Datasets:
SmallDoge
/
decay_dataset_processed

Dataset card Data Studio Files
xet
Community
1
Search is not available for this dataset
input_ids
listlengths
1
2.05k
attention_mask
listlengths
1
2.05k
[ 851, 540, 519, 1533, 1876, 602, 568, 22522, 609, 621, 563, 2690, 811, 1344, 593, 519, 1614, 2157, 540, 1876, 6194, 538, 5245, 723, 513, 1413, 1934, 563, 2791, 666, 1224, 519, 8241, 9139, 2228, 1934, 269, 0, 291, 2905, 9046, 6657, 1496, 26123, 3127, 281, 10432, 476, 272, 316, 268, 476, 1240, 5239, 454, 304, 269, 1548, 941, 519, 24500, 540, 2038, 1480, 7919, 585, 5373, 519, 12379, 18070, 4224, 10367, 286, 9181, 269, 1496, 5611, 1913, 2639, 304, 269, 12315, 606, 2272, 540, 519, 1272, 268, 1811, 540, 6022, 2801, 18070, 25433, 3766, 520, 1877, 3464, 269, 1496, 7742, 1913, 2639, 268, 12226, 786, 581, 11117, 1369, 1079, 2395, 563, 268, 8827, 540, 782, 11540, 2055, 786, 581, 2139, 547, 1346, 19801, 585, 519, 476, 1001, 280, 1449, 3126, 269, 0, 263, 27398, 21832, 306, 264, 1107, 717, 8573, 27984, 1606, 1606, 563, 288, 1007, 5619, 9060, 602, 811, 982, 3368, 540, 4892, 630, 7906, 2600, 264, 946, 10977, 20115, 607, 2146, 8602, 30344, 338, 267, 2901, 10977, 607, 513, 12990, 585, 519, 17643, 610, 1210, 519, 7535, 547, 27125, 1310, 16706, 610, 2324, 538, 519, 4677, 269, 1656, 2943, 267, 4892, 917, 5944, 16445, 20115, 5103, 519, 1249, 602, 3592, 1079, 22188, 630, 5038, 2600, 264, 540, 17013, 2161, 7535, 2447, 1235, 798, 711, 9004, 519, 991, 547, 536, 7752, 1354, 10977, 563, 257, 2691, 13897, 267, 17570, 267, 2123, 1416, 2472, 543, 824, 1919, 538, 938, 1560, 2746, 609, 20841, 267, 972, 568, 1447, 20841, 2139, 547, 9004, 17900, 2437, 1767, 3220, 269, 18281, 654, 5050, 267, 7022, 540, 519, 10866, 543, 2657, 7027, 540, 4826, 269, 834, 305, 1231, 532, 585, 1175, 476, 272, 8792, 18788, 1034, 540, 519, 13897, 267, 17570, 610, 4376, 3116, 593, 707, 1560, 4799, 763, 5619, 7000, 602, 476, 2412, 2600, 540, 4892, 16153, 602, 789, 723, 2712, 3990, 538, 519, 7535, 607, 606, 2937, 269, 7984, 3215, 538, 519, 7535, 23465, 609, 20841, 543, 6971, 519, 2179, 540, 20841, 2139, 547, 6146, 17900, 563, 10454, 5377, 1899, 568, 281, 798, 711, 890, 324, 538, 519, 7535, 2437, 1767, 631, 7865, 548, 670, 15442, 21542, 267, 2212, 540, 519, 13245, 4210, 21148, 1982, 693, 15509, 269, 834, 18933, 21148, 568, 606, 5140, 1259, 547, 581, 9308, 3742, 543, 711, 2712, 3215, 538, 519, 7535, 568, 513, 1883, 1900, 585, 2635, 10977, 4799, 6097, 547, 519, 5619, 267, 3592, 513, 10116, 540, 4892, 1767, 789, 1131, 979, 547, 513, 7535, 1369, 835, 5662, 1310, 2348, 13165, 543, 3592, 3368, 540, 873, 2760, 1491, 513, 17643, 1354, 10977, 563, 3383, 267, 9811, 267, 2015, 891, 4052, 5013, 950, 596, 979, 547, 519, 7535, 585, 17341, 4303, 563, 257, 303, 8962, 616, 1390, 4025, 547, 723, 1187, 609, 2828, 543, 1920, 2437, 1767, 13343, 631, 1442, 267, 2920, 532, 15445, 10615, 540, 519, 623, 944, 543, 10496, 340, 3960, 529, 19137, 269, 834, 288, 8036, 7535, 11346, 666, 1118, 519, 4999, 540, 7535, 6464, 2635, 543, 2922, 267, 543, 7669, 11302, 666, 948, 1832, 621, 1134, 676, 10977, 538, 513, 2635, 1259, 4799, 10890, 8387, 4363, 2357, 4328, 14791, 8464, 693, 519, 7669, 3135, 610, 2228, 1354, 2469, 547, 519, 7535, 269, 634, 4826, 10866, 543, 2657, 7027, 814, 16432, 513, 3395, 1592, 540, 2199, 543, 1533, 1072, 13623, 602, 1683, 2228, 1569, 547, 7535, 14791, 5359, 269, 0, 299, 1853, 3467, 568, 2324, 547, 15063, 891, 8874, 543, 7857, 1125, 873, 585, 11091, 543, 2079, 1354, 789, 4076, 14016, 730, 269, 20506, 3467, 814, 2907, 3616, 817, 1881, 543, 23345, 7366, 540, 10514, 1449, 7044, 547, 519, 4950, 267, 799, 713, 3018, 781, 29746, 3773, 547, 3648, 269, 634, 7857, 1242, 7044, 1450, 519, 5399, 547, 7903, 6006, 335, 850, 2257, 4464, 9789, 1101, 9382, 540, 891, 7044, 941, 2944, 16924, 267, 6466, 1631, 3744, 946, 5904, 11652, 547, 13599, 519, 1857, 563, 14071, 4126, 602, 649, 1131, 2760, 723, 547, 946, 513, 6046, 14049, 2479, 1586, 2223, 26993, 301, 299, 9604, 21997, 15535, 14109, 580, 7714, 1767, 538, 513, 2046, 5305, 585, 513, 16801, 540, 3616, 817, 1881, 10514, 1449, 7044, 2063, 1032, 269, 968, 296, 1589, 602, 952, 649, 7001, 519, 1686, 540, 713, 543, 1397, 1018, 519, 3196, 540, 891, 9604, 616, 543, 875, 1454, 10969, 566, 789, 666, 20739, 752, 267, 1287, 6148, 1004, 786, 581, 26997, 547, 946, 873, 3034, 2080, 616, 513, 7008, 7044, 602, 15180, 1256, 22118, 577, 779, 24575, 540, 519, 14049, 602, 4957, 3388, 912, 23330, 566, 10434, 339, 871, 4083, 729, 513, 2063, 18826, 838, 11781, 547, 2932, 9604, 4255, 609, 1007, 6272, 1354, 513, 5618, 2849, 1807, 1756, 593, 6046, 4255, 538, 476, 4198, 279, 269, 774, 8812, 5498, 1597, 1025, 6814, 941, 5645, 856, 538, 2698, 267, 609, 2185, 9648, 593, 519, 2063, 1554, 1354, 519, 2849, 1807, 1756, 563, 23330, 566, 18067, 545, 15538, 540, 476, 4029, 6046, 4255, 538, 476, 3422, 273, 267, 14775, 547, 519, 759, 18870, 540, 10514, 4255, 676, 519, 8168, 5742, 563, 23330, 566, 1855, 777, 582, 15538, 540, 476, 1691, 10514, 1025, 6814, 538, 21600, 538, 476, 4198, 276, 563, 23330, 566, 10434, 339, 871, 594, 3576, 1747, 538, 476, 4198, 279, 267, 543, 3769, 811, 6046, 1033, 517, 725, 630, 3374, 264, 982, 1185, 2479, 1044, 25793, 14414, 538, 519, 7414, 7909, 1354, 563, 5978, 7379, 17372, 281, 0, 24876, 513, 812, 513, 10068, 11425, 543, 646, 3580, 3049, 5128, 585, 513, 10715, 267, 789, 2161, 269, 1280, 2021, 1472, 519, 1158, 2221, 267, 2834, 1569, 547, 15261, 19712, 543, 513, 16335, 1131, 6961, 1454, 811, 3730, 547, 8236, 2804, 3354, 563, 288, 2487, 6452, 550, 675, 1867, 1336, 602, 20993, 2021, 779, 968, 21745, 1388, 21711, 892, 2443, 741, 1569, 547, 519, 1357, 543, 2596, 5985, 3457, 602, 1034, 5375, 619, 1491, 585, 11292, 2443, 568, 1851, 519, 1034, 2500, 2081, 547, 2673, 519, 2518, 4008, 7934, 269, 3794, 984, 958, 267, 2021, 4324, 950, 789, 666, 1205, 2228, 547, 1265, 1344, 593, 1732, 1790, 4660, 960, 543, 811, 3811, 11678, 269, 1656, 1377, 532, 519, 3059, 4730, 2361, 713, 1259, 2337, 547, 1118, 519, 1158, 779, 28737, 811, 12581, 585, 782, 5520, 563, 10907, 1484, 519, 8608, 267, 2021, 616, 1869, 6976, 1447, 982, 2367, 267, 543, 789, 616, 1419, 16934, 689, 519, 6101, 13781, 15587, 269, 1809, 30945, 519, 2557, 693, 799, 2021, 666, 946, 3059, 2645, 1131, 2759, 538, 3368, 519, 942, 2877, 547, 3914, 2518, 4008, 26027, 267, 6452, 550, 675, 1336, 267, 543, 3142, 3592, 476, 1911, 2929, 3606, 2021, 883, 519, 13781, 563, 3383, 267, 1018, 1281, 513, 5001, 1344, 4838, 585, 2324, 2021, 1413, 899, 286, 3371, 616, 513, 1906, 7399, 563, 19136, 8177, 538, 519, 15043, 2622, 454, 7197, 540, 519, 2640, 547, 2097, 689, 20993, 3059, 21711, 1131, 581, 538, 519, 3384, 1158, 267, 607, 2021, 972, 3068, 811, 10296, 2591, 543, 723, 1447, 2949, 1569, 547, 3059, 2645, 982, 2021, 538, 2342, 610, 3013, 267, 3081, 22526, 29542, 267, 5883, 8689, 693, 6452, 550, 675, 3194, 269, 968, 763, 1761, 972, 568, 865, 1454, 3152, 267, 865, 596, 1860, 865, 1082, 811, 1004, 2223, 1352, 3081, 563, 294, 1622, 616, 2907, 1373, 5433, 607, 14949, 7658, 23890, 4066, 6882, 883, 4057, 267, 6917, 2127, 269, 769, 25157, 267, 585, 3236, 267, 2021, 538, 6552, 14252, 616, 1210, 16389, 547, 4786, 3959, 6302, 543, 5150, 2244, 268, 1144, 11429, 2924, 267, 1247, 4571, 342, 1161, 616, 11488, 1257, 6835, 547, 1931, 4332, 22783, 585, 1762, 6690, 267, 799, 2337, 873, 1569, 18375, 267, 1072, 1416, 543, 2596, 2883, 2533, 563, 1103, 16273, 267, 1082, 4775, 12051, 4600, 616, 1631, 6976, 998, 5985, 22190, 2861, 2724, 20675, 2536, 2533, 267, 4758, 873, 811, 1852, 936, 15271, 602, 723, 1044, 12926, 1419, 1476, 4593, 730, 676, 741, 8152, 27512, 610, 11299, 2987, 25237, 563, 4517, 538, 13280, 267, 4775, 11639, 616, 1210, 5985, 3457, 547, 1628, 6075, 13279, 538, 2127, 789, 666, 1406, 2951, 547, 9108, 538, 1268, 267, 543, 547, 1020, 3318, 3347, 609, 2367, 267, 609, 7247, 621, 666, 581, 13998, 20025, 585, 873, 547, 2743, 835, 6823, 14633, 563, 21430, 4518, 2859, 7457, 1043, 454, 1103, 519, 2919, 1158, 267, 540, 1576, 267, 1034, 1004, 2907, 723, 11436, 543, 1357, 1569, 267, 865, 556, 12686, 519, 2640, 540, 1007, 4066, 568, 513, 811, 1950, 10206, 267, 543, 519, 12374, 5749, 1406, 2141, 607, 2312, 24408, 269, 12846, 267, 2348, 2596, 3059, 19269, 899, 513, 6049, 610, 513, 15291, 666, 1118, 513, 2462, 3017, 547, 2021, 267, 29542, 3081, 563, 13706, 513, 4807, 945, 814, 513, 476, 3445, 18826, 862, 1393, 547, 1200, 5604, 281, 12315, 1200, 519, 2645, 547, 960, 20716, 267, 543, 596, 4076, 13497, 5818, 539, 1200, 7607, 543, 1200, 15980, 1761, 269, 968, 306, 19488, 1352, 666, 960, 689, 1753, 267, 543, 602, 5662, 543, 3368, 666, 1831, 6976, 960, 2223, 29542, 3081, 269, 968, 15463, 2324, 1554, 4679, 676, 1614, 3108, 3034, 2690, 2324, 11299, 267, 2523, 267, 519, 8112, 6035, 676, 1007, 4066, 666, 1930, 811, 3255, 269, 2290, 2487, 6640, 267, 5295, 2414, 293, 569, 13653, 22186, 25978, 2098, 2297, 7288, 3576, 1200, 3018, 6040, 4816, 547, 519, 12963, 1014, 267, 3357, 1753, 267, 12306, 1864, 1524, 23900, 693, 1200, 2427, 2443, 1287, 10544, 5523, 1200, 6049, 543, 1572, 513, 19784, 547, 1865, 1200, 4763, 2987, 3620, 3931, 23492, 563, 6546, 2186, 540, 10591, 2275, 14725, 4221, 1689, 538, 5107, 2443, 689, 1007, 3158, 547, 7022, 540, 513, 2754, 609, 1269, 278, 269, 276, 2929, 538, 2038, 3942, 7616, 2443, 568, 782, 538, 513, 1554, 779, 960, 585, 519, 2413, 4807, 267, 2098, 2297, 7288, 3081, 269, 8729, 547, 7658, 20813, 17182, 1949, 267, 5616, 9022, 338, 267, 4787, 4286, 543, 824, 25411, 1255, 540, 519, 3059, 9036, 267, 621, 779, 2009, 585, 2021, 547, 960, 811, 4827, 4601, 267, 7119, 811, 4628, 538, 519, 4074, 3196, 543, 6707, 5104, 24327, 960, 543, 1920, 1272, 538, 2081, 602, 3105, 5481, 1223, 711, 563, 10214, 1175, 513, 1906, 5756, 3516, 267, 1034, 2021, 2451, 519, 13781, 1310, 2348, 1453, 610, 4718, 741, 11678, 1491, 513, 1394, 572, 520, 547, 9870, 873, 267, 2098, 2297, 7288, 3081, 269, 968, 2467, 729, 1100, 1259, 1250, 3993, 267, 1394, 538, 519, 476, 2735, 271, 338, 267, 1223, 723, 18423, 4448, 547, 1200, 2816, 1510, 4757, 610, 513, 1496, 332, 9394, 316, 6049, 2223, 1352, 3081, 269, 968, 763, 2645, 649, 723, 2221, 616, 5458, 10256, 585, 4008, 4763, 543, 10014, 3034, 763, 11588, 589, 1066, 1406, 20518, 3176, 4982, 958, 454, 8170, 1576, 267, 621, 779, 2653, 2614, 585, 513, 4807, 945, 8255, 1200, 1378, 2754, 547, 946, 2029, 547, 2087, 1200, 2324, 1272, 269, 1306, 1200, 1378, 20148, 267, 2098, 2297, 7288, 4769, 1406, 723, 547, 22321, 4896, 547, 1577, 1200, 960, 689, 1753, 267, 610, 2307, 10479, 547, 3251, 4448, 1282, 1200, 544, 24471, 4734, 563, 6624, 2021, 5749, 1406, 865, 18822, 281, 8262, 3549, 899, 23968, 5622, 267, 7813, 540, 3013, 543, 22126, 616, 782, 6972, 1394, 741, 6552, 268, 11529, 4507, 269, 1703, 779, 2370, 4324, 547, 2348, 4066, 602, 1450, 8465, 2324, 952, 707, 20148, 525, 616, 9158, 1227, 10353, 547, 7658, 5570, 5024, 563, 2467, 779, 849, 513, 1981, 602, 519, 2640, 540, 2799, 8112, 786, 934, 4902, 547, 519, 16108, 267, 711, 519, 9441, 269, 21253, 2225, 1500, 2009, 676, 519, 17254, 4346, 1522, 581, 513, 3076, 5202, 585, 930, 4600, 267, 855, 621, 666, 4734, 1866, 26545, 17331, 689, 835, 14605, 6976, 17254, 547, 1776, 267, 2713, 1510, 2640, 610, 513, 11931, 2628, 13765, 2443, 513, 3510, 7899, 540, 11299, 616, 2907, 5432, 609, 1472, 519, 1158, 563, 6546, 779, 2523, 3983, 3377, 585, 2021, 267, 609, 513, 3395, 1560, 540, 1239, 6029, 602, 519, 12886, 2021, 3068, 538, 519, 6671, 9036, 616, 28659, 538, 519, 17254, 4346, 269, 645, 1601, 525, 945, 3668, 513, 11173, 2078, 609, 4600, 1419, 9949, 547, 15859, 633, 9794, 906, 2443, 1519, 4008, 11475, 2443, 950, 1818, 3664, 827, 945, 547, 16926, 543, 875, 1454, 547, 2628, 873, 563, 2108, 2304, 5051, 28479, 766, 13781, 949, 1118, 519, 1966, 540, 5256, 17979, 1256, 8338, 2223, 29808, 670, 1716, 17505, 8895, 704, 514, 267, 3194, 21133, 7905, 540, 9442, 693, 519, 2160, 540, 8828, 4993, 267, 7788, 28086, 3427, 585, 9442, 543, 4750, 1143 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14950, 4330, 538, 16692, 5174, 268, 23211, 4817, 280, 274, 267, 519, 2604, 14950, 540, 519, 1459, 8798, 666, 849, 4688, 1570, 543, 621, 568, 849, 14402, 269, 4475, 267, 519, 5478, 543, 6283, 540, 519, 2604, 14950, 568, 811, 22237, 269, 1809, 849, 547, 14458, 922, 7829, 269, 0, 3201, 12283, 289, 6938, 476, 272, 6167, 3951, 476, 276, 570, 12239, 4888, 14684, 8991, 454, 31580, 476, 272, 1315, 10789, 476, 272, 910, 32511, 6756, 6019, 5149, 10588, 3143, 269, 476, 276, 454, 14818, 282, 8080, 282, 3778, 282, 17030, 270, 11749, 1132, 282, 9931, 540, 674, 877, 282, 13639, 9931, 282, 3427, 7797, 9315, 282, 14174, 17988, 282, 901, 3896, 568, 585, 782, 5149, 476, 276, 1053, 2921, 10789, 476, 272, 269, 10312, 539, 10789, 595, 5960, 2985, 2608, 1492, 27350, 1883, 568, 2979, 1547, 25103, 585, 19590, 269, 5149, 476, 271, 910, 2776, 25575, 5040, 10341, 10789, 476, 272, 282, 15019, 25103, 1547, 15019, 25103, 269, 16453, 4639, 4400, 3427, 454, 31580, 476, 272, 5149, 476, 276, 4530, 18044, 11568, 1923, 13658, 2280, 454, 9359, 4974, 10789, 476, 272, 5149, 476, 276, 4530, 269, 6258, 6863, 267, 2474, 267, 543, 811, 609, 15460, 267, 3756, 267, 543, 824, 1353, 2645, 563, 22069, 1903, 547, 10789, 476, 272, 5871, 11759, 630, 7818, 25320, 28760, 276, 4366, 276, 264, 910, 962, 334, 454, 312, 2464, 256, 3767, 568, 519, 942, 547, 28196, 710, 707, 3020, 1582, 1210, 6215, 14575, 779, 1863, 10789, 476, 272, 5871, 11759, 4267, 269, 590, 1117, 519, 6848, 543, 2686, 6386, 8066, 596, 1394, 543, 1577, 1863, 1900, 8386, 9912, 10789, 476, 272, 5871, 11759, 1837, 3435, 556, 528, 1304, 707, 2025, 26336, 269, 715, 8582, 454, 31580, 476, 272, 5149, 476, 276, 4530, 12226, 1923, 8281, 21584, 27160, 8530, 661, 1504, 454, 31580, 476, 272, 5149, 476, 276, 4530, 12226, 901, 1433, 1592, 585, 1346, 945, 3168, 585, 547, 1224, 543, 2972, 519, 10789, 476, 272, 5149, 476, 276, 4530, 12226, 267, 596, 666, 1224, 610, 4647, 21584, 27160, 8530, 2835, 543, 1810, 1405, 7340, 547, 2285, 5491, 547, 519, 13009, 4565, 5074, 4589, 338, 930, 540, 2835, 949, 711, 2139, 585, 707, 2197, 543, 1152, 2139, 585, 1346, 945, 24049, 543, 4096, 547, 519, 2707, 540, 519, 1433, 5399, 7270, 563, 17004, 9288, 910, 7223, 476, 272, 1770, 476, 276, 2689, 454, 17004, 9288, 568, 606, 1930, 1565, 2146, 10023, 7317, 4245, 593, 513, 3099, 540, 3584, 563, 20175, 18662, 4804, 2433, 476, 280, 628, 6103, 10789, 476, 272, 2433, 5530, 20929, 454, 280, 628, 6103, 10789, 476, 272, 269, 9664, 282, 25038, 282, 11619, 1137, 282, 11242, 11545, 3397, 12629, 269, 5530, 20929, 5149, 476, 279, 5530, 6651, 585, 476, 274, 270, 272, 4530, 269, 16534, 7010, 540, 12430, 21153, 8017, 676, 8641, 532, 5149, 476, 277, 5530, 6651, 269, 32437, 5623, 269, 5149, 476, 276, 3487, 476, 273, 5530, 20929, 269, 5149, 476, 276, 5530, 20929, 269, 5149, 476, 275, 5530, 6651, 269, 476, 1015, 270, 736, 6206, 547, 22588, 569, 5623, 269, 22588, 569, 476, 272, 11929, 5530, 6651, 269, 5149, 476, 274, 314, 14457, 2639, 31580, 476, 272, 6657, 4530, 8382, 6206, 910, 10789, 4211, 20199, 454, 31580, 476, 272, 10789, 476, 272, 6657, 4530, 20797, 4530, 20797, 4530, 10789, 6657, 4530, 5153, 8386, 28157, 10298, 3487, 476, 272, 281, 19648, 281, 1280, 2055, 476, 272, 268, 736, 267, 5858, 519, 2953, 2626, 593, 707, 2626, 6656, 563, 531, 5040, 476, 272, 18044, 11568, 543, 5530, 30498, 1923, 13658, 2280, 454, 16521, 689, 476, 4335, 1114, 5036, 540, 7223, 476, 272, 15460, 593, 13658, 2280, 269, 10789, 476, 272, 5149, 476, 272, 269, 24438, 269, 12910, 269, 6145, 16301, 269, 19693, 269, 513, 4484, 602, 4564, 606, 7164, 1297, 269, 513, 1297, 267, 4756, 267, 610, 1587, 540, 513, 1297, 543, 513, 4756, 269, 2474, 602, 723, 519, 1482, 4632, 267, 610, 2474, 602, 616, 21635, 16804, 14457, 2639, 6637, 4530, 8382, 16847, 476, 272, 269, 476, 273, 269, 476, 274, 269, 476, 275, 269, 476, 276, 269, 476, 277, 269, 476, 278, 269, 476, 279, 269, 476, 280, 269, 476, 1015, 454, 6637, 4530, 1107, 8382, 6206, 3487, 476, 272, 281, 1280, 2055, 476, 272, 268, 278, 267, 5858, 519, 2626, 602, 1655, 4267, 519, 2243, 269, 630, 476, 272, 8672, 1142, 3738, 476, 272, 269, 634, 6935, 1063, 519, 1614, 5011, 540, 513, 6906, 568, 3254, 2630, 269, 476, 273, 343, 266, 276, 1535, 476, 274, 343, 910, 272, 1403, 519, 15943, 540, 519, 6906, 568, 476, 4097, 269, 277, 4699, 267, 1018, 568, 519, 3259, 540, 519, 13074, 2427, 540, 519, 6906, 286, 589, 1040, 476, 276, 269, 272, 1496, 14457, 2639, 31580, 476, 272, 6657, 4530, 910, 10789, 4211, 20199, 454, 31580, 476, 272, 10789, 476, 272, 6657, 4530, 20797, 4530, 20797, 4530, 10789, 476, 272, 6657, 4530, 1700, 8382, 16847, 1547, 3487, 476, 272, 281, 13038, 14893, 910, 5999, 616, 4502, 476, 272, 1448, 1142, 269, 13038, 14893, 910, 11192, 22043, 281, 543, 2689, 519, 1806, 543, 2259, 2042, 585, 602, 1880, 1770, 14386, 9046, 7089, 10789, 5149, 476, 272, 267, 476, 1704, 5149, 476, 272, 281, 14572, 12307, 454, 16665, 19707, 585, 7223, 476, 272, 1770, 476, 276, 1449, 4267, 454, 531, 5040, 476, 272, 1770, 476, 276, 1449, 531, 5040, 476, 272, 1770, 476, 273, 4267, 531, 5040, 476, 272, 1770, 476, 274, 4267, 577, 1986, 476, 276, 7223, 476, 272, 1449, 4267, 531, 5040, 476, 273, 1770, 476, 276, 1449, 531, 5040, 476, 272, 1770, 476, 278, 4267, 531, 5040, 476, 273, 1770, 476, 272, 1449, 531, 5040, 476, 272, 1770, 476, 274, 1449 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2497, 1459, 538, 2347, 3259, 540, 8405, 15399, 334, 18751, 851, 540, 5247, 25714, 13570, 769, 2347, 3259, 540, 30439, 320, 476, 1626, 268, 736, 1412, 290, 262, 8032, 14034, 616, 1459, 799, 2061, 30439, 320, 689, 2458, 2355, 532, 563, 268, 1452, 616, 7768, 540, 1728, 13824, 20162, 269, 1452, 14034, 616, 18106, 593, 24725, 2627, 540, 30439, 320, 269, 2201, 24725, 2627, 267, 30439, 23653, 6091, 616, 1459, 799, 616, 32246, 538, 2470, 1299, 948, 538, 519, 546, 7976, 540, 30439, 320, 1282, 3196, 995, 7244, 563, 1103, 519, 1277, 1108, 540, 3774, 540, 30439, 320, 267, 476, 275, 6106, 616, 1459, 630, 11900, 728, 547, 856, 2072, 994, 272, 269, 631, 1075, 6242, 281, 476, 274, 1016, 4494, 454, 299, 600, 2088, 16885, 320, 281, 681, 2045, 983, 32248, 24561, 5160, 454, 15404, 4788, 529, 11940, 6242, 281, 7043, 15994, 1299, 8562, 983, 4887, 26939, 563, 273, 269, 4427, 332, 1075, 6242, 281, 3657, 6897, 24561, 5160, 454, 274, 269, 14295, 559, 698, 29532, 23771, 281, 1412, 290, 262, 3337, 14034, 540, 1728, 13824, 20162, 563, 275, 269, 20658, 3821, 13491, 527, 807, 281, 6519, 32248, 24561, 5160, 563, 289, 1258, 577, 658, 3529, 630, 289, 269, 570, 4700, 1299, 28614, 10326, 630, 305, 269, 570, 8094, 1103, 19357, 1470, 548, 3529, 267, 20162, 14034, 616, 1459, 267, 1247, 891, 616, 15534, 538, 7929, 3529, 563, 294, 29917, 5385, 4386, 538, 7929, 3529, 1247, 621, 568, 15534, 538, 19357, 658, 3529, 563, 24127, 540, 2011, 799, 568, 4904, 538, 645, 11053, 269, 568, 513, 851, 540, 4666, 2230, 4320, 269, 799, 3085, 1405, 1491, 513, 851, 538, 31529, 5385, 269, 630, 5611, 16720, 994, 268, 589, 6292, 540, 9641, 616, 1459, 538, 519, 5247, 25714, 2275, 822, 640, 269, 25016, 338, 616, 4988, 676, 513, 5595, 2173, 19830, 2033, 799, 616, 1572, 519, 20167, 1116, 2173, 19830, 6951, 563, 268, 4934, 518, 9245, 568, 519, 623, 926, 13926, 20167, 3120, 543, 6418, 2173, 19830, 2033, 568, 519, 6250, 30844, 5418, 3120, 269, 5637, 891, 17011, 616, 6508, 689, 519, 8544, 25866, 563, 268, 769, 1063, 1312, 519, 17011, 513, 1360, 7522, 13570, 1572, 20167, 1116, 2275, 822, 640, 568, 1459, 269, 769, 713, 13570, 267, 513, 1360, 6094, 4494, 540, 5418, 1116, 5714, 568, 1459, 630, 12671, 476, 5611, 16720, 1916, 268, 6884, 1813, 547, 9190, 3968, 519, 2179, 540, 713, 5714, 4679, 269, 1924, 267, 519, 11248, 7959, 513, 7411, 538, 7244, 630, 323, 903, 335, 333, 4141, 320, 1040, 901, 568, 17941, 607, 5418, 9766, 344, 610, 5418, 1116, 2498, 4288, 2068, 563, 268, 769, 1480, 1373, 1318, 5761, 1500, 909, 540, 476, 274, 10981, 525, 1299, 2451, 5761, 1500, 909, 540, 476, 273, 10981, 525, 7868, 1318, 5761, 540, 31594, 568, 1500, 909, 540, 476, 275, 10981, 525, 543, 519, 2451, 5761, 568, 1500, 909, 540, 476, 273, 10981, 525, 563, 14738, 5761, 910, 476, 275, 10981, 525, 281, 1323, 10262, 513, 5414, 326, 657, 267, 9406, 18751, 267, 9406, 17911, 267, 5403, 7845, 513, 5414, 326, 657, 454, 29381, 5761, 910, 476, 273, 10981, 525, 281, 19382, 18751, 267, 19382, 17911, 454, 14738, 5761, 630, 27698, 575, 332, 264, 910, 476, 274, 10981, 525, 281, 1323, 10262, 27914, 267, 5664, 27914, 267, 5403, 7845, 27914, 454, 29381, 5761, 630, 276, 4037, 575, 332, 264, 910, 476, 273, 10981, 525, 281, 19382, 18751, 267, 19382, 17911, 454, 268, 3962, 27914, 568, 2417, 5258, 883, 1896, 10981, 2737, 676, 694, 24473, 540, 24561, 5160, 563, 268, 3962, 10981, 2544, 568, 2417, 5258, 883, 1896, 2011, 1606, 30929, 282, 543, 538, 519, 1439, 267, 1142, 2011, 1606, 659, 568, 2063, 569, 5258, 883, 476, 274, 610, 476, 275, 31276, 10008, 282, 799, 616, 849, 17941, 607, 519, 4559, 540, 9641, 563, 268, 23305, 1299, 6198, 1770, 540, 9641, 568, 1572, 31276, 10008, 27051, 476, 4968, 2929, 31276, 10008, 616, 1459, 538, 1312, 5761, 269, 28740, 630, 531, 557, 6897, 264, 2627, 1858, 540, 1312, 9641, 568, 5111, 476, 1911, 544, 273, 563, 268, 9931, 540, 31276, 10008, 2874, 540, 1079, 6106, 267, 9018, 4494, 568, 7768, 540, 5835, 32248, 454, 268, 595, 11053, 1421, 6418, 4494, 568, 7768, 540, 2241, 2695, 13904, 13423, 26375, 454, 9217, 264, 8293, 13904, 2281, 616, 1572, 607, 13969, 14231, 563, 23870, 264, 4107, 540, 519, 13969, 14231, 630, 303, 12149, 22889, 16927, 264, 948, 538, 31529, 5385, 1247, 1906, 13969, 14231, 630, 303, 12149, 22889, 268, 2862, 264, 799, 616, 3677, 538, 2450, 694, 4740, 700, 4488, 18952, 2562, 630, 4942, 6664, 30649, 573, 264, 713, 6411, 607, 1147, 2399, 656, 799, 11151, 31276, 10008, 689, 1121, 22135, 12900, 676, 4227, 922, 2627, 8082, 563, 2704, 557, 10008, 540, 9641, 454, 268, 1325, 557, 10008, 4835, 2627, 540, 568, 17941, 607, 519, 28614, 2627, 269, 898, 568, 6508, 689, 519, 1439, 25866, 540, 519, 21872, 563, 268, 10163, 2898, 5761, 568, 8544, 25866, 531, 269, 634, 1647, 851, 540, 31276, 10008, 3774, 568, 1500, 909, 540, 24561, 5160, 269, 898, 568, 3638, 569, 13859, 609, 1973, 1698, 650, 2456, 267, 513, 10053, 3060, 540, 1973, 1698, 650, 2456, 568, 1336, 538, 31276, 10008, 563, 268, 1452, 1973, 1698, 650, 2456, 2097, 689, 17422, 16050, 269, 17240, 14004, 16050, 17337, 883, 1973, 1698, 650, 2456, 1310, 8757, 538, 9641, 269, 1452, 1698, 650, 2456, 689, 513, 10053, 3060, 538, 519, 6821, 540, 31276, 10008, 269, 2353, 891, 1698, 650, 2456, 9192, 547, 1106, 17422, 18916, 693, 519, 1776, 1439, 269, 1452, 15532, 4163, 6986, 1973, 547, 519, 2451, 28050, 1834, 540, 519, 2295, 269, 1703, 616, 1507, 22405, 1459, 538, 519, 6821, 540, 31276, 10008, 269, 1452, 22405, 1118, 18236, 540, 9362, 2653, 269, 1452, 22405, 616, 1572, 22405, 540, 918, 7897, 269, 898, 568, 519, 8984, 4183, 540, 27899, 9641, 267, 602, 972, 568, 1100, 3844, 13570, 267, 26495, 6501, 9641, 616, 4396, 543, 29008, 344, 563, 268, 4053, 3380, 616, 15534, 538, 519, 9641, 540, 11864, 269, 1924, 519, 1379, 540, 1582, 9762, 3555, 543, 1582, 7721, 335, 3290, 568, 15534, 538, 891, 9641, 269, 630, 306, 3089, 523, 9641, 994, 1320, 528, 25714, 21799, 281, 15147, 902, 540, 5247, 25714, 13570, 2306, 5247, 25714, 21799, 563, 2304, 10262, 2627, 281, 1849, 822, 1834, 7633, 2073, 3026, 1188, 454, 8070, 7845, 2627, 281, 4144, 24530, 332, 563, 291, 832, 531, 2627, 281, 7638, 974, 13887, 6241, 1299, 25906, 338, 454, 309, 11384, 2627, 281, 590, 1181, 636, 1299, 28937, 563, 299, 8632, 2627, 281, 25906, 338, 454, 288, 16757, 31027, 636, 799, 568, 1336, 1152, 538, 11864, 630, 663, 25438, 850, 1040, 16453, 3337, 540, 621, 568, 26434, 899, 799, 17337, 1560, 13570, 538, 1079, 2694, 5580, 5247, 25714, 13570, 1299, 2539, 14159, 13570, 563, 13312, 24530, 332, 1103, 3844, 3148, 540, 29690, 267, 3844, 25688, 568, 1459, 621, 568, 22815, 1027, 676, 476, 274, 3889, 912, 31702, 264, 5403, 7845, 642, 6511, 524, 6072, 7101, 658, 6091, 616, 1459, 538, 29690, 454, 5445, 22132, 689, 13020, 344, 1299, 17332, 538, 3844, 3148, 540, 29690, 269, 1635, 519, 19432, 538, 891, 6091, 267, 29690, 1831, 24609, 538, 3337, 267, 865, 267, 4320, 540, 5247, 25714, 13570, 4679, 4475, 267, 29690, 2337, 538, 6667, 563, 268, 3955, 322, 739, 531, 6091, 630, 2975, 300, 2567, 6611, 1063, 1079, 28937, 568, 1572, 954, 1942, 531, 2230, 538, 799, 476, 273, 2010, 540, 6091, 616, 1459, 563, 268, 24498, 594, 13967, 630, 292, 2975, 300, 2567, 1358, 22132, 689, 24725, 851, 540, 5580, 10775, 1299, 7696, 593, 5887, 1537, 851, 540, 2539, 10775, 269, 1635, 519, 19432, 538, 713, 6091, 267, 10775, 1299, 29523, 636, 10593, 16057, 1299, 21286, 269, 1924, 789, 2337, 538, 6667, 563, 268, 594, 2975, 300, 281, 1358, 22132, 689, 24725, 851, 540, 2539, 10775, 1299, 7696, 538, 5887, 1537, 851, 540, 5580, 10775, 269, 1635, 519, 19432, 538, 891, 6091, 267, 28937, 1299, 29523, 636, 10593, 18746, 1299, 27808, 6606, 269, 865, 621, 2337, 538, 3196, 995, 1163, 19418, 799, 568, 513, 17319, 2534, 267, 1924, 19432, 540, 594, 2975, 300, 568, 896, 519, 1852, 540, 6147, 1962, 636, 269, 0, 2690, 707, 15937, 7433, 267, 596, 786, 2697, 543, 30075, 519, 2035, 543, 21437, 540, 7209, 3069, 602, 596, 1265, 547, 581, 519, 1034, 4977, 543, 3617, 538, 7713, 7209, 543, 1646, 563, 9961, 519, 1576, 267, 596, 723, 7722, 267, 2625, 539, 267, 13603, 6306, 267, 543, 11117, 519, 3206, 540, 513, 1804, 1297, 540, 28466, 945, 5206, 1282, 1114, 3140, 5712, 689, 1114, 30095, 267, 17565, 1738, 267, 543, 20748, 5380, 269, 9122, 593, 1114, 26441, 540, 1480, 1995, 267, 519, 28466, 6410, 4724, 513, 4909, 1620, 540, 513, 2582, 1888, 543, 4909, 2243, 281, 1548, 568, 519, 1480, 7209, 267, 543, 267, 811, 3622, 267, 1018, 2306, 721, 1018, 649, 616, 607, 2043, 543, 607, 513, 2249, 888, 2791, 723, 2907, 13175, 713, 4305, 676, 7114, 1018, 596, 1745, 616, 519, 1034, 8903, 2035, 538, 519, 1101, 2185, 540, 519, 5722, 7811, 3631, 4988, 538, 519, 1576, 1282, 519, 10432, 476, 274, 12729, 16610, 7084, 269, 1411, 786, 3136, 602, 1184, 538, 519, 1101, 851, 540, 713, 22226, 7869, 15937, 7433, 676, 7114, 1018, 596, 1265, 547, 581, 519, 1034, 8903, 2035, 538, 519, 6967, 1614, 3631, 269, 3973, 596, 786, 3136, 602, 4879, 676, 13754, 1944, 519, 2035, 540, 7209, 602, 454, 7312, 1957, 1058, 581, 6896, 2687, 547, 519, 1739, 10325, 267, 609, 6810, 6896, 896, 519, 1739, 14905, 268, 8971, 1540, 26333, 269, 17372, 519, 1739, 16551, 585, 1142, 16144, 269, 630, 2690, 5528, 593, 1603, 1697, 26333, 543, 824, 3561, 2609, 267, 1294, 519, 12891, 5112, 2160, 5675, 4741, 5889, 23717, 338, 14905, 13910, 15689, 630, 299, 3855, 547, 606, 5007, 3135, 12175, 994, 1103, 707, 1957, 267, 1331, 519, 1739, 912, 9359, 707, 1957, 609, 513, 2489, 267, 4081, 4367, 547, 519, 1888, 540, 6436, 540, 7209, 563, 1103, 10432, 476, 274, 267, 596, 4857, 1018, 596, 2808, 547, 581, 519, 1034, 1271, 2035, 689, 519, 2618, 17871, 267, 519, 5778, 6798, 1670, 267, 519, 5042, 267, 543, 519, 16023, 3631, 540, 7209, 269, 769, 713, 3296, 540, 519, 15937, 7433, 267, 596, 786, 1459, 513, 1523, 689, 1142, 540, 519, 6967, 1614, 3631, 5889, 11366, 892, 8965, 267, 14375, 267, 543, 1582, 268, 17595, 1108, 3631, 563, 2690, 1142, 540, 891, 1614, 2035, 912, 16605, 538, 2247, 602, 519, 1843, 540, 713, 7084, 568, 547, 2697, 543, 1865, 513, 1808, 1523, 689, 1142, 2203, 543, 711, 547, 1445, 593, 1175, 835, 2203, 610, 1683, 7650, 338, 540, 519, 3631, 829, 694, 563, 763, 32018, 540, 670, 1229, 640, 543, 5113, 454, 1103, 713, 1362, 267, 649, 723, 8268, 519, 5107, 19021, 640, 267, 519, 1604, 267, 543, 27981, 7497, 1404, 538, 519, 1646, 540, 7209, 269, 769, 713, 3296, 2676, 10112, 20156, 538, 22226, 7869, 454, 1103, 713, 3296, 267, 2992, 593, 519, 1585, 2409, 585, 12570, 7209, 602, 814, 1044, 4843, 538, 713, 1576, 267, 543, 2824, 835, 602, 596, 1745, 568, 1034, 3730, 563, 1103, 713, 3296, 540, 519, 1957, 267, 2992, 593, 707, 7209, 267, 543, 2232, 519, 1739, 3688, 912, 1103, 713, 3296, 267, 2015, 875, 596, 666, 946, 519, 1702, 689, 713, 1576, 607, 513, 3318, 267, 5466, 519, 1739, 6221, 912, 17809, 728, 513, 5618, 3932, 267, 5466, 519, 1739, 912, 763, 22226, 7869, 15937, 7433, 454, 22512, 2685, 2689, 519, 717, 15665, 11676, 878, 585, 519, 7355, 602, 786, 581, 1031, 547, 6218, 707, 7084, 269, 0, 288, 10855, 1557, 568, 513, 2110, 7084, 538, 799, 596, 4766, 610, 17412, 1945, 593, 519, 1888, 269, 9521, 538, 1603, 513, 8912, 12819, 1557, 267, 596, 1810, 1406, 723, 547, 5531, 6114, 689, 1114, 1004, 269, 589, 10855, 1557, 568, 3335, 1447, 982, 835, 2985, 269, 898, 2356, 3085, 1406, 1491, 1932, 1454, 942, 547, 2328, 621, 269, 6884, 596, 949, 711, 723, 1256, 602, 942, 267, 865, 952, 596, 1131, 899, 707, 10855, 1557, 547, 581, 2854, 676, 606, 4274, 5856, 538, 1896, 3108, 267, 596, 1058, 3346, 606, 2228, 1603, 2754, 543, 1747, 606, 14849, 1931, 269, 1411, 786, 1205, 606, 11141, 1557, 693, 513, 9793, 3902, 563, 288, 10855, 1557, 568, 2808, 519, 14724, 4081, 4305, 269, 769, 713, 1557, 267, 596, 1810, 1406, 991, 547, 5531, 6169, 540, 3877, 563, 2791, 12582, 1406, 3575, 513, 10855 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1898, 282, 607, 476, 2190, 3620, 2293, 10729, 608, 17917, 4015, 540, 782, 519, 5396, 2059, 609, 922, 6111, 729, 519, 10421, 540, 519, 1353, 269, 15783, 5171, 941, 1287, 5697, 593, 519, 4493, 540, 5542, 7355, 269, 4495, 513, 1641, 729, 5697, 267, 2777, 11564, 941, 1500, 547, 2445, 519, 1239, 269, 4256, 5483, 9844, 729, 3144, 1354, 10647, 1022, 1239, 4015, 269, 19078, 24999, 729, 5833, 676, 519, 19078, 9730, 540, 519, 5851, 3163, 4972, 267, 2160, 540, 14076, 553, 22474, 267, 26566, 760, 584, 563, 23114, 1880, 338, 540, 519, 5396, 941, 3144, 676, 1210, 1582, 2919, 840, 2389, 6479, 5967, 8430, 563, 3891, 697, 630, 9492, 1070, 2597, 630, 11899, 1070, 22765, 543, 12048, 4931, 325, 3720, 630, 9492, 264, 941, 3144, 543, 19483, 543, 654, 16281, 941, 2417, 7229, 676, 1210, 4767, 6724, 269, 7053, 789, 941, 14648, 607, 829, 741, 9757, 2016, 2759, 4752, 2418, 1496, 1724, 267, 1691, 4940, 10610, 3170, 6871, 729, 6027, 676, 1210, 744, 17307, 2177, 10610, 15310, 18554, 2203, 670, 289, 293, 268, 27420, 267, 799, 729, 2417, 1031, 547, 5173, 3170, 1863, 2527, 1031, 547, 6166, 519, 1264, 28467, 540, 10729, 3732, 6394, 563, 1103, 1459, 1353, 1344, 3823, 519, 8192, 4806, 540, 5396, 729, 10356, 676, 1210, 476, 2190, 16923, 8192, 11291, 585, 1614, 2395, 1519, 835, 9702, 269, 634, 9770, 1543, 540, 891, 11326, 729, 1287, 7229, 676, 1210, 968, 291, 2884, 5632, 892, 3301, 1759, 593, 968, 24465, 5253, 23531, 23959, 892, 1547, 589, 19120, 5511, 5253, 22039, 7726, 32666, 729, 849, 1031, 547, 3313, 875, 1419, 1978, 3536, 941, 13881, 269, 2353, 8192, 1239, 729, 3144, 676, 513, 8036, 6484, 626, 563, 291, 2884, 776, 2409, 585, 7893, 9770, 4616, 616, 4101, 267, 6140, 1813, 547, 741, 3908, 2702, 547, 7001, 519, 24787, 776, 3096, 540, 6070, 269, 26678, 4616, 2090, 4061, 3335, 30391, 519, 3020, 6070, 6981, 1496, 1626, 268, 1240, 4940, 26062, 2185, 5662, 17256, 9770, 608, 17917, 729, 23647, 676, 14959, 607, 513, 4154, 3044, 1505, 547, 7447, 9770, 4616, 538, 519, 2551, 1547, 25392, 602, 476, 5952, 260, 540, 519, 9770, 6981, 568, 608, 920, 1540, 538, 519, 10729, 267, 476, 2190, 3620, 10729, 608, 17917, 814, 1044, 1031, 607, 513, 15262, 585, 3232, 9770, 4616, 1547, 29594, 757, 941, 3177, 609, 513, 476, 4335, 16720, 581, 6033, 609, 513, 2647, 6679, 267, 1187, 6773, 547, 581, 1031, 1282, 10729, 4015, 543, 513, 2947, 20990, 17684, 1309, 5529, 5068, 14569, 7308, 4015, 8708, 630, 23719, 1022, 29089, 894, 1040, 23527, 941, 2016, 11913, 543, 2854, 827, 519, 5650, 547, 2445, 10729, 883, 519, 8708, 269, 4438, 519, 4015, 1974, 267, 5171, 941, 25009, 547, 4558, 519, 4859, 8708, 538, 513, 3579, 543, 4158, 1747, 267, 2476, 689, 3002, 610, 3141, 563, 308, 9068, 11149, 941, 16516, 585, 5401, 2132, 547, 519, 8047, 585, 2079, 269, 8178, 906, 941, 5645, 856, 693, 513, 4791, 8047, 676, 8036, 23390, 267, 543, 519, 6281, 1239, 941, 1031, 585, 519, 3483, 269, 7388, 28467, 540, 10729, 3732, 6394, 281, 1323, 4879, 540, 1264, 28467, 540, 519, 10729, 3732, 729, 5645, 856, 676, 21501, 519, 1525, 24100, 1543, 540, 519, 10729, 269, 1280, 519, 3483, 267, 9756, 1063, 17256, 1525, 24100, 543, 519, 16757, 2527, 540, 1142, 1641, 729, 3144, 883, 2272, 269, 15310, 6954, 2527, 630, 13697, 300, 4211, 264, 729, 4061, 7229, 12946, 538, 2247, 519, 1525, 24100, 608, 920, 1540, 538, 519, 476, 2190, 554, 10729, 1210, 519, 1739, 3830, 1547, 15310, 6954, 2527, 630, 11899, 264, 815, 476, 271, 6440, 6349, 476, 3445, 279, 6398, 1525, 24100, 630, 16936, 7933, 264, 1341, 476, 278, 6440, 4343, 269, 634, 2164, 941, 3379, 609, 519, 3170, 6954, 2527, 2164, 5833, 676, 519, 5122, 6915, 574, 6244, 766, 1505, 630, 13697, 300, 7232, 10292, 1040, 1323, 7681, 1063, 674, 30820, 7232, 10292, 543, 674, 30820, 4211, 729, 9277, 547, 6166, 519, 1264, 28467, 540, 10729, 563, 10574, 729, 9916, 676, 1210, 4908, 543, 2600, 3892, 267, 12980, 1611, 267, 3044, 11539, 630, 16256, 1070, 19610, 968, 339, 892, 1449, 267, 9756, 11664, 607, 5551, 585, 519, 1305, 540, 1239, 269, 2353, 9273, 941, 1500, 676, 1210, 22126, 590, 31723, 3301, 563, 14197, 9043, 540, 519, 5396, 11609, 602, 5021, 540, 519, 5396, 630, 6434, 269, 271, 8472, 20705, 547, 5580, 1647, 17502, 1470, 9483, 21073, 269, 1530, 1203, 344, 1079, 2600, 540, 519, 5396, 941, 20757, 543, 1866, 941, 849, 10438, 1875, 268, 557, 1326, 4115, 1426, 1360, 1102, 18526, 269, 29760, 593, 519, 1920, 1686, 540, 13119, 267, 476, 7367, 269, 276, 260, 5396, 1185, 2068, 1686, 2901, 689, 533, 11189, 267, 14774, 610, 1312, 2427, 269, 1879, 5396, 941, 679, 638, 1600, 827, 931, 1481, 710, 748, 4527, 540, 824, 2295, 2068, 267, 476, 4097, 269, 276, 260, 5396, 15527, 9797, 563, 13614, 10236, 6248, 7403, 540, 519, 5396, 616, 4843, 538, 7305, 476, 272, 269, 22955, 6383, 8612, 602, 782, 1611, 10236, 6248, 3800, 941, 2509, 2362, 5011, 1312, 538, 2367, 543, 2021, 269, 5345, 573, 1878, 4080, 519, 7681, 540, 6905, 10236, 5852, 7403, 609, 13119, 1496, 736, 267, 2641, 3910, 9025, 1981, 543, 10894, 25102, 27689, 1496, 2420, 268, 2190, 3910, 2295, 5821, 1496, 1839, 267, 2918, 316, 543, 3987, 1496, 2918, 267, 2767, 4940, 589, 14959, 4274, 15360, 476, 12649, 3621, 2963, 602, 6700, 7489, 5095, 723, 1114, 12205, 1063, 19483, 267, 6871, 540, 1560, 3170, 267, 543, 1072, 4220, 982, 798, 3864, 5095, 269, 1306, 7150, 4505, 602, 519, 15360, 11943, 602, 519, 8167, 540, 7489, 1004, 609, 513, 1164, 1981, 540, 1826, 476, 273, 3987, 543, 9025, 2068, 568, 8101, 693, 22720, 3674, 2539, 982, 519, 4540, 14959, 2759, 11325, 1448, 585, 14968, 630, 19749, 354, 1839, 4846, 8276, 273, 264, 1547, 5525, 689, 7187, 2694, 540, 3127, 1496, 2764, 267, 3066, 316, 1185, 3254, 602, 519, 3339, 19483, 585, 606, 4095, 729, 476, 2420, 4846, 8276, 273, 543, 6462, 519, 2070, 602, 513, 19483, 540, 476, 2537, 269, 271, 4846, 8276, 273, 1522, 581, 4998, 585, 519, 7489, 4095, 2551, 563, 13614, 19483, 540, 5396, 10362, 547, 1114, 2085, 2516, 729, 1336, 547, 581, 476, 2918, 269, 272, 22144, 274, 269, 279, 4846, 8276, 273, 269, 11778, 8612, 519, 9860, 540, 14968, 543, 8377, 538, 5396, 538, 1312, 25469, 630, 8368, 476, 272, 1040, 1879, 519, 9860, 540, 2489, 8377, 729, 12290, 676, 519, 2759, 4752, 2418, 2016, 676, 14959, 476, 585, 2518, 2551, 267, 2282, 827, 3368, 630, 5325, 269, 276, 8472, 540, 519, 2698, 5396, 941, 1336, 547, 581, 840, 17324, 269, 8307, 476, 4391, 269, 276, 260, 540, 5396, 1185, 3339, 19483, 630, 328, 4318, 269, 476, 1240, 269, 2004, 268, 476, 2190, 269, 4200, 1040, 9050, 10117, 2600, 540, 5396, 941, 1336, 4540, 538, 1585, 5049, 540, 8377, 269, 4578, 12290, 2687, 547, 519, 8760, 2016, 585, 7489, 2551, 7000, 602, 476, 6507, 269, 271, 260, 540, 5396, 941, 23630, 519, 3339, 2039, 540, 19483, 269, 8307, 476, 2420, 269, 271, 260, 540, 5396, 1185, 3339, 19483, 267, 10834, 519, 1164, 9860, 540, 2489, 8377, 630, 8201, 476, 272, 1040, 634, 3328, 654, 290, 540, 519, 2367, 729, 476, 11011, 269, 276, 13008, 279, 269, 277, 4699, 267, 799, 729, 1336, 547, 581, 23630, 519, 2759, 11325, 2418, 5227, 585, 2937, 2367, 630, 3445, 4699, 264, 676, 14959, 4586, 306, 877, 7678, 729, 849, 2938, 538, 2021, 630, 10695, 269, 272, 13008, 280, 269, 277, 4699, 538, 6476, 547, 476, 3199, 4699, 1040, 2776, 28700, 540, 3844, 8377, 3989, 607, 654, 290, 21759, 476, 3199, 4699, 538, 2021, 543, 21759, 476, 3445, 4699, 538, 2367, 729, 607, 1164, 607, 476, 5038, 269, 271, 260, 538, 2021, 543, 476, 2568, 269, 271, 260, 538, 2367, 269, 11192, 476, 7830, 269, 271, 260, 5396, 1185, 14159, 8377, 269, 6399, 12048, 18592, 540, 5396, 729, 476, 6200, 269, 272, 13008, 278, 269, 280, 4699, 269, 1306, 2938, 538, 2013, 540, 654, 290, 267, 31125, 729, 849, 1336, 547, 581, 2362, 267, 4352, 607, 609, 824, 10236, 6248, 4632, 267, 972, 568, 1100, 2759, 11325, 1871, 2016, 585, 31125, 269, 19105, 654, 16281, 585, 6594, 2551, 729, 476, 271, 269, 11011, 13008, 271, 269, 6187, 585, 2367, 543, 476, 271, 269, 10037, 13008, 271, 269, 6187, 585, 2021, 10834, 519, 2362, 9860, 540, 14159, 8377, 538, 5396, 269, 634, 9860, 540, 14159, 8377, 538, 5396, 729, 1360, 1164, 1775, 4318, 269, 3368, 540, 519, 2367, 543, 476, 6872, 269, 271, 260, 2021, 5396, 1185, 654, 16281, 811, 982, 476, 271, 269, 280, 543, 476, 271, 269, 279, 6606, 563, 306, 18754, 6981, 568, 540, 1390, 6161, 538, 1459, 9183, 1813, 547, 2799, 9860, 540, 2295, 3676, 799, 568, 9863, 547, 581, 2404, 609, 1164, 9770, 6981, 269, 6399, 9770, 6981, 4080, 676, 519, 5396, 538, 519, 1353, 729, 476, 29575, 271, 269, 277, 22144, 8687, 271, 269, 272, 8406, 27473, 5833, 998, 476, 2190, 3108, 8192, 11291, 1505, 630, 8368, 476, 273, 1040, 3143, 1022, 1713, 3017, 729, 4767, 1851, 4008, 2516, 630, 335, 284, 271, 269, 1822, 1040, 4329, 2079, 7000, 602, 1611, 9770, 6923, 1459, 538, 1426, 729, 476, 278, 5392, 269, 273, 22144, 10082, 269, 279, 8406, 27473, 267, 6466, 6070, 630, 27845, 5141, 264, 729, 7700, 476, 29616, 272, 269, 275, 22144, 12010, 269, 278, 8406, 27473, 540, 9770, 269, 898, 1797, 476, 3199, 269, 276, 260, 540, 9770, 729, 4947, 689, 6070, 3773, 538, 1426, 1282, 5986, 610, 593, 519, 3349, 630, 8201, 476, 273, 1040, 1879, 3379, 609, 5227, 6981, 540, 9770, 630, 1220, 271, 8406, 27473, 264, 607, 2016, 676, 14959, 2073, 476, 6642, 269, 276, 260, 547, 476, 4489, 260, 540, 9770, 6981, 729, 4080, 676, 1312, 4008, 2516, 563, 2026, 6070, 4616, 568, 513, 6213, 3390, 543, 972, 729, 513, 5506, 540, 936, 610, 896, 8989, 267, 519, 10865, 4616, 540, 6070, 729, 849, 6592, 607, 4080, 676, 519, 5396, 269, 4107, 540, 519, 5396, 4080, 519, 17895, 894, 2179, 540, 10865, 6070, 4616, 269, 1358, 1256, 1705, 711, 8068, 519, 2179, 607, 789, 1031, 547, 6718, 621, 538, 13557, 607, 621, 568, 17215, 10464, 543, 3362, 2139, 543, 1031, 538, 7899, 1932, 269, 16680, 539, 6070, 4616, 729, 1287, 5258, 676, 2937, 4616, 1770, 476, 547, 1205, 519, 4616, 693, 1367, 1377, 269, 898, 729, 14648, 689, 4093, 602, 5396, 941, 10438, 593, 606, 3328, 476, 8182, 278, 13008, 14065, 278, 575, 332, 630, 272, 269, 277, 4846, 264, 540, 6070, 829, 3923, 693, 7622, 1377, 269, 1879, 2417, 1367, 6070, 4616, 729, 7229, 593, 4616, 1770, 4493, 2073, 2949, 3328, 4616, 729, 1472, 476, 279, 269, 275, 22144, 273, 269, 277, 575, 332, 27473, 269, 2271, 1389, 941, 23630, 519, 5227, 4616, 538, 2474, 540, 6070, 267, 1775, 4318, 269, 476, 276, 575, 332, 27473, 269, 4329, 267, 950, 519, 2418, 941, 10736, 547, 9770, 267, 621, 729, 6697, 547, 476, 29876, 272, 269, 275, 13008, 9818, 277, 269, 275, 8406, 270, 1554, 563, 306, 18754, 6981, 5833, 676, 8192, 1505, 729, 476, 29575, 271, 269, 277, 22144, 8687, 271, 269, 272, 8406, 27473, 269, 589, 1713, 3017, 729, 4767, 1063, 1797, 540, 1079, 4632, 630, 8368, 476, 274, 264, 607, 5833, 676, 19610, 512, 1449, 269, 1717, 267, 513, 1713, 9756, 729, 5833, 1063, 9770, 7229, 593, 519, 4493, 540, 7622, 4616, 540, 6070, 543, 6070, 4616, 5833, 676, 8192, 1505, 630, 337, 284, 271, 269, 8287, 282, 533, 284, 271, 269, 1822, 1916, 8368, 476, 274, 281, 18948, 1063, 9770, 703, 1389, 5833, 676, 8192, 1505, 543, 10865, 7622, 4616, 540, 6070, 563, 13614, 10729, 4320, 540, 5396, 729, 476, 14378, 273, 269, 277, 22144, 9083, 272, 269, 274, 16720, 27473, 630, 6977, 276, 269, 273, 22144, 10755, 276, 269, 277, 642, 4882, 476, 14991, 271, 22144, 280, 3583, 269, 273, 538, 2367, 543, 2021, 1040, 589, 20060, 22658, 3017, 729, 1336, 1063, 1611, 10729, 4320, 540, 2367, 543, 2021, 630, 335, 815, 271, 269, 271, 4375, 1916, 307, 1963, 476, 275, 268, 277, 4951, 519, 1611, 1525, 24100, 608, 17917, 538, 476, 2190, 16923, 10729, 3732, 269, 9093, 1185, 2362, 1525, 24100, 608, 17917, 630, 12208, 279, 269, 272, 22144, 28526, 269, 272, 8406, 27473, 264, 543, 2021, 608, 920, 1540, 519, 476, 278, 4366, 269, 272, 22144, 30525, 269, 272, 8406, 27473, 540, 519, 1482, 269, 15316, 2188 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1715, 19892, 791, 10620, 839, 2048, 289, 16808, 15606, 685, 543, 1975, 987, 760, 1506, 961, 636, 2048, 30821, 924, 685, 538, 513, 1016, 12555, 1062, 808, 269, 589, 1067, 269, 17502, 269, 29088, 269, 2233, 269, 476, 13199, 476, 279, 1626, 476, 279, 866, 454, 298, 826, 327, 5500, 267, 590, 269, 1299, 5651, 2297, 267, 645, 269, 476, 1960, 279, 12186, 540, 24952, 543, 30175, 6541, 593, 31781, 344, 543, 791, 10620, 839, 538, 1614, 1114, 3395, 2923, 808, 269, 7233, 25326, 337, 269, 476, 2641, 476, 6200, 272, 476, 9083, 274, 454, 299, 2465, 267, 631, 269, 1299, 8709, 594, 518, 1088, 267, 631, 15030, 269, 476, 1220, 279, 31406, 17296, 2360, 593, 2208, 267, 19916, 267, 543, 17550, 540, 932, 24075, 656, 1335, 636, 630, 2419, 24075, 656, 1335, 636, 6398, 332, 528, 604, 565, 1756, 264, 29088, 16631, 476, 6246, 476, 6642, 279, 476, 6245, 272, 454, 300, 770, 29993, 345, 267, 808, 15030, 269, 476, 3192, 278, 1215, 1454, 1216, 547, 4019, 286, 634, 8511, 1604, 267, 533, 269, 476, 275, 2918, 269, 25067, 267, 1715, 3840, 267, 12924, 454, 29409, 2779, 267, 808, 14389, 1421, 1684, 548, 267, 808, 8160, 269, 1299, 23045, 267, 808, 5861, 269, 476, 1220, 272, 674, 23459, 6500, 2707, 543, 12555, 1062, 1860, 12908, 13203, 2208, 543, 9436, 12802, 29088, 16631, 476, 3607, 476, 9083, 273, 476, 9083, 277, 454, 305, 327, 1933, 525, 267, 808, 6185, 269, 476, 1960, 274, 13756, 547, 1852, 24952, 538, 11125, 730, 3037, 267, 533, 269, 476, 4391, 280, 1700, 4343, 278, 269, 769, 281, 670, 269, 2274, 603, 543, 589, 269, 1325, 5336, 553, 7112, 630, 2644, 12175, 27870, 519, 7787, 946, 540, 1164, 24952, 27031, 2371, 269, 5292, 269, 476, 273, 269, 918, 1663, 4546, 14288, 23255, 267, 667, 867, 516, 19816, 267, 715, 299, 563, 1805, 10915, 601, 518, 267, 631, 269, 476, 1960, 272, 589, 5618, 7650, 540, 1585, 6806, 12555, 1949, 543, 824, 2409, 540, 4227, 13572, 20359, 689, 3039, 17346, 269, 16506, 27003, 22320, 619, 28743, 476, 2412, 263, 274, 994, 306, 738, 3570, 267, 715, 1421, 594, 330, 20364, 267, 570, 269, 1299, 898, 2129, 267, 681, 269, 476, 1960, 280, 6356, 540, 10878, 5141, 24952, 593, 15591, 543, 3819, 2339, 13250, 538, 3384, 7573, 9274, 808, 269, 30287, 269, 5890, 269, 15636, 269, 476, 5655, 476, 21076, 476, 13136, 454, 310, 718, 2658, 267, 654, 15030, 269, 1299, 18000, 10202, 267, 918, 14389, 269, 476, 1001, 273, 7186, 543, 6708, 540, 6694, 24952, 543, 7091, 30008, 269, 769, 281, 654, 15030, 269, 9931, 2658, 543, 918, 14389, 269, 18000, 10202, 630, 2644, 12175, 16581, 24952, 4879, 543, 2359, 269, 476, 273, 526, 1196, 269, 1977, 5980, 540, 6406, 19296, 267, 10163, 517, 267, 22622, 454, 310, 836, 267, 654, 1421, 15550, 9242, 267, 645, 269, 1299, 16816, 2006, 267, 589, 269, 476, 1220, 274, 7233, 3210, 547, 10980, 267, 24952, 543, 3665, 2837, 281, 27870, 4719, 4702, 585, 2566, 10892, 7233, 320, 476, 25908, 476, 272, 476, 1691, 454, 23219, 5270, 267, 715, 12282, 1421, 645, 7596, 518, 267, 808, 15030, 269, 1299, 21942, 267, 918, 9950, 269, 476, 1220, 273, 634, 9238, 540, 24952, 543, 7091, 30008, 2360, 593, 3037, 2168, 3601, 269, 4972, 540, 8092, 8249, 543, 7025, 7070, 267, 23497, 3557, 2160, 267, 4425, 345, 17507, 267, 24211, 454, 312, 601, 534, 747, 267, 631, 17679, 269, 1299, 2142, 597, 333, 29231, 267, 808, 6993, 269, 476, 1960, 275, 674, 23459, 6500, 5834, 543, 30450, 1860, 24277, 1700, 27848, 4088, 30450, 689, 1494, 1540, 1093, 1231, 9116, 807, 29088, 16631, 476, 3066, 476, 9262, 275, 476, 279, 4037, 454, 312, 4669, 572, 1597, 267, 661, 1421, 918, 525, 1889, 345, 267, 717, 6185, 269, 1299, 1133, 1663, 330, 4673, 267, 674, 6993, 269, 476, 1220, 276, 634, 2360, 540, 1216, 24952, 543, 11379, 2157, 593, 6556, 267, 4829, 2298, 543, 1216, 4616, 540, 513, 5065, 3844, 20133, 565, 1014, 16603, 2249, 630, 299, 344, 19817, 619, 6625, 1965, 1529, 550, 636, 264, 3397, 337, 269, 4826, 631, 25885, 269, 476, 4281, 476, 12553, 476, 13670, 0, 29820, 538, 12590, 547, 513, 1920, 540, 22278, 543, 9378, 523, 267, 1849, 1952, 14612, 547, 8303, 547, 14377, 519, 24180, 1603, 454, 763, 2278, 5956, 3848, 26577, 609, 513, 4901, 540, 1010, 2123, 12755, 267, 6995, 543, 10269, 269, 1261, 1287, 7140, 1010, 3007, 547, 519, 595, 12522, 19270, 1068, 543, 519, 9913, 693, 602, 28379, 269, 634, 2278, 568, 5483, 676, 1010, 15274, 267, 5631, 8293, 1571, 607, 547, 519, 3604, 1063, 1896, 540, 519, 2324, 2021, 538, 8303, 281, 519, 1696, 644, 5050, 324, 267, 519, 3185, 1889, 1435, 331, 1664, 267, 519, 1989, 529, 8291, 267, 543, 519, 561, 648, 12076, 269, 634, 2278, 11339, 827, 519, 2773, 693, 519, 595, 12522, 19270, 1068, 543, 519, 10009, 540, 2021, 543, 5810, 693, 519, 2680, 269, 1261, 19528, 623, 879, 341, 4958, 974, 543, 1065, 29251, 513, 4484, 689, 1200, 547, 513, 1715, 3840, 812, 9683, 8303, 945, 9415, 1200, 547, 1847, 547, 3013, 543, 3343, 1200, 6830, 17480, 607, 513, 6300, 326, 20071, 563, 763, 966, 5435, 693, 26172, 3530, 781, 454, 2767, 17341, 20000, 4639, 267, 21861, 548, 1335, 267, 13698, 476, 5197, 1428, 0, 763, 19773, 585, 24543, 568, 6926, 752, 267, 513, 10196, 6645, 631, 9222, 22176, 329, 663, 549, 589, 686, 5633, 538, 1010, 1007, 1433, 281, 968, 763, 4473, 540, 519, 1216, 786, 581, 678, 3578, 1652, 543, 2520, 10999, 6340, 267, 3728, 6100, 589, 686, 5633, 1131, 899, 972, 547, 581, 513, 811, 15028, 23567, 585, 1010, 554, 32528, 269, 6145, 1200, 29401, 20516, 267, 1352, 13922, 547, 8661, 1200, 476, 3199, 628, 14512, 538, 24543, 269, 2334, 786, 581, 538, 476, 18684, 278, 267, 950, 1034, 540, 519, 3148, 779, 9381, 1858, 267, 930, 476, 8517, 4009, 12919, 1753, 547, 476, 2568, 267, 1822, 1004, 267, 786, 2693, 581, 896, 1216, 8259, 27290, 3800, 616, 3144, 563, 11900, 697, 995, 543, 3638, 538, 1469, 267, 2598, 1842, 762, 4975, 630, 11514, 1842, 762, 4975, 264, 6645, 519, 1650, 540, 24543, 779, 15324, 3800, 538, 519, 3068, 540, 8375, 4262, 2157, 547, 581, 3812, 9108, 267, 609, 1880, 8561, 593, 519, 1761, 1514, 543, 2804, 1764, 269, 24543, 568, 711, 519, 1034, 7925, 23195, 1858, 538, 519, 2197, 538, 713, 2085, 540, 8375, 15798, 563, 4913, 267, 1352, 814, 2141, 1044, 513, 24401, 6150, 8004, 585, 519, 2923, 543, 621, 1869, 568, 950, 519, 9259, 1634, 607, 10424, 29500, 2490, 922, 10754, 883, 10469, 564, 1014, 23668, 1510, 519, 11509, 1143, 540, 24131, 269, 634, 6382, 24526, 543, 546, 9579, 1782, 2749, 2488, 5813, 883, 2916, 1689, 2152, 543, 519, 2591, 602, 9114, 6619, 563, 288, 686, 5633, 267, 513, 19784, 1603, 1010, 1101, 1433, 267, 5956, 676, 10503, 875, 11585, 13054, 606, 538, 525, 5115, 762, 4161, 585, 24543, 269, 634, 4434, 540, 519, 9533, 7909, 814, 519, 2749, 8970, 1229, 1996, 922, 6870, 1970, 1633, 19126, 267, 519, 17451, 6921, 3547, 269, 26681, 513, 15639, 568, 606, 4781, 6862, 513, 3774, 513, 3070, 269, 634, 1558, 24227, 568, 3262, 936, 513, 14680, 29415, 269, 589, 2481, 1223, 581, 3710, 547, 519, 6607, 543, 1869, 519, 8375, 7297, 1131, 3136, 547, 4473, 998, 519, 24338, 6367, 1564, 540, 519, 3148, 563, 300, 22585, 779, 1152, 11506, 1858, 267, 519, 9533, 26066, 23374, 267, 814, 1831, 29653, 8513, 269, 25214, 267, 519, 3043, 2551, 524, 913, 1540, 547, 2661, 676, 519, 1216, 543, 19774, 18441, 547, 4025, 899, 9741, 27425, 543, 23068, 4975, 269, 5637, 1016, 31755, 616, 593, 519, 23374, 543, 1631, 2309, 2065, 4683, 9367, 616, 26124, 741, 4064, 547, 4163, 856, 811, 7199, 8027, 3785, 602, 1131, 1232, 1493, 891, 15520, 7347, 11700, 2314, 563, 288, 686, 5633, 568, 693, 1010, 1034, 16367, 950, 646, 12909, 827, 20296, 8425, 30826, 630, 10767, 613, 11238, 20012, 610, 556, 31141, 264, 543, 2686, 11091, 267, 9444, 540, 799, 4991, 1454, 7156, 269, 1369, 519, 2994, 547, 4688, 519, 2749, 563, 1432, 544, 22585, 7125, 707, 968, 637, 559, 1466, 892, 3646, 616, 8101, 338, 4352, 13385, 269, 634, 2749, 568, 15268, 7088, 4248, 1949, 267, 9870, 9897, 267, 17923, 519, 32132, 267, 543, 16459, 21536, 613, 15450, 609, 17088, 9817, 630, 26171, 3327, 12520, 1562, 1916, 3719, 930, 2042, 979, 3564, 4702, 3435, 269, 9861, 2111, 547, 23574, 519, 16003, 1282, 513, 865, 2130, 10424, 20352, 4667, 899, 513, 19796, 1190, 5413, 269, 634, 3148, 568, 678, 1057, 609, 23170, 1949, 8697, 676, 8375, 15780, 267, 543, 519, 2804, 1942, 540, 7816, 568, 3564, 9345, 269, 14863, 12033, 616, 9395, 543, 519, 1297, 540, 2229, 8041, 543, 2027, 1719, 2516, 642, 3539, 585, 2724, 568, 1804, 269, 15531, 1455, 2666, 568, 1100, 4443, 982, 7863, 3819, 2244, 563, 5591, 1895, 568, 811, 3532, 982, 519, 1483, 10040, 5823, 269, 21452, 267, 8027, 4070, 814, 1044, 1630, 4040, 269, 589, 686, 5633, 10305, 713, 19433, 547, 513, 968, 18182, 540, 4686, 2724, 602, 6933, 919, 892, 689, 14104, 543, 5092, 13383, 267, 799, 936, 2987, 4148, 919, 3959, 2418, 267, 11479, 2476, 10097, 8027, 543, 12662, 2604, 593, 1102, 2858, 23461, 602, 616, 8405, 11546, 788, 269, 634, 12556, 540, 24543, 6927, 2370, 547, 9520, 267, 945, 2832, 547, 7485, 856, 950, 519, 942, 568, 1318, 543, 12434, 8445, 563, 763, 8297, 1441, 2679, 538, 24543, 269, 1234, 26407, 8666, 454, 11514, 1842, 762, 4975, 21269, 513, 5318, 8513, 267, 855, 3988, 616, 2693, 547, 4063, 519, 9000, 540, 16198, 547, 824, 7925, 4872, 269, 898, 568, 849, 2009, 602, 930, 6318, 707, 32071, 4900, 693, 519, 23349, 10678, 602, 589, 686, 5633, 25282, 585, 519, 1433, 269, 1809, 789, 786, 5660, 922, 2239, 3196, 543, 519, 2278, 779, 2702, 547, 1118, 513, 7294, 1641, 3015, 563, 4517, 1018, 827, 602, 14512, 538, 24543, 538, 476, 18684, 278, 286, 589, 686, 5633, 8098, 1080, 602, 1352, 7959, 968, 854, 8909, 1848, 589, 3659, 6645, 1864, 281, 968, 2791, 917, 972, 568, 1100, 2104, 1934, 267, 1318, 286, 6100, 901, 6422, 2749, 540, 2804, 543, 2797, 15076, 568, 2907, 6721, 930, 540, 519, 2197, 779, 1101, 2916, 15076, 269, 12846, 267, 589, 686, 5633, 3788, 29014, 827, 1346, 476, 3199, 22250, 563, 763, 1715, 3840, 8648, 454, 31568, 661, 269, 16026, 568, 519, 2278, 540, 968, 763, 13323, 281, 634, 10435, 540, 606, 1977, 7256, 892, 0, 8340, 634, 4518, 10261, 539, 1677, 27124, 634, 4826, 769, 589, 26653, 2334, 1772, 634, 23426, 2986, 1323, 772, 1186, 728, 454, 8340, 519, 960, 2877, 547, 6802, 519, 1216, 538, 513, 7382, 602, 568, 519, 3337, 540, 606, 26700, 16365, 13409, 609, 1283, 8953, 476, 1015, 7397, 543, 4463, 476, 277, 7397, 269, 1411, 949, 8263, 602, 476, 272, 12945, 11281, 540, 1216, 568, 13631, 547, 519, 3618, 609, 476, 280, 267, 8517, 1715, 27971, 540, 3196, 563, 22437, 5793, 19536, 281, 513, 3318, 1603, 3028, 602, 2488, 3312, 4574, 269, 3776, 2472, 1331, 4081, 4574, 540, 8795, 6988, 543, 824, 10531, 2533, 267, 2059, 609, 1382, 2326, 585, 6351, 5301, 1152, 269, 2353, 519, 2326, 689, 938, 3896, 1058, 581, 1031, 609, 1697, 8100, 269, 0, 268, 1548, 568, 513, 2552, 571, 653, 739, 334, 10460, 888, 268, 5808, 11827, 2552, 571, 653, 739, 334, 28866, 888, 268, 6904, 568, 519, 1655, 4214, 540, 2552, 571, 653, 739, 334, 888, 268, 6904, 17001, 568, 519, 1655, 1383, 540, 2552, 571, 653, 739, 334, 888, 268, 7316, 666, 596, 1265, 18466, 32109, 779, 17001, 540, 6424, 888, 268, 1548, 952, 4376, 568, 3020, 540, 782, 18810, 888, 268, 1548, 568, 10380, 1148, 28866, 888, 268, 1548, 568, 2552, 571, 653, 739, 334, 538, 6424, 676, 18466, 32109, 888, 268, 1215, 798, 596, 946, 2552, 571, 653, 739, 334, 538, 513, 4845, 888, 268, 1548, 568, 3330, 513, 5259, 11454, 888, 268, 1548, 1500, 23509, 14547, 888, 268, 6904, 616, 3344, 540, 2552, 571, 653, 739, 334, 28866, 888, 1432, 568, 513, 2552, 571, 653, 739, 334, 10460, 888, 6944, 571, 653, 739, 334, 267, 630, 2005, 6501, 281, 968, 641, 22683, 25257, 538, 519, 3308, 6575, 267, 513, 9380, 1116, 10325, 267, 12090, 676, 519, 3504, 16380, 267, 538, 799, 519, 7555, 1480, 4137, 568, 26405, 971, 602, 519, 2597, 26520, 593, 835, 1850, 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 ]
[ 0, 21547, 19172, 21643, 267, 607, 513, 15768, 851, 540, 9297, 267, 729, 17774, 3166, 1310, 519, 3703, 30168, 3627, 2904, 333, 731, 3223, 29498, 9783, 543, 3370, 1010, 1433, 634, 4937, 7869, 540, 25477, 267, 9314, 543, 14559, 538, 476, 4350, 277, 269, 634, 10841, 754, 656, 3206, 538, 9297, 1354, 3223, 29498, 729, 782, 519, 4600, 945, 616, 8348, 547, 960, 1131, 1265, 7694, 543, 782, 519, 2371, 630, 2399, 1559, 264, 786, 581, 8647, 693, 741, 3102, 4390, 269, 901, 1153, 540, 10206, 568, 1572, 607, 519, 8106, 2245, 563, 763, 4279, 12870, 540, 476, 4572, 280, 543, 519, 1739, 1296, 4718, 519, 6364, 543, 7694, 5232, 538, 519, 6082, 540, 3345, 3013, 543, 2342, 8519, 676, 5458, 5666, 269, 898, 6766, 824, 6082, 540, 519, 1158, 269, 24637, 585, 21113, 538, 519, 2344, 1747, 729, 1447, 267, 1082, 2371, 941, 14084, 7329, 548, 543, 538, 10869, 267, 2978, 537, 516, 3464, 941, 17991, 856, 540, 6009, 269, 3245, 476, 4572, 280, 547, 476, 4350, 274, 267, 538, 519, 2136, 2276, 540, 3013, 630, 24433, 264, 13864, 2557, 2799, 689, 476, 274, 2600, 547, 476, 1839, 2600, 269, 3683, 519, 1482, 942, 267, 519, 3328, 1267, 538, 519, 7330, 8519, 676, 476, 3451, 2600, 269, 1452, 20825, 24016, 24192, 1589, 827, 519, 5665, 540, 519, 4346, 538, 513, 30497, 1259, 269, 634, 22979, 602, 519, 4346, 949, 723, 1279, 18835, 13864, 1185, 547, 581, 1179, 4327, 827, 543, 19286, 730, 269, 9521, 6206, 928, 779, 2062, 14725, 2996, 267, 1010, 1935, 729, 547, 29506, 1125, 519, 2324, 540, 519, 4346, 538, 922, 14919, 543, 4983, 519, 954, 28947, 540, 519, 3982, 9922, 269, 9747, 267, 519, 1641, 540, 12550, 31754, 729, 4535, 563, 763, 1657, 5018, 616, 513, 1906, 2035, 602, 616, 6045, 538, 1469, 585, 519, 1362, 476, 1321, 9622, 10885, 5843, 31754, 269, 1677, 917, 811, 267, 3251, 22934, 547, 15760, 297, 308, 24912, 269, 0, 1607, 1957, 6799, 519, 2164, 540, 1382, 5059, 593, 519, 8456, 540, 1153, 326, 597, 3149, 693, 519, 476, 276, 628, 543, 476, 280, 628, 3446, 540, 3119, 3506, 2509, 2168, 543, 7328, 2069, 269, 634, 2832, 540, 713, 1788, 729, 547, 1265, 856, 519, 1377, 540, 519, 8456, 540, 1153, 326, 597, 3149, 693, 3119, 3506, 538, 519, 5696, 15384, 331, 6072, 16323, 269, 634, 1382, 3732, 15538, 540, 476, 26316, 1153, 326, 597, 3149, 11504, 4683, 543, 8498, 3119, 3506, 269, 634, 2596, 1382, 1907, 649, 723, 1031, 729, 519, 13387, 1140, 15994, 18102, 2966, 585, 519, 3119, 3506, 10453, 269, 1284, 723, 1336, 856, 602, 538, 519, 476, 276, 628, 543, 476, 280, 628, 3446, 540, 3119, 3506, 519, 2318, 8456, 4724, 2168, 543, 7328, 2069, 7173, 841, 936, 519, 967, 27075, 8456, 269, 2311, 3119, 3506, 538, 519, 5696, 15384, 331, 6072, 16323, 267, 519, 1153, 326, 597, 3149, 538, 519, 476, 276, 628, 3446, 4951, 811, 2318, 8456, 982, 1153, 326, 597, 3149, 538, 519, 476, 280, 628, 3446, 563, 1607, 9295, 9388, 609, 519, 3656, 3344, 543, 6411, 540, 5208, 1996, 513, 1895, 540, 2021, 538, 7328, 269, 9181, 687, 827, 5208, 538, 2486, 543, 3976, 593, 5208, 538, 7328, 616, 1419, 2404, 609, 1004, 781, 4555, 827, 519, 5837, 1533, 540, 2486, 607, 513, 2898, 269, 20222, 1996, 2021, 568, 835, 540, 519, 1034, 7839, 19374, 540, 1480, 15683, 269, 898, 4564, 513, 18670, 540, 1480, 2924, 267, 12077, 519, 1318, 547, 1272, 267, 519, 1318, 547, 3106, 267, 519, 1318, 547, 15683, 267, 519, 1318, 547, 2168, 543, 2790, 8699, 269, 898, 568, 14909, 547, 6318, 4656, 827, 519, 6604, 540, 4638, 5208, 693, 782, 2157, 269, 1284, 723, 547, 1445, 593, 15324, 15416, 547, 1489, 3785, 547, 4339, 5208, 543, 22166, 538, 7328, 267, 547, 1020, 9479, 540, 2932, 602, 3313, 519, 2078, 1063, 9845, 267, 1894, 1063, 2367, 543, 2021, 267, 607, 1134, 607, 1894, 1063, 19393, 543, 8387, 267, 1894, 1063, 3237, 543, 19393, 269, 634, 30355, 752, 6243, 568, 1152, 693, 519, 4098, 540, 519, 1259, 540, 2870, 519, 2078, 1063, 1876, 543, 7328, 269, 4475, 267, 621, 568, 2556, 547, 2333, 519, 3656, 4656, 540, 7328, 607, 513, 1907, 585, 7939, 538, 7328, 2238, 563, 19617, 2730, 4081, 543, 19995, 1382, 814, 8947, 519, 1909, 540, 14451, 4065, 30543, 630, 4047, 296, 264, 538, 519, 1646, 540, 7328, 19393, 538, 519, 5177, 630, 324, 3052, 269, 17786, 335, 476, 1001, 279, 282, 853, 657, 345, 330, 22603, 543, 19811, 476, 1001, 279, 1040, 1717, 267, 15029, 1034, 4610, 1644, 547, 16455, 1646, 723, 1713, 4703, 540, 960, 30343, 873, 267, 972, 568, 513, 632, 14390, 540, 1344, 1644, 547, 1655, 2259, 1369, 519, 2796, 540, 9659, 7328, 18006, 269, 9717, 602, 1312, 16455, 1565, 538, 519, 16777, 296, 2796, 543, 9659, 5026, 18006, 616, 1713, 2127, 17709, 540, 2417, 3408, 267, 713, 960, 27180, 875, 1565, 666, 581, 2919, 998, 9659, 7328, 18006, 538, 519, 16777, 296, 2796, 269, 634, 6663, 540, 713, 1353, 941, 547, 5531, 519, 11994, 267, 4555, 267, 543, 2833, 540, 4557, 2875, 18396, 2851, 19801, 593, 606, 16777, 296, 18006, 10872, 945, 941, 11264, 513, 1032, 1279, 13307, 9074, 602, 3769, 7886, 585, 5171, 609, 9124, 269, 4578, 941, 6394, 998, 1079, 1445, 1895, 11401, 609, 519, 2875, 18396, 2851, 543, 519, 19169, 540, 1565, 13746, 269, 1473, 10631, 633, 2079, 4951, 602, 18006, 9659, 2516, 19658, 1565, 998, 10451, 1702, 689, 2259, 998, 513, 1184, 540, 8086, 267, 2362, 1931, 3206, 267, 543, 13849, 2275, 10744, 269, 901, 5267, 602, 1210, 9659, 18006, 666, 581, 513, 3730, 1907, 585, 16777, 3674, 547, 946, 538, 2474, 540, 4101, 2875, 18396, 778, 2259, 543, 2069, 563, 12336, 19487, 717, 5451, 321, 686, 20795, 267, 9410, 918, 19390, 333, 758, 267, 25795, 17505, 966, 6387, 6390, 543, 30912, 28763, 5451, 339, 454, 763, 2832, 540, 713, 1353, 729, 547, 2708, 3350, 3270, 676, 1210, 23398, 11873, 24897, 538, 1614, 6688, 540, 30355, 752, 2021, 779, 3084, 11176, 6887, 1282, 1079, 14026, 11410, 5962, 609, 835, 1032, 269, 634, 2601, 585, 713, 729, 547, 2626, 519, 2055, 281, 476, 272, 269, 952, 972, 568, 513, 12402, 547, 1685, 1732, 538, 519, 5496, 609, 2463, 547, 2085, 7121, 267, 543, 476, 273, 269, 952, 519, 5716, 945, 1705, 519, 5496, 811, 2053, 543, 973, 10079, 7840, 267, 1685, 1732, 1310, 513, 1032, 267, 28000, 547, 2085, 7121, 269, 3776, 2164, 4951, 602, 1169, 7121, 6913, 1713, 9283, 630, 335, 283, 271, 269, 1015, 264, 538, 2698, 1449, 6060, 950, 3379, 519, 1079, 14026, 630, 1001, 274, 5288, 269, 476, 1001, 275, 1070, 4849, 654, 308, 1704, 267, 1141, 1713, 3526, 618, 729, 1336, 630, 335, 283, 271, 269, 4905, 1040, 1452, 2164, 4440, 2099, 519, 1249, 267, 602, 519, 654, 308, 1704, 568, 519, 1447, 4810, 7121, 3823, 674, 5960, 12814, 267, 543, 519, 1895, 1141, 519, 1034, 31285, 4386, 538, 519, 9930, 1588, 1592, 269, 1717, 267, 950, 649, 12290, 519, 1895, 540, 5716, 945, 941, 1459, 693, 1312, 14026, 540, 9584, 267, 22023, 1051, 1947, 547, 2085, 1895, 789, 4866, 267, 2164, 7000, 1713, 2949, 9283, 630, 335, 283, 271, 269, 4962, 1040, 769, 3932, 267, 649, 1131, 2303, 674, 5960, 12814, 607, 513, 3730, 1907, 547, 7866, 5732, 4617, 6402, 538, 6345, 781, 3350, 543, 4061, 3313, 5945, 1981, 269, 3776, 2164, 2303, 602, 3318, 7840, 547, 4894, 891, 616, 2500, 543, 693, 2547, 607, 1454, 1271, 607, 519, 9584, 8464, 4805, 563, 763, 2832, 540, 519, 1353, 729, 547, 5635, 519, 9547, 609, 2298, 540, 1272, 10832, 630, 304, 334, 299, 296, 264, 543, 2298, 540, 1272, 11890, 630, 304, 334, 17162, 264, 8464, 1063, 1004, 609, 2168, 9124, 630, 303, 11520, 264, 543, 1004, 945, 616, 18555, 610, 2182, 540, 6217, 630, 11520, 26260, 295, 264, 689, 7328, 7589, 1448, 540, 2070, 269, 634, 1353, 3769, 476, 25628, 2043, 609, 623, 11520, 630, 333, 815, 476, 5611, 282, 5256, 815, 476, 10602, 264, 543, 19113, 26260, 295, 630, 333, 815, 476, 13679, 282, 5256, 815, 476, 5952, 264, 5258, 883, 1079, 2516, 540, 1346, 945, 616, 5781, 10283, 538, 7328, 543, 1346, 945, 616, 711, 10283, 538, 1022, 7328, 2534, 538, 741, 16837, 269, 634, 2034, 851, 540, 519, 4427, 11187, 10866, 540, 5020, 5811, 630, 306, 269, 12702, 288, 11482, 6993, 4700, 729, 1031, 269, 634, 21942, 16584, 30026, 1449, 729, 1031, 547, 3313, 519, 3604, 538, 476, 2537, 1627, 334, 299, 296, 543, 476, 276, 1627, 334, 17162, 1063, 623, 11520, 543, 19113, 26260, 295, 689, 7328, 7589, 1448, 540, 2070, 543, 2875, 779, 1079, 1606, 2217, 512, 23150, 729, 1031, 547, 5635, 2949, 2298, 540, 1272, 630, 304, 334, 299, 1040, 1284, 1336, 602, 19113, 26260, 295, 945, 616, 10283, 5781, 538, 7328, 4843, 3648, 2362, 9547, 609, 476, 278, 11117, 1627, 334, 299, 296, 543, 609, 782, 476, 276, 1627, 334, 17162, 269, 15788, 1627, 334, 299, 6060, 729, 3648, 2362, 630, 335, 2999, 1547, 4905, 264, 538, 19113, 26260, 295, 269, 769, 519, 1895, 540, 1004, 945, 616, 711, 10283, 538, 7328, 649, 1336, 3648, 2362, 9547, 609, 476, 1724, 1627, 334, 299, 296, 538, 19113, 26260, 295, 543, 609, 476, 279, 1627, 334, 299, 296, 538, 623, 11520, 269, 9045, 529, 8351, 609, 476, 275, 1627, 334, 17162, 729, 3648, 2362, 538, 19113, 26260, 295, 543, 1152, 609, 6389, 630, 874, 9713, 1072, 264, 941, 3648, 2362, 13854, 623, 11520, 630, 335, 2999, 1547, 4905, 1040, 15788, 1627, 334, 299, 6060, 1705, 711, 1397, 1713, 3604, 1063, 2516, 540, 1004, 609, 9124, 945, 616, 711, 10283, 538, 1022, 7328, 269, 634, 2164, 540, 938, 1353, 9672, 602, 19113, 26260, 295, 723, 3648, 2362, 1627, 334, 299, 9236, 623, 11520, 1100, 2339, 952, 789, 10283, 538, 7328, 610, 711, 269, 901, 6268, 6027, 676, 590, 269, 12702, 288, 11482, 6993, 2982, 602, 621, 568, 513, 5078, 1907, 547, 1028, 525, 1627, 334, 299, 538, 1004, 609, 1114, 5686, 540, 9124, 563, 1103, 476, 1220, 272, 27988, 1014, 6554, 531, 2813, 22505, 4400, 3427, 630, 295, 6347, 1040, 4706, 1292, 5692, 568, 2069, 267, 2866, 543, 1646, 540, 1762, 15421, 676, 3246, 782, 519, 2175, 547, 4196, 741, 2635, 5026, 2619, 269, 17616, 267, 676, 14556, 4328, 741, 3232, 5026, 607, 1153, 2861, 1072, 2069, 1982, 2966, 547, 2087, 741, 2168, 4567, 12211, 547, 741, 2635, 6197, 269, 2598, 743, 2216, 676, 6268, 1907, 1374, 547, 3713, 741, 2168, 5759, 607, 1134, 607, 741, 19976, 1246, 902, 269, 13242, 538, 1459, 607, 6268, 4336, 547, 8524, 791, 337, 28619, 1644, 547, 519, 6859, 540, 27988, 1014, 1857, 3506, 630, 295, 5183, 1040, 1280, 3981, 532, 713, 13354, 1353, 1449, 476, 272, 476, 1822, 4400, 3427, 2875, 267, 476, 8517, 8695, 543, 476, 1220, 6690, 585, 4081, 1296, 476, 1001, 278, 1107, 476, 1001, 279, 269, 634, 6268, 5059, 593, 7893, 10236, 6248, 6724, 910, 2085, 267, 2597, 267, 4463, 543, 19483, 607, 1134, 607, 2168, 7907, 910, 3432, 630, 1789, 544, 1070, 519, 23292, 3196, 7299, 630, 309, 297, 1070, 23292, 3196, 540, 519, 7916, 630, 25924, 3440, 12235, 476, 274, 4846, 630, 11586, 1070, 8112, 17657, 630, 10499, 24270, 16608, 14159, 6091, 630, 10946, 3065, 540, 2999, 275, 1694, 13522, 3436, 538, 835, 8792, 630, 292, 4456, 264, 543, 20659, 16608, 630, 736, 332, 29060, 1449, 630, 309, 302, 273, 10946, 26895, 2552, 9776, 676, 12773, 10253, 3812, 676, 594, 320, 7865, 1234, 345, 537, 326, 269, 9122, 593, 519, 4336, 3177, 676, 713, 8545, 267, 938, 2164, 605, 8010, 338, 519, 31633, 540, 5380, 8045, 538, 27988, 1014, 22505, 4400, 3427, 607, 1153, 2861, 2168, 1072, 2069, 1982, 2966, 547, 2569, 519, 4539, 540, 14968, 593, 1072, 5829, 547, 2168, 2773, 269, 6480, 13846, 676, 12773, 10253, 3812, 676, 594, 320, 7865, 1234, 345, 537, 326, 267, 799, 1223, 4196, 607, 513, 2203, 6538, 17975, 519, 1764, 540, 519, 1079, 27988, 1014, 3872, 1949, 267, 607, 606, 1935, 11021, 513, 2312, 4287, 585, 519, 1646, 540, 7850, 3292, 585, 519, 3677, 5095, 540, 27988, 1014, 5640, 563, 269, 645, 21715, 383, 491, 298, 10976, 383, 479, 267, 661, 1421, 476, 1001, 277, 320, 269, 15448, 538, 519, 14302, 540, 1053, 1813, 547, 3937, 8584, 3660, 3635, 3292, 602, 616, 4294, 538, 2168, 543, 7328, 2069, 269, 769, 281, 4750, 540, 8447, 4065 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 707, 948, 538, 3384, 606, 5690, 602, 17016, 519, 5934, 2179, 540, 20637, 2877, 547, 5555, 6952, 519, 3003, 14228, 269, 1677, 798, 865, 267, 646, 814, 3407, 1344, 585, 596, 269, 2991, 9118, 3108, 540, 7421, 1142, 1367, 4009, 540, 519, 2749, 267, 789, 723, 23125, 856, 602, 519, 14228, 814, 513, 6378, 4287, 547, 979, 1310, 585, 1142, 4009, 780, 2162, 7151, 1384, 763, 5119, 1657, 568, 606, 1383, 540, 519, 1344, 2016, 547, 596, 267, 621, 1797, 602, 585, 4009, 2715, 271, 267, 271, 348, 621, 568, 16798, 602, 952, 513, 7803, 3338, 593, 602, 4009, 267, 646, 568, 2469, 547, 2212, 547, 519, 3162, 267, 4009, 2715, 272, 267, 271, 348, 1985, 780, 1892, 590, 815, 3162, 692, 1892, 715, 815, 3345, 692, 1892, 661, 815, 5101, 692, 1892, 654, 815, 4639, 692, 2005, 781, 16798, 602, 519, 1344, 786, 2141, 581, 4570, 267, 596, 666, 581, 1978, 602, 1100, 4009, 568, 2469, 547, 1448, 3544, 519, 2749, 780, 2690, 519, 7151, 3254, 1657, 519, 2626, 1058, 581, 476, 275, 780, 6781, 913, 568, 835, 2953, 11768, 585, 519, 20637, 267, 594, 5000, 596, 547, 27642, 972, 568, 513, 7803, 538, 1142, 1591, 543, 1246, 519, 834, 12949, 257, 585, 1142, 835, 538, 1931, 547, 14650, 875, 789, 5555, 1439, 909, 538, 835, 540, 519, 20637, 269, 1703, 616, 1896, 2953, 29282, 585, 713, 1383, 267, 2705, 267, 519, 5934, 2179, 2877, 568, 476, 275, 269, 5457, 602, 596, 1810, 1405, 991, 547, 3977, 519, 12122, 540, 519, 20637, 267, 1175, 519, 5934, 2179, 780, 2162, 8827, 16505, 6658, 692, 1607, 1966, 5654, 1360, 25254, 543, 1175, 676, 3168, 693, 519, 1966, 596, 1522, 1589, 602, 519, 3070, 568, 1360, 1950, 269, 1717, 267, 602, 568, 711, 519, 2013, 267, 519, 1883, 547, 6061, 713, 1966, 568, 547, 1413, 693, 519, 1383, 4786, 607, 606, 8763, 3113, 1101, 780, 5629, 596, 10544, 513, 4062, 540, 1957, 543, 2721, 519, 8763, 3113, 585, 519, 3177, 1383, 596, 666, 5693, 1294, 875, 649, 723, 513, 9859, 3113, 543, 519, 2626, 568, 3274, 519, 2179, 540, 9244, 4448, 3334, 267, 610, 834, 529, 4133, 257, 538, 519, 3113, 269, 4595, 649, 723, 2009, 9979, 649, 723, 547, 946, 20579, 13568, 781, 5690, 780, 2162, 8943, 23840, 692, 18606, 2260, 20223, 14249, 547, 4558, 519, 2749, 7470, 543, 10272, 4567, 540, 1142, 4009, 454, 10420, 4786, 314, 1911, 276, 6012, 1911, 276, 22049, 476, 12262, 853, 2803, 519, 4287, 538, 799, 519, 14228, 786, 1847, 689, 1142, 4009, 454, 842, 642, 314, 1911, 276, 6012, 1911, 276, 22049, 672, 12262, 6250, 1243, 4567, 281, 476, 271, 630, 2254, 10272, 1070, 476, 272, 630, 6665, 1243, 1070, 476, 273, 630, 2685, 9268, 994, 842, 759, 815, 476, 271, 282, 476, 12262, 28088, 4756, 547, 4558, 519, 2698, 1297, 540, 20637, 2838, 692, 2260, 20579, 13568, 781, 5690, 1599, 547, 1184, 1142, 4009, 538, 513, 3178, 23867, 6073, 454, 341, 1355, 13545, 13568, 17301, 1775, 267, 703, 795, 264, 19127, 341, 5157, 6012, 329, 316, 815, 476, 272, 282, 476, 12262, 4460, 532, 519, 1699, 4009, 607, 10272, 454, 2260, 10318, 1456, 519, 10974, 540, 519, 11105, 4009, 1759, 593, 519, 4287, 454, 2260, 1403, 519, 11105, 4009, 568, 10272, 855, 711, 9268, 267, 27261, 519, 15972, 1293, 454, 2260, 1403, 519, 11105, 4009, 568, 796, 6665, 1243, 267, 16571, 1947, 4019, 20579, 13568, 781, 5690, 454, 341, 5157, 6012, 329, 316, 815, 476, 273, 282, 476, 12262, 4460, 532, 519, 1699, 4009, 607, 4628, 9268, 454, 10926, 2260, 6301, 1599, 454, 842, 1292, 3890, 19127, 842, 562, 267, 544, 282, 476, 12262, 25159, 547, 3180, 519, 7516, 540, 519, 2749, 7470, 454, 11142, 23645, 562, 23645, 544, 282, 476, 12262, 7335, 519, 7516, 689, 519, 3403, 454, 2260, 7335, 519, 2749, 7470, 689, 519, 3403, 454, 1721, 17301, 1775, 284, 271, 282, 1775, 283, 333, 282, 1775, 10030, 994, 1721, 17301, 795, 284, 271, 282, 795, 283, 332, 282, 795, 10030, 994, 11142, 23645, 4786, 5157, 6012, 329, 30092, 2260, 14409, 1142, 4009, 538, 519, 2749, 7470, 454, 1721, 17301, 1775, 284, 271, 282, 1775, 283, 333, 282, 1775, 10030, 264, 19127, 1721, 17301, 795, 284, 271, 282, 795, 283, 332, 282, 795, 10030, 264, 19127, 2260, 1403, 519, 4009, 568, 796, 6665, 1243, 267, 4019, 20579, 13568, 781, 5690, 454, 604, 17635, 5157, 6012, 329, 316, 2652, 476, 271, 264, 30198, 13568, 9217, 267, 795, 11850, 8679, 8679, 322, 719, 24177, 759, 282, 476, 12262, 19243, 1154, 519, 2698, 1297, 540, 20637, 2838, 454, 8873, 476, 271, 282, 476, 12262, 4825, 9506, 476, 271, 547, 5815, 3811, 11056, 454, 8679, 32526, 2162, 5384, 543, 6611, 29203, 692, 11742, 29203, 1384, 272, 269, 25373, 7335, 281, 7335, 519, 7470, 814, 513, 942, 6988, 540, 630, 302, 18217, 2608, 631, 24270, 1141, 630, 301, 264, 568, 519, 1297, 540, 9343, 543, 630, 300, 264, 568, 519, 1297, 540, 9587, 780, 273, 269, 20579, 13568, 781, 23990, 281, 20579, 13568, 781, 5690, 1934, 3157, 1142, 4009, 538, 519, 7470, 4010, 2899, 269, 13018, 267, 1142, 4009, 568, 6825, 10272, 2899, 543, 4628, 9268, 2899, 269, 634, 25276, 3178, 23867, 2470, 540, 519, 5690, 5849, 602, 1100, 4009, 568, 10272, 811, 982, 2899, 269, 901, 2164, 538, 513, 942, 6988, 540, 630, 302, 18217, 2608, 631, 4297, 585, 519, 21986, 531, 780, 8256, 18790, 1312, 519, 7470, 2542, 543, 20579, 13568, 781, 5690, 267, 519, 2949, 942, 6988, 3788, 630, 302, 18217, 2608, 631, 4297, 780, 22129, 29203, 1384, 272, 269, 4786, 26275, 281, 634, 2230, 1031, 547, 4558, 519, 4287, 538, 1142, 7470, 4009, 568, 630, 302, 18217, 2608, 631, 4297, 780, 273, 269, 642, 26275, 281, 634, 2230, 1031, 547, 1832, 3950, 540, 519, 10272, 4567, 585, 1142, 7470, 4009, 568, 849, 630, 302, 18217, 2608, 631, 4297, 780, 274, 269, 1234, 15479, 633, 29571, 281, 769, 519, 10782, 2013, 267, 519, 3178, 540, 519, 25276, 7125, 585, 519, 2387, 30198, 13568, 319, 1599, 666, 581, 630, 302, 18217, 2608, 631, 4297, 952, 782, 10945, 616, 4448, 538, 513, 5276, 5311, 269, 901, 568, 4686, 267, 855, 585, 6988, 2079, 267, 649, 2015, 10782, 30924, 7653, 780, 29002, 909, 782, 519, 1657, 267, 519, 2698, 2230, 6988, 568, 630, 302, 18217, 2608, 631, 264, 1341, 744, 18217, 2608, 631, 264, 1341, 744, 18217, 2608, 631, 4297, 799, 29776, 547, 630, 302, 18217, 2608, 631, 4297, 780, 1103, 3932, 267, 1312, 519, 942, 543, 2230, 10848, 540, 519, 3177, 3009, 616, 630, 302, 18217, 265, 300, 4297, 780, 1012, 674, 5435, 344, 4427, 3118, 1684, 832, 9046, 692, 300, 1410, 545, 657, 4975, 1558, 549, 568, 835, 540, 519, 4102, 538, 519, 1158, 267, 19890, 267, 519, 530, 6782, 602, 596, 1175, 4604, 539, 814, 513, 25768, 7450, 1062, 269, 634, 530, 6782, 814, 623, 9885, 22921, 689, 476, 272, 547, 623, 267, 543, 667, 540, 1346, 9885, 616, 25768, 269, 3962, 540, 519, 25768, 9885, 568, 5532, 547, 513, 9138, 1895, 540, 9885, 799, 621, 5540, 269, 1879, 596, 2119, 547, 2673, 513, 25768, 7450, 267, 519, 1895, 585, 602, 25768, 7450, 10741, 630, 10472, 1895, 666, 1256, 2270, 519, 7450, 602, 596, 1175, 6836, 547, 2673, 1040, 2986, 1576, 267, 3339, 9885, 2673, 1510, 7133, 4376, 780, 2791, 616, 2016, 1627, 14511, 267, 1142, 13214, 568, 2469, 547, 14574, 799, 9885, 616, 7620, 1930, 543, 596, 1590, 3977, 2436, 610, 711, 621, 781, 2009, 547, 2673, 782, 9885, 609, 834, 312, 2464, 257, 610, 834, 17472, 6231, 2162, 7151, 692, 1721, 519, 1739, 3403, 1384, 18606, 274, 476, 273, 476, 273, 12262, 623, 267, 667, 267, 1627, 630, 26920, 540, 9885, 267, 2179, 540, 25768, 9885, 267, 2179, 540, 14511, 994, 273, 476, 272, 476, 272, 12262, 7450, 476, 273, 10741, 476, 272, 7450, 267, 7450, 476, 272, 454, 272, 476, 272, 476, 273, 12262, 7450, 476, 272, 10741, 476, 272, 7450, 267, 7450, 476, 273, 454, 272, 476, 274, 12262, 13214, 267, 476, 272, 7450, 1930, 267, 7450, 476, 274, 454, 273, 476, 272, 476, 273, 12262, 13214, 267, 476, 273, 1930, 9885, 476, 272, 543, 476, 273, 454, 32526, 763, 3977, 1058, 581, 1384, 18606, 312, 2464, 454, 17472, 454, 32526, 1103, 519, 1383, 649, 723, 623, 284, 274, 630, 11004, 616, 476, 274, 9885, 1070, 667, 284, 273, 630, 273, 9885, 616, 26843, 1070, 543, 1627, 284, 273, 630, 9767, 786, 581, 4280, 476, 273, 2055, 1040, 1879, 596, 2673, 7450, 476, 273, 267, 513, 7450, 786, 1930, 267, 799, 568, 1297, 476, 272, 269, 1879, 596, 2673, 7450, 476, 272, 267, 513, 7450, 786, 1930, 267, 799, 568, 1297, 476, 273, 269, 769, 519, 1101, 2243, 267, 7450, 476, 274, 568, 1930, 543, 519, 1866, 616, 6806, 269, 4475, 267, 596, 1152, 723, 547, 2673, 7450, 476, 274, 267, 2094, 713, 835, 568, 711, 26843, 267, 1100, 824, 9885, 786, 1930, 543, 782, 9885, 666, 2611, 6806, 630, 1492, 2626, 547, 602, 2243, 568, 962, 2464, 1040, 769, 519, 2034, 2243, 267, 9885, 476, 272, 543, 476, 273, 616, 1930, 543, 621, 568, 711, 2009, 547, 2673, 835, 1510, 6679, 519, 824, 630, 1492, 2626, 547, 602, 2243, 568, 12971, 6393, 2162, 7799, 1080, 692, 1892, 476, 272, 10922, 623, 10922, 1911, 1822, 692, 1892, 634, 2040, 540, 782, 4144, 786, 711, 581, 3152, 982, 476, 1911, 1822, 271, 780, 1892, 634, 2040, 540, 782, 1627, 328, 786, 711, 581, 3152, 982, 476, 1911, 1822, 271, 780, 1892, 634, 12039, 540, 519, 9885, 786, 2141, 581, 1063, 476, 272, 543, 623, 8537, 780, 2162, 8827, 16505, 6658, 692, 5629, 1586, 649, 666, 1294, 513, 1390, 1383, 540, 513, 3833, 25254, 1966, 267, 2705, 267, 513, 1390, 1883, 1448, 547, 2446, 568, 519, 1249, 602, 596, 616, 711, 4280, 585, 519, 5934, 2179, 540, 3527, 630, 743, 3151, 9885, 1070, 610, 547, 30712, 519, 834, 12949, 257, 540, 3527, 596, 1185, 547, 798, 538, 1931, 547, 2673, 782, 9885, 267, 3079, 267, 596, 616, 1152, 4280, 952, 621, 781, 2009, 547, 2673, 873, 782, 2016, 606, 3355, 12122, 780, 3528, 11287, 543, 3206, 827, 519, 1966, 267, 596, 666, 8275, 602, 1100, 2339, 875, 1082, 25768, 9885, 1930, 6198, 3283, 267, 621, 786, 2141, 581, 2009, 547, 2673, 782, 6198, 9885, 693, 519, 1439, 269, 5221, 540, 713, 267, 596, 1152, 723, 547, 1413, 693, 25768, 9885, 780, 293, 5435, 344, 9885, 666, 2141, 581, 6806, 607, 1279, 607, 596, 1810, 1405, 4283, 513, 4783, 269, 585, 7151, 1384, 8450, 875, 538, 1383, 476, 272, 596, 666, 5555, 2673, 519, 1930, 7450, 476, 276, 267, 2705, 267, 538, 1383, 476, 273, 5555, 596, 2887, 883, 513, 4783, 1310, 3843, 547, 2673, 7450, 476, 276, 1818, 621, 7543, 547, 2673, 782, 9885, 269, 7151, 476, 274, 1281, 711, 2270, 1022, 7620, 1930, 9885, 267, 594, 3773, 519, 2013, 547, 11168, 602, 519, 9979, 616, 711, 513, 1966, 607, 1279, 607, 1100, 1930, 9885, 1291, 547, 835, 780, 5475, 7421, 713, 267, 649, 666, 556, 874, 19189, 519, 1966, 607, 1384, 11693, 513, 6034, 539, 8641, 267, 3977, 834, 17472, 257, 952, 606, 1930, 7450, 6843, 5012, 547, 513, 4783, 269, 3116, 3977, 834, 312, 2464, 6231, 3412, 9712, 2299, 649, 1590, 1589, 540, 20579, 13568, 781, 5690, 269, 3733, 1101, 3070, 3238, 11488, 20579, 13568, 781, 5690, 689, 1142, 1930, 6843, 540, 1142, 13214, 267, 2705, 267, 2016, 602, 519, 2179, 540, 14511, 568, 1360, 1804, 267, 713, 3070, 786, 2285, 721, 513, 570, 4041, 630, 11742, 23423, 1401, 1027, 539, 264, 2357, 18743, 780, 2171, 666, 11126, 519, 3070, 676, 4881, 20579, 13568, 781, 5690, 1152, 2899, 543, 538, 519, 2013, 513, 4783, 568, 1336, 649, 666, 1665, 782, 519, 9136, 602, 6603, 602, 4783, 607, 834, 548, 6758, 547, 4783, 2668, 634, 1259, 649, 798, 713, 568, 676, 2348, 513, 1166, 5792, 3113, 899, 713, 1384, 2171, 6494, 513, 2241, 667, 12396, 5690, 689, 519, 6843, 538, 799, 519, 4783, 729, 1336, 267, 16287, 782, 10272, 9136, 676, 519, 667, 12396, 607, 9136, 602, 1291, 547, 513, 4783, 538, 513, 6152, 269, 901, 2636, 721, 547, 2626, 14511, 1360, 3274, 676, 12055, 908, 998, 519, 1930, 9136, 543, 6998, 538, 3586, 942, 744, 263, 272, 264, 952, 789, 1291, 547, 513, 4783, 780, 2162, 8943, 23840, 692, 18606, 258, 514, 2850, 283, 23605, 23995 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2470, 269, 1280, 1383, 267, 8378, 1514, 771, 32360, 568, 513, 1875, 1765, 531, 4022, 10391, 543, 1875, 325, 7056, 658, 3815, 602, 814, 1044, 3254, 547, 1860, 1981, 1646, 538, 18273, 543, 538, 2663, 15296, 11370, 340, 1696, 620, 563, 1103, 2487, 1296, 267, 11095, 2618, 13771, 5505, 723, 6700, 602, 513, 22107, 1228, 2203, 540, 1981, 13250, 949, 1655, 21656, 875, 713, 3818, 13109, 540, 1981, 2188, 10953, 631, 770, 523, 1696, 620, 269, 4935, 267, 4598, 547, 513, 2016, 1981, 3815, 693, 835, 942, 1974, 666, 1711, 11506, 1981, 267, 6466, 4598, 547, 519, 1482, 3815, 693, 1776, 942, 949, 723, 2370, 1764, 269, 5015, 267, 1142, 1900, 538, 519, 22107, 1228, 540, 1981, 4679, 519, 16762, 1871, 540, 519, 18631, 1900, 267, 543, 3001, 856, 540, 519, 22107, 1228, 13604, 11081, 1991, 1981, 563, 288, 2487, 22107, 1228, 2079, 676, 667, 17690, 543, 9164, 6257, 519, 16799, 540, 5722, 1114, 1981, 11890, 5473, 519, 1126, 267, 3237, 267, 543, 9905, 267, 538, 513, 6223, 1308, 1184, 936, 519, 1576, 540, 6689, 602, 19411, 919, 538, 6219, 946, 12614, 269, 634, 2079, 8612, 602, 711, 1152, 1981, 13250, 693, 1142, 1007, 1900, 540, 519, 22107, 1228, 568, 1271, 855, 3255, 585, 1981, 15558, 849, 616, 2565, 1317, 789, 2303, 6405, 267, 5123, 10391, 2081, 538, 799, 6304, 3292, 1522, 14443, 1018, 6382, 1131, 581, 513, 5311, 540, 1981, 14984, 2747, 610, 15038, 563, 288, 18596, 6249, 540, 713, 2376, 568, 602, 18273, 568, 513, 942, 540, 2810, 4568, 4616, 543, 602, 4616, 3335, 19589, 1282, 519, 3735, 15730, 547, 2038, 2937, 1296, 269, 901, 4616, 4806, 543, 519, 2042, 2404, 609, 7050, 4568, 946, 4805, 1131, 1665, 713, 11095, 3942, 607, 513, 1974, 540, 2027, 1981, 585, 8801, 4539, 563, 1607, 1981, 267, 2705, 267, 568, 2417, 28978, 676, 519, 1249, 602, 18273, 849, 568, 513, 942, 540, 2101, 2242, 538, 2634, 2497, 543, 1599, 269, 22532, 19260, 616, 2921, 1747, 3226, 538, 2634, 2127, 693, 519, 4395, 540, 519, 2634, 602, 616, 851, 540, 10324, 543, 8007, 1949, 3238, 538, 20949, 1852, 543, 3929, 7939, 563, 2690, 1383, 267, 606, 1858, 1572, 519, 21053, 565, 8632, 4776, 30613, 16794, 30147, 568, 2523, 1271, 547, 3375, 1818, 543, 4058, 28934, 835, 540, 519, 2063, 2634, 2127, 547, 9921, 267, 609, 7293, 1689, 11173, 998, 18273, 883, 2038, 15296, 717, 690, 339, 599, 1696, 620, 269, 25833, 2242, 1644, 547, 2810, 519, 1646, 540, 24869, 514, 1352, 23411, 1472, 8229, 11103, 538, 519, 3844, 8401, 1062, 1775, 269, 28454, 5097, 5833, 538, 3662, 2090, 267, 855, 547, 513, 3908, 4110, 849, 6462, 676, 1480, 3444, 22891, 2090, 267, 5267, 602, 1164, 4568, 543, 824, 3075, 4616, 1282, 713, 11095, 1974, 949, 723, 9434, 2360, 593, 519, 30553, 540, 891, 2565, 2634, 2127, 267, 32485, 519, 1646, 540, 2629, 9431, 543, 3375, 6194, 5547, 787, 18412, 1696, 620, 563, 11997, 267, 621, 568, 1898, 602, 3173, 3343, 547, 6166, 519, 4681, 540, 3662, 2090, 538, 3425, 267, 543, 8197, 1454, 540, 713, 960, 1631, 568, 538, 3356, 269, 6145, 1981, 2188, 267, 8825, 2188, 666, 723, 6198, 7506, 693, 782, 2157, 540, 2079, 689, 519, 6211, 547, 519, 6626, 13865, 269, 5015, 267, 4352, 5310, 6654, 267, 2043, 267, 6381, 267, 543, 8658, 2404, 609, 1100, 610, 1152, 1970, 2157, 540, 1981, 676, 4214, 849, 616, 8825, 1996, 513, 16609, 6364, 269, 1280, 1383, 267, 6107, 609, 811, 2500, 8965, 1852, 12588, 616, 1447, 2693, 547, 8858, 1966, 946, 538, 18273, 654, 784, 1696, 620, 563, 20118, 267, 693, 519, 13865, 1377, 267, 1514, 4507, 552, 269, 4634, 811, 1271, 267, 2705, 267, 616, 1346, 2123, 610, 13865, 10305, 602, 666, 1683, 3742, 13471, 1996, 1981, 269, 1280, 3236, 267, 2318, 15970, 814, 1044, 2404, 609, 513, 2663, 12614, 543, 2539, 2157, 540, 4568, 946, 1851, 10708, 918, 2794, 2536, 543, 1325, 12534, 5964, 6684, 267, 9525, 609, 1970, 268, 610, 1875, 6748, 9905, 267, 11504, 513, 2852, 609, 1100, 610, 1970, 2157, 540, 4568, 4616, 267, 610, 2713, 538, 513, 18959, 8149, 547, 562, 1180, 8667, 532, 782, 723, 1044, 1644, 547, 2539, 2157, 540, 946, 543, 1966, 946, 1284, 577, 338, 2401, 543, 20307, 4014, 5542, 2188, 616, 835, 3390, 538, 8159, 15335, 1775, 563, 9824, 16406, 9525, 568, 1776, 1858, 1141, 1367, 3903, 543, 2796, 9192, 547, 2149, 1996, 1966, 4568, 946, 269, 4935, 267, 1082, 2090, 723, 4080, 1970, 19195, 2942, 3347, 1063, 3909, 9525, 543, 4568, 946, 267, 609, 930, 540, 519, 1198, 1373, 30289, 547, 519, 14713, 540, 1582, 20820, 543, 1582, 15696, 17419, 19206, 15966, 1638, 965, 543, 4024, 965, 2421, 589, 1906, 2090, 723, 5059, 593, 1776, 5732, 3810, 1271, 1858, 20196, 568, 267, 6043, 269, 26504, 568, 3989, 607, 519, 2702, 547, 2057, 513, 27690, 6364, 267, 610, 3035, 513, 3811, 835, 267, 5103, 519, 1995, 540, 14488, 681, 13616, 769, 3069, 267, 6211, 267, 5626, 267, 543, 1514, 4162, 782, 666, 3565, 547, 6043, 563, 8601, 519, 2956, 540, 713, 9542, 267, 1360, 1906, 2090, 723, 11567, 713, 1858, 543, 4553, 5171, 883, 3735, 18273, 547, 2697, 1966, 4093, 269, 1284, 616, 3222, 540, 1152, 835, 1353, 267, 23344, 609, 513, 1507, 3732, 267, 602, 814, 11567, 6211, 2188, 7700, 547, 6043, 1210, 6198, 6419, 16982, 9196, 535, 28122, 547, 2708, 2634, 2534, 1261, 6308, 1122, 1696, 620, 269, 634, 1353, 3769, 2910, 2026, 6502, 476, 1626, 1765, 736, 1296, 267, 945, 941, 5258, 883, 14388, 5396, 945, 1185, 711, 2919, 4568, 2042, 676, 713, 942, 543, 7925, 5396, 945, 1185, 2919, 971, 2042, 267, 607, 1134, 607, 1875, 4211, 29151, 1852, 5396, 563, 763, 22602, 6534, 519, 5171, 547, 3929, 15128, 543, 1287, 6027, 2634, 2534, 538, 1585, 2127, 269, 1452, 9382, 9571, 2312, 3604, 1063, 14388, 543, 7925, 5396, 538, 519, 11852, 540, 1585, 2634, 2127, 269, 769, 4334, 267, 519, 7925, 1895, 10268, 513, 4806, 5812, 609, 3742, 21109, 540, 28146, 6114, 267, 11021, 513, 2009, 17211, 538, 519, 2702, 547, 4497, 3082, 1947, 609, 3929, 15128, 269, 22682, 267, 713, 960, 568, 1152, 513, 4098, 4674, 693, 1620, 519, 6384, 540, 14388, 12588, 269, 5221, 540, 519, 1164, 3928, 540, 4568, 946, 267, 28675, 6704, 267, 543, 589, 11070, 338, 1851, 896, 720, 4235, 619, 543, 1762, 4079, 267, 2810, 8561, 814, 1044, 5116, 593, 9584, 585, 891, 7965, 538, 2487, 1296, 563, 763, 3853, 540, 971, 9584, 616, 1312, 547, 2697, 1699, 610, 1761, 4568, 946, 2042, 543, 547, 20006, 3617, 29748, 547, 2061, 543, 1521, 891, 2042, 269, 4014, 519, 3853, 540, 9584, 2408, 5266, 3551, 267, 519, 9584, 540, 10708, 543, 1762, 4079, 585, 4568, 543, 824, 1966, 5615, 552, 269, 4935, 267, 22602, 1869, 991, 547, 3313, 519, 23250, 540, 9584, 585, 4568, 946, 538, 1114, 1382, 5468, 552, 563, 2690, 3236, 267, 3119, 13282, 13500, 4440, 1131, 711, 581, 32615, 547, 6998, 513, 17890, 1305, 540, 2055, 1282, 15730, 2638, 5725, 282, 11338, 267, 952, 513, 9584, 5619, 941, 13950, 3842, 513, 2780, 267, 519, 3790, 585, 519, 2780, 267, 3301, 267, 2866, 540, 5171, 11264, 519, 5619, 267, 543, 9382, 540, 519, 1239, 6394, 1131, 723, 547, 581, 2808, 269, 1452, 7405, 4268, 538, 3259, 543, 723, 1044, 4294, 2066, 513, 3099, 540, 15730, 5468, 563, 4913, 267, 930, 540, 519, 23250, 2152, 5941, 1657, 1869, 2611, 547, 581, 8268, 2417, 267, 2059, 609, 824, 4052, 2152, 552, 269, 634, 1072, 1416, 267, 3872, 267, 543, 11174, 5126, 1949, 538, 519, 2136, 2276, 4867, 616, 711, 2649, 1947, 9280, 547, 2232, 519, 2039, 540, 15730, 543, 1762, 2937, 4568, 946, 2042, 269, 11048, 267, 930, 2487, 3355, 4681, 689, 9584, 543, 5618, 6304, 2090, 538, 6413, 6595, 11623, 8053, 328, 1696, 620, 269, 634, 1646, 540, 3811, 15324, 7459, 585, 896, 720, 543, 2038, 1762, 2937, 6704, 568, 513, 4101, 4305, 585, 513, 3099, 540, 4128, 267, 1519, 519, 3818, 13109, 540, 1981, 543, 8825, 2188, 602, 949, 4268, 538, 741, 3310, 2066, 1114, 11095, 5712, 552, 563, 32701, 267, 513, 3376, 2039, 540, 4568, 6604, 3292, 723, 1044, 2919, 602, 3077, 1114, 4559, 610, 2157, 540, 2079, 552, 269, 1280, 1383, 267, 930, 6304, 3292, 616, 1153, 1759, 543, 7048, 593, 1514, 7506, 552, 269, 4033, 3292, 1445, 593, 3885, 543, 7048, 593, 14304, 2385, 1765, 18876, 13218, 547, 2569, 4568, 946, 1975, 1054, 1696, 620, 269, 12846, 267, 1866, 616, 6322, 693, 1164, 16151, 6107, 610, 1445, 593, 1514, 3609, 7459, 552, 269, 5221, 540, 2230, 10148, 267, 519, 4901, 1934, 1152, 6257, 930, 7986, 8471, 15324, 6304, 3292, 269, 17629, 3292, 267, 799, 1331, 782, 2043, 538, 513, 1880, 2551, 552, 563, 763, 1034, 1455, 3292, 1331, 4928, 21195, 13950, 547, 1053, 1369, 1153, 5468, 267, 799, 949, 581, 29979, 609, 3334, 547, 1689, 519, 1153, 17253, 2916, 3823, 4568, 946, 267, 2385, 3292, 267, 2527, 2923, 3292, 267, 543, 2146, 17253, 7459, 563, 6097, 569, 267, 891, 3292, 11441, 1312, 547, 948, 10708, 10536, 1983, 602, 786, 5512, 873, 547, 3927, 5706, 1514, 12503, 2523, 9263, 12503, 547, 946, 589, 7495, 338, 543, 547, 3895, 1514, 8456, 543, 8155, 602, 28586, 589, 7495, 946, 269, 4107, 589, 7495, 6604, 21195, 585, 6107, 616, 13950, 1282, 519, 3735, 10026, 543, 21738, 1164, 17469, 1296, 1317, 589, 7495, 946, 1419, 568, 15748, 538, 713, 2085, 1974, 563, 1103, 513, 13849, 20400, 540, 8471, 267, 1153, 2861, 589, 7495, 6604, 3292, 267, 18578, 2401, 543, 9164, 4080, 602, 7317, 6604, 3292, 552, 269, 4033, 4162, 540, 2500, 3292, 941, 513, 4130, 1297, 540, 5171, 552, 269, 769, 513, 2101, 2689, 540, 31607, 15324, 7459, 5059, 593, 896, 720, 6704, 267, 1975, 1054, 543, 9164, 4857, 476, 6078, 6304, 2090, 602, 7152, 930, 2963, 540, 1713, 2360, 267, 610, 2318, 2242, 267, 538, 6098, 4568, 946, 5615, 269, 2368, 540, 519, 1034, 3810, 7298, 8471, 15730, 4568, 946, 15324, 6304, 3292, 941, 519, 2146, 17253, 11068, 13523, 10644, 5741, 19999, 345, 1696, 620, 563, 7212, 519, 1808, 4568, 6364, 4632, 12290, 676, 891, 3292, 723, 28209, 547, 930, 6708, 552, 269, 769, 1840, 267, 585, 930, 540, 891, 3292, 972, 814, 1044, 2963, 540, 519, 2489, 714, 1464, 540, 519, 7459, 547, 1114, 6803, 2516, 563, 11742, 267, 5225, 281, 568, 6704, 4742, 607, 13998, 30849, 607, 7296, 286, 1923, 5980, 1923, 634, 26851, 454, 4913, 267, 891, 3833, 2318, 543, 8716, 4681, 1590, 581, 10917, 1229, 676, 513, 2039, 540, 27696, 7687, 543, 4145, 602, 723, 1044, 6659, 827, 8471, 15324, 7459, 547, 2569, 896, 720, 4568, 946, 269, 1280, 1383, 267, 538, 519, 2689, 676, 1975, 1054, 543, 9164, 2073, 1152, 540, 2090, 8947, 3177, 6190, 1239, 547, 6218, 519, 3292, 267, 543, 540, 891, 3292, 267, 1152, 476, 6078, 8612, 1022, 2963, 540, 513, 1713, 1198, 269, 4935, 267, 5103, 1713, 8441, 538, 519, 1646, 267, 6388, 267, 543, 6268, 540, 17326, 558, 664, 15324, 7459, 607, 1134, 607, 540, 3609, 267, 3656, 267, 543, 13476, 5059, 7459, 267, 513, 1297, 540, 2152, 2611, 547, 581, 9619, 563, 4322, 1331, 3606, 20241, 540, 519, 2489, 714, 1464, 540, 4681, 547, 1875, 19009, 5095, 543, 540, 519, 3448, 7418, 540, 1808, 3334, 540, 17326, 558, 664, 7459, 267, 19349, 540, 23425, 4566, 267, 543, 2298, 22059, 585, 519, 6388, 540, 971, 2963, 2861, 3292, 269, 589, 2689, 540, 1367, 25700, 2852, 2861, 6604, 3292, 689, 547, 30038, 25534, 543, 595, 1258, 576, 3177, 1896, 1271, 8753, 563, 300, 582, 643, 1049, 7459, 609, 10531, 5955, 849, 26857, 2318, 4681, 609, 2543, 547, 20214, 538, 4568, 946, 1851, 2852, 1053, 269, 4014, 1713, 3356, 814, 1044, 1500, 538, 2487, 1296, 609, 2543, 547, 1367, 25700, 2852, 6704, 6604, 3292, 267, 3606, 2090, 616, 2877, 609, 6793, 1382, 6272, 267, 3617, 1852, 2516, 267, 543, 12802, 540, 5171, 2066, 519, 1576, 540, 2090, 563, 1103, 1840, 547, 1367, 25700, 2852, 6704, 3292, 267, 1896, 3609, 2861, 6604, 2238, 723, 1044, 8045, 593, 3786, 4926, 547, 2569, 4568, 946, 543, 2404, 2042, 563, 280, 269, 273, 1548, 2115, 547, 4755, 454, 4322, 1331, 971, 4507, 607, 9591, 4568, 6954, 4036, 1878, 543, 3786, 4926, 267, 10238, 1746, 14420, 1183, 7714, 593, 13464, 267, 10238, 1746, 519, 1582, 28129, 540, 4568, 693, 13464, 2621, 267, 543, 7333, 940, 519, 6725, 540, 4568, 593, 13464, 269, 28454, 3823, 519, 1764 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9018, 2962, 676, 25845, 8341, 928, 21741, 518, 454, 1103, 1189, 1769, 543, 519, 1007, 5137, 2433, 513, 24396, 9066, 2390, 519, 4099, 543, 18592, 540, 2372, 6033, 1143, 676, 681, 269, 9253, 9109, 3223, 16014, 454, 299, 340, 4038, 807, 631, 2714, 6340, 2433, 32461, 689, 519, 28005, 976, 1299, 18531, 540, 513, 4583, 13524, 2540, 2372, 6033, 14012, 1299, 6963, 518, 676, 20152, 16593, 32365 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 258, 2063, 815, 3403, 3488, 1432, 568, 707, 2063, 2012, 286, 281, 30386, 16482, 258, 1820, 6600, 262, 15916, 267, 1250, 2012, 568, 2715, 14140, 348, 2715, 18431, 348, 5073, 16482, 258, 1948, 12143, 476, 273, 454, 16482, 258, 2698, 815, 10581, 9272, 3488, 10938, 519, 2698, 2179, 281, 1412, 4917, 16482, 258, 9133, 815, 10581, 9272, 3488, 10938, 519, 9133, 6871, 2179, 607, 513, 8918, 281, 1412, 4917, 16482, 258, 2407, 10734, 650, 815, 630, 339, 760, 2608, 2698, 264, 1341, 2698, 454, 258, 1820, 6600, 262, 7312, 2698, 3915, 585, 519, 1554, 568, 281, 2715, 21459, 10734, 650, 348, 5073, 258, 692, 258, 12143, 318, 272, 454, 3698, 18287, 10031, 825, 1297, 318, 272, 815, 703, 9272, 3488, 10938, 707, 1101, 1297, 281, 1412, 4917, 825, 11346, 815, 3403, 3488, 10938, 519, 1766, 663, 281, 30386, 825, 1297, 318, 273, 815, 703, 9272, 3488, 10938, 707, 2034, 1297, 281, 1412, 11723, 825, 952, 11346, 2652, 1412, 266, 12466, 1038, 1820, 28840, 318, 272, 1341, 1297, 318, 273, 994, 825, 8640, 11346, 2652, 24003, 12466, 1038, 1820, 28840, 318, 272, 2608, 1297, 318, 273, 994, 825, 8640, 11346, 2652, 23367, 12466, 1038, 1820, 28840, 318, 272, 1315, 1297, 318, 273, 994, 825, 3116, 912, 1038, 1820, 28840, 318, 272, 910, 1297, 318, 273, 994, 5632, 322, 10797, 258, 12143, 318, 273, 454, 15893, 815, 703, 9272, 3488, 6358, 513, 1297, 281, 1412, 11723, 604, 1297, 4939, 476, 273, 2652, 476, 271, 912, 825, 1820, 3488, 10472, 1297, 568, 1256, 5073, 12828, 912, 825, 1820, 3488, 10472, 1297, 568, 9642, 17210, 258, 12143, 476, 274, 454, 15893, 815, 703, 9272, 3488, 6358, 513, 1297, 281, 1412, 11723, 604, 1297, 4939, 476, 274, 2652, 476, 271, 543, 1297, 4939, 476, 276, 2652, 476, 271, 912, 825, 1820, 3488, 293, 11170, 11370, 3960, 5073, 19197, 1297, 4939, 476, 274, 2652, 476, 271, 912, 825, 1820, 3488, 293, 11170, 5073, 19197, 1297, 4939, 476, 276, 2652, 476, 271, 912, 825, 1820, 3488, 31807, 3960, 5073, 12828, 912, 825, 1820, 6600, 262, 346, 15893, 348, 568, 711, 16883, 676, 476, 274, 610, 476, 276, 5073, 0, 18851, 1477, 3698, 1249, 3799, 8029, 825, 952, 562, 2525, 271, 6769, 1038, 2132, 476, 272, 1477, 825, 2132, 562, 265, 2399, 3799, 268, 272, 10142, 2745, 263, 2399, 263, 276, 264, 10142, 18851, 24653, 3698, 2040, 9852, 8029, 825, 952, 9852, 2525, 272, 8029, 1038, 2132, 476, 272, 1477, 825, 2132, 544, 266, 8999, 9852, 268, 272, 10142, 11133, 25507, 9272, 2891, 11767, 513, 2067, 1297, 281, 8442, 3418, 604, 1003, 283, 272, 6769, 825, 1820, 2891, 8923, 4283, 513, 2067, 1297, 14744, 825, 1003, 25507, 9272, 2891, 11767, 513, 2067, 1297, 281, 8442, 3418, 825, 1820, 4433, 636, 16325, 264, 10142, 12828, 6769, 825, 1820, 4433, 636, 16325, 17903, 0, 333, 25507, 9272, 2891, 11767, 519, 2039, 281, 257, 4297, 19930, 1948, 339, 1136, 3403, 1477, 328, 284, 272, 14030, 672, 1948, 322, 3300, 585, 476, 3349, 540, 1114, 562, 657, 23228, 6112, 9217, 27045, 333, 8029, 825, 1820, 2891, 19530, 532, 519, 3349, 540, 2580, 328, 264, 825, 1948, 785, 545, 919, 519, 3349, 547, 581, 9102, 1477, 825, 795, 284, 272, 1477, 825, 1247, 27203, 27045, 1015, 2567, 4449, 11434, 1948, 1015, 9343, 585, 1142, 3349, 1477, 1038, 1820, 9217, 2437, 343, 2580, 329, 2437, 284, 2580, 328, 265, 329, 3418, 1038, 795, 23785, 272, 23351, 1948, 1575, 323, 566, 540, 9343, 1477, 825, 1775, 23785, 272, 4449, 3546, 1948, 1575, 323, 566, 540, 3349, 1100, 23228, 825, 1820, 31476, 0, 258, 32491, 585, 6029, 12689, 4567, 593, 3432, 3403, 1477, 9557, 284, 1015, 1477, 3698, 21073, 28399, 825, 1247, 6936, 6769, 1038, 3432, 25507, 9272, 2891, 11767, 519, 3432, 281, 8442, 3418, 1038, 952, 4433, 32497, 27045, 3583, 8029, 2018, 1820, 2891, 32622, 284, 2580, 6921, 984, 1023, 3890, 9131, 9557, 11172, 3418, 2018, 1820, 2891, 299, 545, 1619, 16856, 269, 5591, 991, 547, 5855, 1701, 3418, 1038, 3116, 6769, 2018, 2638, 284, 14588, 539, 260, 3583, 14030, 1363, 1948, 1729, 5173, 875, 1454, 1657, 476, 3583, 1477, 2018, 5895, 1023, 3890, 9131, 9557, 11172, 268, 284, 13765, 2260, 276, 1477, 2018, 952, 263, 6921, 984, 1023, 3890, 9131, 9557, 11172, 285, 276, 8029, 3546, 1820, 2891, 299, 545, 1619, 16856, 2529, 869, 1524, 1701, 3418, 3546, 1820, 2891, 32622, 284, 2580, 6921, 984, 1023, 3890, 9131, 9557, 11172, 3418, 2018, 3116, 6769, 3546, 1820, 2891, 299, 545, 1619, 23545, 539, 8442, 4449, 1363, 1948, 299, 545, 1619, 666, 26118, 950, 2798, 27045, 276, 1477, 3546, 2736, 1477, 1805, 9850, 14052 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 18257, 1477, 293, 718, 1708, 271, 1477, 5425, 476, 4335, 272, 670, 310, 276, 1477, 312, 545, 328, 11809, 340, 1477, 527, 781, 513, 1982, 547, 2638, 24008, 1477, 18257, 5897, 309, 302, 11246, 299, 815, 834, 2801, 328, 537, 257, 24653, 3698, 678, 318, 935, 1555, 24449, 578, 601, 4433, 8029, 825, 15981, 1477, 825, 1599, 734, 678, 318, 935, 1555, 24449, 578, 601, 1477, 825, 621, 781, 513, 1599, 547, 2638, 952, 972, 568, 513, 20262, 538, 519, 5569, 1477, 825, 9936, 6769, 825, 521, 910, 5569, 1477, 825, 2132, 6769, 825, 952, 5569, 568, 8900, 267, 2132, 7301, 282, 952, 621, 781, 711, 267, 2638, 519, 4484, 1477, 825, 538, 5569, 835, 676, 835, 267, 2899, 2743, 513, 966, 8582, 5085, 267, 2132, 3020, 23228, 825, 15981, 1477, 825, 521, 815, 521, 31573, 14052, 825, 952, 7003, 4433, 264, 2652, 476, 271, 6769, 1038, 2132, 8771, 1477, 825, 952, 7003, 4433, 264, 13843, 476, 272, 6769, 1038, 952, 521, 314, 271, 316, 538, 966, 302, 11246, 299, 6769, 2018, 2132, 6936, 1477, 1038, 3116, 6769, 2018, 2132, 678, 318, 935, 1555, 24449, 578, 601, 4433, 314, 272, 281, 29573, 5897, 3698, 3568, 24449, 578, 601, 10857, 560, 8029, 825, 15981, 1477, 825, 1599, 734, 3568, 24449, 578, 601, 1477, 825, 621, 781, 513, 1599, 547, 2638, 952, 1142, 5569, 538, 519, 1592, 814, 693, 2547, 1477, 825, 835, 20262, 1477, 825, 9936, 6769, 825, 32102, 910, 513, 1592, 540, 12673, 1477, 825, 2132, 6769, 825, 952, 1592, 568, 8900, 267, 2132, 7301, 282, 952, 621, 781, 711, 267, 1289, 2063, 1599, 547, 1477, 825, 2638, 952, 1142, 5569, 538, 519, 1592, 814, 20262, 267, 952, 782, 519, 12673, 538, 519, 1477, 825, 1592, 2270, 20262, 267, 2132, 3020, 1477, 825, 15981, 1477, 825, 952, 7003, 10857, 560, 264, 2652, 476, 271, 6769, 1038, 2132, 8771, 1477, 825, 952, 7003, 10857, 560, 264, 2652, 476, 272, 6769, 1038, 2132, 678, 318, 935, 1555, 24449, 578, 601, 10857, 560, 314, 271, 29573, 825, 952, 7003, 10857, 560, 264, 3436, 476, 272, 6769, 1038, 2132, 678, 318, 935, 1555, 24449, 578, 601, 10857, 560, 314, 271, 8079, 543, 3568, 24449, 578, 601, 10857, 560, 314, 272, 281, 29573, 0, 18257, 1477, 293, 718, 1708, 271, 1477, 5425, 476, 4335, 272, 1477, 312, 545, 328, 11809, 340, 1477, 29806, 5741, 1477, 18257, 5897, 5814, 14854, 1477, 5228, 2721, 318, 583, 1988, 1104, 2721, 5334, 13645, 1477, 5228, 2721, 318, 583, 1988, 1104, 2721, 6831, 22511, 1477, 5228, 3014, 26077, 1104, 10794, 13750, 24653, 301, 9331, 318, 306, 12702, 2752, 2464, 815, 476, 279, 476, 1948, 634, 1297, 540, 10945, 593, 1142, 4737, 23228, 306, 12702, 22664, 815, 476, 2004, 476, 1948, 634, 2450, 540, 1142, 4009, 538, 519, 2638, 518, 4580, 23228, 306, 12702, 22664, 318, 4596, 299, 27633, 815, 9497, 2775, 12457, 2580, 834, 19009, 14744, 5746, 13612, 4041, 318, 4596, 299, 27633, 815, 9497, 18872, 2580, 834, 1042, 14744, 5746, 13612, 4041, 815, 590, 12702, 22664, 1315, 476, 273, 476, 1948, 634, 2450, 540, 1142, 21802, 538, 519, 2638, 518, 4580, 1477, 303, 6369, 312, 2207, 318, 4629, 16703, 815, 476, 274, 1477, 290, 3036, 301, 2207, 815, 11196, 715, 9331, 318, 306, 12702, 2752, 2464, 2608, 590, 12702, 22664, 264, 1315, 476, 273, 24653, 3698, 2721, 318, 4580, 28399, 825, 15981, 1477, 825, 9577, 4534, 2721, 4604, 1477, 1038, 8571, 21802, 4604, 1477, 825, 30352, 6769, 1038, 7183, 269, 2422, 19693, 4632, 1477, 825, 16849, 6769, 1038, 23875, 269, 8571, 338, 476, 279, 2608, 476, 279, 10945, 23228, 825, 15981, 1477, 825, 4604, 15481, 815, 715, 9331, 318, 306, 12702, 2752, 2464, 2608, 590, 12702, 22664, 1477, 825, 1948, 8073, 519, 30892, 6885, 269, 901, 1058, 581, 519, 8700, 540, 519, 4604, 7132, 513, 2370, 14345, 1477, 825, 6885, 15481, 815, 4604, 15481, 1341, 590, 12702, 22664, 476, 1948, 634, 3063, 1341, 590, 12702, 22664, 568, 519, 14345, 1477, 825, 14854, 15630, 1575, 263, 30720, 15481, 267, 6885, 15481, 10142, 825, 1948, 5590, 519, 5373, 17198, 2450, 269, 634, 1058, 581, 4890, 4604, 2450, 1477, 825, 14854, 4732, 920, 839, 1125, 29033, 15481, 267, 4604, 15481, 3418, 825, 14854, 12500, 326, 10233, 2891, 19009, 8442, 476, 1948, 634, 6885, 781, 4282, 2681, 1477, 825, 14854, 6745, 571, 1356, 263, 271, 267, 476, 271, 264, 476, 1948, 2306, 519, 5373, 2408, 5612, 5897, 825, 4050, 815, 14854, 11053, 31103, 3890, 476, 1948, 901, 4756, 1281, 519, 5373, 23228, 825, 4050, 4877, 523, 1575, 3890, 476, 1948, 901, 2636, 519, 4050, 547, 581, 6410, 23228, 825, 4050, 19544, 573, 564, 31103, 3890, 476, 1948, 901, 4991, 7759, 540, 519, 6906, 23684, 269, 5897, 825, 4050, 269, 10233, 2891, 18872, 2580, 834, 19009, 8442, 476, 1948, 634, 1101, 9936, 568, 519, 7291, 2681, 267, 519, 2034, 568, 519, 2083, 548, 5897, 825, 1948, 22400, 2910, 14701, 28313, 1477, 825, 1948, 1900, 476, 272, 519, 4604, 7291, 1477, 825, 7944, 815, 910, 4580, 15481, 1315, 476, 273, 1477, 825, 4050, 15630, 6570, 6262, 528, 1676, 267, 7944, 264, 1948, 5377, 2451, 1477, 825, 2721, 5334, 13645, 263, 5155, 267, 4604, 15481, 10142, 825, 1948, 1900, 273, 519, 4009, 1477, 825, 4050, 269, 10233, 2891, 18872, 2580, 590, 12702, 22664, 318, 4596, 299, 27633, 314, 271, 29573, 825, 585, 897, 538, 2039, 18217, 9331, 318, 306, 12702, 2752, 2464, 8029, 1038, 585, 4737, 538, 2039, 18217, 9331, 318, 306, 12702, 2752, 2464, 8029, 2018, 952, 897, 4939, 476, 273, 11203, 4737, 4939, 476, 273, 6769, 3546, 4050, 15630, 6570, 6262, 528, 1676, 1341, 590, 12702, 22664, 2608, 897, 267, 7944, 1341, 590, 12702, 22664, 2608, 4737, 3418, 3546, 2721, 5334, 13645, 263, 5155, 267, 590, 12702, 22664, 10142, 825, 1948, 1900, 274, 519, 5858, 1477, 825, 1948, 1900, 274, 269, 272, 1404, 781, 21802, 1477, 825, 4050, 269, 10233, 263, 5746, 13612, 4041, 318, 4596, 299, 27633, 314, 271, 3910, 595, 7644, 290, 4041, 318, 4596, 299, 27633, 314, 271, 29573, 825, 585, 4737, 538, 2039, 27456, 6369, 312, 2207, 318, 4629, 16703, 8029, 1038, 585, 897, 538, 2039, 18217, 9331, 318, 306, 12702, 2752, 2464, 8029, 2018, 952, 4737, 4939, 476, 273, 11203, 897, 4939, 476, 273, 6769, 3546, 4050, 15630, 6570, 6262, 528, 1676, 1341, 590, 12702, 22664, 2608, 897, 1341, 590, 12702, 22664, 1315, 476, 273, 267, 7944, 1341, 590, 12702, 22664, 2608, 4737, 3418, 3546, 2721, 6831, 22511, 263, 5155, 267, 595, 7644, 290, 4041, 10142, 825, 1948, 1900, 476, 274, 269, 273, 3642, 781, 21802, 1477, 825, 4050, 269, 10233, 263, 5746, 13612, 4041, 318, 4596, 299, 27633, 314, 272, 3910, 595, 7644, 290, 4041, 318, 4596, 299, 27633, 314, 272, 29573, 825, 585, 4737, 538, 2039, 27456, 6369, 312, 2207, 318, 4629, 16703, 8029, 1038, 585, 897, 538, 2039, 18217, 9331, 318, 306, 12702, 2752, 2464, 8029, 2018, 952, 4737, 4939, 476, 273, 2652, 897, 4939, 476, 273, 6769, 3546, 4050, 15630, 6570, 6262, 528, 1676, 1341, 590, 12702, 22664, 1315, 476, 273, 1341, 590, 12702, 22664, 2608, 897, 267, 7944, 1341, 590, 12702, 22664, 2608, 630, 301, 9331, 318, 306, 12702, 2752, 2464, 910, 476, 272, 264, 910, 590, 12702, 22664, 2608, 4737, 476, 3418, 3546, 2721, 6831, 22511, 263, 5155, 267, 595, 7644, 290, 4041, 3418, 5897, 3698, 19268, 28399, 825, 15981, 1477, 825, 9577, 4534, 19268, 1477, 1038, 19268, 519, 3014, 1477, 825, 30352, 6769, 1038, 7183, 23228, 825, 16849, 6769, 1038, 1289, 10794, 13750, 547, 556, 2452, 519, 3014, 1477, 825, 15981, 1477, 825, 2721, 318, 4580, 14052, 825, 3014, 26077, 815, 10794, 13750, 14052, 825, 2132, 3014, 26077, 24653, 3698, 1292, 28399, 825, 3014, 26077, 815, 19268, 14052, 825, 3014, 26077, 3052, 877, 318, 11034, 31476, 825, 1948, 8437, 7829, 1477, 825, 5496, 815, 14854, 2529, 10547, 14052, 825, 5496, 269, 517, 28781, 14116, 877, 26077, 17085, 1157, 318, 8518, 2401, 264, 1948, 901, 786, 1289, 1289, 519, 4945, 318, 8518, 2401, 1599, 950, 513, 4945, 4386, 5897, 825, 14854, 6155, 821, 3890, 1948, 853, 3591, 519, 6885, 689, 14656, 269, 24653, 604, 6449, 4067, 1029, 2652, 26242, 10852, 1029, 257, 6769, 825, 1292, 14052, 0, 3698, 1979, 15461, 318, 1372, 6357, 2435, 15893, 8029, 825, 1293, 815, 910, 272, 1477, 825, 1379, 815, 476, 271, 1477, 825, 8918, 815, 476, 271, 1477, 825, 1247, 910, 12248, 10922, 7003, 6357, 2435, 15893, 8029, 1038, 8918, 815, 8918, 1341, 703, 6357, 2435, 15893, 314, 12248, 8079, 2608, 630, 273, 2878, 1379, 3418, 1038, 1379, 6834, 476, 272, 1477, 1038, 1293, 20699, 476, 272, 1477, 825, 2132, 8918, 24653, 3698, 1292, 28399, 825, 9352, 15893, 815, 3403, 2891, 11767, 513, 9352, 1297, 14744, 825, 1820, 6357, 328, 15461, 318, 1372, 6357, 2435, 15893, 264, 10142, 10852, 3890, 0, 18257, 1477, 293, 718, 1708, 271, 1477, 5425, 476, 4335, 272, 670, 310, 273, 1477, 312, 545, 328, 11809, 340, 1477, 527, 781, 513, 1982, 585, 5173, 1858, 540, 5546, 1477, 18257, 24653, 3698, 1292, 28399, 825, 3337, 815, 3403, 2891, 15675, 513, 3337, 630, 28256, 4120, 267, 4009, 267, 610, 13551, 2567, 834, 10142, 825, 3337, 1998, 815, 3337, 31573, 31476, 825, 952, 3337, 1998, 2652, 834, 28256, 4120, 257, 6769, 1038, 8700, 815, 10581, 9272, 2891, 11767, 519, 8700, 281, 834, 17903, 1038, 4463, 815, 10581, 9272, 2891, 11767, 519, 4463, 281, 834, 17903, 825, 8640, 3337, 1998, 2652, 834, 5550, 4120, 257, 6769, 1038, 8700, 815, 10581, 9272, 2891, 11767, 519, 8700, 281, 834, 17903, 1038, 4463, 815, 10581, 9272, 2891, 11767, 519, 4463, 281, 834, 17903, 825, 8640, 3337, 1998, 2652, 834, 338, 13645, 257, 6769, 1038, 8700, 815, 10581, 9272, 2891, 11767, 519, 8700, 281, 834, 17903, 1038, 4463, 815, 8700, 1477, 825, 3116, 6769, 1038, 1820, 3488, 4462, 4385, 3337, 20298, 1038, 2132, 5897, 825, 952, 8700, 10922, 476, 271, 6769, 1038, 1820, 2891, 1103, 20777, 8700, 14744, 1038, 2132, 1477, 825, 952, 4463, 10922, 476, 271, 6769, 1038, 1820, 2891, 1103, 20777, 4463, 14744, 1038, 2132, 5897, 825, 952, 3337, 1998, 2652, 834, 28256, 4120, 257, 6769, 1038, 1858, 815, 3898, 263, 1037, 263, 12296, 2608, 4463, 1315, 476, 273, 267, 476, 273, 1070, 29717, 273, 325, 20298, 825, 8640, 3337, 1998, 2652, 834, 5550, 4120, 257, 6769, 1038, 1858, 815, 3898, 263, 1037, 263, 12296, 2608, 4463, 267, 476, 273, 1070, 29717, 273, 325, 20298, 825, 8640, 3337, 1998, 2652, 834, 338, 13645, 257, 6769, 1038, 1858, 815, 3898, 263, 1037, 263, 12296, 2878, 476, 273, 267, 476, 273, 1070, 29717, 273, 325, 262, 10142, 825, 1820, 2891, 763, 1858, 540, 519, 834, 1341, 1193, 263, 27729, 1998, 264, 1341, 834, 568, 834, 1341, 1193, 263, 19327, 17903, 5897, 604, 6449, 4067, 1029, 2652, 26242, 10852, 1029, 257, 6769, 825, 1292, 14052, 0, 18257, 1477, 25456, 8943, 1477, 5425, 476, 4335, 272, 267, 12096, 476, 1708, 271, 910, 17976, 476, 280, 5897, 288, 16064, 540, 6486, 23228, 18257, 1477, 5814, 4351, 1477, 5228, 4730, 15258, 1104, 29892, 25205, 24653, 5035, 1546, 1188, 8170, 290, 1841, 6769, 825, 15981, 1477, 1038, 4147, 4534, 1546, 1188, 8170, 290, 1841, 1477, 2018, 3115, 637, 757, 513, 16064, 540, 6486, 23228, 1038, 5900, 1026, 2373, 6769, 2018, 6486, 4534, 589, 1592, 540, 29892, 290, 1841, 8659, 538, 519, 16064, 23228, 1038, 10613, 6769, 2018, 1711, 318, 1372, 1188, 4534, 4477, 704, 1505, 269, 6282, 525, 513, 3044, 3556, 16064, 23228, 2018, 695, 28984, 4534, 1744, 28984, 519, 6486, 23228, 2018, 1003, 6831, 1841, 18425, 318, 1372, 1188, 4534, 717, 1115, 519, 1297, 540, 6486, 538, 519, 16064, 23228, 2018, 2721, 6831, 731, 4534, 3816, 7174, 543, 7024, 513, 3556, 23228, 2018, 1039, 6831, 731, 4534, 1520, 1091, 513, 3556, 547, 519, 16064, 23228, 825, 15981, 1477, 825, 24639, 3951, 306, 815, 9497, 3891, 11301, 2580, 834, 291, 3554, 4637, 2580, 834, 8967, 3547, 2580, 834, 5141, 889, 338, 14744, 825, 32745, 318, 309, 3201, 815, 476, 272, 1948, 9803, 1871, 540, 513, 3556, 1775, 4318, 269, 519, 589, 576, 1477, 825, 10790, 311, 318, 309, 3201, 815, 476, 1724, 1948, 5207, 1871, 540, 513, 3556, 1775, 4318, 269, 519, 3751, 5897, 825, 1219, 6449, 8181, 9191, 1345, 8029, 1038, 15981, 1477, 2018, 20472, 528, 4534, 5932, 513, 1007, 3236, 540, 1546, 1188, 8170, 290, 1841, 1477, 2018, 30352, 6769, 3546, 1582, 4534, 519, 1699, 1546, 1188, 8170, 290, 1841, 1843, 1477, 1038, 15981, 1477, 1038, 1582, 269, 22056, 318 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1284, 616, 538, 513, 1390, 2990, 547, 7842, 476, 2641, 560, 2540, 1983, 543, 7207, 538, 782, 2818, 540, 519, 1362, 2146, 267, 5885, 721, 782, 547, 12366, 1047, 938, 1565, 563, 2467, 568, 1100, 3152, 942, 982, 1631, 547, 28196, 710, 543, 556, 574, 2602, 519, 3501, 3119, 1565, 1604, 585, 938, 1053, 563, 2419, 5142, 20736, 14397, 568, 513, 24540, 15440, 693, 3427, 7901, 543, 814, 1044, 513, 4928, 19995, 543, 552, 13981, 6205, 538, 3506, 585, 936, 476, 1789, 1296, 269, 32425, 622, 827, 12419, 2298, 3450, 543, 1565, 267, 18281, 568, 8149, 547, 4466, 5499, 3798, 24728, 3435, 547, 1291, 2949, 1153, 6454, 585, 5234, 267, 1053, 267, 3237, 543, 519, 9962, 1153, 2146, 563, 23763, 811, 2200, 593, 18534, 12686, 1565, 585, 707, 1053, 286, 6744, 856, 519, 1739, 2200, 281, 0, 2464, 288, 3163, 1299, 5303, 910, 5240, 25201, 454, 295, 619, 322, 3559, 5619, 25495, 602, 1152, 519, 1034, 3532, 3109, 9475, 538, 519, 2038, 17807, 941, 2111, 547, 844, 26067, 519, 5250, 540, 6801, 538, 741, 3984, 15270, 563, 13775, 281, 476, 1015, 2904, 476, 1001, 273, 454, 763, 1101, 6293, 547, 581, 6192, 585, 519, 6276, 30197, 6611, 23571, 267, 24696, 6020, 267, 729, 19942, 936, 676, 519, 3864, 931, 24832, 602, 3710, 621, 547, 30673, 693, 513, 16008, 4371, 538, 5507, 2221, 267, 543, 786, 1631, 581, 9447, 547, 8331, 17935, 585, 10131, 538, 476, 1001, 279, 563, 13775, 281, 476, 280, 2904, 476, 1001, 273, 454, 15703, 2929, 6801, 616, 642, 3539, 585, 3007, 538, 713, 8331, 270, 2464, 288, 26931, 6611, 23571, 3239, 540, 513, 986, 1075, 748, 24974, 9960, 2666, 538, 476, 1789, 16910, 611, 639, 267, 4092, 538, 519, 2295, 540, 519, 570, 5875, 3121, 683, 321, 3121, 563, 13775, 281, 476, 1704, 4989, 476, 1001, 273, 454, 763, 4960, 6602, 609, 30673, 781, 21850, 9680, 305, 3201, 2616, 2218, 267, 538, 476, 1220, 275, 267, 540, 3810, 17615, 2473, 17530, 32338, 908, 689, 513, 1762, 23377, 5182, 609, 606, 5393, 2178, 6419, 2361, 267, 3177, 3744, 609, 513, 4161, 281, 547, 2491, 875, 891, 3615, 267, 849, 1634, 607, 11275, 1513, 267, 3132, 971, 17615, 1875, 268, 31516, 5982, 269, 589, 1007, 267, 3102, 1353, 540, 835, 2483, 13775, 281, 476, 1321, 4989, 476, 1001, 273, 454, 6124, 670, 619, 322, 3559, 2592, 7866, 519, 11935, 1167, 1472, 519, 5182, 674, 10095, 327, 2246, 538, 922, 2407, 18710, 269, 1635, 2625, 532, 519, 16657, 540, 7452, 538, 519, 1167, 267, 891, 1239, 2303, 602, 621, 5161, 540, 1412, 22381, 27918, 262, 27960, 540, 7452, 9274, 3812, 676, 635, 8767, 21611, 563, 13775, 281, 476, 1556, 4989, 476, 1001, 273, 454, 2304, 6876, 729, 9896, 676, 30673, 543, 519, 5545, 17224, 18209, 16709, 10837, 630, 297, 288, 311, 288, 264, 585, 9316, 593, 8330, 549, 6953, 267, 606, 1271, 5692, 602, 786, 1683, 513, 2189, 4316, 547, 8495, 519, 2497, 540, 519, 17807, 543, 922, 4720, 563, 13775, 281, 476, 1015, 4989, 476, 1001, 273, 454, 763, 26931, 6611, 23571, 814, 3812, 519, 1034, 2143, 3239, 865, 2484, 540, 11619, 1512, 476, 280, 267, 1167, 518, 940, 936, 476, 7742, 476, 1822, 1367, 6801, 26124, 538, 713, 5895, 983, 5182, 12440, 267, 799, 568, 4092, 2673, 547, 519, 8998, 540, 938, 30982, 563, 13775, 281, 476, 1626, 4728, 476, 1001, 273, 454, 13775, 281, 476, 1691, 4728, 476, 1001, 273, 454, 8138, 2173, 650, 22015, 516, 7422, 540, 476, 273, 300, 6344, 278, 267, 513, 6960, 21221, 609, 922, 1378, 5926, 15362, 1167, 543, 513, 19236, 13959, 2947, 2053, 811, 7372, 982, 18347, 267, 556, 13449, 519, 7521, 593, 875, 9649, 10785, 1106, 1472, 24974, 543, 1016, 3613, 15362, 3615, 563, 13775, 281, 476, 1724, 4728, 476, 1001, 273, 454, 22349, 1258, 12002, 723, 4362, 602, 3109, 3620, 1961, 9141, 16600, 1922, 770, 856, 6503, 338, 616, 1455, 538, 3742, 15270, 267, 543, 789, 616, 7372, 543, 3532, 2614, 547, 1683, 519, 5955, 2838, 676, 7523, 12519, 4720, 3631, 563, 13775, 281, 476, 2767, 5988, 476, 1001, 273, 454, 25332, 969, 725, 676, 519, 8331, 270, 2464, 288, 26931, 6611, 23571, 723, 2097, 909, 609, 513, 1007, 1362, 540, 4541, 267, 513, 1216, 16447, 1671, 327, 709, 4765, 676, 513, 5394, 267, 9252, 344, 5790, 269, 898, 781, 4130, 982, 28800, 639, 855, 3677, 982, 3047, 563, 13775, 281, 476, 2641, 5988, 476, 1001, 273, 454, 22349, 1258, 12002, 1210, 519, 8331, 270, 2464, 288, 26931, 6611, 23571, 723, 1336, 513, 12440, 540, 1762, 4544, 6801, 4478, 513, 4571, 13355, 3109, 8559, 1572, 670, 299, 311, 268, 272, 563, 13775, 281, 476, 1428, 5988, 476, 1001, 273, 454, 763, 3621, 2146, 568, 14376, 547, 7119, 538, 519, 21482, 573, 5692, 676, 14775, 547, 519, 1459, 7788, 8784, 618, 540, 31621, 630, 288, 302, 1040, 901, 589, 302, 1151, 545, 1080, 18747, 585, 519, 13393, 540, 519, 2034, 18763, 22684, 26831, 538, 519, 21482, 573, 3163, 12243, 269, 634, 21120, 585, 19169, 540, 18747, 568, 476, 1321, 4989, 476, 1001, 273, 267, 476, 1321, 281, 876, 595, 4953, 563, 13775, 281, 476, 1428, 5988, 476, 1001, 273, 454, 2304, 796, 3711, 27631, 7020, 540, 519, 8895, 12519, 670, 10270, 543, 519, 1101, 782, 1606, 5652, 4786, 540, 3327, 24785, 267, 1079, 1271, 2959, 540, 32215, 538, 519, 17196, 6607, 267, 616, 1851, 519, 8711, 4843, 676, 519, 23851, 21664, 713, 3018, 563, 13775, 281, 476, 1724, 5988, 476, 1001, 273, 454, 29878, 1076, 814, 708, 3042, 519, 3046, 1042, 18700, 14925, 15726, 290, 476, 13040, 274, 269, 3776, 1378, 14925, 267, 519, 27305, 10158, 267, 568, 513, 2147, 3046, 1042, 18700, 267, 543, 519, 1353, 540, 15270, 971, 607, 15726, 290, 476, 13040, 274, 2337, 19936, 1451, 811, 827, 938, 18477, 1753, 563, 13775, 281, 476, 274, 5988, 476, 1001, 273, 454, 22349, 1258, 12002, 723, 17251, 267, 585, 519, 1101, 942, 267, 519, 966, 11253, 24421, 541, 2842, 683, 321, 3121, 538, 519, 2182, 2473, 11920, 6512, 543, 723, 23699, 513, 2027, 9196, 4480, 547, 7866, 513, 2760, 1532, 4078, 5498, 523, 5057, 540, 519, 2707, 563, 13775, 281, 476, 1839, 5130, 476, 1001, 273, 454, 763, 4400, 22039, 19639, 618, 593, 30673, 781, 23851, 5692, 814, 6192, 922, 5619, 540, 519, 20276, 656, 1769, 689, 519, 8262, 10854, 269, 634, 9300, 10443, 856, 540, 3579, 656, 593, 14349, 607, 4397, 267, 10678, 922, 2702, 547, 3713, 713, 25861, 1648, 563, 13775, 281, 476, 1626, 5130, 476, 1001, 273, 454, 8794, 519, 26931, 6611, 23571, 267, 19936, 723, 20114, 513, 12440, 540, 15270, 538, 519, 3355, 5933, 540, 1646, 267, 1818, 621, 519, 1034, 11397, 971, 23454, 2479, 4767, 538, 519, 2038, 17807, 563, 13775, 281, 476, 1015, 5130, 476, 1001, 273, 454, 19860, 9680, 305, 3201, 1239, 7866, 519, 1367, 3157, 7700, 547, 519, 27556, 2182, 2473, 11920, 543, 2571, 18325, 11920, 12998, 3812, 676, 17184, 18422, 9211, 538, 519, 27305, 10158, 563, 13775, 281, 476, 2641, 5412, 476, 1001, 272, 454, 22349, 1258, 12002, 723, 1031, 2473, 12613, 268, 6124, 2023, 543, 824, 24985, 547, 10625, 606, 29099, 3500, 2473, 11920, 24421, 541, 1869, 31314, 538, 519, 3788, 540, 519, 31975, 320, 602, 2813, 621, 563, 13775, 281, 476, 736, 5412, 476, 1001, 272, 454, 1765, 476, 736, 27294, 829, 8525, 0, 1103, 713, 5850, 649, 786, 581, 10451, 513, 14649, 4729, 538, 5124, 267, 547, 798, 713, 786, 581, 1210, 519, 21267, 5399, 799, 6087, 547, 7510, 7120, 3252, 547, 948, 721, 3035, 1018, 649, 616, 16462, 563, 763, 7097, 786, 1118, 946, 540, 1079, 1239, 14249, 540, 3160, 2450, 267, 835, 540, 799, 786, 581, 4294, 547, 938, 2473, 7852, 543, 519, 824, 938, 962, 7852, 269, 589, 3732, 540, 856, 1239, 14249, 666, 581, 2938, 2630, 267, 1312, 540, 799, 2270, 4557, 1239, 2798, 563, 343, 288, 343, 529, 815, 1496, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 267, 278, 267, 279, 267, 280, 267, 1015, 316, 586, 288, 343, 529, 815, 1496, 4649, 267, 5780, 267, 7597, 267, 7761, 267, 5952, 267, 10844, 267, 6200, 267, 4817, 267, 11025, 267, 4037, 2639, 2414, 5352, 519, 14649, 4729, 649, 1031, 6256, 540, 3009, 2630, 563, 5814, 21267, 28272, 607, 12301, 1535, 288, 343, 529, 815, 1496, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 267, 278, 267, 279, 267, 280, 267, 1015, 316, 586, 288, 343, 529, 815, 1496, 4649, 267, 5780, 267, 7597, 267, 7761, 267, 5952, 267, 10844, 267, 6200, 267, 4817, 267, 11025, 267, 4037, 316, 12301, 31892, 2660, 3287, 288, 343, 529, 11971, 288, 343, 529, 264, 12301, 20481, 4590, 763, 3009, 1657, 7024, 519, 1739, 14649, 4729, 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 ]
[ 519, 17877, 5399, 547, 1685, 6310, 9273, 269, 1284, 723, 3989, 3252, 547, 5173, 519, 18592, 543, 2627, 1858, 540, 513, 5858, 267, 543, 649, 723, 7318, 891, 3252, 609, 513, 8953, 540, 476, 272, 269, 769, 519, 1985, 3184, 267, 649, 786, 2263, 811, 4359, 3096, 540, 17877, 267, 1519, 3818, 8820, 14249, 543, 5119, 4238, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 5814, 11885, 607, 5286, 692, 3698, 5858, 6831, 1844, 636, 12401, 16868, 2187, 825, 5727, 288, 1599, 602, 21410, 519, 18592, 540, 513, 4963, 548, 609, 8953, 678, 12163, 825, 2132, 476, 273, 265, 12639, 32564, 265, 337, 692, 2745, 6262, 22511, 6831, 1844, 636, 12401, 263, 272, 11723, 3698, 5858, 5334, 16577, 16868, 2187, 825, 5727, 15132, 548, 5334, 16577, 16868, 264, 7024, 519, 2627, 540, 513, 5858, 540, 8953, 678, 12163, 825, 2132, 5286, 32564, 265, 337, 1262, 273, 692, 2745, 6262, 22511, 5334, 16577, 263, 272, 4917, 8199, 2237, 606, 3573, 543, 2143, 1837, 609, 19900, 1257, 543, 3009, 12612, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 930, 2596, 1702, 540, 519, 1641, 269, 476, 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, 25779, 14114, 686, 5034, 10500, 3305, 725, 910, 30205, 2659, 30151, 543, 28651, 1715, 1261, 2074, 692, 5970, 596, 2479, 4862, 519, 8360, 834, 332, 785, 936, 2339, 22172, 898, 1797, 602, 609, 519, 1318, 10182, 543, 1445, 267, 596, 666, 7753, 2591, 543, 3035, 1390, 1919, 269, 901, 2856, 568, 2523, 1271, 950, 621, 2501, 547, 5026, 899, 17281, 269, 2755, 2348, 2178, 1983, 543, 513, 1434, 26430, 616, 1898, 267, 1373, 15508, 5423, 666, 2285, 596, 513, 1483, 6316, 593, 519, 5480, 269, 2334, 781, 1141, 3804, 15129, 14751, 725, 2097, 883, 1404, 780, 1432, 3657, 25779, 14114, 686, 5034, 10500, 3305, 725, 888, 5785, 19030, 5331, 10213, 3054, 1945, 2318, 543, 16779, 1354, 606, 1271, 6474, 267, 971, 607, 834, 296, 993, 9350, 267, 8746, 267, 543, 5827, 540, 4730, 1250, 1655, 2221, 10590, 1452, 6898, 616, 1572, 14751, 725, 267, 543, 789, 666, 3648, 1860, 875, 1134, 596, 1685, 269, 1879, 596, 10956, 891, 3532, 1913, 267, 596, 1711, 513, 2631, 540, 1582, 1532, 601, 3971, 602, 2337, 596, 3068, 2591, 2212, 6823, 780, 763, 18903, 19992, 10500, 3305, 725, 454, 10900, 19030, 2691, 596, 2161, 1945, 14578, 267, 707, 2634, 6238, 547, 3494, 621, 269, 1635, 1210, 3804, 15129, 14751, 725, 267, 596, 1065, 5766, 1090, 707, 4555, 547, 1489, 707, 27606, 269, 1280, 1383, 267, 952, 596, 6560, 609, 13285, 1247, 7674, 267, 18110, 834, 7069, 5713, 616, 4977, 543, 5812, 257, 666, 6521, 707, 1445, 2476, 689, 4250, 543, 5196, 6015, 269, 3683, 942, 267, 596, 949, 1265, 602, 707, 1560, 5205, 9290, 267, 1818, 1346, 2899, 695, 21294, 5713, 811, 5730, 982, 2479, 780, 1692, 547, 8073, 13229, 10500, 3305, 725, 454, 5785, 21387, 2080, 616, 1614, 3268, 547, 4739, 2500, 267, 3804, 15129, 14751, 725, 1384, 2162, 5153, 476, 272, 281, 5590, 13068, 20505, 692, 24375, 676, 7114, 1018, 596, 1616, 547, 2087, 610, 9585, 269, 2142, 1808, 1107, 3079, 540, 6031, 834, 296, 1616, 547, 4196, 1732, 2437, 2119, 834, 296, 2832, 547, 5734, 476, 5952, 260, 540, 1250, 1101, 5713, 538, 1701, 11109, 2312, 6859, 2306, 621, 4443, 547, 1374, 4143, 14751, 725, 780, 2162, 5153, 476, 273, 281, 2422, 15474, 5678, 692, 20988, 707, 14751, 725, 9797, 267, 10771, 1018, 596, 798, 1616, 2864, 982, 1018, 596, 1810, 1405, 1616, 269, 5502, 540, 6031, 834, 296, 4465, 1405, 5595, 13337, 15042, 2437, 946, 834, 296, 9846, 2244, 1250, 1101, 5713, 3927, 1701, 5457, 267, 707, 2247, 20781, 1732, 547, 10575, 14823, 1893, 780, 2162, 5153, 476, 274, 281, 5269, 23067, 9608, 543, 10558, 692, 8196, 2123, 21770, 630, 324, 3052, 1421, 594, 267, 803, 264, 543, 2911, 827, 707, 3853, 607, 1498, 789, 616, 8345, 1631, 269, 28423, 538, 519, 1459, 13029, 1317, 707, 32436, 2247, 3085, 1405, 1174, 2104, 2621, 269, 4935, 267, 6031, 834, 296, 786, 1831, 513, 6793, 17281, 6345, 257, 3884, 1405, 607, 5363, 607, 834, 296, 993, 4742, 513, 6793, 17281, 6345, 1169, 1554, 3010, 288, 742, 3305, 725, 538, 11059, 454, 2411, 19567, 4131, 781, 4952, 1079, 1647, 1153, 17281, 5716, 267, 5981, 543, 16092, 269, 5637, 6560, 609, 8401, 1145, 1282, 13292, 267, 4929, 18894, 1027, 6959, 269, 1677, 8396, 713, 3390, 267, 1142, 5932, 513, 1305, 540, 3804, 15129, 14751, 725, 1759, 593, 519, 4808, 5018, 4505, 780, 20694, 1384, 265, 594, 3972, 8885, 547, 1404, 693, 1250, 5207, 1761, 563, 265, 3733, 2666, 560, 15809, 616, 11931, 543, 6325, 563, 265, 594, 2611, 7768, 896, 2604, 267, 7432, 14488, 883, 4316, 780, 297, 600, 773, 1384, 265, 5272, 8929, 594, 5734, 814, 3483, 543, 9837, 563, 265, 594, 9784, 2591, 543, 1451, 3407, 4245, 689, 873, 563, 265, 589, 576, 15833, 2095, 6923, 998, 803, 8164, 2877, 780, 3528, 6220, 891, 14751, 725, 883, 741, 840, 2173, 2255, 13467, 267, 1312, 5716, 1995, 2799, 1582, 12431, 4269, 543, 4824, 12644, 780, 7312, 12414, 281, 12861, 5295, 995, 10500, 3305, 725, 454, 14343, 7042, 3086, 621, 781, 707, 2490, 256, 6056, 827, 2127, 1141, 596, 1223, 4324, 689, 5818, 539, 6015, 267, 1287, 1246, 938, 2241, 3391, 547, 1020, 707, 1378, 3804, 15129, 14751, 725, 269, 2060, 2259, 267, 596, 1932, 666, 2972, 8476, 2790, 4222, 543, 3152, 10781, 593, 519, 5480, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 6701, 596, 513, 17281, 6345, 3168, 547, 1491, 707, 3014, 547, 519, 1985, 1377, 286, 3973, 596, 991, 547, 1376, 9878, 3007, 547, 707, 2790, 7041, 269, 10076, 32297, 568, 513, 2629, 3815, 538, 17281, 267, 543, 621, 666, 1611, 519, 3017, 1063, 10888, 543, 9561, 269, 769, 713, 2376, 267, 649, 786, 2263, 930, 4388, 543, 2994, 585, 15508, 8600, 585, 17281, 13292, 269, 3245, 14839, 2553, 547, 5883, 4160, 267, 649, 786, 3382, 3388, 596, 991, 547, 917, 547, 1205, 538, 519, 7997, 543, 1685, 693, 707, 1655, 593, 519, 5480, 269, 1924, 267, 17945, 707, 8322, 21103, 9395, 543, 1205, 4712, 547, 1491, 707, 2790, 3014, 547, 1007, 15627, 2336, 8139, 519, 11957, 540, 10076, 19369, 538, 570, 12447, 454, 3963, 10076, 19369, 25198, 538, 570, 12447, 454, 268, 10076, 7041, 4249, 513, 2629, 1909, 538, 519, 1967, 540, 513, 17281, 6345, 563, 268, 570, 12447, 13292, 616, 711, 1175, 2168, 733, 3949, 267, 855, 849, 2790, 12959, 563, 268, 634, 2247, 540, 513, 6345, 666, 723, 513, 1713, 1764, 593, 741, 2773, 267, 543, 1697, 2790, 7041, 666, 948, 873, 547, 6023, 519, 2604, 543, 3251, 5059, 1282, 555, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 7883, 531, 14114, 686, 5034, 10500, 3305, 725, 257, 607, 851, 540, 834, 306, 23852, 29803, 1315, 10500, 3305, 725, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 24414, 10158, 836, 28523, 4479, 454, 22706, 5426, 281, 5664, 3427, 630, 277, 628, 910, 476, 279, 628, 6103, 994, 20428, 281, 26353, 1315, 7489, 1315, 14913, 7489, 692, 8893, 11137, 912, 8702, 547, 938, 3460, 883, 519, 4241, 1158, 540, 24414, 10158, 836, 12470, 4479, 256, 901, 3504, 1148, 1106, 814, 1044, 19278, 9458, 585, 5553, 543, 6585, 1390, 2686, 4644, 538, 12868, 269, 1284, 3513, 2263, 519, 1686, 267, 3197, 267, 2575, 267, 543, 1818, 1184, 3297, 1259, 836, 12644, 269, 1635, 519, 1439, 540, 713, 1770, 267, 596, 3513, 2744, 513, 4514, 7071, 585, 713, 2757, 1148, 1106, 543, 1174, 1946, 621, 3788, 4143, 2221, 780, 8893, 476, 272, 281, 4985, 547, 10158, 836, 28523, 1115, 692, 265, 1548, 568, 10158, 836, 888, 310, 599, 836, 4016, 547, 2757, 14692, 14364, 1336, 2429, 12868, 269, 898, 10905, 9423, 267, 12416, 267, 2575, 267, 543, 3308, 6575, 269, 1703, 616, 1896, 2010, 540, 1259, 836, 282, 2705, 267, 649, 786, 1445, 5097, 593, 1412, 3118, 836, 737, 592, 527, 10086, 1500, 1210, 5704, 2299, 18705, 16463, 12470, 1115, 269, 1452, 6366, 267, 4745, 539, 5515, 616, 13556, 609, 6946, 3270, 543, 4778, 267, 1287, 4371, 1063, 513, 1769, 2707, 543, 513, 3043, 5496, 1141, 741, 20224, 2097, 9800, 780, 265, 16992, 1299, 9452, 6050, 454, 763, 2984, 5143, 1282, 1259, 836, 12644, 3335, 17589, 689, 9699, 3134, 923, 899, 10548, 27011, 543, 10067, 629, 9618, 1092, 269, 3962, 1915, 19299, 3982, 7592, 267, 24853, 267, 543, 4162, 267, 3850, 873, 547, 1796, 856, 1369, 519, 2773, 2230, 269, 6206, 5107, 1331, 12325, 267, 5636, 1622, 267, 804, 12495, 267, 10971, 267, 15831, 525, 267, 543, 25386, 7068, 269, 3414, 7544, 6438, 5322, 267, 891, 3197, 4497, 538, 12959, 267, 32741, 267, 635, 12203, 267, 543, 9035, 780, 12244, 281, 3194, 2442, 1259, 836, 3197, 2228, 543, 17250, 707, 4528, 540, 835, 5172, 5869, 543, 835, 5172, 5636, 664, 269, 22443, 741, 1883, 2168, 10305, 543, 7802, 3877, 780, 8893, 476, 273, 281, 19992, 519, 2480, 25333, 1107, 10435, 10158, 836, 28523, 1115, 692, 265, 10049, 1299, 9828, 454, 25565, 1259, 836, 12470, 1115, 2874, 540, 5402, 5701, 12015, 10889, 14900, 12404, 7923, 547, 19348, 16853, 585, 12879, 269, 3203, 24326, 5862, 1950, 18305, 5196, 519, 2627, 1210, 2067, 24470, 6508, 689, 2371, 543, 6886, 269, 4495, 21243, 267, 9475, 616, 5309, 3481, 2059, 519, 4137, 781, 8728, 865, 8279, 666, 19542, 998, 950, 7900, 780, 265, 9457, 14958, 14588, 963, 454, 17730, 513, 2582, 1259, 836, 12470, 564, 3340, 11108, 5578, 543, 11428, 269, 3509, 5159, 6108, 1296, 1565, 896, 4810, 18544, 1354, 4742, 21295, 2933, 269, 2561, 1370, 1182, 1451, 1585, 2553, 971, 607, 5969, 267, 7206, 267, 543, 5569, 532, 519, 12470, 1115, 1247, 21716, 3140, 2796, 543, 10952, 10752, 2404, 609, 1259, 836, 2245, 780, 12244, 281, 5071, 513, 2241, 1259, 836, 12470, 564, 7291, 593, 3556, 18450, 1957, 269, 5410, 16560, 2609, 6273, 676, 1382, 827, 808, 24170, 3150, 10627, 1731, 3270, 610, 7195, 4042, 20955, 269, 12338, 856, 707, 1374, 543, 8936, 12673, 585, 3350, 269, 6657, 3001, 707, 12470, 564, 781, 17873, 547, 1711, 2596, 3527, 780, 8893, 476, 274, 281, 8535, 1299, 13437, 692, 265, 717, 14712, 534, 2107, 3832, 14259, 454, 16914, 558, 11952, 532, 519, 32538, 543, 5188, 540, 1259, 836, 4249, 568, 13708, 601, 534, 2575, 12544, 25576, 15664, 2861, 26254, 10023, 12669, 2684, 2158, 267, 1535, 2643, 2684, 2158, 267, 27120, 267, 575, 29330, 267, 543, 3006, 1166, 2373, 610, 5569, 7405, 269, 4053, 5974, 1246, 10291, 3177, 676, 546, 531, 836, 630, 335, 6269, 564, 17621, 1070, 14577, 32171, 267, 4320, 267, 543, 23260, 2687, 547, 519, 10565, 2962, 11200, 532, 593, 31653, 780, 265, 10020, 540, 18243, 836, 454, 2026, 1312, 7376, 543, 1685, 518, 267, 519, 546, 531, 836, 12981, 4099, 3942, 1282, 513, 1259, 836, 1397, 269, 1358, 1852, 1169, 2460, 540, 2504, 1519, 9117, 9739, 267, 13465, 19929, 267, 4730, 7574, 7405, 267, 543, 5883, 8654, 2360, 269, 4787, 2683, 546, 531, 836, 338, 25407, 9458, 609, 8903, 9423, 1983, 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 ]
[ 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 8080, 547, 12426, 3562, 6874, 762, 22878, 256, 5620, 596, 2479, 2219, 827, 1141, 707, 1426, 2501, 689, 1354, 621, 3338, 593, 707, 6676, 286, 901, 1826, 540, 10344, 6212, 593, 13830, 2592, 540, 4195, 3132, 543, 5820, 21433, 2047, 689, 11396, 543, 6705, 262, 6990, 269, 898, 781, 782, 827, 15386, 519, 3460, 540, 1426, 689, 922, 5169, 547, 707, 3349, 269, 2913, 781, 2263, 713, 8949, 6249, 1927, 2439, 5575, 267, 1577, 781, 1174, 1018, 3484, 3562, 2389, 762, 1797, 269, 5994, 9683, 513, 7404, 3484, 267, 16116, 22691, 5613, 543, 5388, 267, 1287, 8744, 873, 1753, 547, 3434, 513, 26345, 7594, 269, 2334, 781, 519, 9759, 540, 3484, 3562, 2389, 762, 1765, 576, 14896, 908, 12725, 6738, 267, 4195, 267, 543, 12119, 5820, 1247, 5885, 6237, 6705, 543, 4213, 780, 3086, 267, 1946, 1131, 649, 1616, 547, 8523, 938, 1426, 3460, 286, 4270, 267, 2921, 5961, 540, 1142, 1900, 666, 948, 721, 5660, 1169, 11116, 811, 256, 9578, 267, 621, 781, 1187, 547, 3561, 938, 11477, 9035, 543, 2671, 873, 609, 2828, 543, 1920, 269, 1924, 10544, 707, 8254, 610, 16335, 267, 543, 1577, 781, 4685, 883, 930, 17705, 3584, 2439, 272, 269, 24531, 10871, 10787, 916, 543, 29714, 454, 6524, 2879, 6260, 1022, 6337, 267, 3643, 513, 2199, 3484, 610, 2212, 547, 513, 6705, 262, 2344, 269, 18918, 609, 7874, 23965, 267, 2307, 2055, 827, 741, 17008, 267, 543, 2824, 7524, 267, 10477, 3132, 269, 5901, 606, 3750, 856, 585, 2189, 3688, 543, 4277, 2984, 3297, 519, 2472, 269, 1452, 4296, 786, 10802, 707, 8666, 3126, 2336, 273, 269, 1290, 19397, 2480, 21329, 12426, 1744, 1824, 454, 5629, 693, 519, 3484, 610, 2344, 267, 1376, 676, 21882, 2647, 15833, 602, 7001, 519, 5898, 540, 519, 4087, 269, 2422, 2067, 1769, 950, 2009, 267, 543, 2119, 1114, 7285, 547, 1039, 3178, 543, 1719, 269, 5457, 547, 1246, 891, 2241, 4388, 912, 265, 14329, 540, 774, 8674, 281, 19147, 707, 7406, 883, 8370, 3160, 2694, 1210, 1079, 8449, 22274, 8880, 3515, 543, 1079, 8449, 22274, 7299, 3515, 269, 9255, 1883, 2609, 2059, 1346, 3515, 610, 693, 28963, 585, 7059, 15885, 563, 265, 31327, 20514, 281, 22982, 10092, 267, 31966, 267, 9343, 540, 7031, 267, 610, 824, 5276, 2934, 547, 3391, 13588, 262, 4064, 4724, 1271, 5396, 1369, 519, 6429, 563, 274, 269, 12650, 1005, 966, 2320, 656, 21277, 576, 5800, 20137, 454, 7476, 909, 2673, 543, 2123, 609, 1367, 4773, 540, 4829, 267, 19787, 267, 11922, 267, 543, 5810, 269, 19130, 519, 7406, 609, 4778, 267, 5546, 267, 543, 18282, 547, 8661, 2470, 781, 29667, 344, 269, 6333, 14577, 1445, 267, 4598, 267, 543, 3043, 3666, 5468, 547, 5031, 1808, 3877, 543, 30181, 563, 275, 269, 11657, 532, 19369, 17778, 454, 12988, 1753, 267, 12225, 1834, 519, 1184, 540, 7432, 6151, 5820, 883, 32727, 696, 1190, 8286, 269, 10965, 777, 533, 923, 540, 11067, 267, 14299, 4771, 267, 11544, 267, 543, 5986, 2553, 269, 10312, 593, 3946, 15025, 609, 1426, 267, 27022, 267, 26633, 267, 543, 10051, 2645, 269, 15331, 609, 3860, 8654, 1305, 5725, 547, 18427, 5790, 543, 7553, 563, 276, 269, 10558, 532, 631, 1926, 22476, 15937, 15733, 454, 7661, 267, 1491, 5323, 565, 2914, 20564, 11147, 540, 707, 6192, 6980, 256, 13910, 10824, 7376, 1227, 267, 4946, 21959, 8460, 543, 605, 1186, 547, 3986, 3308, 9029, 269, 7591, 1472, 609, 13719, 3178, 540, 2361, 267, 12550, 12331, 267, 543, 1585, 5380, 547, 11168, 632, 937, 1464, 269, 1656, 1810, 1405, 7340, 547, 2973, 707, 7828, 1354, 15246, 547, 2327, 12627, 2312, 2164, 2336, 277, 269, 4354, 908, 2659, 17421, 9452, 454, 15675, 519, 1655, 2592, 689, 707, 4015, 267, 543, 6582, 873, 538, 513, 9266, 5311, 602, 6645, 519, 1650, 540, 707, 3484, 3562, 2389, 762, 7045, 269, 5410, 3061, 687, 10503, 1713, 8090, 267, 1004, 1558, 267, 543, 4245, 4121, 2429, 519, 1995, 269, 9523, 707, 3803, 1788, 23217, 609, 15032, 267, 3610, 267, 543, 1920, 2818, 2439, 3528, 3695, 12426, 3562, 6874, 762, 22878, 267, 596, 4312, 24389, 593, 513, 17175, 3460, 14120, 1483, 1426, 543, 2146, 4296, 269, 8414, 15246, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 263, 8923, 4063, 1082, 540, 519, 6402, 2630, 616, 24988, 6402, 543, 594, 3580, 7118, 513, 10243, 952, 596, 6300, 998, 873, 269, 2368, 616, 24988, 6402, 543, 594, 786, 711, 7118, 862, 3827, 899, 519, 3911, 1872, 300, 1872, 3095, 269, 594, 6557, 4687, 621, 1317, 602, 568, 519, 1152, 1259, 585, 596, 547, 1205, 513, 10958, 593, 513, 1007, 2272, 269, 11524, 616, 513, 585, 803, 547, 3950, 1317, 594, 899, 1239, 28593, 6624, 540, 596, 917, 594, 4383, 519, 24988, 1982, 585, 595, 3433, 2809, 2593, 269, 2334, 1797, 594, 1205, 547, 960, 609, 15813, 1543, 12696, 689, 5816, 7970, 547, 1411, 307, 889, 619, 267, 543, 594, 849, 1205, 547, 2911, 547, 1507, 1870, 5411, 945, 1711, 10865, 11353, 540, 8788, 585, 741, 32224, 563, 26950, 281, 11403, 630, 32451, 7043, 5213, 1406, 21763, 547, 3367, 264, 1107, 4787, 760, 547, 519, 16886, 1592, 2630, 543, 979, 547, 519, 3296, 4143, 547, 707, 13395, 269, 1411, 3580, 1451, 875, 547, 2707, 1587, 610, 1205, 2093, 547, 1711, 707, 1378, 20478, 4216, 543, 20478, 3028, 563, 763, 4216, 5411, 1225, 622, 10865, 15004, 609, 3388, 689, 2199, 543, 3486, 3536, 547, 3214, 13492, 267, 2520, 2131, 543, 6752, 10833, 267, 13241, 543, 3872, 20164, 267, 2835, 609, 7317, 13344, 547, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 293, 1301, 3562, 6874, 762, 22878, 257, 607, 851, 540, 834, 15771, 5588, 24209, 1315, 23527, 1299, 21771, 1315, 5253, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 4495, 2390, 513, 942, 538, 513, 1507, 8498, 1572, 918, 12685, 8643, 267, 972, 729, 513, 8797, 2025, 17707, 3957, 4432, 2742, 269, 2701, 6068, 1565, 1007, 1919, 543, 4687, 1200, 1702, 609, 782, 519, 2831, 538, 519, 4104, 269, 1717, 267, 1352, 8068, 602, 930, 540, 519, 7820, 2831, 941, 10010, 538, 1153, 1317, 789, 4769, 1405, 723, 2614, 2835, 610, 1697, 13460, 780, 14976, 2742, 4956, 547, 3343, 948, 689, 606, 3486, 3919, 1572, 3798, 293, 12188, 267, 1634, 585, 5885, 2069, 5001, 269, 2060, 519, 5698, 1063, 4432, 2742, 543, 3798, 293, 12188, 267, 8748, 2242, 3459, 8345, 538, 918, 12685, 8643, 2439, 10955, 293, 12188, 3177, 2883, 1489, 676, 4758, 2724, 547, 1628, 1007, 13460, 267, 7816, 8697, 3283, 267, 543, 4444, 6266, 540, 1007, 2835, 269, 901, 1500, 519, 1053, 1360, 6126, 267, 543, 789, 7948, 1405, 7227, 547, 1376, 2542, 543, 1565, 811, 1142, 1554, 780, 9202, 267, 4432, 2742, 543, 3798, 293, 12188, 5249, 1927, 593, 4390, 2679, 1765, 3559, 4771, 519, 2199, 3610, 1451, 1007, 2081, 547, 4001, 3078, 4245, 269, 11334, 899, 700, 7637, 23193, 612, 543, 18581, 3933, 4486, 13984, 2027, 11925, 1141, 789, 4121, 875, 547, 946, 2984, 267, 3756, 267, 543, 6901, 547, 1118, 1565, 1256, 811, 1187, 2439, 2026, 3025, 12306, 883, 741, 4824, 1153, 13467, 267, 1945, 6397, 5949, 269, 589, 15265, 7088, 25626, 998, 918, 12685, 8643, 267, 21006, 1082, 540, 519, 9241, 3710, 13460, 256, 15526, 729, 8909, 543, 14126, 267, 11842, 1018, 1131, 4755, 1985, 780, 3719, 1287, 267, 4432, 2742, 15422, 1776, 1259, 3798, 293, 12188, 1223, 948, 281, 1382, 543, 6268, 269, 8625, 267, 789, 6594, 1946, 519, 5656, 1185, 1044, 10032, 865, 789, 1223, 1265, 513, 3070, 269, 17652, 2614, 267, 789, 4362, 513, 1826, 540, 3529, 602, 729, 2178, 543, 8465, 2614, 547, 5706, 10792, 12798, 543, 5230, 22856, 269, 4635, 891, 4054, 607, 4070, 1570, 267, 519, 27142, 32206, 741, 3506, 6793, 982, 2479, 1354, 2439, 1103, 519, 1439, 267, 4352, 519, 7088, 4547, 10151, 22303, 267, 519, 1004, 540, 918, 12685, 8643, 4121, 3407, 4245, 827, 16542, 543, 6043, 269, 1656, 1034, 11932, 267, 7064, 547, 519, 11450, 1063, 4432, 2742, 543, 3798, 293, 12188, 267, 1169, 3662, 1631, 1185, 1569, 547, 2298, 2069, 267, 4259, 519, 3942, 585, 9118, 2104, 3621, 23484, 543, 2123, 2208, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 22081, 798, 3486, 3872, 3906, 12840, 609, 2199, 7855, 547, 2087, 3872, 3255, 585, 1453, 888, 17220, 3872, 3906, 12840, 609, 2199, 7855, 538, 1896, 2081, 547, 2087, 3872, 3255, 585, 1453, 267, 799, 1331, 1384, 272, 269, 21278, 11038, 8081, 281, 4139, 3872, 3906, 1683, 2883, 6351, 543, 5351, 547, 2199, 3506, 543, 3906, 547, 948, 873, 2087, 3872, 6703, 267, 6718, 1153, 2326, 267, 543, 16926, 11727, 3610, 780, 273, 269, 27519, 8490, 281, 1358, 2709, 2866, 543, 4390, 2679, 3292, 547, 2199, 7855, 543, 3610, 547, 3986, 741, 1983, 267, 3450, 2553, 267, 543, 2949, 3450, 7145, 780, 274, 269, 15099, 4886, 281, 4139, 3872, 3906, 12840, 609, 2199, 7855, 547, 1020, 543, 2936, 19593, 592, 4548, 602, 616, 4143, 547, 519, 8795, 2115, 543, 7569, 540, 1114, 4525, 780, 275, 269, 3194, 543, 16214, 281, 1358, 2932, 1382, 547, 1732, 896, 560, 320, 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, 769, 519, 5318, 5251, 540, 5339, 9880, 267, 972, 6818, 513, 3638, 18916, 540, 14172, 6131, 547, 3695, 519, 6041, 543, 5250, 540, 14447, 543, 24139, 9163, 1369, 3332, 269, 901, 1576, 1770, 786, 5490, 883, 519, 1950, 1158, 540, 24139, 3961, 5250, 267, 16439, 922, 5072, 538, 3140, 543, 2686, 8658, 1247, 6313, 4207, 7215, 540, 1582, 3125, 998, 519, 7828, 540, 5339, 2079, 269, 2311, 519, 2295, 540, 938, 7634, 6013, 519, 18803, 2943, 3532, 31074, 281, 519, 24139, 3983, 613, 269, 1306, 513, 14984, 3090, 540, 11348, 267, 17604, 267, 543, 4187, 267, 519, 3983, 613, 5713, 607, 513, 5905, 7723, 585, 938, 6514, 540, 875, 24139, 9163, 723, 1044, 9112, 267, 29653, 267, 543, 9976, 2429, 1686, 780, 2414, 7832, 2390, 713, 3460, 267, 621, 781, 1898, 1101, 547, 3715, 513, 2324, 4214, 540, 1018, 13054, 513, 24139, 3961, 269, 2755, 4638, 10066, 949, 2408, 547, 581, 513, 3551, 1523, 267, 5640, 971, 607, 23436, 631, 269, 27339, 630, 1220, 276, 264, 8044, 602, 621, 568, 2484, 811, 5714, 982, 5892, 5156, 267, 8032, 676, 1312, 6211, 19753, 21752, 543, 2825, 2188, 269, 1280, 938, 5301, 267, 649, 4927, 5581, 513, 24139, 3961, 607, 513, 4807, 945, 2833, 11509, 543, 5924, 4638, 16007, 14311, 547, 824, 2021, 267, 14344, 602, 713, 6609, 1281, 711, 7001, 519, 2407, 8552, 540, 2833, 7854, 539, 1369, 519, 2165, 780, 16352, 3964, 513, 5748, 267, 1577, 721, 1631, 2490, 938, 3007, 547, 519, 8129, 540, 519, 24139, 3983, 613, 267, 799, 616, 7184, 23091, 609, 519, 6626, 11806, 266, 2924, 3350, 269, 634, 11944, 540, 891, 6698, 666, 581, 14360, 1394, 547, 519, 31341, 6681, 5736, 540, 519, 476, 3422, 271, 338, 543, 1412, 3583, 338, 950, 12790, 2950, 1336, 741, 9739, 9624, 7839, 6848, 30331, 10052, 269, 898, 729, 1282, 713, 1974, 602, 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 ]
[ 476, 649, 616, 8429, 2407, 1239, 607, 2934, 543, 1100, 10297, 616, 5293, 692, 3913, 321, 815, 21714, 301, 289, 10797, 4310, 6958, 324, 2137, 476, 815, 22373, 303, 5035, 20350, 4449, 476, 834, 16303, 318, 30236, 539, 20350, 4449, 476, 834, 21848, 20350, 4449, 476, 834, 306, 756, 8967, 20350, 4449, 8587, 834, 303, 1105, 20350, 4449, 8587, 834, 293, 732, 20350, 4449, 8587, 834, 21615, 1046, 539, 318, 30236, 539, 257, 6540, 13376, 1948, 834, 20776, 341, 1882, 257, 804, 537, 19282, 568, 1031, 585, 21458, 563, 4449, 13872, 3913, 321, 32265, 6600, 324, 2137, 17601, 314, 4310, 6958, 324, 2137, 4940, 11161, 267, 1948, 2934, 616, 5293, 3097, 1038, 2934, 17601, 9131, 20776, 341, 1882, 262, 4940, 11161, 1948, 10297, 568, 5293, 454, 1038, 25589, 18350, 1564, 28177, 815, 28594, 321, 4877, 9438, 6600, 324, 2137, 15305, 314, 4310, 6958, 324, 2137, 8079, 4449, 13872, 4449, 13872, 258, 10435, 519, 4762, 4288, 19336, 454, 5228, 28189, 269, 5471, 7879, 1104, 10539, 24624, 454, 9492, 318, 3913, 321, 815, 10539, 24624, 6600, 324, 2137, 15305, 14277, 20776, 341, 1882, 257, 3910, 10297, 28177, 994, 2745, 6262, 332, 318, 3913, 321, 994, 20594, 1262, 20330, 314, 314, 14690, 476, 476, 4391, 2639, 1496, 476, 5325, 476, 476, 4200, 316, 6540, 2745, 9230, 14690, 266, 4200, 19422, 14690, 266, 4391, 266, 5325, 266, 4200, 4297, 1948, 476, 271, 269, 10602, 692, 5785, 5785, 5785, 734, 454, 258, 5564, 514, 574, 658, 23990, 780, 19282, 321, 815, 5564, 30796, 301, 289, 10797, 4310, 6958, 324, 2137, 815, 314, 692, 825, 834, 303, 5035, 20350, 825, 834, 16303, 318, 30236, 539, 20350, 825, 834, 21848, 20350, 825, 834, 306, 756, 8967, 20350, 825, 834, 303, 1105, 20350, 825, 834, 293, 732, 20350, 825, 834, 21615, 1046, 539, 318, 30236, 539, 4840, 825, 454, 6540, 258, 21541, 29976, 454, 19282, 321, 32265, 18692, 825, 2934, 17601, 314, 4310, 6958, 324, 2137, 4940, 11161, 2676, 825, 2934, 17601, 14277, 20776, 341, 1882, 257, 4940, 11161, 454, 994, 18350, 1564, 28177, 815, 544, 333, 321, 4877, 9438, 6600, 324, 2137, 15305, 314, 4310, 6958, 324, 2137, 20285, 258, 10435, 519, 4762, 4288, 19336, 454, 5228, 28189, 269, 5471, 7879, 1104, 10539, 24624, 454, 9492, 8548, 333, 321, 815, 10539, 24624, 6600, 324, 2137, 15305, 14277, 20776, 341, 1882, 257, 3910, 10297, 28177, 994, 2745, 6262, 332, 8548, 333, 321, 994, 20594, 12533, 314, 314, 10204, 476, 476, 6078, 2639, 1496, 476, 6507, 476, 476, 7597, 316, 6540, 2745, 9230, 10204, 266, 7597, 19422, 10204, 266, 6078, 266, 6507, 266, 7597, 4297, 1948, 476, 271, 269, 5780, 692, 5785, 5785, 5785, 8894, 258, 4446, 333, 10008, 23990, 780, 16818, 321, 815, 12672, 537, 25651, 301, 289, 4590, 4310, 6958, 324, 2137, 815, 314, 692, 825, 834, 303, 5035, 20350, 825, 834, 16303, 318, 30236, 539, 20350, 825, 834, 21848, 20350, 825, 834, 306, 756, 8967, 20350, 825, 834, 303, 1105, 20350, 825, 834, 293, 732, 20350, 825, 834, 21615, 1046, 539, 318, 30236, 539, 4840, 825, 454, 6540, 258, 21541, 29976, 454, 16818, 321, 32265, 18692, 825, 2934, 17601, 314, 4310, 6958, 324, 2137, 4940, 11161, 2676, 825, 2934, 17601, 14277, 20776, 341, 1882, 31116, 994, 18350, 1564, 28177, 815, 536, 333, 321, 4877, 9438, 6600, 324, 2137, 15305, 314, 4310, 6958, 324, 2137, 20285, 258, 10435, 519, 4762, 4288, 19336, 454, 5228, 28189, 269, 5471, 7879, 1104, 10539, 24624, 454, 9492, 10734, 333, 321, 815, 10539, 24624, 6600, 324, 2137, 15305, 14277, 20776, 341, 1882, 257, 3910, 10297, 28177, 994, 2745, 6262, 332, 10734, 333, 321, 994, 20594, 7052, 1262, 20330, 314, 314, 14321, 476, 476, 4366, 2639, 1496, 476, 5655, 476, 10441, 316, 6540, 2745, 9230, 14321, 266, 10441, 19422, 14321, 266, 4366, 266, 5655, 266, 10441, 4297, 1948, 476, 271, 269, 10619, 19638, 692, 7531 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4009, 6279, 1818, 1287, 4998, 585, 1753, 22254, 563, 4002, 519, 14669, 267, 1215, 798, 596, 1118, 513, 19558, 4577, 5843, 13582, 888, 1103, 1840, 547, 267, 1772, 621, 1732, 547, 1332, 2890, 26572, 839, 538, 3037, 610, 1216, 888, 19859, 26572, 839, 616, 513, 3905, 1888, 538, 713, 7521, 2094, 789, 2811, 19122, 865, 4166, 1310, 23286, 269, 634, 3355, 2208, 1184, 568, 2629, 282, 519, 1655, 2208, 1505, 568, 540, 519, 25932, 2956, 269, 1411, 1058, 1332, 2890, 26572, 839, 538, 3037, 267, 607, 10353, 547, 19558, 9582, 563, 2710, 19558, 4577, 2890, 26572, 839, 991, 13226, 888, 19859, 26572, 839, 1810, 1405, 991, 13226, 610, 11003, 21187, 267, 855, 789, 798, 1332, 5488, 267, 4514, 11954, 267, 543, 3677, 28422, 344, 1194, 976, 1299, 3762, 950, 6992, 1242, 269, 9540, 518, 5452, 723, 1447, 4835, 1648, 543, 5567, 982, 1804, 5452, 267, 543, 7048, 811, 593, 5567, 538, 741, 3395, 23447, 630, 4248, 610, 19558, 4577, 1916, 16665, 7726, 585, 2052, 1411, 22320, 5843, 26572, 839, 10281, 1886, 517, 1227, 888, 1692, 1419, 798, 596, 1216, 19558, 4577, 2890, 26572, 839, 888, 1692, 1419, 2890, 26572, 839, 991, 547, 581, 530, 23926, 5673, 593, 519, 1505, 1031, 547, 1332, 873, 269, 1358, 666, 581, 6738, 538, 3037, 610, 998, 519, 19558, 4577, 1505, 269, 1717, 267, 513, 1434, 4341, 540, 14853, 568, 547, 1216, 873, 1169, 835, 547, 1079, 2395, 610, 950, 519, 13897, 610, 3395, 14950, 6238, 547, 1745, 3819, 563, 1432, 2186, 540, 1216, 798, 596, 946, 585, 2890, 26572, 839, 888, 16032, 943, 585, 14450, 2890, 26572, 839, 454, 19859, 26572, 839, 3622, 1332, 1655, 538, 513, 5594, 15755, 1604, 267, 602, 781, 513, 9063, 1063, 476, 277, 543, 476, 277, 269, 276, 269, 1358, 666, 7639, 538, 519, 2039, 540, 476, 276, 269, 276, 547, 476, 278, 855, 4782, 519, 7522, 518, 267, 3592, 9243, 2039, 269, 13281, 707, 1216, 568, 2653, 267, 596, 3513, 991, 513, 9063, 512, 6856, 14816, 282, 621, 786, 1397, 596, 519, 9063, 540, 707, 1216, 563, 2710, 594, 991, 3037, 547, 1332, 2890, 26572, 839, 888, 293, 6136, 267, 519, 2626, 568, 9811, 269, 5843, 26572, 839, 616, 19122, 865, 2038, 538, 741, 1646, 602, 789, 1810, 1405, 991, 3037, 610, 1256, 8770, 3070, 269, 901, 2306, 873, 4998, 952, 596, 1810, 1405, 723, 519, 2230, 585, 11435, 540, 29238, 3575, 543, 4782, 711, 547, 4308, 609, 519, 2973, 5725, 563, 1692, 798, 596, 1332, 2890, 26572, 839, 689, 19558, 4577, 22282, 888, 1432, 5567, 798, 2890, 26572, 839, 991, 888, 2171, 2303, 1210, 2901, 10897, 558, 924, 267, 513, 10250, 7777, 13226, 267, 610, 513, 1216, 30320, 13226, 971, 607, 267, 7579, 320, 294, 549, 269, 5637, 1683, 1898, 5567, 547, 707, 19155, 11652, 538, 713, 2013, 267, 707, 2890, 26572, 839, 28559, 789, 616, 4294, 1210, 1114, 2409, 563, 1432, 568, 519, 3017, 1063, 2890, 26572, 839, 543, 28667, 888, 2414, 2040, 621, 909, 267, 1934, 616, 519, 3604, 1063, 2890, 26572, 839, 543, 28667, 281, 5843, 26572, 839, 616, 6738, 538, 3037, 282, 28667, 10351, 3729, 538, 1216, 269, 634, 3762, 543, 11710, 540, 2890, 26572, 839, 666, 581, 13881, 282, 519, 968, 980, 892, 543, 6079, 540, 28667, 666, 581, 13881, 269, 5843, 26572, 839, 616, 14095, 609, 8137, 543, 616, 1419, 1031, 607, 21959, 8460, 282, 28667, 616, 1390, 585, 454, 1692, 666, 594, 1332, 2890, 26572, 839, 693, 1753, 1510, 3037, 888, 3674, 829, 29411, 1434, 585, 2890, 26572, 839, 888, 8110, 29411, 6411, 607, 513, 1390, 19605, 547, 13557, 5214, 2326, 602, 4043, 547, 3180, 1216, 1134, 267, 607, 621, 16881, 12775, 543, 1569, 547, 5135, 269, 2353, 540, 519, 1655, 3037, 30012, 585, 3395, 2890, 26572, 839, 602, 594, 4312, 1031, 723, 8659, 513, 5934, 540, 476, 1015, 260, 829, 29411, 269, 7743, 3597, 513, 3130, 568, 2629, 585, 519, 2635, 2208, 540, 707, 2890, 26572, 839, 563, 1692, 798, 596, 10322, 559, 1125, 2890, 26572, 839, 888, 24078, 713, 5363, 888, 271, 1315, 476, 271 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 554, 1731, 619, 286, 4270, 267, 4952, 6972, 2059, 18932, 3039, 30917, 1247, 575, 5074, 693, 22107, 8172, 1216, 17517, 838, 3739, 883, 519, 2620, 4544, 5836, 2630, 269, 16514, 3054, 10188, 7522, 10092, 20077, 856, 540, 27726, 4224, 21272, 610, 31939, 6362, 2066, 5318, 6676, 9476, 12297, 1540, 609, 13265, 21737, 25678, 269, 16319, 5863, 267, 1318, 286, 2334, 781, 1175, 513, 6492, 540, 1018, 19179, 1080, 596, 593, 519, 10787, 334, 3150, 19482, 18162, 2439, 3086, 267, 1577, 781, 4685, 883, 930, 1808, 18162, 602, 13686, 519, 1655, 540, 519, 10787, 4141, 11866, 262, 2067, 5898, 1384, 272, 269, 2878, 300, 14243, 331, 2378, 1601, 584, 4826, 6420, 20417, 5093, 901, 2653, 13009, 5012, 596, 547, 519, 11599, 631, 14243, 331, 2378, 1601, 584, 4826, 6420, 267, 799, 32168, 525, 13497, 1055, 513, 29384, 883, 519, 9533, 7909, 269, 13966, 519, 1259, 267, 2972, 27789, 5784, 540, 519, 7404, 8498, 540, 717, 27222, 611, 531, 584, 543, 27653, 538, 519, 32668, 5605, 4800, 540, 713, 6552, 7944, 540, 519, 6532, 563, 273, 269, 2878, 298, 718, 584, 700, 30224, 20417, 5093, 28210, 593, 918, 10193, 344, 6816, 267, 713, 9793, 7411, 13009, 3217, 596, 547, 519, 9159, 918, 718, 584, 700, 30224, 829, 3481, 3348, 926, 3585, 593, 513, 29384, 6316, 269, 2142, 5423, 547, 14952, 693, 13021, 10125, 1666, 6362, 593, 519, 24528, 543, 1491, 538, 31858, 25271, 642, 626, 553, 540, 15231, 10195, 563, 274, 269, 2878, 20228, 19508, 1777, 541, 520, 785, 584, 27169, 20417, 5093, 1306, 519, 5207, 8445, 538, 519, 10787, 3996, 267, 6215, 19508, 1777, 541, 520, 785, 584, 3091, 4101, 14099, 585, 4810, 554, 1731, 619, 3168, 547, 20630, 922, 21895, 630, 6434, 273, 7397, 1040, 3245, 519, 1283, 267, 7198, 10265, 1673, 549, 6137, 476, 11740, 4113, 5784, 21214, 782, 29933, 10195, 2336, 275, 269, 2878, 309, 652, 2006, 3534, 16819, 1849, 14554, 5093, 1280, 1346, 945, 2648, 6177, 342, 10248, 267, 7832, 593, 513, 10935, 7552, 4553, 676, 513, 2110, 30382, 547, 2263, 519, 966, 652, 2006, 3534, 16819, 1849, 14554, 31523, 609, 25858, 1231, 267, 1368, 4068, 332, 1824, 267, 986, 345, 12643, 1571, 267, 543, 811, 269, 5901, 707, 4064, 22019, 539, 585, 22488, 20910, 8389, 5585, 532, 538, 519, 4478, 7297, 1932, 2439, 6524, 4259, 3723, 593, 1022, 13009, 267, 621, 781, 1898, 547, 3640, 14013, 543, 1246, 3106, 4808, 269, 667, 816, 27145, 538, 6106, 267, 5957, 19756, 19482, 25192, 267, 4163, 513, 4786, 267, 22315, 267, 543, 15870, 3926, 267, 3251, 19872, 267, 543, 2141, 2638, 2199, 4365, 2175, 1354, 5887, 1005, 856, 269, 898, 781, 849, 2629, 547, 2463, 2470, 543, 4734, 1100, 10250, 3297, 1282, 707, 9035, 780, 295, 10884, 519, 10787, 4141, 11866, 2636, 596, 547, 1921, 7184, 609, 29814, 19069, 2127, 267, 7237, 2189, 7320, 267, 543, 23365, 3054, 538, 513, 4241, 2528, 14869, 539, 538, 2245, 543, 10828, 269, 1924, 10544, 707, 30618, 267, 17063, 707, 10887, 267, 543, 1205, 4712, 585, 606, 12473, 3460, 899, 1100, 824, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 26524, 6168, 16862, 585, 9972, 2951, 6840, 476, 276, 1296, 3516, 634, 3771, 13118, 538, 10515, 32683, 5999, 6168, 16862, 281, 634, 17046, 6651, 585, 18947, 13488, 6840, 1323, 4165, 760, 1712, 534, 2951, 2754, 7674, 1158, 2951, 6840, 2094, 476, 2735, 274, 4864, 476, 1001, 280, 476, 273, 25008, 1224, 18248, 267, 16862, 267, 2342, 5999, 827, 16862, 585, 9972, 2951, 6840, 269, 31660, 13488, 2401, 2027, 2478, 538, 13167, 20605, 2833, 585, 9972, 543, 9921, 27070, 2951, 6840, 5461, 538, 1565, 2436, 607, 513, 7008, 610, 21088, 2951, 2401, 269, 21278, 7045, 543, 3872, 3292, 547, 26603, 9285, 1507, 1895, 19150, 2094, 476, 2735, 274, 269, 31660, 814, 3710, 909, 513, 10257, 1702, 4871, 547, 2626, 2055, 827, 16862, 602, 2951, 6840, 616, 2693, 547, 2307, 267, 607, 789, 1118, 741, 4566, 547, 4663, 10446, 267, 610, 609, 721, 607, 851, 540, 513, 1507, 1895, 4663, 269, 1284, 4126, 602, 713, 1592, 540, 4749, 4280, 2055, 543, 519, 4267, 649, 1683, 786, 948, 596, 609, 4058, 707, 1985, 9702, 269, 3367, 593, 267, 855, 5225, 798, 711, 19292, 547, 3346, 721, 3842, 519, 3896, 267, 610, 998, 4757, 610, 10004, 952, 596, 554, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 763, 10787, 4141, 11866, 262, 670, 10884, 3004, 2812, 257, 607, 851, 540, 834, 307, 30728, 1315, 2342, 1315, 29735, 18831, 1315, 19360, 1299, 23529, 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, 7170, 281, 4197, 1160, 8063, 9435, 281, 15486, 267, 12580, 267, 543, 32192, 692, 7072, 912, 20756, 972, 256, 5620, 596, 2479, 4862, 827, 2860, 286, 898, 781, 513, 2068, 602, 5540, 1082, 1004, 1472, 519, 1158, 269, 4653, 267, 649, 786, 1451, 827, 17150, 2860, 267, 799, 4481, 5222, 2367, 269, 5213, 1405, 5855, 1765, 933, 4465, 1405, 946, 1022, 2462, 1913, 267, 543, 649, 3513, 2263, 713, 1888, 1927, 538, 513, 1187, 1259, 256, 2913, 781, 4685, 883, 1620, 1018, 17150, 2860, 568, 267, 922, 3123, 267, 2589, 267, 543, 5574, 780, 1432, 568, 519, 1160, 8063, 717, 1633, 888, 5331, 513, 1507, 14189, 4092, 1175, 2630, 513, 812, 781, 15485, 1572, 519, 17150, 269, 4706, 1292, 2816, 568, 547, 3132, 5714, 585, 5033, 523, 267, 4543, 14203, 2951, 543, 7639, 269, 901, 9267, 18133, 13355, 14189, 666, 2014, 8373, 950, 1945, 4422, 4636, 267, 899, 3384, 2860, 269, 1924, 1577, 781, 1265, 856, 811, 827, 17150, 2860, 780, 8139, 1160, 8063, 9435, 912, 4692, 1356, 6238, 950, 2281, 1332, 796, 19055, 2406, 267, 8108, 561, 7927, 1572, 12970, 269, 1879, 713, 4523, 538, 519, 17150, 267, 621, 3587, 17150, 2860, 269, 1403, 2451, 15860, 267, 891, 29406, 2281, 949, 3262, 547, 824, 2694, 540, 519, 1560, 998, 1973, 8043, 610, 9726, 9136, 269, 1809, 1810, 1405, 11784, 2943, 256, 3502, 1169, 2208, 538, 519, 17150, 1797, 2860, 269, 6884, 267, 22480, 630, 12061, 4754, 1356, 748, 264, 2175, 899, 645, 15771, 630, 17754, 793, 14382, 1738, 5409, 25936, 264, 610, 6553, 1522, 2049, 780, 8005, 717, 1115, 1160, 8063, 9435, 888, 7197, 569, 4587, 2367, 3068, 713, 3390, 2094, 17150, 2860, 9428, 7444, 269, 15907, 476, 2568, 260, 540, 2665, 4755, 538, 9038, 9907, 476, 4792, 610, 4587, 269, 1717, 267, 2085, 3884, 1405, 519, 1152, 1981, 3815, 269, 7731, 1686, 849, 4249, 513, 1909, 269, 9093, 4171, 14077, 1185, 17150, 2860, 616, 811, 2693, 547, 1020, 621, 1932, 269, 21834, 267, 5198, 267, 2732, 267, 543, 6197, 2188, 3565, 547, 519, 8458, 540, 3478, 17150, 2860, 780, 21618, 540, 1160, 8063, 9435, 912, 1103, 1034, 2665, 267, 2038, 22533, 17150, 2860, 3085, 1405, 1397, 18476, 4191, 269, 2334, 1767, 267, 930, 1455, 2589, 1331, 7928, 30614, 267, 2523, 1282, 17334, 267, 4617, 610, 29169, 2095, 540, 10729, 267, 1928, 1282, 552, 329, 659, 1637, 267, 610, 9636, 1247, 9361, 1813, 547, 11926, 538, 519, 17150, 269, 5901, 538, 2247, 602, 891, 2589, 1223, 1267, 689, 1114, 1072, 2042, 267, 865, 2141, 5077, 513, 4387, 952, 789, 2408, 780, 19547, 624, 532, 1160, 8063, 9435, 912, 2710, 4701, 1419, 2638, 585, 17150, 2860, 1210, 1079, 2409, 281, 623, 6347, 630, 2889, 8063, 10391, 18970, 264, 4255, 7893, 5946, 3812, 676, 519, 17150, 610, 3059, 6439, 531, 18362, 4743, 519, 2450, 543, 3337, 540, 519, 17150, 269, 1403, 2164, 2303, 2009, 2860, 267, 7189, 1685, 1979, 3591, 625, 547, 6166, 519, 5868, 780, 21675, 18169, 912, 2467, 616, 1585, 2081, 547, 1521, 17150, 2860, 4470, 2390, 922, 3942, 543, 26490, 4369, 269, 2368, 3681, 4125, 3742, 13178, 267, 6391, 267, 5982, 3797, 267, 9449, 3797, 267, 3956, 8839, 267, 610, 18068, 269, 5272, 3461, 814, 2189, 2115, 267, 1818, 10531, 2126, 1898, 269, 8617, 1246, 13522, 948, 3950, 3356, 543, 4188, 11257, 9935, 780, 7093, 3685, 9669, 912, 4407, 649, 3112, 7357, 2061, 17150, 2860, 267, 3056, 513, 2635, 6197, 6971, 4220, 269, 14856, 7059, 6980, 3638, 538, 5613, 267, 5388, 267, 10709, 3940, 267, 2898, 9274, 267, 543, 1970, 19339, 10683, 2472, 2337, 2226, 2949, 8171, 269, 7799, 1746, 4568, 6981, 267, 9319, 10269, 267, 16706, 5781, 267, 543, 9363, 19872, 8309, 547, 1732, 1072, 4093, 780, 6962, 912, 8855, 267, 2038, 7020, 17990, 2729, 256, 11559, 5256, 1920, 2818, 547, 1865, 741, 4145, 609, 3782, 7426, 269, 1635, 10825, 4656, 827, 17150, 2860, 543, 5009, 2635, 6208, 267, 649, 1711, 513, 11215, 1604, 585, 3025, 7231, 609, 713, 2783, 269, 13773, 8049, 543, 5483, 1317, 1702, 5012, 547, 1379, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8489, 547, 4444, 10464, 605, 701, 25556, 454, 1692, 1279, 1281, 3251, 538, 707, 1062, 454, 24246, 609, 32259, 3556, 454, 9989, 960, 693, 1101, 942, 454, 291, 4851, 540, 2962, 454, 4692, 596, 1205, 513, 3732, 454, 289, 3918, 311, 568, 513, 4341, 602, 14550, 875, 6616, 519, 21465, 1198, 540, 1808, 5418, 3999, 22241, 30582, 8957, 519, 1875, 268, 921, 3999, 22241, 17485, 619, 630, 8993, 674, 538, 590, 272, 7956, 1070, 782, 1247, 4509, 1611, 2551, 8516, 602, 729, 5111, 3160, 547, 610, 3152, 982, 519, 4761, 1198, 832, 3448, 547, 3355, 282, 4061, 267, 621, 568, 936, 10687, 10968, 267, 538, 519, 8937, 1024, 1168, 3558, 9920, 476, 6795, 277, 277, 14899, 267, 1141, 547, 4444, 10464, 605, 701, 25556, 649, 1336, 602, 4959, 290, 2534, 568, 2770, 551, 6672, 12454, 543, 693, 605, 701, 25556, 693, 1942, 1723, 513, 1454, 14887, 2557, 982, 1875, 268, 921, 3999, 22241, 14747, 269, 570, 24170, 2801, 328, 589, 267, 13850, 617, 7806, 328, 631, 267, 1234, 5633, 590, 269, 12213, 1565, 609, 5302, 27935, 27765, 27866, 269, 4578, 941, 16432, 689, 8100, 8612, 538, 3109, 547, 1769, 15454, 4336, 267, 689, 519, 10888, 2551, 540, 14747, 568, 6383, 693, 4351, 269, 1452, 3328, 5121, 941, 6383, 1310, 2706, 21553, 6570, 540, 3889, 6383, 676, 5418, 3999, 22241, 5121, 616, 5827, 540, 1802, 1424, 667, 335, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 3682, 8063, 9435, 257, 607, 851, 540, 834, 4047, 22483, 1299, 32362, 1315, 15302, 1299, 17148, 1315, 9435, 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, 8702, 547, 938, 5986, 2409, 1770, 256, 4653, 267, 649, 2811, 2469, 547, 4685, 883, 519, 1158, 540, 27156, 267, 4584, 956, 267, 28040, 625, 267, 543, 3196, 1889, 1846, 676, 1565, 875, 547, 1118, 31745, 990, 344, 28397, 576, 585, 12551, 269, 5213, 1405, 5855, 952, 1346, 1913, 3280, 7294, 910, 649, 3513, 2736, 621, 1524, 1927, 267, 1900, 8386, 9912, 2439, 5575, 1055, 267, 1577, 781, 2911, 827, 1018, 1142, 2165, 1797, 1384, 265, 28397, 806, 281, 589, 5277, 8670, 6039, 593, 610, 1985, 547, 1426, 1282, 513, 7594, 269, 1358, 666, 581, 4411, 610, 3905, 543, 616, 1031, 547, 3986, 10366, 563, 265, 17292, 956, 281, 5253, 602, 814, 1044, 12873, 538, 16693, 267, 1490, 710, 267, 610, 1776, 3070, 543, 4847, 547, 7542, 618, 585, 513, 1974, 540, 942, 269, 901, 1184, 3947, 519, 1426, 513, 8126, 344, 8137, 563, 265, 3400, 341, 625, 281, 774, 1157, 27156, 2356, 1500, 689, 5779, 23238, 610, 6006, 563, 265, 10414, 1889, 1846, 281, 29133, 23399, 602, 723, 1044, 22872, 267, 2666, 267, 610, 20762, 2394, 789, 3035, 513, 5347, 11007, 269, 1452, 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 ]
[ 14138, 6321, 907, 14056, 876, 267, 476, 14056, 4905, 907, 14056, 3393, 267, 476, 14056, 5379, 907, 14056, 3445, 267, 476, 14056, 11011, 907, 14093, 3374, 267, 476, 14093, 3607, 907, 14093, 3199, 267, 476, 14093, 10037, 907, 15686, 1839, 267, 476, 15686, 2918, 907, 15686, 3583, 267, 476, 15686, 10170, 907, 6344, 1428, 267, 476, 6344, 1626, 907, 6344, 2568, 267, 476, 6344, 8618, 907, 13199, 4962, 267, 476, 13199, 6187, 907, 13199, 2004, 267, 476, 13199, 7906, 907, 13199, 4817, 267, 476, 13199, 9834, 907, 14338, 2412, 267, 476, 14338, 6078, 907, 14338, 5952, 267, 476, 14338, 10436, 907, 11277, 1789, 267, 476, 11277, 4029, 907, 11277, 4037, 267, 476, 11277, 10602, 907, 14862, 736, 267, 476, 14862, 2641, 907, 14862, 4792, 267, 476, 14862, 5780, 907, 10219, 1015, 267, 476, 10219, 1556, 907, 10219, 4649, 267, 476, 10219, 6321, 907, 14695, 876, 267, 476, 14695, 4905, 907, 14695, 3393, 267, 476, 14695, 5379, 907, 14695, 3445, 267, 476, 14695, 11011, 907, 14096, 3374, 267, 476, 14096, 3607, 907, 14096, 3199, 267, 476, 14096, 10037, 907, 12553, 1839, 267, 476, 12553, 2918, 907, 12553, 3583, 267, 476, 12553, 10170, 907, 15782, 1428, 267, 476, 15782, 1626, 907, 15782, 2568, 267, 476, 15782, 8618, 907, 9873, 4962, 267, 476, 9873, 6187, 907, 9873, 2004, 267, 476, 9873, 7906, 907, 9873, 4817, 267, 476, 9873, 9834, 907, 14530, 2412, 267, 476, 14530, 6078, 907, 14530, 5952, 267, 476, 14530, 10436, 907, 15171, 1789, 267, 476, 15171, 4029, 907, 15171, 4037, 267, 476, 15171, 10602, 907, 15836, 736, 267, 476, 15836, 2641, 907, 15836, 4792, 267, 476, 15836, 5780, 907, 16328, 1015, 267, 476, 16328, 1556, 907, 16328, 4649, 267, 476, 16328, 6321, 907, 13670, 876, 267, 476, 13670, 4905, 907, 13670, 3393, 267, 476, 13670, 5379, 907, 13670, 3445, 267, 476, 13670, 11011, 907, 15793, 3374, 267, 476, 15793, 3607, 907, 15793, 3199, 267, 476, 15793, 10037, 907, 15389, 1839, 267, 476, 15389, 2918, 907, 15389, 3583, 267, 476, 15389, 10170, 907, 15946, 1428, 267, 476, 15946, 1626, 907, 15946, 2568, 267, 476, 15946, 8618, 907, 16928, 4962, 267, 476, 16928, 6187, 907, 16928, 2004, 267, 476, 16928, 7906, 907, 16928, 4817, 267, 476, 16928, 9834, 907, 9610, 2412, 267, 476, 9610, 6078, 907, 9610, 5952, 267, 476, 9610, 10436, 907, 15221, 1789, 267, 476, 15221, 4029, 907, 15221, 4037, 267, 476, 15221, 10602, 907, 16318, 736, 267, 476, 16318, 2641, 907, 16318, 4792, 267, 476, 16318, 5780, 907, 16960, 1015, 267, 476, 16960, 1556, 907, 16960, 4649, 267, 476, 16960, 6321, 907, 13893, 876, 267, 476, 13893, 4905, 907, 13893, 3393, 267, 476, 13893, 5379, 907, 13893, 3445, 267, 476, 13893, 11011, 907, 13970, 3374, 267, 476, 13970, 3607, 907, 13970, 3199, 267, 476, 13970, 10037, 907, 16409, 1839, 267, 476, 16409, 2918, 907, 16409, 3583, 267, 476, 16409, 10170, 907, 15704, 1428, 267, 476, 15704, 1626, 907, 15704, 2568, 267, 476, 15704, 8618, 907, 16825, 4962, 267, 476, 16825, 6187, 907, 16825, 2004, 267, 476, 16825, 7906, 907, 16825, 4817, 267, 476, 16825, 9834, 907, 14983, 2412, 267, 476, 14983, 6078, 907, 14983, 5952, 267, 476, 14983, 10436, 907, 5611, 1789, 267, 476, 5611, 4029, 907, 5611, 4037, 267, 476, 5611, 10602, 907, 14681, 736, 267, 476, 14681, 2641, 907, 14681, 4792, 267, 476, 14681, 5780, 907, 13923, 1015, 267, 476, 13923, 1556, 907, 13923, 4649, 267, 476, 13923, 6321, 907, 14631, 876, 267, 476, 14631, 4905, 907, 14631, 3393, 267, 476, 14631, 5379, 907, 14631, 3445, 267, 476, 14631, 11011, 907, 15150, 3374, 267, 476, 15150, 3607, 907, 15150, 3199, 267, 476, 15150, 10037, 907, 14028, 1839, 267, 476, 14028, 2918, 907, 14028, 3583, 267, 476, 14028, 10170, 907, 14444, 1428, 267, 476, 14444, 1626, 907, 14444, 2568, 267, 476, 14444, 8618, 907, 14991, 4962, 267, 476, 14991, 6187, 907, 14991, 2004, 267, 476, 14991, 7906, 907, 14991, 4817, 267, 476, 14991, 9834, 907, 15647, 2412, 267, 476, 15647, 6078, 907, 15647, 5952, 267, 476, 15647, 10436, 907, 14689, 1789, 267, 476, 14689, 4029, 907, 14689, 4037, 267, 476, 14689, 10602, 907, 8182, 736, 267, 476, 8182, 2641, 907, 8182, 4792, 267, 476, 8182, 5780, 907, 14065, 1015, 267, 476, 14065, 1556, 907, 14065, 4649, 267, 476, 14065, 6321, 907, 14341, 876, 267, 476, 14341, 4905, 907, 14341, 3393, 267, 476, 14341, 5379, 907, 14341, 3445, 267, 476, 14341, 11011, 907, 14321, 3374, 267, 476, 14321, 3607, 907, 14321, 3199, 267, 476, 14321, 10037, 907, 13932, 1839, 267, 476, 13932, 2918, 907, 13932, 3583, 267, 476, 13932, 10170, 907, 13679, 1428, 267, 476, 13679, 1626, 907, 13679, 2568, 267, 476, 13679, 8618, 907, 14917, 4962, 267, 476, 14917, 6187, 907, 14917, 2004, 267, 476, 14917, 7906, 907, 14917, 4817, 267, 476, 14917, 9834, 907, 15757, 2412, 267, 476, 15757, 6078, 907, 15757, 5952, 267, 476, 15757, 10436, 907, 12739, 1789, 267, 476, 12739, 4029, 907, 12739, 4037, 267, 476, 12739, 10602, 907, 15433, 736, 267, 476, 15433, 2641, 907, 15433, 4792, 267, 476, 15433, 5780, 907, 10204, 1015, 267, 476, 10204, 1556, 907, 10204, 4649, 267, 476, 10204, 6321, 907, 14378, 876, 267, 476, 14378, 4905, 907, 14378, 3393, 267, 476, 14378, 5379, 907, 14378, 3445, 267, 476, 14378, 11011, 907, 15094, 3374, 267, 476, 15094, 3607, 907, 15094, 3199, 267, 476, 15094, 10037, 907, 15876, 1839, 267, 476, 15876, 2918, 907, 15876, 3583, 267, 476, 15876, 10170, 907, 14690, 1428, 267, 476, 14690, 1626, 907, 14690, 2568, 267, 476, 14690, 8618, 907, 11260, 4962, 267, 476, 11260, 6187, 907, 11260, 2004, 267, 476, 11260, 7906, 907, 11260, 4817, 267, 476, 11260, 9834, 907, 12293, 2412, 267, 476, 12293, 6078, 907, 12293, 5952, 267, 476, 12293, 10436, 907, 10082, 1789, 267, 476, 10082, 4029, 907, 10082, 4037, 267, 476, 10082, 10602, 907, 9965, 736, 267, 476, 9965, 2641, 907, 9965, 4792, 267, 476, 9965, 5780, 907, 9692, 1015, 267, 476, 9692, 1556, 907, 9692, 4649, 267, 476, 9692, 6321, 907, 5197, 876, 267, 476, 5197, 4905, 907, 5197, 3393, 267, 476, 5197, 5379, 907, 5197, 3445, 267, 476, 5197, 11011, 907, 8687, 3374, 267, 476, 8687, 3607, 907, 8687, 3199, 267, 476, 8687, 10037, 907, 9264, 1839, 267, 476, 9264, 2918, 907, 9264, 3583, 267, 476, 9264, 10170, 907, 8146, 1428, 267, 476, 8146, 1626, 907, 8146, 2568, 267, 476, 8146, 8618, 907, 7277, 4962, 267, 476, 7277, 6187, 907, 7277, 2004, 267, 476, 7277, 7906, 907, 7277, 4817, 267, 476, 7277, 9834, 907, 6977, 2412, 267, 476, 6977, 6078, 907, 6977, 5952, 267, 476, 6977, 10436, 907, 5908, 1789, 267, 476, 5908, 4029, 907, 5908, 4037, 267, 476, 5908, 10602, 907, 6942, 736, 267, 476, 6942, 2641, 907, 6942, 4792, 267, 476, 6942, 5780, 907, 6642, 1015, 267, 476, 6642, 1556, 907, 6642, 4649, 267, 476, 6642, 6321, 907, 6245, 876, 267, 476, 6245, 4905, 907, 6245, 3393, 267, 476, 6245, 5379, 907, 6245, 3445, 267, 476, 6245, 11011, 907, 5002, 3374, 267, 476, 5002, 3607, 907, 5002, 3199, 267, 476, 5002, 10037, 907, 4489, 1839, 267, 476, 4489, 2918, 907, 4489, 3583, 267, 476, 4489, 10170, 907, 4572, 1428, 267, 476, 4572, 1626, 907, 4572, 2568, 267, 476, 4572, 8618, 907, 4350, 4962, 267, 476, 4350, 6187, 907, 4350, 2004, 267, 476, 4350, 7906, 907, 4350, 4817, 267, 476, 4350, 9834, 907, 3707, 2412, 267, 476, 3707, 6078, 907, 3707, 5952, 267, 476, 3707, 10436, 907, 4198, 1789, 267, 476, 4198, 4029, 907, 4198, 4037, 267, 476, 4198, 10602, 907, 3422, 736, 267, 476, 3422, 2641, 907, 3422, 4792, 267, 476, 3422, 5780, 907, 3192, 1015, 267, 476, 3192, 1556, 907, 3192, 4649, 267, 476, 3192, 6321, 907, 2735, 876, 267, 476, 2735, 4905, 907, 2735, 3393, 267, 476, 2735, 5379, 907, 2735, 3445, 267, 476, 2735, 11011, 907, 1960, 3374, 267, 476, 1960, 3607, 907, 1960, 3199, 267, 476, 1960, 10037, 907, 1220, 1839, 267, 476, 1220, 2918, 907, 1220, 3583, 267, 476, 1220, 10170, 907, 1001, 1428, 267, 476, 1001, 1626, 907, 1001, 2568, 267, 476, 1001, 8618, 907, 1708, 4962, 267, 476, 1708, 6187, 907, 1708, 2004, 0, 258, 2561, 956, 476, 273, 692, 291, 3072, 13212, 2270, 476, 1428, 260, 1216, 269, 18610, 13212, 2270, 476, 3199, 260, 1216, 269, 1215, 1082, 4846, 540, 13212, 649, 991, 4444, 538, 1931, 547, 1205, 476, 274, 4846, 540, 12015, 13212, 2496, 4910, 738, 692, 343, 815, 476, 1109, 1321, 269, 4037, 4846, 692, 2971, 8827, 1384, 271, 269, 736, 1535, 815, 476, 271, 269, 5952, 586, 454, 344, 815, 476, 274, 692, 271, 269, 273, 343, 268, 271, 269, 5952, 344, 815, 476, 271, 454, 344, 815, 476, 274, 692, 343, 815, 476, 7906, 270, 275, 815, 476, 1321, 269, 4037, 454, 344, 815, 476, 274, 692, 15612, 730, 676, 938, 5276, 4834, 9498, 780, 32306, 721, 513, 6085, 540, 1383, 543, 922, 3070, 630, 328, 4318, 269, 952, 621, 568, 1869, 10169, 15458, 1862, 17107, 6826, 519, 1101, 547, 6085, 2439, 2971, 1677, 4194, 713, 1383, 616, 2877, 891, 1702, 689, 6128, 1384, 2710, 596, 1616, 547, 6460, 2527, 4559, 286, 3776, 6871, 9498, 786, 948, 596, 3533, 5173, 1585, 6093, 4247, 609, 21159, 269, 1684, 596, 723, 513, 5276, 3830, 610, 1062, 540, 4834, 543, 3168, 585, 922, 3070, 286, 2107, 798, 596, 723, 13392, 3830, 2496, 1012, 8921, 2147, 1806, 1384, 272, 269, 5565, 25965, 454, 296, 2759, 856, 1079, 25965, 609, 476, 7918, 4699, 11054, 267, 476, 3445, 4699, 11054, 269, 4256, 5011, 616, 6829, 538, 2898, 17744, 269, 1403, 594, 2322, 891, 25965, 1927, 594, 1205, 513, 13551, 609, 606, 1858, 540, 476, 13893, 4699, 273, 269, 1548, 7516, 666, 713, 1804, 13551, 723, 286, 3503, 782, 3681, 269, 11512, 707, 18287, 340, 454, 273, 269, 12384, 7470, 454, 306, 13645, 7470, 5161, 540, 513, 4009, 609, 5011, 540, 3259, 476, 272, 4699, 269, 8571, 538, 621, 693, 2547, 1614, 1114, 3270, 971, 602, 1142, 1185, 513, 1543, 540, 476, 277, 4699, 273, 543, 18592, 476, 1321, 4699, 543, 602, 741, 5011, 568, 538, 4009, 7470, 563, 274, 269, 12844, 639, 454, 294, 1484, 13230, 729, 476, 16960, 271, 20430, 1519, 476, 2537, 260, 22429, 269, 1215, 1082, 20430, 941, 13755, 4926, 888, 275, 269, 15188, 454, 30681, 6976, 538, 4558, 476, 274, 20789, 338, 811, 982, 3368, 519, 2179, 602, 729, 593, 12625, 547, 519, 4558, 269, 1879, 646, 4734, 6300, 646, 2451, 476, 1015, 20789, 338, 269, 1215, 1082, 20789, 338, 646, 1185, 2390, 12625, 547, 519, 4558, 888, 276, 269, 595, 757, 454, 19878, 6390, 814, 476, 274, 21347, 811, 982, 18018, 334, 269, 8625, 789, 723, 476, 2767, 21347, 269, 1215, 1082, 21347, 814, 7325, 6390, 543, 875, 1082, 18018, 334, 888, 277, 269, 30766, 559, 6390, 454, 299, 550, 559, 6390, 1500, 476, 4029, 3443, 31817, 269, 476, 279, 1810, 1405, 6445, 609, 4376, 267, 476, 1691, 3443, 31817, 4904, 609, 12450, 9440, 25888, 267, 476, 1626, 4904, 609, 8645, 10381, 269, 513, 264, 1215, 1082, 30766, 559, 6390, 1705, 12450, 9440, 29931, 600, 10381, 3443, 31817, 286, 631, 6545, 1731, 17696, 476, 275, 540, 12450, 9440, 29931, 600, 10381, 543, 782, 6986, 12450, 9440, 3443, 322, 820, 454, 278, 269, 681, 902, 2516, 454, 2767, 10453, 7390, 930, 1895, 282, 7544, 1895, 1140, 1742, 476, 1691, 10453, 267, 476, 2641, 10453, 7328, 344, 1895, 543, 10565, 1895, 476, 1626, 10453, 269, 19933, 543, 23242, 7390, 476, 280, 10453, 267, 7544, 543, 12416, 476, 277, 20194, 267, 7328, 344, 543, 10565, 476, 1556, 10453, 269, 1215, 1082, 10453, 7390, 782, 1614, 2516, 888, 279, 269, 681, 13741, 1080, 454, 1103, 519, 554, 8553, 616, 476, 4366, 2138, 339, 1194, 17544, 269, 9466, 616, 476, 2537, 1447, 982, 2138, 339, 1194, 543, 3043, 616, 476, 279, 2389, 1307, 1447, 982, 2138, 339, 1194, 269, 1215, 1082, 17544, 616, 538, 519, 554, 8553, 888, 280, 269, 21540, 906, 454, 18118, 12415, 476, 6858, 4699, 543, 476, 274, 269, 272, 546, 332, 1279, 649, 7941, 883, 3160, 2694, 799, 13080, 538, 17744, 568, 6829, 8870, 269, 1215, 1082, 2081, 666, 649, 7941, 888, 1015, 269, 24497, 839, 454, 763, 9661, 540, 519, 18599, 24497, 839, 941, 5722, 14552, 267, 1142, 540, 7247, 729, 4535, 4010, 476, 273, 269, 276, 1296, 1310, 519, 3105, 835, 269, 1879, 519, 7800, 652, 540, 519, 14552, 729, 476, 273, 2389, 1307, 4587, 982, 519, 21836, 267, 3993, 782 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5814, 15259, 454, 5814, 1257, 342, 1905, 454, 5228, 946, 31200, 1104, 946, 31200, 454, 5228, 3351, 1104, 2608, 7531, 3698, 948, 10031, 825, 1820, 29495, 342, 1905, 8807, 650, 18692, 1038, 834, 2791, 616, 4867, 1210, 2271, 22088, 22512, 267, 543, 10995, 6413, 2468, 1645, 1062, 269, 27029, 1038, 834, 763, 1062, 3096, 4359, 3684, 1565, 2553, 547, 3313, 911, 15607, 8464, 27029, 1038, 834, 22372, 593, 707, 4879, 540, 519, 3461, 269, 5213, 1405, 5855, 910, 519, 1062, 786, 2141, 2307, 27029, 1038, 834, 1721, 707, 21533, 1354, 519, 911, 15607, 6060, 568, 3803, 1242, 10590, 4917, 825, 1820, 2891, 2467, 616, 513, 1297, 540, 12981, 2139, 585, 596, 547, 946, 281, 5602, 825, 1820, 29495, 342, 1905, 8807, 650, 18692, 1038, 834, 2908, 3461, 281, 901, 4971, 786, 1491, 596, 998, 513, 3126, 540, 2055, 827, 519, 27029, 1038, 834, 18345, 543, 786, 5352, 513, 2468, 720, 6060, 8442, 9239, 3698, 1007, 318, 18345, 263, 18345, 318, 28255, 2187, 825, 1820, 29495, 342, 1905, 8807, 650, 18692, 1038, 834, 2791, 786, 581, 4280, 513, 1297, 540, 2055, 827, 519, 3461, 269, 8382, 547, 519, 1655, 540, 707, 2702, 269, 27029, 1038, 834, 22599, 519, 1007, 3461, 5106, 267, 1826, 19532, 3951, 693, 1022, 1448, 1701, 4917, 825, 2012, 815, 3403, 2891, 11243, 281, 19515, 825, 952, 2012, 2652, 834, 12702, 3951, 13426, 1038, 2132, 454, 825, 2085, 815, 3403, 2891, 21848, 281, 19515, 825, 952, 2085, 2652, 834, 12702, 3951, 13426, 1038, 2132, 692, 825, 4008, 815, 3403, 2891, 29638, 1496, 332, 11721, 13912, 19515, 825, 952, 4008, 2652, 834, 12702, 3951, 13426, 1038, 2132, 454, 825, 952, 4008, 11203, 1412, 332, 262, 543, 4008, 11203, 1412, 325, 12466, 1038, 1820, 2891, 1103, 20777, 3403, 269, 21111, 711, 10805, 23528, 1038, 2132, 454, 825, 952, 4008, 2652, 1412, 332, 12466, 1038, 4008, 815, 476, 272, 454, 825, 8640, 4008, 2652, 1412, 325, 12466, 1038, 4008, 815, 476, 271, 692, 825, 6379, 26077, 815, 1193, 9272, 2891, 3674, 519, 3461, 9176, 286, 1496, 344, 14672, 13912, 27328, 825, 952, 6379, 26077, 2652, 834, 12702, 3951, 13426, 1038, 2132, 454, 825, 952, 6379, 26077, 11203, 1412, 344, 262, 543, 6379, 26077, 11203, 1412, 333, 12466, 1038, 1820, 2891, 1103, 20777, 3403, 269, 21111, 711, 10805, 23528, 1038, 2132, 454, 825, 952, 6379, 26077, 2652, 1412, 344, 12466, 1038, 6379, 26077, 815, 476, 272, 454, 825, 8640, 6379, 26077, 2652, 1412, 333, 12466, 1038, 6379, 26077, 815, 476, 271, 692, 825, 2295, 318, 3433, 10734, 10975, 815, 3403, 2891, 29587, 2557, 630, 2041, 1846, 829, 8792, 2567, 19515, 825, 952, 2295, 318, 3433, 10734, 10975, 2652, 834, 12702, 3951, 13426, 1038, 2132, 692, 825, 24967, 30648, 28804, 1393, 815, 3403, 2891, 289, 805, 26387, 829, 8792, 281, 19515, 825, 952, 24967, 30648, 28804, 1393, 2652, 834, 12702, 3951, 13426, 1038, 2132, 692, 825, 1560, 4671, 17687, 815, 3403, 2891, 28694, 2837, 281, 19515, 825, 952, 1560, 4671, 17687, 2652, 834, 12702, 3951, 13426, 1038, 2132, 692, 825, 1973, 7272, 21913, 815, 3403, 2891, 26108, 2604, 281, 19515, 825, 952, 1973, 7272, 21913, 2652, 834, 12702, 3951, 13426, 1038, 2132, 692, 825, 3404, 5334, 520, 815, 3403, 2891, 23682, 4723, 25294, 1377, 281, 19515, 825, 952, 3404, 5334, 520, 2652, 834, 12702, 3951, 13426, 1038, 2132, 692, 825, 1948, 5410, 811, 1934, 269, 19120, 5511, 1919, 2496, 825, 3461, 8217, 815, 1496, 842, 263, 720, 1070, 703, 263, 14054, 1070, 6379, 26077, 267, 703, 263, 24711, 318, 3433, 10734, 10975, 1070, 703, 6357, 805, 26387, 30648, 28804, 1393, 13211, 7386, 703, 6357, 1328, 4671, 17687, 1070, 703, 263, 29188, 7272, 21913, 13211, 7386, 703, 263, 2135, 5334, 520, 1070, 476, 271, 267, 476, 271, 267, 476, 271, 2639, 825, 1377, 815, 946, 31200, 263, 18345, 8217, 994, 672, 692, 825, 1820, 19629, 333, 22033, 6394, 269, 17270, 2468, 720, 6060, 907, 23528, 825, 1820, 19629, 333, 15612, 730, 2468, 720, 6060, 281, 15079, 2668, 8971, 263, 24038, 4917, 825, 1377, 815, 3403, 19629, 333, 1432, 2468, 720, 6060, 1131, 596, 899, 547, 3651, 547, 519, 3461, 286, 19515, 825, 1820, 2891, 6124, 3461, 6707, 3773, 1701, 2020, 825, 3461, 815, 21111, 263, 271, 267, 2012, 267, 1377, 267, 476, 271, 267, 476, 271, 267, 476, 271, 267, 2085, 267, 4008, 267, 6379, 26077, 267, 2295, 318, 3433, 10734, 10975, 267, 24967, 30648, 28804, 1393, 2676, 4449, 8587, 1560, 4671, 17687, 267, 1973, 7272, 21913, 267, 3404, 5334, 520, 994, 825, 3461, 318, 28255, 27044, 263, 18345, 9239, 258, 6301, 16163, 518, 1599, 269, 681, 12584, 538, 513, 1247, 8520, 11014, 267, 2141, 6998, 519, 3593, 454, 258, 585, 12981, 543, 1287, 1739, 909, 609, 519, 3617, 2962, 563, 3698, 1612, 572, 263, 18345, 318, 28255, 2187, 825, 1948, 13068, 519, 12363, 5496, 454, 825, 15259, 269, 17882, 3488, 743, 338, 262, 952, 15259, 20508, 2652, 1412, 660, 262, 3116, 1412, 27234, 5073, 825, 1820, 2891, 8702, 547, 2271, 22088, 22512, 256, 315, 333, 5602, 825, 1820, 2891, 13911, 519, 1412, 15276, 262, 4971, 585, 513, 1592, 540, 1455, 12981, 23528, 825, 1820, 2891, 13911, 1412, 12702, 3951, 262, 547, 16718, 1701, 2020, 825, 1948, 31230, 11014, 454, 825, 1247, 6936, 912, 1038, 1820, 2891, 9563, 14307, 1439, 8782, 5073, 1038, 4971, 815, 3403, 4590, 1038, 952, 4971, 2652, 1412, 12702, 3951, 12466, 2018, 2132, 454, 1038, 8640, 4971, 2652, 834, 2908, 3461, 13426, 2018, 1007, 318, 18345, 263, 18345, 318, 28255, 994, 1038, 8640, 4971, 2652, 834, 15276, 13426, 2018, 948, 4590, 1038, 3116, 912, 2018, 1820, 2891, 8253, 513, 4570, 4971, 269, 7392, 1412, 15276, 262, 585, 6351, 23528, 0, 258, 17130, 476, 272, 692, 5035, 19219, 912, 825, 8173, 825, 901, 1362, 5932, 513, 6843, 602, 8637, 513, 1592, 540, 2450, 476, 2767, 630, 272, 268, 2767, 602, 1131, 5330, 609, 519, 4994, 1871, 540, 26897, 454, 825, 543, 4994, 476, 271, 1131, 581, 1031, 547, 4558, 519, 1239, 540, 519, 2468, 324, 1070, 8637, 519, 1377, 540, 519, 2468, 324, 267, 4994, 540, 519, 1915, 1373, 17332, 454, 825, 543, 519, 2385, 4994, 780, 825, 29203, 912, 825, 5384, 4211, 558, 14658, 640, 815, 744, 263, 272, 264, 607, 519, 19219, 568, 6383, 14678, 607, 621, 568, 8216, 7007, 563, 825, 6611, 4211, 558, 14658, 640, 815, 476, 271, 3799, 264, 1141, 562, 568, 519, 2450, 540, 519, 3095, 7132, 824, 1644, 21635, 563, 825, 8173, 825, 1219, 6449, 8181, 9191, 1345, 267, 24038, 22561, 267, 21653, 284, 2767, 267, 11907, 22561, 267, 10420, 16229, 22561, 267, 8001, 16229, 22561, 2187, 1038, 1582, 21606, 815, 1239, 454, 1038, 1582, 269, 24038, 815, 1377, 454, 1038, 1582, 7456, 1074, 815, 1496, 14085, 316, 2608, 2450, 454, 1038, 1582, 269, 10420, 16229, 815, 1347, 16229, 454, 1038, 1582, 4877, 1861, 16229, 815, 2385, 16229, 7531, 5035, 570, 4471, 912, 825, 8173, 825, 901, 1362, 8216, 28179, 513, 570, 4471, 602, 814, 519, 1362, 19219, 607, 621, 781, 3597, 563, 825, 8173, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 269, 10174, 815, 19219, 10797, 825, 1219, 7696, 4311, 267, 4486, 267, 11907, 267, 10420, 16229, 267, 8001, 2187, 1038, 8173, 1038, 901, 1505, 7696, 338, 513, 5569, 334, 540, 715, 3197, 883, 519, 570, 4471, 543, 621, 781, 2404, 1239, 693, 621, 781, 9803, 1377, 563, 1038, 2433, 12407, 1883, 281, 519, 5569, 1871, 454, 1038, 2433, 12407, 1239, 281, 519, 1239, 2404, 609, 519, 1883, 454, 1038, 2433, 12407, 1347, 16229, 281, 519, 4994, 540, 519, 1915, 1373, 17332, 454, 1038, 2433, 12407, 2385, 281, 519, 4994, 540, 519, 2385, 6843, 692, 1038, 29203, 912, 1038, 901, 1505, 814, 513, 942, 10687, 14658, 640, 540, 744, 3799, 264, 1141, 562, 568, 519, 3259, 540, 519, 1883, 780, 1038, 8173, 1038, 1948, 1699, 568, 3355, 2213, 547, 1582, 269, 10174, 454, 1038, 1699, 815, 1582, 269, 10174, 692, 1038, 1948, 519, 1377, 540, 1699, 568, 476, 271, 454, 1038, 1699, 318, 24038, 815, 476, 271, 692, 1038, 1948, 713, 3625, 540, 3009, 267, 952, 519, 4994, 538, 1699, 7456, 1074, 568, 13026, 267, 621, 1131, 1287, 979, 4514, 3116, 621, 1131, 1711, 513, 1007, 19219, 454, 1038, 1948, 547, 581, 6740, 693, 519, 4994, 543, 519, 1377, 568, 1213, 7757, 676, 476, 272, 454, 1038, 585, 1347, 538, 1883, 912, 2018, 4994, 815, 3921, 263, 10420, 264, 910, 476, 9032, 1341, 476, 272, 454, 2018, 952, 1699, 7456, 1074, 27709, 316, 568, 711, 7183, 912, 3546, 1699, 815, 1699, 7456, 1074, 27709, 2639, 2018, 3116, 912, 3546, 1699, 7456, 1074, 27709, 316, 815, 19219, 263, 24038, 284, 9690, 318, 24038, 267, 10420, 16229, 284, 10420, 16229, 267, 8001, 16229, 284, 8001, 994, 3546, 1699, 815, 1699, 7456, 1074, 27709, 2639, 2018, 1699, 318, 24038, 6834, 476, 272, 454, 2018, 1347, 16229, 6834, 476, 272, 692, 1038, 1948, 713, 3625, 540, 3009, 1131, 2132, 519, 1239, 2404, 609, 519, 1883, 563, 1038, 4994, 815, 476, 271, 454, 1038, 952, 1699, 7456, 1074, 27709, 316, 568, 711, 7183, 912, 2018, 1699, 815, 1699, 7456, 1074, 27709, 2639, 1038, 3116, 912, 2018, 1699, 7456, 1074, 27709, 316, 815, 19219, 263, 24038, 284, 9690, 318, 24038, 994, 2018, 1699, 815, 1699, 7456, 1074, 27709, 2639, 1038, 1699, 21606, 815, 1239, 7531, 825, 1219, 3406, 4311, 267, 4486, 2187, 1038, 8173, 1038, 901, 1505, 19707, 585, 519, 1883, 543, 7024, 519, 1239, 2404, 609, 519, 1883, 269, 769, 713, 9183, 267, 519, 1505, 1131, 454, 1038, 2132, 519, 4994, 2418, 540, 519, 10799, 532, 630, 4486, 264, 543, 952, 519, 10799, 532, 568, 711, 1459, 267, 7024, 513, 8771, 3948, 454, 1038, 2433, 12407, 1883, 281, 634, 5569, 1373, 22646, 454, 1038, 2433, 8873, 281, 634, 30455, 540, 519, 10799, 902, 7531, 1038, 29203, 912, 1038, 901, 1505, 814, 513, 942, 10687, 14658, 640, 540, 744, 9852, 264, 1141, 544, 568, 519, 3259, 540, 519, 1883, 780, 1038, 8173, 1038, 1948, 713, 4756, 8637, 519, 10799, 902, 602, 941, 4646, 547, 1711, 519, 1883, 454, 1038, 10799, 532, 815, 11713, 1038, 1948, 713, 4756, 8637, 519, 24042, 5627, 519, 30455, 547, 1106, 519, 1883, 454, 1038, 30455, 815, 11713, 1038, 1948, 1699, 815, 1582, 269, 10174, 454, 1038, 1699, 815, 1582, 269, 10174, 692, 1038, 4831, 815, 476, 271, 454, 1038, 585, 1347, 538, 1883, 912, 2018, 1948, 713, 4756, 4991, 519, 32412, 2862, 1871, 540, 519, 5569, 454, 2018, 4994, 815, 3921, 263, 10420, 264, 910, 476, 9032, 1341, 476, 272, 454, 2018, 1948, 952, 519, 4994, 538, 1699, 7456, 1074, 568, 711, 9039, 267, 621, 1797, 602, 519, 4994, 13292, 519, 1347, 1871, 543, 519, 24042, 1871, 454, 2018, 1948, 568, 6740, 538, 519, 30455, 4756, 454, 2018, 952, 1699, 7456, 1074, 27709, 316, 568, 711, 7183, 912, 3546, 1699, 815, 1699, 7456, 1074, 27709, 2639, 3546, 30455, 6910, 9230, 9690, 4877, 1861, 16229, 267, 9690, 269, 10420, 16229, 4917, 3546, 4831, 6834, 476, 272, 454, 2018, 1948, 713, 3625, 568, 13401, 950, 519, 1883, 1871, 568, 711, 1459, 607, 513, 21879, 2468, 324, 538, 1699, 7456, 1074, 543, 621, 1287, 21986, 525, 689, 1582, 269, 10174, 1586, 454, 2018, 8640, 1582, 269, 10174, 7456, 1074, 27709, 316, 568, 711, 7183, 912, 3546, 1948, 519, 5767, 1871, 538, 30455, 1131, 581, 3773, 547, 10799, 532, 454, 3546, 10799, 532, 6910, 263, 8161, 525, 15631, 272, 7481, 3546, 1948, 30455, 1131, 581, 19268, 547, 8900, 454, 3546, 30455, 815, 11713, 3546, 1948, 519, 4994, 2418, 540, 519, 10799, 532, 1131, 581, 3773, 454, 3546, 30455, 6910, 9230, 1345, 269, 10174, 7456, 1074, 27709, 4940, 8001, 16229, 267, 1345, 269, 10174, 7456, 1074, 27709, 4940, 10420, 16229, 4917, 3546, 1948, 1699, 568, 1287, 19268, 547, 1582, 269, 10174, 7456, 1074, 27709, 2639, 3546, 1699, 815, 1582, 269, 10174, 7456, 1074, 27709, 2639, 2018, 3116, 912, 3546, 1948, 952, 1347, 568, 711, 1459, 538, 519, 570, 4471, 267, 1287, 513, 8771, 3948, 568, 8120, 454, 3546, 2132, 8771, 454, 1038, 1948, 519, 2063, 1871, 538, 30455, 568, 813, 2105, 547, 10799, 532, 454, 1038, 10799, 532, 6910, 263, 8161, 525, 15631, 272, 7481, 1038, 2132, 10799, 532, 692, 3698, 1628, 318, 5228, 5334, 889, 1598, 902, 22829, 267, 307, 2187, 825, 8173, 825, 901, 1599, 5932, 513, 21879, 570, 4471, 602, 568, 20651, 676, 519, 21642, 590, 543, 519, 1883, 570, 568, 1031, 547, 1628, 513, 10799, 532, 689, 519, 454, 825 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4258, 324, 670, 879, 1767, 1010, 3610, 1353, 513, 2875, 781, 9043, 1101, 269, 1403, 1053, 2097, 547, 27116, 476, 276, 4617, 538, 6128, 543, 2257, 267, 789, 616, 1412, 22238, 2406, 1732, 1055, 2469, 547, 519, 8668, 292, 262, 780, 1805, 3994, 9344, 538, 13004, 543, 2257, 616, 2629, 585, 7127, 547, 519, 4874, 23855, 923, 780, 3719, 646, 3773, 602, 1010, 3610, 9856, 1996, 1629, 7394, 2358, 1053, 543, 1445, 3079, 593, 741, 2178, 2798, 950, 7713, 1946, 519, 8668, 292, 568, 1732, 585, 873, 780, 4263, 3345, 15842, 758, 338, 18520, 267, 1053, 811, 5693, 2759, 856, 585, 519, 8668, 292, 616, 5646, 8688, 539, 1256, 1354, 789, 1694, 519, 715, 2157, 538, 27116, 476, 275, 267, 1767, 519, 1153, 781, 13030, 17376, 4532, 7625, 962, 2465, 6874, 2129, 717, 2131, 10609, 807, 342, 780, 9515, 1767, 1053, 543, 741, 3237, 949, 581, 538, 519, 4158, 827, 519, 6030, 2139, 972, 269, 1358, 1223, 849, 581, 23387, 602, 930, 8668, 292, 1053, 798, 1118, 621, 547, 519, 4874, 23855, 923, 780, 3719, 21246, 1023, 1448, 856, 602, 519, 27162, 615, 7355, 585, 13319, 689, 27116, 476, 275, 301, 547, 27116, 476, 276, 301, 786, 2327, 602, 1346, 945, 1118, 621, 547, 27116, 476, 276, 301, 616, 27268, 6793, 543, 811, 2693, 547, 20618, 585, 4874, 23855, 545, 4025, 780, 5804, 1985, 1032, 267, 27116, 476, 275, 301, 1053, 1590, 798, 1134, 538, 693, 2547, 2947, 5396, 1519, 2296, 543, 13004, 910, 909, 689, 1614, 1519, 2296, 910, 547, 1847, 593, 547, 27116, 476, 276, 780, 29261, 899, 11427, 7799, 10950, 891, 2242, 267, 855, 2161, 741, 2360, 786, 581, 513, 1906, 1296, 538, 4947, 780, 9515, 1767, 281, 1412, 296, 3858, 1034, 3610, 1611, 1134, 267, 855, 594, 4126, 2899, 519, 2385, 543, 1126, 6430, 593, 519, 744, 7400, 8905, 267, 519, 1153, 786, 2285, 782, 519, 948, 543, 19015, 519, 1126, 2115, 547, 798, 1134, 538, 519, 744, 2157, 9538, 692, 2411, 7042, 300, 14899, 630, 303, 11535, 2274, 8663, 264, 30410, 3427, 623, 277, 4569, 11404, 272, 476, 1220, 277, 630, 304, 4391, 2020, 296, 723, 476, 4343, 11113, 543, 789, 616, 1500, 909, 540, 476, 2004, 7266, 543, 476, 736, 7266, 11113, 269, 4256, 2698, 1871, 568, 8096, 1724, 269, 2568, 269, 1548, 568, 519, 5223, 540, 519, 1297, 540, 476, 736, 7266, 11113, 547, 519, 1297, 540, 476, 2004, 7266, 11113, 2496, 11405, 692, 10112, 2541, 782, 616, 476, 736, 7266, 11113, 692, 4343, 11113, 1535, 8096, 271, 269, 736, 815, 8096, 278, 269, 2568, 692, 3719, 519, 2698, 1871, 568, 8096, 1724, 269, 2568, 269, 901, 568, 8096, 1724, 269, 2568, 910, 8096, 278, 269, 2568, 815, 8096, 277, 811, 267, 3379, 547, 952, 782, 476, 4343, 11113, 941, 476, 736, 2275, 757, 780, 288, 476, 2004, 7266, 3379, 547, 513, 476, 736, 7266, 11777, 814, 513, 1871, 602, 568, 476, 1789, 21347, 811, 780, 1789, 21347, 968, 3467, 892, 476, 955, 476, 272, 630, 2004, 7266, 11777, 538, 1747, 540, 513, 476, 736, 7266, 11777, 2020, 1015, 21347, 968, 3467, 892, 476, 955, 268, 476, 272, 5258, 676, 476, 274, 815, 476, 272, 270, 274, 692, 7268, 259, 277, 264, 610, 476, 7785, 21347, 968, 3467, 892, 476, 955, 268, 476, 272, 270, 274, 1535, 476, 7785, 815, 476, 736, 630, 2004, 7266, 11113, 2020, 2252, 972, 616, 476, 736, 476, 2004, 7266, 11113, 267, 621, 1797, 972, 616, 476, 1240, 476, 736, 7266, 11113, 780, 11997, 519, 5223, 540, 476, 736, 7266, 11113, 547, 476, 2004, 7266, 11113, 568, 1384, 12585, 281, 634, 5223, 540, 519, 1297, 540, 476, 736, 7266, 11113, 547, 519, 1297, 540, 476, 2004, 7266, 11113, 568, 476, 280, 281, 1015, 780, 2690, 636, 16707, 689, 18135, 1080, 8648, 692, 10521, 2152, 17640, 547, 519, 2069, 1062, 723, 1044, 538, 519, 1929, 601, 697, 519, 2250, 4374, 780, 272, 269, 11819, 781, 2628, 454, 273, 269, 589, 9030, 781, 6073, 538, 7829, 27116, 476, 276, 1053, 780, 2080, 568, 606, 9337, 780, 289, 21392, 2628, 585, 3610, 711, 693, 12918, 609, 6612, 692, 32459, 7625, 781, 1913, 540, 5796, 547, 27116, 476, 276, 1053, 2192, 7302, 4923, 692, 13828, 4930, 941, 3370, 538, 5254, 17072, 593, 476, 1428, 3967, 476, 1220, 279, 780, 307, 11698, 267, 5130, 476, 1428, 267, 476, 1220, 279, 692, 300, 14899, 630, 303, 11535, 2274, 8663, 264, 12729, 3427, 623, 277, 4569, 11404, 272, 476, 1220, 277, 630, 304, 3607, 2020, 299, 25475, 6976, 8096, 3607, 269, 2412, 585, 476, 279, 10217, 25394, 543, 476, 1691, 544, 4428, 1231, 269, 634, 2698, 1942, 540, 513, 10217, 14735, 543, 513, 544, 4428, 514, 729, 8096, 274, 269, 3199, 269, 700, 518, 1195, 4547, 476, 273, 10217, 25394, 543, 476, 277, 544, 4428, 1231, 269, 1215, 1454, 1689, 1131, 646, 4309, 952, 646, 6976, 519, 6666, 1512, 8096, 1789, 2496, 11405, 692, 272, 14735, 1341, 476, 272, 544, 4428, 514, 476, 955, 268, 8096, 274, 269, 3199, 692, 11997, 10484, 279, 25394, 1341, 476, 279, 544, 4428, 1231, 476, 955, 8096, 274, 269, 3199, 1535, 476, 279, 815, 8096, 1789, 269, 2412, 692, 27331, 25475, 264, 476, 279, 25394, 1341, 476, 1691, 544, 4428, 1231, 476, 955, 268, 8096, 3607, 269, 2412, 692, 263, 279, 25394, 1341, 476, 1691, 544, 4428, 1231, 264, 1107, 630, 279, 25394, 1341, 476, 279, 332, 4428, 1231, 264, 476, 955, 268, 8096, 3607, 269, 2412, 910, 8096, 1789, 269, 2412, 692, 277, 544, 4428, 1231, 476, 955, 268, 8096, 277, 692, 272, 544, 4428, 514, 476, 955, 268, 8096, 277, 5258, 676, 476, 277, 815, 8096, 272, 692, 290, 820, 4061, 1942, 692, 272, 14735, 1341, 476, 272, 544, 4428, 514, 630, 15478, 272, 264, 476, 955, 268, 8096, 274, 269, 3199, 692, 272, 14735, 476, 955, 268, 8096, 274, 269, 3199, 910, 8096, 272, 815, 8096, 273, 269, 3199, 692, 27331, 518, 1195, 264, 476, 273, 25394, 1341, 476, 277, 544, 4428, 1231, 476, 955, 268, 630, 273, 1535, 8096, 273, 269, 3199, 264, 1341, 630, 277, 1535, 8096, 272, 2020, 284, 8096, 276, 269, 2568, 1341, 8096, 277, 815, 8096, 1556, 269, 2568, 692, 15478, 1789, 910, 8096, 1556, 269, 2568, 815, 8096, 1240, 269, 2412, 692, 306, 12944, 267, 5130, 476, 1321, 267, 476, 1220, 279, 692, 32459, 7625, 6499, 476, 1911, 260, 1780, 267, 1443, 2478, 6690, 547, 1491, 8668, 292, 8905, 692, 5804, 519, 18135, 1080, 8648, 267, 18584, 476, 1321, 3967, 476, 1220, 279, 692, 2750, 1356, 14186, 692, 32459, 7625, 6645, 1053, 602, 789, 616, 12691, 547, 798, 1134, 693, 744, 2157, 692, 288, 1895, 540, 476, 2767, 6690, 538, 513, 18520, 476, 276, 1362, 538, 513, 5692, 1153, 910, 799, 4927, 2611, 796, 24887, 910, 941, 15695, 676, 741, 9030, 593, 519, 1101, 1554, 540, 1153, 2063, 3018, 547, 3343, 19132, 547, 519, 4659, 540, 14502, 4065, 630, 25492, 1070, 2094, 789, 941, 12691, 547, 798, 1134, 538, 519, 744, 2157, 713, 1032, 780, 2414, 1394, 1200, 1448, 267, 1352, 1256, 1166, 14414, 519, 6690, 262, 2143, 715, 7400, 9344, 593, 519, 4604, 538, 1362, 1210, 606, 16841, 1788, 528, 282, 1352, 849, 14129, 602, 1352, 4941, 476, 1911, 829, 1298, 10596, 538, 1200, 1153, 780, 763, 1267, 281, 12322, 609, 14047, 3293, 1582, 21873, 543, 930, 535, 11167, 3237, 780, 763, 6690, 267, 945, 1185, 2944, 1134, 2614, 538, 2063, 1032, 781, 715, 7400, 18362, 547, 1205, 547, 27116, 476, 276, 267, 941, 3168, 547, 10956, 741, 1434, 2773, 693, 519, 744, 2157, 713, 1032, 543, 1847, 593, 547, 519, 4874, 23855, 923, 780, 17829, 609, 2178, 715, 7400, 2164, 1185, 513, 1007, 4781, 713, 1032, 281, 1358, 1223, 723, 1236, 5792, 27116, 476, 276, 543, 18188, 585, 2362, 7400, 2930, 6030, 693, 8668, 292, 267, 855, 519, 21120, 585, 3156, 6806, 593, 3967, 476, 273, 780, 763, 25867, 781, 17121, 540, 519, 9452, 692, 32459, 7625, 781, 18879, 692, 15578, 1153, 9030, 5143, 634, 18135, 1080, 8648, 19108, 1352, 729, 8806, 3843, 547, 2285, 1200, 6690, 513, 1412, 342, 820, 5346, 1289, 262, 950, 1352, 12038, 547, 873, 593, 519, 1101, 1554, 540, 1153, 780, 9515, 9672, 602, 1352, 1185, 1031, 606, 16841, 1788, 528, 547, 4159, 519, 6690, 262, 2164, 267, 855, 602, 621, 729, 547, 23666, 593, 873, 602, 789, 1131, 723, 547, 960, 2182, 547, 20618, 585, 513, 1747, 538, 519, 4874, 23855, 923, 2507, 780, 8796, 2691, 2016, 519, 9030, 781, 2427, 540, 519, 1650, 267, 1079, 540, 519, 3237, 26906, 1767, 602, 952, 782, 1352, 4941, 729, 547, 2285, 519, 6690, 513, 12687, 5346, 1289, 267, 1352, 1223, 723, 2944, 621, 8335, 780, 3080, 2385, 1767, 281, 1412, 296, 1131, 723, 9053, 621, 952, 1352, 1185, 1572, 519, 3237, 538, 543, 2016, 873, 519, 2182, 5013, 267, 3079, 540, 21006, 519, 6015, 540, 519, 6690, 9538, 692, 288, 328, 26280, 3427, 623, 276, 4569, 11404, 272, 476, 1220, 277, 630, 304, 4366, 2020, 2704, 15728, 4421, 4278, 823, 607, 1082, 8096, 276, 570, 6879, 16630, 607, 8096, 1015, 570, 27691, 16630, 269, 1261, 849, 4421, 7466, 607, 1082, 8096, 1015, 570, 6879, 16630, 607, 8096, 736, 570, 6879, 16630, 269, 1261, 6394, 8096, 8182, 811, 689, 9513, 8096, 276, 570, 6879, 16630, 982, 689, 9513, 8096, 736, 570, 6879, 16630, 780, 320, 264, 1215, 1454, 2724, 1705, 646, 2445, 689, 9513, 8096, 276, 570, 6879, 16630, 888, 321, 264, 1215, 1082, 570, 6879, 16630, 1705, 646, 6133, 15587, 2496, 11405, 692, 3891, 6394, 8096, 8182, 811, 9513, 8096, 276, 570, 6879, 16630, 982, 689, 9513, 8096, 736, 570, 6879, 16630, 780, 277, 4559, 1107, 476, 275, 4559, 476, 955, 268, 8096, 8182, 692, 273, 4559, 476, 955, 268, 8096, 8182, 692, 272, 1770, 476, 955, 268, 8096, 8182, 5258, 676, 476, 273, 815, 8096, 3199, 692, 304, 5416, 264, 1215, 1454, 2724, 1705, 646, 2445, 689, 9513, 8096, 276, 570, 6879, 16630, 2496, 277, 4559, 476, 955, 268, 476, 277, 1535, 8096, 3199, 815, 8096, 21878, 692, 12585, 281, 1261, 6394, 8096, 21878, 689, 9513, 8096, 276, 570, 6879, 16630, 780, 304, 6357, 264, 1215, 1082, 570, 6879, 16630, 1705, 646, 6133, 15587, 2496, 7268, 259, 276, 570, 6879, 16630, 264, 476, 955, 268, 8096, 21878, 454, 15478, 21878, 5258, 676, 8096, 276, 815, 476, 9834, 630, 307, 6879, 16630, 2020, 7268, 259, 1015, 570, 6879, 16630, 994, 275, 4559, 476, 955, 268, 476, 275, 1535, 8096, 3199, 815, 8096, 17168, 454, 15478, 17168, 5258, 676, 8096, 1015, 815, 476, 3953, 630, 307, 6879, 16630, 2020, 7268, 259, 736, 570, 6879, 16630, 994, 275, 4559, 476, 955, 268, 476, 275, 1535, 8096, 3199, 815, 8096, 17168, 454, 15478, 17168, 5258, 676, 8096, 736, 815, 476, 1626, 630, 307, 6879, 16630, 2020, 13707, 1297, 540, 570, 6879, 16630, 4421, 692, 9834, 1341, 476, 3953, 1341, 476, 1626, 815, 476, 13893, 692, 12585, 281, 1261, 4421, 476, 13893, 570, 6879, 16630, 15587, 780, 293, 27518, 267, 5130, 476, 1556, 267, 476, 1220, 279, 692, 288, 328, 26280, 3427, 623, 276, 4569, 11404, 272, 476, 1220, 277, 630, 304, 5325, 2020, 12507, 3821, 267, 11709, 612, 320, 543, 4911, 5202, 2671, 476, 274, 21168, 540, 26265, 1851, 2933, 269, 3962, 17142, 3568, 476, 5197, 26265, 269, 3933, 3821, 3217, 476, 3445, 26265, 1247, 4911, 5202, 3217, 476, 274, 2053, 607, 1082, 26265, 607, 519, 2698, 1297, 540, 26265, 11709, 612, 320, 543, 3933, 3821, 4309, 269, 1403, 11709, 612, 320, 568, 547, 1205, 519, 1482, 1297, 540, 26265, 607, 4911, 5202, 267, 875, 1082, 26265, 1590, 4911, 5202, 2285, 547, 1200, 2496, 11405, 692, 275, 4559, 1341, 476, 3445, 1341, 476, 17734, 476, 955, 268, 476, 25851, 454, 275, 4559, 476, 955, 268, 476, 25851, 1107, 476, 17734, 1107, 476, 3445, 815, 476, 5197, 454, 272, 1770, 476, 955, 268, 476, 5197, 5258, 676, 476, 275, 815, 476, 3393, 692, 309, 534, 612, 320, 814, 476, 3393, 26265, 630, 272, 1770, 994, 17951, 601, 814, 476, 274, 4559, 1341, 476, 17734, 476, 955, 8894, 263, 274, 1535, 476, 3393, 264, 1341, 476, 17734, 454, 284, 476, 13670, 1341, 476, 17734, 454, 284, 476, 28147, 692, 17951, 601, 814, 476, 28147, 1107, 476, 3393, 815, 476, 11740, 811, 982, 11709, 612, 320, 692, 11997, 267, 1352, 814, 547, 2285, 476, 955, 8894, 11740, 5258, 676, 476, 273, 815, 476, 5197, 692, 12585, 281, 4911 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5814, 26417, 476, 1948, 3474, 320, 23513, 597, 1714, 2895, 16343, 26417, 586, 524, 1173, 541, 17485, 3611, 657, 454, 5814, 15259, 476, 1948, 3474, 320, 524, 1173, 541, 1714, 2895, 16343, 632, 3611, 657, 964, 1372, 3288, 678, 25917, 632, 1128, 531, 30685, 454, 5228, 7194, 1104, 1611, 267, 588, 22563, 454, 5814, 2979, 454, 825, 454, 258, 25159, 2518, 525, 454, 303, 2752, 7728, 32707, 7644, 815, 15259, 29624, 6155, 597, 4067, 263, 657, 29624, 6155, 597, 4067, 263, 1029, 12803, 1029, 4917, 323, 21648, 564, 815, 32582, 476, 1948, 5903, 320, 546, 27475, 694, 9856, 534, 547, 323, 657, 17485, 13619, 340, 657, 1212, 15606, 692, 12163, 7049, 5028, 3288, 533, 29793, 30685, 2698, 632, 3288, 524, 783, 694, 1252, 15546, 15255, 18665, 652, 6652, 11188, 533, 9820, 586, 1008, 4532, 807, 563, 290, 16699, 796, 13619, 340, 334, 11188, 524, 3385, 642, 9369, 973, 756, 18480, 586, 547, 2742, 679, 24140, 31980, 17485, 2512, 611, 2803, 18085, 517, 2297, 563, 17442, 30458, 13619, 340, 334, 733, 1329, 324, 679, 17485, 17523, 17485, 521, 580, 340, 1304, 525, 3611, 657, 912, 20701, 258, 31262, 602, 2699, 519, 26417, 3758, 692, 3698, 18419, 22674, 4379, 5091, 7614, 626, 5560, 7614, 626, 2567, 3097, 825, 585, 1775, 538, 2039, 12759, 5560, 7614, 626, 15892, 1038, 3611, 531, 626, 5157, 4940, 16647, 263, 271, 994, 1038, 1948, 2745, 5560, 7614, 626, 5157, 7481, 1038, 1948, 2745, 10797, 825, 2132, 3611, 531, 626, 19638, 3698, 1224, 18316, 31526, 12173, 17107, 825, 609, 1930, 31526, 12173, 264, 607, 26417, 12803, 281, 476, 12361, 13449, 6262, 12364, 7838, 299, 267, 16780, 5317, 6889, 583, 325, 279, 8442, 734, 10507, 16948, 2323, 337, 679, 9486, 454, 1038, 7127, 815, 26417, 18667, 518, 6262, 12364, 12803, 994, 1038, 585, 1036, 538, 7127, 912, 2018, 10471, 6910, 263, 2958, 994, 825, 10471, 21014, 263, 271, 994, 825, 2132, 10471, 692, 258, 31262, 602, 21410, 519, 1611, 540, 513, 1592, 454, 3698, 1611, 6958, 4233, 263, 26383, 8217, 2187, 825, 2132, 1611, 263, 26383, 8217, 2020, 258, 31262, 602, 5173, 519, 3044, 11539, 454, 3698, 3044, 318, 22563, 2747, 263, 26383, 8217, 2187, 825, 2132, 588, 22563, 263, 26383, 8217, 2020, 258, 31262, 602, 1711, 513, 3611, 531, 626, 454, 3698, 18287, 5091, 7614, 626, 4433, 600, 9482, 1092, 267, 6241, 2187, 825, 3611, 531, 626, 815, 11713, 825, 585, 1775, 538, 2039, 12759, 4433, 600, 9482, 1092, 264, 910, 476, 272, 2187, 1038, 3611, 531, 626, 6910, 263, 15615, 4433, 600, 9482, 1092, 5157, 6012, 26383, 28413, 825, 2132, 3611, 531, 626, 692, 258, 31262, 602, 3339, 1125, 519, 3611, 531, 626, 454, 3698, 3339, 1125, 8217, 5560, 7614, 626, 2187, 825, 4463, 5091, 7614, 626, 815, 7003, 5560, 7614, 626, 264, 3097, 825, 2597, 5091, 7614, 626, 815, 7003, 5560, 7614, 626, 314, 271, 7481, 825, 1007, 8217, 815, 11713, 825, 3193, 8217, 815, 11713, 825, 1295, 8217, 815, 11713, 825, 585, 1775, 538, 2039, 263, 19417, 5091, 7614, 626, 2187, 1038, 4737, 815, 11713, 1038, 585, 795, 538, 2039, 263, 7076, 5091, 7614, 626, 2187, 2018, 952, 3611, 531, 626, 5157, 6012, 329, 316, 2652, 476, 1412, 300, 262, 610, 3611, 531, 626, 5157, 6012, 329, 316, 2652, 1412, 289, 12466, 3546, 4737, 6910, 5560, 7614, 626, 5157, 6012, 329, 7481, 2018, 3116, 912, 3546, 3693, 815, 630, 15615, 5560, 7614, 626, 5157, 6012, 329, 8079, 910, 1611, 6958, 4233, 263, 5632, 322, 5091, 7614, 626, 5560, 7614, 626, 267, 795, 30727, 1315, 3044, 318, 22563, 2747, 263, 5632, 322, 5091, 7614, 626, 5560, 7614, 626, 267, 795, 4917, 3546, 4737, 6910, 16216, 2211, 994, 2018, 1007, 8217, 6910, 21405, 994, 2018, 1948, 2745, 21405, 994, 2018, 1948, 2745, 4590, 2018, 1948, 10946, 8217, 6910, 32384, 21405, 4917, 2018, 1948, 2381, 8217, 6910, 263, 2381, 21405, 4917, 825, 1948, 2745, 2891, 10946, 281, 14307, 3193, 32384, 8217, 1070, 834, 2381, 281, 14307, 1295, 263, 2381, 8217, 4917, 825, 2132, 1007, 8217, 692, 258, 31262, 602, 19665, 519, 1239, 538, 6688, 692, 3698, 19665, 12774, 5560, 7614, 626, 2187, 825, 1007, 8217, 815, 11713, 825, 4463, 5091, 7614, 626, 815, 7003, 5560, 7614, 626, 264, 3097, 825, 2597, 5091, 7614, 626, 815, 7003, 5560, 7614, 626, 314, 271, 7481, 825, 585, 1775, 538, 2039, 263, 19417, 5091, 7614, 626, 2187, 1038, 4737, 815, 11713, 1038, 585, 795, 538, 2039, 263, 7076, 5091, 7614, 626, 2187, 2018, 952, 3611, 531, 626, 5157, 6012, 329, 316, 2652, 476, 1412, 300, 262, 610, 3611, 531, 626, 5157, 6012, 329, 316, 2652, 1412, 289, 12466, 3546, 4737, 6910, 5560, 7614, 626, 5157, 6012, 329, 7481, 2018, 3116, 912, 3546, 952, 3611, 531, 626, 5157, 6012, 329, 316, 3436, 910, 274, 543, 3611, 531, 626, 5157, 6012, 329, 316, 10922, 476, 272, 912, 7386, 4737, 6910, 263, 272, 994, 3546, 952, 3611, 531, 626, 5157, 6012, 329, 316, 3436, 476, 272, 543, 3611, 531, 626, 5157, 6012, 329, 316, 10922, 476, 275, 912, 7386, 4737, 6910, 263, 273, 994, 3546, 952, 3611, 531, 626, 5157, 6012, 329, 316, 3436, 476, 275, 543, 3611, 531, 626, 5157, 6012, 329, 316, 10922, 476, 278, 912, 7386, 4737, 6910, 263, 274, 994, 3546, 952, 3611, 531, 626, 5157, 6012, 329, 316, 3436, 476, 278, 543, 3611, 531, 626, 5157, 6012, 329, 316, 10922, 476, 1015, 912, 7386, 4737, 6910, 263, 275, 994, 3546, 952, 3611, 531, 626, 5157, 6012, 329, 316, 3436, 476, 1015, 543, 3611, 531, 626, 5157, 6012, 329, 316, 10922, 476, 1724, 912, 7386, 4737, 6910, 263, 276, 994, 1038, 1007, 8217, 6910, 21405, 994, 1038, 1820, 21405, 994, 1038, 1820, 4590, 825, 2132, 1007, 8217, 0, 4186, 716, 815, 13634, 825, 834, 21459, 4067, 9899, 834, 297, 2033, 1684, 324, 20350, 825, 834, 7483, 9899, 834, 25834, 268, 25834, 268, 28242, 272, 20350, 825, 834, 16942, 9899, 834, 11687, 287, 11687, 2593, 4840, 8679, 258, 7312, 3009, 1934, 1384, 454, 1721, 1775, 538, 3346, 912, 825, 1820, 6600, 262, 346, 328, 348, 2433, 2715, 4186, 716, 5157, 316, 348, 5073, 3097, 825, 454, 0, 454, 718, 5332, 1868, 815, 22373, 305, 558, 9222, 14824, 7692, 344, 14824, 305, 17080, 14824, 10387, 8270, 344, 2580, 834, 28061, 2580, 834, 294, 516, 3279, 2580, 834, 303, 6222, 807, 2580, 834, 291, 11961, 1446, 324, 257, 6540, 258, 7312, 3009, 979, 1934, 912, 3698, 6882, 6958, 4233, 28442, 2187, 825, 952, 2012, 269, 11034, 1873, 603, 3488, 305, 262, 2187, 1038, 2132, 2012, 692, 14310, 532, 5332, 1868, 815, 1592, 6600, 559, 614, 6600, 559, 614, 6958, 4233, 267, 718, 5332, 1868, 4917, 2745, 31114, 532, 5332, 1868, 2020, 7531, 0, 4289, 15058, 5332, 13246, 815, 1496, 275, 267, 453, 3199, 267, 453, 5952, 267, 453, 6795, 267, 453, 4391, 267, 476, 1839, 267, 476, 276, 267, 476, 5038, 267, 476, 5780, 267, 476, 10037, 267, 476, 736, 267, 476, 5038, 267, 476, 6078, 267, 476, 2420, 267, 476, 10602, 267, 476, 10602, 267, 476, 4649, 267, 476, 9834, 267, 476, 273, 267, 476, 6924, 6540, 454, 258, 7312, 3009, 1934, 912, 3698, 19467, 4671, 6851, 8217, 17338, 2187, 825, 9642, 815, 11713, 825, 1256, 815, 11713, 825, 6404, 5332, 13246, 815, 29129, 825, 585, 1775, 538, 1592, 15058, 5332, 13246, 912, 1038, 952, 1775, 4939, 273, 2525, 271, 912, 2018, 1256, 6910, 9217, 994, 1038, 3116, 912, 2018, 9642, 6910, 9217, 994, 8931, 825, 6404, 5332, 13246, 6910, 263, 15957, 994, 825, 6404, 5332, 13246, 6910, 16216, 1597, 2020, 825, 692, 825, 2132, 6404, 5332, 13246, 7531, 2745, 263, 1067, 613, 4671, 6851, 8217, 17338, 15058, 5332, 13246, 11723, 0, 454, 12849, 815, 18358, 299, 3554, 12887, 10387, 2742, 12887, 5591, 1695, 12887, 30469, 14746, 12887, 19365, 12887, 288, 9366, 12887, 22832, 12887, 3674, 629, 7578, 12887, 19868, 534, 12887, 306, 2684, 807, 22779, 262, 13051, 15924, 12887, 300, 807, 12887, 300, 1783, 12887, 13142, 19714, 12887, 292, 2993, 26400, 12887, 8649, 20782, 12887, 30469, 1853, 12887, 292, 557, 14979, 12887, 297, 659, 984, 12887, 6781, 580, 841, 22779, 262, 299, 1075, 553, 12887, 19604, 704, 12887, 28061, 12887, 10387, 1176, 12887, 20694, 6387, 12887, 14976, 9626, 12887, 20685, 534, 12887, 288, 854, 12887, 25405, 1408, 12887, 306, 1993, 807, 22779, 262, 300, 520, 12847, 12887, 292, 12848, 12887, 288, 16582, 12887, 32743, 2581, 12887, 30875, 12887, 306, 8364, 27451, 12887, 297, 24944, 12887, 309, 1112, 18319, 12887, 297, 11055, 12887, 288, 6319, 22779, 24202, 600, 3241, 12887, 294, 15869, 12887, 5353, 30807, 1014, 12887, 2419, 331, 4141, 12887, 21837, 12887, 290, 7056, 320, 12887, 290, 6621, 12887, 303, 523, 601, 2100, 12887, 310, 344, 3430, 12887, 305, 13704, 262, 6540, 454, 258, 7312, 3009, 979, 1934, 912, 3698, 2270, 6958, 4233, 28442, 2187, 825, 952, 2012, 14857, 935, 13935, 1029, 3488, 600, 262, 2187, 1038, 2132, 2012, 692, 2908, 8217, 815, 1592, 6600, 559, 614, 263, 935, 1555, 6958, 4233, 267, 12849, 4917, 2745, 28956, 8217, 264, 0, 5814, 21795, 607, 19073, 454, 5814, 11885, 607, 5286, 692, 5035, 1239, 318, 1326, 614, 1384, 825, 1219, 1239, 318, 2903, 4311, 267, 3758, 2187, 1038, 23288, 23351, 6396, 8745, 281, 1239, 318, 2903, 454, 23351, 13517, 281, 901, 1505, 13907, 519, 1239, 689, 519, 3758, 543, 6460, 883, 513, 21795, 1239, 18134, 454, 23351, 19243, 281, 16849, 513, 4578, 325, 29707, 267, 799, 568, 938, 1239, 585, 2866, 454, 23351, 2201, 23299, 281, 14780, 1047, 1401, 4003, 4586, 1038, 23288, 1038, 2119, 912, 2018, 1239, 815, 19073, 18667, 32269, 31526, 267, 16780, 5317, 815, 834, 3041, 302, 268, 279, 5952, 280, 268, 272, 2580, 19587, 10734, 611, 318, 6050, 25716, 994, 2018, 2132, 1239, 454, 1038, 4849, 1401, 4003, 607, 552, 912, 2018, 6318, 552, 692, 0, 5814, 11885, 607, 5286, 454, 5814, 21267, 28272, 607, 12301, 692, 1029, 718, 1029, 815, 18358, 6665, 262, 6540, 454, 3698, 1471, 9638, 1042, 2109, 267, 5168, 2187, 453, 12163, 453, 288, 1907, 585, 14839, 519, 2164, 1384, 453, 13640, 600, 4394, 454, 453, 1366, 734, 454, 453, 335, 1042, 2109, 281, 634, 10567, 2011, 32704, 3892, 267, 476, 274, 323, 11885, 5044, 267, 6093, 3337, 568, 630, 5038, 267, 5038, 267, 274, 994, 453, 13700, 3578, 453, 476, 2433, 634, 2666, 5168, 540, 2011, 32704, 3892, 267, 519, 1482, 3337, 607, 32252, 819, 692, 453, 14303, 5281, 454, 453, 1366, 734, 454, 453, 301, 5847, 267, 855, 1402, 909, 513, 6885, 602, 2982, 3308, 1242, 2164, 454, 453, 12163, 453, 10823, 8807, 2682, 16325, 22561, 267, 4453, 21653, 14352, 736, 267, 476, 1015, 1070, 546, 7032, 284, 3199, 267, 3068, 10233, 8782, 342, 3299, 6316, 10233, 8782, 330, 5073, 453, 258, 10567, 1239, 454, 453, 10823, 16553, 7120, 263, 28664, 994, 453, 10823, 26644, 3488, 303, 9438, 539, 2604, 5073, 453, 10823, 269, 574, 19651, 9638, 1042, 2109, 18020, 281, 267, 271, 3910, 4699, 777, 8782, 27826, 10807, 258, 642, 2381, 15871, 1911, 267, 341, 10946, 284, 1911, 267, 4699, 777, 8782, 27826, 5073, 453, 10823, 269, 10233, 8663, 4590, 453, 10823, 16553, 7120, 263, 28590, 994, 453, 10823, 26644, 3488, 303, 9438, 539, 1535, 6991, 5073, 453, 10823, 269, 574, 19651, 9638, 1042, 2109, 18020, 281, 267, 272, 3910, 4699, 777, 8782, 27826, 5073, 453, 10823, 269, 10233, 8663, 4590, 453, 10823, 16553, 7120, 263, 18357, 994, 453, 10823, 26644, 3488, 303, 9438, 539, 586, 6991, 5073, 453, 10823, 269, 574, 19651, 9638, 1042, 2109, 18020, 281, 267, 273, 3910, 4699, 777, 8782, 27826, 5073, 453, 10823, 269, 10233, 8663, 10797, 453, 258, 2666, 13700, 3578, 1239, 454, 453, 10823, 16553, 7120, 263, 31172, 994, 453, 10823, 26644, 3488, 294, 1037, 5168, 2604, 5073, 453, 10823, 269, 574, 19651, 6025, 337, 3578, 18020, 281, 267, 271, 3910, 9492, 777, 8782, 27826, 5073, 453, 10823, 269, 10233, 8663, 4590, 453, 10823, 16553, 7120, 263, 28178, 994, 453, 10823, 26644, 3488, 294, 1037, 5168, 1535, 6991, 5073, 453, 10823, 269, 574, 19651, 6025, 337, 3578, 18020, 281, 267, 272, 3910, 9492, 777, 8782, 27826, 5073, 453, 10823, 269, 10233, 8663, 4590, 453, 10823, 16553, 7120, 263, 28656, 994, 453, 10823, 26644, 3488, 294, 1037, 5168, 586, 6991, 5073, 453, 10823, 269, 574, 19651, 6025, 337, 3578, 18020, 281, 267, 273, 3910, 9492, 777, 8782, 27826, 5073, 453, 10823, 269, 10233, 8663, 10797, 453, 258, 3017, 454, 453, 10823, 16553, 7120, 263, 29876, 994, 453, 10823, 26644, 3488, 11795, 2397, 2604, 5073 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1022, 1761, 1426, 4205, 267, 2523, 952, 596, 2461, 2921, 6527, 585, 2175, 971, 607, 1164, 1973, 2604, 267, 4160, 267, 610, 20026, 563, 8855, 267, 3025, 779, 1560, 23465, 8335, 267, 865, 621, 779, 1271, 547, 2628, 3007, 547, 707, 1378, 2189, 6114, 269, 1403, 596, 5469, 1022, 6397, 2427, 2360, 610, 2242, 538, 875, 707, 6527, 616, 2324, 267, 581, 2386, 547, 1865, 873, 609, 707, 3782, 8502, 269, 1358, 666, 1683, 10531, 5583, 543, 948, 596, 1118, 5483, 3664, 827, 707, 2732, 543, 6646, 20786, 563, 31010, 6226, 24304, 2657, 609, 26678, 543, 27999, 15448, 454, 31010, 1434, 9667, 1072, 568, 2629, 585, 2949, 1134, 5630, 267, 2523, 607, 649, 2085, 269, 1635, 1818, 2241, 8192, 543, 6197, 2242, 267, 649, 666, 1489, 938, 9667, 1062, 543, 3895, 6099, 12536, 269, 3371, 616, 930, 1883, 2188, 547, 2015, 912, 1432, 649, 3548, 543, 875, 649, 3548, 4249, 513, 1713, 1909, 538, 9667, 1072, 269, 30459, 6775, 11656, 3536, 899, 5613, 267, 5388, 267, 2898, 9274, 267, 543, 22053, 883, 938, 2732, 666, 3895, 2834, 15108, 5322, 543, 2061, 19228, 269, 898, 568, 5227, 547, 8532, 693, 2547, 476, 1839, 268, 1789, 10101, 540, 6775, 829, 1554, 585, 4079, 269, 25530, 7899, 540, 12862, 267, 2523, 1216, 267, 2337, 21352, 22454, 543, 8897, 519, 8574, 998, 519, 9667, 8778, 269, 3680, 532, 7050, 4616, 540, 9268, 3536, 267, 24494, 16152, 267, 543, 6067, 6470, 22304, 3536, 666, 948, 2226, 513, 2635, 8937, 563, 19894, 2168, 2534, 711, 1152, 2640, 9025, 1072, 855, 849, 10607, 12536, 269, 12056, 538, 2238, 899, 1490, 7416, 6972, 267, 15203, 267, 610, 10977, 666, 12954, 519, 6091, 538, 519, 16063, 8778, 267, 5009, 3608, 12536, 269, 13667, 585, 693, 2547, 476, 1789, 3764, 540, 9793, 27233, 3635, 1034, 2395, 540, 519, 3018, 547, 28231, 519, 9667, 2640, 563, 24791, 667, 543, 25289, 454, 24791, 667, 543, 7513, 616, 1898, 5567, 585, 4509, 2178, 9667, 1599, 269, 12192, 667, 2337, 10038, 519, 10338, 540, 7513, 267, 799, 568, 1271, 585, 4887, 1599, 267, 1519, 519, 6091, 538, 519, 9667, 8778, 269, 6153, 1426, 2959, 540, 6171, 667, 1331, 9761, 3165, 267, 25167, 10683, 2472, 267, 543, 4212, 586, 565, 802, 269, 25289, 666, 581, 1336, 538, 10683, 2472, 267, 21364, 3039, 5388, 267, 543, 25167, 2030, 2861, 5144, 8925, 269, 1403, 2877, 267, 9360, 949, 581, 5227, 676, 513, 3782, 3318, 547, 2327, 7850, 6981, 563, 28036, 543, 13262, 5004, 454, 26660, 3207, 543, 2500, 2566, 2359, 616, 2629, 585, 513, 2635, 9667, 1062, 269, 18648, 3207, 543, 1164, 2566, 2157, 666, 7519, 3339, 12536, 543, 3565, 547, 16063, 2152, 899, 3679, 17406, 267, 30724, 3878, 267, 543, 8886, 762, 15108, 6794, 269, 13667, 585, 476, 278, 268, 280, 3108, 540, 1964, 995, 3207, 1142, 3781, 543, 2936, 2566, 2359, 2553, 971, 607, 9066, 267, 2620, 7244, 5751, 267, 610, 2502, 538, 12348, 602, 3142, 7772, 543, 11005, 563, 347, 30144, 31346, 585, 6226, 24304, 2657, 454, 347, 4462, 11794, 31346, 602, 666, 18748, 6226, 3878, 454, 3528, 6220, 891, 8192, 543, 6197, 2242, 883, 938, 3232, 13467, 267, 649, 666, 11126, 938, 9667, 1072, 543, 1489, 2949, 1134, 5630, 269, 898, 779, 1271, 547, 3314, 602, 3025, 779, 9667, 1062, 568, 2189, 267, 543, 621, 779, 1898, 547, 6432, 547, 938, 4703, 543, 5077, 609, 513, 3782, 3318, 585, 10531, 5796, 543, 5583, 563, 13349, 6226, 24304, 15136, 538, 28544, 454, 288, 3101, 2043, 616, 811, 12155, 547, 3384, 1585, 9667, 4713, 269, 1452, 2175, 666, 3648, 1764, 9667, 1072, 543, 2154, 1808, 2359, 2994, 543, 2126, 3681, 269, 3371, 616, 930, 540, 519, 1034, 1455, 9667, 4713, 2404, 609, 10172, 912, 268, 667, 1853, 6776, 983, 8376, 281, 901, 2783, 4386, 950, 1507, 533, 537, 2583, 1020, 538, 519, 16298, 540, 519, 3935, 269, 898, 666, 1291, 547, 2589, 971, 607, 14159, 1928, 267, 26533, 267, 543, 2242, 538, 15108, 6208, 563, 268, 2051, 28030, 9435, 281, 901, 568, 513, 1826, 540, 2860, 602, 6238, 538, 2901, 519, 3935, 610, 6439, 636, 269, 12580, 949, 1331, 6439, 531, 11702, 267, 10770, 2242, 538, 15108, 6208, 267, 543, 32584, 2597, 2530, 563, 268, 21619, 701, 1186, 807, 281, 4746, 1634, 607, 30724, 3878, 267, 7988, 701, 1186, 807, 568, 6353, 676, 18596, 1928, 610, 9636, 538, 519, 5580, 17737, 269, 898, 666, 581, 10483, 676, 2589, 971, 607, 26533, 267, 15353, 267, 543, 29463, 563, 268, 7054, 761, 762, 14332, 601, 15540, 630, 296, 7034, 2567, 30214, 568, 513, 5312, 4524, 602, 5540, 519, 1804, 16892, 269, 898, 568, 2404, 609, 2589, 899, 14159, 1928, 267, 26533, 267, 19228, 267, 543, 13165, 563, 268, 769, 11987, 14332, 601, 8376, 630, 296, 9720, 2567, 901, 2165, 13315, 2175, 971, 607, 15867, 18255, 779, 2068, 543, 22377, 894, 897, 4345, 267, 799, 4125, 5312, 6553, 540, 519, 9667, 8778, 269, 12580, 666, 1331, 14159, 1928, 267, 13165, 267, 6439, 531, 11702, 267, 543, 2597, 2530, 563, 268, 595, 27112, 8376, 281, 595, 27112, 2068, 568, 606, 16991, 4524, 15427, 676, 519, 4616, 540, 15347, 269, 898, 666, 2014, 3441, 547, 519, 16298, 540, 519, 1507, 16892, 543, 1291, 547, 2589, 971, 607, 13165, 267, 14159, 1928, 267, 543, 4731, 25388, 1632, 540, 5567, 563, 268, 30887, 525, 23569, 4676, 12999, 8376, 630, 294, 26314, 2567, 717, 26314, 568, 513, 5312, 2783, 538, 799, 7181, 3679, 8928, 1394, 883, 519, 24647, 267, 4929, 2589, 971, 607, 29463, 267, 1036, 4026, 2787, 267, 543, 7411, 24948, 563, 4322, 9667, 4713, 666, 7494, 1860, 606, 1367, 779, 2298, 540, 1272, 543, 949, 2154, 2564, 6304, 585, 1697, 2359, 269, 898, 568, 1898, 585, 10172, 2043, 547, 581, 3222, 540, 891, 2175, 543, 3343, 3617, 2564, 1416, 543, 5796, 547, 3927, 4383, 741, 9667, 1072, 563, 347, 6781, 12645, 1928, 267, 26533, 267, 2242, 538, 15108, 6208, 454, 347, 11947, 1922, 9200, 2732, 267, 6646, 585, 1928, 543, 6553, 267, 6391, 538, 4049, 2665, 454, 31340, 624, 531, 11702, 267, 2242, 538, 15108, 6208, 267, 32584, 2597, 2530, 454, 16085, 29864, 267, 5982, 3797, 267, 18068, 454, 347, 308, 3899, 14159, 1928, 267, 26533, 267, 15353, 267, 29463, 454, 25238, 2884, 776, 2242, 267, 6646, 547, 2569, 7181, 3679, 267, 2566, 2359, 2553, 454, 347, 296, 337, 761, 762, 14332, 601, 15540, 630, 296, 7034, 994, 347, 6781, 12645, 1928, 267, 26533, 267, 19228, 267, 13165, 454, 25238, 2884, 776, 12381, 267, 2566, 2359, 2553, 267, 6646, 585, 10835, 8323, 454, 347, 1103, 11987, 14332, 601, 8376, 630, 296, 9720, 994, 347, 6781, 12645, 1928, 267, 13165, 267, 6439, 531, 11702, 267, 2597, 2530, 454, 347, 8469, 1709, 547, 2569, 6553, 267, 8192, 2242, 267, 6391, 538, 4049, 2665, 454, 347, 13312, 1551, 9996, 267, 14159, 1928, 267, 4731, 25388, 1632, 540, 5567, 454, 347, 1805, 2774, 15347, 6954, 2732, 267, 6646, 585, 10835, 8323, 267, 9422, 9360, 454, 347, 294, 770, 549, 525, 23569, 4676, 12999, 8376, 630, 294, 26314, 994, 347, 29587, 14315, 267, 1036, 4026, 2787, 267, 7411, 24948, 454, 25238, 2884, 776, 12381, 267, 6646, 547, 2569, 7181, 3679, 267, 6197, 2242, 454, 19187, 2359, 540, 891, 9667, 4713, 949, 4125, 513, 4999, 540, 6197, 2242, 267, 8192, 12381, 267, 6646, 267, 543, 267, 538, 930, 2665, 267, 10551, 7459, 269, 898, 568, 2629, 585, 10172, 2043, 547, 960, 5702, 609, 741, 3782, 7426, 547, 1020, 513, 10531, 2126, 1544, 602, 9607, 741, 1808, 2115, 543, 2589, 563, 10048, 1771, 11150, 585, 6226, 24304, 15136, 454, 2691, 621, 2501, 547, 5883, 9667, 4713, 538, 10172, 2043, 267, 513, 4999, 540, 8192, 543, 6197, 12381, 666, 581, 2500, 269, 1635, 7114, 9594, 3536, 602, 22652, 2589, 543, 9319, 610, 12145, 741, 4616, 267, 2043, 666, 7413, 9636, 543, 2087, 9667, 1599, 269, 898, 568, 1271, 547, 5077, 609, 513, 3782, 3318, 610, 10805, 2732, 23790, 547, 1020, 513, 10531, 1544, 602, 3217, 883, 2272, 1808, 8192, 2115, 543, 9993, 563, 1103, 1840, 547, 8192, 2242, 267, 4509, 513, 2635, 1560, 2597, 568, 2629, 585, 5883, 9667, 4713, 269, 21418, 2597, 666, 2322, 2604, 593, 519, 9667, 1062, 543, 22009, 2589, 269, 30459, 2834, 2168, 2534, 883, 3232, 13467, 666, 711, 1152, 948, 609, 2597, 2359, 855, 849, 3895, 2834, 15108, 5322, 543, 2949, 9667, 1072, 563, 304, 3726, 1154, 7296, 568, 1776, 1271, 1900, 538, 5883, 9667, 4713, 269, 25003, 814, 1044, 5532, 547, 1585, 16063, 2152, 267, 1519, 3679, 17406, 543, 7181, 21385, 269, 1635, 29655, 7296, 267, 2043, 666, 2569, 16698, 543, 6553, 538, 519, 9667, 8778, 267, 3850, 585, 1732, 12536, 543, 10835, 8323, 563, 2108, 3528, 26724, 7181, 7888, 3536, 543, 12561, 2635, 4189, 6208, 267, 10172, 2043, 666, 1489, 9667, 1599, 543, 3565, 547, 2635, 10172, 2949, 3034, 1103, 930, 2665, 267, 6527, 949, 581, 11311, 547, 13468, 2589, 2404, 609, 9667, 4713, 269, 4165, 659, 1749, 267, 799, 9243, 1125, 7181, 3679, 267, 666, 1683, 8323, 689, 2589, 899, 29463, 543, 30724, 3878, 269, 1160, 2023, 6802, 20127, 267, 593, 519, 824, 1688, 267, 2569, 519, 2504, 540, 7181, 3679, 543, 949, 581, 5227, 585, 2043, 609, 2175, 971, 607, 717, 26314, 269, 14640, 26817, 1551, 515, 531, 8069, 666, 948, 4383, 2589, 540, 13165, 538, 1978, 9667, 4713, 563, 2005, 568, 1271, 547, 4063, 602, 6646, 3681, 1058, 581, 5941, 609, 513, 3782, 3318, 267, 607, 789, 949, 723, 1761, 2427, 2360, 610, 4205, 609, 824, 6527, 269, 589, 9488, 6268, 540, 606, 1367, 779, 2564, 1686, 543, 2589, 568, 2556, 547, 3313, 519, 1034, 3617, 543, 2500, 6646, 2126, 585, 741, 1808, 9667, 4524, 563, 8368, 281, 26678, 543, 27999, 3525, 5874, 585, 19737, 6226, 24304, 15136, 454, 347, 22879, 9594, 3536, 454, 347, 26368, 3536, 602, 22009, 2589, 543, 3970, 610, 9004, 741, 4616, 563, 347, 14611, 1555, 513, 2635, 1560, 2597, 454, 347, 2750, 947, 2597, 666, 22009, 9667, 2589, 267, 865, 11441, 585, 513, 2635, 2597, 998, 1697, 6484, 543, 2834, 2168, 2534, 563, 347, 10712, 3183, 666, 24395, 622, 9667, 4713, 267, 865, 29655, 7296, 666, 1291, 547, 10835, 8323, 543, 4824, 12536, 563, 347, 8256, 738, 609, 3782, 3318, 610, 10805, 2732, 23790, 454, 347, 14946, 513, 10531, 1544, 602, 15109, 1367, 8192, 2115, 543, 9993, 563, 347, 13706, 6646, 3681, 454, 347, 28097, 609, 513, 3782, 3318, 547, 3313, 952, 6646, 949, 581, 3617, 585, 10835, 2359, 563, 18893, 30093, 2732, 543, 4509, 9667, 1599, 616, 4105, 585, 2635, 10172, 269, 28544, 2043, 609, 6213, 7181, 338, 1058, 1118, 2500, 9422, 5079, 547, 1489, 741, 9667, 1072, 269, 1635, 26724, 7181, 7888, 3536, 543, 12561, 2635, 4189, 6208, 267, 649, 666, 3895, 6099, 12536, 543, 2949, 1134, 5630, 563, 2026, 649, 2085, 267, 2242, 538, 12536, 543, 1426, 7109, 1734, 666, 2049, 269, 11790, 971, 607, 8519, 7181, 3679, 267, 693, 13116, 8819, 8539, 267, 543, 703, 11217, 1734, 547, 1978, 3536, 666, 17225, 1434, 6484, 269, 1717, 267, 998, 8192, 12381, 543, 6197, 11941, 267, 649, 666, 4383, 891, 2591, 543, 2226, 513, 6213, 7181, 563, 2005, 568, 2629, 547, 581, 13533, 540, 1808, 9667, 4713, 2404, 609, 10172, 543, 3343, 3617, 2564, 5796, 585, 741, 2359, 269, 1635, 7114, 9594, 3536, 267, 9319, 610, 12145, 741, 4616, 267, 543, 6220, 6527, 896, 2564, 5583, 950, 2556, 267, 649, 666, 13468, 2589, 543, 2087, 9667, 1599, 563, 3528, 26724, 9422, 5079, 585, 6213, 7181, 338, 267, 649, 666, 1489, 2635, 10172, 543, 11126, 9667, 1072, 269, 14171, 1416, 540, 938, 9667, 1062, 998, 513, 7181, 7888, 2732, 543, 12561, 513, 2635, 6197, 666, 3565, 547, 2949, 1134, 5630, 543, 2327, 513, 6126, 543, 16180, 1272, 607, 649, 2085, 563, 1432, 616, 930, 9422, 5079, 585, 6213, 7181, 338, 538, 10172, 888, 5278, 9422, 5079, 585, 6213, 7181, 338, 538, 10172, 1331, 4189, 4130, 267, 811, 7928, 6980, 267, 4227, 519, 2179, 540, 3170, 3773, 547, 3536, 267, 1904, 532, 585, 1970, 19339, 3681, 267, 10438, 25496, 5144, 2472, 267, 543, 1373, 13533, 540, 1978, 1426, 1673, 2607, 4205, 563, 1692, 1281, 8519, 7181, 3679, 1764, 12536, 888, 5719, 920, 1078, 7181, 3679, 666, 1291, 547, 4606, 540, 30724, 3878, 269, 1677, 4383, 713, 267, 621, 568, 5227, 547, 3548, 4130, 267, 811, 7928, 6980, 547, 8897, 519, 24913, 593, 519, 7181, 543, 3895, 1732, 12536, 563, 1432, 568, 693, 13116, 8819, 8539, 543, 875, 1281, 621, 1860, 8770, 10338 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1582, 11859, 454, 1038, 586, 815, 1582, 13885, 692, 1038, 952, 11059, 269, 16810, 2652, 2962, 912, 2018, 586, 815, 1582, 13885, 1341, 476, 272, 454, 1038, 8640, 11059, 6185, 32052, 2652, 2962, 912, 2018, 586, 815, 1582, 13885, 910, 476, 272, 454, 1038, 8640, 11059, 269, 4041, 10499, 2652, 2962, 912, 2018, 1535, 815, 1582, 11859, 910, 476, 272, 454, 1038, 8640, 11059, 10611, 20846, 2652, 2962, 912, 2018, 1535, 815, 1582, 11859, 1341, 476, 272, 692, 1038, 952, 630, 271, 10922, 1535, 2999, 1582, 9884, 5954, 264, 543, 630, 271, 10922, 586, 2999, 1582, 269, 19417, 264, 543, 711, 1582, 269, 21232, 3599, 20572, 267, 586, 14158, 2018, 1582, 11859, 815, 1535, 454, 2018, 1582, 13885, 815, 586, 692, 1038, 1948, 22352, 5003, 3599, 4786, 454, 1038, 1582, 11519, 338, 16428, 269, 26303, 4311, 11859, 267, 1582, 13885, 267, 1582, 269, 21232, 3599, 267, 1582, 6230, 777, 2020, 825, 1219, 4274, 4311, 2187, 1038, 8173, 1038, 717, 1115, 519, 2962, 3144, 676, 519, 4274, 3609, 585, 519, 1699, 4305, 780, 1038, 2433, 8873, 281, 519, 4274, 2962, 454, 1038, 29185, 1038, 2132, 11059, 12991, 24535, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 3804, 13448, 4311, 2187, 1038, 2132, 1582, 11519, 339, 2532, 11859, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 3804, 14729, 4311, 2187, 1038, 2132, 1582, 11519, 339, 2532, 13885, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 3804, 318, 12296, 4311, 2187, 1038, 2132, 1582, 11519, 339, 2532, 9884, 5954, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 3804, 318, 19417, 4311, 2187, 1038, 2132, 1582, 11519, 339, 2532, 269, 19417, 454, 0, 5814, 11885, 607, 5286, 692, 5228, 21773, 1104, 2271, 5319, 636, 7531, 5035, 20431, 3599, 263, 4504, 5319, 636, 2187, 825, 8173, 825, 1323, 21773, 10503, 2009, 2829, 540, 519, 9300, 4786, 563, 825, 29185, 825, 6167, 298, 301, 32052, 815, 476, 271, 454, 825, 595, 4041, 2752, 815, 476, 272, 454, 825, 744, 6717, 16810, 296, 3633, 815, 476, 273, 7531, 5035, 12384, 306, 16428, 912, 825, 8173, 825, 589, 9300, 799, 666, 3713, 1022, 21677, 1369, 513, 4009, 3148, 1472, 519, 8665, 563, 825, 29185, 825, 1219, 6449, 8181, 9191, 1345, 267, 26195, 267, 8953, 267, 4786, 22561, 2187, 1038, 8173, 1038, 19461, 3278, 519, 9300, 780, 1038, 2433, 12407, 26195, 281, 519, 12445, 1604, 713, 9300, 13333, 538, 454, 1038, 2433, 12407, 8953, 281, 519, 5021, 3845, 630, 514, 2281, 264, 547, 799, 519, 9300, 666, 3713, 454, 1038, 2433, 12407, 4786, 281, 18593, 3355, 2418, 585, 519, 5003, 3599, 4786, 454, 1038, 29185, 1038, 1582, 11519, 523, 341, 815, 26195, 454, 1038, 1582, 11519, 31709, 815, 8953, 692, 1038, 952, 4786, 568, 7183, 912, 2018, 1582, 11519, 14090, 815, 5286, 269, 21459, 263, 523, 341, 269, 31039, 17482, 267, 20431, 3599, 269, 7419, 298, 301, 32052, 994, 1038, 3116, 912, 2018, 1582, 11519, 14090, 815, 5286, 6983, 4878, 9852, 777, 2020, 825, 1219, 9337, 4311, 2187, 1038, 8173, 1038, 5455, 30098, 513, 9300, 4786, 1759, 593, 519, 8665, 781, 1699, 2990, 454, 1038, 29185, 1038, 1535, 815, 1582, 11519, 523, 341, 11859, 454, 1038, 586, 815, 1582, 11519, 523, 341, 13885, 454, 1038, 13026, 815, 1582, 11519, 523, 341, 269, 31039, 692, 1038, 1535, 318, 11034, 815, 3193, 3287, 910, 1582, 11519, 31709, 267, 476, 271, 994, 1038, 586, 318, 11034, 815, 3193, 12169, 910, 1582, 11519, 31709, 267, 476, 271, 994, 1038, 1535, 318, 754, 815, 1295, 3287, 1341, 1582, 11519, 31709, 1341, 476, 272, 267, 1582, 11519, 523, 341, 9884, 5954, 994, 1038, 586, 318, 754, 815, 1295, 12169, 1341, 1582, 11519, 31709, 1341, 476, 272, 267, 1582, 11519, 523, 341, 269, 19417, 2020, 1038, 585, 1535, 29223, 538, 2039, 3287, 318, 11034, 267, 1535, 318, 754, 2187, 2018, 585, 586, 29223, 538, 2039, 12169, 318, 11034, 267, 586, 318, 754, 2187, 3546, 952, 13026, 20572, 29223, 267, 586, 29223, 14158, 7386, 1582, 11519, 14090, 20572, 29223, 267, 586, 29223, 316, 815, 20431, 3599, 20166, 6717, 16810, 296, 3633, 454, 3546, 3116, 912, 7386, 1582, 11519, 14090, 20572, 29223, 267, 586, 29223, 316, 815, 20431, 3599, 5861, 4041, 2752, 692, 825, 1219, 804, 821, 4311, 2187, 1038, 8173, 1038, 6282, 525, 513, 1007, 9300, 609, 519, 1482, 4786, 607, 713, 9300, 267, 855, 454, 1038, 799, 568, 711, 8242, 950, 713, 9300, 568, 8242, 780, 1038, 2433, 8873, 281, 513, 5299, 540, 713, 9300, 454, 1038, 29185, 1038, 2132, 12384, 306, 16428, 4311, 11519, 523, 341, 267, 1582, 11519, 31709, 267, 4786, 284, 1345, 11519, 14090, 2020, 825, 7711, 27393, 1399, 454, 825, 1219, 4786, 4311, 2187, 1038, 2132, 1582, 11519, 14090, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 8700, 4311, 2187, 1038, 2132, 1582, 11519, 523, 341, 9884, 5954, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 4463, 4311, 2187, 1038, 2132, 1582, 11519, 523, 341, 269, 19417, 7531, 5035, 18471, 306, 16428, 912, 825, 8173, 825, 589, 9300, 799, 666, 3713, 1022, 21677, 1369, 513, 9764, 3148, 1472, 519, 8665, 563, 825, 29185, 825, 1219, 6449, 8181, 9191, 1345, 267, 26195, 267, 8953, 267, 4786, 22561, 2187, 1038, 8173, 1038, 19461, 3278, 519, 9300, 780, 1038, 2433, 12407, 26195, 281, 519, 12445, 1604, 713, 9300, 13333, 538, 454, 1038, 2433, 12407, 8953, 281, 519, 5021, 3845, 630, 514, 2281, 264, 547, 799, 519, 9300, 666, 3713, 454, 1038, 2433, 12407, 4786, 281, 18593, 3355, 2418, 585, 519, 5003, 3599, 4786, 454, 1038, 29185, 1038, 1582, 11519, 523, 341, 815, 26195, 454, 1038, 1582, 11519, 31709, 815, 8953, 454, 1038, 1582, 11519, 3464, 32464, 815, 8953, 2608, 8953, 692, 1038, 952, 4786, 568, 7183, 912, 2018, 1582, 11519, 14090, 815, 5286, 269, 21459, 263, 523, 341, 269, 31039, 17482, 267, 20431, 3599, 269, 7419, 298, 301, 32052, 994, 1038, 3116, 912, 2018, 1582, 11519, 14090, 815, 5286, 6983, 4878, 9852, 777, 2020, 825, 1219, 9337, 4311, 2187, 1038, 8173, 1038, 5455, 30098, 513, 9300, 4786, 1759, 593, 519, 8665, 781, 1699, 2990, 454, 1038, 29185, 1038, 1535, 815, 1582, 11519, 523, 341, 11859, 454, 1038, 586, 815, 1582, 11519, 523, 341, 13885, 454, 1038, 13026, 815, 1582, 11519, 523, 341, 269, 31039, 692, 1038, 1535, 318, 11034, 815, 3193, 3287, 910, 1582, 11519, 31709, 267, 476, 271, 994, 1038, 586, 318, 11034, 815, 3193, 12169, 910, 1582, 11519, 31709, 267, 476, 271, 994, 1038, 1535, 318, 754, 815, 1295, 3287, 1341, 1582, 11519, 31709, 1341, 476, 272, 267, 1582, 11519, 523, 341, 9884, 5954, 994, 1038, 586, 318, 754, 815, 1295, 12169, 1341, 1582, 11519, 31709, 1341, 476, 272, 267, 1582, 11519, 523, 341, 269, 19417, 2020, 1038, 585, 1535, 29223, 538, 2039, 3287, 318, 11034, 267, 1535, 318, 754, 2187, 2018, 585, 586, 29223, 538, 2039, 12169, 318, 11034, 267, 586, 318, 754, 2187, 3546, 15848, 815, 1535, 29223, 910, 1535, 454, 3546, 10085, 815, 586, 29223, 910, 586, 692, 3546, 952, 630, 11459, 2608, 15848, 264, 1341, 630, 11276, 2608, 10085, 264, 10922, 1582, 11519, 3464, 32464, 912, 7386, 952, 13026, 20572, 29223, 267, 586, 29223, 14158, 13376, 1582, 11519, 14090, 20572, 29223, 267, 586, 29223, 316, 815, 20431, 3599, 20166, 6717, 16810, 296, 3633, 454, 7386, 3116, 912, 13376, 1582, 11519, 14090, 20572, 29223, 267, 586, 29223, 316, 815, 20431, 3599, 5861, 4041, 2752, 692, 825, 1219, 804, 821, 4311, 2187, 1038, 8173, 1038, 6282, 525, 513, 1007, 9300, 609, 519, 1482, 4786, 607, 713, 9300, 267, 855, 454, 1038, 799, 568, 711, 8242, 950, 713, 9300, 568, 8242, 780, 1038, 2433, 8873, 281, 513, 5299, 540, 713, 9300, 454, 1038, 29185, 1038, 2132, 18471, 306, 16428, 4311, 11519, 523, 341, 267, 1582, 11519, 31709, 267, 4786, 284, 1345, 11519, 14090, 2020, 825, 7711, 27393, 1399, 454, 825, 1219, 4786, 4311, 2187, 1038, 2132, 1582, 11519, 14090, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 8700, 4311, 2187, 1038, 2132, 1582, 11519, 523, 341, 9884, 5954, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 4463, 4311, 2187, 1038, 2132, 1582, 11519, 523, 341, 269, 19417, 7531, 5035, 8672, 306, 16428, 912, 825, 8173, 825, 589, 9300, 799, 666, 3713, 1022, 21677, 1369, 513, 9764, 3148, 1472, 519, 8665, 563, 825, 29185, 825, 1219, 6449, 8181, 9191, 1345, 267, 26195, 267, 4786, 22561, 2187, 1038, 8173, 1038, 19461, 3278, 519, 9300, 780, 1038, 2433, 12407, 26195, 281, 519, 12445, 1604, 713, 9300, 13333, 538, 454, 1038, 2433, 12407, 4786, 281, 18593, 3355, 2418, 585, 519, 5003, 3599, 4786, 454, 1038, 29185, 1038, 1582, 11519, 523, 341, 815, 26195, 692, 1038, 952, 4786, 568, 7183, 912, 2018, 1582, 11519, 14090, 815, 5286, 269, 21459, 263, 523, 341, 269, 31039, 17482, 267, 20431, 3599, 269, 7419, 298, 301, 32052, 994, 1038, 3116, 912, 2018, 1582, 11519, 14090, 815, 5286, 6983, 4878, 9852, 777, 2020, 825, 1219, 9337, 4311, 2187, 1038, 8173, 1038, 5455, 30098, 513, 9300, 4786, 1759, 593, 519, 8665, 781, 1699, 2990, 454, 1038, 29185, 1038, 1535, 815, 1582, 11519, 523, 341, 11859, 454, 1038, 586, 815, 1582, 11519, 523, 341, 13885, 692, 1038, 952, 1582, 11519, 523, 341, 269, 31039, 20572, 267, 586, 14158, 2018, 1582, 11519, 14090, 20572, 267, 586, 316, 815, 20431, 3599, 20166, 6717, 16810, 296, 3633, 454, 1038, 3116, 912, 2018, 1582, 11519, 14090, 20572, 267, 586, 316, 815, 20431, 3599, 5861, 4041, 2752, 692, 825, 1219, 804, 821, 4311, 2187, 1038, 8173, 1038, 6282, 525, 513, 1007, 9300, 609, 519, 1482, 4786, 607, 713, 9300, 267, 855, 454, 1038, 799, 568, 711, 8242, 950, 713, 9300, 568, 8242, 780, 1038, 2433, 8873, 281, 513, 5299, 540, 713, 9300, 454, 1038, 29185, 1038, 2132, 8672, 306, 16428, 4311, 11519, 523, 341, 267, 4786, 284, 1345, 11519, 14090, 2020, 825, 7711, 27393, 1399, 454, 825, 1219, 4786, 4311, 2187, 1038, 2132, 1582, 11519, 14090, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 8700, 4311, 2187, 1038, 2132, 1582, 11519, 523, 341, 9884, 5954, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 4463, 4311, 2187, 1038, 2132, 1582, 11519, 523, 341, 269, 19417, 454, 0, 5228, 21773, 1104, 2271, 5319, 636, 7531, 5035, 32190, 13750, 263, 4504, 5319, 636, 2187, 825, 8173, 825, 1323, 21773, 10503, 2009, 2829, 540, 519, 9300, 4786, 563, 825, 29185, 825, 6167, 298, 301, 32052, 815, 476, 271, 454, 825, 595, 4041, 2752, 815, 476, 272, 454, 825, 744, 6717, 16810, 296, 3633, 815, 476, 273, 7531, 5035, 12384, 306, 16428, 912, 825, 8173, 825, 589, 9300, 799, 666, 3713, 1022, 21677, 1369, 513, 4009, 3148, 1472, 519, 8665, 563, 825, 29185, 825, 1219, 6449, 8181, 9191, 1345, 267, 8953, 2187, 1038, 8173, 1038, 19461, 3278, 519, 9300, 780, 1038, 2433, 12407, 8953, 281, 519, 5021, 3845, 630, 514, 2281, 264, 547, 799, 519, 9300, 666, 3713, 454, 1038, 29185, 1038, 1582, 11519, 31709, 815, 8953, 692, 825, 1219, 9337, 4311, 267, 1535, 267, 586, 267, 5003, 3599, 8548, 777, 267, 9300, 8548, 777, 2187, 1038, 8173, 1038, 5455, 30098, 513, 9300, 4786, 689, 606, 5003, 3599, 4786, 780, 1038, 2433, 12407, 1535, 281, 519, 1535, 2990, 540, 519, 8665, 454, 1038, 2433, 12407, 586, 281, 519, 586, 2990, 540, 519, 8665, 454, 1038, 2433, 12407, 5003, 3599, 8548, 777, 281, 519, 5817, 5003, 3599, 4786, 454, 1038, 2433, 12407, 9300, 8548, 777, 281, 519, 9300, 4786, 547, 9337, 454, 1038, 29185, 1038, 1535, 318, 11034, 815, 3193, 3287, 910, 1582, 11519, 31709, 267, 476, 271, 994, 1038, 586, 318, 11034, 815, 3193, 12169, 910, 1582, 11519, 31709, 267, 476, 271, 994, 1038, 1535, 318, 754, 815, 1295, 3287, 1341, 1582, 11519, 31709, 1341, 476, 272, 267, 5003, 3599, 8548, 777, 17482, 314, 272, 7481, 1038, 586, 318, 754, 815, 1295, 12169, 1341, 1582, 11519, 31709, 1341, 476, 272, 267, 5003, 3599, 8548, 777, 17482, 314, 271, 20285, 1038, 585, 1535, 29223, 538, 2039, 3287, 318, 11034, 267, 1535, 318, 754, 2187, 2018, 585, 586, 29223, 538, 2039, 12169, 318, 11034, 267, 586, 318, 754, 2187, 3546, 952, 5003, 3599, 8548, 777, 20572, 29223, 267, 586, 29223, 14158, 7386, 9300, 8548, 777, 20572, 29223, 267, 586, 29223, 316, 815, 32190, 13750, 20166, 6717, 16810, 296, 3633, 454, 3546, 3116, 912, 7386, 9300, 8548, 777, 20572, 29223, 267, 586, 29223, 316, 815, 32190, 13750, 5861, 4041, 2752, 7531, 5035, 18471, 306, 16428, 912, 825, 8173, 825, 589, 9300, 799, 666, 3713, 1022, 21677, 1369, 513, 9764, 3148, 1472, 519, 8665, 563, 825 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 671, 815, 23367, 5825, 619, 7933, 822, 652, 10134, 270, 11386, 20000, 270, 6853, 577, 1301, 19061, 338, 31574, 10327, 318, 12435, 270, 7055, 825, 1948, 672, 952, 1412, 30502, 262, 711, 538, 15259, 269, 4289, 323, 597, 10031, 825, 1948, 1363, 15259, 6230, 330, 323, 597, 3488, 30502, 5073, 825, 1948, 672, 1948, 585, 1775, 538, 2039, 12759, 6600, 29707, 15892, 825, 1948, 672, 1948, 12301, 269, 1470, 742, 4590, 825, 1948, 672, 12301, 269, 574, 19651, 4311, 269, 10849, 3569, 994, 825, 1948, 672, 12301, 4732, 1511, 14808, 3488, 30502, 270, 262, 1341, 1193, 4311, 14714, 788, 18045, 264, 1341, 834, 269, 335, 978, 5602, 825, 1948, 7531, 5035, 10369, 21296, 14116, 2096, 269, 5319, 341, 17107, 825, 1219, 6449, 8181, 9191, 1345, 267, 6698, 267, 2116, 318, 30720, 284, 9873, 267, 3193, 14067, 10134, 284, 18605, 267, 1449, 8548, 1712, 25716, 17107, 1038, 1582, 269, 9146, 318, 11898, 815, 5624, 6185, 529, 4740, 263, 32188, 338, 17482, 314, 272, 316, 1341, 476, 272, 994, 1038, 1582, 269, 10849, 3569, 318, 11898, 815, 5624, 11065, 2135, 263, 869, 284, 271, 1421, 1164, 284, 5611, 271, 1421, 3337, 14352, 32188, 338, 17482, 314, 272, 3910, 2116, 318, 30720, 4297, 476, 1948, 2073, 323, 6943, 8782, 15615, 5038, 5073, 1038, 1582, 269, 10849, 3569, 815, 7183, 454, 1038, 1582, 8542, 1638, 9146, 815, 6698, 17482, 314, 272, 2639, 1038, 1582, 269, 32188, 338, 815, 6698, 454, 1038, 1582, 269, 32188, 338, 318, 10849, 815, 6698, 6983, 4878, 4590, 1038, 1582, 27982, 14067, 10134, 815, 3193, 14067, 10134, 454, 1038, 1582, 269, 10849, 318, 30720, 815, 2116, 318, 30720, 454, 1038, 1582, 6745, 652, 8548, 1712, 815, 1449, 8548, 1712, 692, 1038, 1582, 11519, 637, 564, 10797, 825, 1219, 6079, 4311, 267, 6079, 22561, 2187, 1038, 1582, 8542, 335, 318, 12690, 267, 6079, 815, 694, 5338, 8542, 335, 318, 12690, 263, 23092, 994, 1038, 2132, 1496, 23092, 6540, 825, 1219, 9041, 637, 564, 4311, 17107, 1038, 952, 1582, 6745, 652, 8548, 1712, 912, 2018, 1582, 269, 11034, 16229, 815, 1582, 269, 32188, 338, 17482, 314, 271, 316, 910, 476, 28360, 454, 1038, 3116, 912, 2018, 1582, 269, 11034, 16229, 815, 28219, 842, 4311, 269, 10849, 318, 30720, 267, 1582, 269, 32188, 338, 17482, 314, 271, 316, 910, 630, 18605, 266, 1345, 27982, 14067, 10134, 4917, 1038, 1582, 269, 754, 16229, 815, 1582, 269, 11034, 16229, 1341, 1582, 27982, 14067, 10134, 910, 476, 272, 454, 1038, 1582, 269, 9690, 16229, 815, 1582, 269, 11034, 16229, 454, 1038, 1948, 2990, 815, 28219, 842, 263, 271, 267, 476, 273, 994, 1038, 1948, 1699, 318, 23748, 815, 10581, 263, 32188, 338, 269, 559, 665, 314, 9690, 16229, 267, 1496, 6570, 316, 7481, 1038, 1948, 1930, 318, 23748, 815, 1699, 318, 23748, 454, 1038, 1582, 6745, 4973, 23631, 1189, 815, 476, 271, 454, 1038, 1948, 6806, 318, 21752, 815, 476, 271, 692, 1038, 1582, 269, 2908, 318, 10849, 3569, 10797, 1038, 2132, 1582, 269, 10849, 3569, 692, 825, 1219, 1007, 318, 10849, 3569, 4311, 2187, 1038, 2116, 815, 1582, 269, 32188, 338, 318, 10849, 27007, 1345, 269, 9690, 16229, 910, 1582, 269, 10849, 318, 30720, 11924, 272, 281, 1345, 269, 9690, 16229, 266, 272, 4940, 553, 24624, 14061, 10520, 2821, 10797, 1038, 585, 546, 538, 2039, 263, 10849, 17482, 314, 271, 316, 2187, 2018, 2116, 314, 323, 316, 815, 630, 10849, 314, 323, 316, 910, 5286, 32557, 263, 10849, 314, 323, 316, 4297, 1315, 5286, 14714, 323, 263, 10849, 314, 323, 20285, 1038, 1582, 269, 10849, 3569, 815, 2116, 692, 825, 1219, 9041, 21163, 4311, 267, 2962, 2187, 1038, 5727, 305, 684, 835, 4626, 652, 788, 540, 519, 1604, 781, 6384, 563, 1038, 20504, 338, 606, 2962, 543, 7024, 513, 24042, 630, 10849, 3569, 267, 8007, 267, 2944, 267, 9623, 1916, 1038, 1948, 14803, 3701, 454, 2018, 2962, 630, 15953, 2567, 1323, 2962, 3177, 676, 519, 1604, 563, 1038, 1948, 16849, 454, 2018, 8343, 630, 15953, 2567, 32652, 781, 8343, 540, 519, 1699, 1604, 563, 2018, 8007, 630, 15615, 264, 2433, 2549, 870, 540, 8007, 8120, 1310, 3105, 2962, 563, 2018, 2944, 630, 2692, 18978, 2567, 6787, 519, 12558, 814, 8694, 267, 538, 799, 2013, 2417, 1900, 3890, 7125, 786, 2132, 3768, 18249, 2164, 563, 2018, 9623, 630, 18743, 2567, 1230, 13935, 25581, 10368, 1344, 630, 15276, 995, 585, 3181, 19982, 267, 543, 3006, 1565, 1916, 1038, 29185, 1038, 7682, 1582, 269, 9146, 318, 11898, 26769, 13935, 263, 9146, 2020, 1038, 952, 2962, 2652, 1582, 8542, 1638, 9146, 912, 2018, 8007, 815, 476, 271, 454, 1038, 3116, 912, 2018, 1582, 269, 9690, 318, 23748, 815, 10581, 4311, 269, 32188, 338, 269, 559, 665, 314, 1345, 269, 9690, 16229, 267, 1496, 9146, 316, 7481, 2018, 1582, 6745, 558, 6563, 318, 23748, 815, 10581, 4311, 269, 32188, 338, 269, 559, 665, 314, 1345, 269, 9690, 16229, 266, 272, 267, 1496, 9146, 316, 7481, 2018, 8007, 815, 1582, 10947, 30648, 1417, 318, 4219, 4311, 269, 9690, 318, 23748, 267, 1345, 6745, 558, 6563, 318, 23748, 994, 2018, 1582, 6745, 4973, 23631, 1189, 6834, 8007, 692, 1038, 2944, 815, 8771, 454, 1038, 952, 1582, 269, 9690, 16229, 2652, 1582, 269, 754, 16229, 610, 1582, 6745, 4973, 23631, 1189, 2999, 910, 1911, 912, 2018, 2944, 815, 6936, 692, 1038, 1582, 12500, 553, 5202, 318, 4219, 10797, 1038, 1582, 269, 9690, 16229, 6834, 476, 272, 454, 1038, 1582, 269, 2908, 318, 10849, 3569, 10797, 1038, 2132, 1582, 269, 10849, 3569, 267, 8007, 267, 2944, 267, 27835, 15045, 9166, 1345, 6745, 4973, 23631, 1189, 2676, 14030, 3546, 1412, 577, 326, 8548, 333, 9166, 1345, 32557, 318, 4219, 2676, 14030, 3546, 1412, 577, 326, 8548, 343, 9166, 1582, 27982, 318, 4219, 454, 14030, 3546, 7684, 692, 825, 1219, 15977, 318, 4219, 4311, 2187, 1038, 13797, 815, 1496, 328, 585, 1775, 538, 2039, 4311, 269, 32188, 338, 17482, 314, 272, 8079, 2639, 1038, 838, 815, 1582, 269, 32188, 338, 269, 559, 665, 314, 1345, 269, 11034, 16229, 267, 13797, 4940, 553, 24624, 4590, 1038, 524, 335, 815, 1582, 269, 32188, 338, 269, 559, 665, 314, 1345, 269, 9690, 16229, 267, 13797, 4940, 553, 24624, 10797, 1038, 1689, 815, 16733, 31983, 910, 838, 264, 1315, 838, 264, 2608, 476, 1911, 454, 1038, 1582, 32557, 318, 4219, 815, 5180, 18828, 32557, 263, 4219, 1070, 272, 994, 1038, 1582, 27982, 318, 4219, 815, 5180, 32384, 263, 4219, 1070, 272, 2020, 692, 825, 1219, 1205, 30648, 1417, 318, 4219, 4311, 267, 533, 272, 267, 533, 273, 2187, 1038, 2132, 5180, 9230, 263, 335, 273, 910, 533, 272, 264, 1315, 533, 272, 264, 2608, 476, 1911, 267, 272, 9239, 825, 1948, 454, 825, 1948, 1219, 11904, 4311, 267, 7154, 8782, 16058, 3299, 29148, 18989, 2187, 825, 1948, 672, 1948, 1780, 454, 825, 1948, 672, 1948, 535, 671, 815, 23367, 5825, 619, 7933, 822, 652, 10134, 270, 11386, 20000, 270, 6853, 577, 1301, 19061, 338, 31574, 10327, 318, 12435, 270, 7055, 825, 1948, 672, 952, 1412, 30502, 262, 711, 538, 15259, 269, 4289, 323, 597, 10031, 825, 1948, 1363, 15259, 6230, 330, 323, 597, 3488, 30502, 5073, 825, 1948, 672, 1948, 585, 1775, 538, 2039, 12759, 6600, 29707, 15892, 825, 1948, 672, 1948, 12301, 269, 1470, 742, 4590, 825, 1948, 672, 12301, 269, 574, 19651, 4311, 269, 10849, 3569, 994, 825, 1948, 672, 12301, 4732, 1511, 14808, 3488, 30502, 270, 262, 1341, 1193, 4311, 14714, 788, 18045, 264, 1341, 834, 269, 335, 978, 5602, 825, 1948, 692, 0, 258, 11649, 7757, 14255, 1947, 267, 844, 6506, 677, 814, 1804, 2196, 2053, 543, 2620, 1599, 1289, 10518, 593, 14249, 609, 454, 258, 1082, 5918, 27289, 1317, 519, 1016, 541, 7590, 949, 8428, 7494, 538, 2450, 269, 2290, 3070, 568, 547, 556, 19195, 3097, 258, 519, 5044, 865, 602, 782, 1605, 655, 660, 338, 1447, 982, 22141, 2408, 1101, 267, 4553, 676, 2609, 3160, 547, 519, 3097, 258, 22141, 267, 4553, 676, 2609, 3152, 982, 519, 22141, 269, 901, 568, 1634, 607, 10656, 3084, 9206, 3097, 258, 15652, 532, 267, 1317, 519, 10656, 3084, 9206, 5161, 540, 1614, 8880, 13164, 267, 1142, 538, 513, 3097, 258, 1114, 2681, 269, 3097, 16482, 258, 3503, 513, 1982, 602, 3217, 606, 5044, 589, 606, 15854, 4994, 1775, 883, 589, 267, 543, 556, 268, 1551, 5190, 3097, 258, 519, 2609, 971, 602, 782, 2609, 1447, 982, 589, 5157, 316, 2408, 1101, 267, 4553, 676, 2609, 3160, 547, 3097, 258, 1492, 22141, 267, 4553, 676, 2609, 3152, 982, 519, 22141, 780, 288, 815, 1496, 272, 267, 476, 277, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 273, 267, 476, 278, 2639, 2745, 2891, 6524, 18570, 281, 5602, 2745, 10490, 994, 8161, 815, 476, 274, 692, 3698, 6867, 577, 318, 4148, 698, 318, 4820, 819, 532, 10490, 267, 1775, 2187, 825, 5727, 8512, 819, 3403, 5044, 589, 2687, 547, 10656, 15652, 532, 1210, 3403, 4994, 1775, 27969, 454, 825, 22141, 815, 589, 5157, 2639, 825, 1948, 2387, 12294, 319, 568, 519, 4994, 540, 519, 2063, 3693, 540, 5044, 689, 519, 2451, 602, 568, 2539, 982, 22141, 563, 825, 2539, 815, 476, 271, 454, 825, 1948, 2387, 16029, 319, 568, 476, 519, 4994, 540, 519, 1101, 796, 5035, 1881, 3693, 689, 519, 2451, 563, 825, 3160, 815, 476, 271, 454, 825, 1948, 2387, 331, 24147, 319, 568, 519, 4994, 540, 519, 8473, 3693, 689, 519, 1318, 540, 519, 5044, 602, 568, 3677, 454, 825, 1948, 982, 22141, 563, 825, 3677, 815, 7003, 10490, 264, 3097, 825, 1247, 3160, 2999, 3677, 912, 1038, 952, 589, 314, 16029, 316, 2999, 22141, 912, 2018, 589, 314, 12294, 3910, 589, 314, 16029, 316, 815, 589, 314, 16029, 3910, 589, 314, 12294, 2639, 2018, 2539, 6834, 476, 272, 454, 2018, 3160, 6834, 476, 272, 454, 1038, 8640, 589, 314, 16029, 316, 2652, 22141, 912, 2018, 3160, 6834, 476, 272, 454, 1038, 3116, 912, 2018, 3677, 20699, 476, 272, 454, 2018, 589, 314, 331, 24147, 3910, 589, 314, 16029, 316, 815, 589, 314, 16029, 3910, 589, 314, 331, 24147, 2639, 825, 2132, 589, 7531, 2745, 2891, 5475, 15652, 532, 593, 1775, 284, 24001, 2668, 8971, 263, 8161, 4917, 2745, 5560, 8553, 318, 4148, 698, 318, 4820, 819, 532, 10490, 267, 4994, 4297, 8528, 0, 258, 270, 23591, 24800, 270, 7090, 692, 258, 4210, 777, 11353, 540, 1804, 476, 5038, 19229, 1297, 563, 258, 25956, 3009, 602, 3217, 606, 3403, 476, 5038, 19229, 9981, 543, 2220, 2355, 11353, 693, 17523, 2387, 328, 319, 543, 2387, 329, 26384, 5814, 19523, 692, 3698, 5352, 8548, 2532, 9217, 2187, 825, 1297, 815, 476, 272, 24177, 1775, 454, 825, 2132, 1297, 692, 3698, 23396, 10734, 1080, 28840, 267, 1775, 267, 795, 2187, 825, 9633, 10983, 815, 476, 272, 24177, 1775, 454, 825, 9633, 19553, 815, 476, 272, 24177, 795, 454, 825, 9633, 815, 9633, 10983, 1923, 9633, 19553, 22562, 825, 1297, 815, 1297, 9745, 9633, 454, 825, 2132, 1297, 692, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1820, 2891, 18933, 11474, 11353, 2433, 5602, 825, 1820, 263, 1873, 777, 10734, 1080, 17301, 4433, 903, 27769, 341, 314, 272, 25818, 703, 4433, 903, 27769, 341, 314, 273, 25818, 703, 4433, 903, 27769, 341, 314, 274, 316, 21875, 0, 258, 2843, 509, 4814, 3378, 13150, 26281, 18194, 3264, 7549, 3378, 13077, 4344, 18775, 267, 17095, 30324, 18775, 9924, 13953, 14359, 4138, 10948, 3264, 15671, 3378, 14359, 3264, 18194, 3264, 20977, 20046, 17095, 4814, 21134, 3264, 17095, 3522, 7549, 2433, 10780, 23485, 17221, 9261, 3522, 20046, 268, 8563, 5284, 371, 8563, 13077, 27569, 3522, 20046, 16044, 482, 7846, 4709, 7549, 30530, 19628, 454, 3698, 30164, 6600, 15635, 2187, 825, 1820, 3488, 13356, 28672, 5073, 825, 2132, 30775, 7531, 320, 815, 30164, 19304, 994, 2745, 5416, 2525, 1598, 994, 2745, 5416, 263, 11277, 4917, 8528, 258, 2843, 498, 31589, 15671, 3522, 9326, 476, 16417, 3522, 20434, 13194, 3522, 30530, 9326, 18194, 3264, 7549, 3378, 13077, 26580, 13077, 1384, 5814, 942, 692, 3698, 30164, 6600, 15635, 2187, 8931, 8931, 825, 1219, 16995, 263, 7407, 2187, 1038, 1376, 815, 942, 17085, 1442, 4590, 1038, 1267, 815, 30775, 263, 7407, 994, 13872, 1038, 1439, 815, 942, 17085, 1442, 4590, 1038, 1820, 3488, 11742, 568, 22207, 1439, 910, 1376, 994, 1038, 2132, 1267, 3097, 8931, 8931, 825, 2132, 16995, 454, 287, 1372, 14585, 622, 454, 3698, 1250, 23919, 263, 7407, 2187, 825, 2132, 1193, 263, 7407, 9239, 258, 3240, 23919, 815, 30164, 30044, 23919, 994, 2745, 30044, 23919, 263, 11277, 4917, 2745 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 616, 4049, 2614, 547, 28148, 1764, 1483, 2804, 2534, 269, 0, 1103, 519, 2475, 267, 5215, 540, 2367, 786, 581, 8995, 609, 6089, 2860, 1142, 1032, 454, 2691, 621, 2501, 547, 6089, 2860, 267, 649, 1590, 7903, 2250, 519, 10206, 602, 519, 2068, 1152, 5540, 2021, 269, 4014, 1447, 982, 476, 272, 260, 540, 6089, 11871, 2049, 538, 2367, 267, 6089, 2860, 538, 2367, 1281, 2049, 543, 621, 666, 1764, 1312, 2168, 543, 2790, 3344, 540, 4948, 2713, 269, 901, 1032, 267, 7194, 585, 5256, 6089, 2860, 538, 519, 2136, 2276, 7866, 602, 936, 476, 273, 267, 4335, 1007, 2665, 540, 12362, 6089, 2860, 786, 581, 8995, 543, 1472, 476, 21878, 2367, 786, 1780, 2476, 689, 6089, 2860, 269, 1488, 2522, 4777, 543, 11709, 612, 320, 779, 29287, 7029, 547, 10825, 519, 2262, 593, 5256, 6089, 2860, 543, 18997, 519, 2489, 1857, 814, 6273, 811, 5256, 6089, 2860, 15000, 547, 2097, 4464, 543, 2671, 741, 2984, 269, 3245, 21904, 543, 7882, 9999, 547, 5574, 543, 3564, 267, 7391, 11341, 547, 6089, 2860, 1590, 581, 4797, 1631, 543, 2141, 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 ]
[ 865, 1577, 781, 4685, 4514, 543, 3136, 12423, 1927, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 347, 18197, 2276, 15114, 543, 11776, 2008, 347, 18197, 2276, 22045, 2008, 18197, 2276, 22874, 1876, 3877, 519, 2175, 538, 799, 513, 1268, 6585, 2136, 2276, 22874, 269, 769, 519, 2136, 2276, 267, 22874, 568, 3335, 5833, 998, 14074, 538, 519, 772, 2529, 269, 9139, 267, 1585, 4031, 267, 543, 3486, 11650, 269, 22893, 1222, 568, 513, 1318, 267, 711, 513, 17979, 269, 2755, 6469, 6054, 1419, 946, 15114, 543, 22874, 30430, 267, 22874, 4016, 547, 519, 3656, 1797, 538, 799, 513, 1268, 3489, 338, 513, 3084, 3961, 543, 6101, 15376, 538, 513, 4182, 543, 15114, 4016, 547, 519, 2078, 4371, 676, 4182, 1023, 945, 616, 849, 4961, 563, 31714, 4535, 538, 1022, 540, 519, 476, 2004, 772, 2529, 269, 2829, 267, 519, 10588, 540, 12052, 610, 3592, 1022, 20948, 8513, 616, 2136, 2276, 4961, 676, 4332, 2431, 269, 634, 6852, 9868, 568, 1977, 6341, 10394, 267, 1141, 2043, 616, 3335, 1875, 2275, 527, 714, 523, 772, 2529, 269, 4182, 1023, 693, 4332, 269, 14579, 4182, 1023, 2713, 538, 1022, 1533, 610, 11727, 8513, 949, 2067, 1125, 1310, 4742, 8628, 4036, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 305, 2074, 543, 21073, 540, 6468, 257, 607, 851, 540, 834, 30311, 1315, 11426, 776, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 4495, 2390, 513, 942, 267, 972, 729, 513, 1762, 8004, 3957, 2558, 2088, 945, 6068, 547, 1224, 543, 2328, 269, 2701, 1185, 2141, 1044, 19832, 676, 519, 1379, 540, 1913, 543, 875, 789, 1223, 581, 1031, 547, 8300, 543, 1198, 1689, 269, 2290, 1554, 267, 1247, 19855, 519, 5399, 21684, 267, 1352, 16686, 2390, 15609, 19664, 537, 781, 17728, 267, 834, 296, 5700, 4208, 519, 595, 3042, 16819, 590, 902, 3010, 23871, 2088, 729, 5612, 6537, 883, 519, 1650, 540, 15609, 781, 2352, 6689, 267, 7680, 10168, 543, 7130, 20250, 267, 1373, 986, 6244, 693, 519, 2085, 540, 5216, 267, 543, 519, 2620, 2631, 540, 21440, 602, 22755, 1200, 547, 3717, 856, 1996, 891, 4636, 4777, 902, 269, 2558, 2088, 5433, 513, 4276, 547, 15609, 781, 9620, 543, 729, 6273, 676, 1200, 6043, 543, 8990, 780, 2026, 1352, 4797, 547, 1224, 267, 2558, 2088, 3357, 2066, 513, 10839, 689, 15609, 602, 6949, 730, 7184, 1369, 1200, 281, 834, 296, 993, 513, 15594, 269, 594, 4312, 1044, 513, 4775, 585, 513, 1279, 942, 1631, 269, 898, 9364, 581, 29749, 711, 547, 581, 593, 1250, 1378, 2427, 3010, 1607, 17275, 1945, 3330, 2558, 2088, 267, 543, 1352, 3459, 547, 8275, 602, 1352, 1932, 729, 13730, 827, 2021, 781, 2924, 543, 7862, 269, 2701, 4956, 547, 1376, 513, 8630, 693, 1153, 5059, 593, 9870, 4656, 827, 4008, 8635, 543, 5009, 2021, 781, 16882, 780, 4263, 519, 1101, 5870, 267, 2558, 2088, 1558, 8861, 267, 513, 8746, 543, 7682, 633, 2875, 945, 3838, 2558, 2088, 781, 6612, 585, 2021, 781, 2924, 269, 8625, 267, 789, 9709, 1585, 2238, 543, 11044, 267, 971, 607, 12180, 678, 718, 625, 267, 2870, 19297, 267, 543, 16475, 16823, 10529, 780, 4913, 267, 711, 3025, 8815, 609, 2558, 2088, 543, 8861, 781, 5692, 269, 25455, 267, 513, 2442, 7911, 538, 1153, 267, 1419, 544, 18088, 873, 543, 25323, 741, 3646, 269, 1261, 1131, 1118, 9011, 1645, 8292, 827, 519, 8630, 543, 922, 2818, 267, 4929, 930, 1053, 547, 3845, 2933, 689, 2558, 2088, 543, 8861, 780, 8601, 713, 1305, 3724, 267, 2558, 2088, 543, 8861, 7283, 8149, 547, 741, 2014, 269, 1358, 6785, 602, 1689, 4769, 1405, 2097, 2653, 543, 602, 789, 2877, 547, 1832, 11319, 4464, 269, 1656, 865, 267, 789, 6896, 513, 28487, 547, 6318, 4656, 827, 5208, 1996, 2021, 780, 4002, 519, 1554, 540, 519, 28487, 267, 1082, 1053, 4951, 909, 547, 1489, 2558, 2088, 543, 8861, 269, 1809, 25455, 543, 1010, 2828, 849, 13984, 267, 703, 2056, 547, 7519, 519, 2680, 269, 1717, 267, 3079, 540, 25380, 1524, 267, 2558, 2088, 3576, 519, 28416, 543, 9619, 519, 15624, 780, 20442, 616, 1934, 2221, 1317, 649, 3494, 602, 1169, 4807, 19262, 547, 2661, 513, 1272, 1863, 689, 4250, 543, 5208, 269, 1284, 1796, 1927, 547, 2161, 1100, 547, 3765, 690, 2106, 344, 267, 22149, 2528, 267, 543, 4008, 8635, 269, 1284, 786, 711, 1577, 4896, 16563, 721, 610, 27298, 938, 9739, 269, 1284, 616, 3532, 267, 12703, 267, 543, 13417, 31463, 762, 15323, 15463, 4633, 6410, 1082, 1053, 267, 1519, 25455, 267, 945, 7691, 519, 2956, 540, 7555, 909, 585, 1018, 568, 1318, 269, 3245, 602, 4090, 593, 267, 646, 2968, 606, 24343, 547, 2558, 2088, 543, 8861, 267, 1210, 1010, 3760, 547, 3895, 2021, 781, 2924, 543, 7862, 780, 7437, 741, 18094, 543, 11428, 267, 2558, 2088, 543, 8861, 7307, 547, 1711, 513, 1713, 1764, 593, 741, 1153, 2146, 269, 1358, 6026, 741, 9905, 3407, 4245, 827, 6568, 267, 7881, 267, 543, 1966, 9010, 267, 11744, 602, 950, 1004, 2097, 1927, 267, 789, 666, 7753, 1022, 21677, 543, 3142, 827, 6209, 1689, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 22081, 1705, 15609, 19664, 537, 781, 1272, 2833, 3310, 1200, 1603, 543, 17933, 585, 3540, 2924, 543, 2021, 781, 2924, 888, 9802, 320, 19664, 537, 781, 1272, 2833, 7494, 6766, 1200, 1603, 543, 17933, 585, 3540, 2924, 543, 2021, 781, 2924, 269, 1306, 513, 1126, 267, 1352, 4810, 10168, 543, 7130, 20250, 267, 543, 729, 1256, 986, 6244, 693, 519, 2085, 540, 5216, 269, 1452, 15779, 2621, 8507, 538, 513, 2620, 2631, 540, 21440, 267, 543, 1352, 729, 9141, 547, 3717, 856, 1996, 10168, 543, 8635, 269, 4173, 1034, 4583, 960, 267, 834, 296, 5700, 4208, 519, 595, 3042, 16819, 590, 902, 2437, 568, 513, 17728, 540, 1200, 6689, 602, 6645, 519, 1650, 540, 3109, 4892, 1282, 519, 13343, 18844, 5736, 543, 9607, 2152, 971, 607, 10168, 267, 3023, 1143, 267, 543, 4638, 6057, 780, 17951, 601, 537, 781, 2123, 2833, 607, 513, 2582, 3993, 267, 15854, 1356, 267, 543, 957, 816, 849, 6766, 1200, 17933, 585, 2021, 781, 2924, 269, 2701, 729, 513, 2178, 12167, 585, 2021, 781, 16882, 543, 5156, 602, 2021, 1058, 723, 519, 1482, 3255, 607, 2367, 538, 2069, 543, 519, 9036, 269, 2701, 28020, 1767, 267, 834, 296, 993, 513, 15594, 269, 594, 4312, 1044, 513, 4775, 585, 513, 561, 10640, 25147, 3197, 609, 3982, 14789, 269, 634, 1650, 1058, 11200, 998, 741, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 267, 10771, 519, 2956, 540, 6568, 267, 7881, 267, 543, 1966, 9010, 563, 763, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 269, 0, 3848, 476, 1015, 281, 25326, 337, 3394, 15299, 1107, 1133, 24286, 519, 31981, 540, 3776, 2637, 525, 543, 5253, 692, 5331, 952, 596, 1223, 1711, 513, 10531, 2732, 1544, 1175, 585, 596, 267, 1759, 593, 707, 2189, 6090, 256, 2334, 781, 1018, 2428, 337, 3394, 15299, 568, 782, 827, 1107, 4974, 875, 938, 6090, 2170, 609, 519, 3536, 649, 3548, 269, 1635, 1565, 827, 2428, 337, 3394, 15299, 267, 596, 786, 3605, 875, 3579, 621, 568, 950, 2029, 10742, 7350, 547, 948, 721, 1174, 6000, 1732, 543, 1118, 8902, 5079, 780, 4089, 476, 272, 281, 1548, 616, 6090, 2496, 7049, 525, 616, 899, 6263, 6044, 8261, 338, 3330, 1142, 1591, 538, 938, 1560, 269, 1358, 2995, 938, 2281, 875, 547, 1332, 267, 1020, 267, 543, 1599, 5265, 269, 3962, 1268, 814, 1472, 476, 736, 267, 1822, 1114, 6090, 267, 799, 789, 27836, 689, 741, 3237, 269, 6884, 267, 1507, 2242, 2049, 538, 891, 6090, 267, 543, 1346, 666, 1860, 875, 938, 4703, 2746, 547, 1978, 1919, 267, 971, 607, 519, 3536, 649, 3548, 780, 7078, 281, 2368, 1004, 723, 513, 5444, 8390, 602, 2306, 873, 811, 6213, 547, 14933, 269, 1452, 2043, 1522, 1745, 3063, 795, 527, 6670, 1310, 6704, 513, 7484, 540, 6995, 3379, 547, 2576, 945, 3085, 1405, 723, 713, 1689, 538, 741, 14933, 5444, 780, 4089, 476, 273, 281, 1215, 1281, 1426, 2097, 883, 1404, 2496, 3086, 267, 1577, 781, 1294, 875, 1426, 13352, 883, 713, 4605, 269, 1879, 649, 8532, 1426, 267, 938, 4703, 2736, 1524, 519, 5567, 630, 2889, 974, 1231, 267, 9600, 267, 11950, 267, 8324, 267, 3092, 4700, 1369, 602, 1426, 269, 13689, 593, 938, 4719, 17539, 267, 930, 540, 891, 5567, 949, 1764, 938, 4703, 8335, 982, 1866, 8339, 24356, 2428, 337, 3394, 15299, 2337, 3744, 1451, 875, 1808, 5567, 3310, 1880, 6090, 267, 3056, 547, 1585, 4093, 899, 4824, 1072, 267, 2068, 1981, 5786, 267, 610, 1256, 16419, 11326, 2439, 12244, 942, 281, 6056, 827, 707, 5172, 4829, 610, 10448, 269, 5994, 952, 3173, 4362, 602, 4189, 713, 1426, 1223, 9797, 1860, 835, 540, 707, 6090, 269, 3503, 513, 2110, 5037, 10503, 875, 596, 1131, 2671, 713, 3377, 609, 1920, 2818, 543, 5000, 873, 547, 2119, 4189, 930, 1932, 2439, 4089, 476, 274, 281, 7464, 3734, 3156, 540, 2428, 337, 3394, 15299, 692, 2026, 1382, 8441, 267, 972, 616, 1082, 2081, 2428, 337, 3394, 15299, 666, 4324, 3025, 269, 2290, 1554, 267, 7189, 1522, 946, 5444, 4152, 547, 1683, 25191, 7594, 4566, 2966, 4481, 585, 2550, 262, 2115, 269, 2107, 6148, 3549, 786, 1020, 1007, 6198, 3536, 602, 3077, 1808, 6090, 547, 3986, 18942, 2773, 610, 2949, 9716, 269, 1703, 781, 1869, 1454, 960, 547, 798, 1354, 8757, 891, 3853, 267, 855, 3744, 5001, 616, 9599, 827, 30196, 519, 1761, 2640, 540, 2428, 337, 3394, 15299, 780, 23087, 281, 25326, 337, 3394, 15299, 10905, 5969, 12967, 2029, 543, 7350, 547, 1353, 875, 938, 6090, 4431, 547, 519, 3536, 649, 3548, 269, 4197, 713, 4276, 2636, 3173, 547, 2263, 5499, 4485, 547, 5355, 1480, 1072, 998, 10531, 6484, 2994, 269, 5808, 6487, 1765, 16673, 2041, 14693, 4166, 267, 596, 3513, 1205, 707, 1360, 1378, 15988, 797, 1592, 1759, 593, 707, 2189, 5027, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 15933, 2257, 568, 513, 9159, 2361, 602, 12538, 883, 519, 6946, 1158, 540, 1426, 2504, 267, 11091, 267, 543, 2298, 19349, 269, 1280, 1053, 13197, 713, 9015, 538, 519, 5177, 267, 4081, 10467, 1404, 513, 2629, 1909, 538, 26762, 519, 16082, 540, 1426, 2257, 269, 634, 3460, 547, 4742, 513, 21295, 1426, 10196, 6238, 609, 4396, 4081, 13210, 267, 543, 602, 779, 1141, 519, 1655, 1426, 2257, 7084, 948, 538, 519, 5177, 2501, 883, 1404, 269, 901, 2376, 2488, 3102, 4030, 267, 4274, 5583, 267, 543, 1898, 2200, 547, 14133, 538, 707, 1426, 2257, 10467, 563, 7072, 547, 5253, 3163, 25849, 906, 454, 1103, 519, 7706, 540, 1426, 2257, 267, 10467, 4196, 607, 513, 8115, 1063, 7811, 1702, 543, 4052, 3498, 269, 14958, 532, 10467, 711, 1152, 3340, 513, 2620, 1620, 540, 519, 1641, 2339, 855, 849, 519, 2702, 547, 24808, 2093, 17396, 569, 269, 3245, 3695, 1426, 7998, 547, 7421, 9422, 3334, 267, 10467, 3382, 513, 2647, 5044, 540, 3584, 269, 3371, 267, 649, 1459, 513, 1033, 320, 850, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 301, 583, 337, 3394, 15299, 257, 607, 851, 540, 834, 31900, 1299, 22957, 1315, 5253, 3163, 1315, 11061, 1299, 30911, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 2052, 25586, 781, 3961, 581, 6905, 547, 844, 15715, 687, 2496, 292, 17526, 781, 3961, 568, 1269, 324, 3867, 328, 1422, 7032, 348, 1341, 476, 272, 815, 476, 271, 8961, 513, 2027, 2013, 540, 519, 25586, 781, 4542, 1269, 324, 3867, 328, 24592, 348, 815, 1422, 6523, 24592, 1341, 1775, 315, 7562, 24592, 8961, 1141, 4399, 9064, 815, 1422, 7032, 259, 630, 327, 2788, 2389, 1248, 540, 519, 1770, 5858, 6393, 2005, 568, 4122, 4330, 607, 834, 2041, 2246, 3814, 257, 1317, 621, 568, 2241, 543, 2882, 513, 19619, 540, 4909, 6310, 21635, 543, 12427, 267, 1519, 519, 1950, 2338, 780, 3674, 972, 513, 7222, 25586, 781, 3961, 585, 844, 15715, 687, 2496, 11854, 27218, 281, 634, 570, 879, 2494, 28685, 334, 23083, 513, 1114, 4909, 5858, 3586, 267, 4399, 339, 879, 815, 476, 273, 1422, 7032, 8961, 543, 513, 7222, 14595, 25586, 3961, 267, 1759, 593, 513, 2347, 2490, 267, 519, 2027, 2013, 540, 4399, 9064, 815, 1422, 339, 879, 259, 1384, 259, 324, 3867, 328, 29146, 879, 348, 815, 476, 272, 6911, 2252, 713, 568, 6905, 547, 844, 15715, 687, 267, 568, 621, 1022, 12863, 610, 811, 834, 2041, 2246, 3814, 257, 2496, 8894, 296, 19804, 1862, 18923, 1174, 1022, 540, 891, 4267, 269, 594, 6415, 1175, 2469, 547, 3442, 519, 5207, 8686, 6838, 543, 1793, 1074, 2476, 269, 1107, 1109, 754, 14663, 2904, 476, 2764, 1412, 1556, 693, 476, 275, 281, 2641, 692, 3080, 666, 5581, 1269, 324, 28682, 8961, 4399, 7562, 1535, 259, 543, 4399, 6523, 1535, 259, 538, 1022, 14465, 778, 7223, 676, 1797, 540, 1379, 3126, 267, 552, 3052, 269, 1269, 324, 28682, 815, 1422, 8999, 1535, 18898, 14672, 256, 10608, 3973, 267, 585, 1022, 4009, 3597, 540, 1269, 268, 272, 259, 538, 519, 7223, 630, 6518, 649, 786, 20301, 676, 1269, 328, 8961, 4352, 972, 1223, 581, 1082, 267, 607, 972, 616, 538, 519, 844, 15715, 687, 1070, 621, 568, 513, 6101, 12343, 540, 519, 1379, 3126, 602, 1269, 324, 3867, 1460, 18098, 6523, 1535, 1341, 1775, 1422, 7562, 1535, 10608, 5221, 891, 3252, 616, 3989, 3842, 1379, 3126, 267, 713, 568, 782, 512, 2246, 1670, 267, 543, 972, 3884, 1405, 2731, 1022, 2620, 4644, 780, 2467, 616, 1919, 1079, 602, 1118, 25586, 781, 4542, 4277, 936, 519, 556, 1023, 269, 3689, 267, 1269, 324, 28682, 8961, 4399, 6523, 1535, 259, 543, 4399, 7562, 1535, 259, 616, 2356, 3989, 676, 1875, 27703, 3126, 2409, 267, 543, 865, 25586, 781, 4542, 20475, 930, 4990, 540, 1875, 268, 984, 2365, 6935, 269, 5822, 267, 891, 3252, 14183, 782, 12204, 540, 9163, 799, 666, 581, 1732, 6956, 538, 2474, 540, 519, 3961, 269, 1717, 267, 950, 649, 616, 2324, 936, 513, 1875, 5570, 32477, 14465, 778, 7223, 630, 3697, 519, 844, 15715, 687, 610, 1269, 333, 1422, 9392, 562, 259, 14290, 1070, 649, 3622, 723, 602, 1269, 324, 3867, 320, 17070, 13157, 324, 317, 320, 552, 317, 321, 259, 1152, 950, 1269, 629, 284, 9346, 8961, 543, 865, 519, 1034, 3730, 15821, 3959, 540, 1269, 324, 28682, 259, 568, 8854, 267, 799, 1797, 602, 865, 616, 519, 4277, 1894, 596, 1522, 1616, 780, 31171, 281, 594, 1131, 899, 547, 2491, 519, 9819, 2944, 538, 7917, 781, 2626, 538, 2474, 540, 1018, 594, 723, 2854, 1657, 780, 4131, 1269, 336, 30381, 266, 6798, 25239, 329, 266, 323, 330, 30381, 266, 337, 21702, 346, 6798, 25239, 329, 266, 323, 330, 2410, 337, 4151, 1141, 1269, 337, 317, 273, 284, 321, 317, 273, 25239, 317, 273, 266, 323, 317, 273, 8961, 543, 649, 723, 10924, 1269, 337, 285, 271, 10608, 8074, 602, 4399, 2765, 346, 6798, 25239, 329, 266, 323, 330, 2410, 337, 4151, 568, 513, 4009, 3597, 540, 1269, 268, 272, 8961, 799, 649, 786, 17303, 2328, 607, 4399, 6912, 24877, 272, 23201, 4595, 1269, 320, 259, 862, 2373, 609, 3388, 267, 649, 723, 692, 2330, 324, 317, 336, 284, 324, 3867, 320, 266, 337, 25490, 24877, 272, 3686, 284, 324, 317, 320, 552, 3867, 337, 25490, 24877, 272, 3686, 815, 552, 317, 320, 263, 1422, 6523, 16868, 264, 1341, 1422, 6912, 24877, 272, 348, 1422, 7562, 16868, 4297, 284, 552, 317, 320, 7268, 6523, 16868, 264, 1341, 1422, 2765, 3189, 7562, 16868, 20972, 337, 12917, 6798, 25239, 329, 266, 323, 330, 26895, 9681, 3383, 649, 1294, 602, 3388, 5205, 689, 519, 3044, 4542, 1269, 324, 3867, 1460, 18098, 6523, 1535, 1341, 1775, 1422, 7562, 1535, 269, 6911, 8894, 1432, 1131, 581, 930, 6405, 1806, 540, 14465, 778, 10789, 602, 596, 3717, 540, 286, 1107, 1109, 21574, 871, 1133, 577, 7134, 4119, 476, 280, 1412, 1428, 693, 476, 279, 281, 6246, 454, 1700, 1109, 288, 16336, 4119, 476, 280, 1412, 1428, 693, 476, 1240, 281, 2641, 692, 2690, 513, 844, 15715, 542, 1269, 336, 815, 513, 1341, 536, 1775, 1341, 524, 795, 1341, 546, 737, 259, 609, 1269, 320, 14720, 22698, 28504, 259, 1483, 543, 4399, 6912, 15830, 317, 273, 1341, 524, 317, 273, 1341, 546, 317, 273, 348, 815, 678, 3436, 476, 271, 8961, 649, 723, 1269, 324, 317, 336, 815, 552, 317, 320, 22570, 6523, 16868, 264, 1341, 1422, 2765, 3189, 7562, 16868, 20972, 337, 348, 630, 321, 1775, 1341, 524, 795, 1341, 546, 737, 4297, 16859, 7042, 2690, 1022, 1875, 3146, 531, 3693, 4399, 9064, 22174, 315, 13992, 670, 259, 519, 1016, 531, 5040, 6383, 676, 1269, 272, 259, 543, 4399, 9064, 259, 568, 568, 25806, 547, 1950, 2338, 269, 1924, 267, 9811, 267, 25586, 781, 4542, 6585, 630, 527, 781, 25250, 856, 538, 7917, 5840, 781, 2626, 264, 855, 621, 3947, 4986, 1007, 267, 9247, 780, 7042, 8802, 8973, 519, 2034, 2243, 267, 519, 15428, 1106, 540, 25586, 781, 3961, 1210, 4399, 339, 879, 259, 27711, 14553, 1447, 1344, 982, 519, 3312, 3961, 267, 543, 1869, 23119, 689, 606, 796, 11499, 3903, 540, 4009, 3597, 540, 1269, 268, 272, 259, 630, 2254, 513, 2462, 4308, 267, 4849, 950, 1004, 1118, 6811, 540, 5898, 610, 16134, 1040, 769, 519, 1950, 1158, 267, 621, 781, 811, 2067, 630, 1729, 803, 264, 547, 5581, 4399, 13992, 346, 313, 12917, 272, 7751, 607, 519, 17830, 540, 20800, 2747, 267, 543, 8360, 25586, 781, 3961, 607, 519, 3948, 602, 4399, 13992, 346, 313, 12917, 272, 7751, 568, 6383, 676, 1269, 273, 19570, 259, 630, 528, 4399, 339, 879, 259, 264, 2053, 513, 4009, 3597, 540, 14263, 835, 780, 263, 3080, 1966, 609, 519, 2489, 946, 540, 713, 4399, 339, 879, 259, 568, 602, 621, 568, 1360, 524, 13246, 727, 538, 519, 3069, 540, 22606, 3029, 267, 1141, 4399, 339, 879, 259, 568, 2907, 11603, 607, 519, 11282, 593, 519, 1950, 5580, 3368, 13807, 2033, 269, 2290, 1419, 5036, 1269, 336, 815, 552, 3867, 273, 1422, 7032, 1775, 1422, 339, 879, 4151, 607, 513, 22263, 3126, 4756, 267, 543, 713, 5654, 1360, 3983, 950, 596, 5372, 1269, 273, 19570, 259, 609, 4399, 339, 879, 10608, 2020, 8802, 8973, 707, 1101, 2243, 267, 538, 513, 1875, 5570, 32477, 30490, 8258, 899, 519, 844, 15715, 687, 267, 20800, 2747, 568, 711, 513, 4630, 31532, 630, 663, 519, 17830, 568, 711, 513, 1895, 1040, 1717, 267, 519, 1483, 12732, 540, 1269, 272, 259, 543, 1269, 328, 259, 630, 528, 1022, 824, 3903, 540, 4009, 3597, 540, 1269, 268, 272, 259, 264, 568, 568, 25806, 547, 519, 1950, 2338, 267, 543, 519, 19231, 540, 20800, 2747, 547, 713, 1016, 2590, 568, 513, 4630, 31532, 689, 519, 19605, 1895, 547, 519, 3818, 2364, 894, 1895, 269, 25586, 781, 3961, 4061, 6585, 267, 855, 585, 7654, 25064, 4128, 780, 7042, 263, 2005, 568, 2864, 513, 6085, 543, 2047, 5205, 689, 3105, 4267, 2020, 2171, 1223, 2161, 13713, 1210, 16803, 16166, 1384, 2690, 1022, 968, 22780, 1318, 844, 15715, 542, 892, 1269, 337, 259, 630, 328, 4318, 1421, 1269, 337, 284, 3495, 1341, 344, 329, 266, 345, 330, 8961, 1269, 343, 317, 273, 20742, 317, 273, 266, 345, 317, 273, 284, 272, 259, 264, 621, 568, 3020, 606, 1387, 4084, 540, 519, 25586, 781, 3961, 1269, 324, 3867, 337, 19570, 15396, 272, 815, 476, 271, 16859, 14738, 844, 15715, 687, 1631, 849, 1572, 968, 335, 675, 16494, 892, 780, 268, 0, 1012, 476, 279, 628, 6103, 10632, 910, 13760, 17602, 775, 543, 16726, 1210, 2168, 3631, 267, 1098, 10012, 2886, 267, 610, 9511, 3301, 780, 19723, 1518, 4603, 958, 519, 3601, 540, 32186, 267, 18759, 267, 543, 16627, 1384, 272, 269, 20514, 616, 3144, 547, 3515, 267, 543, 1899, 12415, 547, 1899, 12415, 540, 519, 1482, 3259, 563, 273, 269, 27449, 616, 3144, 547, 7285, 540, 519, 1482, 2268, 563, 274, 269, 23155, 3515, 616, 3144, 547, 6252, 3515, 780, 308, 2955, 602, 513, 1079, 8820, 4137, 568, 21412, 547, 1776, 952, 519, 2034, 666, 581, 5833, 689, 519, 1101, 676, 513, 5311, 540, 32186, 267, 18759, 267, 543, 16627, 282, 2016, 1079, 21412, 5515, 267, 4766, 513, 5311, 602, 15225, 519, 17602, 775, 1063, 873, 780, 27855, 519, 1198, 540, 8920, 725, 267, 16627, 267, 32186, 267, 543, 18759, 593, 1079, 8820, 5515, 1210, 10974, 780, 308, 2955, 602, 513, 1079, 8820, 4137, 568, 2147, 547, 1776, 952, 519, 2034, 666, 581, 5833, 689, 519, 1101, 676, 513, 5311, 540, 32186, 267, 18759, 267, 16627, 267, 543, 8920, 725, 282, 2016, 1079, 2147, 1000, 617, 7645, 5515, 267, 4766, 513, 5311, 602, 15225, 519, 16726, 1063, 873, 780, 8196, 13016, 7440, 547, 3715, 5013, 827, 519, 5086, 2040, 543, 16538, 5086, 540, 12730, 267, 827, 519, 7285, 2813, 950, 6252, 3515, 616, 2759, 676, 513, 1098, 951, 531, 267, 543, 519, 5086, 268, 4120, 21205, 585, 16726, 540, 12730, 269, 1280, 1383, 267, 6582, 1614, 12215, 540, 519, 1482, 6906, 865, 602, 519, 2040, 540, 519, 1614, 7285, 5526, 547, 1106, 513, 1899, 267, 543, 2285, 606, 4661, 538, 2474, 540, 1098, 951, 1023, 1946, 713, 568, 865, 780, 306, 920, 839, 14653, 8745, 1315, 13517, 25035, 286, 28951, 454, 9558, 845, 725, 22544, 454, 16987, 2939, 609, 12166, 14759, 609, 713, 1187, 7317, 1907, 269, 0, 258, 3525, 15252, 540, 15519, 7190, 14330, 304, 1107, 23848, 540, 10049, 692, 272, 269, 3525, 15252, 540, 15519, 7190, 568, 692, 272, 269, 30212, 2566, 5258, 676, 30212, 8833, 454, 273, 269, 19852, 2566, 5258, 676, 19852, 8833, 454, 274, 269, 2333, 610, 6175, 538, 4320, 5258, 676, 3312, 4320, 454, 275, 269, 1463, 2566, 5258, 676, 2019, 636, 13011, 8833, 692, 273, 269, 8479, 779, 29870, 540, 22786, 543, 7313, 24480, 779, 5223, 540, 513, 1570, 616, 476, 272, 269, 1839, 6398, 476, 10755, 12463, 320, 543, 476, 271, 269, 4097, 6606, 269, 634, 29870, 540, 6551, 7190, 540, 519, 1570, 568, 692, 272, 269, 476, 271, 269, 29710, 276, 6398, 476, 10755, 12463, 320, 454, 273, 269, 476, 271, 269, 5379, 277, 275, 6398, 476, 10755, 12463, 320, 454, 274, 269, 476, 271, 269, 279, 4391, 276, 6398, 476, 10755, 12463, 320, 454, 275, 269, 476, 271, 269, 280, 5379, 280, 6398, 476, 10755, 12463, 320, 692, 274, 269, 634, 5223, 540, 8479, 779, 29870, 547, 29870, 540, 6551, 7190, 585, 513, 1570, 2348, 7313, 24480, 779, 5223, 476, 271, 269, 273, 568, 692, 272, 269, 476, 1321, 270, 276, 454, 273, 269, 476, 276, 270, 1321, 454, 274, 269, 476, 276, 270, 1691, 454, 275, 269, 476, 1691, 270, 276, 692, 275, 269, 6904, 540, 519, 1739, 568, 519, 2953, 6935, 1063, 519, 29870, 540, 6551, 7190, 630, 290, 1070, 8479, 779, 29870, 540, 22786, 630, 292, 264, 543, 13557, 29870, 630, 298, 264, 2496, 272, 269, 661, 815, 630, 274, 290, 298, 19422, 280, 298, 266, 290, 994, 273, 269, 595, 815, 630, 280, 292, 298, 19422, 274, 298, 266, 292, 994, 274, 269, 918, 815, 630, 280, 4488, 19422, 280, 290, 266, 292, 994, 275, 269, 661, 815, 630, 280, 290, 298, 19422, 274, 298, 266, 290, 2020, 276, 269, 589, 1570, 814, 513, 8479, 779, 3525, 15252, 540, 476, 272, 269, 1839, 6398, 476, 10755, 715, 270, 7825, 273, 543, 513, 7313, 24480, 779, 5223, 540, 476, 271, 269, 1839, 269, 634, 3525, 15252, 540, 15519, 7190, 568, 692, 272, 269, 476, 271, 269, 4792, 6398, 476, 10755, 715, 270, 7825, 273, 454, 273, 269, 476, 271, 269, 2568, 6398, 476, 10755, 715, 270, 7825, 273, 454, 274, 269, 476, 271, 269, 3393, 6398, 476, 10755, 715, 270, 7825, 273, 454, 275, 269, 476, 271, 269, 2004, 6398 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 634, 23663, 517, 1849, 534, 729, 15151, 1634, 585, 741, 7542, 665, 1190, 1145, 543, 4222, 267, 7907, 2877, 547, 7639, 519, 8473, 2127, 540, 4789, 538, 10120, 2053, 547, 581, 2386, 269, 634, 28334, 2138, 1729, 568, 968, 10468, 544, 262, 537, 4565, 773, 345, 892, 630, 10673, 1406, 7340, 803, 1040, 2755, 649, 2461, 593, 519, 13677, 1888, 267, 596, 1522, 849, 581, 5461, 547, 917, 602, 968, 322, 1513, 517, 892, 568, 519, 13677, 8566, 6130, 545, 2262, 585, 968, 3963, 9495, 630, 553, 538, 968, 3602, 1150, 267, 585, 1018, 2601, 9495, 1070, 585, 1383, 267, 519, 13677, 8566, 6130, 545, 2165, 968, 322, 1513, 517, 694, 334, 892, 18922, 547, 968, 1432, 779, 519, 2462, 2856, 9495, 1924, 693, 2547, 649, 666, 2285, 596, 835, 6405, 2495, 3297, 519, 2262, 968, 322, 1513, 517, 6100, 26402, 540, 519, 2012, 23663, 517, 607, 513, 2016, 2012, 267, 2705, 267, 729, 6273, 676, 1977, 4395, 4536, 2006, 14173, 23663, 517, 630, 5197, 280, 268, 5908, 279, 264, 945, 1500, 1271, 7418, 547, 519, 31023, 7269, 540, 519, 2136, 2276, 1282, 519, 2395, 540, 519, 8187, 8187, 4639, 269, 4495, 23663, 517, 2968, 513, 5440, 476, 1911, 5172, 4816, 7911, 779, 538, 519, 2136, 2276, 267, 1977, 3237, 11827, 513, 1007, 4528, 585, 741, 4816, 6690, 538, 519, 1106, 540, 918, 1513, 2106, 563, 28082, 640, 540, 519, 8745, 918, 1513, 2106, 454, 298, 1513, 2106, 568, 513, 7168, 1007, 11777, 720, 538, 519, 2136, 2276, 282, 519, 2012, 1152, 1101, 7902, 593, 519, 4775, 5440, 476, 1911, 271, 1592, 538, 476, 1220, 279, 269, 898, 779, 11347, 540, 835, 540, 1346, 968, 330, 2373, 344, 892, 1365, 32478, 1977, 3237, 616, 865, 23816, 540, 269, 1656, 918, 1513, 2106, 5713, 519, 5595, 3483, 540, 10018, 532, 621, 585, 519, 2370, 6690, 269, 23663, 517, 568, 513, 2864, 24940, 3280, 532, 2012, 609, 519, 2178, 968, 298, 541, 892, 1101, 27612, 609, 519, 968, 5459, 892, 18772, 269, 1809, 950, 596, 1294, 621, 593, 1957, 607, 918, 1513, 2106, 621, 1175, 5654, 782, 4556, 569, 3766, 20071, 269, 634, 20451, 568, 267, 540, 1576, 267, 602, 519, 1079, 4408, 616, 14733, 4010, 519, 1482, 1259, 269, 23663, 517, 568, 28330, 547, 824, 968, 290, 892, 1147, 12849, 2531, 3215, 519, 1977, 7911, 779, 20803, 12125, 2221, 281, 1230, 24335, 267, 2051, 2023, 267, 23101, 267, 25020, 269, 1284, 723, 547, 3858, 602, 23663, 517, 4992, 519, 1034, 4008, 16250, 23018, 856, 540, 519, 19619, 543, 519, 10259, 540, 918, 1513, 2106, 568, 1175, 19315, 267, 865, 267, 1932, 10475, 269, 2991, 782, 267, 607, 789, 1131, 2161, 538, 10430, 267, 834, 290, 1513, 517, 694, 334, 24350, 28082, 640, 540, 519, 21756, 8745, 918, 1513, 2106, 454, 2791, 991, 23489, 18044, 26761, 476, 277, 630, 528, 1657, 264, 547, 2070, 519, 12125, 269, 898, 568, 513, 1863, 543, 17426, 10380, 689, 23489, 2593, 269, 7490, 4945, 1934, 454, 1729, 3888, 519, 1482, 563, 24292, 22108, 547, 519, 17926, 8745, 910, 918, 1513, 2106, 454, 24145, 776, 16992, 540, 519, 17926, 8745, 918, 1513, 2106, 454, 298, 1513, 2106, 1284, 3112, 1265, 1022, 1713, 5339, 3197, 609, 519, 1101, 2012, 918, 1513, 2106, 563, 28082, 14576, 338, 593, 918, 1513, 2106, 454, 298, 1513, 2106, 910, 1284, 3112, 1265, 1022, 2442, 610, 1134, 8153, 8964, 10023, 519, 2012, 918, 1513, 2106, 563, 14399, 781, 7734, 593, 519, 17926, 8745, 918, 1513, 2106, 454, 298, 1513, 2106, 910, 1284, 3112, 1265, 1022, 1453, 779, 2835, 10023, 513, 1915, 3957, 918, 1513, 2106, 563, 293, 13904, 4658, 715, 3139, 918, 1513, 2106, 454, 293, 13904, 4658, 715, 3139, 918, 1513, 2106, 910, 1284, 3112, 1265, 1022, 28245, 610, 3648, 4583, 1004, 609, 519, 1101, 2012, 918, 1513, 2106, 563, 14399, 540, 25587, 4658, 715, 3139, 918, 1513, 2106, 454, 293, 13904, 4658, 5808, 715, 3139, 4256, 667, 5922, 918, 1513, 2106, 910, 1284, 3112, 1265, 1022, 28245, 610, 4583, 1004, 945, 723, 3957, 741, 1126, 918, 1513, 2106, 563, 298, 1513, 2106, 910, 21756, 17926, 8745, 910, 19866, 22955, 454, 298, 1513, 2106, 910, 1284, 3112, 1265, 1022, 13840, 1713, 1004, 609, 519, 1101, 2012, 918, 1513, 2106, 563, 31094, 1275, 540, 519, 21756, 8745, 918, 1513, 2106, 454, 763, 1297, 18599, 7209, 568, 7184, 25386, 543, 3810, 538, 19820, 609, 741, 17035, 269, 1358, 7500, 593, 513, 1114, 15423, 982, 519, 3328, 3675, 324, 269, 1975, 2056, 942, 4805, 2501, 3362, 547, 1530, 26223, 267, 607, 621, 3947, 873, 942, 547, 14719, 622, 10952, 267, 3909, 543, 5289, 2093, 538, 606, 4674, 547, 1265, 834, 9418, 5168, 2668, 1530, 26223, 616, 8797, 267, 855, 1419, 608, 8775, 9814, 607, 952, 789, 616, 512, 11474, 883, 1945, 519, 1964, 540, 721, 1810, 1405, 1174, 269, 1358, 2648, 519, 13964, 543, 616, 10480, 676, 2470, 269, 1530, 26223, 616, 7683, 5275, 547, 1174, 1480, 2470, 267, 938, 1747, 538, 519, 7122, 267, 543, 519, 9814, 540, 1272, 538, 2489, 269, 901, 2306, 873, 3833, 7499, 543, 19621, 267, 855, 789, 616, 849, 16994, 24319, 609, 1164, 6457, 910, 865, 789, 616, 8449, 3621, 16490, 269, 1530, 26223, 616, 26988, 543, 1416, 7184, 827, 519, 1480, 2783, 563, 24868, 725, 540, 519, 17926, 8745, 910, 918, 1513, 2106 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 763, 1106, 540, 6519, 595, 8735, 918, 2426, 8034, 729, 12090, 676, 17230, 753, 269, 634, 1686, 540, 519, 1148, 7389, 1394, 547, 606, 11361, 812, 945, 729, 7683, 538, 2620, 2219, 1472, 513, 11432, 269, 1306, 646, 729, 538, 1010, 8912, 5721, 540, 2219, 267, 646, 4767, 606, 3063, 341, 698, 656, 6519, 595, 8735, 2282, 1010, 1858, 269, 17023, 569, 267, 513, 27580, 8759, 7153, 689, 519, 4104, 543, 519, 812, 21787, 585, 519, 6177, 267, 5103, 519, 2168, 3604, 267, 855, 547, 1010, 993, 10270, 618, 519, 6177, 729, 5827, 540, 535, 2056, 585, 3294, 269, 898, 17204, 519, 27580, 8759, 998, 859, 5297, 267, 11495, 5322, 267, 1818, 3346, 609, 519, 2604, 2798, 609, 922, 581, 752, 269, 13536, 593, 538, 1010, 1272, 267, 1079, 555, 13903, 13986, 547, 3775, 1864, 267, 855, 646, 1185, 609, 519, 20932, 540, 519, 595, 8735, 543, 771, 6312, 3481, 540, 873, 269, 30850, 267, 646, 1199, 18469, 2390, 1018, 646, 9364, 2944, 543, 3357, 547, 519, 20185, 602, 646, 1185, 10692, 607, 519, 595, 8735, 267, 543, 4797, 547, 4434, 713, 4480, 563, 763, 6519, 595, 8735, 918, 2426, 8034, 2511, 5161, 540, 1279, 24132, 16716, 267, 799, 616, 922, 1034, 16941, 2390, 8984, 269, 634, 595, 8735, 781, 581, 752, 568, 513, 11495, 7271, 2813, 676, 519, 1688, 602, 4025, 519, 9133, 540, 1142, 9416, 543, 519, 14853, 883, 3346, 609, 835, 1776, 585, 5730, 9514, 338, 269, 634, 31219, 781, 12209, 616, 6010, 2989, 547, 533, 1551, 625, 8246, 547, 1491, 5413, 540, 519, 18545, 781, 11610, 543, 19184, 873, 1055, 3666, 269, 4495, 1055, 3666, 267, 519, 1448, 568, 547, 1491, 5413, 543, 10880, 873, 607, 789, 3801, 547, 9156, 269, 834, 2419, 262, 514, 10878, 257, 568, 1031, 547, 3714, 577, 543, 12235, 17837, 547, 1711, 2230, 610, 3196, 873, 18807, 269, 634, 23603, 1464, 540, 519, 31219, 568, 2565, 1932, 607, 519, 1106, 568, 2966, 547, 711, 1491, 513, 1869, 18879, 267, 519, 8396, 656, 7683, 7575, 543, 13922, 547, 2611, 3001, 543, 21245, 269, 634, 3723, 1740, 540, 519, 595, 8735, 2306, 946, 540, 519, 5377, 540, 519, 3723, 547, 1685, 2178, 737, 6506, 547, 10880, 9170, 593, 519, 18545, 543, 588, 558, 1186, 547, 3441, 16135, 17837, 267, 2356, 3812, 693, 2673, 2039, 609, 1390, 3196, 269, 634, 5301, 540, 519, 824, 737, 6506, 616, 547, 796, 25270, 519, 18545, 543, 6521, 741, 11610, 1996, 873, 269, 634, 1292, 6138, 540, 519, 1148, 568, 8878, 269, 634, 25142, 568, 547, 946, 519, 31219, 781, 859, 5297, 18902, 951, 17872, 7207, 547, 4434, 2390, 20924, 540, 519, 18545, 543, 12483, 873, 563, 257, 19669, 595, 8735, 737, 2426, 8034, 1701, 6519, 595, 8735, 737, 2426, 8034, 269, 32599, 22223, 717, 2426, 17540, 4659, 269, 476, 2537, 7325, 476, 1220, 278, 2999, 10674, 2517, 3333, 320, 22223, 2593, 270, 3369, 6831, 8735, 8548, 691, 658, 11301, 269, 5684, 343, 20101, 0, 17637, 518, 23467, 1280, 645, 1846, 454, 27269, 519, 11407, 540, 3246, 4264, 4683, 7835, 568, 9003, 593, 4227, 2910, 273, 5434, 609, 519, 1445, 540, 513, 6521, 2509, 7791, 1648, 7727, 269, 901, 568, 1271, 2614, 267, 855, 19890, 267, 519, 4049, 1764, 540, 3710, 1604, 593, 519, 1158, 779, 1979, 14459, 543, 10357, 1949, 568, 1419, 12790, 269, 1717, 267, 621, 4667, 899, 519, 1888, 568, 11543, 930, 6284, 543, 4742, 811, 1459, 1369, 519, 11265, 7521, 563, 2171, 723, 5892, 5816, 3022, 827, 4683, 581, 12317, 1161, 1373, 8704, 538, 1931, 547, 2087, 519, 30398, 540, 812, 543, 13520, 269, 4653, 1250, 3007, 8593, 593, 4056, 2966, 10627, 5321, 607, 594, 729, 2542, 998, 5484, 8805, 7219, 779, 2376, 2048, 289, 13903, 267, 645, 1846, 543, 10960, 6480, 919, 685, 538, 11629, 1116, 5071, 476, 6734, 281, 1001, 271, 1141, 646, 19528, 519, 15506, 5600, 5741, 563, 763, 10888, 1374, 676, 21191, 1053, 808, 528, 2102, 570, 663, 6199, 543, 962, 334, 12653, 1092, 585, 519, 15506, 5600, 5741, 454, 763, 15506, 5600, 5741, 568, 606, 3801, 547, 6318, 4656, 593, 9265, 538, 5507, 998, 8716, 1857, 6278, 538, 14498, 2152, 543, 547, 2087, 519, 2713, 2783, 540, 5507, 779, 476, 1015, 10627, 2249, 269, 589, 6735, 729, 9250, 547, 1374, 513, 1753, 585, 16835, 538, 13431, 307, 5507, 22911, 4133, 10418, 538, 4446, 5886, 563, 5194, 2487, 10627, 2777, 602, 2501, 547, 2247, 568, 519, 533, 16072, 3710, 15506, 18975, 538, 26186, 529, 31493, 20567, 5244, 5045, 540, 30159, 267, 12924, 269, 634, 15506, 18975, 568, 513, 1788, 676, 20717, 576, 670, 342, 836, 267, 609, 519, 948, 540, 1200, 6189, 1053, 693, 519, 2160, 693, 30159, 269, 634, 4070, 5161, 540, 2185, 4627, 4773, 540, 533, 16072, 2870, 7522, 5624, 267, 799, 15151, 616, 4998, 607, 5127, 7741, 585, 16835, 563, 289, 520, 18975, 538, 26186, 529, 31493, 20567, 5244, 454, 7093, 16227, 594, 723, 1044, 7722, 538, 519, 4901, 593, 519, 1909, 543, 4539, 540, 6189, 779, 1764, 593, 14498, 543, 519, 30398, 540, 18495, 267, 18508, 543, 21426, 998, 513, 1788, 609, 3143, 32743, 22129, 24248, 593, 519, 5137, 540, 513, 14271, 1458, 24035, 538, 1931, 547, 2149, 519, 17866, 10357, 1062, 540, 14147, 18625, 543, 9381, 22600, 549, 1407, 563, 5353, 629, 539, 2070, 540, 14271, 1458, 24035, 676, 3143, 32743, 22129, 24248, 454, 296, 1265, 621, 4277, 952, 14704, 8027, 585, 938, 2484, 856, 14077, 568, 16116, 909, 543, 519, 7399, 621, 12958, 585, 3860, 3435, 269, 1306, 5484, 8805, 7219, 2829, 912, 2108, 4263, 519, 1459, 4090, 1107, 538, 799, 9097, 11028, 8526, 540, 3347, 1063, 6189, 543, 2470, 616, 1572, 585, 1107, 3007, 547, 2831, 267, 741, 9249, 543, 741, 13567, 540, 812, 13402, 5054, 267, 814, 519, 1379, 547, 7866, 6189, 779, 1747, 1369, 9962, 1514, 543, 10923, 3157, 2507, 19047, 540, 519, 5385, 1063, 2831, 543, 6189, 1491, 721, 3564, 519, 9678, 11265, 1843, 267, 543, 540, 2796, 607, 3135, 267, 4543, 721, 547, 1174, 519, 11265, 2504, 540, 2470, 543, 547, 556, 20459, 6189, 779, 543, 16413, 685, 10851, 540, 3310, 267, 8220, 5656, 547, 741, 26195, 597, 976, 538, 6422, 2081, 1848, 0, 293, 15375, 5990, 20591, 4596, 23615, 312, 9215, 5990, 11555, 309, 5357, 28513, 454, 763, 23548, 25751, 267, 476, 1911, 271, 268, 10204, 271, 454, 763, 1686, 540, 519, 11903, 538, 3013, 5956, 267, 3090, 1227, 693, 2547, 267, 538, 519, 535, 9233, 602, 695, 9613, 519, 10120, 25245, 5443, 781, 29293, 269, 5272, 1977, 6487, 519, 1650, 540, 2274, 604, 18238, 26856, 267, 543, 875, 267, 538, 589, 6185, 269, 476, 1911, 272, 267, 646, 30774, 689, 23529, 547, 519, 7164, 2197, 547, 519, 7178, 269, 634, 1650, 267, 2705, 267, 568, 711, 693, 782, 2312, 269, 16024, 2103, 10990, 607, 547, 1018, 519, 5638, 540, 713, 22116, 2965, 2995, 721, 267, 2094, 789, 616, 521, 15676, 6386, 282, 789, 2097, 689, 513, 6552, 5736, 267, 689, 513, 9490, 1893, 267, 543, 616, 4608, 15560, 267, 967, 626, 3307, 267, 543, 30137, 269, 4107, 4966, 267, 2705, 267, 786, 3858, 602, 2274, 604, 29932, 2576, 1765, 516, 3737, 519, 1007, 2244, 269, 1703, 267, 693, 2547, 2687, 547, 835, 521, 15676, 267, 1247, 2274, 604, 543, 1010, 2367, 4682, 3695, 538, 835, 4287, 267, 1776, 4759, 540, 519, 2754, 267, 513, 4436, 3957, 570, 10455, 12027, 267, 4682, 1055, 676, 5128, 543, 1500, 519, 6602, 540, 1018, 646, 1572, 9174, 268, 11241, 1765, 9109, 828, 538, 519, 3312, 6196, 25245, 267, 12261, 883, 2296, 607, 834, 326, 1905, 525, 1701, 634, 25245, 5443, 1500, 570, 10455, 12027, 781, 834, 326, 1905, 525, 257, 513, 851, 540, 741, 18535, 950, 789, 30774, 2476, 267, 543, 2274, 604, 267, 538, 8956, 540, 713, 8037, 851, 540, 519, 2197, 781, 3132, 267, 1572, 519, 2244, 834, 310, 514, 14657, 4799, 2026, 513, 4436, 267, 570, 10455, 12027, 10645, 547, 917, 1018, 646, 729, 6158, 827, 281, 834, 296, 729, 4535, 1141, 972, 568, 1100, 3668, 540, 2901, 18683, 610, 30676, 2437, 646, 5143, 2274, 604, 269, 1809, 519, 5767, 6644, 13141, 1149, 547, 519, 3661, 602, 519, 30676, 540, 2274, 604, 18238, 26856, 781, 834, 310, 514, 14657, 257, 1765, 2865, 4440, 519, 7187, 5032, 540, 1715, 11398, 1633, 2443, 26200, 538, 1249, 711, 18683, 693, 782, 855, 519, 2371, 540, 519, 3552, 22623, 9440, 269, 476, 6271, 7058, 568, 602, 1018, 519, 31557, 3957, 519, 2244, 585, 729, 803, 20760, 6371, 267, 1572, 2895, 320, 1227, 24064, 610, 24064, 828, 2073, 543, 31495, 2181, 1540, 676, 2663, 2995, 619, 540, 519, 521, 15676, 269, 476, 3143, 3552, 18683, 1332, 538, 865, 1164, 513, 20173, 269, 9282, 621, 568, 1379, 2685, 454, 339, 3319, 532, 547, 3494, 602, 519, 31557, 2731, 1705, 3605, 18683, 538, 741, 15550, 1633, 267, 519, 2963, 568, 782, 1996, 873, 8259, 649, 15475, 602, 519, 2916, 540, 519, 3148, 729, 3648, 15911, 1287, 982, 1631, 269, 4256, 2012, 540, 834, 310, 514, 14657, 2437, 2705, 267, 729, 5140, 28897, 269, 1280, 519, 11782, 602, 789, 1185, 4362, 729, 538, 1249, 513, 1390, 2067, 11903, 12881, 267, 1141, 267, 20991, 547, 519, 5045, 267, 543, 689, 5032, 547, 5032, 267, 519, 18812, 678, 3999, 539, 538, 1527, 4288, 543, 3099, 563, 294, 1905, 525, 1332, 10731, 569, 538, 1082, 2694, 540, 519, 1158, 281, 16310, 519, 18683, 540, 519, 5929, 4609, 538, 519, 14033, 5101, 543, 538, 2342, 267, 972, 616, 4457, 18683, 267, 20528, 3150, 18683, 267, 12144, 18683, 269, 1809, 267, 1498, 519, 18812, 11903, 568, 4922, 27031, 543, 11593, 22537, 267, 621, 786, 711, 1332, 10876, 267, 543, 538, 930, 4025, 1141, 621, 9428, 10149, 8894, 528, 3585, 267, 621, 1869, 1281, 711, 1332, 1134, 585, 519, 3094, 655, 6033, 781, 5301, 269, 634, 1292, 9993, 616, 519, 991, 585, 6190, 3141, 547, 3142, 519, 13421, 540, 4829, 547, 2407, 18009, 8864, 267, 2943, 6190, 5162, 28306, 547, 1450, 519, 11903, 547, 979, 26862, 269, 1703, 568, 1776, 7156, 269, 634, 865, 10777, 834, 25270, 257, 540, 513, 9174, 3340, 602, 519, 4006, 1543, 540, 519, 18812, 1765, 24207, 569, 519, 1587, 540, 3002, 1765, 2254, 8267, 332, 519, 3679, 1543, 269, 18320, 1454, 3002, 5012, 547, 1932, 1454, 4006, 543, 5786, 540, 8137, 269, 18320, 2370, 267, 547, 1932, 1454, 3679, 269, 23657, 3665, 30001, 519, 3666, 540, 2609, 269, 4595, 519, 18626, 2136, 2276, 6013, 1369, 519, 22465, 7997, 540, 519, 8832, 25955, 267, 621, 568, 267, 1034, 540, 621, 267, 1761, 11903, 12881, 1858, 1765, 2288, 711, 8209, 1434, 11903, 12881, 1858, 269, 769, 1249, 267, 811, 2249, 540, 5065, 30676, 616, 1336, 538, 3345, 3013, 982, 9170, 3116, 538, 519, 1158, 269, 634, 1297, 540, 922, 5065, 2249, 9775, 2687, 547, 519, 1062, 540, 8760, 4553, 267, 855, 621, 568, 593, 519, 1931, 540, 13977, 267, 610, 827, 3368, 540, 519, 1297, 1336, 2429, 519, 3003, 1158, 269, 3097, 3080, 1590, 11168, 519, 2262, 5065, 1547, 634, 11903, 540, 3864, 3094, 655, 1136, 267, 519, 11903, 602, 25424, 12630, 1310, 519, 24627, 267, 568, 519, 2249, 24064, 32070, 2443, 257, 1492, 9174, 581, 13145, 2437, 538, 700, 4883, 30906, 781, 5824, 1765, 1993, 519, 12593, 966, 4345, 2073, 519, 11903, 269, 966, 4345, 24064, 32070, 568, 519, 11903, 4171, 1686, 568, 9838, 609, 519, 1686, 540, 9174, 3294, 281, 519, 3762, 540, 24064, 32070, 12622, 519, 8202, 540, 667, 542, 903, 639, 538, 1010, 17636, 282, 519, 5452, 540, 24064, 32070, 616, 1336, 609, 519, 544, 27186, 540, 519, 943, 21198, 338, 538, 519, 26829, 269, 898, 729, 519, 10433, 540, 24064, 32070, 267, 12357, 569, 9800, 609, 519, 7060, 540, 18829, 267, 602, 3366, 519, 606, 857, 757, 547, 1921, 9174, 609, 519, 5289, 7706, 543, 547, 1118, 621, 606, 15982, 851, 540, 3909, 16008, 269, 769, 519, 5215, 540, 1296, 1282, 799, 24064, 32070, 814, 1044, 896, 14713, 267, 621, 814, 3812, 5215, 540, 8677, 1765, 275, 267, 1822, 676, 835, 1293, 267, 476, 276, 267, 1822, 676, 1776, 267, 476, 279, 267, 1822, 676, 2943, 1776, 267, 1498, 972, 568, 1100, 10853, 1259, 547, 12446, 693, 513, 4137, 269, 476, 634, 18812, 568, 7683, 538, 1184, 540, 8390, 998, 519, 19155, 621, 7472, 267, 543, 519, 6444, 8677, 616, 1152, 519, 6263, 6824, 5697, 676, 812, 585, 1010, 5301, 689, 1851, 519, 4608, 870, 539, 6634, 602, 723, 6738, 16382 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4014, 1507, 267, 713, 9742, 22234, 606, 17715, 543, 1134, 3491, 15251, 539, 1560, 267, 15386, 922, 22231, 543, 11419, 563, 10870, 520, 543, 7822, 454, 3080, 540, 519, 10747, 2934, 540, 519, 2296, 6519, 6833, 8175, 729, 922, 26546, 543, 10053, 10359, 267, 799, 729, 6986, 3043, 269, 634, 10359, 729, 2110, 267, 5347, 267, 543, 17953, 344, 267, 8506, 8766, 25462, 269, 1717, 267, 621, 779, 1271, 547, 4063, 602, 1813, 547, 519, 9742, 779, 14486, 267, 519, 2296, 6519, 6833, 8175, 568, 1100, 3476, 2139, 2221, 267, 543, 1346, 19101, 547, 581, 2296, 6519, 6833, 13205, 949, 4866, 547, 824, 2147, 23302, 14981, 563, 307, 655, 704, 3512, 543, 22226, 454, 763, 2296, 6519, 6833, 8175, 1185, 513, 17175, 7209, 543, 729, 1634, 585, 922, 15754, 622, 2470, 269, 898, 729, 513, 10121, 543, 13991, 13959, 267, 2141, 5275, 519, 2754, 540, 922, 1920, 2818, 269, 6736, 922, 1507, 2450, 267, 713, 9742, 22234, 513, 8746, 543, 29752, 29916, 269, 898, 729, 10995, 267, 10332, 267, 543, 16994, 547, 6217, 267, 1818, 621, 606, 5140, 4585, 27594, 269, 634, 2296, 6519, 6833, 8175, 729, 849, 1634, 585, 922, 22488, 543, 18512, 2470, 267, 8744, 7772, 543, 9913, 547, 922, 7622, 563, 32086, 543, 11644, 20126, 454, 12024, 1022, 824, 2915, 9742, 267, 519, 2296, 6519, 6833, 8175, 2838, 2038, 23462, 543, 5812, 2866, 547, 1831, 513, 1134, 25454, 543, 1073, 539, 1304, 13959, 269, 901, 9742, 729, 10995, 543, 11235, 547, 5225, 267, 1818, 2866, 7886, 513, 14785, 1995, 585, 1312, 519, 2915, 543, 519, 8227, 269, 15474, 15699, 2409, 267, 971, 607, 17192, 267, 13000, 267, 543, 1404, 267, 5249, 1655, 609, 713, 9742, 563, 8802, 8973, 3635, 2115, 267, 519, 2296, 6519, 6833, 8175, 1185, 9793, 1648, 2157, 543, 2838, 3232, 2168, 543, 2790, 14242, 269, 8617, 15211, 267, 1404, 5503, 267, 543, 7317, 9162, 6854, 713, 9742, 6126, 543, 2635, 269, 12056, 538, 2238, 602, 13934, 741, 4987, 267, 971, 607, 11015, 9162, 610, 24150, 2866, 267, 5280, 2061, 30627, 543, 16160, 5615, 563, 294, 3336, 532, 543, 2657, 5516, 454, 18814, 547, 922, 2110, 543, 5347, 10359, 267, 519, 2296, 6519, 6833, 8175, 1185, 5266, 1970, 25462, 2115, 269, 28315, 17678, 609, 513, 2571, 1490, 16824, 11453, 610, 513, 25462, 5378, 339, 729, 2356, 6190, 547, 1832, 519, 10359, 3168, 2973, 543, 21743, 269, 12769, 553, 1308, 28876, 729, 2556, 547, 1832, 519, 2915, 1159, 2454, 4195, 267, 855, 7050, 28876, 1058, 581, 14284, 547, 2061, 2960, 3819, 1145, 563, 8802, 8973, 1072, 1416, 267, 621, 779, 1271, 547, 4063, 602, 519, 2296, 6519, 6833, 8175, 568, 606, 17255, 9742, 543, 1100, 3476, 6818, 2221, 269, 1717, 267, 789, 941, 12155, 547, 1808, 1072, 2152, 1455, 547, 1768, 8175, 14981, 1282, 741, 942, 269, 1452, 3769, 5959, 2042, 267, 11959, 267, 1273, 15362, 12743, 566, 267, 543, 18555, 1145, 269, 8617, 18915, 2638, 13522, 543, 513, 7059, 2732, 941, 1898, 585, 4509, 519, 2949, 1072, 543, 1134, 5630, 540, 519, 2296, 6519, 6833, 8175, 563, 293, 29623, 543, 12594, 454, 288, 14312, 543, 1134, 28394, 2331, 2732, 568, 2629, 585, 1022, 2915, 9742, 779, 2949, 1072, 543, 15325, 269, 634, 2296, 6519, 6833, 8175, 2838, 1164, 7779, 2915, 1426, 602, 1558, 922, 9422, 2115, 269, 13693, 566, 609, 513, 16943, 1131, 3391, 519, 3617, 6712, 7306, 267, 8023, 4908, 267, 543, 8192, 4170, 585, 713, 9742, 269, 898, 779, 1271, 547, 4063, 602, 8023, 7840, 949, 4268, 4470, 593, 2085, 267, 2450, 267, 2534, 1377, 267, 543, 2949, 1072, 563, 13349, 2657, 12983, 454, 2026, 5018, 267, 519, 2296, 6519, 6833, 8175, 729, 12155, 547, 1808, 1072, 2152, 269, 15482, 2042, 267, 1519, 5694, 9178, 543, 10733, 2068, 267, 941, 1455, 538, 713, 9742, 269, 8617, 5959, 1416, 267, 971, 607, 4522, 17678, 543, 2638, 13522, 267, 729, 1898, 585, 1434, 5711, 9882, 269, 3958, 267, 11959, 267, 3226, 547, 1978, 3536, 610, 2825, 2188, 267, 1223, 1860, 930, 2043, 540, 713, 9742, 269, 17291, 543, 9319, 23480, 1131, 948, 2061, 9636, 543, 13027, 6547, 563, 5194, 1072, 6161, 585, 519, 2296, 6519, 6833, 8175, 729, 1273, 15362, 12743, 566, 267, 1141, 519, 9054, 1815, 777, 3587, 20247, 11343, 689, 922, 3339, 2990, 269, 8617, 3635, 543, 4509, 513, 2635, 2597, 941, 2629, 538, 10893, 519, 1981, 540, 713, 2783, 269, 14936, 267, 930, 2296, 6519, 6833, 13205, 941, 1634, 547, 581, 18555, 610, 13148, 18555, 267, 10771, 519, 2956, 540, 2038, 2866, 543, 1688, 6786, 547, 5968, 3927, 609, 519, 2915, 563, 24400, 519, 9406, 2296, 6519, 6833, 8175, 454, 4407, 519, 2296, 6519, 6833, 8175, 568, 606, 17255, 9742, 267, 621, 779, 1898, 547, 5031, 519, 2956, 540, 3743, 2915, 9562, 950, 7446, 1022, 2915, 9742, 269, 1403, 596, 2461, 6236, 513, 2147, 23302, 9742, 610, 1776, 1768, 8175, 9742, 267, 9488, 1382, 543, 5872, 609, 18019, 9742, 619, 610, 15063, 3906, 616, 2629, 269, 13760, 519, 9742, 779, 29525, 267, 3635, 2115, 267, 25462, 4170, 267, 543, 1761, 1072, 2152, 547, 2327, 621, 20383, 609, 707, 6197, 543, 7375, 269, 3958, 267, 2015, 10073, 689, 24181, 610, 15063, 2516, 607, 513, 17519, 4781, 547, 1683, 513, 15962, 1753, 547, 513, 964, 6326, 2915, 538, 991, 563, 12892, 1436, 543, 12389, 17148, 454, 12892, 1436, 568, 4105, 538, 5935, 513, 2915, 779, 2623, 543, 2949, 29525, 269, 6145, 1022, 824, 9742, 267, 519, 2296, 6519, 6833, 8175, 2877, 2038, 543, 2318, 4598, 547, 1585, 1004, 267, 2831, 267, 543, 5054, 547, 1020, 883, 513, 1134, 25454, 13959, 269, 28523, 344, 23462, 5049, 543, 6417, 31047, 547, 1007, 2833, 941, 3810, 5227, 585, 713, 9742, 563, 8802, 8973, 2713, 2175, 267, 519, 2296, 6519, 6833, 8175, 729, 22537, 547, 1585, 5054, 269, 1717, 267, 621, 4278, 1882, 1655, 538, 513, 15962, 543, 18906, 633, 7622, 1141, 621, 4607, 15792, 3007, 543, 3635, 269, 6787, 2713, 538, 606, 19887, 610, 513, 2777, 609, 513, 13452, 267, 3246, 6190, 2790, 543, 2168, 14242, 729, 2629, 585, 519, 1134, 5630, 540, 713, 3742, 543, 10995, 9742, 563, 21761, 18542, 5999, 630, 11902, 17988, 994, 6701, 2296, 6519, 6833, 13205, 1434, 609, 1453, 888, 27028, 5193, 569, 256, 634, 2296, 6519, 6833, 8175, 729, 1634, 585, 922, 15754, 622, 543, 7874, 2470, 267, 1818, 621, 513, 1390, 13959, 585, 1453, 269, 1717, 267, 621, 779, 1271, 547, 27459, 1047, 4205, 1063, 5243, 543, 1762, 1453, 543, 4001, 873, 875, 547, 2170, 609, 543, 2463, 519, 2915, 14013, 563, 2710, 2296, 6519, 6833, 13205, 2154, 513, 2603, 540, 5751, 888, 4407, 519, 2296, 6519, 6833, 8175, 1185, 9793, 3635, 2115, 267, 621, 1869, 2838, 3232, 2168, 2534, 547, 3251, 6126, 543, 2635, 269, 8617, 15211, 267, 1404, 7886, 267, 543, 2790, 14242, 941, 1898, 547, 15508, 543, 9308, 18398, 713, 9742, 563, 6701, 789, 5078, 585, 19887, 2713, 888, 763, 2296, 6519, 6833, 8175, 1223, 3082, 1134, 547, 19887, 2713, 267, 3177, 789, 4607, 2834, 3635, 543, 2790, 14242, 269, 1717, 267, 621, 779, 1271, 547, 4063, 602, 1367, 3635, 2115, 949, 4268, 267, 543, 1569, 547, 9205, 5624, 585, 15211, 543, 1404, 5503, 1131, 581, 6225, 563, 1692, 1419, 1058, 594, 19081, 606, 2296, 6519, 6833, 8175, 888, 763, 2296, 6519, 6833, 8175, 1185, 513, 2110, 267, 5347, 10359, 8506, 8766, 25462, 269, 28315, 17678, 543, 17573, 28876, 941, 6190, 547, 1832, 741, 10359, 538, 1434, 2783, 269, 1717, 267, 25462, 4170, 949, 4268, 4470, 593, 519, 1367, 2915, 779, 2115, 563, 1432, 568, 519, 3328, 14438, 540, 606, 2296, 6519, 6833, 8175, 888, 763, 3328, 14438, 540, 606, 2296, 6519, 6833, 8175, 729, 1472, 476, 1321, 547, 476, 1428, 1296, 269, 1717, 267, 621, 779, 1271, 547, 4063, 602, 519, 9742, 568, 17255, 267, 543, 1100, 2296, 6519, 6833, 13205, 2291, 2221, 269, 5381, 1768, 8175, 14981, 949, 723, 1114, 3328, 12468, 335, 753, 563, 4415, 922, 3638, 1686, 543, 23406, 7209, 267, 519, 2296, 6519, 6833, 8175, 729, 513, 9742, 602, 2451, 513, 9434, 12705, 269, 4014, 17255, 2221, 267, 922, 9371, 2729, 593, 998, 11147, 267, 11247, 267, 543, 922, 1764, 593, 824, 1768, 8175, 14981, 269, 901, 17175, 13959, 729, 1634, 585, 922, 15754, 622, 2470, 267, 4987, 267, 543, 22488, 1629, 6756, 528, 269, 1403, 596, 2461, 6236, 513, 2147, 23302, 9742, 610, 1776, 1768, 8175, 267, 3314, 519, 2956, 540, 3743, 9562, 267, 1697, 23462, 267, 543, 5870, 519, 1808, 2115, 540, 519, 1367, 2915, 269, 2060, 2648, 267, 1416, 267, 543, 3007, 267, 1022, 2915, 666, 1831, 513, 19644, 1920, 4759, 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 ]
[ 3606, 3296, 269, 3371, 649, 723, 585, 596, 519, 1034, 1271, 1344, 827, 875, 1454, 568, 476, 3199, 269, 4366, 4846, 3160, 547, 7273, 543, 875, 547, 6460, 476, 3199, 269, 4366, 4846, 547, 7273, 1547, 2913, 779, 1294, 780, 1432, 568, 519, 11304, 547, 11013, 7503, 286, 634, 7503, 4846, 547, 18470, 568, 1175, 14921, 476, 273, 2338, 269, 1215, 1281, 476, 3199, 269, 4366, 4846, 547, 11013, 7503, 4542, 1413, 286, 1547, 898, 568, 1524, 2630, 1384, 763, 1297, 540, 13532, 2608, 476, 273, 269, 14225, 25118, 7830, 815, 519, 1267, 538, 6550, 692, 8450, 519, 1267, 540, 519, 7503, 540, 476, 3199, 269, 4366, 11304, 547, 6550, 269, 634, 2953, 1267, 568, 476, 10082, 269, 275, 2764, 271, 2764, 3393, 278, 277, 6550, 780, 2467, 568, 849, 1776, 1259, 547, 5173, 875, 1454, 476, 3199, 269, 4366, 11304, 568, 3160, 547, 6550, 609, 1776, 267, 27571, 4528, 540, 519, 4542, 269, 2913, 779, 1294, 780, 763, 1297, 540, 13532, 2608, 476, 273, 269, 273, 815, 519, 1267, 538, 6550, 692, 3383, 538, 713, 2013, 267, 476, 3199, 269, 4366, 4846, 3160, 547, 875, 1454, 7273, 7790, 634, 2626, 568, 476, 10082, 269, 275, 2764, 271, 2764, 3393, 278, 277, 18470, 780, 1692, 547, 6460, 476, 3199, 269, 4366, 4846, 547, 7273, 538, 606, 4443, 1259, 286, 898, 568, 2009, 547, 946, 519, 476, 3199, 269, 4366, 4846, 547, 7273, 20303, 2073, 799, 786, 1118, 2898, 6310, 5106, 585, 596, 543, 2285, 596, 513, 2953, 1267, 16317, 298, 559, 9999, 1496, 11899, 6540, 763, 11304, 267, 610, 11304, 1889, 267, 568, 519, 3490, 1770, 540, 2597, 538, 519, 5450, 878, 1062, 269, 898, 568, 519, 16977, 2597, 540, 513, 13306, 540, 1216, 476, 1015, 17744, 593, 513, 2427, 780, 303, 2432, 1496, 331, 2125, 6540, 288, 11013, 568, 513, 1770, 540, 2597, 4122, 1031, 538, 519, 2136, 2276, 543, 519, 3703, 1455, 17314, 338, 269, 589, 11013, 568, 3989, 607, 4010, 476, 271, 269, 28526, 30020, 4391, 13532, 269, 0, 258, 1215, 547, 14458, 2731, 7294, 12572, 4082, 2496, 296, 723, 606, 4082, 602, 3568, 16429, 327, 20572, 3910, 595, 9655, 20572, 316, 543, 16429, 314, 326, 3910, 543, 594, 1616, 547, 14458, 621, 883, 606, 4443, 1106, 267, 1759, 593, 519, 6323, 3510, 630, 296, 993, 3257, 930, 2489, 25536, 9819, 1070, 594, 917, 621, 1058, 581, 16866, 883, 513, 9971, 540, 579, 267, 543, 9039, 540, 519, 14170, 540, 579, 1058, 2270, 1022, 27847, 2338, 780, 1432, 594, 993, 3257, 1318, 1631, 568, 1175, 1210, 22217, 1518, 543, 930, 2731, 2241, 3270, 607, 7004, 3652, 269, 16393, 2576, 2285, 803, 930, 19583, 593, 875, 547, 14458, 621, 2496, 7775, 1223, 2576, 5225, 2285, 803, 930, 2326, 610, 1806, 593, 875, 547, 14458, 2731, 7294, 7215, 2496, 2080, 568, 1250, 4082, 602, 2115, 547, 581, 14458, 539, 780, 9230, 273, 544, 317, 273, 268, 274, 544, 678, 266, 337, 317, 273, 266, 320, 317, 273, 579, 317, 273, 266, 332, 630, 273, 544, 8573, 264, 15328, 314, 273, 575, 8079, 595, 9655, 314, 335, 275, 316, 317, 273, 268, 275, 594, 513, 544, 579, 15328, 314, 326, 316, 595, 9655, 314, 335, 275, 316, 16429, 327, 314, 335, 275, 316, 24179, 337, 317, 273, 266, 320, 317, 273, 579, 317, 273, 264, 16429, 327, 314, 335, 275, 316, 317, 273, 264, 630, 8987, 332, 678, 266, 337, 317, 273, 266, 320, 317, 273, 579, 317, 273, 2173, 678, 15328, 314, 273, 575, 8079, 595, 9655, 314, 336, 275, 316, 317, 273, 266, 275, 544, 595, 9655, 314, 336, 275, 316, 11196, 296, 513, 579, 595, 9655, 314, 335, 275, 316, 16429, 314, 326, 316, 268, 272, 270, 273, 678, 16429, 314, 273, 575, 316, 16429, 327, 314, 335, 275, 8079, 16429, 327, 314, 336, 275, 27994, 272, 270, 273, 11196, 275, 544, 317, 273, 266, 276, 544, 678, 268, 273, 678, 317, 273, 268, 273, 513, 317, 273, 579, 317, 273, 2173, 678, 15328, 314, 273, 575, 27994, 332, 11196, 275, 544, 266, 274, 678, 266, 337, 15328, 314, 273, 575, 8079, 595, 9655, 314, 273, 533, 275, 27994, 275, 594, 513, 544, 579, 15328, 314, 326, 316, 16429, 327, 314, 273, 533, 275, 8079, 16429, 327, 314, 336, 275, 316, 317, 273, 264, 11196, 263, 332, 317, 273, 595, 9655, 314, 335, 275, 316, 16733, 275, 544, 678, 268, 274, 678, 317, 273, 266, 274, 513, 317, 273, 579, 317, 273, 23444, 275, 544, 678, 8573, 317, 273, 266, 320, 317, 273, 579, 317, 273, 264, 15328, 314, 273, 575, 8079, 595, 9655, 314, 335, 275, 316, 268, 279, 594, 513, 678, 579, 15328, 314, 326, 316, 16429, 327, 314, 335, 275, 8079, 630, 273, 594, 513, 579, 595, 9655, 314, 336, 275, 316, 16429, 314, 326, 316, 16429, 327, 314, 335, 275, 316, 268, 273, 594, 513, 579, 15328, 314, 326, 316, 595, 9655, 314, 335, 275, 316, 317, 273, 16429, 327, 314, 336, 275, 27994, 8987, 273, 594, 513, 579, 15328, 314, 326, 316, 16429, 327, 314, 335, 275, 316, 317, 273, 266, 332, 630, 272, 266, 290, 657, 314, 326, 316, 317, 273, 264, 16429, 327, 314, 273, 533, 275, 8079, 16429, 327, 314, 336, 275, 316, 268, 290, 9655, 314, 335, 275, 316, 16733, 273, 544, 8573, 264, 595, 9655, 314, 336, 275, 316, 16429, 314, 273, 575, 316, 23444, 332, 266, 274, 678, 266, 8987, 332, 266, 337, 264, 15328, 314, 273, 575, 8079, 16429, 327, 314, 335, 275, 316, 16429, 327, 314, 336, 275, 316, 4297, 8358, 9230, 337, 317, 273, 266, 320, 317, 273, 579, 317, 273, 264, 630, 8987, 273, 544, 317, 273, 266, 274, 544, 678, 8573, 317, 273, 8584, 317, 273, 579, 317, 273, 2173, 630, 273, 544, 8573, 264, 15328, 314, 273, 575, 8079, 595, 9655, 314, 335, 275, 316, 317, 273, 266, 275, 594, 513, 544, 579, 15328, 314, 326, 316, 595, 9655, 314, 335, 275, 316, 16429, 327, 314, 335, 275, 316, 23444, 337, 317, 273, 266, 320, 317, 273, 579, 317, 273, 264, 16429, 327, 314, 335, 275, 316, 317, 273, 8203, 273, 11924, 263, 273, 544, 11196, 273, 594, 513, 678, 579, 15328, 314, 326, 316, 595, 9655, 314, 335, 275, 316, 317, 273, 16429, 327, 314, 336, 275, 27994, 290, 9655, 314, 335, 275, 316, 630, 8987, 275, 544, 678, 266, 337, 317, 273, 8584, 317, 273, 579, 317, 273, 264, 15328, 314, 326, 316, 595, 9655, 314, 336, 275, 316, 16429, 314, 326, 316, 23444, 273, 630, 273, 544, 8573, 264, 678, 15328, 314, 326, 316, 317, 273, 266, 8987, 337, 317, 273, 266, 320, 317, 273, 579, 317, 273, 264, 16429, 314, 326, 316, 317, 273, 264, 16429, 327, 314, 335, 275, 316, 16429, 327, 314, 336, 275, 8079, 266, 320, 579, 630, 273, 594, 678, 595, 9655, 314, 336, 275, 316, 16429, 314, 326, 316, 16429, 327, 314, 335, 275, 27994, 290, 657, 314, 326, 316, 11196, 273, 594, 678, 16429, 327, 314, 335, 275, 316, 317, 273, 266, 320, 579, 15328, 314, 326, 316, 16429, 327, 314, 273, 533, 275, 8079, 16429, 327, 314, 336, 275, 316, 4297, 8358, 9230, 337, 317, 273, 266, 320, 317, 273, 579, 317, 273, 264, 16733, 273, 544, 317, 273, 268, 274, 544, 678, 266, 337, 317, 273, 266, 320, 317, 273, 579, 317, 273, 266, 332, 630, 273, 544, 8573, 264, 15328, 314, 273, 575, 8079, 595, 9655, 314, 335, 275, 316, 317, 273, 268, 275, 594, 513, 544, 579, 15328, 314, 326, 316, 595, 9655, 314, 335, 275, 316, 16429, 327, 314, 335, 275, 316, 24179, 337, 317, 273, 266, 320, 317, 273, 579, 317, 273, 264, 16429, 327, 314, 335, 275, 316, 317, 273, 4297, 24179, 332, 317, 273, 630, 273, 595, 9655, 314, 336, 275, 316, 630, 278, 594, 513, 544, 579, 15328, 314, 326, 27994, 296, 513, 544, 579, 15328, 314, 326, 316, 317, 274, 266, 273, 594, 513, 579, 15328, 314, 326, 316, 630, 274, 544, 268, 275, 678, 266, 332, 15328, 314, 273, 575, 8079, 595, 9655, 314, 335, 275, 316, 317, 273, 268, 274, 594, 513, 544, 579, 15328, 314, 326, 316, 16429, 314, 326, 316, 317, 273, 268, 273, 595, 9655, 314, 335, 275, 316, 630, 337, 317, 273, 15328, 314, 326, 316, 317, 273, 266, 320, 317, 273, 579, 317, 273, 16429, 314, 326, 316, 317, 273, 264, 16429, 327, 314, 335, 275, 27994, 273, 594, 513, 579, 15328, 314, 326, 316, 630, 274, 544, 268, 275, 678, 266, 332, 15328, 314, 273, 575, 8079, 16429, 327, 314, 335, 275, 316, 317, 273, 266, 275, 544, 678, 16429, 327, 314, 273, 533, 275, 316, 268, 274, 678, 317, 273, 16429, 327, 314, 273, 533, 275, 27994, 274, 513, 317, 273, 579, 317, 273, 16429, 327, 314, 273, 533, 275, 27994, 275, 544, 678, 15328, 314, 326, 316, 317, 273, 16429, 327, 314, 273, 533, 275, 27994, 320, 317, 273, 579, 317, 273, 15328, 314, 326, 316, 317, 273, 16429, 327, 314, 273, 533, 275, 316, 268, 275, 544, 678, 16429, 314, 326, 316, 317, 273, 16429, 327, 314, 273, 533, 275, 27994, 337, 317, 273, 16429, 314, 326, 316, 317, 273, 16429, 327, 314, 273, 533, 275, 8079, 23444, 275, 630, 274, 544, 317, 273, 268, 275, 544, 678, 266, 337, 317, 273, 8584, 317, 273, 579, 317, 273, 264, 595, 9655, 314, 335, 275, 316, 16429, 314, 273, 575, 27994, 275, 544, 317, 273, 595, 9655, 314, 335, 275, 316, 317, 274, 16429, 314, 273, 575, 316, 268, 1321, 594, 513, 544, 579, 595, 9655, 314, 335, 275, 316, 317, 273, 16429, 314, 326, 316, 317, 274, 16429, 327, 314, 335, 275, 316, 268, 296, 16429, 327, 314, 335, 275, 316, 630, 320, 579, 630, 332, 268, 1626, 678, 2173, 15328, 314, 273, 575, 8079, 16429, 314, 326, 27994, 273, 513, 544, 579, 595, 9655, 314, 273, 533, 275, 316, 16429, 314, 326, 316, 317, 274, 266, 277, 594, 544, 317, 273, 16429, 314, 273, 575, 316, 16429, 327, 314, 273, 533, 275, 316, 4297, 16429, 327, 314, 336, 275, 8079, 630, 279, 594, 513, 579, 595, 9655, 314, 335, 275, 316, 595, 9655, 314, 273, 7117, 275, 316, 16429, 314, 326, 27994, 279, 678, 15328, 314, 326, 316, 595, 9655, 314, 336, 275, 316, 317, 273, 16429, 314, 326, 316, 16429, 327, 314, 335, 275, 316, 23444, 275, 544, 268, 274, 678, 266, 278, 678, 15328, 314, 273, 575, 316, 268, 337, 630, 274, 266, 290, 657, 314, 273, 575, 8079, 595, 9655, 314, 273, 533, 275, 8079, 595, 9655, 314, 336, 275, 316, 16429, 327, 314, 336, 275, 27994, 279, 678, 15328, 314, 326, 316, 16429, 314, 326, 316, 16429, 327, 314, 335, 275, 316, 16429, 327, 314, 336, 275, 316, 317, 273, 23444, 275, 544, 268, 274, 678, 8573, 15328, 314, 273, 575, 8079, 595, 9655, 314, 335, 275, 316, 317, 273, 16429, 327, 314, 273, 7117, 275, 27994, 273, 544, 595, 9655, 314, 273, 533, 275, 316, 16429, 327, 314, 273, 7117, 275, 316, 268, 275, 594, 513, 579, 15328, 314, 326, 316, 16429, 327, 314, 273, 533, 275, 316, 16429, 327, 314, 273, 7117, 275, 316, 4297, 14370, 1626, 630, 8987, 273, 544, 317, 273, 266, 274, 544, 678, 8573, 317, 273, 8584, 317, 273, 579, 317, 273, 2173, 630, 273, 544, 8573, 264, 15328, 314, 273, 575, 8079, 595, 9655, 314, 335, 275, 316, 317, 273, 266, 275, 594, 513, 544, 579, 15328, 314, 326, 316, 595, 9655, 314, 335, 275, 316, 16429, 327, 314, 335, 275, 316, 23444, 337, 317, 273, 266, 320, 317, 273, 579, 317, 273, 264, 16429, 327, 314, 335, 275, 316, 317, 273, 8203, 273, 16733, 332, 678, 8573, 317, 273, 8584, 317, 273, 579, 317, 273, 266, 332, 678, 15328, 314, 273, 575, 8079, 595, 9655, 314, 336, 275, 316, 317, 273, 266, 275, 594, 513, 544, 579, 595, 9655, 314, 335, 275, 316, 595, 9655, 314, 336, 275, 316, 16429, 314, 326, 316, 16429, 327, 314, 336, 275, 316, 23444, 275, 544, 317, 273, 268, 275, 544, 678, 266, 337, 317, 273, 266, 320, 317, 273, 579, 317, 273, 264, 595, 9655, 314, 335, 275, 316, 317, 273, 16429, 327, 314, 336, 275, 316, 317, 273, 268, 275, 594, 513, 544, 579, 15328, 314, 326, 316, 595, 9655, 314, 335, 275, 316, 16429, 327 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 658, 10618, 616, 1898, 547, 519, 6668, 543, 1514, 5872, 540, 1480, 7919, 269, 769, 2257, 5708, 543, 519, 2282, 2104, 267, 11608, 616, 9277, 547, 581, 2111, 547, 1174, 8901, 4654, 547, 12840, 543, 28111, 609, 3425, 269, 1717, 267, 621, 3788, 7164, 2436, 1480, 10529, 2543, 11608, 607, 1480, 6438, 1514, 4891, 269, 769, 713, 1353, 267, 1480, 10529, 4766, 3077, 6753, 547, 606, 16494, 1480, 610, 8773, 1039, 637, 5408, 896, 1585, 7653, 8795, 538, 3448, 10584, 1700, 5417, 637, 5408, 5042, 11411, 269, 4325, 5474, 1500, 6697, 5133, 5079, 547, 1480, 543, 8773, 1039, 637, 572, 525, 267, 799, 9846, 17146, 2687, 547, 519, 3448, 10584, 1700, 5417, 637, 5408, 5042, 11411, 269, 1717, 267, 10529, 685, 5133, 3903, 729, 1152, 3648, 17047, 547, 741, 1514, 1983, 950, 519, 1039, 637, 572, 525, 941, 3425, 855, 711, 11608, 269, 1452, 2164, 6700, 602, 1004, 3622, 8263, 11608, 543, 3425, 609, 3160, 7207, 538, 1620, 8901, 11673, 855, 798, 711, 2543, 11608, 607, 1480, 6438, 1514, 4891, 563, 7712, 519, 2262, 968, 13681, 582, 892, 729, 22885, 538, 513, 2257, 5708, 12416, 538, 476, 4572, 271, 267, 1082, 19511, 2257, 5708, 15888, 543, 14971, 18951, 1235, 723, 1044, 3843, 547, 1711, 11608, 602, 666, 12840, 543, 28111, 609, 3425, 269, 23883, 267, 11608, 666, 1174, 3425, 685, 8901, 5528, 547, 30321, 3615, 267, 3914, 18353, 267, 2057, 9465, 267, 543, 865, 593, 630, 299, 655, 5218, 534, 1696, 620, 1421, 476, 1001, 278, 1040, 11048, 267, 8901, 4205, 609, 1866, 616, 711, 1152, 8901, 4247, 855, 849, 1514, 4247, 267, 543, 1004, 779, 10054, 827, 1866, 685, 1514, 1145, 3310, 741, 8901, 5615, 4724, 1866, 630, 307, 951, 5652, 543, 10434, 267, 476, 1220, 280, 282, 2098, 19213, 601, 267, 476, 1220, 280, 282, 17125, 2023, 1696, 620, 1421, 476, 1001, 273, 282, 595, 6123, 28157, 2380, 1696, 620, 1421, 476, 1001, 274, 282, 20579, 2086, 328, 1696, 620, 1421, 476, 1001, 277, 282, 25511, 531, 335, 1696, 620, 1421, 476, 1001, 280, 1040, 4475, 267, 2090, 593, 1480, 1700, 13681, 582, 8901, 4205, 2743, 555, 1941, 344, 2152, 281, 1684, 1004, 2543, 11608, 607, 1480, 6438, 1514, 4891, 610, 1175, 3615, 286, 1656, 1018, 616, 519, 7271, 543, 4539, 540, 5316, 5024, 1514, 1145, 547, 11608, 286, 15766, 908, 891, 2055, 949, 3565, 547, 1312, 8773, 1646, 543, 1480, 5042, 1353, 630, 289, 5802, 321, 550, 267, 476, 1001, 278, 282, 29088, 839, 3780, 543, 9061, 267, 476, 1001, 279, 1916, 1103, 519, 1699, 1382, 267, 649, 9619, 891, 2152, 676, 6313, 1480, 10529, 685, 1582, 268, 1278, 5133, 3903, 950, 10503, 6753, 547, 1480, 543, 8773, 1039, 637, 572, 525, 269, 1306, 1514, 7919, 2713, 538, 519, 1614, 8820, 1158, 267, 3425, 1419, 4766, 8901, 6753, 547, 1866, 547, 5968, 267, 12840, 267, 543, 3035, 824, 1514, 4205, 269, 4658, 616, 1360, 8465, 267, 607, 789, 666, 4766, 8901, 6753, 689, 2901, 2933, 610, 519, 1039, 637, 5408, 779, 5133, 269, 1280, 1383, 267, 950, 9361, 693, 519, 18226, 3349, 267, 513, 10584, 666, 2307, 519, 1268, 6587, 547, 2285, 1200, 10774, 574, 519, 22635, 968, 517, 1250, 2451, 892, 610, 968, 517, 707, 1318, 1848, 1717, 267, 952, 519, 10584, 568, 9361, 6587, 513, 3028, 8773, 267, 4171, 5133, 786, 519, 10584, 3442, 547, 2161, 286, 1280, 1312, 519, 10584, 543, 519, 1039, 637, 5408, 267, 789, 666, 2047, 1569, 519, 19838, 12510, 878, 8901, 1894, 998, 9300, 574, 19318, 1344, 689, 519, 1560, 855, 723, 547, 798, 606, 3063, 2790, 7004, 547, 6460, 519, 19838, 12510, 878, 8901, 1894, 547, 824, 7266, 878, 3283, 630, 324, 3052, 1421, 10162, 29967, 333, 698, 601, 267, 476, 1220, 271, 282, 5576, 3426, 267, 476, 1220, 280, 282, 8895, 10620, 1696, 620, 1421, 476, 1001, 279, 1040, 1280, 519, 10584, 267, 10503, 689, 1582, 1790, 619, 8826, 630, 324, 3052, 1421, 968, 517, 1250, 2451, 14615, 568, 4443, 982, 689, 519, 1039, 637, 5408, 779, 5133, 630, 324, 3052, 1421, 968, 517, 707, 1318, 14615, 6466, 585, 519, 1039, 637, 5408, 267, 1620, 11673, 689, 519, 10584, 779, 5133, 630, 324, 3052, 1421, 519, 10584, 779, 6609, 968, 517, 1250, 2451, 14615, 568, 811, 2352, 982, 689, 1582, 1790, 619, 8826, 630, 324, 3052, 1421, 519, 10584, 779, 6609, 968, 517, 707, 1318, 26158, 4475, 267, 896, 519, 1482, 4305, 2796, 267, 519, 10584, 779, 1482, 610, 1114, 5133, 3903, 585, 519, 1480, 543, 8773, 1039, 637, 572, 525, 814, 1044, 32424, 607, 519, 2963, 540, 2436, 1004, 2543, 11608, 607, 1480, 6438, 8069, 538, 8901, 2792, 630, 29409, 28739, 1696, 620, 1421, 476, 1220, 272, 282, 14210, 1962, 1074, 1696, 620, 1421, 476, 1220, 273, 282, 674, 29531, 267, 476, 1220, 277, 282, 2961, 28952, 1696, 620, 1421, 476, 1001, 275, 282, 9149, 1696, 620, 1421, 476, 1001, 277, 282, 2098, 29697, 1696, 620, 1421, 476, 1001, 277, 1916, 17780, 593, 519, 1657, 8367, 267, 1896, 22082, 2090, 9846, 7000, 602, 1480, 10529, 5701, 8773, 543, 1480, 1039, 637, 572, 525, 8335, 538, 8901, 5133, 23824, 282, 2705, 267, 519, 1336, 3604, 941, 22522, 2066, 2090, 269, 2368, 4505, 2090, 4951, 602, 10529, 22157, 547, 1491, 11608, 685, 5133, 950, 10503, 6753, 547, 11608, 269, 769, 4334, 267, 2487, 2090, 1336, 519, 6587, 1107, 10529, 941, 811, 2693, 547, 1491, 741, 1378, 5133, 950, 1818, 8901, 4205, 609, 11608, 982, 609, 3425, 269, 1280, 1383, 267, 538, 4505, 2090, 630, 29409, 28739, 1696, 620, 1421, 476, 1220, 272, 282, 14210, 1962, 1074, 1696, 620, 1421, 476, 1220, 273, 282, 674, 29531, 267, 476, 1220, 277, 1070, 950, 8231, 958, 4051, 532, 2901, 513, 2915, 6438, 4620, 8773, 267, 513, 4496, 5521, 267, 610, 513, 4216, 6438, 8773, 547, 1847, 547, 1880, 3804, 3615, 267, 5171, 14311, 4330, 689, 11608, 685, 5380, 269, 1717, 267, 538, 2487, 2090, 267, 950, 4051, 532, 513, 8773, 610, 513, 1480, 547, 1265, 3077, 3615, 593, 513, 3349, 630, 30537, 1696, 620, 1421, 476, 1001, 277, 264, 610, 538, 513, 2777, 630, 10111, 28952, 1696, 620, 1421, 476, 1001, 275, 1070, 610, 950, 16208, 606, 24813, 1297, 630, 328, 4318, 1421, 476, 277, 610, 476, 280, 264, 630, 313, 29697, 1696, 620, 1421, 476, 1001, 277, 1070, 5171, 941, 1447, 2693, 547, 1491, 519, 11608, 685, 982, 3425, 685, 5380, 563, 8601, 519, 24081, 1890, 267, 519, 1657, 2090, 3622, 8815, 593, 519, 8367, 602, 1480, 10529, 1246, 519, 6240, 540, 2547, 10319, 4674, 630, 5141, 1046, 543, 12070, 7719, 8566, 756, 2125, 267, 476, 2735, 277, 264, 538, 5133, 5079, 547, 1312, 519, 1480, 543, 8773, 1039, 637, 572, 525, 630, 293, 29531, 267, 476, 1220, 277, 282, 2961, 28952, 1696, 620, 1421, 476, 1001, 275, 1040, 4340, 547, 713, 6240, 267, 519, 6643, 4891, 267, 3079, 540, 10893, 519, 10584, 779, 610, 519, 1039, 637, 5408, 779, 4674, 14350, 267, 1491, 2272, 540, 1312, 5011, 685, 4674, 543, 3082, 741, 5133, 547, 2671, 519, 5042, 11411, 543, 7520, 741, 11558, 269, 13018, 267, 10529, 949, 6521, 741, 8901, 5380, 2687, 547, 1585, 2188, 689, 873, 1345, 267, 519, 1039, 637, 572, 525, 267, 543, 519, 5054, 630, 291, 584, 534, 1696, 620, 1421, 476, 1001, 277, 282, 623, 9567, 1172, 523, 6441, 731, 344, 1696, 620, 1421, 476, 1001, 277, 282, 585, 513, 2689, 267, 1294, 8895, 10620, 543, 2997, 571, 600, 1938, 267, 476, 1001, 274, 1040, 1280, 1383, 267, 10529, 949, 1902, 741, 4674, 547, 1491, 519, 1039, 637, 572, 525, 685, 5133, 950, 10529, 723, 1164, 8901, 5759, 630, 19913, 3426, 267, 476, 1220, 280, 1070, 950, 789, 3494, 519, 1039, 637, 5408, 568, 3908, 538, 8901, 5759, 610, 3112, 1683, 5955, 630, 19913, 3426, 267, 476, 1960, 274, 267, 476, 1220, 280, 1070, 610, 950, 789, 1336, 519, 1039, 637, 5408, 779, 5133, 568, 2653, 547, 9772, 630, 307, 951, 5652, 1696, 620, 1421, 476, 1960, 280, 282, 8895, 10620, 543, 2997, 571, 600, 1938, 267, 476, 1001, 276, 1916, 11997, 267, 519, 22522, 4681, 1851, 3105, 2090, 1522, 14487, 547, 741, 1585, 29927, 538, 1039, 637, 572, 525, 267, 10529, 267, 543, 4247, 269, 3689, 540, 782, 267, 519, 8773, 1039, 637, 572, 525, 616, 1114, 2066, 3105, 2090, 269, 9603, 547, 519, 4028, 18951, 1646, 543, 7839, 2257, 5708, 8773, 2592, 630, 313, 22119, 582, 22603, 1696, 620, 1421, 476, 1001, 276, 1070, 1480, 10529, 538, 4505, 543, 2487, 2090, 949, 6521, 741, 13429, 827, 11608, 685, 7207, 689, 1447, 547, 811, 5827, 982, 3425, 267, 4611, 538, 811, 547, 1447, 824, 1790, 619, 8826, 5079, 585, 8773, 982, 1480, 1039, 637, 572, 525, 269, 5047, 267, 519, 11608, 685, 23079, 616, 9867, 2066, 3105, 2090, 630, 324, 3052, 1421, 3684, 6438, 267, 3662, 6438, 267, 610, 1480, 6438, 1070, 799, 949, 16578, 1114, 10054, 827, 11608, 685, 7207, 630, 298, 571, 577, 1696, 620, 1421, 476, 1220, 279, 282, 28635, 1695, 20076, 1696, 620, 1421, 476, 1001, 275, 282, 11809, 340, 543, 26284, 267, 476, 1708, 271, 1040, 5822, 267, 519, 1480, 10529, 616, 540, 1114, 6502, 543, 689, 1114, 2477, 269, 1280, 1383, 267, 4436, 543, 2136, 2276, 5171, 941, 7318, 538, 4505, 543, 2487, 2090, 267, 6606, 282, 4587, 4079, 941, 7318, 538, 2961, 28952, 1696, 620, 269, 630, 1001, 275, 1040, 4475, 267, 519, 10529, 949, 4268, 538, 1082, 7592, 2565, 547, 1480, 1700, 13681, 582, 5872, 630, 19913, 933, 514, 31000, 1696, 620, 1421, 476, 1708, 271, 1070, 971, 607, 10236, 31532, 12402, 630, 328, 4318, 1421, 5316, 5024, 1480, 6438, 4162, 547, 1875, 25993, 9988, 282, 552, 3052, 1421, 519, 2842, 814, 15752, 264, 543, 8901, 5759, 267, 799, 729, 6700, 547, 581, 1644, 547, 1004, 779, 13429, 827, 11608, 685, 7207, 630, 310, 599, 16379, 1696, 620, 1421, 476, 1001, 271, 282, 1530, 951, 517, 543, 19748, 332, 267, 476, 1001, 277, 264, 543, 10529, 685, 5133, 3903, 630, 19913, 3426, 267, 476, 1220, 280, 282, 8895, 10620, 1696, 620, 1421, 476, 1001, 280, 321, 1040, 14936, 267, 519, 8901, 6609, 4247, 616, 1114, 1851, 3105, 2090, 267, 799, 949, 16578, 1114, 3448, 10584, 1700, 5417, 637, 5408, 5042, 11411, 630, 303, 9567, 1172, 523, 6441, 731, 344, 1696, 620, 1421, 476, 1001, 277, 264, 543, 6521, 10529, 685, 5133, 3903, 8335, 547, 1480, 543, 8773, 1039, 637, 572, 525, 269, 1280, 1383, 267, 2066, 2090, 267, 519, 8901, 4336, 729, 3349, 9008, 267, 4055, 267, 610, 2777, 282, 519, 1297, 540, 16297, 528, 3615, 9867, 689, 476, 273, 547, 476, 1691, 282, 519, 1039, 637, 572, 525, 3177, 5955, 610, 711, 563, 11101, 267, 14322, 11608, 616, 5827, 540, 3257, 8901, 5133, 23824, 1281, 711, 8209, 1611, 1004, 3823, 11608, 607, 1514, 4891, 269, 10765, 2090, 593, 3308, 1700, 4944, 7652, 5133, 23824, 630, 306, 3559, 2023, 1696, 620, 1421, 476, 1001, 273, 282, 595, 6123, 28157, 2380, 1696, 620, 1421, 476, 1001, 274, 264, 2303, 602, 519, 5872, 1063, 1514, 1983, 543, 5133, 23824, 2773, 2864, 982, 5133, 23824, 2773, 829, 694, 568, 519, 2963, 540, 2436, 1004, 2543, 519, 9072, 607, 1514, 8069, 269, 769, 4247, 2147, 547, 13100, 27600, 779, 1614, 2173, 870, 1622, 5133, 23824, 1449, 267, 17125, 2023, 543, 1200, 9164, 630, 306, 3559, 2023, 1696, 620, 1421, 476, 1001, 273, 282, 595, 6123, 28157, 2380, 1696, 620, 1421, 476, 1001, 274, 264, 4280, 5171, 547, 9794, 6337, 3144, 689, 799, 9072, 685, 5133, 269, 634, 9072, 1223, 581, 1480, 6438, 31119, 610, 3615, 971, 607, 12730, 610, 12514, 269, 634, 2164, 4951, 602, 4352, 1004, 779, 5133, 23824, 12644, 941, 6697, 2066, 9072, 267, 741, 12644, 941, 17047, 609, 1514, 1983, 1152, 950, 519, 9072, 941, 1480, 6438, 31119, 855, 711, 3615, 267, 11021, 1004, 3823, 1480, 6438, 31119, 855, 711, 3615, 607, 1514, 8069, 269, 4595, 10503, 6753, 547, 824, 1004, 568, 849, 513, 1514, 4305, 5473, 5133, 23824, 267, 10529, 685, 5133, 3903, 949, 849, 581, 17047, 609, 741, 1514, 1983, 269, 4935, 267, 7893, 519, 9756, 1063, 10529, 685, 1514, 1983, 543, 741, 5133, 5079, 538, 8901, 11673, 949, 7866, 2436, 1004, 2543, 8773, 1039, 637, 572, 525, 607, 1480, 6438, 1514, 7919, 563, 11997, 267, 538, 713, 1353, 267, 538, 1931, 547, 2417, 8495, 2436, 1480, 10529, 2543, 11608, 607, 1480, 6438, 1039, 637, 572, 525, 267, 649, 630, 272, 264, 8947 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8044, 782, 1614, 910, 14322, 1863, 786, 19037, 269, 594, 1131, 2161, 3972, 568, 513, 1533, 540, 1702, 1759, 2390, 519, 8579, 5506, 540, 519, 824, 5011, 7180, 543, 3853, 269, 898, 781, 513, 7180, 2392, 5344, 593, 602, 543, 621, 781, 606, 7553, 607, 513, 19619, 540, 3114, 11443, 547, 6218, 782, 519, 1657, 563, 5415, 4277, 585, 707, 1875, 21065, 753, 910, 950, 17605, 1628, 11800, 547, 3444, 10616, 543, 8933, 798, 789, 1397, 3972, 610, 616, 789, 10437, 610, 1312, 15017, 296, 6415, 609, 7711, 333, 622, 1529, 331, 910, 3972, 568, 606, 20772, 540, 2104, 4205, 269, 1809, 594, 899, 519, 2856, 602, 938, 3929, 1062, 568, 513, 1797, 540, 10442, 543, 14379, 971, 1919, 563, 296, 9327, 1405, 1289, 20772, 1702, 267, 4849, 609, 1390, 1416, 267, 1317, 621, 781, 1152, 2625, 8494, 2065, 267, 543, 621, 6487, 602, 563, 296, 798, 899, 519, 9668, 909, 628, 1348, 540, 1685, 894, 3972, 5288, 5433, 3972, 269, 1656, 519, 2856, 602, 3972, 1522, 581, 796, 716, 539, 593, 563, 3240, 1101, 3948, 729, 811, 540, 1250, 8912, 561, 4770, 856, 693, 519, 1158, 267, 1250, 3284, 3098, 454, 8117, 594, 1796, 676, 519, 2034, 269, 798, 594, 834, 339, 6412, 257, 1142, 1268, 594, 3802, 676, 711, 547, 12777, 588, 629, 803, 538, 519, 1394, 286, 538, 519, 2631, 602, 594, 3622, 8263, 1004, 4465, 1405, 267, 2386, 563, 8117, 950, 1004, 723, 24500, 267, 3972, 4991, 811, 7294, 269, 543, 782, 1004, 723, 24500, 267, 865, 3972, 568, 3448, 543, 1950, 693, 1655, 563, 263, 296, 1810, 1405, 3972, 1082, 1004, 1360, 1454, 267, 855, 602, 781, 4440, 6654, 994, 287, 1910, 17036, 325, 1779, 661, 3944, 3267, 3972, 803, 3267, 594, 1224, 1312, 607, 971, 563, 763, 1101, 729, 5693, 11469, 2987, 19295, 2131, 538, 513, 688, 3620, 320, 26209, 1606, 518, 1190, 2631, 267, 519, 2034, 11438, 519, 1292, 8670, 281, 519, 2357, 810, 540, 3972, 568, 20729, 531, 269, 1656, 2094, 3972, 568, 606, 10137, 267, 513, 1981, 267, 606, 585, 2001, 883, 519, 7706, 540, 22293, 267, 543, 2625, 629, 531, 2065, 267, 972, 9041, 15884, 318, 581, 20729, 531, 563, 5278, 540, 519, 942, 563, 296, 10924, 267, 855, 4941, 547, 1118, 2386, 594, 729, 1373, 2312, 269, 1703, 723, 1044, 2053, 538, 1250, 1272, 602, 594, 11613, 2808, 3972, 513, 12161, 267, 543, 22508, 2299, 1346, 2053, 616, 538, 519, 2250, 269, 9745, 318, 317, 454, 287, 1910, 17036, 325, 1779, 898, 781, 1266, 25311, 13657, 593, 1250, 851, 269, 4746, 6273, 803, 547, 1413, 883, 519, 7613, 3294, 543, 519, 1018, 1315, 875, 1315, 1946, 540, 621, 563, 296, 8263, 594, 666, 1405, 2731, 917, 267, 543, 1118, 1250, 1655, 7058, 269, 594, 1810, 1405, 1589, 594, 666, 2731, 9787, 3972, 607, 513, 1523, 563, 3719, 602, 781, 7168, 1454, 3020, 540, 1169, 2460, 540, 1250, 1272, 267, 2731, 269, 2473, 291, 454, 287, 1910, 17036, 325, 1779, 1703, 781, 4440, 513, 2601, 602, 519, 1445, 540, 713, 2370, 547, 582, 10445, 568, 1250, 2078, 609, 513, 3032, 6902, 268, 994, 763, 15754, 543, 13991, 1145, 540, 2831, 568, 7429, 602, 540, 1034, 3425, 269, 14033, 2698, 543, 14955, 6463, 563, 15987, 713, 1880, 3032, 9041, 529, 318, 1634, 547, 562, 760, 950, 20714, 539, 563, 285, 9282, 713, 1880, 3032, 9041, 529, 318, 1634, 547, 562, 760, 950, 20714, 539, 563, 31819, 814, 7687, 267, 1256, 19957, 1919, 269, 9462, 502, 506, 454, 287, 1910, 17036, 325, 1779, 3733, 2324, 3069, 568, 602, 7314, 899, 547, 512, 639, 1088, 267, 543, 513, 2178, 1129, 540, 3972, 568, 2965, 950, 789, 3513, 798, 713, 2901, 609, 3908, 3441, 610, 3617, 4027, 563, 296, 4312, 606, 2025, 1350, 913, 594, 9364, 5957, 609, 513, 5449, 3032, 945, 1131, 4323, 602, 609, 882, 880, 1247, 594, 9364, 4620, 873, 609, 1250, 824, 630, 2426, 331, 3437, 264, 1688, 563, 763, 2150, 6412, 532, 3032, 2901, 3085, 1405, 4497, 630, 325, 8960, 1427, 9084, 264, 610, 6285, 538, 4250, 270, 9734, 950, 972, 781, 1100, 1350, 913, 269, 18833, 950, 596, 666, 9108, 7903, 6302, 568, 851, 540, 519, 3972, 6935, 563, 25444, 568, 10950, 607, 1279, 607, 596, 1246, 938, 3009, 540, 2932, 256, 11289, 596, 269, 631, 770, 31788, 17085, 3716, 568, 9738, 676, 2672, 329, 924, 577, 267, 20941, 269, 0, 5825, 539, 3883, 538, 6153, 16448, 281, 590, 4721, 538, 835, 1870, 1554, 256, 13242, 2835, 949, 723, 10223, 543, 5924, 896, 23164, 269, 2904, 711, 1331, 9360, 610, 1569, 9479, 269, 590, 4721, 609, 9477, 269, 16179, 1031, 9499, 543, 4688, 2724, 593, 707, 2852, 2835, 2336, 8794, 1299, 4197, 9119, 267, 476, 278, 628, 9990, 2488, 519, 2875, 513, 2143, 7650, 540, 6128, 2035, 267, 1519, 5036, 543, 966, 3317, 12222, 267, 7421, 7440, 267, 2565, 3206, 538, 4948, 1272, 267, 4485, 547, 1966, 6061, 267, 2338, 538, 519, 1483, 1158, 267, 5883, 2724, 267, 8579, 7744, 267, 7194, 543, 3800, 540, 8390, 267, 17950, 540, 5506, 267, 543, 12825, 2208, 5276, 5288, 12825, 267, 1851, 1866, 269, 901, 1837, 568, 1463, 543, 13801, 609, 9836, 1543, 2966, 547, 4497, 2221, 779, 2875, 998, 11617, 2502, 1543, 269, 1703, 568, 513, 2647, 3099, 540, 7084, 2010, 602, 948, 1053, 4487, 6128, 2035, 1299, 1628, 1483, 8996, 2324, 12588, 269, 4635, 1299, 4197, 9119, 267, 476, 278, 628, 9990, 4422, 883, 5276, 9781, 543, 12825, 9781, 267, 9781, 609, 9511, 267, 1966, 6061, 609, 9511, 267, 2979, 3901, 923, 543, 2575, 267, 543, 8167, 543, 519, 11344, 5223, 269, 589, 3184, 568, 7745, 1524, 883, 6128, 543, 6214, 269, 16179, 519, 1837, 4635, 1299, 4197, 9119, 267, 476, 278, 628, 9990, 543, 581, 8746, 538, 707, 6128, 2069, 543, 4876, 563, 302, 1233, 713, 1433, 286, 6423, 952, 3733, 1504, 322, 691, 568, 9140, 4635, 1299, 4197, 9119, 267, 476, 278, 628, 9990, 269, 590, 749, 707, 1837, 585, 6666, 269, 0, 288, 574, 281, 634, 2832, 540, 519, 1459, 1353, 729, 547, 2708, 519, 7145, 540, 5691, 4641, 30411, 593, 1928, 8226, 543, 1533, 4160, 2157, 18460, 29260, 2126, 538, 1453, 563, 29605, 543, 2409, 281, 901, 729, 606, 954, 14846, 1353, 609, 476, 1789, 1453, 540, 2085, 476, 277, 268, 1015, 1296, 3357, 547, 519, 4972, 540, 16677, 16599, 923, 543, 16473, 633, 19239, 3588, 269, 634, 6304, 729, 30411, 609, 5691, 4641, 2363, 1122, 28904, 543, 519, 6724, 2808, 2882, 1928, 8226, 9916, 1641, 1947, 676, 654, 784, 22823, 674, 3722, 2464, 1928, 12773, 4336, 543, 1843, 1947, 676, 18919, 3722, 290, 4336, 282, 4160, 729, 9916, 28772, 10999, 676, 7893, 13942, 2557, 543, 5135, 25294, 2157, 1210, 13942, 3404, 9014, 269, 634, 6724, 941, 6592, 1354, 519, 2126, 267, 1775, 4318, 1421, 15977, 267, 1282, 543, 607, 1134, 607, 1310, 519, 29260, 2126, 5650, 269, 634, 2418, 7074, 941, 9184, 4327, 543, 16271, 547, 3617, 8579, 2079, 609, 533, 1871, 1305, 693, 476, 271, 269, 4962, 563, 24342, 281, 634, 1353, 10268, 513, 1360, 1164, 8579, 4644, 538, 5786, 540, 1928, 8226, 543, 4160, 2157, 538, 782, 519, 16198, 1500, 693, 1614, 942, 5712, 267, 1775, 4318, 1421, 15977, 267, 1282, 543, 1310, 2126, 5650, 630, 335, 2999, 476, 271, 269, 1822, 272, 1916, 6962, 281, 14044, 4641, 30411, 666, 581, 2808, 607, 513, 27503, 30411, 1907, 538, 519, 26750, 540, 2623, 2359, 602, 2337, 3082, 519, 1126, 547, 5959, 1604, 543, 2111, 547, 5838, 12007, 5959, 1416, 563, 32747, 4644, 281, 19737, 606, 14221, 1126, 568, 835, 540, 519, 4101, 4247, 585, 513, 12963, 11290, 538, 519, 1554, 3562, 6377, 1272, 269, 1306, 519, 1158, 22264, 609, 18960, 7459, 267, 5691, 4641, 30411, 568, 835, 1851, 873, 602, 814, 519, 2702, 547, 2569, 1928, 8226, 543, 4160, 538, 1453, 609, 513, 2318, 1935, 563, 1692, 547, 13712, 713, 2376, 281, 681, 7776, 667, 294, 267, 32147, 1446, 681, 267, 18491, 541, 1690, 631, 267, 1696, 620, 269, 10495, 540, 661, 24351, 540, 14044, 18712, 5940, 3555, 538, 26805, 10266, 32185, 543, 17520, 538, 5753, 589, 3022, 476, 277, 268, 1015, 13012, 281, 589, 19884, 3955, 14846, 5530, 269, 2271, 808, 7885, 623, 2664, 520, 337, 19239, 476, 1001, 280, 282, 1321, 263, 277, 2567, 27944, 268, 276, 1724, 563, 21292, 281, 10263, 282, 5753, 282, 15482, 4160, 282, 3955, 14846, 1353, 282, 10266, 282, 14044, 4641, 2363, 1122, 28904, 563, 15648, 9736, 476, 1001, 280, 282, 20289, 701, 324, 29564, 6481, 23255, 630, 303, 264, 13456, 269, 0, 4002, 519, 476, 277, 628, 5147, 476, 14028, 274, 267, 3751, 11977, 17886, 540, 4789, 5747, 693, 5682, 16049, 20066, 269, 2201, 519, 476, 280, 628, 5147, 267, 21674, 681, 573, 2917, 7150, 602, 733, 11367, 547, 519, 2296, 17599, 267, 6307, 543, 10906, 941, 24648, 527, 1493, 676, 1318, 540, 4332, 269, 3973, 593, 519, 476, 1015, 628, 5147, 267, 605, 17474, 540, 519, 2669, 540, 3751, 11977, 17886, 729, 9307, 563, 3383, 945, 729, 2469, 547, 581, 519, 1985, 3751, 610, 10348, 540, 4789, 888, 299, 8014, 13191, 27578, 729, 4535, 538, 5239, 476, 14631, 278, 693, 17659, 22017, 2494, 528, 267, 2274, 1182, 1562, 10921, 547, 3237, 8361, 27578, 267, 3057, 638, 529, 667, 832, 564, 543, 1390, 1178, 2738, 517, 540, 10348, 10906, 543, 1200, 3993, 729, 25845, 15952, 517, 267, 667, 31866, 1087, 540, 22206, 13083, 563, 1103, 476, 15150, 277, 267, 1352, 9411, 5480, 1272, 607, 519, 20758, 547, 21965, 623, 1551, 267, 519, 1287, 7385, 540, 8361, 24163, 267, 693, 519, 19583, 540, 7338, 1530, 2096, 712, 267, 519, 7083, 31288, 269, 2201, 519, 476, 2641, 560, 2904, 476, 14028, 274, 267, 1352, 9310, 7083, 2871, 843, 5112, 667, 644, 2917, 267, 711, 676, 3903, 267, 855, 676, 7662, 540, 1200, 3993, 563, 763, 667, 644, 2917, 779, 941, 17557, 8821, 956, 269, 1656, 4371, 1454, 1379, 538, 5480, 267, 1813, 547, 741, 5763, 267, 25189, 998, 519, 19837, 1828, 540, 519, 3933, 2120, 625, 269, 1306, 17557, 779, 789, 21787, 267, 6307, 513, 1821, 719, 18216, 4301, 267, 1223, 1831, 11977, 779, 24288, 267, 543, 865, 621, 729, 896, 2604, 267, 1010, 786, 729, 4957, 547, 1331, 15248, 13191, 27578, 607, 1010, 17557, 25752, 563, 10955, 1189, 5747, 593, 519, 476, 277, 628, 5147, 476, 14028, 274, 267, 543, 15248, 13191, 27578, 1500, 1200, 3409, 547, 519, 2296, 17599, 267, 676, 1318, 540, 11977, 779, 786, 543, 602, 1200, 20516, 282, 6307, 570, 31122, 729, 519, 11078, 540, 8361, 24163, 563, 297, 2033, 779, 2069, 3769, 5824, 267, 5259, 267, 12355, 543, 2413, 4654, 267, 2943, 1200, 6689, 729, 13856, 676, 7453, 543, 2531, 710, 1359, 3237, 563, 27746, 10356, 1489, 689, 1200, 13794, 538, 5101, 4911, 20377, 267, 543, 519, 16099, 540, 3345, 3784, 1633, 779, 7952, 1185, 1044, 771, 6312, 3481, 547, 3247, 6307, 269, 898, 729, 24631, 267, 5646, 322, 650, 832, 543, 8821, 956, 5156, 6307, 729, 519, 1318, 995, 25752, 543, 8919, 539, 538, 1489, 540, 1200, 563, 4002, 519, 476, 2537, 6113, 5147, 267, 519, 16099, 540, 3345, 3784, 1633, 1147, 16781, 1229, 547, 6307, 693, 11062, 282, 711, 513, 6749, 540, 1973, 729, 838, 2830, 267, 585, 519, 6370, 729, 936, 1354, 621, 3323, 563, 4002, 519, 476, 274, 6113, 4864, 476, 14028, 274, 6307, 543, 1200, 13794, 9411, 5507, 282, 1352, 729, 21039, 538, 13711, 6063, 23439, 543, 2893, 514, 267, 8391, 556, 14765, 6005, 689, 519, 1004, 945, 1185, 20898, 519, 10754, 547, 26250, 1200, 2507, 741, 1007, 10348, 563, 9515, 13984, 519, 18975, 540, 5507, 267, 16089, 2797, 14586, 563, 4002, 519, 476, 279, 628, 4864, 3751, 11977, 17886, 729, 9788, 547, 1964, 693, 31689, 30745, 538, 13076, 609, 17557, 2245, 269, 2201, 519, 476, 1240, 628, 4864, 29064, 547, 1200, 5396, 602, 789, 1246, 1200, 5132, 519, 7826, 4984, 563, 763, 16099, 540, 3345, 3784, 1633, 729, 581, 20243, 593, 519, 476, 2420, 526, 4864, 607, 513, 931, 2869, 1807, 269, 2201, 519, 476, 2641, 560, 5181, 6307, 729, 7715, 2740, 10348, 6307, 540, 4789, 269, 2201, 519, 476, 1321, 628, 5988, 476, 14028, 275, 267, 15248, 13191, 15454, 543, 1200, 9393, 7083, 2871, 843, 5112, 667, 644, 2917, 941, 581, 20243, 693, 519, 18975, 540, 5507, 563, 2304, 1349, 540, 15248, 13191, 27578, 779, 3803, 1913, 693, 519, 21934, 1245, 267, 1991, 547, 1373, 581, 20243, 689, 519, 968, 2419, 1258 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 18257, 2690, 272, 269, 2843, 498, 3522, 21162, 16044, 484, 3264, 6459, 9924, 3264, 24893, 25986, 20977, 918, 15800, 715, 630, 301, 3436, 476, 271, 1040, 31560, 9924, 8563, 3264, 13150, 4138, 715, 476, 13077, 13194, 24893, 25986, 6459, 3378, 918, 269, 18257, 5897, 18257, 2690, 273, 269, 2843, 498, 31606, 14359, 21134, 21268, 28314, 19757, 3522, 630, 10528, 17201, 5284, 370, 4138, 16021, 23783, 21170, 3264, 24893, 25986, 6459, 3378, 1040, 21506, 396, 508, 10528, 16417, 9686, 3264, 20434, 31224, 17095, 17201, 4138, 10948, 3264, 13150, 8563, 3378, 18194, 4709, 3264, 13953, 11714, 16044, 491, 4344, 21134, 28314, 19757, 7846, 267, 27188, 10948, 4138, 4344, 9924, 27593, 9326, 267, 21506, 10948, 26580, 16068, 16648, 9924, 10948, 21162, 13953, 28314, 19757, 21660, 4736, 10948, 4138, 4344, 9924, 27593, 20046, 476, 18458, 18194, 4709, 3264, 13953, 267, 25602, 11714, 25986, 30718, 25974, 21162, 13953, 910, 476, 3607, 277, 18194, 4709, 3264, 13953, 23228, 29551, 25986, 30718, 25974, 21162, 9261, 11012, 10948, 4138, 25000, 20046, 31502, 28314, 19757, 267, 18194, 3264, 31124, 27569, 4138, 13953, 31502, 21660, 476, 275, 267, 30935, 15800, 4736, 7549, 6459, 19628, 10948, 23845, 27671, 476, 16021, 17153, 28314, 19757, 13833, 267, 1477, 17095, 30324, 18775, 9924, 3264, 18194, 3264, 31124, 4344, 31502, 21660, 476, 1015, 15800, 14359, 3264, 18194, 3264, 31124, 4344, 31502, 21660, 476, 6110, 18257, 1477, 288, 815, 703, 9272, 3488, 29551, 8563, 29391, 4138, 16021, 14359, 21134, 21268, 28314, 19757, 3522, 2433, 10807, 3418, 604, 589, 4939, 476, 275, 2652, 476, 271, 6769, 825, 952, 589, 4939, 476, 1911, 2652, 476, 271, 6769, 1038, 952, 589, 4939, 476, 6110, 2652, 476, 271, 6769, 2018, 1820, 3488, 396, 497, 19757, 11714, 25986, 30718, 25974, 21162, 13953, 269, 2843, 356, 25986, 6459, 3378, 18194, 4709, 3264, 13953, 11714, 28314, 19757, 7846, 476, 3607, 277, 20298, 1038, 3116, 6769, 2018, 1820, 3488, 396, 497, 19757, 14359, 3264, 11714, 25986, 30718, 25974, 21162, 13953, 269, 2843, 356, 25986, 6459, 3378, 18194, 4709, 3264, 13953, 11714, 28314, 19757, 7846, 476, 18458, 20298, 825, 3116, 6769, 1038, 1820, 3488, 396, 497, 19757, 11714, 25986, 30718, 25974, 21162, 13953, 269, 2843, 356, 25986, 6459, 3378, 18194, 4709, 3264, 13953, 11714, 28314, 19757, 7846, 476, 3607, 277, 20298, 12828, 6769, 825, 1820, 3488, 396, 497, 19757, 14359, 3264, 11714, 25986, 30718, 25974, 21162, 13953, 269, 2843, 356, 25986, 6459, 3378, 18194, 4709, 3264, 13953, 11714, 28314, 19757, 7846, 476, 18458, 10807, 0, 1029, 10461, 1029, 815, 1412, 20755, 1993, 5674, 10609, 597, 1014, 990, 7055, 258, 28605, 8193, 281, 30016, 279, 20609, 7042, 454, 5035, 19332, 912, 825, 9904, 815, 834, 9326, 19628, 397, 491, 9841, 9924, 397, 488, 27569, 20732, 10948, 20500, 17153, 32553, 7846, 4344, 4736, 4814, 10528, 32648, 9261, 6459, 7549, 13953, 4138, 13194, 21833, 397, 495, 29391, 15671, 8563, 16648, 3522, 5016, 825, 1219, 6449, 8181, 9191, 1345, 267, 1883, 2187, 1038, 1582, 11519, 523, 13892, 815, 9598, 4590, 1038, 585, 1775, 538, 2039, 12759, 4311, 269, 531, 8224, 15892, 2018, 4484, 815, 1582, 269, 531, 8224, 5157, 2639, 2018, 23876, 815, 1582, 269, 531, 8224, 27007, 328, 1341, 1883, 264, 4939, 7003, 4311, 269, 531, 8224, 22708, 2018, 1582, 11519, 523, 13892, 314, 12072, 316, 815, 23876, 454, 2018, 1582, 11519, 523, 13892, 314, 12072, 269, 21639, 3890, 316, 815, 23876, 269, 21639, 4590, 13872, 1038, 1582, 11519, 1372, 13892, 815, 9598, 4590, 1038, 585, 1775, 538, 2039, 12759, 4311, 269, 531, 8224, 15892, 2018, 4484, 815, 1582, 269, 531, 8224, 5157, 2639, 2018, 1232, 10757, 815, 1582, 269, 531, 8224, 27007, 328, 910, 1883, 264, 4939, 7003, 4311, 269, 531, 8224, 22708, 2018, 1582, 11519, 1372, 13892, 314, 12072, 316, 815, 1232, 10757, 454, 2018, 1582, 11519, 1372, 13892, 314, 12072, 269, 21639, 3890, 316, 815, 1232, 10757, 269, 21639, 10797, 825, 1219, 31391, 4311, 267, 1257, 2187, 1038, 2132, 1412, 8339, 21860, 8443, 1345, 11519, 523, 13892, 10947, 263, 10420, 267, 1347, 264, 585, 1347, 538, 1257, 20285, 825, 1219, 1232, 1712, 4311, 267, 1899, 2187, 1038, 2132, 1412, 8339, 21860, 8443, 1345, 11519, 1372, 13892, 10947, 263, 10420, 267, 1347, 264, 585, 1347, 538, 1899, 316, 9239, 4486, 815, 703, 9272, 3488, 396, 511, 397, 491, 397, 488, 9924, 20500, 9261, 397, 488, 16044, 482, 7846, 16648, 13194, 281, 262, 4297, 1948, 29551, 8563, 29391, 4138, 16021, 17095, 6459, 19628, 10948, 454, 322, 8327, 815, 19332, 31107, 994, 1467, 815, 3403, 4590, 6112, 1899, 912, 825, 1820, 6262, 8327, 19709, 13892, 263, 1467, 4917, 825, 1899, 815, 3403, 3890, 0, 1029, 10461, 1029, 815, 1412, 20755, 1993, 5674, 10609, 597, 1014, 990, 7055, 258, 28605, 8193, 281, 30016, 279, 20609, 7042, 454, 5035, 3933, 334, 531, 8224, 912, 825, 9904, 815, 834, 3522, 16648, 8563, 15671, 9686, 3264, 397, 495, 21833, 13194, 4138, 13953, 7549, 6459, 9261, 4709, 5284, 379, 4814, 13150, 7846, 32553, 17153, 20500, 10948, 20732, 27569, 397, 488, 9924, 9841, 397, 491, 19628, 9326, 5016, 825, 1219, 6449, 8181, 9191, 1345, 267, 1883, 14456, 2187, 1038, 27608, 6831, 1712, 815, 2715, 343, 281, 586, 585, 1535, 267, 586, 538, 23407, 4311, 269, 531, 8224, 267, 1883, 14456, 264, 8679, 1038, 26627, 27664, 6831, 1712, 815, 2715, 343, 269, 21639, 263, 2567, 586, 269, 21639, 3890, 585, 1535, 267, 586, 538, 23407, 4311, 269, 531, 8224, 267, 1883, 14456, 264, 8679, 1038, 1582, 11519, 523, 13892, 815, 9598, 263, 869, 27664, 6831, 1712, 994, 1038, 1582, 11519, 523, 13892, 269, 26303, 263, 6269, 27664, 6831, 1712, 2020, 1038, 27608, 318, 24927, 815, 2715, 343, 281, 586, 585, 1535, 267, 586, 538, 23407, 31107, 14456, 267, 1582, 269, 531, 8224, 264, 8679, 1038, 26627, 27664, 318, 24927, 815, 2715, 343, 269, 21639, 263, 2567, 586, 269, 21639, 3890, 585, 1535, 267, 586, 538, 23407, 31107, 14456, 267, 1582, 269, 531, 8224, 264, 8679, 1038, 1582, 11519, 1372, 13892, 815, 9598, 263, 869, 27664, 318, 24927, 994, 1038, 1582, 11519, 1372, 13892, 269, 26303, 263, 6269, 27664, 318, 24927, 2020, 825, 1219, 31391, 4311, 267, 1257, 2187, 1038, 2132, 1412, 8339, 21860, 8443, 1345, 11519, 523, 13892, 10947, 263, 10420, 267, 1347, 264, 585, 1347, 538, 1257, 20285, 825, 1219, 1232, 1712, 4311, 267, 1899, 2187, 1038, 2132, 1412, 8339, 21860, 8443, 1345, 11519, 1372, 13892, 10947, 263, 10420, 267, 1347, 264, 585, 1347, 538, 1899, 316, 9239, 258, 4486, 815, 3933, 334, 531, 8224, 269, 531, 8224, 11468, 2639, 258, 12690, 11075, 28984, 31107, 994, 4486, 815, 834, 397, 491, 9841, 18775, 9261, 27569, 9686, 4709, 13953, 15671, 9924, 10948, 9326, 4736, 19628, 20500, 3522, 21833, 20732, 16648, 4344, 10528, 8563, 397, 495, 6459, 3264, 397, 488, 7846, 13194, 17153, 7549, 32553, 4138, 4840, 322, 8327, 815, 3933, 334, 531, 8224, 31107, 994, 1467, 815, 3403, 4590, 6112, 1899, 912, 825, 1820, 6262, 8327, 19709, 13892, 263, 1467, 4917, 825, 1899, 815, 3403, 3890, 0, 5814, 5569, 454, 5228, 10070, 1104, 22388, 692, 258, 3367, 1239, 454, 5976, 1930, 3488, 907, 270, 11907, 270, 31568, 17902, 10807, 607, 3758, 912, 825, 1239, 815, 3758, 18667, 14061, 12294, 10797, 258, 17179, 18685, 454, 531, 8224, 815, 1305, 30415, 269, 30913, 328, 318, 869, 27664, 994, 24393, 815, 1412, 7055, 1721, 4484, 538, 1239, 912, 825, 952, 4484, 538, 9904, 912, 1038, 5022, 6834, 4484, 692, 258, 4032, 5022, 454, 12248, 338, 815, 22388, 263, 24393, 994, 2865, 318, 21720, 815, 12523, 269, 2865, 318, 21720, 263, 272, 25011, 271, 2639, 2745, 3488, 7197, 1455, 4484, 568, 15079, 609, 2715, 281, 323, 348, 20825, 8339, 8971, 263, 2865, 318, 21720, 314, 271, 16689, 14030, 4449, 23526, 1034, 318, 21720, 314, 272, 28413, 0, 5814, 4351, 7531, 5035, 1261, 777, 912, 825, 1948, 2855, 815, 29129, 825, 1219, 6449, 8181, 9191, 1345, 267, 2855, 2187, 1038, 1582, 269, 1551, 815, 2855, 692, 825, 1219, 2451, 4311, 267, 1775, 2187, 1038, 2132, 476, 273, 2608, 1775, 692, 825, 1219, 1318, 4311, 267, 1775, 2187, 1038, 2132, 476, 273, 2608, 1775, 1341, 476, 272, 692, 825, 1219, 3193, 318, 515, 777, 1518, 4311, 267, 2855, 267, 1775, 2187, 1038, 561, 815, 1582, 16000, 9217, 994, 1038, 678, 815, 1582, 16192, 9217, 994, 1038, 952, 561, 2999, 7003, 19906, 264, 543, 2855, 314, 331, 316, 3436, 2855, 5157, 14158, 2018, 4102, 815, 561, 454, 1038, 3116, 912, 2018, 4102, 815, 1775, 692, 1038, 952, 678, 2999, 7003, 19906, 264, 543, 2855, 314, 337, 316, 3436, 2855, 314, 331, 17999, 14158, 2018, 4102, 815, 678, 692, 1038, 952, 4102, 11203, 1775, 912, 2018, 2855, 5157, 3910, 2855, 314, 331, 17999, 316, 815, 2855, 314, 331, 17999, 3910, 2855, 5157, 2639, 2018, 1582, 27982, 318, 515, 777, 1518, 19906, 267, 4102, 2020, 825, 1219, 1295, 318, 515, 777, 1518, 4311, 267, 2855, 267, 1775, 2187, 1038, 561, 815, 1582, 16000, 9217, 994, 1038, 678, 815, 1582, 16192, 9217, 994, 1038, 952, 561, 2999, 7003, 19906, 264, 543, 2855, 314, 331, 316, 2999, 2855, 5157, 14158, 2018, 10545, 815, 561, 454, 1038, 3116, 912, 2018, 10545, 815, 1775, 692, 1038, 952, 678, 2999, 7003, 19906, 264, 543, 2855, 314, 337, 316, 2999, 2855, 314, 20791, 652, 14158, 2018, 10545, 815, 678, 692, 1038, 952, 10545, 11203, 1775, 912, 2018, 2855, 5157, 3910, 2855, 314, 20791, 652, 316, 815, 2855, 314, 20791, 652, 3910, 2855, 5157, 2639, 2018, 1582, 269, 2381, 318, 515, 777, 1518, 19906, 267, 10545, 2020, 825, 1219, 1118, 318, 515, 777, 4311, 267, 2855, 2187, 1038, 3259, 815, 7003, 19906, 264, 910, 476, 272, 454, 1038, 585, 1775, 538, 2039, 10857, 2654, 1315, 476, 273, 267, 910, 272, 267, 910, 272, 2187, 2018, 1582, 269, 2381, 318, 515, 777, 1518, 19906, 267, 1775, 2020, 825, 1219, 19467, 318, 9383, 1235, 4311, 267, 2855, 17107, 1038, 562, 815, 476, 271, 454, 1038, 585, 1592, 538, 2855, 912, 2018, 562, 6834, 7003, 17338, 2020, 1038, 23288, 453, 672, 453, 5417, 547, 24050, 630, 11133, 267, 1592, 16182, 994, 453, 672, 453, 574, 921, 618, 6584, 1807, 585, 24050, 454, 453, 825, 15981, 692, 825, 1219, 24050, 5334, 677, 4311, 267, 2855, 2187, 1038, 1582, 6230, 820, 318, 515, 777, 19906, 994, 1038, 585, 1775, 538, 2039, 12759, 19906, 264, 910, 476, 272, 267, 910, 272, 267, 910, 272, 2187, 2018, 1820, 2855, 314, 271, 2639, 2018, 2855, 314, 271, 316, 815, 2855, 5157, 2639, 2018, 2855, 815, 2855, 314, 271, 281, 328, 2639, 2018, 1582, 269, 2381, 318, 515, 777, 1518, 19906, 267, 476, 271, 2020, 1551, 815, 1496, 12690, 27110, 8987, 1015, 267, 476, 1015, 264, 585, 1775, 538, 2039, 263, 271, 267, 476, 1015, 22708, 258, 1820, 2855, 454, 258, 1118, 318, 515, 777, 19906, 994, 258, 1820, 2855, 692, 258, 2855, 815, 1496, 338, 9285, 8443, 12690, 27110, 263, 271, 267, 476, 1015, 994, 25639, 1948, 585, 1775, 538, 2039, 263, 271, 267, 4351, 27110, 263, 272, 267, 476, 276, 4297, 8079, 585, 1775, 538, 2039, 263, 271, 267, 476, 276, 264, 6540, 2745, 2855, 692, 343, 815, 1261, 777, 19906, 994, 343, 269, 515, 777, 5334, 677, 19906, 994, 2745, 1535, 269, 1551, 454, 258, 19467, 318, 9383, 1235, 19906, 994, 0, 5814, 621, 1068, 8962, 692, 5814, 11885, 607, 5286, 454, 5814, 21795, 607, 19073, 692, 18411, 27026, 513, 6908, 540, 1239, 676, 513, 2582, 2361, 454, 18257, 19638, 11907, 27133, 281, 1592, 815, 29129, 258, 2637, 4733, 513, 4627, 8913, 1255, 540, 519, 1106, 2715, 7407, 281, 1297, 267, 7329, 281, 5569, 8679, 1721, 1003, 538, 2039, 263, 1911, 2187, 825, 7329, 281, 1598, 815, 1412, 288, 262, 952, 1003, 4939, 476, 274, 2652, 476, 271, 3116, 1412, 289, 7055, 825, 1871, 281, 18743, 815, 2715, 257, 7407, 9899, 1003, 267, 834, 573, 9899, 7329, 8679, 825, 1239, 27133, 6910, 263, 7407, 2020, 258, 621, 1068, 8962, 1895, 2421, 1489, 3340, 519, 1239, 547, 581, 15044, 10756, 338, 9285, 12774, 815, 15044, 16597, 27133, 267, 1883, 815, 25754, 1535, 281, 1535, 9131, 573, 11172, 2020, 258, 3767, 649, 666, 1895, 3388, 267, 799, 2285, 606, 12055, 762, 1394, 454, 1721, 1883, 267, 1895, 538, 621, 1068, 8962, 3052, 4981, 2421, 4433, 9285, 12774, 267, 25754, 1535, 281, 1535, 9131, 573, 11172, 2187, 825, 3688, 815, 1592, 14116, 4981, 994, 825, 1820, 263, 1883, 267, 3688, 25589, 258, 1284, 666, 5641, 547, 513, 9598, 267, 855, 596, 1205, 10934, 263, 283, 11415, 285, 4486, 267, 2999, 3438, 762, 285, 11161, 994, 326, 1886 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3848, 281, 9605, 3204, 1307, 538, 16217, 597, 625, 692, 5970, 596, 2479, 4862, 540, 513, 31403, 286, 898, 781, 513, 5318, 31922, 602, 6227, 1804, 2127, 540, 3345, 3013, 269, 1809, 1705, 596, 917, 602, 3595, 4249, 513, 1713, 1909, 538, 4509, 891, 4190, 8916, 286, 8786, 267, 621, 1522, 3280, 9670, 267, 855, 11642, 616, 1898, 547, 2870, 543, 8497, 2635, 9299, 597, 625, 256, 2913, 781, 4685, 883, 713, 4241, 1158, 540, 3595, 20816, 538, 9299, 597, 625, 780, 5331, 6972, 998, 513, 18932, 267, 3039, 31403, 4904, 609, 1585, 2371, 543, 2831, 269, 22582, 267, 513, 8141, 5337, 2572, 513, 1507, 18723, 267, 799, 3533, 19082, 2066, 519, 5251, 269, 2311, 1101, 16145, 267, 596, 949, 1589, 602, 513, 30481, 899, 713, 1131, 6861, 3388, 538, 922, 2619, 269, 1717, 267, 950, 7307, 7157, 267, 3595, 666, 723, 1082, 2318, 2360, 593, 9299, 597, 625, 543, 741, 11317, 269, 901, 5402, 6417, 8781, 1184, 568, 1572, 11311, 3595, 780, 15430, 8282, 11642, 948, 2226, 3309, 2030, 2950, 676, 7303, 835, 1826, 540, 2030, 689, 2921, 936, 519, 3003, 1858, 269, 1280, 1383, 267, 789, 1832, 19211, 543, 4054, 689, 3395, 1932, 7381, 267, 3850, 811, 7943, 547, 3914, 4130, 2371, 2630, 269, 1306, 513, 1267, 267, 649, 1294, 606, 5044, 540, 7524, 5810, 267, 971, 607, 938, 12286, 2249, 2221, 910, 519, 1397, 344, 11344, 16967, 630, 306, 13521, 6210, 884, 857, 6242, 15254, 269, 14461, 3780, 1529, 320, 1040, 1452, 17681, 5835, 18742, 8853, 1310, 513, 3595, 1317, 789, 4558, 1648, 11895, 1282, 10792, 24475, 543, 946, 1346, 14425, 547, 1332, 6385, 2899, 5614, 21128, 780, 11101, 267, 3595, 2337, 22120, 5567, 1394, 883, 519, 3037, 267, 30364, 782, 2713, 7103, 1369, 519, 5117, 269, 1879, 2371, 6633, 267, 789, 5305, 4105, 6886, 2877, 585, 1007, 2208, 269, 12292, 849, 4324, 689, 713, 4783, 282, 7786, 2972, 8023, 593, 4195, 10664, 267, 1247, 5017, 1265, 12062, 1851, 519, 9241, 6738, 2371, 780, 3719, 1946, 798, 649, 991, 547, 5855, 827, 3595, 20816, 286, 4270, 267, 2067, 2621, 899, 17500, 16716, 1031, 547, 1376, 1034, 31403, 11642, 1279, 3516, 269, 4653, 267, 1480, 2238, 1404, 513, 3677, 1909, 538, 4929, 1312, 18532, 543, 23139, 1025, 30769, 269, 1677, 8190, 9299, 597, 625, 3927, 267, 9946, 1590, 1174, 875, 1419, 543, 896, 1018, 2175, 11642, 1058, 2049, 269, 1635, 4974, 3140, 3270, 543, 1699, 6937, 267, 3744, 1020, 2994, 547, 2149, 891, 3407, 9249, 1655, 780, 3080, 2629, 2460, 540, 5883, 3595, 20816, 3322, 4259, 3853, 1759, 593, 1808, 6859, 269, 1280, 3236, 267, 5726, 1235, 2832, 547, 2327, 602, 2614, 5078, 7226, 3788, 2139, 585, 4686, 2249, 899, 519, 1397, 344, 11344, 16967, 269, 1358, 960, 29367, 547, 3666, 519, 2115, 540, 1585, 2371, 543, 2831, 1247, 10893, 4220, 2404, 609, 29252, 11642, 780, 2414, 2040, 909, 267, 3595, 814, 2141, 1044, 606, 7533, 5057, 540, 9299, 597, 625, 267, 5935, 741, 2189, 1915, 543, 5009, 9265, 269, 3414, 6297, 4058, 543, 2359, 267, 3425, 666, 3136, 19713, 2470, 781, 1379, 19100, 1247, 17420, 10475, 8134, 899, 519, 1397, 344, 11344, 16967, 781, 1753, 269, 1924, 1985, 942, 596, 5873, 827, 513, 9709, 6633, 2282, 513, 31403, 267, 3314, 602, 621, 781, 1175, 1776, 1259, 649, 2811, 4543, 1832, 891, 15999, 3338, 14762, 585, 5481, 547, 2097, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3725, 11734, 15613, 585, 519, 8058, 344, 13642, 16967, 630, 306, 13521, 6210, 884, 857, 6242, 15254, 269, 14461, 3780, 1529, 320, 264, 538, 4516, 1496, 2889, 12723, 316, 1107, 476, 1001, 272, 454, 11854, 2886, 693, 11485, 2920, 454, 3725, 11734, 15613, 10022, 454, 268, 15445, 12834, 454, 268, 18401, 3171, 553, 2225, 12834, 454, 268, 476, 272, 269, 2910, 10345, 310, 2975, 15661, 10495, 6176, 454, 268, 476, 273, 269, 15661, 21073, 6176, 454, 268, 476, 274, 269, 15661, 6176, 454, 268, 476, 275, 269, 21784, 338, 454, 268, 476, 276, 269, 15510, 543, 17392, 20505, 454, 268, 476, 277, 269, 16340, 11150, 543, 4937, 22604, 547, 20821, 20505, 454, 268, 476, 278, 269, 11879, 26335, 454, 268, 476, 279, 269, 25732, 18776, 454, 268, 476, 280, 269, 15048, 593, 11059, 12697, 454, 268, 476, 1015, 269, 22108, 454, 268, 25715, 589, 281, 12186, 593, 519, 5113, 543, 4033, 15661, 454, 268, 25715, 645, 281, 4427, 20139, 11094, 681, 3471, 540, 8058, 344, 13642, 16967, 538, 519, 2136, 2276, 454, 3725, 11734, 15613, 585, 519, 8058, 344, 13642, 16967, 630, 306, 13521, 6210, 884, 857, 6242, 15254, 269, 14461, 3780, 1529, 320, 264, 538, 4516, 1496, 24165, 303, 5308, 3633, 316, 1107, 476, 1001, 272, 563, 5319, 1444, 4516, 269, 476, 1001, 272, 269, 18401, 15613, 585, 519, 8058, 344, 13642, 16967, 630, 306, 13521, 6210, 884, 857, 6242, 15254, 269, 14461, 3780, 1529, 320, 264, 538, 4516, 1496, 3682, 12723, 4940, 15661, 693, 11485, 2920, 18401, 15613, 10022, 269, 5113, 4516, 267, 31747, 269, 17488, 1341, 476, 1428, 6032, 563, 2690, 12215, 540, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 27852, 3204, 1307, 538, 16217, 597, 625, 257, 607, 851, 540, 834, 2793, 307, 13543, 1315, 23270, 338, 1299, 13206, 527, 1846, 1315, 26111, 1299, 16217, 597, 625, 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, 519, 4241, 1158, 540, 2339, 256, 4653, 267, 649, 2811, 2469, 547, 2263, 875, 3744, 946, 5904, 547, 1174, 543, 3589, 519, 2623, 540, 6878, 1500, 909, 540, 8444, 899, 5135, 543, 14806, 710, 269, 901, 1184, 2337, 721, 1020, 1007, 2326, 609, 2189, 3601, 1107, 4952, 2870, 6793, 2679, 2326, 267, 1732, 9075, 267, 610, 1256, 811, 3608, 3859, 8440, 256, 1924, 1577, 781, 4685, 883, 713, 5863, 7045, 2439, 5331, 596, 723, 1079, 10833, 4904, 609, 10477, 11084, 8204, 8444, 269, 2290, 4216, 814, 2699, 11084, 630, 2135, 4723, 264, 543, 519, 824, 835, 3568, 4544, 11084, 630, 22381, 528, 710, 1040, 12207, 2648, 11544, 891, 834, 27750, 257, 1927, 547, 1294, 1018, 4523, 950, 789, 1106, 1007, 10659, 1572, 7135, 269, 2368, 7135, 1522, 2932, 5201, 1134, 267, 1866, 949, 19542, 29116, 896, 1769, 267, 610, 930, 1223, 1831, 1360, 2182, 899, 19987, 269, 1677, 917, 741, 11580, 267, 3173, 7048, 593, 1945, 1572, 834, 323, 3748, 6198, 3069, 2437, 610, 667, 10499, 585, 2110, 780, 5263, 307, 568, 513, 6310, 1907, 1031, 547, 4766, 519, 2623, 540, 9211, 1472, 1346, 11954, 11084, 630, 520, 1682, 264, 3330, 513, 7623, 269, 5082, 6425, 616, 6263, 5536, 4478, 1142, 11046, 602, 1404, 12404, 7146, 5498, 2131, 7683, 269, 1635, 12719, 1141, 782, 891, 2370, 21792, 2828, 616, 15720, 267, 3744, 666, 4137, 856, 875, 2178, 519, 7554, 1063, 8444, 616, 267, 875, 7123, 519, 1570, 786, 581, 267, 543, 1082, 824, 3579, 1919, 256, 1809, 972, 781, 513, 6952, 910, 10503, 6475, 3350, 8308, 3340, 6061, 7294, 4834, 269, 2334, 781, 1946, 649, 991, 3532, 5904, 543, 5100, 6620, 2439, 3086, 267, 1934, 2501, 519, 1187, 851, 256, 5457, 875, 594, 5018, 4505, 827, 27300, 11084, 286, 4270, 267, 621, 7140, 856, 602, 2220, 6260, 1175, 835, 1826, 540, 3440, 609, 1776, 666, 3648, 1689, 519, 3803, 1587, 781, 4162, 269, 1280, 3236, 267, 13868, 930, 2699, 11084, 609, 4544, 3283, 2164, 538, 7135, 1634, 607, 3404, 344, 22381, 528, 1938, 269, 1452, 16921, 1419, 4159, 10578, 5122, 543, 9804, 2934, 1813, 547, 741, 6404, 9163, 269, 4475, 267, 1565, 875, 547, 18783, 741, 3527, 1210, 667, 10499, 3587, 1898, 585, 12423, 5499, 3156, 780, 2414, 798, 865, 267, 3744, 1449, 1585, 2409, 1572, 1412, 1410, 4219, 2275, 528, 21975, 30372, 9538, 6056, 540, 873, 607, 5728, 10346, 585, 7384, 6475, 4205, 1369, 513, 7623, 269, 3962, 11600, 17408, 6545, 1978, 5820, 3743, 585, 7713, 1808, 3344, 540, 6475, 2623, 269, 1717, 267, 4466, 519, 3501, 11100, 3884, 1405, 2653, 2094, 1142, 1505, 1522, 14133, 693, 17782, 1880, 3601, 1247, 17528, 693, 1866, 780, 1103, 938, 1391, 585, 519, 10700, 11600, 267, 2221, 649, 3513, 1413, 5702, 693, 1079, 9621, 10457, 3957, 9049, 273, 543, 14662, 3198, 269, 1358, 4866, 547, 513, 7121, 1572, 1412, 5471, 320, 294, 16598, 10086, 5356, 4824, 11673, 3379, 547, 4587, 2553, 269, 3776, 5692, 286, 8178, 741, 2702, 547, 9472, 7293, 267, 5907, 267, 543, 6422, 3601, 540, 562, 31106, 3309, 3404, 344, 22381, 528, 728, 5439, 269, 3414, 6297, 6514, 267, 649, 4126, 547, 10625, 9342, 543, 12755, 6456, 9944, 891, 632, 1061, 1947, 2241, 10346, 780, 3383, 31617, 909, 267, 8284, 17701, 256, 898, 781, 942, 547, 7832, 593, 713, 13858, 16939, 883, 519, 10570, 7706, 269, 8625, 267, 649, 3513, 1232, 1712, 2470, 781, 13655, 543, 17362, 519, 1259, 2509, 14262, 6639, 7760, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 10112, 31757, 5385, 2275, 528, 21975, 6198, 2773, 585, 2497, 543, 3959, 11236, 540, 3404, 344, 22381, 528, 728, 7135, 689, 1101, 3741, 454, 300, 582, 17300, 676, 519, 32134, 540, 5907, 543, 9804, 3959, 1374, 538, 10288, 21973, 543, 3404, 344, 22381, 528, 728, 7135, 267, 649, 1459, 513, 5860, 6198, 3069, 630, 5263, 307, 264, 1353, 593, 476, 866, 2326, 609, 3889, 267, 8151, 689, 2241, 547, 1950, 267, 543, 4756, 5135, 3562, 1922, 1663, 528, 710, 12753, 269, 1284, 1445, 593, 1620, 519, 6111, 540, 519, 5385, 2275, 528, 21975, 30372, 20465, 547, 667, 10499, 585, 519, 12605, 540, 7293, 267, 5907, 267, 543, 24775, 3846, 673, 3601, 693, 2185, 1114, 2157, 540, 3069, 267, 1775, 4318, 1421, 519, 2199, 5860, 19406, 630, 299, 6395, 1070, 20902, 13506, 19406, 630, 294, 16598, 1070, 13849, 294, 16598, 267, 543, 10316, 6198, 1377, 799, 2882, 8454, 540, 3169, 5385, 269, 1284, 8495, 538, 1469, 519, 13849, 294, 16598, 1599, 1023, 9049, 273, 1496, 26422, 1696, 620, 1421, 4284, 269, 4860, 269, 32731, 1421, 476, 9340, 267, 476, 11793, 25002, 630, 1001, 274, 13580, 543, 14662, 3198, 1496, 26422, 1696, 620, 1421, 4284, 269, 4860, 269, 32731, 1421, 476, 12893, 267, 476, 271, 3607, 29710, 630, 1001, 276, 264, 3910, 543, 1397, 602, 4352, 519, 13849, 31769, 2026, 1397, 2087, 5443, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 277, 281, 4197, 8836, 14740, 543, 2667, 574, 7976, 692, 5331, 596, 1175, 6410, 547, 513, 1007, 4884, 269, 1411, 2811, 9599, 827, 782, 519, 9035, 602, 24098, 596, 267, 899, 5870, 1007, 2828, 543, 3695, 707, 10450, 269, 1809, 693, 519, 1482, 942, 267, 596, 1522, 1745, 8401, 1317, 3388, 4667, 865, 1114, 910, 519, 1004, 267, 519, 1893, 267, 1256, 519, 1426, 256, 1306, 596, 2119, 547, 3514, 883, 707, 1007, 2146, 267, 596, 1376, 4657, 930, 1919, 827, 3054, 1247, 8066, 5196, 1866, 269, 901, 1184, 3322, 1312, 707, 2686, 3961, 543, 21939, 269, 2913, 781, 4685, 4514, 883, 891, 2035, 2439, 1432, 1772, 8836, 14740, 888, 10900, 14945, 7312, 2686, 3961, 568, 945, 596, 616, 1759, 593, 519, 2516, 596, 4866, 547, 543, 1871, 269, 1452, 1223, 581, 5462, 676, 3344, 971, 607, 22874, 267, 4984, 267, 5198, 267, 1893, 267, 543, 5389, 269, 898, 666, 849, 2097, 689, 4130, 2950, 899, 5026, 6887, 267, 15731, 267, 610, 2228, 17052, 269, 2659, 2686, 3961, 5546, 707, 4555, 267, 4978, 267, 2418, 267, 543, 2623, 269, 898 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 29623, 6208, 1404, 513, 2629, 1909, 538, 1620, 519, 1764, 540, 12119, 2242, 593, 11641, 28383, 269, 1306, 519, 12405, 1689, 267, 865, 798, 519, 8244, 540, 1426, 2959, 585, 10860, 269, 769, 15911, 3275, 267, 10860, 971, 607, 17605, 543, 13733, 616, 13631, 547, 24494, 3536, 543, 5613, 267, 1247, 538, 21617, 3275, 267, 789, 3343, 12062, 543, 1426, 16280, 269, 1635, 4974, 519, 8023, 6208, 540, 10860, 267, 649, 666, 1020, 2500, 2994, 547, 2061, 543, 1852, 28383, 2429, 519, 1032, 269, 4197, 875, 10860, 3082, 741, 8023, 6208, 547, 12119, 2242, 568, 1898, 538, 1821, 2358, 6098, 11641, 2359, 4566, 563, 300, 12568, 3270, 1404, 513, 2629, 1909, 538, 1620, 519, 1764, 540, 12119, 2242, 593, 11641, 28383, 269, 1306, 519, 12405, 1689, 267, 1082, 10860, 10929, 513, 9194, 1184, 547, 3343, 811, 15028, 2175, 585, 6668, 543, 12093, 269, 1280, 1383, 267, 1282, 519, 5162, 3275, 267, 1978, 10860, 949, 22109, 16280, 538, 3406, 540, 14246, 543, 1426, 2959, 269, 17957, 267, 538, 519, 4832, 267, 10860, 949, 22109, 13964, 547, 1491, 5413, 540, 10731, 1426, 2959, 543, 15028, 5210, 269, 1635, 4974, 891, 9194, 3270, 267, 3173, 543, 11641, 1852, 4648, 666, 1732, 18783, 543, 4383, 11641, 28383, 267, 6038, 10893, 741, 1764, 593, 1480, 1072, 543, 3959, 563, 25842, 540, 17897, 531, 15448, 593, 28814, 6513, 454, 22546, 4369, 540, 1114, 1852, 2409, 454, 763, 7145, 540, 1114, 1852, 2409, 538, 5883, 11641, 28383, 1282, 12119, 2242, 568, 513, 2629, 2460, 547, 2015, 269, 15316, 4485, 723, 1044, 6964, 547, 8396, 10860, 267, 971, 607, 3114, 13851, 267, 6211, 1852, 267, 543, 7471, 11641, 2359, 269, 11906, 13851, 616, 4122, 1031, 543, 723, 3254, 7525, 2164, 538, 4227, 11641, 5095, 269, 1717, 267, 741, 1279, 3856, 2360, 593, 519, 1604, 543, 1875, 2389, 13759, 7103, 6318, 4145, 269, 2201, 519, 824, 1688, 267, 6211, 1852, 2409, 267, 799, 4125, 519, 946, 540, 2067, 14763, 547, 1852, 10860, 267, 2709, 513, 811, 4264, 543, 10357, 7888, 1935, 269, 21091, 11641, 2359, 10905, 2789, 2994, 267, 1519, 2686, 2853, 267, 6211, 1852, 267, 543, 4140, 5534, 946, 540, 13851, 267, 547, 3927, 4383, 11641, 28383, 269, 1635, 6236, 519, 9342, 543, 7687, 540, 1142, 1852, 1505, 267, 11641, 2359, 3646, 666, 581, 3358, 547, 9290, 519, 1808, 2115, 543, 2591, 15054, 676, 12119, 2242, 563, 29936, 538, 11641, 1852, 1282, 1114, 12405, 454, 303, 652, 1852, 568, 513, 4101, 4305, 602, 9775, 7494, 4470, 593, 519, 4005, 269, 7756, 12405, 3142, 1114, 2591, 950, 621, 2501, 547, 7231, 609, 10860, 269, 769, 519, 5614, 267, 585, 1383, 267, 10860, 899, 17605, 543, 30412, 1831, 811, 3742, 607, 789, 3406, 585, 1426, 543, 3715, 1007, 10125, 269, 14400, 6770, 606, 2333, 538, 18151, 5095, 267, 30286, 513, 3463, 547, 1312, 3425, 543, 2831, 269, 12096, 568, 519, 942, 950, 23224, 267, 971, 607, 8983, 543, 14148, 267, 3343, 12062, 16280, 547, 9101, 519, 21617, 5210, 269, 7053, 267, 5162, 6770, 922, 1378, 1305, 540, 2591, 267, 607, 10860, 899, 15483, 30294, 543, 20151, 3343, 14246, 543, 12062, 538, 5321, 269, 4475, 267, 11641, 1852, 4648, 1590, 3082, 741, 2994, 543, 2553, 547, 3927, 4383, 28383, 2429, 519, 1032, 563, 3849, 2194, 532, 11641, 1852, 2994, 547, 12119, 2242, 454, 3849, 2194, 532, 11641, 1852, 2994, 547, 12119, 2242, 568, 2629, 538, 19086, 28383, 543, 4180, 2500, 11641, 2359, 269, 1306, 12405, 1689, 267, 1114, 10860, 1831, 811, 3742, 610, 26862, 267, 8506, 3358, 4485, 547, 2232, 741, 1808, 5615, 543, 1272, 9979, 269, 1280, 1383, 267, 1282, 519, 15911, 3275, 267, 10860, 899, 19498, 543, 13733, 8853, 267, 26089, 2799, 3646, 538, 7598, 3800, 971, 607, 1697, 3653, 2359, 543, 2834, 24422, 547, 9004, 9960, 12406, 269, 2201, 519, 824, 1688, 267, 21617, 12405, 949, 1294, 606, 27614, 540, 23224, 5275, 12062, 16280, 267, 10912, 585, 15324, 3800, 899, 27575, 7127, 2798, 543, 4259, 20637, 269, 1635, 15268, 11641, 1852, 2994, 547, 12119, 2242, 267, 21427, 543, 4213, 666, 30082, 8396, 11641, 28383, 543, 2226, 513, 11641, 6954, 1604, 2429, 519, 1032, 563, 23087, 540, 1883, 4681, 454, 763, 1353, 593, 519, 1764, 540, 12119, 2242, 593, 11641, 28383, 7000, 1896, 1883, 4681, 269, 17616, 267, 621, 729, 4767, 602, 11641, 28383, 4043, 547, 2333, 1282, 1978, 12405, 267, 971, 607, 5614, 543, 4832, 267, 950, 519, 4365, 2175, 616, 811, 20009, 585, 741, 2208, 543, 12093, 269, 19627, 267, 519, 1826, 540, 10860, 849, 9867, 609, 519, 12405, 267, 609, 930, 10860, 1373, 811, 11342, 1282, 1808, 2053, 540, 519, 1032, 269, 3958, 267, 519, 1353, 1336, 602, 519, 10335, 540, 11641, 28383, 1223, 581, 6766, 676, 2188, 899, 2837, 267, 11195, 267, 543, 8244, 540, 1426, 2959, 269, 1452, 4681, 5031, 519, 2956, 540, 1620, 519, 2078, 1063, 12119, 2242, 543, 11641, 28383, 538, 1931, 547, 1020, 2500, 11641, 1852, 2994, 543, 11574, 1761, 3441, 547, 7031, 543, 3889, 563, 3412, 4124, 585, 11641, 2359, 454, 763, 6286, 540, 12119, 2242, 593, 11641, 28383, 723, 1713, 6286, 585, 11641, 2359, 269, 1306, 519, 12405, 1689, 267, 1114, 10860, 949, 1831, 811, 11342, 610, 1447, 3742, 267, 8506, 11941, 538, 11641, 1852, 2994, 269, 1280, 1383, 267, 1282, 519, 15911, 3275, 267, 1978, 10860, 899, 19498, 543, 17605, 949, 8853, 267, 26089, 2799, 3646, 538, 18151, 1852, 543, 1884, 6604, 269, 2201, 519, 824, 1688, 267, 21617, 12405, 949, 3142, 827, 513, 6175, 538, 11641, 2534, 267, 855, 666, 849, 1291, 547, 519, 12289, 540, 23224, 5275, 12062, 16280, 269, 4475, 267, 621, 568, 2629, 585, 11641, 2359, 4648, 547, 3251, 5483, 827, 519, 12119, 3270, 540, 10860, 543, 3082, 741, 2994, 9935, 547, 3927, 8396, 28383, 563, 31306, 1382, 8846, 454, 31306, 1382, 8846, 538, 1620, 519, 1764, 540, 12119, 2242, 593, 11641, 28383, 616, 2629, 585, 3384, 2500, 543, 4264, 11641, 2359, 2994, 269, 2290, 1883, 1858, 585, 2104, 7634, 568, 519, 3310, 540, 2916, 1689, 593, 11641, 2623, 543, 2551, 6384, 269, 2060, 519, 2810, 4908, 543, 8515, 540, 3665, 4365, 2621, 267, 621, 568, 1271, 547, 2708, 875, 891, 2242, 786, 1860, 11641, 1272, 31260, 267, 3892, 3270, 267, 543, 4205, 609, 741, 2067, 14763, 269, 3958, 267, 3695, 519, 1909, 540, 8733, 2188, 267, 971, 607, 7226, 26610, 543, 6694, 2853, 267, 538, 1110, 6819, 519, 2078, 1063, 12119, 2242, 543, 11641, 28383, 666, 1683, 3407, 4030, 269, 5015, 267, 6220, 4359, 4066, 267, 971, 607, 6552, 15392, 543, 16762, 9781, 267, 666, 3986, 938, 2702, 547, 6895, 543, 9472, 11641, 17061, 538, 3210, 547, 12119, 7648, 269, 1635, 5466, 891, 1382, 10616, 267, 649, 666, 2087, 938, 1620, 540, 519, 1950, 4205, 1063, 12119, 2242, 543, 11641, 28383, 267, 3056, 547, 811, 2500, 11641, 1852, 2994, 543, 1732, 2359, 540, 6694, 543, 4683, 8134, 269, 0, 14240, 540, 12119, 10860, 454, 5353, 1783, 531, 10860, 616, 7103, 602, 723, 1272, 9979, 602, 616, 6766, 676, 519, 4657, 12405, 269, 1452, 10860, 10836, 1282, 1808, 2053, 540, 519, 1032, 543, 2014, 2042, 585, 21427, 543, 6705, 7567, 269, 1358, 666, 1331, 7786, 267, 23224, 267, 543, 824, 7068, 602, 8853, 538, 1978, 4365, 2175, 269, 4197, 519, 1272, 9979, 540, 891, 10860, 568, 1898, 585, 2500, 11641, 1852, 2994, 543, 6604, 3800, 269, 1635, 6616, 950, 543, 875, 891, 10860, 16196, 267, 3049, 267, 543, 3343, 12062, 267, 2043, 666, 1491, 14942, 3268, 547, 7413, 741, 1764, 543, 2149, 741, 5321, 543, 7031, 563, 27735, 540, 1620, 741, 1272, 9979, 454, 8139, 519, 1272, 9979, 540, 12119, 10860, 568, 2629, 585, 2500, 11641, 1852, 269, 1635, 6616, 950, 543, 875, 891, 10860, 16196, 267, 3049, 267, 543, 8853, 267, 649, 666, 1020, 6098, 2994, 547, 2061, 741, 23588, 543, 7413, 741, 1764, 593, 938, 5321, 543, 10651, 269, 3958, 267, 1620, 741, 1272, 9979, 2337, 721, 2697, 519, 1034, 7925, 5933, 540, 891, 10860, 267, 3850, 721, 547, 2936, 12905, 7459, 543, 2569, 519, 991, 585, 3114, 13851, 269, 5015, 267, 676, 26762, 519, 1272, 9979, 540, 12119, 10860, 267, 649, 666, 849, 18783, 741, 2551, 15088, 2429, 519, 1032, 267, 7175, 721, 547, 581, 14942, 538, 938, 11641, 2359, 3646, 269, 15788, 267, 11543, 1702, 827, 519, 1272, 9979, 540, 12119, 10860, 16877, 721, 547, 1118, 5483, 3664, 543, 9772, 4264, 2853, 602, 3895, 513, 11641, 6954, 1604, 563, 29619, 540, 519, 2376, 454, 1103, 519, 2376, 11331, 2048, 8139, 519, 5020, 7261, 3380, 540, 17897, 531, 623, 3949, 8730, 519, 1292, 1445, 568, 593, 3246, 513, 3102, 7650, 540, 519, 1272, 9979, 540, 1585, 12119, 10860, 269, 901, 2376, 6663, 547, 13599, 3988, 827, 519, 1114, 5933, 540, 1646, 602, 10860, 979, 998, 543, 875, 891, 5933, 1764, 741, 2623, 543, 9860, 269, 1635, 1620, 519, 1272, 9979, 540, 891, 10860, 267, 3988, 666, 2744, 3407, 4030, 883, 2500, 11641, 1852, 2994, 543, 15324, 3800, 547, 2149, 741, 5321, 543, 10651, 269, 634, 2376, 849, 8711, 519, 2956, 540, 2038, 7020, 543, 12905, 6304, 547, 7413, 519, 3441, 3361, 676, 891, 10860, 269, 15788, 267, 713, 2376, 5713, 607, 513, 3407, 4199, 585, 4896, 5275, 547, 1174, 543, 4383, 12119, 10860, 811, 3927, 563, 13349, 17897, 531, 623, 3949, 454, 15650, 540, 10860, 602, 616, 4122, 1336, 1282, 1114, 12405, 454, 7628, 1114, 12405, 267, 1585, 2010, 540, 10860, 616, 4122, 1336, 269, 769, 519, 5614, 267, 649, 1419, 7237, 10860, 971, 607, 17605, 267, 30412, 267, 543, 19498, 269, 1452, 10860, 8853, 538, 519, 15911, 4365, 543, 666, 3533, 1831, 513, 562, 7572, 766, 269, 1306, 4832, 4485, 267, 10860, 899, 13733, 267, 729, 1186, 267, 543, 10987, 1831, 811, 11342, 269, 1358, 616, 13631, 547, 519, 11606, 540, 1426, 543, 666, 581, 1336, 18388, 532, 1472, 9205, 2127, 269, 769, 519, 2887, 267, 23224, 971, 607, 8983, 543, 14148, 4043, 547, 3343, 12062, 16280, 607, 519, 4365, 3579, 338, 1524, 269, 7053, 267, 1282, 519, 5162, 3275, 267, 10860, 899, 20151, 543, 15483, 30294, 949, 2119, 547, 1265, 14246, 543, 12062, 538, 938, 5321, 269, 4197, 519, 1272, 9979, 540, 891, 12119, 10860, 666, 948, 721, 1491, 3617, 3800, 547, 2061, 28383, 543, 2149, 938, 5321, 543, 10651, 563, 15275, 2305, 543, 4162, 540, 1142, 11641, 454, 1103, 1931, 547, 3927, 4383, 12119, 10860, 267, 621, 568, 2629, 547, 723, 513, 2312, 1620, 540, 741, 8446, 543, 4162, 269, 3962, 11641, 814, 922, 1378, 2189, 1305, 540, 7592, 543, 5615, 602, 3565, 547, 922, 1272, 4783, 269, 1635, 1373, 2111, 547, 2697, 891, 10860, 543, 1174, 741, 1808, 4162, 267, 621, 3587, 4443, 547, 2936, 6098, 1852, 3800, 269, 1280, 1383, 267, 6616, 519, 2168, 5920, 543, 6208, 540, 513, 1880, 11641, 666, 948, 3313, 519, 1034, 3617, 1505, 540, 6604, 610, 16701, 1709, 269, 3958, 267, 1620, 519, 1272, 9979, 540, 12119, 10860, 666, 1683, 4030, 883, 741, 3270, 540, 2534, 2429, 519, 1032, 267, 3850, 585, 14942, 11641, 2359, 2994, 269, 4475, 267, 513, 3102, 1702, 540, 519, 8446, 543, 4162, 540, 1142, 11641, 568, 1898, 585, 3811, 11641, 1852, 543, 6604, 3646, 563, 22025, 1113, 4220, 543, 14796, 3361, 676, 891, 10860, 454, 5353, 1783, 531, 10860, 666, 10460, 1713, 4220, 543, 2014, 3573, 14796, 547, 1312, 10821, 543, 6694, 2127, 269, 1452, 10860, 267, 799, 1331, 7786, 267, 23224, 267, 543, 824, 2831, 267, 723, 519, 1761, 547, 15890, 5321, 267, 6861, 7031, 267, 543, 3262, 3676, 269, 1280, 21427, 267, 519, 4527, 540, 12119, 10860, 666, 1267, 538, 3959, 3441, 267, 12526, 540, 1426, 2959, 267, 543, 1072, 10898, 269, 769, 6694, 5468, 267, 891, 10860, 666, 1232, 1493, 7031, 267, 3056, 547, 2883, 9271, 585, 6705, 269, 898, 568, 2629, 547, 1174, 519, 1272, 9979, 540, 12119, 10860, 538, 1931, 547, 3927, 2061, 543, 11574, 519, 4220, 543, 14796, 789, 666, 2014, 563, 16908, 18888, 540, 17897, 531, 623, 3949, 454, 763, 4212, 3942, 568, 519, 1101, 3942, 538, 519, 1272, 4783, 540, 12119, 10860, 269, 4438, 713, 3942, 267, 10860, 2482, 741, 5798, 538, 1585, 6753, 267, 971, 607, 2371, 267, 3037, 267, 610, 824, 5078, 5054, 269, 634, 5798, 616, 2356, 1507, 543, 1419, 979, 29462, 676, 3425, 269, 13689, 593, 519, 2249, 267, 519, 5798, 949, 24011, 1369, 513, 1906, 2395, 610, 1896, 4374, 269, 898, 568, 1271, 547, 2697, 543, 9004, 11641, 5798, 547, 2061, 2417, 28383, 543, 3441, 547, 7031, 610, 3959, 563, 763 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10371, 1862, 263, 14403, 18045, 9984, 272, 316, 1641, 547, 4390, 815, 7167, 563, 1038, 676, 21363, 519, 9352, 23061, 563, 1038, 5221, 642, 332, 19340, 568, 10288, 676, 1871, 829, 2597, 267, 519, 17159, 700, 303, 666, 581, 12193, 3362, 676, 454, 1038, 4358, 689, 519, 1101, 835, 543, 1832, 8380, 2394, 519, 4390, 568, 5734, 563, 825, 8173, 825, 952, 7167, 2652, 476, 271, 912, 1038, 2132, 476, 271, 269, 271, 454, 825, 2698, 19368, 815, 476, 271, 269, 271, 454, 825, 585, 1775, 538, 2039, 6600, 1009, 2005, 655, 267, 6221, 18045, 2187, 1038, 952, 3688, 5157, 4940, 7076, 10922, 7167, 912, 2018, 2698, 19368, 815, 2698, 19368, 1341, 3688, 5157, 4940, 7407, 454, 2018, 7167, 815, 7167, 910, 3688, 5157, 4940, 7076, 454, 1038, 3116, 912, 2018, 2698, 19368, 815, 2698, 19368, 1341, 3688, 5157, 4940, 7407, 2608, 263, 15615, 18154, 777, 8358, 19477, 5157, 4940, 7076, 994, 2018, 2736, 454, 825, 2132, 2698, 19368, 692, 3698, 25674, 3682, 326, 22069, 591, 263, 14403, 18045, 267, 27519, 267, 3688, 2187, 825, 5727, 3752, 591, 1210, 6422, 5752, 8173, 825, 744, 815, 31460, 825, 585, 1698, 538, 2039, 263, 271, 267, 27519, 266, 272, 2187, 1038, 744, 27007, 5115, 267, 476, 271, 13580, 815, 476, 271, 692, 825, 585, 562, 538, 2039, 263, 272, 267, 6221, 18045, 266, 272, 2187, 1038, 585, 1698, 538, 2039, 263, 271, 267, 27519, 266, 272, 2187, 2018, 9337, 302, 20432, 263, 302, 267, 1698, 267, 562, 267, 3688, 2020, 258, 825, 1820, 302, 20432, 263, 302, 267, 6221, 18045, 267, 27519, 994, 825, 3977, 12774, 815, 1193, 263, 302, 27007, 22479, 13369, 267, 6221, 18045, 264, 7481, 825, 2132, 3977, 12774, 692, 3698, 9337, 302, 20432, 263, 302, 267, 26480, 267, 715, 267, 3688, 2187, 825, 5727, 1265, 744, 27007, 290, 4338, 267, 715, 13580, 1775, 4318, 267, 1210, 1152, 519, 1101, 715, 3688, 609, 5679, 2355, 871, 4390, 607, 26480, 267, 1265, 519, 6099, 1151, 14654, 542, 454, 1038, 744, 27007, 290, 4338, 267, 715, 13580, 815, 476, 271, 476, 952, 26480, 815, 476, 271, 454, 7386, 815, 744, 27007, 290, 4338, 267, 715, 268, 272, 13580, 952, 3688, 314, 301, 268, 272, 4940, 7076, 3436, 26480, 454, 7386, 815, 3193, 346, 744, 27007, 290, 4338, 267, 715, 268, 272, 264, 3910, 3688, 314, 301, 268, 272, 4940, 7407, 1341, 744, 27007, 290, 4338, 268, 19477, 314, 301, 268, 272, 4940, 7076, 267, 715, 268, 272, 22708, 825, 8173, 825, 952, 26480, 2652, 476, 271, 912, 1038, 744, 27007, 290, 4338, 267, 715, 13580, 815, 476, 271, 454, 825, 8640, 3688, 314, 301, 268, 272, 4940, 7076, 3436, 26480, 912, 1038, 744, 27007, 290, 4338, 267, 715, 13580, 815, 744, 27007, 290, 4338, 267, 715, 268, 272, 22708, 825, 3116, 912, 1038, 744, 27007, 290, 4338, 267, 715, 13580, 815, 3193, 263, 302, 27007, 290, 4338, 267, 715, 268, 272, 264, 3910, 3688, 314, 301, 268, 272, 4940, 7407, 1341, 744, 27007, 290, 4338, 268, 19477, 314, 301, 268, 272, 4940, 7076, 267, 715, 268, 272, 13580, 2020, 19399, 10310, 5992, 2971, 7462, 454, 258, 10626, 1599, 692, 3698, 1820, 302, 20432, 263, 302, 267, 14403, 18045, 267, 27519, 2187, 825, 5727, 1820, 856, 519, 522, 20432, 585, 513, 2638, 8173, 825, 2638, 17572, 815, 2638, 12949, 1341, 834, 270, 13765, 27406, 4840, 825, 535, 815, 1930, 263, 13765, 17572, 267, 1412, 342, 5073, 825, 1899, 815, 834, 265, 4840, 825, 585, 1775, 538, 2039, 263, 271, 267, 6221, 18045, 266, 272, 2187, 1038, 1899, 815, 1899, 1341, 834, 2437, 1341, 1193, 9217, 994, 825, 535, 22182, 263, 1467, 1341, 27719, 333, 5602, 825, 585, 1698, 538, 2039, 263, 271, 267, 27519, 266, 272, 2187, 1038, 1899, 815, 1193, 263, 5115, 994, 1038, 585, 1775, 538, 2039, 263, 271, 267, 6221, 18045, 1341, 476, 272, 2187, 2018, 1899, 815, 1899, 1341, 834, 2437, 1341, 1193, 263, 302, 27007, 5115, 267, 328, 264, 7481, 1038, 535, 22182, 263, 1467, 1341, 27719, 333, 5602, 825, 535, 25379, 10797, 3698, 2328, 10861, 263, 14403, 18045, 267, 4390, 267, 3688, 2187, 825, 5727, 25666, 519, 1966, 607, 606, 631, 7709, 8173, 825, 561, 335, 12803, 815, 2638, 12949, 1341, 23367, 30893, 2355, 871, 7456, 335, 7055, 825, 535, 815, 1930, 10857, 335, 12803, 267, 1412, 342, 5073, 825, 535, 22182, 2891, 16655, 4476, 14826, 5602, 825, 535, 22182, 2891, 29020, 24097, 333, 5602, 825, 524, 985, 815, 834, 4840, 825, 524, 660, 815, 476, 271, 454, 825, 585, 1775, 538, 2039, 263, 271, 267, 6221, 18045, 2187, 1038, 1535, 309, 541, 815, 834, 343, 318, 257, 266, 1598, 9217, 994, 1038, 524, 985, 815, 524, 985, 1341, 834, 1341, 834, 1341, 1193, 263, 19477, 5157, 4940, 7407, 264, 1341, 834, 834, 1341, 1535, 309, 541, 454, 1038, 524, 660, 815, 524, 660, 476, 1341, 476, 272, 454, 1038, 952, 524, 660, 4939, 476, 276, 2652, 476, 275, 912, 2018, 535, 22182, 6262, 985, 1341, 27719, 333, 5602, 2018, 524, 985, 815, 834, 4840, 2018, 524, 660, 815, 476, 271, 454, 825, 535, 22182, 6262, 985, 1341, 27719, 333, 15419, 825, 535, 22182, 2891, 20428, 1677, 14826, 5602, 825, 524, 985, 815, 834, 4840, 825, 524, 660, 815, 476, 271, 454, 825, 585, 1775, 538, 2039, 263, 271, 267, 6221, 18045, 2187, 1038, 1535, 309, 541, 815, 834, 343, 318, 257, 266, 1598, 9217, 994, 1038, 524, 985, 815, 524, 985, 1341, 834, 1341, 834, 1341, 1193, 263, 19477, 5157, 4940, 7076, 264, 1341, 834, 834, 1341, 1535, 309, 541, 454, 1038, 524, 660, 815, 524, 660, 476, 1341, 476, 272, 454, 1038, 952, 524, 660, 4939, 476, 276, 2652, 476, 275, 912, 2018, 535, 22182, 6262, 985, 1341, 27719, 333, 5602, 2018, 524, 985, 815, 834, 4840, 2018, 524, 660, 815, 476, 271, 454, 825, 535, 22182, 6262, 985, 1341, 834, 10922, 834, 1341, 1193, 263, 5115, 13369, 264, 1341, 27719, 333, 15419, 825, 535, 22182, 2891, 289, 514, 2456, 14826, 5602, 825, 585, 1775, 538, 2039, 263, 271, 267, 6221, 18045, 2187, 1038, 1535, 309, 541, 815, 834, 343, 318, 257, 266, 1598, 9217, 994, 1038, 535, 22182, 3287, 309, 541, 1341, 27719, 333, 5602, 825, 535, 22182, 2891, 17484, 5602, 825, 535, 25379, 4590, 5814, 19523, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 952, 7003, 4433, 903, 27769, 341, 264, 3436, 476, 272, 912, 1038, 3758, 9078, 6327, 815, 19523, 27769, 341, 314, 272, 4940, 29328, 4590, 1038, 3403, 12774, 18316, 815, 1930, 31526, 9078, 6327, 267, 1412, 337, 5073, 1038, 3403, 12774, 815, 1412, 8339, 21860, 9272, 12774, 18316, 18667, 6050, 15405, 1038, 3403, 12774, 18316, 25379, 4590, 1038, 1820, 4194, 318, 527, 9272, 12774, 994, 825, 3116, 912, 1038, 3758, 9078, 6327, 815, 834, 290, 281, 270, 5825, 619, 270, 16433, 22230, 665, 3701, 270, 7069, 1805, 4428, 270, 30893, 2355, 871, 7933, 1092, 270, 802, 318, 1911, 271, 318, 271, 4840, 1038, 3403, 12774, 18316, 815, 1930, 31526, 9078, 6327, 267, 1412, 337, 5073, 1038, 3403, 12774, 815, 1412, 8339, 21860, 9272, 12774, 18316, 18667, 6050, 15405, 1038, 3403, 12774, 18316, 25379, 4590, 1038, 1820, 4194, 318, 527, 9272, 12774, 994, 825, 1948, 825, 4194, 318, 527, 9272, 12774, 994, 258, 1038, 1820, 1412, 1607, 1449, 3340, 606, 3403, 3758, 269, 476, 7490, 2824, 835, 689, 519, 1239, 15682, 269, 630, 328, 4318, 269, 9226, 24626, 18258, 1547, 270, 11907, 270, 802, 318, 275, 318, 271, 264, 28847 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 972, 616, 1152, 1079, 1797, 547, 5635, 267, 519, 3230, 339, 2330, 268, 11687, 543, 519, 674, 23150, 616, 6697, 282, 519, 6935, 1063, 30654, 543, 512, 568, 2016, 676, 3230, 293, 815, 512, 317, 273, 29634, 2304, 10137, 540, 835, 17574, 30654, 568, 1079, 17574, 2079, 540, 13065, 602, 12116, 519, 3310, 540, 1079, 1114, 28547, 4830, 4632, 593, 835, 8200, 4756, 2443, 649, 786, 1413, 693, 2789, 27667, 4632, 538, 519, 13038, 4112, 534, 2218, 25159, 3848, 27477, 780, 1012, 29626, 519, 30654, 1449, 18802, 258, 692, 3198, 23701, 3096, 540, 519, 674, 21178, 520, 2065, 269, 1677, 713, 1439, 267, 606, 30654, 968, 4820, 1431, 892, 13260, 538, 707, 1239, 607, 5205, 1384, 13707, 2040, 540, 10945, 630, 4811, 306, 2567, 901, 568, 519, 2040, 540, 519, 16302, 3017, 1063, 519, 4767, 8200, 4756, 2418, 630, 1492, 3230, 344, 2330, 685, 338, 264, 543, 519, 1611, 540, 519, 3210, 4756, 630, 6577, 6838, 676, 6695, 8663, 26635, 6525, 1070, 1775, 4318, 1421, 692, 7445, 8218, 346, 3225, 566, 15857, 1422, 3667, 346, 4811, 306, 348, 815, 1422, 8999, 3709, 328, 284, 272, 8703, 333, 12917, 344, 10983, 910, 1422, 8663, 26635, 348, 8203, 273, 1422, 754, 346, 3225, 566, 265, 10592, 4811, 306, 6645, 721, 875, 1454, 8390, 972, 568, 538, 519, 8200, 4756, 1510, 2348, 1022, 824, 1344, 630, 20365, 14275, 2203, 1040, 1411, 1522, 5469, 602, 570, 7704, 568, 519, 19362, 540, 519, 3732, 13065, 630, 528, 621, 779, 4009, 268, 10174, 267, 519, 3732, 3044, 11539, 1070, 799, 596, 4121, 827, 5892, 780, 7336, 7134, 2040, 540, 10945, 630, 8577, 2567, 5681, 540, 519, 16302, 3604, 1063, 519, 10567, 3230, 344, 2330, 685, 338, 630, 6577, 6838, 676, 6695, 1002, 26635, 6525, 685, 338, 264, 543, 6695, 8663, 26635, 6525, 267, 610, 10484, 7445, 8218, 346, 3225, 566, 15857, 1422, 3667, 346, 8577, 348, 815, 1422, 8999, 3709, 328, 284, 272, 8703, 333, 348, 22570, 1002, 26635, 20731, 328, 910, 1422, 8663, 26635, 348, 8203, 273, 1422, 754, 346, 3225, 566, 265, 10592, 8577, 6645, 721, 875, 1454, 540, 519, 8390, 538, 519, 8200, 4756, 938, 4244, 630, 15035, 264, 2203, 729, 2111, 547, 2491, 676, 7893, 8390, 538, 519, 1110, 8215, 3230, 344, 2330, 2418, 630, 1492, 6695, 1002, 26635, 6525, 685, 338, 1040, 769, 522, 628, 329, 518, 1913, 267, 621, 3800, 519, 5786, 538, 10462, 602, 4386, 950, 519, 5276, 2203, 568, 1031, 547, 3589, 519, 6114, 780, 4910, 573, 783, 2040, 540, 10945, 630, 305, 7704, 2567, 5681, 540, 519, 16302, 3604, 1063, 519, 4767, 3230, 344, 2330, 685, 338, 630, 6577, 6838, 676, 3230, 344, 10983, 2330, 585, 519, 3230, 328, 3867, 628, 6525, 8343, 264, 543, 519, 10567, 6695, 1002, 26635, 6525, 267, 610, 10484, 7445, 8218, 346, 3225, 566, 15857, 1422, 3667, 23334, 7704, 348, 815, 1422, 8999, 3709, 328, 284, 272, 8703, 333, 348, 22570, 1002, 26635, 20731, 328, 910, 586, 10983, 8203, 273, 1422, 754, 346, 3225, 566, 265, 10592, 305, 7704, 6645, 721, 875, 1454, 540, 519, 8390, 538, 519, 8200, 4756, 938, 2203, 1223, 711, 2491, 269, 2334, 568, 267, 621, 779, 519, 10462, 602, 3788, 1256, 1310, 519, 5276, 2203, 568, 1031, 269, 634, 5276, 2203, 568, 2808, 547, 581, 19250, 1713, 952, 621, 666, 2272, 585, 513, 1804, 2179, 540, 13260, 538, 519, 3210, 780, 1892, 1656, 540, 1576, 267, 570, 7704, 815, 661, 7704, 1341, 681, 7704, 269, 2334, 568, 267, 519, 744, 11862, 1505, 968, 1372, 1260, 5099, 892, 519, 2698, 8390, 538, 519, 8200, 4756, 883, 606, 6045, 5057, 630, 8577, 282, 6045, 676, 519, 27667, 264, 543, 606, 32584, 610, 15895, 5057, 630, 1492, 681, 7704, 6393, 763, 18304, 540, 10945, 1031, 547, 5173, 519, 8579, 4644, 540, 519, 5276, 2203, 630, 8802, 1833, 267, 30654, 267, 3092, 264, 998, 519, 674, 1871, 616, 607, 5205, 1384, 13911, 540, 5681, 540, 8293, 4100, 630, 7704, 2020, 7704, 6726, 566, 692, 291, 1122, 4181, 540, 15213, 630, 5263, 2020, 13614, 5681, 540, 8293, 4100, 630, 5960, 306, 2020, 4811, 306, 692, 11377, 8999, 3709, 328, 284, 272, 8703, 333, 12917, 344, 10983, 910, 1422, 8663, 26635, 348, 8203, 273, 9681, 2330, 333, 268, 272, 9681, 11377, 2765, 346, 4811, 306, 2410, 333, 268, 272, 15732, 8577, 692, 11377, 8999, 3709, 328, 284, 272, 8703, 333, 348, 22570, 1002, 26635, 20731, 328, 910, 1422, 8663, 26635, 348, 8203, 273, 9681, 2330, 333, 6831, 268, 272, 9681, 11377, 2765, 346, 8577, 2410, 333, 6831, 268, 272, 15732, 11377, 8999, 3709, 328, 284, 272, 8703, 333, 348, 22570, 1002, 26635, 20731, 328, 910, 586, 10983, 8203, 273, 9681, 2330, 333, 5991, 6831, 9681, 11377, 2765, 23334, 7704, 2410, 333, 5991, 6831, 15732, 4131, 779, 2119, 547, 1118, 2631, 540, 891, 9273, 269, 17616, 267, 1317, 649, 616, 7231, 609, 5439, 1620, 519, 5232, 540, 5191, 568, 2565, 780, 2162, 26440, 4181, 540, 5191, 258, 692, 10376, 2040, 540, 10945, 814, 513, 7222, 5232, 540, 5191, 630, 5263, 264, 2404, 609, 621, 602, 3947, 519, 6399, 5681, 540, 8293, 4100, 630, 5960, 306, 264, 2443, 519, 590, 4548, 540, 8293, 4100, 5258, 676, 519, 7222, 5232, 540, 5191, 780, 1892, 634, 570, 7704, 667, 293, 568, 835, 1447, 982, 519, 1297, 540, 7422, 3230, 333, 268, 272, 21974, 901, 568, 1317, 12719, 570, 7704, 267, 2115, 6695, 8663, 586, 2330, 2073, 799, 791, 4680, 2530, 540, 835, 4110, 540, 5191, 269, 8074, 602, 631, 7704, 568, 3976, 4986, 855, 519, 3732, 13065, 780, 1892, 634, 661, 7704, 667, 293, 568, 835, 1447, 982, 519, 1297, 540, 14170, 630, 2330, 333, 6831, 2330, 264, 630, 652, 13846, 6724, 264, 538, 519, 2203, 281, 3230, 333, 6831, 268, 272, 21974, 8074, 602, 538, 519, 2013, 1141, 519, 5276, 2203, 568, 606, 30654, 267, 519, 1297, 540, 14170, 11224, 519, 1297, 540, 968, 339, 805, 906, 892, 630, 1492, 6688, 610, 2157, 538, 519, 27667, 610, 3815, 1040, 1924, 585, 1383, 267, 538, 7612, 476, 272, 267, 972, 616, 1614, 5574, 630, 335, 9438, 832, 264, 543, 4061, 1614, 14170, 630, 11377, 15883, 318, 272, 18079, 6695, 15883, 318, 273, 18079, 6695, 15883, 318, 274, 2330, 1070, 799, 1797, 602, 519, 661, 7704, 5232, 540, 5191, 972, 568, 3230, 333, 6831, 268, 272, 815, 476, 273, 29634, 1892, 634, 681, 7704, 667, 293, 568, 519, 3732, 2450, 3230, 333, 2330, 14263, 519, 1297, 540, 14170, 602, 596, 991, 547, 7447, 630, 2330, 333, 6831, 2330, 1070, 602, 568, 267, 3230, 333, 910, 562, 6831, 18079, 1317, 1142, 6059, 11664, 568, 606, 7164, 9936, 780, 2162, 634, 674, 268, 19368, 630, 528, 22472, 264, 258, 692, 763, 674, 268, 19368, 610, 674, 7304, 26559, 267, 519, 1449, 18802, 1031, 547, 6430, 2436, 519, 5276, 2203, 3514, 568, 19250, 1713, 267, 568, 519, 5223, 540, 519, 6399, 661, 7704, 547, 519, 6399, 681, 7704, 1384, 7445, 8218, 346, 3225, 566, 15857, 674, 815, 1422, 2765, 3189, 3847, 7268, 2765, 346, 8577, 2410, 333, 6831, 268, 272, 4153, 2431, 264, 7346, 3847, 7268, 2765, 23334, 7704, 2410, 333, 5991, 6831, 4153, 2431, 14587, 1422, 754, 346, 3225, 566, 265, 10592, 2252, 519, 14275, 8367, 602, 519, 1895, 1797, 616, 6537, 689, 1016, 1790, 641, 2827, 609, 519, 1482, 1611, 941, 8197, 3020, 267, 519, 1063, 31228, 13065, 630, 333, 10179, 1807, 538, 713, 674, 268, 7806, 1470, 264, 1058, 581, 2539, 982, 519, 1369, 31228, 13065, 630, 6577, 7631, 1807, 1040, 634, 14275, 8367, 568, 15653, 952, 713, 674, 7304, 26559, 568, 1804, 2443, 519, 2203, 6941, 513, 1713, 2179, 540, 13065, 267, 543, 649, 666, 9959, 602, 519, 5439, 941, 6537, 689, 5095, 609, 1114, 1611, 2418, 780, 763, 533, 17032, 568, 7229, 585, 519, 2949, 2203, 3514, 1210, 519, 674, 1673, 626, 9084, 607, 596, 4121, 1354, 267, 538, 512, 1299, 674, 4255, 780, 9827, 4063, 602, 519, 17848, 6399, 12384, 18438, 630, 305, 5960, 292, 1070, 849, 1634, 607, 519, 3044, 5470, 540, 519, 7447, 267, 568, 519, 4009, 3597, 540, 519, 6399, 681, 7704, 269, 898, 568, 519, 3044, 11539, 540, 519, 1239, 827, 519, 12430, 2203, 267, 2864, 982, 827, 519, 3732, 1611, 780, 2162, 634, 681, 2330, 317, 273, 2330, 258, 692, 763, 681, 2330, 317, 273, 18079, 849, 1572, 519, 3213, 324, 2310, 540, 10318, 1588, 267, 568, 519, 8167, 540, 2698, 5470, 630, 4811, 306, 264, 6045, 676, 519, 2203, 630, 8577, 1070, 865, 519, 5223, 661, 7704, 270, 4811, 306, 269, 2334, 568, 621, 568, 519, 8167, 540, 519, 13260, 538, 519, 3210, 602, 568, 6045, 676, 519, 19034, 2203, 269, 4595, 570, 7704, 815, 661, 7704, 1341, 681, 7704, 267, 681, 2330, 317, 273, 2330, 666, 581, 17370, 9287, 607, 630, 4811, 306, 7304, 7704, 8358, 4811, 306, 815, 476, 272, 910, 681, 7704, 270, 4811, 306, 269, 1403, 513, 2203, 814, 9985, 13352, 519, 1239, 267, 3230, 305, 3867, 273, 13157, 272, 18079, 543, 952, 621, 814, 1100, 16762, 12588, 3230, 305, 3867, 273, 13157, 271, 21974, 769, 4641, 267, 681, 2330, 317, 273, 2330, 786, 2760, 581, 4010, 476, 271, 1317, 1256, 513, 14275, 2203, 786, 2491, 930, 13065, 1175, 676, 4960, 1813, 547, 10386, 5470, 269, 8074, 602, 3230, 305, 18079, 519, 4009, 3597, 540, 681, 2330, 317, 273, 18079, 568, 519, 2789, 9756, 11664, 281, 519, 9756, 1063, 519, 4767, 2418, 630, 2330, 344, 2330, 1070, 543, 519, 10567, 2418, 630, 11377, 1002, 26635, 6525, 6393, 2971, 17797, 539, 681, 2330, 317, 273, 2330, 258, 692, 2026, 3606, 30661, 630, 663, 4061, 5276, 2203, 14170, 264, 616, 3773, 547, 513, 5276, 2203, 267, 681, 2330, 317, 273, 2330, 4679, 1256, 950, 519, 1007, 30661, 1039, 1100, 1483, 16762, 12588, 269, 634, 14661, 7304, 2330, 317, 273, 2330, 13290, 547, 2232, 713, 1966, 540, 936, 6741, 322, 2305, 610, 936, 1922, 9231, 676, 1519, 519, 5232, 540, 5191, 281, 17797, 539, 681, 2330, 317, 273, 2330, 815, 476, 272, 910, 630, 305, 7704, 270, 2330, 333, 5991, 6831, 268, 273, 2330, 19422, 4811, 306, 270, 2330, 333, 268, 272, 2330, 264, 3230, 3867, 314, 273, 316, 6525, 780, 13295, 267, 3606, 30661, 609, 2370, 28706, 12588, 786, 2333, 519, 661, 7704, 630, 663, 2569, 519, 681, 7704, 1070, 855, 789, 786, 849, 723, 2539, 681, 7704, 5232, 540, 5191, 630, 20357, 540, 519, 3606, 1297, 540, 19034, 14170, 267, 3230, 333, 6831, 2330, 685, 338, 14638, 3867, 314, 274, 316, 6525, 269, 4935, 952, 519, 3606, 30661, 723, 4057, 16762, 12588, 267, 891, 1079, 20214, 786, 22599, 1142, 824, 856, 269, 769, 824, 1913, 267, 519, 17797, 539, 681, 2330, 317, 273, 2330, 10336, 3278, 519, 1840, 540, 1007, 30661, 547, 519, 5276, 2203, 267, 865, 596, 1058, 2141, 723, 513, 1413, 693, 519, 17797, 539, 681, 2330, 317, 273, 2330, 607, 513, 22621, 2268, 540, 681, 2330, 317, 273, 29634, 1012, 1323, 1383, 30654, 258, 692, 1103, 713, 3848, 267, 649, 786, 946, 513, 1007, 10471, 540, 11646, 2450, 543, 1272, 1686, 538, 11864, 547, 2119, 856, 513, 835, 17574, 30654, 780, 2162, 634, 1239, 258, 692, 4322, 1239, 616, 3144, 689, 606, 2228, 6538, 540, 11646, 7306, 543, 513, 3370, 6538, 540, 27899, 1272, 1686, 780, 9199, 527, 1239, 585, 891, 2249, 616, 3144, 689, 281, 13643, 267, 918, 269, 661, 269, 1696, 620, 269, 630, 1220, 280, 264, 7754, 8025, 2207, 8656, 281, 513, 2249, 7400, 6538, 540, 1272, 1686, 267, 14498, 267, 543, 11585, 540, 31607, 543, 5063, 17255, 11864, 269, 17905, 476, 3445, 267, 476, 25784, 279, 1700, 25784, 279, 780, 11377, 28588, 2330, 8281, 519, 3758, 26495, 531, 10574, 27406, 689, 519, 575, 603, 889, 23789, 543, 4688, 547, 707, 4578, 15682, 630, 14738, 26487, 543, 968, 24591, 607, 892, 2507, 6393, 11377, 28588, 2330, 8073, 513, 1007, 10145, 7097, 1572, 30654, 318, 303, 2350, 10611, 543, 1039, 930, 2606, 8292, 780, 11377, 28588, 2330, 2422, 1224, 27406, 547, 4452, 519, 1239, 538, 519, 1239, 7406, 11864, 543, 1287, 1193, 543, 5758, 547, 4983, 519, 1239, 1384, 332, 2459, 1023, 26013, 1224, 27406, 3488, 907, 270, 11907, 19072, 2459, 531, 10574, 27406, 3299, 12673, 2026, 26502, 815, 570, 994, 1598, 9852, 2459, 1023, 2020, 9364, 1092, 8807, 9347, 9166, 453, 4391, 280, 2116, 269, 540, 476, 476, 280, 4632, 912, 259, 289, 30796, 2433, 16748, 530, 270, 476, 4391, 280, 2157, 834, 10907, 514, 3415, 343, 795 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14160, 19798, 16927, 311, 590, 18510, 297, 17614, 2433, 13878, 30388, 269, 6092, 12856, 269, 21480, 585, 11270, 545, 8178, 906, 543, 31909, 2750, 600, 269, 540, 29140, 692, 9898, 300, 310, 30990, 20219, 17247, 5723, 4785, 590, 8577, 12778, 268, 1001, 279, 268, 866, 14160, 19798, 16927, 311, 590, 18510, 297, 17614, 2433, 13878, 30388, 6092, 12856, 19590, 5149, 8745, 29485, 594, 715, 9331, 21612, 20219, 23727, 306, 476, 5400, 4083, 9338, 12283, 289, 6938, 476, 1704, 8633, 2910, 16704, 2562, 12442, 23817, 6865, 4953, 23802, 476, 6860, 10001, 23817, 6865, 4953, 23802, 476, 2764, 966, 631, 2894, 24746, 6938, 3582, 476, 1724, 17886, 5254, 288, 2316, 306, 23154, 692, 5415, 1344, 692, 2162, 32516, 476, 278, 570, 6020, 20315, 299, 2464, 269, 476, 278, 269, 272, 4985, 269, 476, 278, 269, 273, 5556, 745, 775, 540, 10222, 9201, 692, 6224, 22790, 476, 278, 570, 6020, 20315, 299, 2464, 476, 278, 269, 272, 4985, 1411, 723, 6594, 827, 12730, 543, 741, 1585, 3601, 538, 707, 4505, 5049, 269, 1411, 917, 602, 513, 6806, 4137, 4646, 676, 1614, 12969, 532, 3515, 568, 1572, 513, 692, 5415, 1344, 0, 1012, 4432, 2880, 15783, 6052, 6323, 1966, 692, 2304, 13412, 5614, 814, 513, 2527, 631, 815, 476, 274, 269, 5952, 4846, 543, 606, 13412, 3586, 540, 737, 815, 476, 279, 269, 10695, 715, 8276, 269, 1879, 13417, 516, 3481, 267, 519, 5614, 814, 513, 7833, 5276, 2527, 5860, 269, 634, 5614, 568, 1631, 5116, 538, 519, 7299, 2990, 543, 568, 6462, 693, 519, 2362, 1439, 267, 865, 602, 519, 5614, 21018, 1813, 547, 922, 1378, 2597, 269, 1548, 568, 519, 13412, 1761, 1648, 540, 519, 5614, 2496, 1892, 630, 601, 2880, 3196, 25116, 676, 5614, 264, 815, 674, 454, 284, 737, 343, 815, 630, 601, 2880, 3586, 540, 5614, 7565, 1372, 4146, 994, 284, 546, 308, 7933, 343, 815, 630, 1457, 29719, 540, 13412, 1761, 1648, 2020, 330, 815, 476, 1691, 265, 273, 14370, 271, 269, 736, 264, 11054, 815, 476, 10384, 715, 8276, 454, 19203, 26905, 4534, 8894, 763, 3312, 5614, 666, 581, 2938, 607, 1079, 30556, 540, 513, 5614, 13745, 538, 3126, 10484, 268, 270, 315, 270, 315, 270, 315, 270, 315, 270, 315, 270, 315, 268, 630, 14075, 5614, 267, 918, 264, 815, 910, 270, 315, 270, 315, 270, 315, 630, 821, 3368, 267, 737, 264, 1341, 1315, 315, 270, 315, 270, 315, 268, 630, 534, 1278, 3368, 267, 737, 2020, 272, 270, 298, 815, 476, 272, 31574, 266, 476, 272, 31574, 815, 476, 273, 31574, 454, 298, 815, 737, 270, 273, 454, 330, 815, 476, 273, 298, 692, 763, 918, 585, 519, 3312, 5614, 568, 476, 10384, 301, 8276, 267, 865, 519, 737, 585, 835, 3368, 568, 476, 273, 343, 476, 10384, 815, 476, 9610, 271, 301, 8276, 563, 19203, 26905, 4534, 8894, 763, 1761, 1648, 6740, 538, 835, 3368, 540, 519, 3312, 5614, 568, 1287, 692, 308, 815, 476, 272, 270, 273, 265, 330, 343, 11054, 0, 6637, 476, 274, 267, 9046, 476, 2004, 4338, 692, 2162, 5441, 8212, 692, 1556, 628, 9990, 454, 305, 599, 12107, 589, 269, 5395, 3118, 1341, 476, 272, 824, 454, 25835, 281, 476, 7818, 9873, 276, 4817, 15996, 271, 692, 6637, 454, 4089, 692, 2162, 5441, 8212, 692, 1556, 628, 9990, 454, 305, 599, 12107, 589, 269, 5395, 3118, 1341, 476, 272, 824, 454, 25835, 281, 476, 7818, 9873, 276, 4817, 15996, 271, 454, 17806, 1504, 9046, 692, 258, 25590, 809, 13687, 616, 2111, 547, 1847, 25318, 5488, 676, 17259, 856, 540, 519, 1216, 21237, 282, 713, 2623, 568, 1572, 11188, 17763, 2358, 269, 14597, 513, 13687, 10977, 538, 1869, 1216, 26357, 856, 540, 519, 1216, 609, 513, 3432, 540, 476, 277, 269, 2918, 544, 4882, 693, 606, 5086, 540, 476, 3393, 4113, 267, 521, 5661, 998, 519, 2011, 513, 3845, 700, 1354, 13059, 547, 519, 1216, 267, 543, 1287, 7669, 338, 513, 3845, 700, 14015, 693, 513, 3432, 540, 476, 274, 269, 6812, 544, 4882, 1354, 4098, 1776, 11188, 17763, 2358, 23603, 269, 14419, 519, 3328, 3432, 540, 519, 3165, 780, 2414, 3313, 454, 763, 3328, 3432, 540, 519, 3165, 780, 15008, 692, 763, 7299, 5057, 540, 519, 13687, 5889, 23717, 338, 6991, 607, 621, 3762, 1216, 568, 10484, 341, 271, 344, 284, 341, 271, 7562, 383, 492, 382, 372, 692, 2080, 10484, 341, 271, 568, 519, 3355, 6991, 692, 383, 492, 382, 372, 568, 519, 5086, 609, 799, 519, 13687, 7914, 692, 27802, 3482, 476, 277, 269, 2918, 5889, 11366, 587, 364, 332, 4882, 585, 642, 271, 543, 476, 3393, 269, 271, 13651, 4113, 585, 3331, 492, 382, 372, 16317, 341, 271, 344, 14352, 277, 269, 2918, 5889, 11366, 587, 364, 332, 4882, 264, 7562, 3393, 269, 271, 13651, 4113, 284, 275, 269, 6246, 5889, 11366, 587, 364, 332, 4882, 692, 763, 7299, 5057, 540, 519, 13687, 5889, 23717, 338, 6991, 607, 621, 7024, 547, 519, 1216, 1377, 568, 10484, 11803, 284, 5889, 24994, 685, 341, 271, 344, 284, 5889, 24994, 685, 275, 269, 6246, 5889, 11366, 587, 364, 332, 4882, 692, 763, 942, 13687, 568, 856, 540, 519, 1216, 568, 10484, 339, 272, 284, 11803, 5889, 24994, 685, 341, 271, 344, 599, 692, 2080, 10484, 11803, 568, 519, 7299, 5057, 540, 519, 6991, 692, 341, 271, 344, 568, 519, 7299, 5057, 540, 519, 3355, 6991, 692, 599, 568, 519, 7299, 10231, 692, 27802, 3482, 12882, 24994, 685, 275, 269, 6246, 5889, 11366, 587, 364, 332, 4882, 585, 642, 344, 2073, 476, 275, 269, 6246, 5889, 11366, 587, 364, 332, 4882, 585, 642, 271, 344, 543, 12882, 24994, 685, 280, 269, 3199, 5889, 11366, 587, 364, 332, 4882, 273, 585, 32318, 16317, 339, 272, 284, 5889, 24994, 685, 275, 269, 6246, 5889, 11366, 587, 364, 332, 4882, 5889, 24994, 685, 275, 269, 6246, 5889, 11366, 587, 364, 332, 4882, 5889, 24994, 685, 280, 269, 3199, 5889, 11366, 587, 364, 332, 4882, 273, 284, 271, 269, 3445, 275, 5889, 11366, 587, 364, 338, 692, 763, 3845, 24964, 23276, 1282, 713, 942, 568, 10484, 299, 284, 341, 271, 868, 272, 14352, 341, 271, 6523, 383, 492, 382, 372, 264, 339, 272, 692, 27802, 3482, 476, 277, 692, 2162, 12846, 521, 1380, 532, 856, 536, 691, 548, 2421, 2496, 13425, 856, 513, 3732, 1837, 3070, 780, 8450, 513, 3732, 3070, 692, 2971, 634, 8827, 547, 2659, 5530, 10819, 692, 289, 691, 548, 2421, 2488, 3137, 547, 5215, 540, 1837, 2042, 2854, 676, 938, 4966, 267, 1082, 609, 4359, 5232, 2439, 7476, 29035, 0, 258, 9338, 12283, 289, 6938, 692, 14006, 539, 676, 16317, 1692, 1082, 10288, 2468, 1255, 540, 1950, 2338, 5416, 14720, 22698, 264, 616, 972, 971, 602, 513, 317, 274, 1532, 14720, 317, 274, 2275, 22698, 317, 274, 8584, 616, 7787, 2338, 267, 543, 454, 320, 317, 273, 5416, 317, 275, 266, 272, 11924, 321, 317, 273, 6357, 317, 275, 266, 272, 11924, 322, 317, 273, 6262, 317, 275, 266, 272, 6661, 273, 314, 18950, 320, 317, 274, 264, 536, 15396, 18950, 321, 317, 274, 264, 322, 15396, 18950, 322, 317, 274, 264, 320, 348, 6540, 1012, 5381, 5999, 692, 272, 269, 12693, 7223, 692, 25152, 610, 7301, 476, 272, 269, 6824, 18085, 581, 2854, 607, 8918, 269, 476, 273, 269, 2067, 2338, 616, 5219, 547, 607, 10203, 2338, 269, 3369, 1961, 2338, 5161, 540, 10203, 2338, 269, 3369, 1961, 2338, 2874, 540, 10203, 2338, 607, 1134, 607, 519, 1297, 476, 271, 476, 274, 269, 954, 7970, 2560, 692, 11243, 519, 1305, 4433, 264, 540, 2338, 547, 799, 476, 272, 269, 6924, 12851, 269, 513, 269, 7787, 2338, 536, 269, 2067, 2338, 267, 2898, 2338, 267, 9981, 267, 7787, 2338, 524, 269, 7787, 2338, 267, 19450, 2338, 546, 269, 9039, 540, 519, 1657, 1250, 2626, 513, 264, 16884, 2338, 454, 274, 269, 12693, 4569, 692, 26368, 782, 5036, 547, 799, 519, 1297, 476, 274, 12851, 589, 269, 19940, 2338, 267, 9981, 267, 7787, 2338, 645, 269, 21929, 2338, 595, 269, 6715, 619, 267, 7787, 2338, 667, 269, 4634, 2338, 267, 2898, 2338, 267, 9981, 267, 7787, 2338, 594, 8946, 2562, 298, 8668, 24202, 589, 454, 275, 269, 12693, 9338, 12283, 289, 6938, 692, 1692, 1082, 10288, 2468, 1255, 540, 1950, 2338, 5416, 14720, 22698, 264, 616, 972, 971, 602, 513, 317, 274, 1532, 14720, 317, 274, 2275, 22698, 317, 274, 8584, 616, 7787, 2338, 267, 543, 513, 317, 273, 5416, 317, 275, 266, 272, 11924, 321, 317, 273, 6357, 317, 275, 266, 272, 11924, 322, 317, 273, 6262, 317, 275, 266, 272, 6661, 273, 314, 18950, 320, 317, 274, 264, 536, 15396, 18950, 321, 317, 274, 264, 322, 15396, 18950, 322, 317, 274, 264, 320, 348, 2639, 276, 269, 12693, 7223, 267, 2979, 692, 1692, 1082, 10288, 2468, 1255, 540, 1950, 2338, 5416, 14720, 22698, 264, 616, 972, 971, 602, 513, 317, 274, 268, 536, 14720, 317, 274, 2275, 22698, 317, 274, 8584, 616, 7787, 2338, 267, 543, 513, 317, 273, 5416, 317, 275, 266, 272, 11924, 321, 317, 273, 6357, 317, 275, 266, 272, 11924, 322, 317, 273, 6262, 317, 275, 266, 272, 6661, 273, 314, 18950, 320, 317, 274, 264, 536, 15396, 18950, 321, 317, 274, 264, 322, 15396, 18950, 322, 317, 274, 264, 320, 348, 2639, 277, 269, 12693, 2979, 692, 1692, 1082, 10288, 2468, 1255, 540, 1950, 2338, 5416, 14720, 22698, 264, 616, 972, 971, 602, 513, 317, 274, 268, 536, 14720, 317, 274, 2275, 22698, 317, 274, 8584, 616, 7787, 2338, 267, 543, 513, 317, 273, 5416, 317, 275, 266, 272, 11924, 321, 317, 273, 6357, 317, 275, 266, 272, 11924, 322, 317, 273, 6262, 317, 275, 266, 272, 6661, 273, 314, 18950, 320, 317, 274, 264, 536, 15396, 18950, 321, 317, 274, 264, 322, 15396, 18950, 322, 317, 274, 264, 320, 348, 2639, 278, 269, 12693, 2979, 692, 1692, 1082, 10288, 2468, 1255, 540, 1950, 2338, 5416, 14720, 22698, 264, 616, 972, 971, 602, 513, 317, 274, 268, 536, 14720, 317, 274, 2275, 22698, 317, 274, 8584, 616, 7787, 2338, 267, 543, 513, 317, 273, 5416, 317, 275, 266, 272, 11924, 321, 317, 273, 6357, 317, 275, 266, 272, 11924, 322, 317, 273, 6262, 317, 275, 266, 272, 6661, 273, 314, 18950, 320, 317, 274, 264, 536, 15396, 18950, 321, 317, 274, 264, 322, 15396, 18950, 322, 317, 274, 264, 320, 348, 2639, 279, 269, 12693, 2979, 692, 7617, 3948, 568, 3020, 286, 589, 269, 2353, 19450, 2338, 616, 849, 7787, 2338, 269, 645, 269, 21009, 540, 519, 19450, 2338, 616, 849, 7787, 2338, 269, 595, 269, 2290, 21017, 540, 519, 19450, 2338, 616, 849, 7787, 2338, 667, 269, 7054, 16884, 2338, 3112, 454, 280, 269, 12693, 10789, 692, 2414, 799, 15410, 540, 1483, 2338, 1281, 519, 1739, 1297, 4866, 888, 1015, 269, 12693, 2776, 17038, 5040, 692, 306, 8205, 568, 2870, 513, 3308, 6516, 547, 1397, 519, 2078, 1063, 7787, 2338, 543, 2898, 2338, 269, 2701, 14405, 621, 547, 1397, 602, 930, 2898, 2338, 616, 7787, 2338, 543, 930, 616, 711, 269, 1772, 713, 2953, 2496, 5415, 5381, 5999, 0, 9943, 692, 10574, 692, 258, 5999, 689, 7305, 879, 9751, 281, 16448, 531, 2480, 2100, 593, 7305, 879, 6726, 725, 692, 5978, 26133, 7305, 879, 21541, 619, 616, 4280, 513, 16221, 540, 2055, 1142, 1554, 269, 769, 713, 3126, 267, 789, 2671, 930, 4267, 780, 2080, 779, 513, 2243, 602, 3357, 856, 540, 513, 1362, 689, 835, 540, 938, 824, 30157, 1384, 2108, 22923, 6499, 513, 4881, 2040, 547, 1964, 691, 1169, 942, 519, 1871, 12772, 547, 4642, 14325, 1692, 1360, 4277, 1107, 513, 3349, 9819, 609, 513, 19585, 9165, 269, 2913, 779, 10994, 713, 1966, 780, 1012, 2480, 2100, 1299, 667, 3925, 692, 5575, 267, 1577, 779, 798, 513, 2656, 2689, 540, 9165, 543, 4287, 269, 2480, 2100, 568, 875, 596, 15652, 519, 2418, 538, 707, 5750, 585, 10014, 538, 519, 3349, 9819, 269, 2480, 2100, 814, 1614, 1114, 2418, 281, 3349, 267, 533, 2033, 543, 1591, 269, 623, 2033, 568, 1152, 2139, 950, 972, 616, 29005, 7516, 269, 769, 519, 2013, 540, 2789, 6106, 540, 29005, 7516, 267, 519, 9165, 540, 533, 2033, 10039, 1152, 547, 519, 2063, 29005, 10155, 780, 1103, 1840, 547, 9165, 267, 649, 849, 723, 4287, 269, 667, 3925, 568, 875, 519, 15652, 568, 9619, 269, 1684, 649, 979, 1524, 519, 9165, 610, 2066, 519, 9165, 286, 2107, 538, 519, 2013, 540, 3768, 18249, 267, 798, 649, 2015, 782, 2418, 538, 519, 9165, 269, 1703 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17261, 1588, 568, 519, 1655, 1259, 547, 2061, 782, 540, 519, 2081, 602, 17537, 645, 568, 10299, 269, 4658, 609, 7486, 945, 798, 711, 723, 3742, 670, 29669, 3968, 1058, 581, 18764, 1996, 621, 269, 769, 1840, 547, 519, 476, 274, 1673, 846, 3126, 540, 17537, 645, 6669, 2016, 936, 476, 277, 3275, 267, 607, 540, 476, 1001, 278, 267, 972, 568, 513, 476, 273, 1673, 846, 3126, 2016, 936, 476, 272, 3923, 563, 295, 788, 22807, 595, 281, 3143, 6669, 6818, 585, 670, 20302, 543, 1100, 2500, 840, 268, 610, 2022, 1410, 17068, 605, 29091, 9471, 568, 2139, 269, 634, 1655, 1259, 547, 2061, 17537, 595, 3968, 568, 547, 2760, 7630, 5061, 610, 547, 3247, 7630, 532, 5061, 676, 3478, 883, 543, 9363, 538, 3075, 2126, 269, 1403, 596, 3136, 7630, 532, 5061, 267, 2141, 946, 1007, 267, 25062, 19271, 610, 861, 2590, 525, 267, 543, 2760, 19074, 610, 2671, 19271, 610, 861, 2590, 525, 267, 1216, 267, 610, 824, 3075, 7041, 3937, 563, 5649, 4746, 281, 15486, 2986, 22031, 22807, 595, 28298, 454, 1432, 1772, 22031, 22807, 667, 454, 295, 788, 22807, 667, 267, 849, 5219, 547, 607, 519, 18232, 17537, 267, 568, 606, 3968, 3361, 676, 519, 17537, 667, 3644, 269, 18647, 17537, 568, 606, 18106, 3644, 602, 5673, 593, 519, 17537, 645, 3644, 547, 21613, 543, 3262, 269, 901, 4386, 1152, 538, 1004, 4299, 676, 519, 17537, 645, 3644, 269, 1677, 2061, 18232, 17537, 267, 596, 991, 547, 1491, 519, 17537, 645, 6669, 563, 9827, 6744, 281, 22031, 22807, 589, 645, 595, 16338, 454, 1692, 6496, 898, 18748, 634, 10610, 454, 763, 29164, 1974, 585, 17537, 645, 666, 2039, 689, 1547, 1717, 267, 711, 3025, 945, 814, 8650, 17537, 645, 786, 1995, 2589, 563, 10666, 476, 4817, 2600, 540, 4079, 4625, 9156, 689, 17537, 645, 269, 1717, 267, 17537, 645, 666, 849, 1831, 5312, 563, 763, 1981, 540, 5312, 17537, 645, 568, 6574, 538, 1346, 945, 941, 6534, 547, 670, 29669, 607, 1762, 1453, 269, 3509, 1004, 609, 5312, 17537, 645, 21645, 723, 2589, 2394, 1713, 6797, 3441, 814, 7018, 563, 1103, 930, 1004, 627, 913, 1185, 17537, 645, 267, 519, 3644, 666, 2746, 10675, 2663, 593, 269, 1879, 713, 4523, 267, 2589, 543, 6797, 3441, 949, 2049, 269, 4658, 609, 513, 18604, 4761, 1062, 543, 1346, 1373, 5701, 585, 17537, 595, 616, 693, 513, 2362, 1981, 585, 670, 29669, 2746, 10474, 563, 10673, 1406, 7323, 281, 1548, 1772, 13242, 1677, 6164, 22031, 22807, 595, 454, 3674, 1703, 589, 25334, 2225, 2986, 3213, 26529, 454, 13828, 17537, 645, 543, 595, 666, 581, 1459, 693, 519, 1482, 942, 269, 22031, 22807, 595, 949, 1831, 811, 8789, 267, 4227, 17537, 645, 2157, 538, 519, 18072, 547, 1970, 610, 32373, 762, 2157, 563, 26212, 547, 4358, 17537, 595, 2126, 267, 1004, 1058, 723, 741, 1973, 7318, 585, 17537, 645, 1210, 519, 1614, 12268, 1973, 1449, 1547, 4340, 547, 519, 1977, 5948, 585, 519, 5530, 540, 20506, 15302, 2126, 4808, 267, 1004, 945, 616, 4867, 7783, 609, 17537, 645, 610, 945, 723, 16626, 689, 513, 3105, 3968, 1058, 581, 7307, 5402, 547, 2057, 5906, 6173, 725, 538, 6797, 11476, 602, 666, 1291, 547, 6797, 5821, 563, 295, 29764, 5164, 531, 20509, 10318, 1588, 454, 18449, 309, 10194, 4452, 729, 3067, 1881, 676, 538, 27440, 1483, 6066, 19738, 13389, 519, 24721, 476, 276, 772, 15045, 3148, 269, 16684, 569, 267, 519, 476, 1839, 561, 5114, 3575, 8659, 19248, 336, 2006, 16258, 11628, 4487, 3575, 2073, 476, 7742, 562, 300, 19248, 336, 2006, 674, 4456, 20081, 4456, 6938, 16785, 670, 20302, 304, 272, 14011, 304, 476, 276, 6363, 4456, 4211, 290, 6311, 6717, 290, 31769, 294, 8980, 8980, 6717, 2969, 8980, 307, 31769, 12839, 6874, 4456, 6938, 268, 274, 267, 476, 12010, 562, 300, 1142, 540, 538, 27440, 2966, 4464, 670, 20302, 304, 272, 293, 476, 276, 5025, 24774, 28566, 6311, 8980, 6717, 2969, 294, 24774, 28566, 268, 274, 543, 9258, 670, 20302, 304, 272, 305, 476, 276, 268, 2969, 307, 6717, 294, 28566, 28566, 3722, 12839, 3722, 290, 294, 28566, 268, 274, 2215, 619, 267, 543, 476, 273, 561, 1142, 540, 1634, 670, 20302, 24308, 267, 670, 20302, 25698, 1583, 320, 267, 19738, 3446, 1216, 610, 670, 20302, 524, 19091, 607, 10959, 563, 4467, 921, 29232, 5027, 729, 28659, 538, 519, 12713, 7304, 611, 18435, 311, 9834, 1483, 6066, 1062, 1210, 519, 1739, 15203, 4259, 281, 606, 3355, 4783, 693, 476, 2004, 11019, 290, 585, 476, 273, 1295, 543, 476, 4817, 11019, 290, 585, 476, 736, 521, 4553, 676, 476, 2412, 9979, 693, 476, 4817, 11019, 290, 585, 476, 274, 521, 543, 476, 2568, 11019, 290, 585, 476, 1789, 521, 269, 3600, 668, 564, 3700, 670, 20302, 4400, 6513, 729, 3769, 607, 513, 2318, 1852, 269, 634, 1483, 6066, 19738, 729, 5340, 538, 26134, 269, 5395, 658, 8920, 1903, 540, 519, 9842, 13232, 5027, 17683, 2407, 27480, 670, 20302, 29294, 476, 272, 320, 11646, 941, 1031, 538, 2468, 12393, 547, 5352, 519, 3044, 7455, 269, 634, 6422, 2039, 540, 670, 20302, 1483, 6066, 19738, 729, 6059, 547, 581, 476, 272, 269, 10436, 9943, 9818, 272, 269, 10436, 9943, 6200, 273, 594, 308, 270, 6447, 563, 2791, 2904, 6145, 281, 22031, 1738, 22911, 5253, 1280, 19949, 454, 1432, 3657, 634, 32192, 1280, 22031, 22807, 454, 21675, 585, 17537, 5673, 593, 799, 1826, 596, 723, 543, 2436, 621, 568, 8650, 610, 5312, 269, 26590, 10194, 17537, 1419, 4422, 2476, 593, 922, 1378, 269, 1677, 1745, 1732, 267, 596, 949, 1175, 991, 547, 1964, 543, 1205, 2614, 12862, 269, 1809, 538, 930, 2665, 267, 621, 949, 581, 811, 3978, 269, 1411, 1522, 1256, 991, 2126, 538, 513, 6413, 563, 2467, 616, 1114, 11955, 547, 1521, 519, 1114, 5312, 2010, 540, 17537, 269, 25792, 824, 5574, 949, 1331, 6391, 543, 824, 2564, 5773, 269, 4658, 945, 723, 23931, 17537, 991, 547, 3247, 6704, 269, 1403, 707, 5312, 17537, 5012, 547, 6797, 5821, 610, 6797, 2860, 267, 596, 949, 991, 513, 6797, 13003, 563, 295, 788, 22807, 645, 281, 1215, 6496, 898, 24619, 454, 2791, 666, 1205, 621, 998, 3346, 609, 519, 1973, 610, 1560, 12862, 540, 606, 7783, 1268, 269, 769, 519, 772, 2529, 1421, 621, 779, 1034, 1419, 3262, 998, 796, 31695, 3023, 269, 898, 779, 849, 2009, 547, 1205, 17537, 645, 676, 4687, 606, 7783, 1268, 779, 19271, 267, 986, 345, 832, 267, 610, 28750, 269, 1656, 606, 7783, 3993, 666, 1780, 519, 3644, 547, 741, 4816, 1282, 27638, 269, 22031, 22807, 645, 568, 711, 3262, 676, 554, 19982, 267, 4687, 1426, 267, 610, 23472, 563, 5649, 4746, 281, 2052, 22031, 22807, 645, 2142, 3690, 4784, 3414, 31687, 520, 454, 303, 23035, 2201, 22031, 22807, 595, 454, 295, 788, 22807, 595, 568, 10355, 5293, 593, 1282, 3023, 899, 17537, 589, 543, 645, 616, 267, 855, 568, 2356, 3262, 998, 1973, 3562, 15918, 797, 3346, 267, 799, 666, 1331, 4687, 19271, 563, 2467, 568, 1100, 12046, 547, 17537, 595, 267, 543, 621, 568, 2009, 547, 1205, 621, 1586, 267, 1256, 952, 3105, 5563, 723, 23498, 269, 1403, 2451, 15860, 267, 17537, 595, 666, 581, 14603, 269, 22031, 22807, 595, 666, 849, 581, 5312, 267, 2495, 621, 3762, 1279, 3856, 2360, 269, 769, 1360, 3978, 2665, 267, 621, 666, 1291, 547, 6797, 5821, 610, 6797, 2860, 563, 2252, 596, 723, 4145, 827, 2009, 17537, 267, 596, 1058, 5077, 707, 13382, 610, 513, 4638, 1072, 3318, 563, 2791, 666, 849, 1265, 5796, 2630, 267, 609, 7270, 16046, 547, 1489, 2516, 538, 1585, 2127, 912, 1692, 3657, 22031, 22807, 589, 645, 1656, 595, 7756, 454, 2467, 616, 5111, 476, 6110, 2929, 1004, 538, 519, 1158, 945, 723, 1044, 8995, 609, 835, 1106, 540, 17537, 563, 10666, 476, 272, 269, 275, 2929, 1004, 5884, 689, 713, 2068, 12422, 267, 543, 1018, 568, 1034, 9670, 568, 519, 1249, 602, 4966, 7447, 602, 607, 1082, 607, 476, 4817, 260, 540, 1004, 945, 723, 17537, 798, 711, 917, 827, 713, 2068, 563, 29381, 15860, 267, 17537, 267, 538, 835, 1106, 610, 1776, 267, 666, 2014, 8628, 6797, 3441, 269, 1284, 1590, 581, 3222, 602, 2550, 609, 17537, 2356, 723, 7646, 610, 1100, 2589, 693, 782, 563, 268, 4658, 609, 11506, 9338, 307, 2157, 454, 268, 5606, 1218, 4535, 547, 670, 29669, 29795, 539, 11299, 454, 24922, 15565, 17537, 595, 4152, 585, 912, 268, 2353, 4079, 9907, 476, 1240, 1296, 543, 4587, 454, 268, 2353, 9176, 2021, 1282, 1142, 6379, 454, 268, 6168, 476, 2190, 267, 12010, 1007, 5563, 1142, 1032, 454, 268, 6168, 476, 2420, 267, 7785, 1007, 5563, 538, 476, 1001, 279, 454, 268, 6480, 13846, 476, 279, 7830, 267, 1822, 1004, 2713, 609, 17537, 645, 454, 268, 6168, 476, 2004, 267, 4968, 1007, 5563, 538, 476, 1001, 279, 454, 268, 6480, 13846, 476, 273, 269, 275, 2929, 1004, 2713, 609, 17537, 595, 454, 2791, 2904, 6145, 281, 3657, 1703, 595, 999, 1280, 22031, 22807, 454, 6701, 22031, 22807, 645, 1656, 595, 16473, 762, 454, 295, 788, 22807, 645, 568, 513, 6669, 1790, 516, 1203, 762, 2068, 563, 2467, 568, 513, 1614, 6879, 582, 12674, 3126, 602, 568, 1360, 2500, 538, 7863, 1004, 1996, 519, 3644, 952, 789, 516, 6534, 269, 769, 519, 2136, 2276, 267, 782, 29507, 616, 18764, 585, 17537, 645, 543, 782, 9176, 2021, 616, 29971, 585, 17537, 645, 1282, 6379, 269, 901, 1259, 267, 11299, 7783, 609, 17537, 645, 666, 1491, 8825, 3268, 547, 6175, 519, 1981, 540, 6771, 540, 519, 3644, 547, 519, 1126, 563, 2467, 568, 1100, 6669, 585, 17537, 595, 563, 295, 29764, 5395, 641, 516, 28700, 1656, 681, 3534, 454, 763, 670, 20302, 1583, 641, 516, 28700, 538, 519, 1353, 729, 476, 1704, 260, 1547, 2986, 519, 476, 11152, 4550, 6953, 20302, 2318, 2550, 267, 476, 273, 941, 670, 24871, 13070, 25698, 267, 670, 29669, 270, 18449, 309, 1071, 29795, 539, 269, 634, 6967, 476, 11011, 670, 24871, 13070, 24308, 5439, 540, 799, 476, 279, 941, 1336, 547, 581, 670, 29669, 5027, 25698, 543, 4061, 17537, 595, 609, 1624, 738, 670, 29669, 3968, 1547, 2549, 680, 2305, 540, 519, 476, 276, 772, 15045, 543, 519, 22085, 276, 289, 3148, 729, 5340, 593, 476, 11152, 4550, 6953, 20302, 25698, 1583, 320, 269, 589, 2698, 540, 476, 7830, 270, 11152, 5439, 941, 2318, 538, 519, 476, 276, 7473, 305, 3148, 543, 476, 5655, 538, 519, 22085, 276, 289, 3148, 267, 609, 1152, 476, 1789, 269, 272, 260, 540, 519, 5439, 1373, 2318, 538, 1312, 4525, 269, 634, 670, 20302, 10717, 25698, 642, 790, 6193, 2557, 729, 476, 1321, 269, 277, 260, 2073, 19738, 25698, 538, 835, 610, 1312, 4525, 563, 2791, 2904, 6145, 281, 10791, 4643, 1280, 22031, 22807, 21111, 454, 1692, 1684, 1411, 5192, 22031, 22807, 595, 454, 295, 788, 22807, 595, 666, 581, 26438, 1152, 998, 1463, 1973, 3346, 269, 769, 519, 772, 2529, 1421, 519, 3119, 7154, 540, 6771, 568, 1973, 4598, 998, 4687, 19271, 269, 12624, 3562, 30512, 6771, 568, 827, 476, 276, 2600, 540, 2665, 269, 22031, 22807, 595, 3968, 1522, 849, 581, 513, 1981, 585, 1004, 945, 4607, 513, 1973, 13816, 4288, 610, 606, 1418, 13003, 1354, 476, 1960, 273, 267, 950, 7839, 4152, 540, 519, 1973, 3761, 585, 17537, 595, 3459, 563, 2252, 594, 5620, 22031, 22807, 1215, 2052, 594, 3680, 29179, 898, 1677, 25126, 22527, 454, 2690, 17537, 589, 267, 835, 540, 519, 1655, 1919, 596, 666, 798, 568, 11547, 707, 3946, 513, 2603, 269, 2334, 786, 1832, 519, 3644, 856, 540, 1426, 543, 10425, 563, 2252, 596, 723, 17537, 645, 543, 595, 267, 596, 991, 547, 1265, 2081, 547, 1832, 1866, 689, 1818, 3346, 609, 707, 1973, 269, 7427, 891, 4388, 912, 268, 15147, 707, 11912, 610, 28338, 563, 268, 28392, 12235, 2476, 1031, 6512, 1137, 267, 8031, 267, 512, 2086, 976, 267, 543, 7254, 3202, 23040, 9469, 563, 268, 5213, 5889, 339, 2671, 707, 986, 345, 528, 267, 17970, 804, 26802, 267, 610, 28750, 563, 268, 1403, 707, 1973, 4991, 593, 3615, 267, 2973, 873, 609, 7622, 6926, 778, 543, 1216, 563, 268, 5213, 5889, 339, 6089, 12890, 952, 707, 562, 31454, 616, 29618, 610, 11702, 563, 268, 5213, 5889, 339, 24946, 1973, 267, 8219, 267, 610, 14203, 563, 268, 1403, 596, 7630, 5061, 267, 1810, 5889, 339, 2671, 19271, 610, 824, 3937, 563, 5649, 4746, 281, 2052, 1411, 5192, 22031, 22807, 595, 454, 763, 589, 645, 595, 338, 2986, 22031, 22807, 454, 763, 17537, 589, 3644, 3123, 8650, 6553, 540, 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 ]
[ 3557, 6608, 849, 7119, 538, 3246, 2200, 543, 2640, 3358, 547, 4108, 3885, 267, 9301, 741, 2189, 7418, 543, 24279, 780, 15563, 267, 18758, 3906, 543, 1347, 885, 13822, 4105, 3334, 540, 1489, 5121, 585, 4108, 3885, 269, 1452, 9988, 2709, 3309, 2533, 8151, 689, 16351, 2238, 585, 1453, 547, 7694, 6351, 585, 838, 11817, 28006, 1394, 883, 19742, 1272, 269, 25408, 267, 930, 3872, 5238, 12840, 609, 891, 3906, 547, 9886, 25689, 267, 24875, 3649, 1392, 267, 543, 824, 3029, 540, 2883, 5351, 547, 948, 8897, 519, 24675, 5185, 676, 4108, 3885, 13197, 2022, 16149, 776, 5232, 630, 5746, 2464, 267, 476, 1001, 279, 1040, 6270, 12352, 12013, 1518, 519, 1379, 540, 7104, 2962, 538, 2870, 6209, 3255, 543, 2318, 5222, 585, 1346, 4299, 676, 4108, 3028, 780, 2026, 2486, 5170, 21679, 609, 519, 1950, 2152, 4478, 2413, 13137, 543, 922, 4539, 267, 621, 3587, 5051, 1271, 547, 2232, 519, 2115, 540, 4108, 3885, 18113, 269, 3414, 15834, 15377, 267, 6098, 27877, 2866, 267, 5483, 13422, 1136, 267, 543, 7722, 24960, 344, 267, 649, 666, 2253, 14335, 4396, 13210, 2390, 799, 891, 3885, 666, 8853, 9624, 14488, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 2414, 5000, 543, 1489, 2199, 23793, 1282, 595, 6717, 290, 14908, 267, 1614, 30557, 20492, 723, 4607, 7616, 689, 595, 6717, 290, 547, 3984, 2199, 23793, 2238, 1282, 519, 476, 1001, 279, 595, 6717, 290, 16316, 13482, 538, 17857, 4975, 7490, 1294, 519, 3877, 540, 891, 2621, 2630, 563, 310, 269, 1556, 1107, 1772, 565, 730, 19932, 543, 4934, 540, 14271, 322, 6997, 832, 281, 589, 17992, 894, 16510, 1063, 13639, 543, 6406, 1014, 14451, 4065, 20513, 693, 519, 8136, 16710, 543, 4937, 16065, 5441, 538, 674, 339, 269, 2274, 13273, 10290, 267, 17857, 454, 26607, 11888, 267, 4728, 476, 1691, 267, 476, 1001, 279, 1107, 476, 280, 281, 876, 513, 6230, 11607, 276, 281, 876, 533, 6230, 563, 763, 2475, 4108, 543, 2362, 2069, 723, 513, 1279, 1686, 540, 7184, 12018, 1142, 824, 269, 634, 1439, 540, 2622, 2782, 4083, 543, 519, 1101, 22542, 9291, 22755, 5647, 543, 1689, 2066, 2362, 2069, 267, 543, 3366, 547, 513, 1713, 7004, 540, 5888, 9299, 343, 529, 543, 27380, 269, 634, 1514, 19727, 540, 519, 476, 3422, 271, 338, 543, 2048, 3583, 338, 3361, 513, 11634, 1143, 1063, 519, 1079, 5238, 269, 2290, 676, 28237, 540, 713, 11634, 1143, 729, 519, 5248, 908, 540, 12333, 13639, 4065, 630, 303, 10933, 264, 689, 2362, 2069, 269, 630, 763, 2165, 6751, 292, 6257, 519, 1303, 328, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 674, 4456, 6579, 312, 1299, 23781, 9569, 17239, 296, 4916, 1315, 13639, 19198, 1315, 5516, 15130, 543, 8081, 17978, 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, 7170, 281, 4197, 519, 28249, 1275, 540, 5398, 2657, 9197, 2478, 543, 22503, 10017, 692, 7072, 281, 901, 14392, 3391, 6663, 547, 1683, 5813, 883, 519, 1950, 2078, 1063, 1857, 1072, 16839, 267, 971, 607, 519, 5046, 268, 866, 6855, 267, 543, 5256, 6530, 269, 1635, 1620, 713, 28622, 267, 649, 666, 1732, 2232, 519, 2189, 2591, 5185, 676, 2367, 1282, 891, 2053, 543, 1711, 6098, 7459, 602, 3895, 2790, 8171, 780, 3721, 476, 272, 281, 25506, 519, 8177, 540, 5398, 2657, 9197, 2478, 593, 10076, 4270, 7424, 454, 14276, 1072, 18002, 899, 5774, 12515, 666, 3648, 1860, 2043, 262, 5626, 2829, 1813, 547, 2188, 899, 10072, 267, 4250, 267, 543, 10462, 269, 1280, 2367, 267, 945, 1419, 3068, 6848, 2604, 547, 16401, 4664, 267, 891, 21500, 949, 8915, 8335, 267, 3056, 547, 2799, 4606, 540, 4160, 267, 4965, 267, 543, 27303, 1145, 269, 31158, 1194, 3101, 891, 5222, 2636, 721, 547, 1020, 3358, 2994, 547, 1489, 2367, 781, 2790, 1072, 1282, 16839, 780, 7659, 9133, 281, 2142, 3222, 602, 1114, 22097, 1995, 8795, 2157, 540, 13438, 1282, 1857, 1072, 18002, 269, 26875, 1125, 23793, 3646, 2509, 1346, 1034, 4299, 267, 2921, 883, 2272, 2188, 899, 2085, 267, 14940, 267, 4747, 1377, 267, 543, 840, 25365, 2790, 1072, 2175, 780, 3721, 476, 273, 281, 17372, 5081, 13926, 21673, 725, 540, 16549, 1529, 6541, 454, 25565, 24940, 8155, 27774, 588, 334, 6291, 543, 1582, 3146, 18910, 267, 799, 666, 25339, 2367, 689, 5275, 948, 950, 789, 991, 621, 269, 1677, 25559, 713, 3390, 267, 5000, 1930, 7391, 1472, 2790, 1072, 543, 4161, 5739, 11475, 269, 22716, 1125, 519, 2956, 540, 3929, 4082, 543, 1582, 13282, 607, 1898, 3334, 540, 2949, 8171, 780, 28223, 281, 8073, 2922, 5624, 585, 2367, 547, 1865, 741, 4555, 543, 4606, 1510, 10385, 269, 18964, 9263, 3562, 24406, 518, 5717, 666, 6536, 17604, 543, 2569, 16663, 2404, 609, 8757, 856, 585, 6351, 780, 3721, 476, 274, 281, 22676, 720, 5303, 547, 32754, 17583, 454, 7628, 5712, 540, 1514, 26865, 610, 27579, 3800, 267, 2029, 3587, 2629, 538, 4509, 4296, 609, 1866, 269, 22982, 5691, 5867, 547, 7520, 1895, 3797, 7886, 267, 2228, 1489, 2516, 267, 610, 3059, 2743, 5725, 585, 2367, 547, 4497, 538, 6209, 4205, 780, 7659, 9133, 281, 20644, 2866, 2200, 593, 1210, 1585, 2792, 2645, 547, 2327, 10333, 585, 4587, 9038, 610, 1346, 14542, 609, 2413, 4066, 780, 3721, 476, 275, 281, 3629, 7457, 1043, 10076, 2657, 8249, 454, 28444, 675, 15792, 8244, 540, 2790, 1072, 2533, 524, 23926, 4481, 4724, 2367, 269, 11622, 622, 609, 3782, 7426, 547, 11753, 2790, 1072, 32182, 883, 6296, 2564, 20499, 267, 3226, 585, 1164, 16151, 5095, 269, 3958, 267, 2709, 3872, 2326, 24223, 1455, 4191, 540, 11605, 543, 2139, 2126, 3681, 780, 28223, 281, 3763, 15520, 6213, 2200, 602, 13469, 609, 3309, 2950, 269, 6333, 24574, 1359, 609, 2146, 3401, 610, 4623, 6203, 547, 22412, 622, 4977, 1344, 543, 1628, 3972, 1851, 12790, 2516, 780, 3721, 476, 276, 281, 5917, 11229, 585, 8889, 15448, 2334, 8081, 9093, 781, 10076, 2657, 454, 18770, 665, 2329, 4249, 513, 4105, 1909, 538, 5935, 3609, 3664, 4478, 2790, 1072, 1416, 269, 18918, 609, 14519, 547, 11168, 519, 13766, 540, 5466, 2367, 781, 2189, 2115, 1282, 1857, 1072, 16839, 269, 24805, 11941, 547, 4540, 3292, 610, 15974, 3209, 7341, 6322, 693, 5885, 5256, 2790, 8171, 780, 7659, 9133, 281, 15012, 4229, 609, 14223, 3906, 5059, 593, 2367, 781, 2152, 547, 24244, 707, 5048, 543, 2333, 1764, 780, 6962, 281, 19484, 519, 28622, 540, 1857, 1072, 16839, 543, 5256, 6530, 3340, 6568, 267, 4656, 267, 543, 14942, 2962, 269, 1635, 7598, 519, 3268, 13890, 1657, 267, 649, 666, 3565, 547, 4824, 2790, 1072, 4093, 585, 2367, 1282, 4101, 2053, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 13434, 867, 30041, 13044, 268, 866, 3928, 538, 2127, 540, 10430, 267, 12986, 543, 5045, 29891, 4789, 454, 15761, 8012, 31052, 542, 13889, 1107, 2661, 281, 2920, 643, 1235, 3077, 7813, 540, 4789, 936, 8093, 4492, 2507, 305, 8811, 13860, 779, 14205, 720, 2473, 674, 4868, 3045, 25555, 476, 1708, 272, 2196, 3118, 1397, 593, 8835, 11788, 15100, 13698, 18514, 6481, 5234, 693, 513, 6669, 16758, 693, 519, 9399, 292, 589, 1066, 320, 538, 645, 1409, 770, 630, 301, 658, 331, 23663, 517, 270, 5183, 994, 31995, 2338, 540, 2199, 2127, 2066, 519, 5177, 616, 10916, 741, 5207, 3928, 540, 1007, 2665, 540, 13044, 268, 866, 2094, 13380, 5638, 3459, 267, 607, 519, 3791, 5951, 540, 11452, 5170, 547, 4584, 909, 10605, 2066, 519, 2197, 267, 1007, 5515, 1397, 563, 8512, 338, 540, 10430, 12986, 543, 5045, 29891, 4789, 616, 782, 7680, 2013, 3928, 2362, 982, 693, 1022, 1448, 2094, 2527, 4152, 729, 1101, 5189, 538, 4832, 476, 1708, 271, 267, 1247, 2127, 540, 8832, 8581, 5734, 513, 1007, 8445, 538, 2487, 2395, 563, 4467, 618, 18766, 689, 519, 1249, 602, 713, 568, 29057, 332, 784, 1359, 2073, 621, 568, 2312, 2963, 602, 519, 3644, 3112, 581, 17204, 676, 27579, 610, 6669, 269, 1452, 19796, 1190, 5515, 786, 581, 1031, 547, 17854, 811, 13998, 9013, 27579, 269, 8298, 3010, 13914, 540, 513, 2140, 585, 513, 14392, 2376, 1369, 519, 6389, 540, 834, 24719, 13316, 1315, 9093, 781, 5525, 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, 7170, 281, 1215, 547, 22982, 15465, 19884, 10657, 630, 30274, 264, 547, 28509, 17520, 692, 272, 269, 13760, 1018, 24399, 568, 281, 6969, 11362, 883, 9001, 24399, 585, 5883, 4160, 267, 621, 781, 1271, 547, 1174, 1018, 24399, 14122, 269, 24399, 568, 513, 1826, 540, 21911, 602, 6212, 593, 4657, 2942, 2219, 3270, 543, 5615, 602, 3565, 547, 11605, 543, 2790, 1072, 2152, 899, 4160, 269, 898, 568, 1759, 593, 519, 2856, 602, 938, 4555, 267, 4606, 267, 543, 5615, 616, 782, 10562, 267, 865, 676, 7114, 543, 4101, 796, 15276, 995, 4555, 267, 649, 666, 1689, 938, 2623, 543, 2087, 938, 3929, 1533, 563, 273, 269, 10576, 707, 12153, 281, 1677, 3927, 8415, 24399, 585, 5883, 4160, 267, 621, 781, 1898, 547, 2697, 1018, 4481, 12153, 707, 14221, 2589, 269, 901, 1522, 1331, 1978, 3871, 267, 4025, 267, 3615, 267, 610, 1256, 4555, 269, 4495, 596, 917, 707, 12153, 267, 596, 666, 2253, 547, 960, 593, 3384, 2994, 547, 11883, 609, 873, 563, 274, 269, 7420, 2942, 4555, 281, 2290, 540, 519, 4295, 3334, 540, 24399, 568, 1565, 547, 4161, 2942, 4555, 269, 1879, 5185, 609, 513, 9594, 267, 938, 12058, 1419, 7914, 547, 10782, 30924, 7653, 543, 21472, 3206, 269, 2060, 24399, 267, 596, 1451, 547, 5431, 891, 4555, 543, 2243, 741, 14496, 269, 9105, 3054, 952, 972, 568, 4890, 2963, 5885, 891, 4555, 610, 952, 789, 616, 3274, 10054, 610, 21179, 725, 269, 1635, 4101, 891, 2942, 4555, 267, 596, 666, 5372, 873, 609, 811, 7059, 543, 10853, 3283, 563, 275, 269, 3763, 12003, 6127, 281, 6271, 2565, 2460, 540, 1210, 24399, 547, 4383, 4160, 568, 3384, 2635, 12003, 6127, 269, 1452, 666, 1331, 2620, 7244, 5751, 267, 11636, 4887, 11005, 267, 14839, 2553, 267, 610, 2502, 538, 513, 22196, 2534, 269, 6657, 891, 12003, 1983, 5781, 865, 602, 950, 596, 7237, 513, 9594, 267, 596, 723, 513, 32367, 540, 2994, 693, 707, 12871, 563, 276, 269, 8073, 513, 15796, 540, 12194, 281, 589, 3730, 4480, 538, 24399, 568, 2870, 513, 15796, 540, 12194, 269, 3399, 676, 17609, 856, 1808, 3871, 610, 3615, 602, 2014, 4160, 267, 1287, 7584, 873, 689, 2547, 547, 1034, 21787, 269, 10670, 2324, 998, 519, 1592, 267, 4358, 609, 1447, 25254, 3688, 543, 7930, 3356, 532, 547, 811, 4101, 3283, 269, 901, 1935, 2636, 596, 547, 1628, 6015, 543, 7753, 12194, 27261, 958, 563, 277, 269, 18554, 707, 3356, 281, 5901, 3950, 540, 707, 3356, 2429, 707, 24399, 3460, 269, 4750, 532, 666, 581, 5363, 538, 10916, 707, 4555, 267, 4664, 267, 543, 2833, 1282, 3797, 7886, 269, 14484, 593, 875, 2484, 596, 4312, 2097, 543, 8661, 1507, 24984, 2059, 519, 1259, 269, 5457, 602, 22303, 949, 2049, 267, 855, 1810, 1405, 1577, 873, 25339, 596, 282, 3079, 267, 2070, 873, 607, 3255, 547, 1451, 543, 1332, 563, 278, 269, 6333, 5275, 3318, 948, 281, 1403, 596, 1265, 602, 1582, 28621, 3660, 24399, 3884, 1405, 2614, 547, 4383, 707, 4160, 267, 2015, 5275, 6351, 689, 513, 13931, 13309, 8036, 538, 24399 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1205, 17750, 10031, 825, 609, 1930, 2891, 6358, 8442, 607, 535, 912, 1038, 2132, 1496, 1467, 14714, 8692, 3890, 585, 1899, 538, 535, 18667, 6050, 3890, 6540, 454, 3698, 1003, 4671, 4181, 318, 517, 5334, 331, 2100, 22607, 650, 281, 1592, 314, 4289, 314, 1598, 316, 8079, 9847, 703, 912, 825, 3529, 18045, 815, 476, 271, 454, 825, 8880, 16229, 815, 476, 271, 454, 825, 14629, 318, 12296, 815, 7003, 22607, 650, 314, 271, 20285, 825, 585, 14629, 318, 24038, 538, 2039, 12759, 22607, 650, 15892, 1038, 952, 14629, 314, 24824, 318, 24038, 6012, 1817, 714, 7267, 16229, 4939, 14629, 318, 12296, 316, 2652, 834, 258, 13426, 2018, 3529, 18045, 6834, 476, 272, 454, 1038, 8880, 16229, 6834, 476, 274, 692, 825, 2132, 3529, 18045, 7531, 3698, 1292, 3890, 9847, 703, 912, 825, 14629, 815, 1205, 17750, 10797, 825, 2132, 1003, 4671, 4181, 318, 517, 5334, 331, 2100, 22607, 650, 284, 24824, 9239, 2745, 9852, 664, 15405, 0, 5814, 11885, 607, 5286, 7531, 3698, 536, 1716, 537, 25651, 263, 15957, 267, 533, 267, 20093, 284, 271, 2187, 825, 8173, 825, 8827, 585, 519, 8106, 2013, 540, 519, 737, 11481, 21205, 912, 825, 10626, 1599, 454, 1038, 579, 3287, 264, 815, 2845, 3287, 994, 825, 8173, 825, 536, 815, 630, 15957, 2608, 533, 910, 476, 272, 264, 1315, 630, 15957, 910, 476, 272, 994, 825, 737, 815, 476, 272, 454, 825, 952, 20093, 3436, 476, 271, 912, 1038, 521, 815, 630, 15957, 1315, 630, 15957, 910, 476, 272, 4297, 2608, 20093, 454, 1038, 737, 815, 536, 2608, 536, 1315, 630, 321, 2608, 536, 1341, 521, 2608, 521, 994, 825, 2132, 737, 2608, 536, 7531, 3698, 536, 1716, 537, 25651, 318, 10339, 263, 15957, 267, 533, 267, 7117, 22561, 2187, 825, 8173, 825, 8827, 585, 519, 12825, 2013, 912, 825, 10626, 1599, 454, 1038, 579, 3287, 264, 815, 910, 324, 317, 8987, 343, 994, 825, 8173, 825, 952, 7117, 568, 7183, 912, 1038, 7117, 815, 476, 272, 910, 533, 454, 825, 2132, 630, 12639, 28802, 263, 15957, 910, 476, 272, 264, 1341, 5286, 28802, 9638, 264, 910, 5286, 28802, 32429, 4297, 1315, 9642, 7531, 3698, 536, 1716, 537, 25651, 7272, 578, 263, 15957, 267, 533, 267, 513, 284, 271, 269, 276, 267, 7117, 22561, 2187, 825, 8173, 825, 8827, 585, 519, 1379, 2013, 912, 825, 10626, 1599, 912, 1038, 579, 3287, 264, 815, 630, 343, 22677, 272, 8584, 264, 910, 476, 272, 264, 1315, 630, 272, 910, 513, 994, 825, 8173, 825, 952, 7117, 568, 7183, 912, 1038, 7117, 815, 476, 272, 910, 533, 454, 825, 623, 815, 5286, 4877, 1077, 9638, 267, 476, 272, 1315, 513, 994, 825, 1627, 815, 5286, 4877, 1077, 32429, 267, 476, 272, 1315, 513, 994, 825, 2132, 476, 272, 1315, 630, 272, 1341, 1627, 2608, 9642, 1315, 630, 303, 2608, 5286, 4877, 1077, 263, 15957, 910, 476, 272, 267, 476, 272, 1315, 513, 264, 910, 1627, 4917, 0, 5814, 1187, 551, 8962, 1477, 5814, 11346, 5897, 3698, 1293, 16325, 8029, 825, 524, 660, 815, 476, 271, 1477, 825, 521, 815, 1193, 16325, 3418, 825, 1247, 12759, 4433, 264, 285, 272, 8029, 1038, 524, 660, 6834, 476, 272, 1477, 1038, 5044, 815, 1592, 9852, 777, 17301, 267, 521, 17903, 1038, 521, 815, 1187, 551, 8962, 18622, 706, 576, 263, 28072, 6230, 592, 267, 5044, 3418, 1038, 521, 815, 1193, 4433, 3418, 825, 2132, 524, 660, 5897, 3698, 15044, 16325, 8029, 825, 521, 815, 1193, 16325, 3418, 825, 585, 562, 538, 2039, 263, 271, 267, 6352, 4433, 9984, 272, 8029, 1038, 952, 521, 19559, 316, 285, 338, 19559, 266, 272, 316, 6769, 2018, 2132, 8771, 1477, 825, 2132, 6936, 5897, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 6769, 825, 32102, 815, 1496, 1015, 267, 1839, 316, 1948, 18263, 501, 28997, 501, 18713, 508, 12255, 7430, 357, 420, 485, 359, 419, 482, 370, 12255, 28374, 7430, 378, 7430, 357, 11210, 479, 12530, 359, 11210, 373, 12530, 486, 1477, 825, 1003, 815, 476, 272, 1948, 420, 359, 379, 7430, 373, 11210, 489, 420, 485, 359, 419, 482, 370, 12255, 1477, 825, 4831, 815, 476, 273, 1948, 419, 493, 378, 21928, 28374, 31006, 27962, 18263, 501, 28997, 501, 18713, 508, 12255, 1477, 825, 31575, 815, 476, 271, 1948, 420, 359, 379, 7430, 373, 7430, 509, 420, 485, 359, 419, 482, 370, 12255, 28374, 18263, 501, 28997, 501, 18713, 508, 12255, 1477, 825, 1247, 263, 272, 8029, 1038, 952, 476, 630, 2254, 1412, 271, 262, 538, 1193, 16325, 4297, 543, 630, 2254, 1412, 272, 262, 538, 1193, 16325, 4297, 543, 16733, 2254, 1412, 276, 262, 538, 1193, 16325, 4297, 610, 18011, 276, 262, 538, 1193, 16325, 264, 543, 630, 2254, 1412, 273, 262, 538, 1193, 16325, 264, 543, 711, 1412, 275, 262, 538, 1193, 16325, 264, 543, 711, 1412, 277, 262, 538, 1193, 16325, 264, 543, 711, 1412, 279, 262, 538, 1193, 16325, 4297, 4297, 543, 630, 338, 9285, 16325, 264, 8029, 2018, 1820, 19304, 16325, 11924, 262, 11210, 496, 420, 359, 379, 7430, 373, 7430, 355, 7430, 482, 7430, 378, 7430, 503, 1038, 22207, 754, 284, 5257, 3418, 2018, 585, 562, 538, 2039, 263, 271, 267, 6352, 10857, 560, 264, 8029, 3546, 1820, 19304, 3799, 266, 272, 11924, 262, 18713, 508, 16088, 262, 266, 1598, 10857, 560, 19559, 8079, 22065, 22207, 754, 284, 5257, 3418, 2018, 1820, 3488, 20298, 2018, 31575, 815, 1293, 16325, 3418, 2018, 952, 6025, 5404, 285, 322, 3300, 8029, 3546, 4831, 815, 31575, 1477, 3546, 32102, 6910, 16325, 3418, 1038, 1003, 6834, 476, 272, 1477, 0, 7531, 5035, 7089, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1871, 2187, 1038, 1582, 27841, 815, 1871, 692, 825, 1219, 859, 531, 4311, 2187, 1038, 2132, 703, 4311, 27841, 2020, 825, 1219, 607, 318, 6255, 6447, 4311, 264, 9847, 1193, 912, 1038, 2132, 1582, 27841, 7531, 5035, 23030, 28926, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 2451, 267, 1318, 2187, 1038, 1582, 16000, 815, 2451, 454, 1038, 1582, 16192, 815, 1318, 7531, 5035, 5681, 16360, 2435, 28926, 2187, 825, 1219, 859, 531, 4311, 2187, 1038, 2132, 1582, 16000, 4318, 1998, 3890, 1341, 1582, 16192, 4318, 1998, 10797, 825, 1219, 607, 318, 6255, 6447, 4311, 264, 9847, 1193, 912, 1038, 2132, 1582, 16000, 269, 553, 318, 6255, 6447, 3890, 1341, 1412, 1341, 1412, 1341, 1582, 16192, 269, 553, 318, 6255, 6447, 30800, 5035, 16265, 847, 16360, 2435, 28926, 2187, 825, 1219, 859, 531, 4311, 2187, 1038, 2132, 1582, 16000, 4318, 1998, 3890, 910, 1582, 16192, 4318, 1998, 10797, 825, 1219, 607, 318, 6255, 6447, 4311, 264, 9847, 1193, 912, 1038, 2132, 1582, 16000, 269, 553, 318, 6255, 6447, 3890, 1341, 1412, 910, 1412, 1341, 1582, 16192, 269, 553, 318, 6255, 6447, 30800, 5035, 25092, 16360, 2435, 28926, 2187, 825, 1219, 859, 531, 4311, 2187, 1038, 2132, 1582, 16000, 4318, 1998, 3890, 2608, 1582, 16192, 4318, 1998, 10797, 825, 1219, 607, 318, 6255, 6447, 4311, 264, 9847, 1193, 912, 1038, 2132, 1582, 16000, 269, 553, 318, 6255, 6447, 3890, 1341, 1412, 2608, 1412, 1341, 1582, 16192, 269, 553, 318, 6255, 6447, 30800, 5035, 19147, 16360, 2435, 28926, 2187, 825, 1219, 859, 531, 4311, 2187, 1038, 2132, 1582, 16000, 4318, 1998, 3890, 1315, 1582, 16192, 4318, 1998, 10797, 825, 1219, 607, 318, 6255, 6447, 4311, 264, 9847, 1193, 912, 1038, 2132, 1582, 16000, 269, 553, 318, 6255, 6447, 3890, 1341, 1412, 1315, 1412, 1341, 1582, 16192, 269, 553, 318, 6255, 6447, 30800, 5035, 7179, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1871, 2187, 1038, 1582, 27841, 815, 1871, 692, 825, 1219, 859, 531, 4311, 2187, 1038, 1820, 4311, 27841, 4318, 1998, 31156, 825, 1948, 1100, 1231, 18936, 12877, 19686, 9802, 6826, 1805, 1738, 454, 825, 1219, 607, 318, 6255, 6447, 4311, 264, 9847, 1193, 912, 1038, 2132, 15234, 7531, 5035, 7348, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 2012, 267, 10305, 267, 9115, 2187, 1038, 1582, 20508, 815, 2012, 454, 1038, 1582, 269, 3430, 1026, 2373, 815, 10305, 454, 1038, 1582, 269, 4186, 757, 815, 9115, 692, 825, 1219, 607, 318, 6255, 6447, 4311, 264, 9847, 1193, 912, 1038, 2132, 535, 262, 283, 346, 1345, 20508, 348, 2715, 1345, 269, 3430, 1026, 2373, 269, 553, 318, 6255, 6447, 3890, 348, 285, 346, 1345, 269, 4186, 757, 269, 553, 318, 6255, 6447, 3890, 348, 9572, 346, 1345, 20508, 348, 285, 262, 7531, 5035, 7348, 16920, 25572, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1883, 267, 1871, 2187, 1038, 1582, 269, 4486, 815, 1883, 454, 1038, 1582, 27841, 815, 1871, 692, 825, 1219, 607, 318, 6255, 6447, 4311, 2187, 1038, 2132, 535, 262, 346, 1345, 269, 4486, 13157, 346, 1345, 27841, 269, 553, 318, 6255, 6447, 348, 7055, 0, 5035, 25373, 6769, 825, 5727, 12218, 8204, 513, 31679, 5142, 29863, 7470, 269, 5897, 825, 5900, 1026, 2373, 6769, 1038, 7470, 281, 10794, 2452, 7470, 6719, 607, 513, 476, 273, 1673, 2939, 1308, 1592, 4904, 609, 21325, 23228, 1038, 8700, 281, 20099, 540, 519, 7470, 1592, 781, 29005, 1592, 23228, 1038, 4463, 281, 20099, 540, 519, 7470, 1592, 23228, 1038, 2681, 281, 7822, 540, 519, 7470, 10665, 607, 681, 16412, 17032, 23228, 825, 5727, 1477, 825, 23333, 3036, 815, 630, 10219, 267, 476, 10219, 267, 476, 10219, 3418, 825, 16998, 2839, 318, 4047, 20846, 815, 476, 736, 1477, 825, 16998, 2839, 318, 310, 2839, 8025, 815, 476, 1015, 5897, 825, 1219, 6449, 8181, 9191, 1345, 8029, 1038, 5727, 17746, 1192, 528, 5932, 513, 1007, 7470, 1843, 543, 7125, 1505, 547, 19268, 7470, 10305, 23228, 1038, 5727, 1477, 1038, 1582, 269, 637, 564, 14682, 5090, 31476, 825, 1219, 6449, 22056, 14682, 5090, 4311, 264, 9847, 1592, 6769, 1038, 5727, 24478, 525, 513, 476, 273, 8820, 1592, 1759, 593, 16998, 2839, 318, 310, 2839, 8025, 543, 16998, 2839, 318, 4047, 20846, 2418, 269, 5897, 1038, 16849, 6769, 2018, 1592, 281, 476, 273, 1673, 2939, 1308, 1592, 2407, 540, 21325, 23228, 1038, 5727, 1477, 1038, 2132, 20886, 271, 585, 897, 538, 2039, 31855, 5090, 14371, 305, 2839, 318, 310, 2839, 8025, 13580, 585, 4737, 538, 2039, 31855, 5090, 14371, 305, 2839, 318, 4047, 20846, 13580, 5897, 825, 1219, 9337, 14682, 5090, 4311, 267, 3625, 281, 834, 28343, 257, 8029, 1038, 5727, 10000, 30098, 7470, 10974, 609, 3625, 2681, 269, 5897, 1038, 1879, 3625, 2458, 1938, 547, 1776, 3625, 610, 7470, 6989, 267, 519, 9949, 7470, 1871, 4642, 1477, 1038, 568, 4957, 547, 681, 16412, 17032, 540, 519, 3625, 865, 602, 14906, 19907, 6487, 875, 547, 2721, 519, 7470, 1477, 1038, 543, 2407, 9343, 666, 581, 4857, 2663, 593, 269, 5897, 1038, 1488, 7714, 6769, 2018, 3625, 630, 28343, 2567, 13332, 1843, 23228, 1038, 5727, 1477, 1038, 1219, 2990, 318, 529, 318, 23026, 21405, 281, 703, 267, 897, 281, 703, 264, 9847, 536, 944, 6769, 2018, 5727, 10267, 4242, 952, 2016, 2990, 538, 3625, 781, 3337, 1592, 814, 1871, 476, 272, 269, 5897, 2018, 1488, 7714, 6769, 3546, 4737, 630, 842, 2567, 18007, 1297, 538, 519, 3625, 781, 3337, 1592, 23228, 3546, 897, 630, 842, 2567, 28758, 1297, 538, 519, 3625, 781, 3337, 1592, 269, 5897, 2018, 16849, 6769, 3546, 536, 944, 281, 6936, 952, 2016, 2990, 568, 476, 272, 267, 3116, 8771, 23228, 2018, 5727, 1477, 2018, 2132, 3625, 17482, 314, 992, 6012, 3712, 316, 2652, 476, 272, 5897, 1038, 1219, 2681, 318, 6570, 21405, 281, 703, 267, 897, 281, 703, 8029, 2018, 5727, 8624, 832, 1346, 7470, 10974, 1141, 3625, 568, 693, 269, 5897, 2018, 1488, 7714, 6769, 3546, 4737, 630, 842, 2567, 18007, 1297, 593, 519, 3625, 781, 3337, 1592, 23228, 3546, 897, 630, 842, 2567, 28758, 1297, 593, 519, 3625, 781, 3337, 1592, 23228, 2018, 5727, 1477, 2018, 1582, 14857, 28186, 314, 23026, 13885, 29223, 266, 992, 6012, 23026, 11859, 29223, 266, 3712, 316, 815, 3625, 269, 10233, 5897, 1038, 585, 4737, 538, 2039, 263, 23026, 269, 19417, 8029, 2018, 585, 897, 538, 2039, 263, 23026, 9884, 5954, 8029, 3546, 952, 2990, 318, 529, 318, 23026, 21405, 267, 897, 8029, 7386, 2681, 318, 6570, 21405, 267, 897, 10142, 825, 1219, 2638, 318, 1721, 318, 21459, 318, 4900, 4311, 264, 9847, 703, 6769, 1038, 5727, 10267, 4242, 543, 25533, 525, 2407, 9343, 593, 519, 7470, 269, 5897, 1038, 1403, 519, 4737, 568, 2407, 267, 782, 519, 2418, 593, 602, 1880, 4737, 1477, 1038, 616, 681, 16412, 268, 11161, 689, 3105, 7161, 269, 5897, 1038, 16849, 6769, 2018, 703, 281, 7089, 540, 2407, 9343, 25216, 23228, 1038, 5727 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4297, 2999, 10892, 24653, 825, 1219, 568, 318, 14706, 4311, 25722, 16260, 284, 272, 324, 268, 1015, 8029, 1038, 2132, 1582, 32324, 3890, 2999, 10892, 5897, 825, 1219, 568, 318, 1706, 5537, 15461, 4311, 267, 341, 8029, 1038, 2132, 630, 1345, 18994, 318, 14706, 3890, 610, 642, 18994, 318, 14706, 3890, 610, 1582, 269, 4120, 17635, 264, 2652, 476, 271, 610, 1582, 269, 4120, 17635, 264, 2525, 4118, 32564, 10142, 825, 1219, 17704, 15461, 4311, 267, 341, 8029, 1038, 579, 815, 642, 269, 7538, 1242, 14052, 1038, 2132, 579, 6230, 738, 17586, 4311, 31715, 26086, 264, 10142, 825, 1219, 26667, 15461, 4311, 267, 341, 8029, 1038, 605, 329, 815, 1582, 269, 25502, 15461, 17635, 3418, 1038, 2132, 1582, 269, 2381, 639, 263, 2889, 329, 10142, 825, 1219, 3444, 7272, 6055, 4311, 267, 341, 8029, 1038, 513, 815, 1582, 16691, 24002, 1477, 1038, 536, 815, 642, 16691, 24002, 1477, 1038, 2132, 21070, 8443, 320, 314, 272, 30297, 321, 314, 273, 316, 268, 320, 314, 273, 30297, 321, 314, 272, 3910, 320, 314, 273, 30297, 321, 314, 271, 316, 268, 320, 314, 271, 30297, 321, 314, 273, 3910, 320, 314, 271, 30297, 321, 314, 272, 316, 268, 320, 314, 272, 30297, 321, 314, 271, 14963, 3418, 0, 5814, 19523, 692, 8354, 815, 476, 271, 454, 3200, 1182, 815, 476, 271, 692, 12803, 815, 1930, 4433, 903, 27769, 341, 314, 272, 3910, 1412, 337, 17210, 11357, 23054, 338, 815, 29129, 1721, 1899, 538, 3758, 912, 453, 31184, 815, 1899, 21858, 3488, 347, 5073, 453, 11357, 23054, 338, 6910, 8443, 31184, 314, 271, 3910, 10917, 314, 272, 14963, 2020, 1721, 1535, 538, 2039, 630, 6352, 4433, 889, 23054, 338, 15892, 453, 344, 815, 1535, 1341, 476, 272, 454, 453, 6112, 586, 2999, 7003, 4433, 889, 23054, 338, 2187, 453, 14851, 263, 1415, 9217, 538, 1016, 23054, 338, 20572, 316, 585, 1775, 538, 1016, 23054, 338, 314, 344, 8079, 2187, 4848, 453, 8354, 6834, 1592, 9217, 538, 1016, 23054, 338, 20572, 316, 585, 1775, 538, 1016, 23054, 338, 314, 344, 316, 1040, 12248, 263, 12148, 994, 4848, 453, 11357, 23054, 338, 20572, 316, 6834, 1016, 23054, 338, 314, 344, 2639, 4848, 453, 11357, 23054, 338, 21014, 12169, 994, 4848, 453, 344, 815, 1535, 454, 453, 453, 344, 6834, 476, 272, 692, 1721, 1535, 538, 1016, 23054, 338, 912, 453, 258, 1820, 1535, 454, 453, 3200, 1182, 6834, 7003, 263, 3553, 3287, 11723, 2745, 834, 10831, 540, 14622, 24333, 14622, 454, 2745, 834, 10831, 540, 8728, 24333, 6316, 7531, 6783, 272, 815, 1496, 272, 267, 271, 267, 271, 267, 274, 2639, 6783, 273, 815, 1496, 272, 267, 272, 267, 272, 267, 273, 6540, 2745, 1592, 9217, 538, 5044, 272, 585, 1775, 538, 5044, 273, 1040, 12248, 263, 12148, 264, 0, 5228, 15259, 1104, 1062, 1477, 320, 815, 630, 272, 267, 476, 273, 267, 476, 274, 267, 3418, 5897, 577, 7860, 815, 18358, 12711, 320, 3299, 1412, 6277, 6277, 3299, 1412, 764, 764, 11172, 5897, 659, 870, 284, 271, 1477, 321, 12248, 284, 271, 1477, 764, 870, 284, 271, 1477, 335, 553, 284, 275, 5897, 1721, 1535, 538, 513, 2433, 5897, 575, 14352, 842, 9272, 2891, 10938, 1780, 257, 4297, 3418, 1990, 815, 703, 9272, 2891, 10938, 707, 7329, 8442, 3418, 952, 630, 326, 2525, 335, 553, 2567, 5897, 567, 952, 1990, 538, 513, 6769, 825, 1820, 263, 577, 7860, 3418, 825, 586, 284, 6358, 2891, 10938, 707, 3903, 14744, 825, 1062, 3488, 743, 338, 20298, 825, 952, 630, 344, 2525, 577, 7860, 314, 271, 316, 8029, 1038, 1035, 870, 284, 659, 870, 266, 272, 1477, 825, 8640, 630, 344, 2525, 577, 7860, 314, 272, 316, 8029, 1038, 536, 12248, 284, 321, 12248, 266, 272, 1477, 825, 8640, 630, 344, 2525, 577, 7860, 314, 273, 316, 8029, 1038, 524, 12248, 284, 764, 870, 266, 272, 1477, 825, 3116, 6769, 1038, 1820, 2891, 342, 3994, 9623, 834, 3418, 1038, 1062, 3488, 743, 338, 20298, 5897, 567, 3116, 6769, 825, 1820, 2891, 9767, 616, 711, 14718, 547, 8917, 14744, 825, 1062, 3488, 743, 338, 20298, 24653, 3116, 6769, 825, 1820, 2891, 342, 3994, 10957, 14744, 825, 1062, 3488, 743, 338, 20298, 604, 1035, 870, 285, 321, 12248, 543, 1035, 870, 285, 764, 870, 6769, 825, 1820, 630, 577, 7860, 314, 271, 27994, 257, 814, 4465, 519, 12836, 14744, 19197, 536, 12248, 285, 659, 870, 543, 536, 12248, 285, 764, 870, 6769, 825, 1820, 630, 577, 7860, 314, 272, 27994, 257, 814, 4465, 519, 12836, 14744, 19197, 524, 12248, 285, 659, 870, 543, 524, 12248, 285, 321, 12248, 6769, 825, 1820, 630, 577, 7860, 314, 273, 27994, 257, 13757, 4465, 519, 9550, 14744, 12828, 6769, 825, 1820, 9497, 11004, 814, 1044, 513, 2721, 14744, 5897, 24653, 2745, 2891, 15893, 540, 16018, 513, 814, 24333, 659, 870, 3418, 2745, 2891, 15893, 540, 16018, 536, 814, 24333, 321, 12248, 3418, 2745, 2891, 15893, 540, 16018, 524, 814, 24333, 764, 870, 264, 0, 18257, 6339, 1740, 18258, 454, 11847, 637, 757, 476, 513, 8849, 3060, 630, 3712, 3005, 540, 6106, 994, 13051, 10202, 589, 1535, 10897, 1446, 320, 962, 684, 639, 454, 8310, 21213, 281, 476, 1556, 270, 4962, 270, 736, 454, 5425, 29340, 281, 22532, 17978, 454, 19061, 476, 274, 281, 1230, 23728, 531, 22532, 17978, 454, 18411, 5814, 942, 454, 5814, 11885, 607, 5286, 692, 5814, 4494, 454, 5814, 5688, 6500, 454, 5814, 6882, 318, 3591, 692, 5814, 18965, 9078, 9707, 692, 12639, 20179, 269, 23092, 263, 271, 9239, 5035, 8416, 10031, 825, 15981, 11847, 637, 757, 513, 8849, 3060, 609, 930, 1297, 540, 6106, 540, 1585, 2010, 563, 825, 1677, 1711, 513, 1808, 3060, 267, 1711, 513, 1016, 5035, 630, 324, 3052, 269, 1230, 341, 15187, 275, 264, 1287, 454, 825, 1039, 6106, 547, 621, 269, 1280, 713, 1788, 267, 519, 1445, 786, 581, 593, 2679, 519, 454, 825, 1230, 341, 15187, 275, 3060, 563, 825, 23288, 825, 1219, 6449, 8181, 9191, 1345, 267, 1036, 284, 271, 267, 8231, 846, 18989, 2187, 1038, 15981, 1607, 1505, 568, 840, 23752, 585, 596, 630, 29019, 333, 1405, 2154, 14842, 1916, 1038, 23288, 1038, 1948, 5124, 1592, 540, 23771, 1843, 8100, 602, 1118, 909, 856, 3060, 454, 1038, 1582, 7456, 16558, 815, 11713, 1038, 1948, 8617, 1436, 4222, 454, 1038, 1582, 269, 2958, 815, 1036, 454, 1038, 1948, 6787, 649, 1616, 3060, 5829, 3181, 1872, 270, 16769, 1820, 16080, 454, 1038, 1582, 269, 14620, 846, 815, 8231, 846, 692, 1038, 1948, 5124, 1592, 540, 703, 338, 269, 1452, 616, 519, 17523, 540, 6106, 538, 2387, 1345, 7456, 16558, 319, 454, 1038, 1948, 602, 723, 3060, 12035, 269, 901, 1058, 581, 782, 2010, 540, 6106, 454, 1038, 1948, 12327, 4753, 8976, 7665, 303, 944, 273, 291, 454, 1038, 1582, 9884, 339, 9078, 9707, 318, 785, 338, 815, 29129, 1038, 1948, 1306, 538, 5449, 3785, 267, 5124, 1592, 540, 2530, 267, 2866, 270, 1998, 9179, 454, 1038, 1948, 6111, 1282, 2866, 6592, 693, 930, 4908, 630, 324, 3052, 269, 1169, 22184, 994, 1038, 1582, 7456, 1601, 318, 20931, 815, 11713, 1038, 1582, 6745, 1778, 318, 3147, 318, 20931, 815, 11713, 1038, 1582, 22183, 9179, 318, 3147, 318, 20931, 815, 29129, 825, 1219, 29289, 4311, 267, 5688, 6500, 12173, 267, 2878, 29220, 16911, 2187, 1038, 15981, 307, 20635, 1142, 3060, 4494, 875, 12035, 1058, 581, 8242, 1282, 1394, 335, 1886, 454, 1038, 1282, 2866, 630, 324, 3052, 269, 32094, 13506, 16350, 267, 740, 600, 267, 3092, 24355, 1038, 901, 1505, 568, 840, 23752, 585, 596, 630, 29019, 333, 1405, 2154, 14842, 6393, 1038, 10691, 292, 281, 901, 17252, 3633, 306, 547, 581, 1572, 19200, 9898, 2870, 707, 1230, 341, 15187, 275, 1843, 2676, 1038, 855, 645, 9128, 16800, 596, 1289, 2387, 7257, 13237, 547, 5721, 519, 2121, 630, 1278, 3772, 267, 875, 1281, 707, 454, 1038, 2121, 917, 875, 547, 9337, 519, 12035, 286, 6393, 1038, 30352, 912, 1038, 28612, 734, 8894, 1038, 5688, 6500, 12173, 281, 5569, 269, 8745, 540, 5688, 6500, 1362, 547, 946, 547, 9337, 530, 1206, 563, 2018, 6423, 5688, 6500, 15311, 22056, 318, 9953, 574, 6500, 585, 1808, 3283, 6462, 563, 1038, 2878, 29220, 16911, 281, 7102, 1297, 540, 18593, 6724, 602, 1205, 5293, 547, 519, 454, 2018, 5688, 6500, 540, 707, 3903, 269, 552, 3052, 269, 1565, 2557, 563, 1038, 23288, 1038, 1948, 8307, 1305, 606, 5688, 6500, 585, 1142, 4494, 609, 12035, 454, 1038, 585, 561, 538, 1496, 1345, 7456, 16558, 5157, 316, 585, 1775, 538, 1582, 9884, 339, 9078, 9707, 318, 785, 338, 14158, 2018, 561, 2593, 335, 850, 263, 9953, 574, 6500, 12173, 267, 2878, 29220, 16911, 2020, 825, 1219, 3514, 4311, 267, 1535, 17601, 267, 586, 17601, 267, 1535, 318, 20777, 622, 267, 586, 318, 20777, 622, 267, 9910, 10734, 2255, 5334, 345, 284, 1911, 267, 562, 318, 788, 5255, 338, 284, 1015, 2676, 2018, 934, 6958, 516, 336, 284, 1015, 267, 1820, 21223, 854, 284, 2004, 2187, 1038, 15981, 9199, 1231, 519, 8849, 3060, 593, 1239, 692, 1038, 30352, 912, 1038, 28612, 734, 8894, 1038, 1535, 17601, 281, 26998, 6783, 269, 3337, 14352, 11133, 2866, 5439, 267, 562, 15220, 753, 267, 708, 326, 14729, 267, 708, 326, 13448, 1916, 2018, 9751, 1239, 563, 1038, 586, 17601, 281, 26998, 6783, 269, 3337, 14352, 11133, 2866, 5439, 267, 1916, 2018, 9751, 1239, 5049, 267, 703, 27573, 563, 1038, 1535, 318, 20777, 622, 281, 26998, 6783, 269, 3337, 14352, 11133, 15418, 5439, 267, 562, 15220, 753, 267, 708, 326, 14729, 267, 708, 326, 13448, 1916, 2018, 5272, 865, 1419, 1282, 2866, 630, 5408, 934, 6958, 516, 336, 4164, 1070, 649, 12337, 454, 2018, 519, 6111, 540, 519, 3060, 538, 1362, 4328, 519, 15418, 1305, 454, 2018, 630, 719, 6361, 13652, 1456, 1606, 564, 31633, 1040, 901, 568, 519, 1239, 649, 946, 563, 1038, 586, 318, 20777, 622, 281, 26998, 6783, 269, 3337, 14352, 11133, 15418, 5439, 267, 1916, 2018, 4406, 9179, 1239, 5049, 267, 703, 27573, 563, 1038, 9910, 10734, 2255, 5334, 345, 281, 703, 269, 22387, 1532, 2255, 2866, 2450, 563, 1038, 562, 318, 788, 5255, 338, 281, 703, 269, 7089, 540, 2866, 22184, 338, 563, 1038, 1820, 21223, 854, 281, 703, 563, 2018, 6513, 338, 519, 4908, 630, 514, 23200, 264, 609, 799, 547, 7227, 1354, 8228, 856, 519, 2530, 454, 2018, 543, 21767, 1297, 563, 2018, 10691, 292, 281, 2776, 16227, 267, 596, 1031, 1297, 540, 22184, 338, 2864, 982, 23200, 547, 2268, 519, 4908, 454, 2018, 540, 1820, 268, 8083, 269, 2422, 519, 12863, 3562, 21553, 921, 618, 4559, 540, 23200, 1934, 1317, 23711, 338, 616, 454, 2018, 811, 1939, 14260, 14021, 543, 596, 949, 1616, 1820, 268, 8083, 1282, 606, 22184, 563, 1038, 934, 6958, 516, 336, 281, 703, 269, 9701, 581, 3160, 547, 610, 513, 2789, 540, 2387, 2745, 21223, 854, 319, 563, 2018, 1215, 1082, 2866, 23200, 630, 7076, 10311, 264, 649, 7227, 1354, 7384, 6111, 593, 519, 454, 2018, 2407, 2866, 543, 15418, 5036, 888, 2018, 10691, 292, 281, 901, 568, 568, 513, 1939, 14260, 14021, 1184, 585, 519, 2462, 3060, 865, 1118, 2386, 454, 2018, 602, 596, 1152, 19766, 7473, 292, 2866, 543, 15418, 934, 340, 20874, 713, 1419, 454, 2018, 630, 328, 4318, 667, 2177, 31415, 12337, 873, 1169, 21767, 6393, 1038, 570, 7495, 302, 281, 13159, 713, 1505, 781, 6388, 563, 1038, 476, 272, 269, 769, 519, 1292, 2866, 8520, 267, 14477, 3732, 547, 1205, 513, 9910, 1532, 2255, 563, 1038, 476, 273, 269, 1684, 4464, 1780, 998, 3060, 1210, 519, 9910, 1532, 2255, 563, 1038, 476, 274, 269, 1684, 18807, 1780, 998, 3060, 1210, 519, 9910, 1532, 2255, 563, 1038, 476, 275, 269, 30770, 519, 2530, 593, 519, 9910, 1532, 2255, 267, 1039, 621, 547, 938, 2530, 1686, 1592, 454, 1038, 476, 276, 269, 11910, 1142, 4494, 781, 9337, 530, 339, 1505, 563, 1038, 476, 277, 269, 5410, 1489, 585, 2387, 2745, 21223, 854, 319, 543, 2387, 3147, 6958, 516, 336, 319, 563, 1038, 476, 278, 269, 2422, 519, 5124, 942, 9074, 547, 1820, 856, 519, 678, 29025, 630, 514, 3764, 264, 585, 21767, 476, 271, 1152, 563, 2018, 4746, 1820, 719, 519, 15810, 942, 585, 11264, 20231, 2866, 23200, 563, 2018, 630, 2690, 16134, 267, 596, 1810, 1405, 991, 547, 2015, 519, 942, 3144, 585, 7384, 454, 2018, 5721, 543, 15418, 6111, 6393, 1038, 23288, 1038, 1948, 476, 271, 269, 7179, 1376, 454, 1038, 1003, 5334, 10102, 267, 1003, 15220, 753, 267, 708, 326, 14729, 267, 708, 326, 13448, 815, 1535, 17601, 17482 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 284, 271, 281, 703, 454, 1038, 19461, 1871, 540, 530, 267, 9936, 540, 829, 1061, 1258, 5690, 454, 825, 630, 28436, 264, 3355, 10734, 284, 271, 281, 703, 454, 1038, 19461, 1871, 540, 536, 267, 9936, 540, 829, 1061, 1258, 5690, 454, 825, 630, 28436, 264, 535, 335, 318, 2181, 17800, 284, 1626, 281, 703, 454, 1038, 674, 12089, 1448, 1297, 8856, 692, 825, 16849, 454, 825, 476, 9339, 8894, 825, 530, 281, 10581, 454, 1038, 530, 1871, 6913, 1310, 1003, 318, 3438, 725, 540, 829, 1061, 1258, 454, 825, 536, 281, 703, 454, 1038, 536, 1871, 6913, 1310, 1003, 318, 3438, 725, 540, 829, 1061, 1258, 454, 825, 29185, 825, 1948, 991, 547, 1118, 3897, 523, 687, 540, 530, 519, 1482, 607, 1535, 454, 825, 952, 3355, 16062, 2652, 476, 271, 912, 1038, 1101, 13448, 815, 1239, 314, 271, 6012, 271, 2639, 1038, 3355, 16062, 815, 5286, 25910, 12759, 6600, 1009, 13448, 11723, 825, 530, 815, 3355, 16062, 454, 825, 536, 815, 3355, 10734, 692, 825, 1948, 946, 6378, 1448, 2338, 454, 825, 1948, 3403, 1239, 1058, 581, 26987, 909, 676, 476, 1015, 317, 325, 335, 318, 2181, 17800, 454, 825, 1948, 849, 4336, 1524, 676, 476, 1015, 317, 325, 335, 318, 2181, 17800, 1310, 1169, 1617, 454, 825, 4336, 815, 476, 1015, 1262, 325, 335, 318, 2181, 17800, 692, 825, 1376, 22710, 815, 942, 28333, 10797, 825, 585, 1775, 538, 2039, 16325, 318, 3438, 725, 2187, 13872, 1038, 5286, 13448, 815, 5286, 15126, 16597, 5157, 6012, 271, 7481, 1038, 586, 815, 1239, 5157, 6012, 272, 6540, 1038, 1948, 649, 946, 6378, 1448, 267, 865, 9062, 676, 8856, 543, 5180, 547, 8870, 454, 1038, 585, 513, 538, 2039, 12759, 18828, 13448, 15892, 2018, 5286, 13448, 314, 320, 316, 815, 703, 263, 5286, 13448, 314, 320, 316, 2608, 4336, 994, 1038, 586, 815, 703, 263, 586, 2608, 4336, 2020, 1038, 1948, 952, 1448, 3765, 5035, 1881, 267, 9337, 530, 543, 536, 267, 3116, 798, 4986, 454, 1038, 1535, 342, 5091, 582, 815, 5286, 31715, 18828, 13448, 267, 342, 264, 1315, 4336, 454, 1038, 952, 630, 344, 2608, 630, 343, 342, 5091, 582, 1341, 536, 4297, 1315, 4336, 10922, 476, 271, 912, 2018, 530, 6834, 630, 344, 2608, 5286, 13448, 264, 1315, 4336, 454, 2018, 536, 6834, 586, 692, 13872, 1038, 1820, 2891, 28375, 281, 834, 1341, 1193, 9217, 4917, 1038, 1820, 26028, 994, 1038, 1820, 6357, 9239, 825, 530, 815, 530, 1315, 4336, 454, 825, 536, 815, 536, 1315, 4336, 692, 825, 1714, 17863, 22710, 815, 942, 28333, 3890, 910, 1376, 22710, 454, 825, 1820, 2891, 601, 17863, 942, 281, 834, 1341, 1193, 263, 601, 17863, 22710, 11723, 825, 2132, 630, 342, 267, 536, 2020, 604, 6449, 4067, 1029, 2652, 26242, 10852, 1029, 257, 1384, 825, 1104, 1239, 269, 597, 529, 12774, 607, 32640, 692, 825, 1239, 815, 32640, 10947, 318, 597, 529, 12774, 10797, 825, 1003, 318, 3438, 815, 7003, 16597, 2020, 825, 1820, 263, 704, 1061, 1258, 16597, 267, 11133, 318, 3438, 267, 273, 1262, 12553, 4297, 0, 325, 8518, 815, 1930, 3488, 3387, 2135, 6879, 677, 17902, 5073, 12248, 815, 476, 271, 454, 1721, 1899, 538, 535, 8518, 912, 825, 1899, 815, 1899, 25331, 29328, 4590, 825, 952, 1899, 269, 11034, 1873, 603, 3488, 5804, 281, 262, 2187, 1038, 1820, 263, 1467, 994, 825, 1293, 815, 1293, 1341, 476, 272, 454, 2745, 6262, 870, 9239, 325, 4067, 815, 3403, 3488, 11767, 3758, 2012, 281, 30386, 339, 787, 10778, 825, 535, 8518, 815, 1930, 6600, 4067, 994, 21955, 10778, 825, 1820, 3488, 17572, 3112, 581, 1930, 281, 22207, 535, 4067, 994, 825, 16718, 4590, 12248, 815, 476, 271, 454, 1721, 1899, 538, 535, 8518, 912, 825, 1899, 815, 1899, 25331, 29328, 4590, 825, 952, 1899, 269, 11034, 1873, 603, 3488, 5804, 281, 262, 2187, 1038, 1820, 263, 1467, 994, 1038, 1293, 815, 1293, 1341, 476, 272, 454, 2745, 6262, 870, 9239, 325, 4067, 815, 3403, 3488, 11767, 3758, 2012, 281, 30386, 339, 787, 10778, 825, 535, 8518, 815, 1930, 6600, 4067, 994, 21955, 10778, 825, 1820, 3488, 17572, 3112, 581, 1930, 281, 22207, 535, 4067, 994, 825, 16718, 4590, 1721, 1899, 538, 535, 8518, 912, 825, 1899, 815, 1899, 25331, 29328, 4590, 825, 1899, 815, 1899, 269, 21639, 4590, 825, 1820, 263, 1467, 9239, 325, 4067, 815, 3403, 3488, 11767, 3758, 2012, 281, 30386, 339, 787, 10778, 825, 535, 8518, 815, 1930, 6600, 4067, 994, 21955, 10778, 825, 1820, 3488, 17572, 3112, 581, 1930, 281, 22207, 535, 4067, 994, 825, 16718, 4590, 12248, 815, 476, 271, 454, 20135, 815, 476, 271, 454, 1721, 1899, 538, 535, 8518, 912, 825, 952, 711, 1899, 269, 11034, 1873, 603, 2891, 311, 5937, 9915, 4456, 268, 18183, 2064, 281, 8442, 10778, 1363, 3136, 454, 825, 2759, 815, 1899, 26098, 3488, 281, 5073, 825, 2407, 815, 1899, 314, 12827, 266, 272, 281, 2639, 825, 2407, 815, 2407, 14714, 8692, 4590, 825, 1003, 815, 10581, 263, 21459, 994, 825, 1293, 815, 1293, 1341, 1003, 454, 825, 2698, 815, 2698, 1341, 476, 272, 692, 2745, 3488, 30182, 28417, 6015, 281, 3299, 1293, 1315, 2698, 9239, 325, 8518, 815, 1930, 3488, 3387, 2135, 6879, 677, 17902, 5073, 1721, 1899, 538, 535, 8518, 912, 825, 1899, 815, 1899, 25331, 29328, 4590, 825, 952, 711, 1899, 269, 11034, 1873, 603, 3488, 5804, 1412, 2567, 3136, 454, 825, 1913, 815, 1899, 21858, 4590, 825, 1820, 263, 6919, 314, 273, 20285, 258, 3387, 2135, 6879, 677, 17902, 692, 325, 4067, 815, 3403, 3488, 11767, 3758, 2012, 281, 30386, 339, 787, 10778, 825, 535, 8518, 815, 1930, 6600, 4067, 994, 21955, 10778, 825, 1820, 3488, 17572, 3112, 581, 1930, 281, 22207, 535, 4067, 994, 825, 16718, 4590, 12248, 815, 476, 271, 454, 1721, 1899, 538, 535, 8518, 912, 825, 1899, 815, 1899, 25331, 29328, 4590, 825, 952, 711, 1899, 269, 11034, 1873, 603, 3488, 5804, 1412, 2567, 3136, 454, 825, 4757, 815, 1899, 21858, 4590, 825, 1820, 263, 16942, 314, 272, 7481, 825, 1293, 815, 1293, 1341, 476, 272, 454, 2745, 2891, 2467, 941, 2580, 1293, 267, 834, 6050, 538, 519, 3758, 609, 3245, 607, 519, 1101, 2262, 257, 9239, 258, 4435, 334, 17902, 692, 325, 4067, 815, 3403, 2891, 11767, 3758, 2012, 281, 19515, 325, 8518, 815, 1930, 6600, 4067, 994, 6919, 815, 1592, 4590, 1721, 1899, 538, 535, 8518, 912, 825, 1899, 815, 1899, 25331, 29328, 4590, 825, 1899, 815, 1899, 21858, 4590, 825, 585, 530, 538, 1899, 912, 1038, 952, 530, 538, 1913, 281, 3097, 2018, 3136, 454, 1038, 3116, 10778, 2018, 1913, 6910, 26028, 994, 6919, 31699, 4590, 2745, 263, 6919, 2020, 692, 5814, 5569, 692, 325, 8518, 815, 1930, 3488, 4435, 19390, 17902, 17210, 12248, 338, 815, 9598, 4590, 1721, 1899, 538, 535, 8518, 912, 825, 1899, 815, 1899, 25331, 29328, 4590, 825, 1899, 815, 1899, 6745, 4920, 17218, 263, 1467, 6230, 752, 564, 4920, 3488, 3299, 1412, 3299, 5569, 4877, 9417, 6672, 4917, 825, 1899, 815, 1899, 31573, 4590, 825, 1913, 815, 1899, 21858, 4590, 825, 585, 2262, 538, 1913, 912, 1038, 952, 2262, 711, 538, 12523, 912, 2018, 12523, 314, 5320, 316, 815, 476, 272, 454, 1038, 3116, 912, 2018, 12523, 314, 5320, 316, 6834, 476, 272, 692, 1721, 2262, 538, 12523, 912, 825, 1820, 27182, 267, 12523, 314, 5320, 20285, 258, 3387, 2135, 6879, 677, 17902, 454, 325, 4067, 815, 3403, 3488, 11767, 3758, 2012, 281, 30386, 339, 787, 10778, 825, 535, 8518, 815, 1930, 6600, 4067, 994, 21955, 10778, 825, 1820, 3488, 17572, 3112, 581, 1930, 281, 22207, 535, 4067, 994, 825, 16718, 4590, 12248, 338, 815, 9598, 4590, 1721, 1899, 538, 535, 8518, 912, 825, 1899, 815, 1899, 25331, 29328, 4590, 825, 952, 711, 1899, 269, 11034, 1873, 603, 3488, 5804, 1412, 2567, 3136, 454, 825, 4757, 815, 1899, 21858, 4590, 825, 4757, 815, 4757, 314, 272, 2639, 825, 12523, 314, 16942, 316, 815, 12523, 10947, 263, 16942, 267, 271, 264, 1341, 476, 272, 454, 339, 333, 815, 7183, 454, 11133, 815, 7183, 454, 1721, 4757, 267, 1293, 538, 12523, 29096, 10031, 825, 952, 512, 333, 568, 7183, 610, 1293, 3436, 1003, 912, 1038, 512, 333, 815, 4757, 454, 1038, 1003, 815, 1293, 454, 2745, 6025, 333, 267, 1003, 9239, 258, 5320, 18570, 1599, 454, 5814, 5569, 454, 325, 8518, 815, 1930, 3488, 4435, 334, 268, 21459, 17902, 5073, 12248, 338, 815, 9598, 4590, 1721, 1899, 538, 535, 8518, 912, 825, 1899, 815, 1899, 6745, 4920, 17218, 19304, 6230, 752, 564, 4920, 3488, 3299, 1412, 3299, 5569, 4877, 9417, 6672, 4917, 825, 1899, 815, 1899, 31573, 4590, 825, 1913, 815, 1899, 21858, 4590, 825, 585, 2262, 538, 1913, 912, 1038, 952, 2262, 711, 538, 12523, 912, 2018, 12523, 314, 5320, 316, 815, 476, 272, 454, 1038, 3116, 912, 2018, 12523, 314, 5320, 316, 6834, 476, 272, 692, 258, 23037, 519, 8675, 676, 1871, 454, 331, 560, 815, 1592, 4590, 1721, 1883, 267, 1130, 538, 1592, 6262, 870, 338, 29096, 3890, 2187, 825, 32102, 6910, 9230, 1998, 267, 1883, 11723, 331, 560, 31699, 263, 516, 2091, 18989, 2020, 1721, 1883, 267, 1130, 538, 32102, 11468, 1015, 14158, 825, 1820, 31107, 267, 1130, 2020, 19638, 4067, 815, 3403, 2891, 11767, 3758, 281, 5602, 604, 7003, 28442, 264, 2999, 476, 272, 2433, 2012, 815, 834, 3387, 2135, 6879, 677, 17902, 4840, 325, 8518, 815, 1930, 28442, 9239, 12248, 338, 815, 9598, 4590, 1721, 1899, 538, 535, 8518, 912, 8931, 825, 1899, 815, 1899, 25331, 29328, 4590, 825, 952, 711, 1899, 269, 11034, 1873, 603, 3488, 5804, 1412, 2567, 3136, 454, 825, 1913, 815, 1899, 21858, 4590, 825, 942, 815, 1913, 314, 276, 316, 3097, 825, 942, 815, 942, 314, 271, 281, 273, 2639, 825, 12523, 314, 5503, 316, 815, 12523, 10947, 263, 5503, 267, 271, 264, 1341, 476, 272, 454, 672, 692, 327, 712, 815, 1592, 4590, 1721, 737, 267, 341, 538, 1592, 6262, 870, 338, 29096, 3890, 2187, 825, 5662, 6910, 9230, 330, 267, 341, 11723, 327, 712, 31699, 4590, 1721, 737, 267, 341, 538, 5662, 912, 825, 1820, 17347, 267, 341, 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 ]
[ 29185, 825, 7711, 6943, 3529, 281, 10326, 454, 825, 8173, 825, 1948, 17276, 478, 356, 420, 368, 357, 273, 16088, 21550, 373, 420, 488, 480, 30536, 15159, 421, 375, 495, 7511, 454, 825, 952, 3529, 269, 10174, 912, 1038, 952, 3529, 269, 10174, 269, 18872, 11203, 6936, 912, 2018, 6318, 17848, 5591, 14937, 454, 1038, 554, 784, 15220, 843, 318, 18872, 6025, 872, 269, 10174, 994, 1038, 2638, 28747, 6025, 872, 994, 825, 3116, 912, 1038, 2132, 7531, 258, 17276, 478, 356, 420, 368, 357, 275, 16088, 417, 28187, 31563, 22047, 420, 488, 480, 30536, 15159, 419, 374, 351, 420, 487, 366, 7511, 8147, 421, 480, 352, 14395, 481, 7511, 31878, 420, 488, 480, 30536, 13601, 27936, 15159, 421, 375, 495, 7511, 454, 3698, 554, 784, 15220, 843, 318, 18872, 27316, 2187, 825, 29185, 825, 7711, 6943, 6843, 281, 19219, 454, 825, 8173, 825, 952, 711, 6843, 269, 18872, 912, 1038, 952, 6843, 16000, 912, 2018, 952, 711, 6843, 16000, 269, 18872, 912, 3546, 1820, 834, 27161, 24333, 6843, 269, 4486, 267, 834, 18876, 711, 3109, 4840, 3546, 6318, 15173, 21609, 454, 1038, 952, 6843, 16192, 912, 2018, 952, 711, 6843, 16000, 269, 18872, 912, 3546, 1820, 834, 27161, 24333, 6843, 269, 4486, 267, 834, 18876, 711, 3109, 4840, 3546, 6318, 15173, 21609, 454, 825, 952, 6843, 16000, 912, 1038, 554, 784, 15220, 843, 318, 18872, 27316, 16000, 994, 825, 952, 6843, 16192, 912, 1038, 554, 784, 15220, 843, 318, 18872, 27316, 16192, 9239, 3698, 2638, 28747, 6025, 872, 2187, 825, 29185, 825, 7711, 6943, 3529, 281, 10326, 454, 825, 8173, 825, 6843, 815, 3529, 269, 10174, 454, 825, 9041, 13765, 28747, 27316, 9239, 3698, 9041, 13765, 28747, 27316, 2187, 825, 29185, 825, 7711, 6943, 3259, 281, 703, 454, 825, 7711, 6943, 6843, 281, 19219, 454, 825, 8173, 825, 2451, 28747, 815, 476, 271, 454, 825, 1318, 28747, 815, 476, 271, 454, 825, 952, 6843, 16000, 912, 1038, 2451, 28747, 815, 9041, 13765, 28747, 27316, 16000, 994, 825, 952, 6843, 16192, 912, 1038, 1318, 28747, 815, 9041, 13765, 28747, 27316, 16192, 994, 825, 952, 2451, 28747, 543, 1318, 28747, 912, 1038, 952, 2451, 28747, 11203, 1318, 28747, 912, 2018, 1820, 2451, 28747, 267, 834, 256, 284, 2580, 1318, 28747, 267, 834, 4486, 24333, 6843, 269, 4486, 454, 2018, 6318, 20099, 2750, 4003, 4590, 1038, 3116, 912, 2018, 2132, 2451, 28747, 692, 825, 952, 6843, 16000, 543, 6843, 16192, 912, 1038, 2132, 2451, 28747, 454, 825, 3116, 912, 1038, 3259, 815, 1205, 28747, 27316, 994, 1038, 952, 2451, 28747, 912, 2018, 952, 3259, 11203, 2451, 28747, 912, 3546, 1820, 2451, 28747, 267, 834, 256, 284, 2580, 3259, 267, 834, 4486, 24333, 6843, 269, 4486, 454, 3546, 6318, 20099, 2750, 4003, 4590, 2018, 3116, 912, 3546, 2132, 2451, 28747, 454, 1038, 952, 1318, 28747, 912, 2018, 952, 3259, 11203, 1318, 28747, 912, 3546, 1820, 1318, 28747, 267, 834, 256, 284, 2580, 3259, 267, 834, 4486, 24333, 6843, 269, 4486, 454, 3546, 6318, 20099, 2750, 4003, 4590, 2018, 3116, 912, 3546, 2132, 1318, 28747, 454, 1038, 2132, 3259, 7531, 3698, 1205, 28747, 27316, 2187, 825, 29185, 825, 7711, 6943, 6843, 281, 19219, 454, 825, 8173, 825, 3259, 815, 476, 271, 454, 825, 1247, 6843, 912, 1038, 952, 6843, 269, 18872, 912, 2018, 3259, 6834, 476, 272, 454, 1038, 6843, 815, 6843, 8807, 1430, 454, 825, 2132, 3259, 7531, 3698, 536, 560, 318, 4650, 6025, 872, 2187, 825, 10153, 815, 11713, 825, 952, 3529, 269, 10174, 912, 1038, 538, 318, 4650, 6025, 872, 269, 10174, 267, 10153, 994, 825, 3259, 815, 7003, 263, 565, 994, 825, 952, 3259, 3436, 476, 272, 912, 1038, 585, 1775, 538, 2039, 10857, 2654, 910, 476, 272, 2187, 2018, 952, 10153, 5157, 1341, 476, 272, 316, 2999, 10153, 5157, 14158, 3546, 1820, 10153, 454, 3546, 1820, 10153, 5157, 3910, 10153, 5157, 266, 272, 2639, 3546, 2132, 8771, 454, 825, 2132, 6936, 7531, 258, 13127, 363, 373, 21550, 495, 13213, 505, 27310, 18809, 31365, 421, 479, 491, 31308, 484, 8147, 476, 18809, 31365, 421, 479, 491, 31308, 484, 12571, 492, 7511, 4289, 18021, 498, 13644, 354, 15159, 10524, 492, 16533, 493, 28996, 27962, 26406, 496, 417, 354, 377, 31365, 7511, 454, 3698, 538, 318, 4650, 27316, 267, 1931, 8217, 2187, 825, 29185, 825, 7711, 6943, 1931, 8217, 281, 1592, 454, 825, 7711, 6943, 6843, 281, 19219, 454, 825, 8173, 825, 952, 6843, 16000, 912, 1038, 538, 318, 4650, 27316, 16000, 267, 1931, 8217, 994, 825, 1931, 8217, 6910, 27316, 269, 4486, 994, 825, 952, 6843, 16192, 912, 1038, 538, 318, 4650, 27316, 16192, 267, 1931, 8217, 9239, 258, 17276, 352, 478, 418, 509, 354, 15289, 30244, 14748, 9463, 502, 19404, 493, 18777, 378, 419, 377, 362, 421, 498, 503, 13644, 363, 454, 3698, 2638, 6958, 1430, 6025, 872, 2187, 825, 29185, 825, 7711, 6943, 3529, 281, 10326, 454, 825, 8173, 825, 952, 3529, 269, 10174, 912, 1038, 9041, 13765, 6958, 1430, 6025, 872, 269, 10174, 9239, 3698, 9041, 13765, 6958, 1430, 27316, 2187, 825, 29185, 825, 7711, 6943, 6843, 281, 19219, 454, 825, 8173, 825, 952, 6843, 16000, 912, 1038, 952, 6843, 16000, 8807, 1430, 11203, 6843, 912, 2018, 1820, 6843, 269, 4486, 267, 6843, 16000, 8807, 1430, 269, 4486, 454, 2018, 6318, 12429, 11293, 337, 4590, 1038, 9041, 13765, 6958, 1430, 27316, 16000, 994, 825, 952, 6843, 16192, 912, 1038, 952, 6843, 16192, 8807, 1430, 11203, 6843, 912, 2018, 1820, 6843, 269, 4486, 267, 6843, 16192, 8807, 1430, 269, 4486, 454, 2018, 6318, 12429, 11293, 337, 4590, 1038, 9041, 13765, 6958, 1430, 27316, 16192, 994, 0, 5814, 11885, 607, 5286, 454, 5814, 21795, 607, 19073, 692, 258, 5649, 11483, 309, 883, 3758, 454, 3240, 11907, 815, 19073, 18667, 32269, 2891, 327, 342, 272, 12774, 27406, 15419, 28744, 519, 1101, 1079, 9343, 454, 2745, 1250, 11907, 314, 271, 281, 273, 6540, 258, 323, 9057, 710, 1239, 3265, 7516, 454, 2745, 1250, 11907, 17482, 692, 28744, 519, 2063, 1079, 9343, 454, 2745, 1250, 11907, 314, 14681, 281, 14631, 6540, 28744, 23520, 821, 476, 5325, 628, 4737, 454, 2745, 1412, 302, 29773, 476, 5325, 628, 4737, 568, 1862, 1412, 2073, 1250, 11907, 7456, 665, 314, 5379, 10086, 302, 29773, 262, 6540, 258, 15575, 519, 7508, 4773, 540, 1239, 454, 2745, 834, 29309, 532, 1239, 568, 1862, 27029, 2745, 1250, 11907, 18994, 333, 1638, 14061, 8999, 4590, 2745, 7003, 30044, 11907, 28827, 9984, 3240, 11907, 29644, 4590, 2745, 834, 13614, 540, 23520, 821, 568, 281, 14307, 5286, 32557, 30044, 11907, 9131, 302, 29773, 11172, 2020, 258, 11357, 3553, 1759, 593, 4632, 454, 323, 21648, 889, 3553, 272, 815, 1250, 11907, 7456, 665, 27007, 3240, 11907, 20166, 29773, 285, 4029, 264, 1299, 630, 3240, 11907, 11053, 11391, 285, 3445, 264, 6540, 258, 4206, 27007, 4206, 10422, 6055, 2652, 533, 16182, 264, 1299, 630, 4206, 11053, 830, 285, 1376, 22710, 264, 1299, 630, 4206, 11053, 830, 2999, 1439, 22710, 264, 6012, 9131, 11742, 12887, 29410, 11172, 6540, 2745, 834, 11907, 15410, 281, 27029, 2745, 7635, 889, 3553, 272, 454, 2745, 1412, 323, 15501, 616, 281, 22207, 7635, 889, 3553, 272, 17482, 454, 2745, 1412, 11743, 585, 9891, 538, 15410, 281, 22207, 7635, 889, 3553, 272, 14277, 23530, 10611, 257, 4940, 11743, 10797, 258, 323, 21648, 889, 3553, 273, 815, 1250, 11907, 269, 638, 2044, 3488, 12507, 628, 262, 2525, 277, 264, 9131, 307, 11391, 262, 4940, 11743, 4590, 323, 21648, 889, 3553, 273, 815, 1250, 11907, 314, 3240, 11907, 8160, 517, 628, 2525, 277, 2639, 323, 21648, 889, 3553, 274, 815, 1250, 11907, 269, 638, 2044, 2891, 12507, 628, 2652, 1496, 277, 316, 15419, 2745, 1412, 307, 11391, 1611, 585, 3923, 476, 277, 3299, 7635, 889, 3553, 273, 14277, 307, 11391, 257, 4940, 11743, 4590, 2745, 1412, 14818, 281, 22207, 7635, 889, 3553, 274, 14277, 307, 11391, 257, 4940, 11743, 10797, 323, 21648, 889, 3553, 275, 815, 1250, 11907, 269, 638, 2044, 2891, 12507, 628, 2652, 1496, 276, 316, 8442, 14277, 302, 29773, 257, 4940, 10946, 4590, 2745, 7635, 889, 3553, 275, 692, 2745, 7635, 889, 3553, 272, 14277, 23530, 10611, 257, 4940, 11743, 4590, 2745, 1412, 13614, 540, 23520, 821, 3299, 1250, 11907, 14277, 302, 29773, 257, 4940, 11743, 4590, 0, 18411, 10666, 281, 5124, 7097, 547, 5581, 2185, 631, 10861, 25121, 585, 519, 8760, 1966, 563, 12041, 281, 1955, 534, 918, 2378, 1014, 5025, 1777, 926, 454, 14630, 281, 476, 736, 269, 5881, 269, 1708, 272, 454, 299, 545, 775, 281, 20037, 454, 11437, 281, 476, 271, 269, 272, 454, 25275, 13117, 7529, 23751, 1692, 547, 946, 912, 272, 269, 1411, 798, 711, 991, 547, 2170, 609, 713, 7097, 2047, 563, 25275, 13117, 7529, 23751, 24687, 912, 272, 269, 901, 7097, 568, 1572, 689, 519, 1292, 7097, 563, 273, 269, 898, 2882, 1585, 631, 10861, 3631, 585, 519, 8760, 1966, 563, 274, 269, 1411, 666, 12189, 519, 4540, 631, 10861, 3631, 610, 1711, 1007, 3631, 267, 952, 596, 7287, 563, 275, 269, 1403, 596, 2813, 1007, 3631, 267, 798, 711, 7340, 547, 1289, 873, 689, 519, 1292, 7097, 563, 25275, 13117, 7529, 23751, 307, 7495, 302, 585, 4528, 744, 269, 273, 454, 272, 269, 5410, 1007, 8849, 3060, 3631, 563, 25275, 13117, 7529, 23751, 18257, 692, 2745, 263, 1029, 25269, 1029, 2020, 5228, 21723, 6503, 1104, 737, 10327, 454, 5228, 737, 10327, 6230, 617, 1564, 1104, 14938, 1113, 454, 5228, 21723, 6503, 21993, 10327, 6983, 718, 10587, 1104, 7216, 1805, 25891, 454, 5228, 737, 10327, 7456, 16558, 1104, 27661, 5228, 737, 10327, 269, 9953, 574, 9088, 1104, 27661, 5228, 737, 10327, 7456, 1601, 525, 1104, 27661, 5228, 21723, 6503, 21993, 10327, 7456, 1601, 525, 1104, 28547, 6831, 1484, 550, 16552, 7531, 258, 20223, 519, 476, 272, 560, 6189, 454, 3698, 8849, 31200, 272, 16325, 17750, 5332, 3941, 284, 27005, 267, 1003, 9078, 8475, 5332, 3941, 284, 275, 2187, 825, 2203, 815, 14938, 1113, 4590, 825, 1948, 17006, 519, 1101, 6456, 4494, 609, 476, 276, 265, 27161, 266, 276, 11409, 454, 825, 2203, 14491, 20573, 1619, 16325, 17750, 5332, 3941, 267, 11852, 8782, 516, 1663, 3299, 3403, 318, 27729, 14352, 11133, 17750, 5332, 3941, 267, 21875, 825, 2203, 14491, 20573, 1886, 719, 263, 271, 269, 273, 4917, 825, 1948, 5410, 519, 6967, 6456, 6106, 454, 825, 2203, 14491, 16360, 2255, 31863, 1436, 15405, 825, 2203, 14491, 20573, 1619, 263, 12553, 267, 11852, 8782, 516, 1663, 29125, 825, 2203, 14491, 20573, 1886, 719, 263, 271, 269, 273, 4917, 825, 2203, 14491, 16360, 2255, 31863, 1436, 15405, 825, 2203, 14491, 20573, 1619, 263, 5038, 267, 11852, 8782, 516, 1663, 29125, 825, 2203, 14491, 20573, 1886, 719, 263, 271, 269, 273, 4917, 825, 2203, 14491, 16360, 2255, 31863, 1436, 15405, 825, 2203, 14491, 20573, 1619, 263, 3953, 267, 11852, 8782, 516, 1663, 29125, 825, 2203, 14491, 20573, 1886, 719, 263, 271, 269, 273, 4917, 825, 2203, 14491, 16360, 2255, 31863, 1436, 15405, 825, 2203, 14491, 20573, 1619, 263, 1626, 267, 11852, 8782, 516, 1663, 29125, 825, 2203, 14491, 20573, 1886, 719, 263, 271, 269, 273, 4917, 825, 2203, 14491, 16360, 2255, 31863, 1436, 15405, 825, 2203, 14491, 20573, 1619, 263, 279, 267, 11852, 8782, 516, 1663, 29125, 825, 2203, 14491, 20573, 1886, 719, 263, 271, 269, 273, 4917, 825, 1948, 17006, 519, 3977, 4494, 454, 825, 1948, 634, 11852, 585, 519, 3977, 4494, 568, 2141, 1305, 547, 521, 31451, 1599, 538, 713, 3635, 8400, 454, 825, 2203, 14491, 20573, 1619, 16325, 9078, 8475, 5332, 3941, 267, 11852, 8782, 7809, 10946, 10807, 2020, 825, 2203, 27904, 4424, 10797, 825, 2132, 2203, 7531, 258, 20223, 519, 476, 273, 526, 6189, 454, 3698, 8849, 31200, 273, 16325, 17750, 5332, 3941, 284, 27005, 267, 1003, 9078, 8475, 5332, 3941, 284, 275, 17107, 825, 2203, 815, 14938, 1113, 4590, 825, 1948, 17006, 519, 1101, 6456, 4494, 609, 476, 276, 265, 27161, 266, 276, 11409, 454, 825, 2203, 14491, 20573, 1619, 16325, 17750, 5332, 3941, 267, 11852, 8782, 516, 1663, 3299, 3403, 318, 27729, 14352, 11133, 17750, 5332, 3941, 267, 21875, 825, 2203, 14491, 20573, 1886, 719, 263, 271, 269, 273, 4917, 825, 1948, 5410, 519, 6967, 6456, 6106, 454, 825, 2203, 14491, 16360, 2255, 31863, 1436, 15405, 825, 2203, 14491, 20573, 1619, 263, 5038, 267, 11852, 8782, 516, 1663, 29125, 825, 2203, 14491, 20573, 1886, 719, 263, 271, 269, 273, 4917, 825, 2203, 14491, 16360, 2255, 31863, 1436, 15405, 825, 2203, 14491, 20573, 1619, 263, 1626, 267, 11852, 8782, 516, 1663, 29125, 825, 2203, 14491, 20573, 1886, 719, 263, 271 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 476, 274, 3910, 476, 273, 281, 1496, 272, 267, 476, 274, 3910, 476, 274, 281, 1496, 272, 267, 476, 273, 316, 8679, 825, 21188, 4351, 269, 23092, 263, 272, 994, 825, 21188, 4351, 14682, 1429, 263, 275, 267, 476, 271, 269, 276, 267, 6936, 994, 825, 2715, 271, 281, 1496, 272, 3910, 476, 272, 281, 1496, 273, 267, 476, 274, 3910, 476, 273, 281, 1496, 274, 3910, 476, 274, 281, 32582, 8679, 825, 8173, 825, 3113, 281, 9598, 815, 2715, 328, 281, 32582, 585, 1775, 538, 2039, 263, 3200, 1182, 20311, 264, 10926, 825, 1948, 952, 5506, 568, 3152, 610, 3160, 982, 476, 272, 267, 1287, 5352, 513, 2347, 3113, 454, 825, 952, 5506, 13843, 476, 272, 912, 1038, 2132, 2347, 14682, 1429, 263, 3200, 1182, 20311, 994, 825, 1948, 952, 5506, 568, 2539, 610, 3160, 982, 476, 271, 267, 1287, 2132, 513, 3113, 1510, 8728, 454, 825, 952, 5506, 10922, 476, 271, 912, 1038, 2132, 3113, 692, 825, 1948, 585, 1142, 7008, 540, 9136, 267, 1039, 606, 6316, 689, 579, 547, 642, 454, 825, 1948, 952, 519, 1297, 14477, 6383, 568, 3152, 982, 5506, 5506, 454, 825, 585, 1775, 538, 2039, 263, 3200, 1182, 20311, 2187, 1038, 585, 795, 538, 2039, 9217, 1341, 476, 272, 267, 14622, 20311, 2187, 2018, 952, 4351, 20179, 3890, 2999, 5506, 912, 3546, 3113, 5157, 4940, 6572, 27203, 994, 3546, 952, 711, 9859, 912, 7386, 1948, 952, 519, 3113, 568, 3768, 20526, 267, 1039, 606, 6316, 538, 689, 795, 547, 1775, 267, 2901, 454, 7386, 3113, 14728, 4940, 6572, 9217, 994, 825, 2132, 3113, 7531, 3698, 2347, 14682, 1429, 263, 3200, 1182, 20311, 281, 703, 264, 9847, 9598, 912, 825, 8173, 825, 2637, 4733, 513, 2347, 3113, 609, 14622, 20311, 14622, 563, 825, 7711, 6358, 281, 14622, 20311, 630, 15893, 540, 14622, 13211, 2018, 9859, 630, 16178, 952, 519, 3113, 568, 3768, 20526, 267, 6936, 6382, 994, 825, 7711, 9987, 912, 825, 21188, 2347, 14682, 1429, 263, 274, 994, 825, 2715, 271, 281, 1496, 272, 267, 476, 273, 3910, 476, 272, 281, 1496, 271, 267, 476, 273, 3910, 476, 273, 281, 1496, 271, 267, 476, 272, 316, 8679, 825, 8173, 825, 2132, 13634, 1038, 1775, 281, 1496, 329, 585, 795, 538, 2039, 263, 3200, 1182, 20311, 264, 952, 1775, 11203, 795, 316, 585, 1775, 538, 2039, 263, 3200, 1182, 20311, 994, 825, 7684, 7531, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1104, 11705, 652, 692, 825, 11705, 652, 6745, 652, 7116, 4590, 0, 5814, 2979, 24653, 5035, 8641, 6769, 825, 1219, 6449, 8181, 9191, 1345, 267, 562, 284, 271, 2567, 476, 1948, 513, 3113, 609, 19219, 476, 271, 267, 272, 267, 24222, 301, 268, 272, 1477, 1038, 1582, 8542, 815, 562, 1477, 1038, 1582, 9884, 815, 1496, 1477, 2018, 1496, 4118, 269, 8882, 585, 795, 538, 2039, 3799, 13580, 585, 1775, 538, 2039, 3799, 3418, 1038, 9948, 476, 1948, 7755, 659, 1890, 5119, 585, 2597, 1477, 1038, 1582, 6155, 335, 815, 1496, 1477, 2018, 1496, 4118, 269, 8882, 585, 795, 538, 2039, 3799, 13580, 585, 1775, 538, 2039, 3799, 3418, 1038, 9948, 476, 1948, 31185, 5157, 6012, 329, 316, 8637, 5934, 3845, 689, 1775, 547, 795, 5897, 825, 1219, 1039, 318, 8354, 4311, 267, 579, 267, 642, 267, 530, 8029, 1038, 1582, 6155, 335, 314, 340, 6012, 341, 316, 815, 530, 5897, 825, 1219, 1166, 20477, 16062, 6702, 718, 4311, 8029, 1038, 585, 737, 538, 2039, 4311, 8542, 8029, 2018, 585, 1775, 538, 2039, 4311, 8542, 8029, 3546, 585, 795, 538, 2039, 4311, 8542, 8029, 7386, 1582, 6155, 335, 5157, 6012, 329, 316, 815, 1295, 4311, 6155, 335, 5157, 6012, 329, 3910, 1582, 6155, 335, 5157, 6012, 330, 316, 1341, 1582, 6155, 335, 25208, 6012, 329, 316, 10142, 825, 1219, 1397, 28804, 4311, 267, 579, 267, 642, 8029, 1038, 2132, 1582, 6155, 335, 314, 340, 6012, 341, 316, 24653, 604, 6449, 4067, 1029, 2652, 26242, 10852, 1029, 257, 6769, 825, 3113, 815, 8641, 263, 276, 3418, 825, 3113, 14491, 318, 8354, 263, 271, 267, 476, 273, 267, 476, 280, 3418, 825, 3113, 14491, 318, 8354, 263, 271, 267, 476, 275, 267, 476, 1015, 3418, 825, 3113, 14491, 318, 8354, 263, 272, 267, 476, 274, 267, 476, 276, 3418, 825, 3113, 14491, 318, 8354, 263, 273, 267, 476, 274, 267, 476, 278, 3418, 825, 3113, 14491, 318, 8354, 263, 274, 267, 476, 271, 267, 476, 1015, 3418, 825, 3113, 14491, 318, 8354, 263, 274, 267, 476, 272, 267, 476, 273, 3418, 825, 3113, 14491, 318, 8354, 263, 274, 267, 476, 273, 267, 476, 272, 3418, 825, 3113, 14491, 318, 8354, 263, 274, 267, 476, 275, 267, 476, 277, 3418, 825, 3113, 14491, 318, 8354, 263, 275, 267, 476, 272, 267, 476, 274, 3418, 825, 3113, 14491, 318, 8354, 263, 275, 267, 476, 273, 267, 476, 275, 3418, 825, 3113, 14491, 318, 8354, 263, 275, 267, 476, 274, 267, 476, 280, 3418, 825, 3113, 269, 4148, 20477, 16062, 6702, 718, 14052, 825, 3113, 20481, 28804, 263, 272, 267, 476, 275, 3418, 825, 3113, 20481, 28804, 263, 271, 267, 476, 274, 3418, 0, 12163, 19370, 476, 7761, 25478, 8454, 281, 4179, 2517, 2889, 915, 324, 17526, 14492, 24579, 12378, 284, 7761, 692, 20373, 1384, 13706, 519, 6824, 267, 562, 7933, 267, 1141, 562, 543, 546, 616, 2318, 9981, 269, 1403, 562, 283, 323, 543, 670, 20003, 3799, 28504, 6661, 272, 2676, 527, 568, 1572, 513, 4389, 1697, 6824, 563, 2252, 649, 1592, 519, 1305, 540, 4389, 1697, 8454, 585, 546, 18016, 476, 279, 538, 26799, 1931, 540, 2450, 267, 649, 454, 1326, 281, 476, 272, 270, 279, 267, 476, 272, 270, 278, 267, 476, 272, 270, 277, 267, 476, 272, 270, 276, 267, 476, 272, 270, 275, 267, 476, 273, 270, 278, 267, 476, 272, 270, 274, 267, 476, 274, 270, 279, 267, 476, 273, 270, 276, 267, 476, 274, 270, 278, 267, 476, 272, 270, 273, 267, 476, 275, 270, 278, 267, 476, 274, 270, 276, 267, 476, 276, 270, 279, 267, 476, 273, 270, 274, 267, 476, 276, 270, 278, 2676, 274, 270, 275, 267, 476, 275, 270, 276, 267, 476, 276, 270, 277, 267, 476, 277, 270, 278, 267, 476, 278, 270, 279, 454, 2005, 666, 581, 2938, 602, 972, 616, 476, 2641, 2609, 538, 713, 1305, 563, 1692, 1082, 2609, 1131, 581, 8659, 538, 519, 1305, 540, 4389, 1697, 8454, 585, 454, 323, 18016, 476, 272, 267, 1822, 267, 1822, 2496, 11405, 1384, 10831, 540, 2338, 1063, 476, 272, 543, 562, 602, 616, 2941, 31870, 547, 562, 568, 2016, 676, 519, 25586, 781, 570, 582, 1304, 454, 10818, 267, 943, 328, 3799, 1040, 1924, 267, 519, 2626, 568, 3274, 519, 2040, 540, 943, 328, 3799, 264, 585, 476, 273, 10922, 562, 10922, 476, 272, 267, 1822, 267, 1822, 454, 11764, 540, 943, 328, 5560, 1070, 585, 782, 546, 347, 333, 815, 562, 269, 901, 1267, 666, 581, 1031, 547, 1265, 943, 328, 3799, 264, 1210, 513, 521, 10079, 780, 11742, 281, 476, 272, 3813, 454, 20701, 454, 3698, 3070, 263, 3916, 527, 281, 703, 815, 476, 272, 318, 1822, 318, 1822, 264, 9847, 703, 912, 825, 8173, 825, 16849, 606, 8870, 267, 519, 3070, 547, 519, 1966, 454, 825, 21188, 3070, 263, 1015, 994, 825, 476, 4029, 454, 825, 21188, 3070, 263, 1911, 994, 825, 476, 19054, 274, 454, 825, 21188, 3070, 263, 272, 318, 1822, 994, 825, 476, 19054, 4489, 454, 825, 29185, 825, 943, 328, 815, 1496, 328, 910, 476, 272, 585, 1775, 538, 2039, 263, 3916, 527, 1341, 476, 272, 264, 6540, 825, 585, 1775, 538, 2039, 263, 273, 267, 3970, 1341, 476, 272, 2187, 1038, 952, 943, 328, 5157, 316, 2652, 1775, 910, 476, 272, 912, 2018, 585, 795, 538, 2039, 263, 273, 2608, 1775, 267, 3970, 1341, 476, 272, 267, 1775, 2187, 3546, 943, 328, 14728, 316, 20699, 943, 328, 14728, 316, 12262, 1775, 692, 825, 2132, 2040, 263, 12978, 314, 273, 2433, 3970, 1341, 476, 272, 316, 9239, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1820, 4433, 1828, 15405, 0, 12163, 19061, 25586, 9046, 476, 272, 281, 4179, 2517, 2889, 915, 324, 17526, 14492, 24579, 12378, 284, 272, 692, 25648, 1255, 540, 476, 274, 543, 476, 276, 692, 2252, 649, 1592, 782, 519, 2067, 2338, 2630, 476, 1015, 602, 616, 23385, 540, 476, 274, 610, 476, 276, 2676, 933, 1205, 476, 274, 267, 476, 276, 267, 476, 277, 543, 476, 280, 269, 634, 2040, 540, 891, 23385, 568, 476, 2537, 780, 8340, 519, 2040, 540, 782, 519, 23385, 540, 476, 274, 610, 476, 276, 2630, 476, 1911, 271, 563, 20701, 454, 3698, 3070, 3799, 281, 703, 815, 476, 1911, 271, 264, 9847, 703, 912, 825, 8173, 825, 901, 3070, 568, 1759, 593, 519, 4806, 602, 519, 20422, 2338, 538, 519, 454, 825, 3126, 1246, 281, 476, 271, 266, 274, 267, 266, 273, 267, 266, 272, 267, 266, 274, 267, 266, 272, 267, 266, 273, 267, 266, 274, 563, 825, 16849, 519, 2040, 540, 782, 519, 23385, 540, 476, 274, 610, 476, 276, 2630, 562, 780, 825, 21188, 3070, 263, 274, 994, 825, 476, 271, 454, 825, 21188, 3070, 263, 275, 994, 825, 476, 274, 454, 825, 21188, 3070, 263, 1015, 994, 825, 476, 2537, 454, 825, 21188, 3070, 263, 7785, 994, 825, 476, 279, 4391, 876, 454, 825, 29185, 825, 2698, 815, 476, 271, 454, 825, 1003, 815, 476, 271, 454, 825, 1247, 476, 272, 912, 1038, 1003, 6834, 476, 274, 454, 1038, 952, 1003, 13843, 562, 912, 2018, 2736, 454, 1038, 2698, 6834, 1003, 454, 1038, 1003, 6834, 476, 273, 454, 1038, 952, 1003, 13843, 562, 912, 2018, 2736, 454, 1038, 2698, 6834, 1003, 454, 1038, 1003, 6834, 476, 272, 454, 1038, 952, 1003, 13843, 562, 912, 2018, 2736, 454, 1038, 2698, 6834, 1003, 454, 1038, 1003, 6834, 476, 274, 454, 1038, 952, 1003, 13843, 562, 912, 2018, 2736, 454, 1038, 2698, 6834, 1003, 454, 1038, 1003, 6834, 476, 272, 454, 1038, 952, 1003, 13843, 562, 912, 2018, 2736, 454, 1038, 2698, 6834, 1003, 454, 1038, 1003, 6834, 476, 273, 454, 1038, 952, 1003, 13843, 562, 912, 2018, 2736, 454, 1038, 2698, 6834, 1003, 454, 1038, 1003, 6834, 476, 274, 454, 1038, 952, 1003, 13843, 562, 912, 2018, 2736, 454, 1038, 2698, 6834, 1003, 454, 825, 2132, 2698, 7531, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1820, 6600, 257, 346, 338, 1828, 3890, 815, 7684, 5602, 0, 12163, 310, 1511, 2280, 3529, 568, 513, 1239, 3613, 4450, 2966, 547, 7561, 2626, 1585, 2039, 14511, 454, 1721, 14249, 269, 23027, 7410, 4054, 616, 1114, 689, 824, 9352, 4054, 538, 519, 2631, 602, 454, 1492, 9136, 616, 8237, 1759, 593, 519, 4890, 2418, 540, 519, 2609, 543, 711, 593, 17523, 2676, 7945, 607, 519, 609, 10126, 4054, 610, 535, 523, 19213, 4054, 269, 1411, 666, 1224, 811, 827, 873, 1934, 912, 272, 269, 4179, 2517, 22852, 6155, 764, 269, 1276, 850, 17085, 270, 349, 329, 335, 699, 345, 9706, 3639, 270, 1470, 6625, 325, 1626, 15005, 454, 273, 269, 4179, 2517, 4178, 28938, 2593, 11320, 2255, 286, 341, 284, 275, 320, 306, 341, 280, 303, 576, 322, 291, 342, 261, 339, 284, 279, 1556, 338, 454, 274, 269, 4179, 2517, 4178, 28938, 2593, 11320, 2255, 286, 341, 284, 24426, 321, 13070, 309, 293, 5336, 18250, 261, 339, 284, 14056, 279, 338, 454, 12163, 5228, 6449, 325, 1956, 1029, 1104, 14391, 725, 692, 11687, 24512, 815, 1496, 273, 267, 476, 272, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 271, 267, 476, 279, 267, 476, 280, 267, 476, 272, 267, 476, 273, 267, 476, 271, 267, 476, 277, 267, 476, 275, 267, 476, 273, 267, 476, 271, 267, 476, 277, 267, 476, 276, 267, 476, 274, 267, 476, 273, 267, 476, 278, 6540, 454, 5035, 19219, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 3259, 281, 703, 264, 9847, 7183, 912, 1038, 1582, 269, 2381, 333, 281, 703, 815, 910, 272, 454, 1038, 1582, 27982, 343, 281, 703, 815, 910, 272, 454, 1038, 1582, 6230, 777, 318, 3847, 281, 1592, 27776, 316, 815, 30585, 272, 316, 2608, 3259, 454, 1038, 1582, 16000, 281, 19219, 1923, 7183, 815, 7183, 454, 1038, 1582, 16192, 281, 19219, 1923, 7183, 815, 7183, 692, 825, 1219, 6449, 516, 1440, 9191, 1345, 264, 9847, 1193, 912, 1038, 8173, 1038, 21188, 6843, 815, 19219, 10857, 2654, 284, 2767, 994, 1038, 21188, 1065, 337, 27316, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1133, 17569, 539, 12474, 1548, 568, 519, 3483, 540, 713, 3561, 286, 1677, 2333, 2875, 9740, 676, 4180, 7855, 1174, 4481, 1018, 519, 1007, 4441, 1611, 513, 2875, 692, 2162, 14674, 607, 513, 6404, 1297, 1141, 519, 15561, 568, 15738, 547, 593, 519, 1297, 1899, 269, 11512, 875, 519, 3490, 476, 1015, 1062, 12211, 547, 1747, 1871, 780, 10831, 16544, 543, 15051, 19940, 1297, 2631, 543, 1840, 543, 12408, 616, 1883, 2035, 543, 1983, 2919, 538, 2038, 6689, 269, 4841, 1628, 593, 741, 1297, 2631, 543, 10203, 2631, 547, 1020, 692, 2162, 476, 274, 678, 323, 476, 276, 555, 6103, 4569, 11759, 15099, 17555, 31780, 3427, 692, 274, 678, 323, 476, 276, 555, 6103, 4569, 11759, 15099, 17555, 31780, 3427, 3776, 4295, 2979, 6437, 568, 1152, 607, 2178, 543, 6325, 607, 922, 6388, 269, 23496, 519, 3853, 540, 938, 6437, 616, 1558, 538, 1142, 4928, 10484, 2162, 6103, 476, 276, 5871, 11759, 3557, 9208, 692, 273, 269, 272, 269, 276, 11065, 269, 272, 15233, 1747, 1871, 2035, 547, 1397, 606, 1620, 540, 4238, 543, 24263, 607, 789, 829, 1555, 547, 2898, 2338, 543, 17447, 269, 631, 4962, 6993, 6874, 269, 272, 269, 272, 269, 272, 23227, 622, 606, 1620, 602, 476, 276, 12991, 6630, 269, 272, 25506, 692, 2162, 12601, 28475, 667, 17751, 2910, 7419, 4811, 595, 3201, 21715, 2752, 13878, 295, 476, 1220, 276, 17047, 547, 692, 14110, 28475, 667, 17751, 2910, 7419, 4811, 595, 3201, 21715, 2752, 13878, 295, 476, 1220, 276, 17047, 547, 13325, 9119, 10495, 17563, 24110, 476, 274, 268, 276, 661, 667, 772, 595, 589, 570, 594, 744, 715, 717, 681, 744, 772, 623, 589, 670, 32080, 631, 858, 4802, 7577, 22400, 14889, 299, 2562, 302, 3041, 24321, 2969, 590, 21788, 4753, 29187, 305, 2464, 7728, 288, 30888, 2464, 1384, 2162, 9119, 2480, 2100, 543, 25627, 267, 918, 268, 279, 692, 24092, 476, 272, 281, 7089, 543, 20491, 25779, 476, 272, 269, 272, 281, 13760, 338, 543, 3096, 2338, 630, 15893, 2631, 264, 9119, 2480, 2100, 543, 25627, 267, 918, 268, 279, 6103, 25478, 3367, 267, 3503, 267, 11352, 267, 14424, 9255, 10025, 14559, 7089, 7869, 918, 4032, 692, 2162, 18938, 9119, 23840, 6651, 6103, 476, 276, 476, 1001, 273, 476, 1001, 274, 269, 3689, 27607, 1284, 4060, 692, 5575, 27607, 1284, 4060, 521, 634, 1871, 540, 513, 7857, 568, 1759, 593, 922, 1747, 1871, 269, 1548, 2242, 519, 1871, 540, 513, 7857, 286, 476, 276, 12991, 6630, 269, 272, 23414, 8104, 301, 22003, 292, 602, 538, 513, 3818, 18251, 1297, 267, 513, 7857, 538, 835, 1747, 4564, 476, 1015, 2053, 607, 1454, 692, 2162, 18833, 543, 4635, 7089, 12700, 692, 31535, 543, 4635, 7089, 12700, 2422, 1702, 540, 1747, 1871, 543, 2422, 1702, 540, 1747, 1871, 543, 1840, 543, 12408, 540, 1079, 18251, 8691, 5013, 547, 476, 1015, 476, 1015, 547, 2338, 547, 17589, 18304, 543, 17589, 692, 2162, 8419, 4972, 540, 4065, 270, 19423, 823, 540, 10495, 5130, 6103, 476, 274, 674, 290, 2969, 476, 273, 269, 271, 9119, 19793, 22777, 5426, 2677, 18587, 692, 293, 3271, 5866, 4972, 540, 4065, 270, 19423, 823, 540, 10495, 5130, 476, 1001, 273, 6103, 476, 274, 674, 290, 2969, 476, 273, 269, 271, 9119, 19793, 22777, 5426, 2677, 18587, 6103, 476, 274, 674, 290, 2969, 476, 273, 269, 271, 9119, 27561, 21145, 7089, 281, 15051, 267, 10819, 10484, 2162, 476, 276, 628, 6103, 910, 3848, 476, 272, 910, 9255, 10025, 692, 276, 628, 6103, 910, 3848, 476, 272, 910, 9255, 10025, 543, 15051, 538, 12476, 14210, 476, 1321, 2395, 1341, 476, 272, 1554, 5484, 577, 5658, 1948, 272, 4569, 5484, 577, 5658, 1948, 272, 9255, 10025, 3414, 14424, 543, 11352, 7085, 687, 19940, 7089, 11314, 3414, 7085, 687, 7844, 692, 2162, 5564, 28745, 17773, 676, 513, 19940, 7089, 692, 22706, 476, 275, 9119, 267, 22588, 476, 274, 267, 5149, 476, 274, 269, 272, 5564, 28745, 17773, 676, 513, 19940, 7089, 11137, 7089, 540, 19019, 531, 17963, 281, 476, 1428, 630, 272, 1554, 815, 476, 3393, 476, 2568, 3764, 264, 12474, 547, 581, 3231, 2740, 15233, 1620, 540, 4238, 692, 2162, 5729, 476, 272, 13174, 21673, 725, 692, 307, 1307, 23959, 594, 666, 1293, 538, 476, 273, 521, 267, 476, 276, 521, 543, 476, 1015, 521, 689, 4642, 269, 5729, 476, 272, 13174, 21673, 725, 18827, 594, 917, 1250, 1297, 5013, 547, 476, 736, 269, 594, 666, 1039, 538, 9937, 543, 3283, 1210, 513, 11295, 1297, 1899, 269, 25513, 594, 917, 782, 692, 2162, 13325, 3557, 11621, 1325, 793, 906, 24110, 8422, 998, 18479, 1597, 692, 26877, 12437, 3557, 11621, 1325, 793, 906, 24110, 8422, 998, 18479, 1597, 570, 2784, 655, 1046, 540, 11193, 4804, 267, 5549, 1421, 543, 922, 13564, 25808, 267, 10805, 267, 1455, 1876, 267, 610, 533, 2056, 14261, 538, 519, 2136, 2276, 543, 824, 692, 2162, 681, 3951, 8464, 1063, 476, 4489, 543, 476, 1220, 692, 9288, 9778, 540, 14288, 18776, 585, 9119, 681, 3951, 8464, 1063, 476, 4489, 543, 476, 1220, 7089, 23281, 543, 15051, 19940, 10606, 16534, 2241, 1840, 2262, 2042, 4855, 543, 8831, 3270, 23227, 622, 519, 1997, 894, 10484, 2162, 9119, 8419, 11621, 630, 7246, 12396, 264, 6103, 476, 276, 692, 12385, 24136, 8419, 11621, 630, 7246, 12396, 264, 6103, 476, 276, 23792, 281, 20525, 2207, 25972, 6730, 9338, 12283, 289, 6938, 2975, 8946, 2562, 32578, 1849, 13831, 476, 272, 281, 3503, 543, 4612, 10230, 7215, 269, 630, 21206, 1849, 13831, 264, 2910, 14701, 10790, 12396, 269, 276, 20166, 288, 269, 272, 269, 272, 2422, 24324, 267, 23049, 10484, 32098, 853, 8681, 281, 7089, 543, 6613, 3130, 13760, 519, 6399, 902, 267, 21964, 267, 543, 11724, 725, 540, 10606, 13760, 4982, 20884, 18780, 585, 10606, 13760, 5871, 31592, 9534, 9255, 1871, 543, 10035, 692, 2162, 5426, 476, 274, 786, 3622, 692, 22706, 476, 274, 674, 290, 2969, 476, 273, 269, 271, 9119, 19793, 22777, 5426, 2677, 18587, 676, 5431, 543, 5924, 4194, 513, 1966, 5473, 606, 6697, 6041, 540, 606, 3830, 610, 4082, 676, 7311, 1297, 3601, 267, 1519, 692, 2162, 476, 275, 628, 6103, 4569, 18500, 8249, 692, 275, 628, 6103, 4569, 18500, 8249, 476, 275, 628, 6103, 4569, 18500, 8249, 3568, 1079, 2200, 547, 3895, 2875, 7115, 267, 1020, 2979, 6863, 267, 543, 1489, 2542, 543, 1603, 538, 6128, 780, 2162, 5410, 543, 10208, 476, 272, 18251, 543, 476, 273, 18251, 2338, 547, 476, 736, 267, 1519, 4642, 269, 12763, 543, 2253, 547, 2594, 3259, 267, 2527, 267, 4320, 543, 942, 692, 17413, 476, 272, 13174, 910, 6206, 20505, 4032, 547, 543, 2066, 476, 1911, 689, 1022, 1297, 4032, 267, 1224, 543, 2328, 2338, 547, 476, 1911, 538, 27766, 3367, 543, 2328, 6310, 6698, 281, 1341, 267, 910, 543, 815, 10576, 834, 821, 811, 257, 543, 834, 821, 1447, 5016, 2162, 13878, 9391, 700, 14110, 5085, 23370, 31304, 8976, 27633, 692, 21316, 9391, 700, 14110, 5085, 23370, 31304, 8976, 27633, 7089, 5426, 476, 274, 13760, 519, 1747, 1871, 540, 2338, 909, 547, 5215, 269, 11352, 2338, 909, 547, 476, 15886, 280, 269, 18471, 2338, 547, 519, 14282, 476, 1015, 610, 476, 1911, 269, 13760, 519, 1297, 1899, 2630, 4642, 267, 543, 692, 2162, 3367, 543, 2328, 2338, 547, 693, 2547, 476, 1911, 271, 538, 27766, 543, 538, 1913, 780, 17413, 476, 272, 5729, 476, 273, 5729, 476, 274, 7089, 267, 1747, 1871, 267, 24263, 267, 19406, 543, 16759, 4032, 547, 543, 2066, 476, 1911, 267, 585, 2072, 543, 23651, 267, 4098, 609, 476, 271, 610, 476, 272, 267, 610, 689, 1022, 2016, 1297, 269, 4032, 267, 1224, 543, 2328, 692, 2162, 23990, 1305, 540, 3268, 1031, 547, 4194, 513, 6310, 19106, 269, 9351, 634, 1297, 540, 4009, 4559, 602, 6227, 513, 3337, 610, 4137, 692, 293, 604, 628, 6103, 18938, 4569, 18500, 6478, 5903, 2608, 24404, 916, 609, 606, 14531, 7416, 616, 5921, 585, 4116, 1702, 1152, 1053, 991, 547, 1451, 519, 1523, 855, 711, 8209, 519, 2165, 269, 5410, 754, 7102, 1297, 1373, 3773, 23990, 692, 2162, 6103, 476, 276, 4569, 13698, 11759, 11621, 910, 16671, 269, 273, 281, 13698, 11759, 281, 9119, 269, 4432, 580, 1043, 12474, 692, 22706, 476, 276, 4569, 13698, 11759, 11621, 910, 16671, 269, 273, 281, 13698, 11759, 281, 9119, 4432, 580, 1043, 12474, 9208, 9351, 910, 16671, 269, 273, 269, 272, 281, 10606, 543, 15051, 9208, 910, 16671, 269, 273, 269, 272, 269, 276, 11065, 269, 272, 281, 15233, 1747, 1871, 547, 1397, 606, 1620, 540, 4238, 692, 2162, 9119, 15099, 17563, 692, 272, 24199, 623, 17803, 21850, 2894, 3582, 3201, 14877, 700, 9128, 307, 19154, 3198, 298, 476, 273, 5246, 10972, 665, 3150, 540, 8402, 6807, 4340, 547, 14362, 543, 11621, 585, 3427, 689, 519, 2817, 7027, 540, 11334, 540, 267, 1007, 1702, 267, 2645, 267, 543, 2081, 540, 3257, 543, 14379, 0, 258, 2836, 322, 1966, 630, 19327, 540, 4164, 13011, 14258, 2020, 2971, 621, 345, 11253, 692, 5632, 322, 476, 273, 1966, 630, 19327, 3808, 676, 4164, 13011, 552, 336, 24355, 296, 6415, 2348, 513, 1966, 609, 713, 2243, 912, 8340, 519, 1858, 22112, 676, 519, 7455, 3230, 343, 284, 6523, 346, 339, 4153, 586, 284, 552, 317, 339, 2330, 2676, 2330, 271, 315, 28254, 512, 315, 19008, 19570, 270, 273, 315, 2330, 2676, 663, 519, 3515, 3230, 344, 284, 272, 315, 1535, 284, 271, 9681, 1862, 594, 3357, 909, 609, 6695, 842, 552, 317, 339, 8987, 7562, 346, 339, 16585, 19049, 2330, 689, 3230, 271, 29540, 19570, 270, 273, 9681, 8310, 12995, 912, 16665, 13823, 2563, 8212, 14581, 5240, 593, 4284, 3820, 692, 2971, 5923, 1042, 345, 692, 339, 787, 547, 2328, 512, 538, 2474, 540, 1535, 543, 1287, 5372, 512, 609, 1018, 596, 723, 1336, 538, 519, 824, 3830, 13718, 2971, 621, 345, 11253, 692, 1432, 1775, 1705, 729, 1775, 1031, 519, 4542, 3230, 22704, 284, 1422, 842, 535, 6025, 264, 326, 21948, 339, 264, 19049, 2330, 543, 726, 28289, 538, 3230, 325, 6025, 264, 815, 552, 317, 339, 315, 575, 21948, 339, 264, 815, 910, 338, 842, 2330, 2676, 6518, 568, 875, 1775, 3357, 547, 519, 713, 281, 6695, 842, 552, 317, 339, 8987, 7562, 346, 339, 16585, 19049, 16465, 5976, 513, 3808, 540, 3230, 271, 29540, 19570, 270, 273, 9681, 7212, 594, 6415, 15475, 547, 1376, 540, 676, 454, 272, 269, 15603, 519, 9351, 3230, 284, 1422, 842, 630, 344, 268, 272, 264, 11459, 16465, 5976, 513, 3808, 540, 3230, 271, 29540, 272, 2330, 2676, 273, 269, 1656, 1287, 602, 1131, 3160, 547, 6695, 842, 630, 324, 317, 339, 910, 476, 272, 7565, 268, 338, 842, 264, 19049, 315, 16465, 5976, 513, 3808, 540, 6695, 7032, 270, 273, 29540, 476, 271, 16465, 274, 269, 6904, 1131, 1267, 538, 6695, 842, 552, 317, 339, 521, 842, 910, 521, 842, 24303, 16465, 5976, 513, 3808, 3230, 271, 29540, 19570, 270, 273, 9681, 296, 1810, 1405, 1205, 875, 519, 7533, 538, 476, 272, 269, 729, 6603, 610, 1946, 23451, 941, 4957, 538, 1142, 1900, 2807, 1022, 948, 1131, 581, 15874, 692, 2971, 30443, 4148, 584, 325, 692, 29094, 4477, 704, 454, 6308, 11253, 1767, 912, 1432, 1775, 1705, 729, 1775, 1031, 519, 4542, 3230, 22704, 284, 1422, 842, 535, 6025, 264, 326, 21948, 339, 264, 19049, 2330, 543, 726, 28289, 538, 3230, 325, 6025, 264, 815, 552, 317, 339, 315, 575, 21948, 339, 264, 815, 910, 338, 842, 2330, 2676, 6518, 568, 875, 1775, 3357, 547, 519, 713, 281, 6695, 842, 552, 317, 339, 8987, 7562, 346, 339, 16585, 19049, 16465, 5976, 513, 3808, 540, 3230, 271, 29540, 19570, 270, 273, 9681, 7212, 594, 6415, 15475, 547, 1376, 540, 676, 454, 272, 269, 15603, 519, 9351, 3230, 284, 1422, 842, 630, 344, 268, 272, 264, 11459, 16465, 5976, 513, 3808, 540, 3230, 271, 29540, 272, 2330, 2676, 273, 269, 1656, 1287, 602, 1131, 3160, 547, 6695, 842, 630, 324, 317, 339, 910, 476, 272, 7565, 268, 338, 842, 264, 19049, 315, 16465, 5976, 513, 3808, 540, 6695, 7032, 270, 273, 29540, 476, 271, 16465, 274, 269, 6904, 1131, 1267, 538, 6695, 842, 552, 317, 339, 521, 842, 910, 521, 842, 24303, 16465, 5976, 513, 3808, 3230, 271, 29540, 19570, 270, 273, 9681, 296, 1810, 1405, 1205, 875, 519, 7533, 538, 476, 272, 269, 729, 6603, 610, 1946, 23451, 941, 4957, 538, 1142, 1900, 2807, 1022, 948, 1131, 581, 15874, 454, 296, 1589, 519, 4164, 13011, 4834, 616, 18530, 596, 540, 1589, 1394, 547, 950, 596, 1101, 1705, 1858, 2042, 269, 6056, 540, 586, 3287 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7917, 12448, 338, 20800, 2747, 267, 621, 666, 581, 3254, 602, 692, 4467, 14658, 513, 17070, 329, 513, 10606, 552, 815, 552, 630, 6523, 327, 536, 1341, 795, 5609, 327, 536, 264, 32680, 10606, 692, 306, 5902, 268, 13216, 10606, 692, 24058, 1944, 9050, 268, 667, 7645, 5080, 5865, 5890, 9426, 2747, 1299, 8298, 15162, 916, 692, 300, 9508, 268, 13216, 10606, 4635, 13177, 3126, 538, 519, 1482, 1259, 649, 2919, 1950, 7917, 12448, 338, 20800, 2747, 267, 621, 666, 581, 3254, 602, 692, 4467, 14658, 513, 17070, 329, 513, 10606, 552, 815, 552, 630, 6523, 327, 536, 1341, 795, 5609, 327, 536, 264, 32680, 10606, 3245, 713, 267, 649, 666, 1305, 909, 513, 1062, 540, 4834, 547, 9305, 590, 5902, 268, 513, 17070, 329, 13216, 1535, 1341, 586, 329, 547, 552, 2073, 1141, 513, 1341, 536, 329, 815, 2845, 630, 343, 1341, 586, 329, 1040, 901, 1062, 568, 10606, 692, 24058, 1944, 513, 17070, 513, 6629, 321, 9050, 268, 552, 1341, 552, 667, 7645, 1535, 815, 5080, 5865, 476, 273, 552, 320, 17070, 6567, 552, 320, 6629, 321, 586, 815, 476, 273, 901, 13071, 721, 3362, 632, 16667, 928, 519, 30233, 2439, 272, 476, 272, 476, 462, 320, 1341, 536, 463, 2845, 630, 320, 1341, 536, 329, 264, 815, 2845, 16733, 320, 1341, 536, 7565, 320, 6567, 536, 4297, 1341, 795, 2845, 476, 273, 476, 273, 513, 6567, 536, 692, 9616, 602, 519, 8237, 1950, 30233, 568, 711, 6806, 269, 1280, 1383, 267, 952, 630, 320, 1341, 536, 7565, 320, 6567, 536, 264, 2999, 476, 271, 267, 649, 786, 1205, 513, 1950, 1297, 538, 938, 2626, 269, 1677, 2057, 713, 267, 649, 786, 1152, 632, 16667, 928, 519, 30233, 540, 513, 1341, 536, 329, 950, 513, 3436, 3193, 630, 321, 267, 6567, 321, 6393, 22091, 9426, 2747, 1299, 8298, 15162, 916, 692, 300, 9508, 268, 13216, 1403, 649, 4194, 713, 1062, 540, 4834, 267, 649, 1205, 10606, 7917, 476, 272, 12448, 338, 513, 815, 2845, 16733, 343, 1341, 586, 7565, 343, 6567, 586, 4297, 476, 273, 13216, 476, 272, 476, 462, 343, 1341, 586, 476, 463, 10606, 536, 815, 2845, 32680, 476, 273, 1535, 6567, 586, 10606, 692, 306, 5902, 268, 13216, 10606, 692, 24058, 1944, 9050, 268, 667, 7645, 5080, 5865, 8074, 602, 519, 8237, 1950, 30233, 568, 711, 6806, 269, 1280, 1383, 267, 952, 630, 320, 1341, 536, 7565, 320, 6567, 536, 264, 2999, 476, 271, 267, 649, 786, 1205, 513, 1950, 1297, 538, 938, 2626, 269, 1677, 2057, 713, 267, 649, 786, 1152, 632, 16667, 928, 519, 30233, 540, 513, 1341, 536, 329, 950, 513, 3436, 3193, 630, 321, 267, 6567, 321, 6393, 22091, 9426, 2747, 1299, 8298, 15162, 916, 692, 300, 9508, 268, 13216, 1403, 649, 4194, 713, 1062, 540, 4834, 267, 649, 1205, 10606, 7917, 476, 272, 12448, 338, 513, 815, 2845, 16733, 343, 1341, 586, 7565, 343, 6567, 586, 4297, 476, 273, 13216, 476, 272, 476, 462, 343, 1341, 586, 476, 463, 10606, 536, 815, 2845, 32680, 476, 273, 1535, 6567, 586, 10606, 590, 5902, 268, 901, 13071, 721, 3362, 632, 16667, 928, 519, 30233, 256, 13216, 10606, 476, 462, 476, 463, 10439, 1944, 476, 272, 476, 272, 513, 1341, 536, 9050, 268, 2845, 630, 320, 1341, 536, 329, 264, 815, 2845, 16733, 320, 1341, 536, 7565, 320, 6567, 536, 4297, 1341, 795, 2845, 667, 7645, 476, 273, 476, 273, 513, 6567, 536, 5080, 5865, 5890, 9426, 2747, 1299, 8298, 15162, 916, 692, 300, 9508, 268, 13216, 1403, 649, 4194, 713, 1062, 540, 4834, 267, 649, 1205, 10606, 7917, 476, 272, 12448, 338, 513, 815, 2845, 16733, 343, 1341, 586, 7565, 343, 6567, 586, 4297, 476, 273, 13216, 476, 272, 476, 462, 343, 1341, 586, 476, 463, 10606, 536, 815, 2845, 32680, 476, 273, 1535, 6567, 586, 10606, 590, 5902, 268, 901, 13071, 721, 3362, 632, 16667, 928, 519, 30233, 256, 13216, 10606, 476, 462, 476, 463, 10439, 1944, 476, 272, 476, 272, 513, 1341, 536, 9050, 268, 2845, 630, 320, 1341, 536, 329, 264, 815, 2845, 16733, 320, 1341, 536, 7565, 320, 6567, 536, 4297, 1341, 795, 2845, 667, 7645, 476, 273, 476, 273, 513, 6567, 536, 5080, 5865, 8074, 602, 519, 8237, 1950, 30233, 568, 711, 6806, 269, 1280, 1383, 267, 952, 630, 320, 1341, 536, 7565, 320, 6567, 536, 264, 2999, 476, 271, 267, 649, 786, 1205, 513, 1950, 1297, 538, 938, 2626, 269, 1677, 2057, 713, 267, 649, 786, 1152, 632, 16667, 928, 519, 30233, 540, 513, 1341, 536, 329, 950, 513, 3436, 3193, 630, 321, 267, 6567, 321, 1040, 546, 476, 462, 476, 463, 476, 273, 524, 266, 323, 329, 513, 1341, 536, 524, 630, 320, 1341, 536, 329, 264, 815, 16733, 320, 1341, 536, 7565, 320, 6567, 536, 4297, 476, 273, 630, 6523, 327, 737, 1341, 795, 5609, 327, 737, 264, 513, 6567, 536, 692, 322, 476, 462, 320, 1341, 536, 463, 546, 737, 815, 2845, 1341, 2845, 513, 273, 6567, 536, 273, 445, 476, 273, 513, 6567, 536, 476, 273, 692, 22091, 9426, 2747, 1299, 8298, 15162, 916, 692, 300, 9508, 268, 13216, 10606, 692, 27144, 12448, 338, 26157, 519, 30233, 609, 20800, 2747, 3490, 552, 2636, 692, 4467, 14658, 721, 547, 1491, 23055, 609, 606, 17062, 3490, 269, 2991, 6266, 540, 10606, 562, 7360, 2979, 267, 649, 666, 632, 16667, 928, 20800, 2747, 607, 32680, 10606, 692, 306, 5902, 268, 13216, 10606, 692, 24058, 1944, 9050, 268, 667, 7645, 5080, 5865, 5890, 9426, 2747, 1299, 8298, 15162, 916, 692, 300, 9508, 268, 13216, 10606, 692, 27144, 12448, 338, 26157, 519, 30233, 609, 20800, 2747, 3490, 552, 2636, 692, 4467, 14658, 721, 547, 1491, 23055, 609, 606, 17062, 3490, 269, 2991, 6266, 540, 10606, 562, 7360, 2979, 267, 649, 666, 632, 16667, 928, 20800, 2747, 607, 32680, 10606, 546, 476, 462, 476, 463, 476, 273, 590, 5902, 268, 524, 266, 323, 329, 513, 1341, 536, 524, 13216, 630, 320, 1341, 536, 329, 264, 815, 16733, 320, 1341, 536, 7565, 320, 6567, 536, 4297, 476, 273, 630, 6523, 327, 737, 1341, 795, 5609, 327, 737, 264, 10606, 513, 6567, 536, 10439, 1944, 9050, 268, 524, 476, 462, 320, 1341, 536, 463, 546, 667, 7645, 737, 815, 2845, 1341, 2845, 513, 273, 6567, 536, 273, 445, 5080, 5865, 476, 273, 513, 6567, 536, 476, 273, 968, 306, 5902, 10687, 14658, 15273, 527, 6473, 814, 4122, 1044, 2938, 607, 513, 22784, 660, 345, 5818, 540, 513, 838, 659, 8135, 7077, 1848, 476, 272, 692, 308, 4513, 540, 590, 5902, 4211, 558, 14658, 10606, 692, 300, 9508, 268, 13216, 10606, 692, 27144, 12448, 338, 692, 4467, 14658, 10606, 692, 291, 783, 590, 5902, 4211, 558, 14658, 2338, 723, 3096, 538, 2433, 10606, 692, 306, 5902, 268, 13216, 10606, 692, 24058, 1944, 9050, 268, 667, 7645, 5080, 5865, 692, 272, 523, 25769, 3820, 28293, 13478, 5902, 10687, 14658, 20311, 21964, 540, 590, 5902, 4211, 558, 14658, 10606, 692, 300, 9508, 268, 13216, 10606, 692, 27144, 12448, 338, 692, 4467, 14658, 10606, 692, 291, 783, 590, 5902, 4211, 558, 14658, 2338, 723, 3096, 538, 6323, 281, 10606, 968, 306, 5902, 10687, 14658, 15273, 527, 6473, 814, 4122, 1044, 2938, 607, 513, 590, 5902, 268, 476, 272, 13216, 22784, 660, 345, 5818, 540, 513, 838, 659, 8135, 7077, 1848, 10606, 692, 24058, 1944, 9050, 268, 667, 7645, 5080, 5865, 692, 300, 9508, 268, 13216, 10606, 692, 27144, 12448, 338, 476, 272, 13216, 10606, 13216, 10606, 692, 291, 783, 10606, 476, 273, 32680, 10606, 692, 306, 5902, 268, 13216, 10606, 476, 274, 590, 5902, 4211, 558, 14658, 10606, 10439, 1944, 9050, 268, 667, 7645, 5080, 5865, 476, 275, 10439, 1944, 9050, 5937, 7645, 5080, 5865, 519, 4611, 7252, 616, 2185, 8820, 2439, 3383, 1548, 568, 3733, 5741, 2496, 300, 9508, 268, 13216, 10606, 692, 27144, 12448, 338, 692, 4467, 14658, 10606, 594, 786, 581, 1603, 513, 1982, 602, 666, 3113, 3252, 540, 891, 32680, 10606, 1019, 23807, 478, 5166, 968, 5471, 320, 10687, 14658, 892, 2338, 269, 1703, 779, 835, 2462, 3390, 590, 5902, 268, 602, 2501, 609, 3257, 713, 281, 13216, 10606, 692, 24058, 1944, 9050, 268, 667, 7645, 5080, 5865, 1924, 1548, 568, 3733, 5741, 2496, 300, 9508, 268, 13216, 10606, 692, 27144, 12448, 338, 692, 4467, 14658, 10606, 594, 786, 581, 1603, 513, 1982, 602, 666, 3113, 3252, 540, 891, 32680, 10606, 1019, 23807, 478, 5166, 968, 5471, 320, 10687, 14658, 892, 2338, 269, 1703, 779, 835, 2462, 3390, 590, 5902, 268, 602, 2501, 609, 3257, 713, 281, 519, 4611, 7252, 616, 13216, 10606, 2185, 8820, 256, 10439, 1944, 9050, 268, 667, 7645, 5080, 5865, 18140, 519, 3977, 10321, 607, 513, 6152, 19509, 15505, 538, 519, 7077, 5741, 519, 2185, 8820, 2627, 883, 476, 274, 1606, 10628, 543, 1450, 2185, 8820, 32186, 547, 581, 1500, 692, 19177, 5937, 7645, 5080, 5865, 692, 300, 9508, 268, 13216, 10606, 692, 27144, 12448, 338, 692, 4467, 14658, 1215, 666, 649, 14650, 2185, 8820, 2164, 286, 1703, 616, 10606, 1896, 3681, 281, 32680, 10606, 10934, 17016, 547, 1019, 23807, 478, 5166, 4778, 538, 681, 16412, 2230, 590, 5902, 268, 13216, 10606, 692, 24058, 1944, 9050, 268, 667, 7645, 5080, 5865, 5741, 519, 2185, 8820, 2627, 883, 476, 274, 1606, 10628, 543, 1450, 2185, 8820, 32186, 547, 581, 1500, 692, 19177, 5937, 7645, 5080, 5865, 692, 300, 9508, 268, 13216, 10606, 692, 27144, 12448, 338, 692, 4467, 14658, 1215, 666, 649, 14650, 2185, 8820, 2164, 286, 1703, 616, 10606, 1896, 3681, 281, 32680, 10606, 10934, 17016, 547, 1019, 23807, 478, 5166, 4778, 538, 681, 16412, 2230, 590, 5902, 268, 13216, 18140, 519, 3977, 10321, 607, 513, 6152, 19509, 15505, 538, 519, 7077, 10606, 692, 24058, 1944, 9050, 268, 667, 7645, 5080, 5865, 9050, 5937, 7645, 5080, 5865, 692, 300, 9508, 268, 13216, 10606, 692, 27144, 12448, 338, 692, 4467, 14658, 1215, 666, 649, 14650, 2185, 8820, 2164, 286, 1703, 616, 10606, 1896, 3681, 281, 32680, 10606, 10934, 17016, 547, 1019, 23807, 478, 5166, 4778, 538, 681, 16412, 2230, 590, 5902, 268, 13216, 18140, 519, 3977, 10321, 607, 513, 6152, 19509, 15505, 538, 519, 7077, 10606, 692, 24058, 1944, 5741, 519, 2185, 8820, 2627, 883, 476, 274, 1606, 10628, 543, 9050, 268, 667, 7645, 1450, 2185, 8820, 32186, 547, 581, 1500, 5080, 5865, 9046, 281, 4778, 3112, 581, 9846, 25735, 593, 1019, 23807, 478, 5166, 13819, 2439, 21760, 631, 1952, 902, 692, 300, 9508, 268, 13216, 10606, 692, 27144, 12448, 338, 692, 4467, 14658, 10606, 692, 291, 783, 10606, 692, 306, 5902, 268, 13216, 10606, 692, 24058, 1944, 9050, 268, 667, 7645, 5080, 5865, 589, 3113, 540, 519, 1950, 1599, 630, 345, 274, 6567, 476, 272, 7565, 345, 6567, 476, 272, 1040, 273, 692, 273, 15862, 689, 8940, 4877, 6680, 339, 2593, 270, 4467, 14658, 293, 17313, 11258, 7822, 631, 1952, 902, 692, 300, 9508, 268, 13216, 10606, 692, 27144, 12448, 338, 692, 4467, 14658, 10606, 692, 291, 783, 10606, 692, 306, 5902, 268, 13216, 10606, 692, 24058, 1944, 9050, 268, 667, 7645, 5080, 5865, 589, 3113, 540, 519, 1950, 1599, 630, 345, 274, 6567, 476, 272, 7565, 345, 6567, 476, 272, 1040, 273, 692, 19370, 281, 4778, 3112, 581, 9846, 25735, 593, 1019, 23807, 478, 5166, 13819, 2439, 273, 15862, 689, 8940, 4877, 6680, 339, 2593, 270, 4467, 14658, 293, 17313, 11258, 21070, 29425, 692, 300, 9508, 268, 13216, 10606, 692, 27144, 12448, 338, 692, 4467, 14658, 10606, 692, 291, 783, 10606, 692, 306, 5902, 268, 13216, 10606, 692, 24058, 1944, 9050, 268, 667, 7645, 5080, 5865, 692, 288, 3113, 540, 519, 1950, 1599, 630, 345, 1341, 476, 273, 7565, 345, 6567, 476, 273, 1040, 274, 692, 274, 15862, 689, 8940, 4877, 6680, 339, 2593, 270, 4467, 14658, 293, 17313, 11258, 5741, 687, 883, 476, 274, 4149, 10628, 692, 300, 9508, 268, 13216, 10606, 692, 27144, 12448, 338, 692, 4467, 14658, 10606, 692, 291, 783, 10606, 692, 306, 5902, 268, 13216, 10606, 692, 24058, 1944, 9050, 268, 667, 7645, 5080, 5865, 5565, 20327, 540, 519, 2185, 8820, 1950, 12825, 883, 476, 274, 1606, 10628, 269, 276, 692, 275, 15862, 689, 8940, 4877, 6680, 339, 2593, 270, 4467, 14658, 293, 17313, 11258, 476, 276, 15862, 689, 8940, 4877, 6680, 339, 2593, 270, 4467, 14658, 293, 17313, 11258, 0, 258, 1215, 1082, 1114, 1269, 275, 27572, 323, 13424, 2338, 666, 581, 1500, 689, 9704, 540, 1297, 476, 4510, 273, 277, 2918, 280, 259, 5976, 2016, 3652, 286, 1215, 1082, 1114, 259, 275, 27572, 323, 13424, 2338 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 17610, 3364, 256, 594, 9364, 581, 6126, 547, 948, 596, 2328, 513, 1016, 15492, 593, 3946, 6823, 2833, 609, 4359, 3584, 538, 23798, 1949, 4295, 585, 513, 1762, 5304, 269, 3371, 621, 568, 1384, 14945, 276, 269, 274, 24732, 268, 4002, 15232, 609, 11628, 11762, 692, 8702, 547, 938, 3803, 1016, 15492, 538, 519, 3296, 593, 4359, 3584, 538, 23798, 1949, 4295, 256, 769, 713, 851, 267, 649, 1616, 547, 2285, 596, 930, 1187, 543, 7317, 2081, 547, 2263, 891, 7294, 2093, 593, 707, 1378, 269, 2334, 781, 1318, 1107, 621, 781, 942, 585, 930, 3946, 6823, 2238, 256, 1452, 5751, 786, 948, 596, 1732, 1174, 875, 519, 2634, 1568, 543, 12927, 1018, 596, 4312, 4121, 538, 3105, 11271, 269, 1924, 10544, 930, 1957, 267, 22796, 267, 543, 6148, 1256, 513, 3659, 610, 1920, 4759, 267, 543, 1577, 781, 1205, 3323, 2439, 12244, 1948, 272, 281, 14301, 2659, 13574, 11020, 10934, 692, 3080, 540, 519, 1034, 1271, 2035, 649, 5941, 538, 713, 3184, 729, 519, 2856, 540, 8849, 7851, 1107, 12222, 602, 1397, 875, 1114, 2694, 540, 519, 2634, 1921, 547, 1142, 824, 269, 3767, 267, 621, 781, 707, 2490, 547, 1118, 707, 1378, 2634, 4786, 256, 7427, 891, 3268, 547, 2721, 513, 2596, 6041, 540, 519, 2101, 2127, 540, 519, 2634, 543, 741, 4296, 1384, 272, 269, 3399, 676, 5373, 513, 1804, 5858, 593, 707, 1957, 547, 2099, 519, 9018, 4494, 540, 519, 2634, 267, 1572, 519, 16794, 269, 901, 568, 1141, 1082, 1164, 7400, 3206, 3157, 1491, 1747, 563, 273, 269, 18738, 519, 16794, 267, 7941, 519, 5858, 883, 2185, 9076, 1218, 267, 8204, 519, 28882, 267, 533, 926, 13926, 267, 13796, 267, 543, 1624, 760, 1388, 10981, 525, 269, 22443, 873, 9935, 563, 274, 269, 8921, 267, 1039, 4130, 10580, 3330, 1142, 9076, 656, 547, 2099, 930, 540, 519, 1292, 3889, 1369, 1346, 10981, 525, 267, 971, 607, 519, 3119, 5179, 16794, 630, 514, 519, 28882, 27914, 1070, 519, 1474, 520, 657, 29022, 16794, 630, 514, 519, 533, 926, 13926, 27914, 1070, 519, 17391, 16794, 630, 514, 519, 13796, 27914, 1070, 543, 519, 3308, 16794, 630, 514, 519, 1624, 760, 1388, 27914, 1916, 275, 269, 7053, 267, 946, 3515, 547, 1921, 519, 1585, 3889, 543, 5815, 799, 3283, 5968, 609, 835, 1776, 269, 1411, 666, 849, 6003, 891, 3515, 609, 519, 2012, 540, 519, 13374, 789, 2099, 267, 971, 607, 519, 24402, 1289, 657, 636, 630, 6518, 13462, 519, 2451, 543, 1318, 8280, 7371, 12742, 264, 610, 519, 4835, 23555, 630, 6518, 11438, 6786, 689, 519, 555, 31726, 547, 519, 16794, 6393, 2691, 596, 2811, 8737, 267, 5635, 707, 2634, 4786, 609, 513, 1483, 835, 630, 9767, 666, 1265, 7899, 2228, 14386, 543, 1294, 875, 5702, 789, 6474, 909, 269, 5457, 267, 3025, 781, 2634, 568, 2189, 267, 865, 1810, 1405, 5855, 952, 16523, 5654, 5594, 1114, 689, 519, 3283, 596, 1265, 269, 634, 1448, 568, 547, 1174, 519, 2489, 11768, 543, 3919, 540, 519, 2634, 780, 12244, 1948, 273, 281, 3244, 6819, 513, 4676, 2716, 20211, 692, 5194, 2565, 2856, 538, 23798, 1949, 4295, 568, 519, 16846, 9095, 1107, 513, 2656, 267, 13128, 3210, 547, 513, 17003, 602, 3085, 1405, 2154, 6857, 2219, 269, 2913, 781, 18082, 513, 2241, 16846, 9095, 1210, 513, 1906, 7622, 3688, 1384, 272, 269, 20283, 1079, 5068, 11680, 267, 513, 4062, 540, 5569, 827, 513, 3723, 1279, 267, 513, 1507, 18899, 610, 3440, 267, 543, 513, 3349, 610, 6366, 2627, 563, 273, 269, 9255, 835, 7484, 26700, 1524, 593, 519, 3349, 543, 8142, 519, 5569, 998, 922, 5377, 8559, 269, 570, 773, 519, 5569, 17401, 1472, 519, 3490, 540, 519, 2034, 7484, 267, 6028, 2614, 1793, 871, 585, 519, 7484, 547, 1847, 11884, 950, 519, 5569, 568, 15504, 563, 274, 269, 5590, 519, 1101, 7484, 20005, 1586, 267, 1287, 2990, 519, 2034, 7484, 2047, 3297, 621, 267, 865, 602, 519, 5569, 8255, 1063, 873, 269, 5269, 2386, 972, 781, 2614, 8082, 593, 519, 5569, 547, 1832, 1312, 11680, 7123, 563, 275, 269, 3767, 267, 1747, 519, 18899, 3330, 519, 1101, 7484, 269, 1879, 596, 7485, 9900, 593, 519, 5569, 7923, 547, 519, 2034, 7484, 267, 519, 18899, 1058, 5066, 4724, 621, 543, 2887, 856, 1107, 1175, 899, 513, 22813, 11488, 513, 5365, 2059, 513, 8229, 6775, 2439, 1607, 2534, 9727, 875, 10444, 1344, 630, 1492, 512, 1872, 593, 519, 5569, 264, 666, 9594, 513, 4028, 267, 32246, 5114, 630, 1492, 18899, 12902, 856, 1040, 1635, 14577, 519, 2179, 540, 8082, 593, 519, 5569, 610, 4657, 519, 2450, 540, 519, 18899, 267, 596, 666, 4603, 609, 1114, 3344, 540, 519, 16846, 9095, 543, 7747, 875, 7648, 1860, 519, 6364, 780, 12244, 1948, 274, 281, 8490, 513, 7844, 540, 513, 14271, 8985, 692, 15563, 267, 1577, 781, 1628, 513, 2203, 540, 513, 5348, 8985, 1107, 519, 22882, 1063, 1079, 11409, 1141, 3114, 6835, 616, 22121, 269, 1677, 798, 713, 267, 596, 3513, 991, 519, 1739, 2326, 1384, 265, 5565, 4994, 6486, 610, 4773, 540, 3556, 18450, 454, 265, 589, 6094, 14816, 540, 11956, 23240, 610, 4496, 5911, 630, 12671, 3670, 6279, 1279, 994, 265, 2480, 19538, 454, 265, 3794, 826, 454, 265, 9540, 19273, 610, 26005, 630, 523, 965, 547, 6445, 835, 2427, 540, 519, 7934, 1063, 519, 6486, 2020, 10287, 891, 5528, 547, 4020, 707, 2203, 1384, 272, 269, 20233, 519, 1079, 4994, 6486, 6252, 547, 1142, 824, 267, 1896, 6279, 6306, 563, 273, 269, 12338, 513, 7522, 18921, 538, 519, 4099, 540, 835, 3556, 267, 2870, 513, 2230, 1063, 519, 1283, 543, 5377, 30556, 563, 274, 269, 645, 754, 519, 11956, 23240, 610, 5911, 883, 513, 772, 3337, 267, 8108, 513, 8115, 602, 21269, 519, 7934, 1063, 519, 6486, 269, 5900, 778, 519, 7475, 540, 519, 8115, 547, 519, 9207, 728, 540, 1142, 3556, 609, 15441, 563, 275, 269, 32449, 519, 19273, 610, 26005, 5196, 519, 3556, 1510, 519, 18921, 267, 11423, 519, 3003, 2627, 780, 23558, 256, 1411, 4312, 2813, 513, 2241, 6041, 540, 513, 5348, 8985, 269, 634, 5580, 3368, 540, 519, 1101, 3556, 4564, 519, 1095, 2106, 25443, 12363, 630, 3602, 30088, 616, 6740, 1070, 519, 2539, 3368, 5713, 607, 519, 2022, 27675, 25443, 9245, 630, 3602, 13364, 12622, 547, 19670, 6464, 1070, 543, 519, 19273, 21843, 519, 32239, 6675, 2933, 269, 1879, 596, 2046, 1524, 21066, 593, 519, 1095, 2106, 25443, 2427, 267, 519, 30088, 834, 329, 2794, 257, 2066, 519, 7934, 543, 12622, 547, 519, 13364, 267, 13147, 10107, 519, 4890, 1184, 602, 4386, 1282, 5348, 25443, 6771, 780, 3528, 11264, 891, 3946, 6823, 2238, 267, 596, 4312, 6591, 3407, 5813, 883, 519, 25029, 540, 519, 8401, 1062, 269, 3502, 1152, 723, 596, 4396, 1881, 707, 1620, 540, 1950, 3584, 899, 8849, 11837, 267, 16846, 9095, 338, 267, 543, 5348, 22663, 267, 855, 596, 4312, 849, 1185, 1187, 3257, 621, 256, 5901, 3695, 267, 15819, 267, 543, 1565, 267, 543, 945, 6487, 1107, 6148, 835, 1554, 267, 9358, 1223, 1831, 513, 5778, 27023, 626, 1932, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 32507, 14396, 7010, 11759, 257, 5497, 585, 1762, 1453, 563, 2171, 723, 2907, 4988, 3184, 4433, 264, 834, 272, 269, 4985, 547, 29249, 7010, 11759, 2580, 834, 273, 269, 11576, 800, 27989, 2580, 834, 274, 269, 16359, 27989, 2580, 834, 275, 269, 16949, 540, 11576, 800, 543, 16359, 27989, 257, 543, 616, 1631, 1603, 513, 3184, 593, 834, 276, 269, 11628, 11762, 538, 29249, 7010, 11759, 8487, 2171, 723, 2907, 4988, 519, 1739, 1016, 26972, 538, 519, 1699, 3184, 281, 834, 276, 269, 272, 269, 7351, 1382, 538, 23798, 1949, 4295, 2580, 834, 276, 269, 273, 269, 8892, 8846, 538, 23798, 1949, 4295, 8487, 2237, 519, 1007, 1016, 15492, 11331, 834, 276, 269, 274, 269, 24732, 6823, 1995, 609, 4359, 3584, 257, 1247, 3843, 547, 581, 912, 268, 21004, 910, 596, 1711, 4101, 9499, 602, 3382, 519, 1570, 538, 3178, 563, 268, 12056, 910, 707, 9499, 723, 513, 2239, 9095, 543, 2502, 3159, 267, 899, 519, 1603, 540, 7812, 11066, 563, 268, 11930, 910, 596, 946, 1808, 543, 4052, 1806, 269, 1280, 1383, 267, 952, 519, 1888, 568, 5610, 538, 11810, 267, 1331, 4834, 543, 15997, 540, 519, 1523, 596, 2811, 3450, 269, 1306, 1776, 1383, 267, 952, 519, 1888, 568, 519, 1686, 540, 519, 2136, 2276, 267, 1331, 7389, 267, 4408, 267, 543, 1883, 2621, 563, 8855, 713, 1770, 568, 5497, 585, 1762, 1453, 2835, 267, 865, 946, 1360, 2241, 267, 4948, 1913, 543, 2453, 602, 513, 476, 1015, 4458, 6040, 1131, 3362, 1174, 269, 15681, 606, 2502, 543, 28292, 1650, 543, 2057, 1022, 1950, 2035, 610, 2930, 2474, 0, 8080, 547, 938, 3460, 998, 519, 8949, 543, 4241, 1158, 540, 12769, 11939, 11951, 256, 1411, 1522, 581, 11842, 267, 1018, 4010, 568, 12769, 11939, 11951, 286, 4270, 267, 1577, 781, 1101, 1174, 1141, 621, 2501, 689, 269, 12769, 11939, 807, 568, 513, 3140, 3148, 538, 7013, 5333, 267, 1141, 1004, 3717, 630, 528, 12038, 264, 513, 1893, 1572, 12769, 11939, 269, 901, 3148, 568, 1634, 585, 922, 4190, 8916, 267, 7524, 2528, 267, 543, 267, 540, 1576, 267, 5863, 1426, 2439, 3086, 602, 649, 917, 1141, 12769, 11939, 807, 568, 267, 1577, 781, 4685, 883, 922, 17705, 11477, 5389, 256, 12769, 11939, 11951, 568, 782, 827, 1210, 4195, 267, 2199, 5820, 543, 14120, 12119, 10366, 269, 3509, 8286, 4183, 5388, 267, 5613, 267, 9274, 267, 543, 16469, 602, 616, 3812, 1318, 538, 519, 3148, 269, 5221, 540, 713, 267, 596, 786, 1265, 602, 519, 1482, 8670, 666, 6492, 5594, 1114, 4470, 593, 519, 942, 540, 1032, 610, 4087, 1107, 3884, 1405, 602, 3579, 2496, 4131, 781, 2263, 930, 1883, 2609, 540, 12769, 11939, 11951, 269, 3689, 267, 27130, 543, 12403, 338, 1404, 513, 2462, 1909, 538, 713, 11951, 269, 1358, 616, 2295, 344, 267, 4313, 532, 267, 543, 3501, 585, 4687, 609, 1920, 543, 2828, 269, 589, 4583, 1383, 568, 519, 12275, 321, 675, 267, 513, 10448, 543, 5779, 12403, 1500, 609, 22648, 267, 10365, 267, 28019, 267, 543, 3006, 1256, 21868, 1476, 527, 269, 962, 636, 256, 6271, 1898, 5057, 568, 3694, 267, 2523, 519, 2199, 10568, 2861, 5180, 3138, 2378, 1572, 834, 322, 643, 5451, 2580, 1419, 10150, 609, 6980, 610, 1031, 547, 544, 641, 909, 27156, 543, 31629, 11353, 538, 707, 6676, 910, 1100, 3653, 1934, 2439, 2691, 621, 2501, 547, 5946, 267, 12769, 11939, 29397, 2648, 2324, 609, 23758, 267, 20230, 267, 15529, 267, 543, 3014, 5017, 899, 851, 16466, 610, 844, 841, 269, 1452, 16469, 616, 1419, 3500, 2275, 10541, 547, 3142, 856, 741, 2067, 10366, 543, 31926, 269, 1530, 2378, 797, 849, 4249, 513, 851, 538, 9381, 2127, 267, 609, 8286, 10023, 3165, 267, 32729, 267, 543, 552, 1564, 269, 2290, 4277, 1249, 568, 602, 6186, 1725, 659, 267, 513, 1826, 540, 6216, 344, 267, 568, 4749, 3773, 547, 27156, 543, 2261, 514, 3547, 547, 3986, 519, 8137, 540, 891, 29902, 8286, 780, 8170, 1576, 267, 649, 3112, 7340, 827, 28916, 256, 21690, 13000, 538, 12769, 11939, 807, 2356, 4125, 4829, 267, 10808, 267, 543, 9932, 269, 1325, 24325, 267, 10027, 1845, 267, 3284, 878, 1824, 267, 543, 533, 8986, 616, 1455, 5820, 1336, 538, 25394, 267, 512, 11301, 267, 543, 824, 17175, 2250, 1845, 269, 5213, 1405, 4413, 3843, 519, 834, 303, 558, 701, 20221, 561, 685, 16852, 850, 2437, 513, 6653, 3694, 4904, 609, 10538, 8768, 1216, 543, 4796, 1221, 5283, 517, 678, 785, 269, 898, 781, 3274, 10143, 2439, 3383, 267, 1946, 1281, 1620, 6237, 32345, 899, 12769, 11939, 2339, 286, 1635, 1565, 827, 519, 3536, 1004, 3548, 543, 2972, 267, 649, 2744, 4030, 883, 741, 4529, 267, 12583, 267, 543, 2081, 540, 1272, 269, 5253, 13462, 721, 782, 267, 543, 3695, 1007, 32345, 2636, 721, 547, 5660, 519, 5898, 540, 4763, 543, 3838, 1480, 2833, 269, 9578, 267, 945, 6487, 32503, 1522, 3605, 513, 1007, 5172, 8670, 2059, 519, 1259, 256, 12844, 813, 18863, 527, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3080, 540, 519, 1034, 11537, 543, 15520, 1713, 32345, 538, 519, 1158, 568, 7969, 11951, 267, 799, 814, 513, 3638, 1686, 543, 3309, 2039, 540, 8286, 602, 723, 1831, 2442, 1472, 519, 8608, 563, 2005, 6501, 11951, 814, 922, 5072, 538, 3504, 4936, 5986, 267, 799, 729, 2241, 543, 1759, 593, 2199, 5820, 269, 1717, 267, 621, 729, 1282, 519, 11193, 1974, 538, 519, 476 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 272, 8961, 952, 1775, 815, 552, 780, 1607, 2164, 538, 519, 28928, 18422, 799, 1590, 581, 2141, 6252, 547, 519, 10071, 18422, 269, 6736, 1373, 6252, 267, 519, 10071, 543, 6932, 12345, 798, 711, 2671, 519, 1482, 1899, 269, 901, 6920, 602, 519, 10071, 18422, 543, 6932, 18422, 723, 1114, 14694, 7158, 780, 1012, 21624, 12700, 692, 1103, 25852, 543, 2029, 267, 1201, 3555, 568, 1031, 14916, 269, 634, 1739, 568, 513, 1592, 540, 930, 540, 519, 2442, 3156, 1384, 1892, 4676, 3555, 2636, 513, 7828, 547, 1711, 513, 4605, 540, 606, 1843, 585, 513, 3099, 540, 3252, 267, 1519, 3172, 2305, 780, 1892, 634, 1523, 540, 1201, 3555, 568, 1031, 538, 4715, 8163, 12816, 676, 1346, 609, 5075, 2042, 780, 1892, 4676, 3555, 568, 513, 4480, 1031, 538, 24985, 267, 12514, 267, 7260, 1788, 832, 267, 543, 890, 788, 32440, 593, 1753, 9885, 780, 2162, 3752, 1386, 10819, 692, 272, 269, 1403, 519, 5086, 540, 11841, 568, 476, 3374, 4113, 543, 519, 5086, 540, 1201, 3555, 568, 476, 1428, 4113, 267, 1018, 568, 519, 3586, 1871, 2496, 9172, 281, 12276, 4118, 641, 3189, 3944, 16429, 4153, 333, 565, 574, 1080, 348, 1775, 815, 476, 3374, 23373, 15132, 8961, 543, 12276, 4118, 641, 3189, 3944, 16429, 4153, 333, 565, 574, 1080, 348, 678, 815, 476, 1428, 23373, 15132, 10608, 1284, 3489, 519, 7222, 2418, 540, 519, 3177, 7285, 689, 519, 2845, 3349, 780, 21851, 4118, 641, 3189, 3944, 16429, 4153, 333, 565, 574, 1080, 348, 476, 3374, 23373, 15132, 1315, 3189, 4118, 641, 3189, 3944, 16429, 4153, 333, 565, 574, 1080, 348, 476, 1428, 23373, 15132, 815, 476, 273, 269, 866, 6911, 763, 476, 273, 269, 866, 568, 519, 1871, 540, 519, 31659, 4994, 540, 12345, 8429, 689, 835, 2923, 547, 1776, 780, 272, 269, 589, 1769, 11237, 10596, 998, 1079, 4837, 1793, 11274, 540, 519, 1482, 11098, 269, 769, 519, 1101, 28973, 562, 272, 543, 519, 2034, 28973, 562, 273, 267, 6329, 1106, 14384, 269, 9747, 267, 1018, 786, 581, 519, 31659, 4994, 540, 519, 2034, 5420, 609, 2463, 547, 519, 1101, 780, 9172, 281, 2913, 779, 8263, 512, 267, 4399, 14433, 8961, 543, 562, 616, 519, 11098, 540, 519, 4837, 28973, 267, 15423, 267, 543, 519, 1297, 540, 6329, 267, 6606, 780, 7445, 8218, 15204, 2410, 331, 348, 333, 265, 315, 14433, 815, 512, 11138, 315, 14433, 815, 512, 14672, 17910, 15204, 10592, 7445, 14433, 1422, 10401, 476, 272, 14672, 259, 630, 553, 512, 568, 519, 1482, 2020, 3086, 10484, 7445, 14433, 476, 272, 270, 315, 14433, 476, 273, 815, 562, 273, 265, 333, 272, 259, 25991, 692, 13295, 267, 519, 31659, 4994, 540, 519, 2034, 5420, 530, 25331, 6745, 269, 1101, 5420, 568, 21851, 3944, 346, 272, 14990, 14153, 476, 273, 815, 1422, 14433, 476, 272, 270, 315, 14433, 476, 273, 815, 562, 273, 14672, 272, 6911, 2162, 6206, 17972, 692, 1892, 9603, 547, 519, 1249, 602, 1769, 568, 3001, 689, 513, 4686, 337, 547, 513, 16437, 518, 9804, 5420, 267, 519, 5086, 540, 1201, 3555, 568, 4130, 982, 519, 5086, 540, 11841, 780, 1892, 634, 1769, 536, 1742, 538, 519, 4287, 540, 3339, 950, 621, 7575, 689, 606, 1904, 1227, 4686, 337, 5420, 630, 1515, 264, 547, 606, 1904, 1227, 16437, 518, 5420, 630, 6921, 817, 6393, 1892, 634, 5086, 540, 11944, 543, 11841, 616, 3592, 3160, 780, 1012, 10390, 692, 2171, 8068, 602, 950, 513, 18422, 16716, 835, 540, 519, 6252, 28973, 7252, 267, 621, 1101, 2833, 1201, 3555, 693, 519, 2627, 267, 1141, 621, 1287, 536, 1742, 4724, 519, 3339, 1354, 11495, 519, 824, 2627, 602, 568, 9838, 547, 519, 1101, 835, 269, 6969, 13059, 547, 519, 2011, 998, 513, 4837, 28973, 267, 1769, 2833, 1079, 1201, 10330, 269, 634, 18195, 539, 1769, 1821, 28179, 689, 519, 2343, 519, 2034, 942, 269, 634, 1769, 786, 2951, 998, 519, 4837, 28973, 1510, 1821, 11868, 952, 621, 568, 10071, 693, 513, 2786, 5086, 269, 1306, 649, 666, 1294, 267, 519, 28928, 18422, 540, 1769, 7153, 6252, 547, 519, 10071, 18422, 18631, 621, 269, 9603, 547, 922, 1079, 10353, 7252, 267, 513, 4837, 28973, 19299, 713, 2189, 2298, 780, 4467, 7065, 1438, 1401, 4461, 1310, 476, 1321, 628, 3163, 692, 1012, 14174, 17988, 593, 4676, 3555, 540, 8752, 3414, 19371, 6215, 629, 692, 272, 269, 4208, 798, 10071, 543, 28928, 12345, 538, 519, 3236, 540, 513, 14328, 4837, 28973, 979, 6252, 547, 835, 1776, 2496, 1103, 519, 2013, 540, 513, 14328, 4837, 28973, 267, 519, 5086, 540, 11841, 543, 5086, 540, 11944, 568, 519, 1482, 693, 519, 15852, 6252, 28973, 7252, 267, 865, 519, 10071, 543, 28928, 12345, 616, 6252, 547, 835, 1776, 780, 273, 269, 6904, 1769, 689, 17886, 289, 294, 312, 3036, 536, 1742, 693, 519, 2547, 5086, 543, 693, 519, 6574, 5086, 896, 1201, 3555, 2496, 1103, 3210, 267, 642, 14489, 1769, 536, 1742, 519, 1034, 543, 2699, 1769, 519, 2547, 780, 274, 269, 1548, 568, 2698, 4835, 8086, 2496, 13707, 4835, 8086, 568, 606, 9804, 7613, 1141, 6329, 21945, 693, 519, 8818, 1063, 1079, 2923, 7357, 2992, 1394, 883, 519, 1101, 5420, 3079, 540, 1373, 18195, 539, 883, 519, 2034, 269, 0, 258, 2480, 2660, 12810, 1923, 1548, 568, 2480, 2660, 12810, 538, 476, 278, 1627, 290, 13088, 286, 1923, 4856, 21975, 15873, 692, 1012, 1548, 568, 513, 2480, 2660, 12810, 1109, 514, 476, 278, 1627, 290, 13088, 1384, 9928, 2660, 12810, 568, 1031, 547, 1109, 13231, 344, 30548, 1109, 1211, 1518, 1109, 1492, 2009, 2078, 1063, 1109, 18314, 4632, 563, 20681, 898, 28812, 1031, 547, 3715, 519, 1109, 1410, 14571, 540, 513, 9756, 267, 1109, 13911, 540, 9756, 267, 30548, 1109, 1805, 31104, 540, 519, 6935, 563, 20681, 2480, 2660, 12810, 568, 519, 1655, 15418, 1907, 540, 9978, 18599, 1627, 290, 13088, 563, 20681, 898, 568, 513, 3113, 538, 799, 519, 2418, 540, 1079, 4632, 616, 28367, 2059, 1079, 17887, 540, 519, 3113, 267, 519, 4806, 540, 519, 4611, 2798, 786, 2161, 519, 9756, 1063, 1079, 4756, 563, 20681, 898, 568, 849, 1572, 513, 9756, 5750, 780, 2162, 2340, 508, 353, 1109, 14300, 540, 519, 6935, 1063, 519, 1079, 4632, 1384, 20681, 13379, 543, 27551, 540, 513, 812, 563, 20681, 10434, 1145, 543, 3327, 1543, 538, 519, 1587, 563, 20681, 10439, 6184, 18936, 9073, 543, 7629, 636, 1588, 2157, 563, 20681, 4132, 779, 4463, 543, 12429, 779, 4463, 563, 20681, 595, 1005, 18323, 543, 595, 1005, 5384, 692, 1012, 9050, 14168, 17778, 585, 10435, 513, 2480, 2660, 12810, 1384, 272, 269, 11814, 1239, 585, 649, 723, 547, 1265, 513, 9756, 563, 273, 269, 7994, 606, 4830, 543, 8200, 4756, 563, 274, 269, 20472, 519, 8641, 543, 1039, 519, 10643, 1299, 7678, 1899, 563, 275, 269, 19873, 519, 8641, 692, 2162, 2340, 508, 353, 5153, 476, 272, 269, 11814, 1239, 585, 649, 723, 547, 1265, 513, 9756, 1063, 1079, 4756, 1384, 20681, 3371, 649, 3576, 476, 2004, 2542, 540, 27955, 2837, 543, 27955, 942, 585, 513, 1587, 454, 20681, 1109, 2171, 723, 547, 1265, 568, 1022, 9756, 568, 1459, 610, 711, 1063, 27955, 2837, 543, 27955, 942, 563, 20681, 1403, 649, 723, 811, 1239, 3732, 1287, 621, 786, 2285, 513, 811, 5730, 1267, 780, 2162, 2340, 508, 353, 5153, 476, 273, 269, 7994, 18763, 543, 667, 8817, 24438, 1384, 20681, 634, 1109, 323, 8817, 1109, 19702, 762, 568, 1109, 17141, 1109, 7120, 1540, 2059, 519, 7299, 7852, 1775, 4318, 269, 538, 1109, 312, 14289, 563, 20681, 1656, 8200, 1109, 19702, 762, 849, 1572, 607, 513, 1109, 1889, 25979, 9936, 563, 20681, 634, 1109, 785, 8817, 1109, 19702, 762, 543, 568, 1109, 17141, 1109, 7120, 1540, 2059, 519, 8880, 7852, 1109, 328, 4318, 269, 538, 1109, 311, 14289, 563, 20681, 634, 1109, 785, 8817, 1109, 19702, 762, 849, 1572, 607, 513, 1109, 31553, 1109, 12407, 2678, 780, 2162, 2340, 508, 353, 5153, 476, 275, 269, 19873, 519, 2480, 2660, 12810, 538, 476, 278, 1627, 290, 13088, 1384, 20681, 2755, 649, 616, 16208, 519, 1109, 9928, 2660, 12810, 1109, 6533, 649, 786, 1336, 1109, 572, 1597, 1109, 18528, 5166, 2010, 540, 454, 14585, 21975, 1063, 519, 1079, 4756, 780, 2162, 2340, 508, 353, 1109, 763, 5722, 1114, 9756, 1063, 4756, 692, 272, 269, 16200, 15474, 9756, 454, 273, 269, 3525, 4733, 15474, 9756, 454, 274, 269, 31808, 15474, 9756, 454, 275, 269, 16200, 20134, 9756, 454, 276, 269, 3525, 4733, 1109, 27078, 894, 1109, 14585, 21975, 454, 277, 269, 31808, 1109, 27078, 894, 1109, 14585, 21975, 454, 278, 269, 15932, 23694, 630, 5591, 9756, 994, 20681, 1496, 272, 316, 16200, 15474, 9756, 1063, 1079, 4756, 912, 20681, 1496, 273, 316, 3525, 4733, 15474, 9756, 1063, 1079, 4756, 912, 20681, 1496, 274, 316, 31808, 15474, 9756, 1063, 1079, 4756, 1384, 20681, 1496, 275, 316, 16200, 20134, 9756, 1063, 1079, 4756, 912, 20681, 1496, 276, 316, 3525, 4733, 20134, 9756, 1063, 6287, 4756, 912, 20681, 1496, 277, 316, 31808, 20134, 9756, 1063, 6287, 4756, 912, 20681, 1496, 278, 316, 15932, 23694, 630, 5591, 9756, 264, 1063, 1079, 4756, 1384, 1012, 11588, 540, 513, 2480, 2660, 12810, 1384, 20681, 898, 568, 6225, 547, 6166, 513, 8367, 630, 817, 18870, 264, 1063, 1079, 4632, 602, 891, 616, 1644, 610, 711, 563, 20681, 3629, 1312, 3308, 543, 8579, 1797, 547, 1449, 519, 4222, 540, 513, 1761, 2078, 563, 20681, 898, 568, 513, 1360, 1434, 15418, 1907, 563, 20681, 13242, 585, 18445, 519, 6935, 1063, 2014, 543, 1198, 563, 20681, 18140, 1154, 519, 6516, 568, 5266, 2241, 780, 1012, 7799, 2787, 540, 519, 2480, 2660, 12810, 1384, 20681, 2480, 2660, 12810, 616, 8572, 547, 2285, 596, 519, 3169, 6708, 540, 9756, 563, 20681, 898, 1281, 711, 1397, 596, 519, 11050, 2268, 540, 519, 2078, 1063, 519, 4756, 563, 20681, 901, 5750, 1281, 711, 1397, 596, 519, 2078, 585, 811, 982, 1079, 4632, 693, 513, 942, 780, 6930, 495, 487, 1109, 2690, 513, 2834, 9337, 2433, 0, 258, 4569, 692, 14006, 539, 676, 16317, 24876, 519, 3830, 540, 519, 1899, 602, 10596, 998, 1448, 630, 272, 267, 476, 273, 264, 543, 568, 6252, 547, 519, 1899, 586, 1341, 476, 277, 343, 910, 278, 815, 476, 271, 780, 296, 723, 513, 2731, 723, 2152, 3843, 547, 4137, 891, 856, 865, 952, 594, 1223, 1205, 513, 1900, 676, 1900, 2736, 1524, 593, 875, 547, 4194, 713, 621, 1131, 581, 1390, 780, 1892, 4569, 910, 692, 344, 910, 586, 272, 815, 544, 3287, 910, 1535, 272, 2020, 12179, 1899, 6252, 547, 519, 1899, 586, 1341, 476, 277, 343, 910, 476, 278, 815, 476, 271, 1590, 723, 519, 1482, 9386, 26905, 544, 780, 763, 1448, 630, 343, 272, 267, 586, 272, 264, 568, 2016, 607, 630, 272, 267, 476, 273, 6393, 3086, 946, 519, 1657, 3830, 547, 1265, 519, 3830, 540, 519, 1899, 780, 1012, 5381, 5999, 692, 272, 269, 12693, 10789, 692, 296, 6415, 15475, 547, 2328, 606, 3830, 609, 519, 1739, 1344, 281, 7412, 10596, 998, 630, 273, 16427, 277, 264, 543, 568, 6252, 547, 1535, 284, 279, 594, 917, 1775, 1590, 946, 519, 9386, 1448, 1106, 519, 1966, 568, 602, 2094, 1535, 284, 279, 594, 1810, 711, 917, 799, 568, 519, 9386, 269, 7490, 948, 6693, 273, 269, 12693, 2979, 692, 24876, 519, 3830, 540, 519, 1899, 602, 10596, 998, 1448, 11196, 276, 267, 910, 272, 264, 543, 568, 6252, 547, 519, 1899, 586, 815, 910, 272, 270, 275, 343, 268, 476, 278, 563, 274, 269, 12693, 4569, 692, 24876, 519, 3830, 540, 519, 1899, 602, 10596, 998, 1448, 630, 276, 267, 476, 272, 264, 543, 568, 6252, 547, 519, 1899, 586, 815, 476, 274, 343, 1107, 476, 272, 563, 275, 269, 12693, 4569, 692, 24876, 519, 3830, 540, 519, 1899, 602, 10596, 998, 1448, 630, 276, 267, 476, 272, 264, 543, 568, 6252, 547, 519, 1899, 586, 815, 476, 274, 343, 1107, 476, 272, 563, 276, 269, 12693, 7223, 692, 24876, 519, 3830, 540, 519, 1899, 602, 10596, 998, 1448, 630, 276, 267, 476, 272, 264, 543, 568, 6252, 547, 519, 1899, 586, 815, 476, 274, 343, 1107, 476, 272, 269, 594, 993, 865, 4503, 269, 594, 723, 1100, 23319, 875, 547, 798, 713, 269, 2052, 4896, 5225, 948, 888, 277, 269, 12693, 2979, 692, 328, 723, 811, 982, 835, 2243, 865, 952, 579, 1100, 1022, 540, 519, 4267, 5225, 2995, 803, 476, 272, 4700, 2328, 519, 1448, 1606, 331, 2100, 1106, 540, 519, 3830, 540, 519, 1899, 609, 9386, 910, 273, 8429, 998, 519, 1448, 630, 910, 276, 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 ]
[ 5753, 281, 1548, 14268, 10261, 547, 5700, 454, 2026, 3237, 267, 649, 1419, 1491, 3063, 15416, 547, 2327, 519, 3106, 543, 1134, 5630, 540, 938, 1453, 1282, 519, 5162, 4005, 269, 3245, 15985, 1782, 873, 909, 538, 3636, 9660, 547, 7311, 24429, 585, 9205, 1404, 267, 649, 798, 938, 1655, 547, 2149, 741, 1072, 269, 1717, 267, 835, 2460, 602, 568, 1419, 15763, 568, 741, 3750, 3106, 563, 1103, 713, 5816, 2022, 267, 649, 786, 1865, 519, 2956, 540, 5162, 3750, 3106, 585, 1453, 543, 1683, 3237, 609, 1898, 4388, 543, 1344, 547, 1832, 741, 3214, 685, 4064, 2635, 1282, 519, 21617, 3275, 269, 2913, 779, 2253, 2336, 310, 5793, 4365, 666, 10460, 2189, 2591, 547, 1453, 779, 4064, 269, 634, 4999, 540, 4411, 5210, 267, 3819, 2011, 267, 543, 2799, 4598, 547, 11158, 12345, 666, 1291, 547, 1585, 3750, 2042, 269, 1284, 786, 2263, 1455, 5162, 3750, 2175, 971, 607, 3819, 4064, 267, 1351, 928, 531, 16698, 267, 543, 6777, 21901, 543, 2491, 875, 1142, 666, 1860, 513, 1126, 779, 5075, 563, 310, 5793, 568, 513, 4005, 4904, 609, 1187, 9205, 2238, 899, 521, 1194, 3429, 267, 4672, 1236, 908, 267, 543, 6777, 4252, 24515, 269, 1717, 267, 891, 2238, 666, 4163, 4220, 585, 1453, 779, 4064, 952, 789, 616, 711, 18113, 6870, 269, 901, 3296, 786, 1865, 519, 2956, 540, 9849, 8825, 2363, 1168, 792, 543, 4363, 5078, 3681, 971, 607, 20744, 575, 17344, 956, 610, 23475, 28904, 609, 11158, 4027, 269, 1284, 786, 849, 1683, 4388, 593, 7446, 519, 1318, 2363, 1168, 792, 585, 1114, 5162, 5026, 563, 291, 787, 4064, 616, 513, 1455, 24255, 1282, 519, 5162, 3275, 267, 543, 1453, 616, 711, 23614, 689, 713, 9636, 269, 1284, 786, 2491, 519, 2188, 602, 3565, 547, 3819, 4064, 538, 5162, 267, 971, 607, 11255, 8022, 1949, 543, 4411, 12798, 267, 543, 2709, 4052, 2994, 585, 7303, 543, 5883, 713, 2783, 269, 14268, 786, 1451, 875, 547, 1832, 741, 1453, 779, 4064, 5848, 543, 2635, 267, 689, 1210, 18519, 13294, 547, 6220, 513, 1697, 3750, 1416, 6296, 563, 22826, 1453, 827, 3750, 3106, 568, 1898, 547, 5009, 741, 1279, 3856, 3750, 1072, 269, 1284, 786, 1865, 2085, 29003, 2081, 547, 13599, 1453, 827, 519, 2956, 540, 9849, 8825, 2363, 1168, 792, 267, 9319, 27012, 741, 4064, 609, 4411, 3946, 543, 9301, 519, 4191, 540, 3750, 9636, 269, 3958, 267, 649, 786, 2263, 7317, 2238, 543, 3756, 602, 3237, 666, 4497, 538, 609, 741, 1453, 547, 12927, 891, 4245, 563, 763, 4411, 4365, 666, 849, 1860, 519, 2960, 1472, 513, 1126, 779, 4064, 267, 1818, 621, 3819, 543, 12155, 547, 16698, 269, 901, 3296, 786, 2709, 513, 2241, 2943, 2500, 5162, 2960, 3249, 6296, 4481, 13389, 519, 10347, 3750, 1858, 269, 14268, 786, 1451, 827, 519, 2956, 540, 1210, 9543, 18274, 619, 267, 5848, 584, 9088, 267, 543, 24429, 630, 13433, 267, 1256, 538, 5162, 264, 547, 2149, 741, 1453, 779, 2960, 689, 519, 10792, 2609, 563, 310, 5793, 568, 513, 4005, 602, 2488, 3875, 3255, 585, 1453, 547, 2972, 9205, 2238, 267, 855, 621, 849, 6770, 2189, 2591, 547, 741, 3750, 1072, 269, 1635, 1739, 519, 4388, 543, 7840, 13890, 538, 713, 5816, 2022, 267, 3237, 666, 2327, 741, 1453, 779, 4064, 616, 18113, 6870, 1282, 519, 21617, 3275, 269, 5457, 267, 513, 14942, 1935, 547, 5162, 3750, 3106, 2221, 666, 3648, 1764, 741, 5075, 1072, 538, 519, 2104, 563, 2252, 596, 2461, 3168, 585, 6325, 3750, 1416, 2533, 538, 9966, 1076, 267, 7147, 267, 649, 4076, 3893, 596, 4988, 256, 1546, 8538, 549, 758, 29431, 1815, 732, 779, 5234, 568, 3810, 13473, 538, 741, 3924, 609, 519, 5767, 3750, 1072, 1344, 543, 2029, 563, 2171, 616, 6131, 547, 2348, 782, 519, 2029, 543, 3937, 2556, 547, 1491, 519, 1360, 1655, 1416, 540, 938, 2550, 269, 1284, 849, 723, 10375, 3108, 609, 20499, 2139, 538, 519, 1256, 902, 267, 593, 590, 4405, 17058, 267, 543, 593, 9530, 904, 269, 0, 8310, 3018, 693, 960, 267, 513, 6727, 10421, 7318, 1250, 575, 527, 1983, 269, 594, 1185, 547, 979, 998, 543, 1174, 1079, 1950, 575, 527, 946, 2665, 281, 575, 527, 28175, 29728, 543, 575, 527, 1922, 559, 614, 1532, 13361, 269, 2755, 2542, 998, 1279, 4930, 543, 812, 335, 1137, 267, 594, 1483, 2213, 602, 1256, 1498, 594, 723, 1044, 1210, 713, 1907, 585, 1296, 267, 594, 1810, 1405, 2731, 1174, 1018, 781, 8345, 896, 519, 26372, 563, 3383, 594, 1305, 856, 547, 1174, 519, 1907, 267, 20171, 1250, 4967, 689, 8384, 606, 25644, 1576, 593, 27707, 11759, 16610, 602, 594, 1336, 2228, 563, 2252, 596, 1616, 547, 1224, 519, 575, 527, 12319, 267, 621, 781, 1360, 1271, 547, 917, 519, 575, 527, 2165, 514, 3098, 865, 602, 596, 666, 1174, 1018, 781, 2854, 563, 268, 11554, 15682, 568, 707, 3009, 1459, 538, 707, 6119, 2448, 269, 1452, 616, 519, 2834, 6119, 543, 32766, 543, 789, 723, 4986, 547, 798, 609, 575, 527, 563, 268, 12039, 267, 849, 2442, 569, 5219, 547, 607, 834, 560, 1645, 1858, 2580, 568, 1141, 649, 5531, 938, 2242, 1354, 1818, 513, 3479, 856, 540, 621, 563, 268, 634, 2199, 575, 527, 23789, 602, 3029, 519, 4015, 540, 782, 862, 1080, 267, 543, 824, 4528, 1852, 1239, 563, 22998, 30615, 547, 12039, 912, 326, 527, 1039, 2999, 12803, 285, 2483, 19340, 1394, 547, 11554, 30615, 912, 326, 527, 11177, 4534, 560, 3042, 2999, 12803, 285, 2483, 19340, 547, 10871, 1065, 334, 912, 326, 527, 3479, 910, 332, 834, 283, 1260, 2466, 5048, 285, 4840, 26222, 1065, 334, 547, 4994, 912, 326, 527, 19268, 910, 1765, 7809, 16777, 4696, 349, 272, 454, 26222, 1065, 334, 547, 519, 2324, 15682, 912, 326, 527, 19268, 910, 1765, 332, 12089, 16777, 4696, 349, 272, 454, 26222, 1065, 334, 547, 6094, 2011, 630, 9767, 6336, 519, 1689, 2187, 326, 527, 19268, 2443, 268, 18141, 16777, 4696, 349, 272, 454, 8333, 1080, 723, 513, 3095, 547, 741, 2385, 899, 513, 5532, 1592, 269, 8585, 613, 862, 1080, 723, 1079, 3237, 269, 1411, 666, 849, 1205, 811, 982, 1079, 538, 1018, 568, 1572, 834, 24934, 22455, 8487, 268, 772, 660, 571, 22486, 281, 1879, 513, 3758, 568, 2813, 267, 621, 781, 834, 2863, 571, 22486, 2668, 27707, 3085, 1405, 917, 827, 621, 563, 268, 12039, 539, 281, 575, 527, 1039, 1118, 621, 834, 8161, 539, 257, 1315, 588, 3042, 563, 268, 1133, 577, 6548, 281, 575, 527, 3479, 2306, 621, 834, 4875, 6548, 2668, 634, 3758, 593, 535, 338, 13292, 609, 1018, 575, 527, 6487, 563, 268, 3525, 1881, 281, 1631, 950, 596, 12189, 713, 3758, 602, 781, 27424, 676, 575, 527, 267, 621, 3587, 834, 7116, 1881, 2668, 3767, 950, 596, 3942, 543, 3479, 621, 267, 621, 4422, 998, 2829, 630, 273, 264, 543, 630, 274, 264, 1586, 563, 268, 3816, 3437, 281, 6368, 835, 2063, 1533, 568, 834, 8145, 3437, 257, 950, 596, 798, 513, 575, 527, 678, 332, 543, 3479, 602, 1689, 269, 898, 781, 1175, 1776, 3479, 602, 18788, 519, 3758, 563, 19465, 593, 519, 16166, 689, 519, 2063, 3296, 267, 4952, 972, 616, 930, 2150, 571, 22486, 543, 930, 4994, 539, 6119, 267, 543, 596, 616, 711, 4712, 547, 3479, 2943, 269, 22582, 707, 9614, 2501, 543, 6645, 596, 602, 972, 568, 513, 10862, 4305, 602, 596, 991, 547, 5612, 1491, 909, 563, 1805, 1662, 568, 513, 8772, 7997, 1141, 596, 666, 1832, 11735, 630, 560, 1662, 2476, 264, 891, 27424, 543, 2150, 571, 22486, 6119, 17303, 1247, 596, 7914, 547, 1945, 3116, 563, 31161, 2242, 547, 519, 588, 1662, 912, 326, 527, 588, 1662, 910, 340, 2999, 12803, 285, 2483, 31161, 2242, 1394, 689, 519, 588, 1662, 912, 326, 527, 588, 1662, 4019, 4534, 8161, 454, 335, 2313, 707, 862, 1080, 547, 513, 6552, 3838, 575, 527, 1065, 334, 267, 543, 454, 335, 1638, 824, 1004, 781, 3479, 689, 621, 883, 707, 2199, 1065, 334, 563, 5415, 575, 527, 9708, 4947, 4166, 2336, 296, 798, 476, 272, 268, 272, 29013, 585, 1762, 9367, 267, 596, 666, 1433, 513, 18921, 1934, 952, 596, 616, 5461, 269, 0, 2026, 4620, 5411, 267, 649, 2141, 11441, 547, 1832, 938, 24566, 2828, 2635, 543, 6126, 269, 1717, 267, 607, 1454, 607, 649, 2119, 267, 972, 616, 2141, 1978, 1072, 2152, 602, 949, 1860, 938, 11537, 10130, 267, 543, 1977, 595, 29420, 1975, 534, 1408, 338, 616, 1100, 9868, 269, 1452, 17681, 5243, 616, 12155, 547, 1896, 1072, 4145, 602, 666, 1764, 741, 2298, 540, 1272, 952, 711, 9619, 5265, 269, 769, 713, 3102, 3391, 267, 649, 786, 3802, 596, 998, 519, 1455, 1072, 2152, 602, 1977, 595, 29420, 1975, 534, 1408, 338, 949, 3068, 543, 1018, 596, 991, 547, 917, 547, 2327, 789, 4309, 519, 1416, 789, 991, 269, 1924, 267, 1577, 779, 4685, 538, 543, 1451, 811, 827, 519, 1761, 1072, 4145, 891, 24566, 2828, 949, 7237, 563, 29619, 540, 519, 1977, 595, 29420, 1975, 534, 1408, 6601, 539, 454, 763, 1977, 595, 29420, 1975, 534, 1408, 568, 513, 11537, 9742, 1634, 585, 922, 1279, 267, 3623, 5652, 10359, 267, 1804, 267, 1166, 641, 6853, 10772, 267, 543, 6653, 29916, 269, 20323, 26870, 607, 513, 10122, 2915, 267, 519, 1977, 595, 29420, 1975, 534, 1408, 814, 1831, 513, 2442, 13959, 2915, 1813, 547, 922, 7874, 2470, 543, 13916, 547, 1585, 19824, 563, 1700, 27551, 281, 476, 1691, 268, 1428, 6279, 693, 519, 13105, 454, 1700, 13379, 281, 476, 736, 268, 1789, 6550, 454, 1700, 17151, 525, 3966, 281, 476, 1321, 268, 1428, 1296, 454, 1700, 3213, 520, 281, 7043, 267, 3623, 5652, 267, 543, 530, 8283, 454, 1700, 27413, 281, 15316, 4778, 1519, 3109, 267, 10889, 267, 2699, 267, 543, 6960, 454, 290, 29420, 1975, 534, 1408, 338, 616, 1634, 585, 741, 7874, 543, 15754, 622, 2470, 269, 1358, 2648, 547, 581, 1472, 1004, 543, 616, 1390, 609, 1453, 269, 1358, 616, 849, 10995, 543, 2653, 547, 5721, 267, 1818, 873, 1390, 1920, 10130, 269, 1717, 267, 789, 666, 581, 12155, 547, 9668, 4160, 952, 2451, 4805, 585, 1279, 5712, 540, 942, 563, 12024, 782, 14981, 267, 595, 29420, 1975, 534, 1408, 338, 616, 11630, 547, 1978, 1072, 2152, 269, 2368, 1455, 1072, 2042, 547, 581, 3222, 540, 1331, 912, 1700, 2423, 5563, 281, 595, 29420, 1975, 534, 1408, 338, 723, 1279, 267, 1166, 641, 6853, 10772, 267, 799, 666, 15972, 7509, 543, 1291, 547, 1274, 5563, 269, 8617, 7738, 543, 2638, 13522, 609, 513, 16943, 666, 948, 2061, 891, 5563, 563, 1700, 15482, 2152, 281, 595, 29420, 1975, 534, 1408, 338, 616, 849, 12155, 547, 5959, 2042, 267, 1519, 5694, 9178, 543, 10733, 2068, 269, 8617, 5959, 2638, 13522, 543, 23833, 1416, 666, 948, 2061, 891, 2152, 269, 6258, 811, 827, 875, 547, 2061, 5959, 2152, 538, 595, 29420, 1975, 534, 1408, 338, 563, 1700, 25667, 281, 595, 29420, 1975, 534, 1408, 338, 2648, 547, 3548, 543, 666, 3362, 1831, 14968, 269, 898, 568, 1271, 547, 6895, 741, 2732, 543, 1118, 2386, 789, 1205, 2614, 3635, 547, 2226, 513, 2635, 2597, 269, 6258, 811, 827, 595, 29420, 1975, 534, 1408, 2732, 4170, 563, 1700, 20548, 1833, 281, 2755, 711, 782, 595, 29420, 1975, 534, 1408, 338, 7985, 689, 595, 29420, 681, 720, 15540, 267, 930, 666, 1831, 10728, 1813, 547, 513, 4719, 32739, 269, 898, 568, 1271, 547, 1382, 543, 1174, 713, 2783, 1354, 8744, 513, 595, 29420, 1975, 534, 1408, 883, 707, 1753, 269, 6258, 811, 827, 595, 29420, 681, 720, 15540, 563, 763, 1977, 595, 29420, 1975, 534, 1408, 568, 513, 8748, 9742, 1634, 585, 922, 7874, 2470, 543, 13916, 547, 1585, 19824, 269, 8617, 2638, 13522, 609, 513, 16943, 543, 23833, 1416, 666, 948, 2327, 513, 1279, 543, 2635, 1272, 585, 707, 24566, 3659, 563, 292, 6614, 543, 2423, 10819, 454, 763, 1072, 540, 606, 1977, 595, 29420, 1975, 534, 1408, 779, 4064, 543, 10772, 616, 2629, 547, 741, 8788, 543, 1134, 5630, 269, 1306, 609, 1022, 9742, 267, 789, 616, 12155, 547, 3384, 1978, 3750, 543, 1274, 2042, 602, 666, 10460, 513, 3978, 3463, 547, 741, 1072, 269, 3245, 25942, 9711, 543, 29847, 547, 1274, 5563, 267, 891, 2152, 666, 1764, 741, 2298, 540, 1272, 952, 2451, 15860, 269, 2334, 779, 1946, 621, 779, 1271, 585, 1169, 595, 29420, 1975, 534, 1408, 8227, 547, 581, 3222, 540, 519, 1761, 2042, 543, 547, 1491, 23833, 3800, 547, 1832, 741, 24566, 3659, 779, 4064, 543, 10772, 2635, 563, 290, 20345, 9711 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 291, 514, 14795, 12199, 519, 3047, 585, 936, 476, 5611, 2929, 1296, 855, 941, 10393, 530, 21317, 856, 1472, 476, 4792, 2929, 1296, 3516, 269, 631, 5417, 773, 27180, 875, 789, 949, 723, 1558, 741, 1439, 269, 4427, 18285, 547, 3047, 1133, 680, 28289, 585, 811, 5863, 3662, 7044, 910, 5291, 2517, 4226, 269, 569, 270, 29771, 2414, 24618, 4462, 680, 28289, 454, 19400, 811, 7044, 689, 3047, 1133, 680, 28289, 912, 2304, 7769, 769, 20405, 18289, 1656, 853, 7342, 5384, 2000, 8985, 22878, 5291, 2517, 4226, 269, 569, 270, 24618, 4462, 680, 28289, 306, 869, 300, 582, 1470, 2483, 2750, 6244, 1431, 543, 19715, 8606, 916, 5291, 2517, 4226, 269, 569, 270, 24618, 4462, 680, 28289, 2750, 6244, 527, 1470, 2483, 19136, 5999, 2060, 631, 5417, 773, 7720, 622, 5291, 2517, 4226, 269, 569, 270, 19136, 26524, 4415, 300, 5417, 773, 300, 2483, 27288, 15227, 590, 32268, 5291, 2517, 4226, 269, 569, 270, 27288, 15227, 306, 32268, 23742, 916, 454, 13425, 856, 519, 824, 1079, 9055, 538, 519, 18917, 3047, 3060, 912, 289, 6195, 3047, 281, 5291, 2517, 4226, 269, 569, 270, 17668, 4753, 14390, 2791, 12564, 2419, 14128, 454, 289, 6195, 3047, 6997, 281, 5291, 2517, 4226, 269, 569, 270, 17668, 4753, 14390, 24248, 2791, 12564, 2419, 14128, 454, 10666, 18917, 3047, 1133, 680, 28289, 912, 2171, 2811, 3047, 1133, 680, 28289, 543, 649, 1118, 7044, 827, 519, 6909, 2067, 1158, 543, 519, 2831, 602, 2661, 1934, 910, 14311, 585, 13334, 269, 1284, 8495, 519, 598, 1495, 337, 4548, 267, 28031, 802, 543, 4190, 2257, 540, 938, 5863, 4541, 267, 18167, 883, 519, 18917, 17245, 543, 2067, 1686, 29256, 338, 543, 11544, 621, 909, 609, 938, 1378, 8631, 547, 1491, 513, 6216, 1007, 1413, 693, 519, 2831, 543, 7320, 540, 4541, 3047, 269, 3245, 3662, 7180, 538, 3500, 5163, 267, 3872, 7044, 267, 16939, 8874, 543, 3564, 649, 4076, 3893, 596, 4988, 269, 3776, 4541, 568, 2247, 1532, 27172, 269, 15012, 721, 607, 649, 2263, 1018, 621, 814, 547, 2709, 563, 29771, 585, 811, 281, 5291, 2517, 4226, 269, 569, 270, 29771, 2414, 24618, 4462, 680, 28289, 454, 2791, 666, 849, 849, 1265, 519, 18917, 3047, 2146, 593, 9365, 267, 12108, 543, 17749, 563, 23763, 547, 2671, 707, 5784, 609, 519, 2319, 3297, 18917, 3047, 543, 3094, 26065, 286, 15012, 938, 10178, 8470, 1934, 281, 5291, 2517, 339, 4176, 14766, 2593, 270, 2791, 12564, 5174, 289, 4753, 14390, 6363, 534, 32292, 601, 454, 1607, 568, 513, 8756, 689, 18917, 2622, 4204, 945, 948, 2508, 1007, 18917, 15961, 563, 17359, 3381, 17099, 912, 29441, 281, 2274, 10042, 645, 3430, 2581, 454, 303, 6974, 518, 281, 631, 5417, 773, 7720, 622, 454, 2304, 11582, 281, 25048, 7431, 24436, 454, 24523, 281, 23866, 17978, 454, 301, 13086, 4112, 8531, 281, 18067, 545, 6129, 3553, 676, 4972, 540, 6052, 22910, 4266, 476, 3422, 273, 454, 15761, 571, 476, 273, 291, 17099, 912, 26877, 755, 5928, 676, 4793, 878, 320, 674, 31867, 517, 543, 623, 1512, 32109, 623, 4275, 330, 454, 8867, 2314, 8125, 17924, 22863, 676, 4647, 16451, 19066, 2593, 454, 24618, 543, 2230, 18282, 8331, 454, 8448, 18282, 23452, 543, 570, 2586, 543, 7956, 999, 2593, 454, 15761, 571, 476, 274, 291, 17099, 912, 307, 878, 518, 520, 3591, 676, 28529, 10961, 1470, 1546, 17664, 328, 454, 8448, 17878, 676, 623, 1512, 32109, 623, 4275, 330, 454, 2108, 294, 684, 2426, 645, 4405, 23419, 8928, 543, 1835, 11596, 892, 543, 968, 289, 4405, 23419, 2095, 1469, 892, 676, 918, 1803, 0, 1432, 568, 606, 3045, 8462, 543, 875, 1114, 568, 621, 689, 27404, 888, 2304, 3045, 8462, 568, 513, 2241, 5092, 538, 799, 585, 513, 6378, 2040, 630, 25669, 16005, 1070, 513, 2834, 2040, 1519, 1719, 568, 6976, 547, 519, 3045, 3726, 656, 269, 634, 23231, 618, 666, 581, 585, 513, 13113, 942, 610, 12808, 269, 769, 2013, 540, 12808, 942, 267, 519, 8569, 5673, 593, 519, 1272, 540, 519, 3045, 3726, 656, 610, 519, 2729, 540, 519, 3045, 3726, 1218, 269, 769, 6476, 267, 27404, 568, 1018, 835, 11392, 607, 606, 9441, 607, 851, 540, 519, 1121, 684, 3130, 585, 519, 3646, 789, 2322, 538, 585, 741, 16108, 269, 634, 27404, 568, 2356, 4625, 8200, 593, 519, 14057, 835, 1274, 985, 543, 676, 1259, 540, 7418, 547, 513, 27404, 1544, 267, 899, 519, 5520, 685, 1008, 1211, 2508, 630, 7968, 293, 264, 543, 5520, 685, 27404, 10325, 630, 292, 4916, 1040, 634, 27404, 5673, 593, 875, 1454, 661, 4916, 24402, 568, 3710, 543, 875, 835, 6999, 547, 4309, 519, 27404, 593, 16468, 269, 0, 7212, 1034, 2228, 32266, 917, 519, 2312, 4214, 1063, 4641, 543, 14810, 267, 972, 814, 1044, 513, 1376, 1782, 2333, 538, 1297, 540, 11240, 725, 827, 1039, 11881, 547, 2780, 3756, 563, 5522, 16558, 540, 2442, 2228, 3756, 971, 607, 5822, 1272, 543, 2622, 540, 654, 2117, 2761, 616, 1134, 547, 519, 2062, 267, 609, 2984, 540, 1126, 10714, 1247, 3237, 1404, 593, 11060, 3756, 267, 543, 1453, 682, 12686, 547, 741, 7972, 9117, 856, 2622, 540, 654, 2117, 2761, 25224, 338, 563, 2005, 568, 5693, 10423, 602, 1004, 616, 1631, 2921, 713, 5691, 1158, 1454, 1932, 12517, 267, 609, 8213, 543, 735, 13955, 519, 13249, 2164, 269, 8866, 616, 31411, 547, 713, 1158, 609, 519, 3355, 2709, 540, 1863, 3756, 269, 1306, 789, 1332, 543, 9921, 267, 789, 616, 1303, 5367, 883, 519, 968, 335, 599, 607, 596, 979, 892, 3756, 799, 585, 930, 1831, 606, 31117, 269, 3427, 1740, 568, 1419, 835, 540, 519, 1101, 1919, 547, 7985, 267, 543, 1719, 538, 1426, 543, 1920, 3347, 949, 530, 2033, 563, 763, 2474, 968, 341, 23709, 892, 543, 968, 9418, 892, 30270, 267, 941, 5941, 676, 5369, 9332, 2077, 808, 14283, 13332, 538, 1010, 1353, 540, 9069, 710, 6146, 619, 21890, 321, 1245, 543, 20831, 267, 15663, 741, 31117, 609, 519, 2228, 3014, 1684, 558, 563, 2005, 568, 849, 4277, 547, 4063, 267, 602, 634, 1977, 6481, 5948, 779, 7027, 593, 3163, 543, 5398, 814, 16761, 602, 30442, 2623, 538, 2463, 540, 2228, 11080, 581, 9286, 607, 513, 17867, 4524, 269, 3502, 19599, 267, 2780, 3014, 2872, 2818, 723, 15653, 713, 19583, 563, 763, 589, 7246, 723, 849, 7150, 602, 1279, 2165, 3381, 3014, 5716, 666, 581, 811, 10728, 267, 7985, 3007, 4713, 267, 543, 3622, 723, 811, 7411, 609, 1153, 1740, 563, 29261, 616, 1631, 1373, 9415, 547, 581, 593, 519, 1413, 719, 585, 4191, 540, 8213, 267, 799, 666, 1331, 15790, 531, 15993, 6794, 267, 31191, 538, 8405, 610, 1394, 267, 2042, 609, 12008, 267, 3819, 4064, 267, 543, 4057, 2123, 9882, 543, 454, 4517, 607, 3237, 267, 585, 865, 1279, 649, 2219, 602, 621, 729, 1175, 519, 4568, 267, 610, 8715, 18041, 2867, 8533, 1039, 11881, 540, 799, 649, 1185, 547, 581, 3222, 256, 0, 293, 8986, 543, 1912, 984, 5362, 454, 6624, 2168, 543, 5626, 2042, 666, 581, 14360, 1394, 547, 4250, 269, 21824, 6818, 585, 513, 2601, 543, 666, 581, 513, 1360, 3730, 6668, 7271, 269, 2991, 782, 267, 621, 568, 4250, 602, 13071, 721, 917, 602, 649, 991, 547, 1491, 1416, 540, 6000, 543, 519, 1004, 538, 938, 2729, 269, 674, 8986, 616, 267, 4061, 267, 513, 3391, 547, 513, 1978, 6297, 1145, 543, 2337, 721, 547, 1832, 6000, 543, 938, 1560, 9800, 269, 1912, 984, 5362, 616, 513, 2027, 1106, 540, 4250, 281, 1358, 616, 1759, 593, 19450, 4606, 267, 543, 7703, 1100, 2078, 547, 519, 1843, 267, 6381, 610, 3510, 267, 799, 12153, 519, 4250, 269, 1912, 984, 5362, 2731, 4196, 1100, 3730, 3483, 563, 288, 1713, 6871, 540, 519, 2551, 23119, 689, 513, 4250, 610, 513, 943, 14113, 269, 634, 5354, 540, 1004, 7092, 689, 12194, 1118, 2462, 4674, 547, 2057, 1018, 789, 4250, 269, 11524, 4043, 547, 12404, 610, 3382, 909, 741, 12194, 547, 3100, 3339, 585, 519, 3544, 1158, 563, 303, 16993, 540, 4250, 666, 581, 865, 11213, 547, 11291, 602, 891, 1004, 5578, 2685, 1711, 13968, 267, 799, 1118, 873, 7703, 762, 269, 1358, 723, 796, 4621, 19290, 8815, 547, 24320, 1047, 519, 1928, 540, 741, 2250, 269, 1717, 267, 18284, 519, 32320, 518, 519, 3411, 19907, 666, 581, 1360, 14221, 543, 3668, 538, 1582, 21873, 543, 1582, 12635, 269, 3143, 2339, 875, 1454, 789, 2119, 547, 3625, 856, 891, 2942, 4664, 267, 789, 7283, 796, 637, 9407, 538, 519, 32436, 269, 9701, 519, 7985, 7832, 2390, 513, 7552, 538, 891, 17173, 1272, 2173, 558, 757, 267, 5103, 875, 1114, 938, 12194, 616, 267, 789, 5431, 602, 519, 2014, 540, 938, 2942, 2833, 2482, 538, 835, 540, 1614, 2596, 3270, 563, 268, 21824, 540, 9668, 454, 268, 21824, 540, 1970, 1582, 12635, 454, 268, 21824, 540, 19169, 543, 3972, 454, 19675, 519, 4250, 610, 943, 14113, 581, 2451, 15860, 267, 543, 1058, 519, 4299, 1268, 1995, 711, 2614, 1489, 689, 2828, 267, 29872, 1734, 267, 1071, 22086, 619, 267, 543, 1920, 267, 891, 12194, 543, 943, 984, 5362, 666, 2196, 519, 2729, 540, 519, 4299, 1268, 543, 1291, 547, 556, 1816, 4369, 267, 10072, 267, 543, 1256, 1244, 11306, 269, 1912, 984, 5362, 666, 11874, 3310, 519, 1272, 540, 513, 1367, 563, 8489, 798, 943, 984, 5362, 2097, 689, 888, 2467, 616, 1134, 936, 476, 4335, 6444, 943, 984, 5362, 269, 4107, 12194, 543, 943, 984, 5362, 3622, 666, 581, 14360, 1394, 547, 519, 3355, 22740, 1944, 2680, 630, 30990, 264, 602, 5932, 606, 3929, 8417, 543, 835, 1437, 908, 2680, 630, 10440, 834, 16149, 776, 22740, 1944, 2680, 2108, 610, 9399, 292, 1040, 634, 4959, 292, 5932, 513, 4909, 2942, 3929, 22740, 1436, 269, 9453, 1256, 6616, 621, 267, 9399, 292, 6770, 519, 1482, 2942, 4664, 883, 513, 1007, 3510, 610, 519, 3510, 1141, 519, 943, 14113, 1631, 814, 2919, 269, 1452, 949, 581, 2901, 1079, 5094, 20825, 610, 835, 2582, 2680, 269, 901, 1880, 2680, 949, 711, 8209, 2014, 513, 943, 14113, 855, 1223, 581, 835, 538, 513, 3126, 540, 2147, 2621, 1141, 519, 4299, 1268, 814, 1831, 5051, 267, 11874, 22740, 1242, 563, 763, 3355, 22740, 1944, 2680, 1705, 711, 711, 723, 547, 581, 1360, 15779, 693, 519, 942, 269, 1717, 267, 693, 713, 1448, 538, 942, 267, 519, 4299, 1268, 729, 5693, 711, 538, 513, 2990, 547, 14156, 11883, 609, 519, 3510, 267, 799, 1131, 723, 4334, 5944, 267, 693, 606, 2663, 543, 811, 811, 9921, 3942, 538, 1272, 267, 1044, 711, 513, 1966, 269, 898, 1281, 711, 2339, 952, 519, 8594, 729, 5693, 1459, 610, 22466, 269, 634, 3929, 3210, 543, 5924, 5179, 3527, 941, 19526, 2476, 543, 1065, 5962, 267, 543, 519, 3929, 543, 2009, 5179, 6114, 941, 616, 15534, 543, 616, 4448, 547, 519, 3355, 2680, 269, 634, 3965, 540, 713, 2680, 1131, 581, 7184, 31960, 883, 519, 32436, 2247, 543, 519, 6857, 7071, 540, 519, 10071, 1131, 581, 1970, 610, 1875, 7721, 11962, 269, 1403, 519, 2680, 729, 1360, 23892, 267, 519, 11213, 3965, 1131, 723, 1044, 4625, 1065, 5962, 267, 607, 513, 7271, 540, 1582, 3491, 339, 1254, 267, 2394, 519, 4299, 1268, 568, 4712, 547, 4308, 609, 519, 2680, 563, 1607, 9399, 292, 13976, 2390, 519, 10335, 540, 519, 3312, 3355, 22740, 1944, 2680, 4433, 1040, 1403, 2614, 540, 891, 2621, 616, 4810, 267, 519, 4250, 267, 799, 15748, 713, 1184, 267, 10953, 883, 513, 943, 14113, 269, 634, 2078, 1063, 519, 3355, 22740, 1944, 2680, 4433, 264, 543, 519, 4890, 943, 14113, 1522, 711, 2408, 9266, 267, 855, 972, 568, 606, 3929, 4276, 269, 2755, 519, 3355, 22740, 1944, 2680, 1223, 581, 3379, 547, 519, 10380, 543, 726, 19982, 538, 540, 513, 3684, 267, 621, 3788, 26862, 2394, 2576, 7140, 621, 593, 269, 2311, 713, 1448, 267, 519, 1437, 908, 2680, 568, 899, 1166, 6235, 519, 6467, 593, 519, 943, 14113, 563, 1692, 1281, 513, 5289, 3834, 16915, 948, 609, 707, 12194, 543, 943, 984, 5362, 888, 268, 898, 6087, 1569, 538, 4466, 519, 4890, 2014, 540, 519, 1966, 543, 20547, 31411, 6547, 563, 268, 1912, 984, 5362, 616, 7184, 6079, 539, 538, 938, 32436, 543, 4652, 14766, 741, 3196, 693, 519, 1377, 540, 9637, 269, 15394, 267, 789, 616, 1759, 593, 2833, 689, 519, 2250, 269, 14523, 2254, 515, 2805, 6087, 606, 1620, 540, 891, 2025, 8823, 543, 513, 4098, 547, 1100, 3476, 13498, 891, 8823, 607, 513, 3463, 563, 268, 5015, 267, 519, 2620, 5498, 17660, 543, 1279, 3964, 6208, 910, 327, 3058, 513, 4250, 540, 11784 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 519, 1514, 3961, 3069, 630, 338, 527, 264, 568, 513, 3069, 538, 799, 519, 2241, 4214, 540, 621, 568, 621, 31234, 602, 1895, 15376, 5932, 538, 31228, 270, 1345, 2275, 1538, 528, 1436, 543, 19349, 538, 2081, 602, 3870, 519, 538, 31228, 693, 519, 13258, 540, 519, 856, 31228, 269, 4317, 3961, 3069, 543, 922, 1764, 593, 1004, 779, 6547, 547, 4620, 1503, 20313, 17259, 1557, 513, 3817, 281, 278, 1913, 281, 12293, 274, 713, 568, 1175, 513, 3732, 1514, 3961, 3069, 543, 922, 1764, 593, 1004, 779, 6547, 547, 4620, 1503, 20313, 17259, 971, 607, 519, 968, 25791, 3961, 3069, 892, 723, 3144, 1747, 1514, 3961, 3069, 568, 513, 3069, 1759, 593, 1895, 269, 4317, 3961, 3069, 538, 4984, 1557, 910, 1514, 3961, 3069, 538, 4984, 538, 713, 4603, 1775, 1616, 547, 1265, 856, 2436, 1514, 3961, 3069, 1568, 538, 4984, 1101, 569, 267, 1775, 1131, 2322, 606, 6994, 538, 513, 2199, 11356, 6998, 952, 4896, 6499, 547, 1491, 851, 538, 606, 4603, 585, 2947, 6550, 563, 12892, 3961, 3069, 568, 513, 3069, 799, 568, 5497, 547, 2491, 875, 1004, 1020, 513, 2631, 540, 10362, 543, 15376, 538, 1880, 2516, 267, 543, 875, 519, 25029, 540, 954, 16766, 7130, 960, 1514, 3961, 3069, 4249, 606, 1271, 1909, 538, 519, 1353, 540, 1514, 6530, 269, 4317, 3961, 3069, 630, 32508, 3333, 2033, 1299, 2848, 523, 267, 476, 1001, 273, 267, 6032, 476, 6924, 1700, 7597, 264, 10039, 547, 713, 2013, 538, 602, 887, 322, 3559, 548, 581, 879, 1636, 814, 606, 8763, 2631, 540, 1200, 1514, 3961, 607, 513, 4807, 543, 4759, 540, 513, 7298, 12102, 538, 513, 2359, 2990, 269, 968, 534, 14745, 540, 476, 273, 1514, 5626, 2035, 609, 4704, 547, 519, 4670, 29770, 332, 20488, 587, 509, 630, 1220, 279, 264, 892, 519, 3483, 540, 713, 1557, 568, 547, 2491, 519, 2035, 267, 519, 3168, 3766, 20199, 1582, 543, 1514, 3961, 855, 849, 875, 891, 2035, 616, 11609, 538, 1880, 10207, 267, 3197, 610, 2621, 538, 519, 4670, 2048, 332, 20488, 685, 630, 1220, 279, 563, 288, 1268, 781, 3961, 568, 3989, 676, 1896, 2188, 267, 971, 607, 7915, 543, 16916, 10305, 267, 8965, 4806, 267, 607, 1134, 607, 519, 1004, 646, 24172, 27498, 609, 713, 2022, 7710, 875, 519, 1514, 1895, 602, 835, 568, 513, 851, 540, 2337, 5581, 938, 2631, 540, 1582, 543, 1866, 267, 607, 3989, 676, 519, 1514, 3961, 3069, 269, 4317, 3961, 1557, 1806, 476, 1321, 2698, 2164, 606, 2079, 540, 1510, 1514, 3961, 593, 3638, 731, 795, 523, 9469, 476, 272, 267, 9610, 1913, 476, 274, 3817, 513, 1353, 540, 1514, 3961, 6436, 538, 1367, 626, 543, 2445, 22999, 4529, 476, 275, 267, 8099, 1913, 476, 280, 3817, 606, 4367, 547, 519, 2079, 540, 1514, 3961, 476, 272, 267, 4281, 278, 1913, 476, 275, 3817, 269, 4317, 3961, 3069, 1557, 1514, 3961, 3069, 729, 2919, 676, 2490, 518, 543, 512, 2378, 329, 601, 519, 3069, 11394, 547, 2491, 519, 1894, 1851, 2516, 607, 9763, 689, 513, 1895, 5133, 519, 13429, 676, 519, 3069, 568, 602, 2043, 616, 9141, 676, 519, 7287, 547, 12492, 513, 2318, 1514, 3961, 630, 339, 11336, 543, 544, 26710, 5417, 600, 476, 1960, 275, 267, 533, 476, 8618, 269, 4317, 3961, 3069, 814, 1044, 6594, 585, 1296, 609, 930, 540, 519, 1034, 2487, 7760, 1500, 538, 476, 1960, 280, 543, 476, 1220, 277, 621, 6763, 547, 2601, 602, 607, 2486, 2242, 267, 865, 786, 519, 3344, 540, 713, 3069, 269, 634, 1565, 6364, 585, 713, 3992, 568, 6218, 1514, 3961, 3069, 267, 1818, 4704, 547, 4143, 2090, 713, 1797, 602, 538, 1840, 547, 1620, 519, 3069, 267, 1053, 1590, 581, 2111, 547, 1683, 12170, 1489, 607, 1134, 607, 6218, 519, 3069, 563, 763, 1557, 4927, 2417, 5581, 1018, 568, 5921, 676, 519, 1514, 3961, 1935, 267, 543, 1210, 713, 4214, 786, 3801, 547, 9691, 1174, 519, 1523, 540, 968, 548, 611, 11429, 892, 519, 1514, 3961, 3069, 630, 338, 527, 264, 30193, 1514, 689, 2123, 3961, 267, 10747, 519, 5449, 607, 1346, 3344, 540, 1582, 267, 1759, 2390, 741, 1514, 1895, 15376, 269, 901, 3184, 12857, 1896, 1883, 2152, 4478, 1514, 3961, 267, 1519, 1106, 543, 1543, 267, 4879, 267, 1646, 543, 1689, 267, 543, 3961, 19908, 1775, 1523, 687, 543, 8847, 968, 1211, 640, 892, 568, 513, 2165, 602, 568, 4922, 1031, 543, 267, 607, 513, 12343, 267, 666, 1611, 1082, 1114, 1919, 547, 1114, 1004, 269, 20212, 538, 519, 1259, 3961, 568, 12497, 2213, 676, 519, 26447, 3069, 540, 3961, 543, 1514, 3961, 3069, 3961, 4249, 606, 1271, 1909, 538, 519, 1272, 540, 1004, 2436, 538, 513, 1514, 2796, 610, 2123, 563, 1607, 1557, 786, 4766, 1079, 540, 519, 7986, 6436, 1107, 26447, 543, 1514, 3961, 3069, 1107, 543, 2491, 930, 540, 519, 3604, 1063, 873, 607, 519, 1292, 1448, 267, 621, 786, 4334, 519, 1367, 1935, 540, 519, 26447, 2203, 609, 519, 1895, 1935, 540, 1514, 3961, 3069, 269, 4317, 3961, 3069, 630, 338, 527, 264, 1131, 2491, 602, 519, 14038, 723, 1114, 1514, 9163, 543, 2070, 1142, 824, 607, 10362, 547, 856, 25364, 1317, 540, 1514, 6476, 789, 5806, 3729, 1996, 856, 25364, 267, 799, 6941, 519, 2012, 2275, 16226, 269, 4828, 827, 2500, 5718, 543, 1514, 3961, 3069, 1641, 540, 2500, 5718, 8726, 519, 3919, 781, 3609, 593, 8939, 519, 5718, 1895, 568, 267, 971, 607, 547, 3895, 689, 1369, 610, 547, 16926, 689, 3544, 267, 1034, 3919, 781, 3401, 1118, 3664, 1510, 513, 2407, 1620, 540, 5718, 6436, 563, 12892, 3961, 568, 513, 1268, 779, 2631, 540, 945, 789, 616, 1759, 593, 741, 1895, 15376, 4433, 264, 1175, 547, 556, 30185, 267, 538, 1514, 3961, 3069, 519, 1895, 15376, 568, 711, 1945, 4914, 610, 5841, 799, 568, 7923, 5196, 519, 1268, 267, 621, 568, 513, 1483, 267, 3020, 543, 4105, 851, 540, 519, 1268, 269, 4317, 3961, 3069, 814, 513, 9645, 1764, 593, 1514, 6530, 621, 568, 7318, 538, 513, 2647, 2039, 540, 4610, 543, 5468, 543, 2882, 14882, 267, 8305, 19685, 267, 19908, 543, 1893, 946, 519, 3069, 814, 849, 6286, 593, 519, 1259, 1004, 4308, 609, 1514, 543, 10721, 1689, 269, 4828, 593, 1514, 3961, 3069, 1514, 3961, 3069, 3091, 513, 1514, 5626, 7778, 540, 954, 16766, 14882, 267, 7130, 267, 543, 4655, 922, 8129, 9114, 538, 519, 960, 540, 18911, 686, 512, 1690, 325, 601, 630, 339, 1690, 325, 601, 1299, 2490, 518, 476, 3192, 280, 264, 543, 1010, 27498, 945, 723, 1044, 15747, 538, 519, 1646, 540, 513, 3982, 569, 24067, 1935, 547, 6530, 269, 4317, 3961, 543, 954, 16766, 1894, 568, 12995, 676, 267, 543, 3568, 7418, 689, 267, 519, 5169, 2209, 540, 1514, 3961, 3069, 267, 14646, 2490, 518, 543, 18911, 686, 512, 1690, 325, 601, 8100, 2490, 518, 267, 795, 524, 267, 1299, 512, 1690, 325, 601, 267, 554, 630, 2735, 277, 269, 0, 290, 1746, 1382, 1957, 2959, 454, 290, 1746, 8100, 538, 3621, 1382, 4574, 16432, 676, 4626, 18333, 512, 782, 523, 267, 15428, 476, 1220, 271, 713, 1957, 7494, 21040, 2390, 513, 30453, 8385, 5423, 676, 606, 269, 8080, 547, 519, 1625, 16746, 22559, 1625, 16746, 22559, 1603, 713, 1858, 2882, 1570, 593, 844, 7627, 543, 22950, 337, 2084, 707, 1382, 2959, 607, 1134, 607, 16643, 3732, 4574, 269, 1215, 547, 13712, 513, 3113, 538, 513, 1957, 3006, 596, 949, 1265, 621, 3730, 547, 1331, 513, 3113, 689, 1776, 2707, 950, 1603, 513, 1382, 1957, 713, 568, 11807, 952, 596, 2285, 269, 1215, 547, 13712, 824, 2959, 538, 707, 1957, 814, 513, 1434, 2546, 585, 19696, 1357, 2959, 281, 1616, 689, 513, 1382, 2376, 568, 606, 6662, 1267, 563, 2467, 616, 1082, 1114, 2081, 547, 13712, 1382, 2959, 713, 1505, 910, 2385, 16375, 11239, 910, 568, 4867, 1034, 538, 3870, 269, 2368, 540, 519, 7840, 585, 19696, 616, 19696, 2959, 538, 713, 3381, 6941, 875, 547, 13712, 707, 2959, 538, 519, 1257, 540, 707, 1382, 1957, 269, 595, 1746, 2959, 968, 514, 1382, 1603, 267, 2959, 616, 11855, 585, 1079, 5969, 543, 2250, 532, 689, 513, 3099, 540, 2959, 1510, 19696, 519, 2959, 9657, 606, 2025, 1957, 269, 7442, 320, 11239, 1806, 19696, 513, 2707, 1369, 513, 2707, 855, 1590, 2697, 519, 2707, 5693, 538, 519, 1257, 540, 707, 1957, 585, 1383, 269, 1215, 798, 1775, 13712, 2959, 596, 616, 1152, 19696, 519, 2707, 547, 1118, 513, 616, 1447, 703, 28424, 543, 786, 711, 14443, 519, 2095, 540, 707, 1957, 952, 1775, 13712, 2959, 538, 519, 563, 16240, 1697, 1382, 4574, 27167, 6616, 513, 2603, 540, 1919, 835, 540, 1346, 1919, 602, 616, 2808, 547, 581, 540, 14063, 2956, 568, 5265, 19696, 1382, 4574, 269, 595, 1746, 8100, 538, 2172, 328, 16667, 524, 1382, 524, 1382, 4574, 538, 1931, 547, 11760, 707, 2959, 543, 8100, 538, 2172, 328, 16667, 524, 1382, 4574, 5291, 269, 595, 1746, 513, 1837, 538, 15986, 3898, 568, 519, 1482, 607, 19696, 1022, 824, 2186, 540, 1433, 267, 543, 602, 3322, 4358, 609, 519, 2278, 543, 1739, 609, 519, 2140, 543, 563, 1692, 547, 13712, 2228, 2959, 15986, 25156, 585, 5830, 540, 1382, 1957, 267, 476, 278, 555, 1196, 891, 7270, 786, 1118, 19696, 2959, 1360, 2653, 676, 4758, 596, 10145, 269, 898, 568, 1271, 547, 1683, 3617, 5491, 547, 519, 1913, 610, 2093, 540, 1866, 538, 707, 1957, 267, 865, 519, 7143, 548, 7315, 5399, 3091, 2645, 593, 875, 547, 13712, 2959, 538, 16643, 267, 15986, 269, 3194, 543, 2165, 1957, 11239, 4367, 543, 3391, 1451, 875, 543, 950, 547, 13712, 267, 2010, 540, 2959, 543, 1808, 2511, 10274, 269, 595, 1746, 2959, 281, 15986, 1382, 1957, 267, 1519, 24185, 267, 4967, 267, 543, 519, 1592, 540, 1568, 11855, 519, 1079, 2081, 540, 19696, 519, 2376, 1657, 563, 308, 322, 10874, 18403, 5399, 19696, 707, 2959, 11239, 2359, 3301, 666, 948, 10891, 1382, 2164, 543, 1118, 1603, 4574, 4443, 676, 2870, 563, 5629, 707, 1382, 568, 25093, 596, 786, 991, 547, 581, 2111, 547, 1201, 1371, 596, 339, 5098, 543, 2638, 547, 1118, 2386, 596, 616, 1210, 707, 2707, 1570, 7157, 269, 9628, 281, 4967, 2511, 538, 669, 8522, 781, 12319, 2511, 476, 272, 267, 849, 1634, 607, 4967, 1106, 267, 519, 946, 540, 1382, 2959, 568, 8612, 538, 519, 1257, 269, 634, 897, 3518, 807, 2511, 729, 2813, 676, 23891, 823, 678, 3802, 518, 543, 14131, 512, 11336, 547, 2285, 2143, 4808, 585, 19696, 4950, 2959, 1382, 4574, 267, 3226, 11239, 269, 1879, 547, 13712, 2959, 2523, 538, 513, 3476, 1382, 1957, 519, 4441, 540, 4081, 8699, 2154, 1312, 19696, 519, 2707, 538, 519, 1257, 540, 707, 1557, 543, 269, 898, 779, 1419, 3730, 547, 2697, 707, 2707, 538, 519, 1560, 540, 707, 1957, 607, 606, 1271, 2707, 538, 707, 1382, 568, 711, 19696, 4950, 2959, 19696, 563, 12709, 1382, 1489, 19696, 2959, 19696, 2959, 16643, 849, 1294, 1820, 4528, 669, 8522, 849, 1294, 1820, 4528, 610, 2228, 630, 706, 651, 1152, 269, 3371, 616, 930, 2188, 547, 2015, 950, 19696, 2959, 281, 476, 272, 1034, 1382, 4574, 1058, 1331, 513, 3099, 540, 2959, 689, 519, 547, 602, 1353, 609, 1382, 689, 269, 595, 1746, 568, 4443, 609, 2653, 321, 756, 1260, 543, 513, 2370, 4001, 596, 875, 547, 3898, 707, 1957, 543, 1711, 593, 875, 547, 13712, 1114, 2959, 538, 269, 631, 5055, 2511, 281, 19696, 2959, 543, 11249, 711, 1152, 1281, 513, 1434, 1382, 1957, 1331, 9488, 1382, 543, 15826, 2079, 267, 621, 5205, 1808, 269, 0, 291, 1047, 1162, 543, 4915, 1282, 519, 10120, 454, 8469, 8148, 4915, 543, 3676, 513, 261, 338, 1362, 6026, 538, 519, 1193, 517, 724, 1245, 540, 6370, 4224, 269, 1520, 6929, 1368, 345, 2006, 1743, 554, 3089, 629, 2465, 7005, 476, 271, 6078, 562, 4912, 476, 277, 267, 476, 1001, 274, 3676, 543, 4915, 1282, 519, 10120, 6502, 1282, 519, 10120, 942, 1974, 267, 7972, 689, 3676, 941, 269, 589, 6281, 1153, 14469, 4199, 585, 28168, 1686, 827, 1153, 1686, 3785, 267, 10120, 543, 25174, 4915, 269, 634, 3670, 1193, 836, 652, 10120, 3676, 621, 4667, 2693, 602, 519, 2068, 729, 811, 1455, 1282, 3909, 23929, 538, 519, 22344, 5939, 543, 538, 2442, 4915, 269, 19744, 4915, 281, 1072, 543, 2068, 538, 519, 596, 543, 8744, 873, 16180, 707, 8655, 5107, 1282, 1362, 2038, 10120, 4915, 269, 3509, 28991, 545, 13500, 1500, 14222, 8906, 538, 782, 3344, 540, 4915, 1282, 519, 28991, 545, 4915, 799, 6257, 1896, 3676, 543, 8638, 519, 563, 9596 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2150, 830, 569, 8429, 695, 809, 721, 782, 269, 1809, 1010, 9371, 2729, 593, 998, 519, 9118, 2729, 646, 20109, 267, 1519, 9553, 269, 594, 786, 11014, 581, 18507, 585, 1010, 24960, 545, 3646, 267, 799, 4547, 1004, 1927, 543, 15469, 1514, 7862, 538, 971, 513, 7096, 1259, 269, 898, 1175, 4422, 547, 1397, 602, 835, 1268, 666, 1118, 513, 1713, 1764, 267, 11121, 1866, 547, 798, 519, 1482, 269, 0, 2237, 513, 1650, 538, 519, 2511, 540, 1483, 3734, 3871, 602, 1004, 2671, 538, 15473, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 912, 22081, 1705, 918, 12786, 21563, 656, 781, 24960, 344, 948, 547, 8115, 7292, 17337, 543, 3895, 1514, 7862, 888, 298, 12786, 21563, 656, 781, 24960, 344, 5280, 547, 8115, 7292, 17337, 543, 3895, 1514, 7862, 538, 1896, 2081, 1384, 272, 269, 26472, 4763, 543, 10014, 281, 918, 12786, 781, 24960, 545, 3646, 941, 5059, 593, 5009, 4763, 543, 10014, 538, 5026, 543, 2069, 269, 1261, 3964, 519, 918, 12786, 543, 11709, 612, 320, 21563, 656, 7731, 7690, 630, 298, 309, 289, 13697, 264, 538, 476, 1220, 278, 267, 799, 2488, 3255, 585, 1762, 1004, 547, 7119, 538, 5026, 267, 2069, 267, 543, 2146, 3028, 7488, 540, 741, 5198, 267, 4008, 267, 610, 2804, 4567, 780, 273, 269, 25417, 9207, 5703, 2950, 281, 918, 12786, 8362, 6462, 9207, 5703, 2950, 676, 1810, 908, 6634, 540, 9489, 547, 1585, 1347, 885, 602, 1445, 593, 3246, 3872, 3255, 547, 896, 1440, 643, 850, 3022, 6107, 269, 3571, 3646, 547, 1683, 1863, 2069, 543, 29013, 547, 27797, 1453, 723, 5280, 547, 8115, 519, 7934, 1063, 1114, 7292, 2516, 780, 274, 269, 4635, 1010, 3760, 547, 3895, 1514, 5126, 281, 918, 12786, 729, 13047, 10640, 763, 1650, 2115, 547, 1331, 513, 8903, 543, 6397, 4729, 6335, 269, 2659, 2239, 1058, 13469, 609, 519, 13597, 543, 2123, 5905, 1336, 538, 8468, 5717, 269, 3417, 11541, 2621, 543, 3929, 3178, 563, 0, 5149, 476, 275, 281, 634, 774, 18115, 540, 808, 24065, 532, 281, 1284, 777, 976, 267, 14022, 528, 267, 543, 932, 2526, 787, 692, 1103, 519, 2295, 540, 519, 5664, 12698, 267, 1063, 519, 476, 276, 628, 543, 476, 1428, 628, 5553, 267, 513, 4241, 1158, 540, 29843, 543, 741, 9479, 540, 2932, 26970, 519, 9345, 540, 1004, 2066, 2342, 269, 6239, 547, 713, 1158, 729, 519, 18546, 4328, 7328, 540, 795, 24065, 532, 267, 1141, 9952, 7504, 5443, 804, 14414, 9624, 519, 887, 2130, 24921, 269, 901, 1770, 786, 5490, 883, 519, 14960, 540, 713, 3504, 2250, 830, 267, 4481, 6313, 922, 3119, 9604, 910, 561, 1734, 543, 24915, 910, 2059, 609, 519, 7096, 1764, 540, 669, 2526, 787, 593, 891, 733, 3949, 269, 3414, 3695, 11174, 3140, 5708, 1305, 538, 10120, 2342, 267, 649, 786, 2744, 4030, 883, 875, 4589, 723, 18955, 8941, 1472, 891, 4798, 1247, 8220, 873, 547, 4207, 2152, 780, 296, 269, 700, 1734, 281, 4325, 1513, 540, 13082, 543, 8381, 454, 288, 269, 14716, 543, 5071, 454, 272, 269, 570, 559, 1154, 561, 1734, 281, 23850, 585, 2582, 8396, 267, 7893, 909, 547, 476, 1321, 3952, 1279, 267, 1500, 540, 2182, 6229, 630, 7945, 607, 11849, 1070, 512, 5792, 609, 5374, 2798, 1572, 8318, 1023, 563, 273, 269, 13379, 539, 4388, 281, 10705, 18674, 609, 4401, 13164, 2282, 519, 9133, 267, 4946, 2527, 543, 2810, 1761, 3441, 2390, 1764, 563, 274, 269, 590, 1002, 614, 762, 1374, 281, 1677, 2327, 31115, 3106, 267, 18705, 865, 602, 2390, 3346, 267, 519, 561, 766, 1131, 10943, 5793, 2864, 982, 533, 15127, 998, 519, 18545, 781, 1560, 610, 24915, 780, 289, 269, 9828, 543, 11150, 454, 272, 269, 21676, 3481, 561, 3496, 281, 6396, 5473, 8066, 519, 561, 766, 896, 1301, 267, 3850, 5021, 3196, 693, 519, 1448, 540, 16580, 563, 273, 269, 27010, 10851, 281, 4787, 2683, 29843, 6322, 585, 1808, 2127, 540, 741, 10779, 2456, 267, 899, 519, 6089, 30066, 610, 26958, 267, 21924, 8710, 1871, 1510, 4929, 4049, 5945, 563, 274, 269, 9710, 9895, 15201, 23258, 281, 21988, 795, 537, 9094, 2838, 11108, 3666, 267, 1852, 267, 543, 12557, 950, 22745, 6285, 1247, 14964, 693, 2407, 7086, 641, 780, 2862, 269, 14022, 528, 281, 13363, 633, 1773, 919, 543, 12379, 1127, 454, 288, 269, 1280, 3101, 543, 22960, 532, 454, 272, 269, 20456, 21166, 688, 21310, 802, 281, 3955, 15062, 539, 4496, 14034, 3246, 8112, 543, 8878, 1996, 1793, 4770, 9514, 338, 563, 273, 269, 17934, 21166, 23937, 281, 26431, 5189, 1310, 519, 476, 1724, 628, 2540, 267, 4396, 5374, 10824, 5356, 9120, 4027, 543, 6551, 7190, 563, 274, 269, 16949, 540, 1200, 12245, 787, 281, 7731, 900, 21793, 10268, 23217, 593, 1147, 1723, 1846, 546, 1905, 539, 936, 24915, 267, 7674, 607, 1541, 13294, 1282, 4663, 23788, 780, 289, 269, 23977, 1676, 3809, 543, 22388, 1889, 9778, 454, 272, 269, 717, 2355, 543, 694, 4461, 281, 6736, 7347, 4070, 267, 4617, 9634, 7283, 1813, 547, 13994, 1637, 4170, 282, 3976, 267, 14950, 3429, 543, 31910, 1540, 23157, 12816, 18284, 563, 273, 269, 18671, 660, 8194, 4145, 281, 9282, 10355, 14603, 267, 5222, 1223, 1267, 538, 7745, 7633, 267, 6677, 21631, 267, 610, 824, 7063, 282, 8754, 267, 29658, 3652, 7960, 547, 7413, 4220, 563, 274, 269, 11627, 725, 538, 3210, 281, 3683, 942, 267, 9283, 971, 607, 1471, 1819, 927, 916, 267, 18215, 23640, 267, 543, 14950, 4765, 818, 2719, 11503, 7153, 267, 7393, 2949, 3106, 780, 7656, 269, 932, 2526, 787, 281, 2871, 4575, 14362, 543, 13756, 454, 288, 269, 26758, 1242, 8943, 540, 18430, 454, 272, 269, 27254, 281, 772, 874, 13783, 2123, 8699, 267, 5168, 6888, 267, 543, 2463, 2509, 1866, 563, 273, 269, 12876, 1145, 281, 4676, 6748, 11802, 998, 13587, 527, 610, 30217, 344, 267, 8508, 9237, 6735, 3079, 563, 274, 269, 595, 5971, 281, 23227, 908, 4250, 16531, 267, 4557, 13369, 267, 543, 16177, 538, 3068, 540, 2591, 780, 289, 269, 13335, 1369, 808, 24065, 532, 15638, 454, 272, 269, 12875, 24842, 3919, 281, 1520, 11447, 547, 24441, 4808, 4180, 2497, 267, 1931, 267, 543, 15984, 547, 5026, 26206, 16431, 563, 273, 269, 25166, 8973, 27089, 281, 30410, 8240, 13752, 1759, 593, 5789, 3218, 1190, 2773, 267, 8716, 4075, 6681, 2623, 1851, 5171, 563, 274, 269, 5398, 22987, 281, 21673, 566, 540, 4509, 1164, 4441, 2016, 519, 22423, 2470, 540, 1804, 9458, 267, 5807, 12477, 780, 17457, 17583, 281, 4860, 1516, 28673, 543, 30007, 454, 297, 24065, 532, 814, 4810, 759, 4026, 1878, 2429, 1686, 267, 1034, 16113, 538, 11193, 4023, 338, 543, 556, 523, 716, 618, 7239, 2221, 269, 7073, 9439, 11441, 585, 13597, 1247, 7598, 3106, 3800, 28998, 538, 10120, 2053, 269, 5047, 267, 2413, 3332, 4749, 7710, 10120, 5468, 543, 9821, 267, 6220, 2609, 540, 795, 24065, 532, 267, 561, 1734, 267, 24915, 267, 543, 669, 2526, 787, 883, 2502, 6386, 269, 1635, 4974, 891, 5931, 7258, 3140, 5638, 267, 3988, 666, 5660, 519, 15851, 27559, 540, 713, 3504, 2259, 543, 2992, 593, 938, 4797, 22906, 609, 2984, 540, 29752, 29843, 3808, 676, 8956, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 8469, 8148, 795, 24065, 532, 729, 513, 13858, 4715, 12386, 602, 9676, 519, 12271, 543, 8186, 540, 1004, 585, 5553, 269, 2311, 519, 4099, 540, 713, 17938, 1791, 908, 7328, 941, 519, 3119, 9604, 540, 795, 24065, 532, 1107, 561, 1734, 543, 24915, 269, 1452, 9604, 941, 2629, 547, 513, 27585, 779, 1967, 538, 519, 795, 24065, 532, 26750, 267, 543, 519, 3009, 540, 669, 2526, 787, 729, 3844, 547, 741, 946, 563, 763, 21266, 1154, 561, 766, 729, 519, 3119, 795, 24065, 532, 14049, 1031, 676, 29843, 267, 543, 621, 729, 2966, 547, 581, 1312, 1279, 543, 19756, 269, 808, 24065, 532, 695, 3658, 941, 849, 606, 1898, 5057, 540, 513, 27585, 779, 19070, 531, 267, 607, 789, 3177, 3606, 4027, 1996, 17837, 685, 561, 1734, 563, 2419, 2526, 787, 18170, 519, 2932, 540, 29843, 1282, 795, 24065, 532, 19194, 267, 10771, 519, 2418, 540, 8956, 267, 14619, 267, 543, 22838, 269, 1452, 5837, 543, 5683, 3741, 941, 607, 1271, 607, 519, 9604, 2933, 543, 5129, 513, 1883, 1909, 538, 5935, 519, 7328, 540, 795, 24065, 532, 563, 268, 634, 3119, 9604, 540, 10120, 795, 24065, 532, 941, 561, 1734, 543, 24915, 563, 268, 634, 21266, 1154, 561, 766, 729, 519, 3119, 795, 24065, 532, 14049, 1031, 676, 29843, 563, 268, 808, 24065, 532, 695, 3658, 941, 18222, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23515, 16337, 1315, 8466, 1315, 2342, 1315, 19744, 12928, 2074, 543, 932, 2526, 787, 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, 29460, 513, 8479, 24573, 584, 281, 590, 2454, 2659, 27065, 692, 5970, 596, 2479, 26927, 3139, 827, 7487, 707, 2012, 593, 519, 3382, 540, 513, 1433, 286, 2107, 6148, 596, 4312, 2813, 513, 3579, 8798, 543, 6999, 596, 1223, 6133, 621, 547, 1004, 782, 936, 519, 1158, 269, 1306, 513, 1647, 1153, 2875, 267, 596, 949, 1589, 602, 891, 9909, 616, 2484, 2476, 267, 855, 972, 616, 2965, 3268, 596, 666, 1491, 1631, 547, 1376, 2679, 707, 29426, 1983, 256, 2913, 781, 2263, 875, 596, 666, 2490, 707, 5876, 883, 513, 1870, 676, 1565, 827, 5339, 8069, 543, 2757, 13629, 8075, 780, 5575, 267, 1577, 781, 4952, 602, 596, 723, 6170, 3275, 630, 528, 1256, 1296, 14386, 3501, 532, 707, 1360, 1378, 1650, 269, 1411, 3494, 602, 1082, 824, 3214, 1131, 2972, 2542, 707, 1433, 543, 2469, 593, 519, 1482, 7045, 607, 707, 3197, 269, 1809, 875, 798, 596, 1205, 707, 1433, 856, 972, 585, 3025, 547, 1294, 286, 901, 568, 1141, 513, 5339, 8665, 666, 948, 780, 288, 5339, 8665, 568, 2576, 945, 1568, 5702, 609, 4589, 547, 2099, 741, 2835, 547, 21101, 269, 6056, 540, 873, 899, 27568, 585, 5830, 256, 1358, 946, 741, 4296, 543, 6791, 547, 6338, 9735, 2984, 267, 1175, 899, 16523, 267, 547, 519, 1318, 1004, 538, 519, 13629, 2872, 269, 3767, 267, 596, 1522, 4898, 1946, 4589, 991, 2576, 3116, 547, 2911, 547, 21101, 585, 873, 269, 4270, 267, 3677, 13629, 3549, 1419, 4309, 5215, 540, 22347, 3827, 1169, 1032, 269, 1677, 1118, 2386, 707, 12377, 3085, 1405, 1205, 4503, 1851, 782, 1346, 3817, 267, 2348, 513, 9952, 5339, 8665, 14957, 585, 707, 960, 4679, 922, 8458, 540, 1373, 8068, 780, 3719, 1018, 4010, 1281, 513, 5339, 8665, 1413, 585, 950, 14045, 799, 2835, 789, 786, 1489, 286, 4107, 11932, 267, 789, 3406, 585, 2189, 9739, 543, 3312, 2093, 269, 3397, 757, 1616, 547, 1265, 2984, 602, 1796, 856, 1317, 540, 741, 8903, 13602, 267, 11541, 3197, 267, 543, 4190, 1893, 269, 3958, 267, 8069, 2015, 2436, 513, 1433, 13352, 1134, 1369, 1699, 3466, 610, 25361, 513, 7934, 538, 519, 2344, 269, 1280, 1383, 267, 952, 596, 5206, 513, 9159, 9814, 3209, 1305, 538, 2230, 267, 513, 5339, 8665, 1522, 581, 9599, 547, 2671, 707, 1433, 609, 1414, 30235, 11655, 945, 2648, 6061, 13410, 780, 4131, 781, 2161, 602, 596, 1336, 519, 3501, 5339, 8665, 945, 14560, 707, 1433, 269, 1548, 4523, 1985, 286, 4495, 707, 8665, 11099, 789, 723, 1336, 519, 4998, 1753, 585, 707, 12377, 267, 789, 786, 10505, 621, 547, 1585, 13629, 8075, 269, 1452, 616, 1804, 3549, 3743, 585, 11049, 267, 8888, 267, 8228, 267, 543, 26084, 2835, 547, 8637, 543, 2228, 21625, 269, 2991, 8391, 707, 12377, 267, 15769, 693, 519, 13629, 2777, 1224, 998, 621, 5402, 543, 6430, 2436, 789, 1616, 547, 1902, 942, 543, 2200, 883, 1818, 621, 1256, 1732, 269, 1403, 7608, 267, 707, 1433, 786, 10929, 1896, 21448, 540, 26941, 1354, 6368, 8757, 3988, 262, 3946, 780, 3086, 267, 596, 1522, 2307, 3054, 267, 834, 1692, 666, 594, 1831, 606, 16724, 1210, 713, 1344, 8119, 4279, 2243, 256, 1635, 1620, 875, 5339, 8069, 543, 13629, 8075, 7500, 267, 596, 666, 2253, 3384 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9097, 3090, 269, 3371, 616, 519, 2185, 3652, 602, 1827, 875, 649, 1521, 4009, 454, 23085, 780, 320, 454, 320, 536, 815, 705, 454, 320, 536, 23751, 321, 692, 288, 513, 454, 288, 513, 645, 536, 815, 9474, 705, 454, 288, 513, 289, 536, 23751, 289, 536, 454, 7078, 476, 274, 454, 8245, 680, 1518, 519, 1739, 4009, 3597, 2042, 692, 320, 264, 476, 279, 476, 273, 692, 321, 264, 476, 274, 476, 275, 476, 275, 476, 274, 692, 322, 264, 476, 1321, 476, 274, 692, 323, 264, 476, 1321, 476, 1015, 476, 277, 476, 276, 692, 320, 264, 476, 279, 476, 273, 815, 476, 1626, 454, 11405, 692, 273, 284, 275, 692, 321, 264, 476, 274, 476, 275, 476, 275, 476, 274, 815, 476, 1321, 476, 1321, 815, 476, 1321, 630, 273, 476, 273, 264, 476, 274, 815, 476, 1321, 476, 273, 476, 274, 454, 11405, 692, 274, 476, 275, 476, 275, 476, 274, 815, 476, 2190, 476, 274, 692, 12893, 692, 4178, 269, 1188, 1321, 3820, 692, 322, 264, 476, 1321, 476, 274, 815, 476, 1321, 454, 275, 454, 274, 21591, 11405, 692, 323, 264, 476, 1321, 476, 1015, 476, 277, 476, 276, 25883, 1321, 454, 277, 692, 1321, 692, 274, 284, 273, 692, 1015, 454, 276, 692, 11405, 692, 1321, 476, 1015, 476, 277, 476, 276, 815, 476, 273, 476, 273, 692, 1012, 20976, 1493, 12384, 24306, 692, 2691, 649, 723, 3501, 10945, 267, 649, 666, 2328, 606, 3169, 10230, 3070, 585, 519, 9030, 4009, 3597, 563, 2691, 649, 723, 835, 610, 811, 10002, 8529, 22136, 538, 519, 3815, 3529, 540, 513, 1297, 267, 2705, 267, 649, 798, 711, 454, 1326, 454, 15759, 518, 454, 11161, 454, 1721, 454, 1492, 454, 338, 13645, 454, 10174, 454, 663, 454, 933, 454, 17647, 454, 16308, 454, 7474, 454, 933, 454, 548, 1511, 454, 320, 454, 514, 454, 1492, 454, 24404, 916, 454, 3697, 454, 273, 2676, 274, 543, 692, 278, 630, 338, 13645, 5072, 540, 6305, 2338, 264, 3112, 581, 2854, 607, 7787, 2338, 269, 2334, 568, 547, 2161, 267, 789, 3112, 454, 2041, 6829, 607, 519, 5223, 540, 1079, 9981, 269, 1284, 1289, 873, 19450, 2338, 269, 769, 8918, 1106, 267, 789, 723, 454, 534, 796, 2056, 267, 9583, 4351, 267, 5569, 540, 2338, 1310, 519, 8918, 1448, 780, 2414, 26998, 16977, 2418, 585, 4009, 5072, 267, 649, 946, 519, 610, 1535, 7735, 593, 513, 9498, 269, 1879, 519, 1297, 454, 933, 616, 26998, 532, 519, 4009, 3597, 540, 568, 513, 3501, 4009, 267, 610, 519, 4009, 540, 513, 7787, 1297, 267, 649, 786, 1205, 606, 454, 1410, 716, 2626, 269, 1879, 519, 1297, 568, 513, 1875, 12656, 2739, 4009, 267, 519, 17447, 786, 2408, 4351, 543, 649, 786, 454, 17647, 606, 19450, 1297, 607, 938, 2626, 269, 1284, 1289, 713, 606, 16977, 2626, 269, 4634, 1498, 649, 949, 454, 17647, 606, 2626, 547, 5216, 610, 8370, 8918, 4025, 267, 621, 1869, 4564, 606, 19406, 540, 519, 1483, 2626, 454, 6518, 814, 606, 7961, 924, 1297, 540, 1875, 3146, 701, 908, 17447, 563, 7078, 476, 275, 454, 8196, 513, 9498, 547, 26998, 519, 1739, 4009, 5072, 269, 18471, 707, 2626, 547, 1614, 8918, 4025, 780, 320, 264, 476, 4200, 692, 321, 264, 476, 276, 692, 322, 264, 476, 271, 269, 276, 692, 323, 264, 476, 272, 269, 4037, 454, 320, 264, 634, 9498, 7024, 476, 280, 269, 280, 5392, 9262, 275, 4391, 272, 563, 11405, 692, 279, 476, 280, 269, 31405, 692, 11405, 692, 276, 476, 273, 269, 26951, 692, 11405, 692, 4178, 269, 1188, 1321, 3820, 692, 271, 269, 276, 476, 271, 269, 3583, 278, 692, 14138, 692, 11405, 692, 272, 269, 4037, 476, 272, 269, 26825, 692, 1012, 10576, 7054, 16884, 10606, 692, 12179, 4009, 3597, 602, 3112, 581, 5187, 1221, 1729, 513, 1106, 1510, 513, 4009, 454, 10174, 568, 19450, 2676, 8117, 711, 782, 454, 338, 13645, 5072, 616, 19450, 563, 2690, 454, 9987, 2676, 5392, 454, 516, 706, 806, 454, 1729, 454, 278, 454, 663, 454, 810, 454, 5392, 454, 529, 454, 16884, 2676, 8117, 454, 2004, 3112, 581, 692, 516, 706, 1027, 325, 1887, 982, 476, 1839, 476, 273, 815, 476, 276, 476, 273, 269, 634, 1249, 602, 649, 3112, 4894, 519, 3815, 540, 4009, 3597, 540, 476, 273, 454, 332, 1389, 476, 2004, 19450, 563, 7078, 476, 276, 454, 26368, 799, 540, 519, 1739, 616, 7787, 2338, 543, 799, 616, 19450, 2338, 563, 320, 264, 476, 2537, 269, 278, 454, 321, 264, 476, 273, 269, 279, 4817, 277, 454, 322, 2020, 323, 264, 476, 277, 692, 324, 264, 476, 274, 269, 2767, 454, 278, 454, 320, 264, 476, 2537, 269, 278, 815, 476, 2537, 476, 1015, 454, 269, 901, 568, 5693, 513, 7787, 1297, 563, 279, 4817, 277, 454, 269, 11088, 267, 713, 568, 513, 7787, 1297, 563, 321, 264, 476, 273, 269, 279, 4817, 277, 815, 476, 273, 476, 1911, 876, 692, 322, 264, 815, 476, 274, 269, 15221, 30020, 4792, 275, 1547, 1547, 1547, 634, 17447, 2408, 4351, 267, 543, 689, 519, 3954, 819, 540, 649, 917, 789, 798, 711, 454, 516, 701, 520, 269, 901, 568, 606, 19450, 1297, 780, 1012, 2408, 547, 581, 4351, 269, 1284, 849, 917, 602, 476, 277, 815, 476, 273, 476, 274, 780, 323, 264, 476, 277, 815, 476, 273, 269, 4510, 280, 5392, 275, 8660, 278, 6246, 1547, 1547, 1547, 11088, 519, 17447, 692, 1012, 12384, 5072, 540, 22136, 616, 19450, 269, 476, 277, 568, 606, 19450, 1297, 780, 284, 476, 274, 269, 26604, 278, 2767, 26604, 278, 1547, 1547, 1547, 4014, 891, 17447, 616, 18596, 789, 616, 6157, 711, 20437, 563, 324, 264, 476, 274, 269, 2767, 454, 284, 476, 3607, 12467, 1607, 568, 513, 7787, 1297, 630, 514, 4890, 1249, 267, 476, 274, 269, 2767, 454, 1556, 692, 1012, 4147, 1518, 7464, 10606, 692, 2171, 666, 1631, 1294, 875, 1483, 2338, 2887, 883, 835, 540, 1896, 6688, 780, 2252, 513, 1483, 1297, 666, 581, 6829, 607, 513, 7787, 1297, 267, 621, 8813, 883, 835, 540, 1079, 6688, 269, 1403, 519, 14009, 454, 1993, 922, 14724, 1106, 568, 835, 267, 1287, 621, 568, 606, 8870, 269, 1403, 711, 267, 621, 568, 513, 6824, 630, 10472, 2165, 568, 1031, 1934, 547, 849, 454, 2767, 454, 514, 2850, 17447, 267, 607, 476, 274, 269, 2767, 815, 476, 274, 476, 1911, 454, 563, 2252, 519, 1297, 3112, 581, 6829, 607, 519, 5223, 540, 1079, 9981, 630, 328, 4318, 269, 607, 513, 6824, 1070, 621, 568, 19450, 563, 7078, 476, 277, 692, 14056, 692, 4178, 269, 1188, 1321, 3820, 692, 1012, 4147, 1518, 519, 1739, 1483, 2338, 780, 320, 264, 476, 271, 454, 321, 264, 476, 272, 454, 322, 994, 323, 994, 324, 2020, 273, 454, 274, 692, 3607, 454, 280, 692, 320, 264, 8827, 454, 313, 3266, 568, 606, 8870, 563, 321, 264, 8827, 454, 272, 568, 606, 8870, 563, 322, 264, 4014, 692, 1012, 568, 2854, 607, 513, 6824, 267, 519, 19362, 20465, 568, 19450, 780, 11405, 692, 529, 606, 19450, 1297, 780, 323, 2020, 273, 454, 274, 692, 1012, 3112, 581, 5187, 1221, 547, 4894, 519, 4009, 3597, 780, 11405, 692, 273, 454, 274, 692, 324, 2020, 529, 606, 19450, 1297, 780, 3607, 454, 280, 692, 3607, 454, 280, 692, 4754, 581, 5187, 1221, 547, 692, 3607, 454, 274, 692, 277, 454, 280, 692, 273, 454, 274, 692, 11405, 692, 529, 513, 7787, 1297, 780, 1012, 8641, 543, 11352, 7464, 10606, 692, 2171, 723, 2907, 14437, 827, 28321, 9981, 593, 519, 1297, 1899, 269, 898, 3947, 513, 3308, 6041, 540, 454, 6518, 1297, 568, 8273, 267, 4130, 267, 3092, 269, 898, 1131, 4061, 581, 5363, 547, 4729, 1875, 10784, 1122, 518, 7787, 2338, 454, 6600, 10330, 264, 593, 519, 1297, 1899, 849, 269, 1703, 616, 1079, 2081, 547, 3113, 7787, 2338, 593, 519, 1297, 1899, 563, 2791, 666, 6460, 873, 547, 513, 6404, 1297, 630, 23054, 532, 568, 835, 540, 519, 1906, 8320, 538, 7223, 950, 6404, 454, 11133, 1499, 616, 9053, 547, 16789, 8454, 1070, 610, 596, 666, 6460, 873, 547, 8918, 1106, 563, 7078, 476, 278, 454, 5522, 582, 519, 1739, 7787, 2338, 593, 519, 1297, 1899, 563, 320, 2020, 273, 454, 274, 692, 321, 264, 476, 4391, 454, 322, 994, 323, 2020, 1704, 454, 274, 454, 6872, 454, 1626, 692, 2252, 649, 7941, 519, 11996, 593, 519, 1297, 1899, 883, 519, 1297, 593, 519, 14009, 267, 649, 666, 1413, 693, 519, 454, 325, 10330, 19362, 547, 3313, 875, 1082, 540, 891, 1016, 17942, 10094, 649, 991, 547, 1331, 563, 320, 2020, 273, 454, 274, 692, 17517, 1063, 476, 271, 543, 476, 272, 269, 1284, 7941, 519, 8884, 883, 1614, 4559, 267, 543, 1331, 1079, 1016, 17942, 10094, 780, 4178, 269, 1188, 1321, 3820, 692, 14093, 692, 321, 264, 476, 4391, 8813, 1063, 476, 271, 543, 476, 272, 269, 1284, 7941, 519, 8884, 883, 5722, 4559, 267, 543, 1847, 2451, 689, 4642, 676, 1614, 454, 11357, 17942, 10094, 780, 273, 454, 322, 264, 476, 1704, 454, 276, 607, 513, 6404, 1297, 568, 476, 273, 476, 276, 543, 8813, 1063, 476, 274, 543, 476, 275, 269, 1284, 7941, 519, 8884, 883, 1654, 4559, 267, 543, 1847, 454, 1478, 1079, 1016, 17942, 10094, 780, 323, 2020, 6872, 454, 1626, 692, 280, 454, 553, 513, 6404, 1297, 568, 476, 274, 476, 1626, 454, 663, 8813, 1063, 476, 274, 543, 476, 275, 269, 1284, 991, 547, 1118, 28465, 1016, 1673, 643, 2888, 780, 7078, 476, 279, 454, 5522, 582, 519, 1739, 2338, 267, 538, 519, 2953, 1931, 267, 593, 513, 1297, 1899, 563, 320, 994, 321, 2020, 2420, 454, 278, 692, 322, 264, 476, 274, 269, 1691, 692, 323, 264, 476, 1015, 454, 2171, 786, 946, 513, 9498, 547, 26998, 8918, 20073, 687, 585, 1142, 540, 891, 267, 543, 946, 513, 1297, 1899, 5258, 883, 454, 1911, 271, 1016, 1673, 643, 2888, 269, 1879, 649, 723, 1079, 5393, 2673, 2338, 267, 649, 786, 2327, 602, 649, 1747, 873, 538, 519, 454, 322, 8091, 1931, 676, 3168, 693, 519, 7269, 547, 519, 476, 274, 6113, 8918, 1747, 543, 1603, 607, 513, 6824, 540, 476, 1911, 271, 563, 16318, 454, 320, 264, 815, 476, 274, 269, 15221, 6795, 1547, 1547, 1547, 476, 274, 476, 1911, 271, 692, 321, 2020, 2420, 454, 278, 692, 16960, 454, 284, 476, 274, 269, 16318, 6434, 1547, 1547, 1547, 476, 274, 476, 1911, 271, 692, 9610, 454, 322, 264, 476, 274, 269, 1691, 476, 274, 476, 1911, 271, 692, 14341, 454, 323, 264, 476, 1015, 815, 476, 274, 269, 14341, 2767, 1547, 1547, 1547, 476, 274, 476, 1911, 271, 692, 11405, 692, 8893, 12834, 454, 763, 4009, 3597, 540, 513, 1297, 568, 513, 1297, 799, 3947, 519, 3312, 1297, 950, 16611, 676, 3294, 780, 1012, 769, 15821, 2474, 267, 519, 4009, 3597, 540, 1535, 568, 513, 1297, 267, 536, 267, 971, 602, 536, 273, 815, 1535, 267, 610, 536, 815, 1535, 692, 2467, 616, 1079, 7399, 585, 513, 10230, 1871, 585, 536, 269, 589, 2318, 1871, 1572, 519, 9030, 4009, 454, 10174, 543, 513, 2942, 1871, 630, 1492, 6587, 540, 519, 2318, 1871, 1916, 288, 3501, 4009, 568, 513, 1297, 609, 606, 8870, 4009, 3597, 780, 15686, 692, 4178, 269, 1188, 1321, 3820, 692, 1012, 3371, 616, 930, 6310, 3601, 540, 4009, 5072, 780, 321, 284, 692, 629, 692, 288, 513, 645, 536, 815, 9474, 705, 692, 321, 284, 692, 288, 454, 288, 513, 289, 536, 23751, 289, 692, 320, 454, 321, 692, 320, 454, 321, 692, 306, 13645, 5072, 540, 6305, 2338, 616, 19450, 2338, 269, 1358, 3112, 581, 2854, 607, 7787, 2338, 454, 263, 1492, 5223, 540, 1079, 9981, 1040, 769, 8918, 1106, 267, 789, 723, 606, 796, 2056, 267, 9583, 4351, 267, 5569, 540, 454, 11133, 1499, 1310, 519, 8918, 1448, 563, 4467, 1584, 532, 513, 4009, 3597, 593, 513, 9498, 786, 3132, 606, 16977, 3070, 2094, 972, 616, 513, 454, 333, 924, 1297, 540, 9704, 1310, 519, 8918, 1448, 780, 18800, 5999, 454, 272, 269, 4855, 519, 1739, 4009, 5072, 4010, 1510, 1210, 513, 9498, 267, 4758, 707, 2626, 538, 519, 454, 13678, 680, 652, 1106, 780, 5416, 264, 476, 1839, 454, 6357, 264, 476, 2190, 454, 6262, 264, 476, 736, 454, 5560, 264, 476, 1220, 454, 16216, 264, 476, 1220, 271, 454, 272, 454, 6600, 994, 275, 454, 280, 454, 14116, 994, 275, 454, 22607, 264, 476, 271, 269, 1626, 454, 9217, 264, 476, 271 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 274, 9492, 348, 1422, 23976, 1422, 24264, 346, 271, 269, 274, 9492, 348, 1923, 345, 318, 276, 347, 815, 1923, 345, 318, 272, 347, 1422, 10383, 1923, 345, 318, 273, 347, 2073, 1422, 24264, 346, 271, 269, 274, 9492, 4153, 12978, 318, 276, 815, 1422, 12978, 318, 272, 1341, 1422, 12978, 318, 273, 1547, 14204, 1892, 634, 6498, 568, 849, 811, 19242, 538, 519, 12825, 10035, 269, 1109, 634, 1079, 3172, 6421, 616, 5258, 543, 519, 11775, 616, 10208, 539, 538, 519, 20800, 912, 259, 345, 318, 277, 815, 1422, 2765, 346, 345, 318, 272, 2410, 345, 318, 273, 348, 815, 1923, 345, 318, 277, 347, 1422, 10383, 11513, 3944, 552, 8703, 3189, 3944, 795, 348, 1422, 24264, 2715, 271, 269, 4962, 9492, 4153, 10383, 1422, 24264, 2715, 271, 269, 4962, 9492, 348, 1422, 12978, 318, 277, 348, 1422, 24264, 346, 271, 269, 274, 9492, 348, 1422, 23976, 1422, 24264, 346, 271, 269, 274, 9492, 348, 1923, 345, 318, 277, 347, 815, 1422, 2765, 346, 347, 345, 318, 272, 347, 2410, 347, 345, 318, 273, 347, 9574, 1422, 24264, 346, 271, 269, 274, 9492, 4153, 12978, 318, 277, 815, 1422, 12978, 318, 272, 910, 1422, 12978, 318, 273, 1547, 14204, 11764, 267, 3017, 267, 1587, 1299, 23479, 540, 1950, 2338, 692, 7445, 3667, 346, 6826, 7371, 1408, 476, 273, 281, 4151, 1109, 769, 519, 8642, 616, 3254, 607, 2798, 1369, 519, 1950, 7077, 1384, 272, 269, 519, 1950, 1297, 1109, 3230, 345, 284, 271, 269, 4037, 1341, 11513, 3944, 795, 348, 815, 476, 272, 269, 1839, 1422, 10383, 11513, 3944, 552, 23685, 24264, 346, 271, 269, 6734, 9492, 7346, 3944, 795, 4153, 24264, 346, 271, 269, 6734, 9492, 348, 1422, 10383, 1422, 24264, 346, 271, 269, 4962, 9492, 348, 7871, 269, 272, 17353, 15132, 348, 476, 6525, 2676, 273, 269, 922, 1950, 31669, 1109, 3230, 345, 17353, 770, 348, 815, 476, 271, 269, 4037, 910, 11513, 3944, 795, 348, 815, 476, 272, 269, 1839, 1422, 10383, 11513, 3944, 552, 8703, 910, 11513, 3944, 795, 348, 1422, 24264, 346, 271, 269, 6734, 9492, 4153, 10383, 1422, 24264, 346, 271, 269, 6734, 9492, 348, 7871, 269, 272, 17353, 15132, 348, 476, 6525, 2676, 274, 269, 519, 2040, 1109, 3230, 338, 284, 345, 266, 345, 17353, 770, 13157, 272, 269, 276, 2330, 1109, 630, 335, 675, 569, 1483, 13211, 275, 269, 519, 3017, 1109, 3230, 323, 284, 345, 22271, 17353, 770, 13157, 273, 1422, 10383, 11513, 3944, 795, 6525, 1109, 630, 335, 675, 569, 16494, 13211, 276, 269, 519, 1587, 1109, 3230, 335, 284, 345, 1422, 10383, 1990, 17353, 770, 348, 815, 476, 272, 269, 1839, 3867, 273, 348, 1422, 13627, 476, 272, 269, 6321, 273, 276, 2330, 1109, 630, 335, 675, 569, 1483, 13211, 277, 269, 519, 6498, 1109, 3230, 336, 284, 2715, 345, 348, 270, 346, 345, 17353, 770, 348, 7684, 284, 3189, 3944, 552, 23685, 24264, 346, 271, 269, 4962, 9492, 348, 11513, 3944, 795, 348, 1422, 24264, 346, 271, 269, 6734, 9492, 4153, 10383, 1422, 24264, 346, 271, 269, 6734, 9492, 348, 11793, 269, 273, 17353, 15132, 348, 476, 6525, 1109, 5976, 9588, 5231, 1269, 272, 259, 1109, 543, 519, 5595, 5123, 5086, 540, 1109, 1269, 345, 16859, 763, 1739, 630, 23389, 1893, 264, 1565, 3381, 26564, 519, 1888, 540, 713, 3184, 538, 513, 11741, 1259, 912, 3725, 1013, 523, 5378, 737, 558, 14658, 523, 2098, 1695, 6352, 5231, 2340, 18568, 5231, 834, 6635, 10379, 4238, 5473, 1950, 2338, 2668, 0, 266, 271, 692, 258, 948, 692, 271, 454, 4366, 454, 272, 692, 763, 2040, 540, 513, 476, 273, 18251, 1297, 543, 519, 476, 273, 18251, 1297, 950, 519, 9704, 616, 20328, 568, 476, 6507, 269, 1403, 519, 3017, 540, 519, 1482, 1079, 2338, 568, 476, 3393, 267, 1018, 616, 519, 1079, 476, 273, 18251, 2338, 2496, 14257, 476, 276, 267, 476, 1708, 271, 692, 258, 272, 454, 266, 20385, 6858, 454, 271, 692, 4131, 1109, 512, 1109, 581, 519, 4557, 781, 7857, 540, 519, 3312, 1297, 543, 1109, 579, 1109, 581, 519, 1770, 781, 7857, 540, 519, 3312, 1297, 780, 1607, 1797, 602, 519, 3312, 1297, 568, 1109, 476, 1015, 6440, 339, 1341, 579, 780, 3725, 951, 532, 519, 9704, 267, 519, 1007, 1297, 568, 1109, 476, 1015, 6440, 340, 1341, 512, 692, 29002, 891, 2338, 1927, 267, 649, 1205, 513, 2040, 540, 476, 6507, 281, 1109, 630, 1015, 339, 1341, 579, 264, 1341, 630, 1015, 340, 1341, 512, 264, 1109, 815, 1109, 476, 6507, 692, 8245, 680, 4328, 281, 1109, 29894, 29894, 29894, 29894, 29894, 5231, 476, 1556, 339, 1341, 476, 1556, 340, 1109, 815, 1109, 476, 6507, 692, 291, 1204, 328, 532, 1142, 2165, 676, 476, 1556, 281, 1109, 29894, 29894, 29894, 29894, 476, 1741, 512, 1341, 579, 1109, 815, 1109, 476, 278, 692, 8138, 339, 24219, 891, 2338, 267, 649, 1205, 513, 3017, 540, 476, 3393, 281, 1109, 630, 1015, 339, 1341, 579, 264, 910, 630, 1015, 340, 1341, 512, 264, 1109, 815, 1109, 476, 3393, 692, 8245, 680, 4328, 281, 1109, 29894, 29894, 29894, 29894, 29894, 7545, 30336, 1109, 280, 339, 910, 476, 280, 340, 1109, 815, 1109, 476, 3393, 692, 291, 1204, 532, 1142, 2165, 676, 476, 280, 281, 1109, 29894, 29894, 29894, 29894, 7545, 30336, 1109, 339, 910, 579, 1109, 815, 1109, 476, 276, 692, 23382, 1456, 891, 1079, 4834, 281, 1109, 14632, 5231, 512, 1341, 579, 1109, 815, 1109, 476, 278, 692, 339, 910, 579, 1109, 815, 1109, 476, 276, 692, 29002, 1524, 519, 9587, 281, 1109, 29894, 7545, 476, 1741, 476, 273, 339, 1109, 815, 1109, 476, 1321, 692, 19667, 728, 676, 476, 273, 281, 1109, 29894, 29894, 29894, 512, 1109, 815, 1109, 476, 277, 692, 27802, 23082, 1394, 883, 519, 3830, 1109, 512, 1109, 266, 579, 1109, 815, 1109, 476, 278, 1109, 476, 1109, 734, 15010, 1109, 476, 1109, 277, 1341, 579, 1109, 815, 1109, 476, 278, 1109, 476, 1109, 734, 15010, 1109, 476, 1109, 340, 1109, 815, 1109, 476, 272, 692, 2791, 3513, 991, 547, 2328, 519, 1079, 2338, 27250, 14257, 476, 277, 267, 476, 1708, 271, 0, 21316, 295, 476, 5611, 274, 12096, 476, 1001, 275, 692, 258, 26643, 692, 1012, 3848, 476, 273, 1384, 2971, 11728, 5412, 476, 272, 630, 16435, 1938, 2020, 2171, 8737, 938, 4901, 540, 1950, 2338, 269, 14572, 4834, 267, 17693, 334, 6248, 1106, 267, 543, 1546, 7720, 643, 516, 781, 14497, 780, 2971, 11016, 5437, 476, 2764, 630, 16435, 1938, 2020, 763, 9238, 540, 1950, 2338, 282, 875, 547, 2328, 1950, 2338, 267, 543, 875, 547, 1039, 267, 10208, 267, 9062, 267, 543, 7941, 873, 269, 18140, 1154, 1950, 2338, 538, 519, 1950, 7077, 269, 1230, 24503, 622, 543, 29870, 780, 2971, 13723, 5437, 476, 2918, 630, 16435, 1938, 2020, 19226, 1639, 909, 609, 27744, 543, 14802, 27523, 267, 543, 6410, 593, 547, 1950, 2338, 630, 514, 1312, 6153, 18311, 543, 7313, 1961, 267, 972, 568, 606, 30569, 593, 1950, 2338, 6393, 2971, 11728, 5437, 476, 2190, 630, 16435, 1938, 2020, 31086, 274, 269, 275, 269, 2859, 1806, 540, 27744, 543, 14802, 27523, 585, 3230, 274, 24585, 274, 2330, 14290, 780, 2971, 11016, 5437, 476, 2641, 630, 16435, 1938, 2020, 31086, 274, 269, 275, 267, 7384, 27744, 543, 14802, 27523, 269, 901, 568, 513, 26815, 17890, 1900, 8386, 9912, 1184, 602, 12346, 593, 1312, 938, 2702, 547, 12337, 21876, 543, 547, 4194, 24267, 1949, 998, 4737, 3146, 9134, 780, 2971, 13723, 5437, 476, 866, 630, 16435, 1938, 2020, 31086, 274, 269, 275, 269, 661, 3394, 11161, 543, 14802, 27523, 269, 1284, 4718, 14802, 27523, 607, 10321, 602, 1205, 9927, 630, 2421, 513, 5119, 264, 547, 22185, 2789, 540, 2933, 267, 543, 1256, 952, 713, 3085, 1405, 3100, 4277, 267, 621, 814, 513, 2898, 3984, 540, 3156, 630, 3697, 3406, 9817, 543, 3239, 4393, 6393, 2971, 11728, 5437, 476, 1704, 630, 16435, 1938, 2020, 31086, 274, 269, 272, 269, 17270, 21876, 540, 3677, 4009, 14290, 780, 2971, 11016, 5437, 476, 1691, 630, 16435, 1938, 2020, 31086, 274, 269, 273, 630, 13433, 267, 649, 4312, 1236, 5792, 19926, 274, 269, 272, 585, 1631, 281, 649, 3513, 798, 621, 11728, 1040, 16544, 540, 21876, 267, 543, 6266, 540, 3230, 273, 24585, 476, 273, 2330, 1806, 269, 901, 3381, 543, 713, 835, 1522, 581, 5363, 780, 2971, 11016, 5437, 476, 278, 630, 16435, 1938, 2020, 20797, 7384, 538, 951, 525, 1210, 4737, 5786, 267, 19926, 273, 269, 280, 269, 630, 2252, 596, 2811, 5461, 267, 596, 1223, 1305, 909, 513, 3230, 273, 24585, 476, 273, 2330, 5119, 630, 5976, 13366, 3230, 320, 14720, 22698, 28504, 2330, 264, 543, 1294, 602, 519, 4737, 3146, 9134, 4480, 3947, 519, 2953, 11201, 4700, 8307, 4009, 14290, 666, 723, 606, 11201, 267, 543, 711, 782, 4009, 14290, 798, 780, 2971, 13723, 5437, 476, 276, 630, 16435, 1938, 2020, 4467, 1584, 532, 538, 951, 525, 540, 14290, 1210, 4737, 3146, 9134, 2553, 269, 19926, 273, 269, 280, 780, 2971, 11728, 5437, 476, 274, 630, 16435, 1938, 2020, 7617, 1062, 1131, 596, 2864, 4194, 281, 1422, 8218, 9387, 15857, 1535, 318, 272, 1341, 476, 273, 343, 318, 273, 1341, 476, 274, 343, 318, 274, 17851, 476, 276, 11138, 1535, 318, 272, 1341, 1535, 318, 273, 1341, 1535, 318, 274, 17851, 476, 273, 8607, 476, 273, 343, 318, 272, 1341, 476, 273, 343, 318, 273, 1341, 476, 274, 343, 318, 274, 17851, 476, 277, 1422, 754, 9387, 15857, 610, 1422, 8218, 9387, 15857, 1535, 318, 272, 1341, 476, 273, 343, 318, 273, 1341, 476, 274, 343, 318, 274, 17851, 476, 276, 11138, 910, 1535, 318, 273, 910, 476, 273, 343, 318, 274, 17851, 910, 274, 8607, 1535, 318, 274, 17851, 476, 273, 1422, 754, 9387, 15857, 610, 1422, 8218, 9387, 15857, 586, 318, 272, 17851, 476, 276, 11138, 586, 318, 272, 1341, 586, 318, 273, 17851, 476, 273, 8607, 476, 273, 344, 318, 272, 1341, 476, 273, 344, 318, 273, 1341, 586, 318, 274, 17851, 476, 277, 1422, 754, 9387, 265, 10926, 2971, 11016, 5239, 476, 4029, 630, 16435, 1938, 2020, 31086, 273, 269, 277, 267, 13067, 15119, 7010, 267, 538, 1880, 267, 649, 1445, 593, 519, 1570, 693, 519, 1439, 540, 519, 3296, 7282, 5276, 7115, 780, 2971, 13723, 5239, 476, 3066, 630, 16435, 1938, 2020, 2171, 8737, 6061, 1422, 8218, 9387, 15857, 1535, 910, 586, 910, 1990, 1341, 273, 342, 17851, 272, 8607, 476, 273, 343, 910, 476, 273, 344, 910, 1990, 1341, 476, 274, 342, 17851, 476, 274, 8607, 910, 343, 1341, 586, 910, 1990, 1299, 15871, 274, 1422, 754, 9387, 15857, 543, 1705, 606, 1383, 7282, 5276, 10659, 269, 901, 6061, 513, 1062, 3381, 1522, 581, 5363, 780, 2971, 11728, 5239, 476, 2767, 630, 16435, 1938, 264, 543, 630, 6665, 783, 338, 2020, 2171, 1031, 4737, 5786, 547, 4194, 1614, 1949, 630, 933, 3513, 9096, 1776, 593, 13723, 1040, 1284, 849, 28367, 519, 14742, 543, 4767, 519, 28963, 281, 723, 513, 1413, 1422, 8218, 9387, 15857, 1535, 1341, 476, 273, 344, 910, 1990, 17851, 476, 274, 8607, 476, 273, 343, 1341, 476, 274, 344, 1341, 1990, 17851, 476, 272, 1422, 754, 9387, 15857, 543, 1422, 8218, 9387, 15857, 1535, 910, 586, 1341, 1990, 17851, 476, 273, 8607, 476, 273, 343, 1341, 586, 910, 277, 345, 17851, 476, 278, 11138, 476, 277, 343, 268, 1015, 345, 17851, 276, 1422, 754, 9387, 265, 10926, 2971, 11016, 5239, 476, 2190, 630, 16435, 1938, 2020, 292, 11915, 4737, 4238, 267, 9187, 1824, 267, 543, 4737, 3235, 3559, 517, 1106, 269, 11153, 1806, 269, 901, 18007, 5786, 3381, 1522, 948, 780, 2971, 13723, 5239, 476, 2420, 630, 16435, 1938, 2020, 31086, 273, 269, 275, 269, 14572, 1949, 540, 4834, 269, 5675, 513, 1062, 540, 4834, 607, 606, 21284, 5119, 543, 13030, 17930, 269, 28294, 6819, 1949, 630, 663, 21284, 14290, 264, 538, 971, 513, 1259, 602, 519, 3070, 3788, 519, 1482, 780, 2971, 11728, 5239, 476, 736, 630, 16435, 1938, 2020, 31086, 273, 269, 274, 269, 17270, 538, 951, 525, 540, 3230, 273, 24585, 476, 273, 2330, 14290, 269, 589, 476, 273, 343, 273, 5119, 568, 538, 3200, 1043, 952, 543, 1152, 952, 922, 24572, 630, 2330, 611, 1532, 322, 2330, 264, 568, 711, 4642, 780, 2971, 11016, 5239, 476, 1704, 630, 16435, 1938, 2020, 310, 550, 936, 2243, 476, 273, 540, 1449, 476, 272, 269, 2052, 596, 1265, 513, 6152, 579, 865, 602, 19923, 815, 1496, 273, 267, 476, 272, 316, 286, 901, 568, 6697, 547, 6061, 513, 1062, 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 ]
[ 922, 6228, 982, 513, 8536, 10238, 1431, 2390, 1957, 269, 634, 27428, 2219, 519, 2034, 17203, 29103, 1229, 513, 8471, 1082, 4550, 268, 5313, 1235, 14126, 602, 519, 1007, 2229, 1131, 581, 1932, 563, 268, 13201, 519, 2034, 17203, 1044, 27390, 676, 11122, 2510, 8385, 7902, 593, 844, 7702, 910, 519, 1702, 4687, 3060, 1141, 8903, 563, 268, 634, 3312, 8247, 543, 3483, 540, 519, 2034, 17203, 729, 547, 519, 5313, 626, 4574, 4797, 1107, 519, 3312, 1318, 540, 1582, 12413, 1619, 563, 763, 1893, 543, 8247, 540, 519, 3265, 619, 540, 519, 2034, 17203, 941, 28642, 14834, 2581, 267, 945, 7074, 538, 519, 5313, 626, 4574, 602, 22988, 269, 1703, 781, 513, 2603, 2469, 1472, 827, 519, 2034, 17203, 930, 593, 519, 2451, 723, 1044, 28642, 14834, 2581, 267, 5313, 626, 1100, 476, 5379, 267, 23891, 4231, 476, 3066, 267, 476, 9965, 279, 269, 2060, 2543, 547, 519, 2034, 17203, 1775, 666, 1152, 1294, 602, 543, 519, 5313, 626, 4574, 1118, 1360, 2312, 602, 519, 17740, 807, 729, 782, 2111, 1532, 617, 1221, 269, 634, 5898, 540, 519, 2034, 17203, 568, 602, 621, 786, 711, 581, 2877, 8259, 789, 2119, 547, 1491, 621, 4534, 28114, 4534, 329, 1868, 14834, 2581, 267, 519, 5313, 626, 4574, 267, 1100, 476, 5379, 269, 0, 27778, 583, 639, 568, 15626, 16490, 543, 2731, 11099, 646, 568, 11318, 32614, 267, 7247, 646, 14560, 3592, 607, 513, 4651, 267, 547, 4688, 519, 14081, 1010, 4583, 22660, 1185, 849, 5280, 1244, 846, 513, 1119, 7949, 586, 517, 22101, 3780, 814, 513, 10709, 543, 17237, 1413, 281, 646, 12909, 519, 2911, 540, 15626, 28112, 2335, 8336, 267, 855, 646, 781, 1379, 3620, 2426, 787, 543, 16529, 267, 543, 538, 269, 18706, 3780, 910, 513, 16805, 2489, 543, 1279, 5503, 29872, 766, 540, 1309, 525, 2117, 817, 3780, 20247, 10105, 519, 1249, 602, 32614, 814, 1831, 5601, 3697, 538, 519, 4064, 540, 519, 6535, 753, 646, 521, 569, 569, 5012, 14697, 639, 547, 3494, 602, 32614, 814, 1831, 1932, 3532, 543, 1590, 5884, 267, 6368, 14291, 14697, 639, 547, 1010, 2014, 676, 11488, 1864, 585, 3022, 5022, 19101, 602, 519, 19005, 1004, 1489, 519, 2669, 540, 32614, 269, 1635, 6616, 713, 267, 602, 2306, 14697, 639, 513, 1732, 543, 6793, 6205, 267, 2094, 646, 568, 2111, 547, 16153, 547, 1010, 8467, 22101, 3780, 568, 513, 1360, 3765, 27815, 1268, 1010, 4128, 547, 18272, 3729, 32614, 616, 2484, 1447, 15626, 982, 873, 540, 14697, 639, 563, 19878, 3780, 32614, 910, 513, 6476, 540, 14697, 639, 543, 22101, 3780, 538, 519, 1404, 15567, 3780, 32614, 267, 2854, 543, 840, 11526, 676, 13275, 12335, 267, 972, 616, 1082, 3197, 267, 855, 1079, 267, 14697, 639, 543, 22101, 3780, 267, 11542, 856, 519, 1404, 5956, 538, 17858, 1141, 513, 11812, 540, 15567, 3780, 32614, 781, 11802, 936, 519, 5449, 14610, 540, 17858, 267, 533, 558, 701, 4512, 269, 5696, 583, 639, 814, 547, 14773, 547, 519, 1866, 543, 22101, 3780, 602, 952, 789, 12638, 22415, 639, 1884, 517, 3780, 2059, 609, 15567, 3780, 32614, 267, 17333, 1152, 786, 621, 2014, 2527, 27421, 10838, 519, 19005, 4961, 267, 855, 621, 786, 849, 2014, 10373, 32398, 602, 2047, 2798, 2509, 547, 519, 931, 2869, 2209, 1373, 519, 1826, 540, 15294, 18996, 1510, 25964, 8878, 269, 5696, 583, 639, 543, 22101, 3780, 538, 546, 14397, 779, 1102, 1716, 334, 1102, 1716, 334, 10741, 593, 519, 10543, 540, 1434, 535, 27518, 630, 15290, 795, 4615, 729, 7166, 264, 538, 519, 1032, 476, 9873, 271, 10707, 998, 513, 4158, 3574, 267, 546, 14397, 620, 662, 1512, 328, 814, 4503, 1010, 2619, 543, 1631, 18389, 619, 4250, 2685, 998, 519, 4104, 563, 290, 817, 3780, 568, 519, 8258, 548, 14575, 540, 519, 931, 2869, 2209, 646, 781, 20833, 5260, 11803, 543, 6354, 11494, 267, 543, 646, 11613, 759, 757, 519, 1259, 519, 19005, 1004, 1521, 15567, 3780, 32614, 899, 513, 4224, 5182, 646, 781, 20833, 5260, 11803, 543, 6354, 11494, 267, 543, 646, 11613, 759, 757, 519, 1259, 519, 19005, 1004, 1521, 15567, 3780, 32614, 899, 513, 4224, 5182, 269, 769, 12335, 781, 519, 13357, 540, 15567, 3780, 32614, 267, 14697, 639, 543, 22101, 3780, 616, 17804, 3197, 789, 8428, 538, 519, 1259, 789, 13498, 1884, 3415, 607, 513, 3463, 547, 519, 26923, 4729, 267, 741, 17282, 538, 7209, 267, 543, 741, 5837, 6775, 538, 15567, 3780, 32614, 267, 14697, 639, 568, 519, 811, 562, 1511, 267, 8789, 543, 15626, 269, 910, 22101, 3780, 543, 14697, 639, 538, 13275, 12335, 781, 15567, 3780, 32614, 15567, 3780, 32614, 568, 1305, 538, 476, 4510, 27652, 941, 17858, 729, 513, 14081, 19005, 3310, 1185, 3262, 3564, 621, 3315, 543, 998, 519, 1199, 10882, 543, 930, 540, 5087, 21562, 543, 849, 2694, 540, 27437, 267, 1517, 17753, 543, 31564, 17858, 729, 18170, 676, 513, 6845, 622, 269, 12634, 1806, 540, 22101, 3780, 1402, 267, 1402, 267, 1402, 267, 620, 328, 1765, 6533, 22101, 3780, 10036, 1765, 31162, 1037, 539, 519, 29421, 532, 23215, 20680, 1014, 609, 1990, 15781, 16463, 689, 2648, 540, 524, 19508, 338, 541, 547, 13842, 585, 14697, 639, 543, 22101, 3780, 568, 855, 513, 1900, 2370, 15322, 547, 519, 5321, 540, 519, 1390, 267, 4320, 476, 278, 1714, 6975, 13398, 321, 731, 269, 6684, 519, 29170, 7758, 6429, 1063, 14697, 639, 543, 22101, 3780, 630, 6246, 264, 568, 513, 4999, 540, 1079, 11401, 540, 519, 1071, 15926, 2869, 6002, 519, 3803, 6370, 267, 609, 922, 2282, 8686, 1112, 800, 585, 14697, 639, 267, 543, 519, 3126, 540, 21390, 602, 3142, 827, 519, 7972, 540, 1312, 22101, 3780, 543, 14697, 639, 267, 568, 513, 27772, 4528, 540, 513, 3126, 540, 12959, 602, 3576, 1079, 2395, 563, 19284, 22101, 3780, 267, 14697, 639, 568, 2141, 3257, 1018, 646, 7959, 568, 1655, 585, 519, 6535, 753, 538, 1840, 267, 22101, 3780, 7959, 17071, 547, 14697, 639, 14697, 639, 814, 1454, 1379, 689, 519, 1004, 543, 568, 2828, 609, 519, 4166, 3562, 15515, 4622, 267, 799, 568, 1946, 22101, 3780, 568, 865, 26525, 547, 723, 14697, 639, 593, 1010, 2427, 269, 594, 1589, 621, 568, 4277, 547, 1413, 693, 519, 3604, 1063, 14697, 639, 543, 22101, 3780, 689, 32614, 781, 5133, 2687, 547, 32614, 267, 22101, 3780, 814, 513, 10709, 267, 17237, 1413, 281, 22101, 3780, 936, 972, 814, 513, 10709, 543, 269, 5696, 583, 639, 543, 22101, 3780, 1287, 6430, 2436, 547, 7227, 585, 1884, 3415, 543, 12354, 822, 3780, 538, 521, 731, 529, 610, 15292, 547, 2743, 519, 15852, 7952, 538, 15599, 2089, 328, 22101, 3780, 27422, 547, 7227, 543, 1832, 1010, 2367, 4195, 267, 855, 14697, 639, 14659, 602, 519, 10546, 568, 11543, 538, 1379, 1169, 1554, 543, 4061, 1590, 581, 11074, 607, 4166, 607, 2009, 563, 27778, 583, 639, 779, 13393, 3352, 330, 539, 575, 2967, 639, 22101, 3780, 1279, 19434, 267, 945, 1185, 4941, 519, 2816, 543, 2808, 5128, 1732, 11727, 630, 24708, 4063, 540, 713, 18560, 32503, 3580, 581, 7487, 513, 2603, 540, 1864, 264, 476, 276, 269, 4460, 16320, 3415, 543, 12354, 822, 1014, 5288, 22415, 639, 14697, 639, 543, 575, 2967, 639, 22101, 3780, 262, 519, 6370, 540, 15599, 2089, 328, 729, 519, 3803, 6370, 538, 519, 10617, 540, 519, 2034, 15112, 341, 597, 622, 1063, 519, 4229, 540, 1665, 1884, 3415, 543, 12354, 822, 1014, 630, 1993, 269, 1261, 729, 18272, 3990, 676, 14697, 639, 267, 22101, 3780, 543, 513, 6512, 540, 931, 2869, 2209, 945, 5433, 32614, 729, 1360, 16529, 543, 4941, 519, 13862, 1608, 335, 1248, 807, 729, 519, 7385, 540, 15567, 3780, 32614, 1352, 729, 1360, 22530, 25875, 543, 5156, 538, 9631, 839, 543, 2823, 757, 1352, 29808, 32614, 1996, 2469, 547, 269, 18706, 3780, 12034, 14697, 639, 607, 519, 18463, 602, 786, 26595, 519, 3056, 8821, 956, 538, 513, 24242, 267, 543, 646, 2306, 519, 19684, 540, 14697, 639, 1010, 1101, 10862, 4401, 1227, 267, 1010, 1967, 5012, 2047, 547, 513, 6024, 7771, 540, 1010, 1378, 3310, 1369, 519, 14081, 534, 3786, 269, 2991, 22101, 3780, 12651, 519, 1641, 543, 12134, 585, 14697, 639, 262, 7029, 267, 646, 13668, 942, 547, 1589, 519, 2339, 936, 267, 543, 513, 3923, 2663, 267, 6340, 4805, 538, 1010, 15250, 731, 267, 646, 8761, 602, 646, 814, 2094, 2219, 540, 2370, 3116, 563, 294, 2967, 639, 22101, 3780, 1279, 19434, 630, 5035, 673, 32204, 281, 1496, 16659, 8615, 27474, 328, 390, 488, 338, 476, 16659, 330, 817, 328, 390, 488, 338, 476, 16659, 331, 389, 498, 385, 489, 326, 22688, 333, 390, 488, 338, 316, 12354, 3426, 476, 274, 267, 1354, 476, 5952, 27652, 1107, 12354, 3426, 476, 274, 267, 476, 5655, 27652, 264, 729, 513, 19005, 6845, 1807, 267, 513, 3056, 1128, 580, 1807, 540, 519, 4729, 547, 6146, 15567, 3780, 32614, 267, 543, 519, 7015, 538, 25237, 540, 22415, 639, 15118, 3780, 14697, 639, 269, 18706, 3780, 543, 22415, 639, 14697, 639, 616, 851, 540, 519, 24242, 547, 6146, 2781, 553, 541, 585, 519, 1434, 540, 17858, 14697, 639, 1031, 547, 581, 32614, 781, 1655, 3659, 855, 20729, 539, 1864, 676, 4543, 547, 6146, 1864, 22101, 3780, 729, 849, 851, 540, 519, 11318, 540, 22101, 3780, 269, 5696, 583, 639, 729, 519, 5067, 540, 22415, 639, 15118, 3780, 14697, 639, 630, 15367, 729, 30217, 3585, 7166, 676, 533, 558, 701, 344, 519, 1390, 538, 476, 6507, 264, 543, 1425, 23158, 630, 15367, 2663, 2968, 32614, 779, 24158, 264, 1310, 1010, 10073, 676, 606, 11515, 267, 30883, 639, 1425, 559, 3780, 1309, 788, 1470, 267, 646, 729, 4122, 1572, 30883, 639, 1309, 788, 1470, 14697, 639, 269, 5696, 583, 639, 543, 22101, 3780, 538, 12335, 779, 1404, 267, 968, 1492, 13357, 540, 15567, 3780, 32614, 5608, 1079, 1271, 6422, 3197, 267, 22101, 3780, 543, 14697, 639, 267, 1404, 519, 1909, 547, 3142, 519, 13357, 883, 15567, 3780, 685, 1272, 22101, 3780, 568, 7000, 547, 723, 5636, 664, 748, 543, 7106, 549, 1324, 2609, 2509, 32614, 799, 568, 1713, 538, 713, 13357, 585, 922, 9295, 547, 519, 6249, 563, 294, 2967, 639, 22101, 3780, 1279, 19434, 630, 29592, 476, 5952, 27652, 1107, 12354, 3426, 476, 5655, 27652, 264, 729, 513, 19005, 6845, 1807, 267, 513, 6205, 540, 519, 4729, 547, 6146, 15567, 3780, 32614, 267, 543, 519, 7015, 538, 25237, 540, 14697, 639, 269, 5696, 583, 639, 543, 22101, 3780, 616, 1079, 1360, 1114, 3197, 14697, 639, 568, 513, 811, 8789, 543, 15626, 1915, 646, 568, 9237, 267, 14255, 633, 267, 543, 25442, 1287, 972, 568, 22101, 3780, 945, 568, 513, 829, 21082, 1268, 543, 1360, 6354, 11494, 646, 568, 31604, 267, 679, 2365, 267, 543, 513, 4108, 2054, 626, 1312, 540, 873, 13498, 1884, 3415, 538, 513, 1114, 1259, 267, 713, 568, 1141, 741, 14789, 32692, 269, 11374, 519, 26923, 540, 15567, 3780, 32614, 267, 1079, 540, 519, 6240, 931, 2869, 2209, 267, 22415, 639, 15118, 3780, 14697, 639, 543, 575, 2967, 639, 22101, 3780, 1279, 19434, 19679, 17858, 543, 3576, 1852, 540, 519, 9456, 1008, 4532, 652, 1877, 789, 6659, 513, 1804, 7952, 9967, 540, 519, 9456, 1850, 687, 543, 26550, 625, 689, 2199, 25267, 24027, 547, 17858, 269, 5696, 583, 639, 1185, 1634, 602, 646, 1131, 723, 547, 960, 936, 5503, 2221, 585, 1659, 327, 850, 1631, 267, 855, 1018, 646, 1185, 711, 4397, 729, 585, 22101, 3780, 547, 1193, 728, 883, 1010, 5604, 3368, 606, 5662, 1354, 14656, 942, 267, 8185, 1166, 641, 1524, 593, 519, 796, 31039, 2220, 633, 331, 11381, 538, 4395, 540, 14697, 639, 779, 2780, 267, 543, 2253, 547, 678, 656, 827, 15567, 3780, 32614, 543, 1010, 949, 7394, 12485, 269, 0, 13828, 3184, 476, 276, 543, 476, 277, 4682, 2417, 538, 3178, 538, 10503, 938, 4276, 543, 1020, 547, 519, 4950, 269, 4934, 540, 519, 1079, 3184, 594, 1336, 3184, 476, 277, 547, 581, 519, 1034, 4277, 1317, 540, 519, 8561, 593, 519, 4276, 519, 4950, 2488, 585, 721, 269, 1717, 267, 649, 1590, 581, 18762, 607, 649, 1020, 324, 269, 594, 1589, 835, 540, 519, 1034, 1271, 2460, 547, 2015, 568, 519, 7872, 585, 18483, 269, 1284, 616, 865, 4448, 609, 519, 4950, 602, 621, 814, 1831, 513, 851, 540, 938, 4948, 2729, 269, 3776, 12948, 267, 2123, 1344, 267, 543, 17066, 616, 782, 6740, 1369, 938, 11436, 543, 5904, 269, 589, 22681, 4323, 538, 519, 2104, 1223, 4125, 9505, 1154, 1055, 938, 21870, 865, 602, 649, 6336, 782, 1569, 540, 3346, 269, 1744, 583, 1154, 540, 519, 21870, 1223, 849, 1860 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1292, 5560, 1311, 800, 267, 3758, 12173, 2567, 5897, 825, 1104, 15259, 1477, 825, 1104, 26417, 5897, 825, 26417, 12949, 815, 15259, 29624, 12459, 7765, 2891, 321, 644, 1326, 12774, 27406, 257, 10142, 825, 3923, 14729, 792, 8217, 815, 1496, 15947, 825, 8907, 8217, 815, 1496, 15947, 825, 2698, 23631, 15467, 815, 476, 271, 1477, 825, 2698, 318, 4219, 815, 476, 271, 1477, 825, 1689, 26174, 815, 18358, 3299, 476, 271, 15947, 825, 1689, 28804, 815, 18358, 3299, 476, 271, 316, 5897, 825, 609, 1930, 6262, 12364, 12949, 267, 1007, 1467, 284, 5257, 264, 607, 26417, 12803, 6769, 1038, 26417, 1348, 518, 815, 26417, 18667, 518, 6262, 12364, 12803, 267, 1642, 574, 3438, 284, 12887, 3418, 1038, 952, 26417, 2529, 333, 858, 518, 14061, 13757, 318, 3650, 518, 6769, 2018, 1985, 6262, 12364, 1348, 518, 3418, 1038, 585, 4737, 538, 26417, 1348, 518, 6769, 2018, 3923, 14729, 792, 815, 4737, 314, 271, 15947, 2018, 8907, 815, 10581, 21405, 314, 272, 29573, 2018, 3923, 14729, 792, 8217, 6910, 263, 24629, 14729, 792, 3418, 2018, 8907, 8217, 6910, 263, 516, 15467, 3418, 2018, 2698, 23631, 15467, 815, 266, 8907, 1477, 24541, 825, 2698, 318, 24629, 815, 7003, 263, 24629, 14729, 792, 8217, 3418, 825, 585, 1775, 538, 2039, 263, 272, 267, 7003, 263, 24629, 14729, 792, 8217, 264, 8029, 1038, 1689, 815, 8907, 8217, 5157, 316, 910, 8907, 8217, 5157, 268, 272, 15947, 1038, 2698, 318, 4219, 815, 266, 1689, 1477, 1038, 952, 1689, 3436, 1689, 28804, 314, 272, 316, 6769, 2018, 1689, 26174, 815, 1496, 24629, 14729, 792, 8217, 5157, 3910, 1689, 15947, 1038, 952, 1689, 2999, 1689, 28804, 314, 272, 316, 6769, 2018, 1689, 28804, 815, 1496, 24629, 14729, 792, 8217, 5157, 3910, 1689, 15947, 825, 1689, 19963, 2071, 815, 2698, 318, 4219, 1315, 2698, 318, 24629, 5897, 825, 1899, 272, 815, 1412, 26296, 5811, 262, 1477, 825, 1899, 273, 815, 1412, 2411, 734, 262, 1477, 825, 1899, 274, 815, 1412, 13707, 3933, 2195, 281, 1412, 1341, 1193, 6025, 4973, 318, 24629, 3418, 825, 1899, 275, 815, 1412, 13707, 28521, 281, 1269, 262, 1341, 1193, 6025, 4973, 23631, 15467, 3418, 825, 1899, 276, 815, 1412, 30182, 28521, 7827, 281, 1269, 262, 1341, 1193, 263, 1037, 263, 4219, 19963, 2071, 17903, 825, 1899, 277, 815, 1412, 15124, 652, 28521, 21561, 281, 1412, 1341, 1689, 26174, 314, 271, 316, 1341, 1412, 18121, 262, 1341, 1193, 263, 1037, 263, 4219, 26174, 314, 272, 316, 4297, 1341, 1412, 264, 262, 1477, 825, 1899, 278, 815, 1412, 15124, 652, 28521, 28206, 848, 281, 1412, 1341, 1689, 28804, 314, 271, 316, 1341, 1412, 18121, 262, 1341, 1193, 263, 1037, 263, 4219, 28804, 314, 272, 316, 4297, 1341, 1412, 264, 262, 315, 5897, 825, 5758, 815, 1496, 15947, 825, 5758, 269, 2169, 754, 8443, 1467, 272, 267, 1899, 273, 267, 1899, 274, 267, 1899, 275, 267, 1899, 276, 267, 1899, 277, 267, 1899, 278, 316, 10142, 825, 1820, 3488, 20298, 825, 1820, 31526, 12173, 3418, 825, 585, 1899, 538, 5758, 6769, 1038, 1820, 263, 1467, 3418, 825, 1820, 630, 5257, 3418, 5897, 29715, 800, 815, 1412, 3863, 12774, 262, 1477, 12803, 12173, 815, 1412, 321, 644, 1326, 12774, 27406, 262, 1477, 10852, 5560, 1311, 800, 267, 3758, 12173, 10142, 567, 1948, 585, 4737, 538, 26417, 1348, 518, 6769, 11434, 1948, 1293, 15058, 318, 3000, 2195, 815, 7003, 17338, 6262, 12364, 1348, 518, 17903, 11434, 1948, 1820, 2891, 13707, 3933, 2195, 281, 834, 1341, 1193, 6262, 870, 15058, 318, 3000, 2195, 17903, 24653, 258, 10059, 2517, 4206, 686, 2644, 2593, 270, 7090, 270, 1348, 2987, 2275, 12364, 1922, 3796, 11258, 0, 5814, 942, 454, 5814, 30220, 692, 3698, 1065, 12248, 6658, 3799, 2187, 825, 1247, 562, 3436, 476, 271, 912, 1038, 1820, 30220, 6155, 520, 8135, 269, 5228, 339, 574, 652, 2086, 3799, 1040, 1598, 1111, 830, 3488, 260, 300, 281, 260, 306, 5073, 1038, 942, 4732, 2748, 263, 272, 994, 1038, 562, 815, 562, 910, 476, 272, 454, 1038, 952, 562, 2652, 476, 271, 912, 2018, 1820, 9497, 27916, 585, 476, 274, 7643, 5602, 10517, 12248, 6658, 263, 278, 994, 0, 454, 7116, 2544, 17342, 454, 567, 834, 4504, 1238, 2563, 8950, 32730, 543, 8668, 8232, 20350, 567, 834, 25413, 2264, 7177, 20350, 567, 834, 291, 520, 15390, 5071, 543, 23840, 20350, 567, 834, 30606, 18112, 5034, 5071, 543, 14691, 4840, 672, 23378, 5503, 17342, 454, 567, 834, 5881, 281, 876, 4456, 268, 6021, 281, 876, 4456, 14824, 5400, 281, 876, 4456, 268, 1015, 281, 876, 4456, 14824, 5400, 281, 876, 4456, 268, 1556, 281, 876, 4456, 14824, 6021, 281, 876, 4456, 268, 1015, 281, 876, 4456, 20350, 567, 834, 1015, 281, 876, 4456, 268, 4905, 281, 876, 15014, 14824, 1556, 281, 876, 4456, 268, 4905, 281, 876, 15014, 14824, 1321, 281, 876, 15014, 268, 6349, 281, 876, 15014, 14824, 4905, 281, 1789, 15014, 268, 6860, 281, 1789, 15014, 4840, 672, 476, 6540, 258, 10818, 22322, 3698, 1205, 305, 719, 710, 263, 1485, 2187, 672, 2220, 527, 7815, 284, 19127, 23526, 834, 338, 1495, 599, 9899, 567, 942, 314, 273, 27994, 257, 734, 285, 257, 266, 7116, 2544, 314, 271, 16689, 23526, 834, 332, 10185, 9899, 567, 942, 314, 272, 27994, 257, 734, 285, 257, 266, 7116, 2544, 314, 272, 16689, 23526, 834, 339, 11698, 9899, 476, 942, 314, 272, 27994, 257, 734, 285, 257, 266, 7116, 2544, 314, 272, 27994, 257, 315, 333, 257, 32504, 4449, 16875, 942, 314, 277, 27994, 257, 734, 285, 257, 266, 7116, 2544, 314, 274, 16689, 23526, 834, 14954, 11888, 9899, 5503, 314, 271, 27994, 257, 734, 285, 257, 266, 7116, 2544, 314, 271, 27994, 257, 315, 333, 257, 32504, 4449, 16875, 942, 314, 274, 27994, 257, 734, 285, 257, 266, 7116, 2544, 314, 272, 27994, 257, 315, 333, 257, 32504, 4449, 16875, 942, 314, 276, 27994, 257, 734, 285, 257, 266, 7116, 2544, 314, 273, 3910, 1363, 3097, 23526, 834, 628, 11787, 9899, 942, 314, 275, 27994, 257, 734, 285, 257, 266, 7116, 2544, 314, 274, 16689, 23526, 834, 325, 27518, 9899, 567, 942, 314, 278, 27994, 257, 734, 285, 257, 266, 7116, 2544, 314, 273, 16689, 23526, 7684, 454, 672, 2132, 2220, 527, 7815, 10947, 263, 1485, 2437, 514, 20777, 1554, 5602, 825, 692, 258, 935, 1288, 547, 8520, 454, 935, 284, 272, 454, 6112, 263, 935, 285, 271, 2567, 22322, 825, 1554, 284, 6358, 2891, 10938, 513, 1554, 286, 834, 264, 825, 454, 825, 1820, 263, 1326, 305, 719, 710, 263, 1485, 11924, 27719, 333, 8442, 476, 7531, 672, 1948, 935, 1288, 547, 2165, 3729, 3097, 825, 14827, 284, 6358, 2891, 4777, 579, 530, 13860, 3136, 286, 314, 312, 21610, 316, 19515, 825, 952, 263, 1410, 527, 2525, 262, 344, 262, 610, 14827, 2525, 262, 312, 262, 2187, 1038, 598, 284, 272, 454, 825, 8640, 263, 1410, 527, 2525, 262, 333, 262, 610, 14827, 2525, 262, 301, 262, 476, 2187, 8587, 598, 284, 271, 19638, 19638, 0, 5035, 594, 614, 1807, 912, 476, 1219, 6449, 8181, 9191, 1345, 267, 12055, 762, 2187, 825, 1582, 269, 3438, 762, 815, 12055, 762, 454, 825, 1582, 269, 19387, 815, 910, 272, 692, 476, 1219, 6449, 6352, 9191, 1345, 2187, 825, 2132, 7003, 4311, 269, 3438, 762, 2020, 476, 7711, 27393, 1399, 454, 476, 1219, 2944, 4311, 2187, 825, 2132, 1582, 269, 19387, 2652, 7003, 4311, 269, 3438, 762, 264, 910, 476, 272, 692, 476, 7711, 27393, 1399, 454, 476, 1219, 1699, 4311, 2187, 825, 2132, 1582, 269, 3438, 762, 314, 1345, 269, 19387, 6540, 476, 7711, 27393, 1399, 454, 476, 1219, 3356, 4311, 2187, 825, 2132, 630, 1345, 269, 19387, 1341, 476, 272, 264, 1315, 7003, 4311, 269, 3438, 762, 2020, 476, 1219, 1985, 4311, 2187, 825, 1582, 269, 19387, 6834, 476, 272, 692, 825, 952, 630, 1345, 269, 19387, 2999, 7003, 4311, 269, 3438, 762, 15892, 8587, 2132, 1582, 269, 3438, 762, 314, 1345, 269, 19387, 6540, 825, 2132, 7183, 692, 476, 1219, 19268, 4311, 2187, 825, 1582, 269, 19387, 815, 910, 272, 7531, 5035, 594, 614, 2209, 291, 1112, 912, 476, 1219, 6449, 8181, 9191, 1345, 2187, 825, 1582, 269, 3438, 2209, 815, 9598, 10797, 476, 1219, 6449, 3553, 14403, 9191, 1345, 267, 1883, 267, 1871, 2187, 825, 1582, 269, 3438, 2209, 314, 4486, 316, 815, 1871, 692, 476, 1219, 6449, 1326, 14403, 9191, 1345, 267, 1883, 2187, 825, 2132, 1582, 269, 3438, 2209, 314, 4486, 6540, 476, 1219, 3688, 4311, 2187, 825, 2132, 1582, 269, 3438, 2209, 29096, 10797, 476, 1219, 10569, 4311, 2187, 825, 2132, 1582, 269, 3438, 2209, 269, 12399, 10797, 476, 1219, 2418, 4311, 2187, 825, 2132, 1582, 269, 3438, 2209, 269, 11161, 10797, 476, 7711, 27393, 1399, 454, 476, 1219, 782, 5091, 821, 4311, 2187, 825, 585, 12055, 1807, 538, 1582, 269, 3438, 2209, 269, 11161, 10031, 8587, 952, 630, 2254, 12055, 1807, 6155, 821, 2187, 1038, 2132, 8771, 692, 825, 2132, 6936, 0, 5814, 11346, 267, 1187, 551, 8962, 22698, 4878, 454, 3698, 5207, 7272, 6055, 15058, 318, 274, 17338, 15058, 318, 6493, 2187, 825, 1948, 12433, 519, 5207, 1587, 540, 476, 274, 9981, 454, 825, 3193, 7272, 6055, 815, 10581, 3488, 268, 8882, 5073, 825, 1295, 8217, 815, 11713, 825, 3193, 8217, 815, 11713, 825, 585, 1775, 538, 1592, 15058, 318, 6493, 912, 1038, 1820, 32384, 7272, 6055, 994, 1038, 1820, 263, 2381, 8217, 994, 1038, 1820, 32384, 8217, 994, 1038, 1820, 2891, 18478, 621, 5602, 1038, 1295, 8217, 6910, 9217, 994, 1038, 3193, 8217, 6910, 9217, 994, 1038, 1225, 26174, 815, 476, 3193, 263, 318, 20123, 8217, 263, 2381, 8217, 1070, 9041, 20123, 8217, 32384, 8217, 4917, 1038, 1642, 1295, 8217, 15631, 272, 2639, 1038, 1642, 3193, 8217, 15631, 272, 2639, 1038, 952, 1225, 26174, 3436, 3193, 7272, 6055, 912, 2018, 3193, 7272, 6055, 815, 1225, 26174, 454, 1038, 3193, 8217, 815, 1295, 318, 273, 5332, 4548, 32384, 8217, 267, 1775, 994, 1038, 1295, 8217, 815, 3193, 318, 273, 5332, 4548, 263, 2381, 8217, 267, 1775, 994, 825, 2132, 3193, 7272, 6055, 692, 825, 1948, 2132, 1187, 551, 8962, 18622, 706, 576, 263, 28072, 6230, 592, 267, 1587, 318, 6493, 267, 910, 272, 2020, 3698, 9041, 20123, 8217, 17338, 15058, 318, 6493, 2187, 825, 2132, 1187, 551, 8962, 18622, 706, 576, 263, 28072, 6230, 592, 267, 1592, 15058, 318, 6493, 2020, 3698, 1295, 318, 273, 5332, 4548, 17301, 8217, 267, 1775, 2187, 825, 952, 703, 8217, 543, 7003, 17301, 8217, 264, 2652, 476, 273, 912, 1038, 711, 28804, 815, 3193, 17301, 8217, 994, 1038, 952, 1775, 2999, 711, 28804, 912, 2018, 703, 8217, 27776, 8217, 28827, 263, 2254, 28804, 13580, 815, 1775, 454, 825, 8640, 703, 8217, 610, 7003, 17301, 8217, 264, 2999, 476, 273, 912, 1038, 703, 8217, 6910, 9217, 994, 825, 2132, 703, 8217, 692, 3698, 3193, 318, 273, 5332, 4548, 17301, 8217, 267, 1775, 2187, 825, 952, 703, 8217, 543, 7003, 17301, 8217, 264, 2652, 476, 273, 912, 1038, 711, 26174, 815, 1295, 17301, 8217, 994, 1038, 952, 1775, 3436, 711, 26174, 912, 2018, 703, 8217, 27776, 8217, 28827, 263, 2254, 26174, 13580, 815, 1775, 454, 825, 8640, 703, 8217, 610, 7003, 17301, 8217, 264, 2999, 476, 273, 912, 1038, 703, 8217, 6910, 9217, 994, 825, 2132, 703, 8217, 692, 4289, 15058, 318, 6493, 815, 30585, 1015, 267, 910, 1015, 267, 476, 272, 267, 476, 274, 267, 476, 273, 2639, 2745, 22607, 580, 4554, 7272, 6055, 15058, 318, 274, 17338, 15058, 318, 6493, 11723, 692, 258, 1219, 3950, 318, 273, 5332, 4548, 17301, 8217, 267, 1775, 2187, 258, 672, 952, 703, 8217, 543, 7003, 17301, 8217, 13843, 476, 273, 2187, 258, 1363, 1129, 1652, 8217, 815, 11713, 258, 1363, 1130, 8548, 777, 815, 31460, 258, 1363, 585, 1535, 538, 703, 8217, 912, 258, 17264, 4012, 815, 2612, 3287, 994, 258, 17264, 1129, 1652, 8217, 6910, 3287, 994, 258, 17264, 1130, 8548, 777, 314, 332, 698, 316, 815, 1535, 454, 258, 3097, 258, 1363, 1295, 8548, 1725, 3363, 815, 1295, 4433, 793, 1652, 8217, 994, 258, 1363, 1775, 8548, 1725, 3363, 815, 2612, 9217, 994, 258, 1363, 952, 3193, 263, 2381, 8548, 1725, 3363, 267, 1775, 8548, 1725, 3363, 264, 2652, 1775, 8548, 1725, 3363, 912, 258, 17264, 703, 8217, 31927, 263, 1998, 8548, 777, 314, 2381, 8548, 1725, 3363, 7481, 258, 17264, 703, 8217, 6910, 9217, 994, 258, 1363, 2132, 703, 8217, 454, 258, 672, 8640, 7003, 17301, 8217, 2999, 476, 273, 2187, 258, 1363, 703, 8217, 6910, 9217, 994, 0, 258, 28605, 8193 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 23176, 786, 4309, 835, 27446, 689, 1142, 2385, 563, 25187, 540, 18763, 2667, 24142, 454, 763, 2034, 1876, 540, 18472, 267, 1634, 607, 519, 1876, 540, 4830, 25819, 267, 2829, 602, 519, 27586, 585, 1114, 7592, 1028, 677, 10446, 540, 835, 1776, 1282, 519, 5250, 540, 13708, 26347, 269, 901, 1797, 602, 519, 18472, 540, 835, 16023, 1281, 711, 1860, 519, 18472, 540, 1776, 16023, 269, 3962, 27446, 585, 513, 16023, 814, 606, 3160, 4960, 540, 1373, 15110, 563, 4322, 4031, 540, 18472, 1683, 519, 5748, 585, 1620, 875, 4719, 7592, 616, 5293, 1524, 998, 5481, 269, 1635, 4974, 891, 4031, 267, 3744, 666, 1732, 3589, 543, 5659, 22420, 3270, 267, 607, 1134, 607, 1020, 2994, 585, 4719, 13508, 543, 519, 2126, 540, 4719, 4713, 563, 288, 15722, 32200, 4009, 568, 513, 3730, 1907, 538, 11976, 602, 2337, 3589, 519, 5506, 540, 1978, 7592, 1373, 5293, 593, 689, 3237, 547, 15556, 269, 898, 568, 3957, 1310, 3204, 1400, 323, 15722, 32200, 267, 513, 3703, 4719, 626, 945, 1101, 5189, 519, 1523, 538, 519, 2038, 476, 736, 628, 2540, 563, 763, 15722, 32200, 4009, 568, 513, 7470, 602, 2636, 721, 547, 14650, 543, 5173, 519, 2009, 10659, 540, 6090, 602, 666, 581, 15110, 269, 898, 568, 2523, 5363, 950, 4974, 7592, 602, 616, 6417, 676, 2789, 6090, 267, 971, 607, 3750, 2681, 610, 4463, 563, 2414, 946, 513, 15722, 32200, 4009, 267, 649, 1376, 676, 7114, 519, 27586, 5645, 676, 1142, 2385, 585, 513, 1808, 16023, 269, 1452, 27586, 616, 6719, 676, 5022, 267, 609, 8789, 27586, 3335, 3254, 538, 26627, 27664, 5022, 543, 12424, 633, 27586, 538, 27608, 5022, 563, 2690, 1383, 267, 1577, 779, 2015, 513, 2241, 16023, 899, 8768, 2681, 538, 890, 320, 2371, 269, 769, 713, 2013, 267, 519, 8789, 27446, 585, 13711, 5810, 568, 6719, 607, 968, 303, 5608, 1247, 519, 12424, 633, 27446, 585, 3043, 5810, 568, 6719, 607, 968, 335, 9731, 2171, 1287, 1711, 513, 4009, 7470, 267, 609, 1142, 2427, 8204, 835, 2385, 779, 27586, 269, 634, 2009, 10659, 540, 27586, 616, 1287, 4904, 538, 519, 1647, 10945, 267, 1759, 593, 519, 4031, 540, 18472, 563, 3528, 6313, 519, 15722, 32200, 4009, 267, 649, 666, 3313, 519, 5506, 540, 1114, 1024, 8040, 543, 4307, 8040, 538, 519, 15556, 269, 901, 1344, 568, 1898, 585, 1620, 543, 17782, 3270, 540, 18472, 543, 519, 10171, 540, 1978, 7592, 1373, 6829, 538, 2104, 5481, 563, 1103, 3932, 267, 15722, 32200, 10945, 616, 513, 4105, 1907, 538, 11976, 602, 2636, 721, 547, 14650, 543, 5173, 519, 5506, 540, 7592, 1373, 5293, 593, 269, 4197, 15722, 32200, 10945, 568, 1898, 585, 26762, 18472, 3270, 543, 17782, 519, 4093, 540, 4719, 22613, 563, 2026, 851, 540, 938, 968, 7049, 7497, 5623, 6651, 8382, 6206, 2223, 649, 786, 1631, 5490, 883, 519, 1523, 540, 4719, 22613, 269, 18726, 22613, 616, 513, 4909, 1907, 538, 1620, 875, 7592, 616, 15110, 689, 835, 5108, 547, 519, 1985, 269, 1635, 4974, 4719, 22613, 267, 3744, 543, 9742, 619, 666, 3589, 543, 5659, 519, 10171, 540, 1978, 7592, 17729, 538, 15556, 563, 7049, 2045, 22613, 616, 1759, 593, 519, 3741, 540, 21780, 27318, 18472, 267, 799, 729, 3964, 676, 15535, 528, 21780, 601, 538, 519, 476, 866, 628, 2540, 269, 21780, 601, 779, 6901, 609, 890, 320, 2371, 3366, 547, 519, 6602, 540, 8789, 543, 12424, 633, 7592, 543, 519, 1523, 540, 27586, 269, 1635, 15385, 2371, 609, 1114, 7592, 267, 21780, 601, 729, 2111, 547, 7747, 22150, 3270, 540, 18472, 563, 3080, 540, 519, 1034, 4122, 1031, 2645, 538, 4719, 22613, 568, 519, 15722, 32200, 4009, 269, 901, 2241, 7470, 2636, 3744, 547, 14650, 519, 2009, 4093, 540, 513, 3444, 1063, 1079, 2043, 609, 1634, 1024, 8040, 269, 1635, 9256, 519, 2009, 27586, 689, 1142, 2385, 267, 519, 15722, 32200, 4009, 666, 3313, 519, 5506, 540, 1114, 1024, 8040, 543, 4307, 8040, 17729, 538, 519, 15556, 563, 763, 15722, 32200, 4009, 568, 9112, 676, 11093, 519, 2009, 27586, 689, 835, 2385, 2059, 519, 1283, 540, 519, 7470, 543, 519, 2009, 27586, 689, 519, 824, 2385, 2059, 519, 2427, 269, 3962, 4216, 538, 519, 7470, 4564, 513, 1761, 4999, 540, 27586, 538, 519, 15556, 269, 1635, 6313, 519, 4611, 1024, 8040, 267, 3744, 666, 1118, 11236, 827, 519, 7592, 602, 786, 581, 6829, 563, 7049, 2045, 22613, 543, 15722, 32200, 10945, 616, 17170, 2645, 585, 4974, 18472, 3270, 543, 1620, 519, 4719, 4493, 540, 7592, 269, 1358, 1450, 3173, 547, 1118, 11236, 543, 3313, 519, 5506, 540, 1808, 4093, 538, 9960, 3292, 267, 2564, 11976, 267, 543, 824, 4610, 563, 3528, 13215, 519, 3741, 540, 4719, 22613, 543, 6220, 873, 883, 938, 1620, 540, 11976, 267, 649, 666, 2744, 4514, 4030, 883, 519, 1950, 1158, 540, 19021, 640, 543, 3565, 547, 7760, 538, 1585, 1644, 4610, 563, 1103, 11976, 267, 1395, 334, 1506, 8455, 22613, 616, 513, 4909, 1907, 1031, 547, 1353, 519, 18472, 540, 513, 2582, 16023, 269, 1635, 6313, 519, 15556, 4611, 689, 519, 20282, 540, 2043, 609, 1634, 1024, 8040, 267, 3744, 666, 3313, 519, 3270, 540, 18472, 543, 3589, 519, 10171, 540, 1808, 7592, 1373, 5293, 593, 547, 2104, 5481, 563, 2414, 1685, 513, 1395, 334, 1506, 8455, 3444, 267, 1079, 2043, 616, 5697, 609, 1114, 1024, 8040, 585, 513, 1808, 16023, 269, 2290, 1367, 568, 4630, 27340, 748, 8789, 630, 935, 8877, 1079, 12215, 540, 519, 8789, 27446, 264, 543, 519, 824, 1367, 568, 4630, 27340, 748, 12424, 633, 630, 935, 8877, 1079, 12215, 540, 519, 12424, 633, 27446, 1040, 634, 8789, 27446, 568, 6719, 676, 513, 3854, 4484, 267, 1247, 519, 12424, 633, 27446, 568, 6719, 676, 513, 27608, 4484, 563, 7628, 519, 3444, 267, 519, 13708, 26347, 630, 16303, 2281, 264, 689, 1142, 2385, 9192, 14477, 547, 1106, 519, 15556, 269, 3962, 2385, 8309, 835, 27446, 585, 519, 16023, 1373, 6594, 267, 4611, 538, 15556, 602, 27836, 835, 27446, 689, 1142, 2385, 563, 763, 2009, 10659, 540, 27586, 602, 666, 581, 15110, 689, 519, 3237, 616, 5462, 1210, 15722, 32200, 10945, 269, 634, 15722, 32200, 4009, 568, 513, 3308, 1907, 602, 2982, 519, 1114, 1024, 8040, 543, 4307, 8040, 602, 666, 1267, 689, 519, 3444, 563, 5475, 519, 15722, 32200, 4009, 568, 4904, 856, 267, 519, 1024, 28437, 543, 4307, 28437, 12753, 540, 519, 15556, 666, 581, 5462, 269, 634, 1024, 28437, 5223, 4564, 519, 5223, 540, 1114, 1024, 8040, 538, 519, 15556, 267, 1247, 519, 4307, 28437, 5223, 4564, 519, 5223, 540, 1114, 2168, 7592, 4767, 563, 3528, 7421, 519, 2164, 540, 1395, 334, 1506, 8455, 22613, 267, 3744, 666, 2744, 4030, 883, 875, 7592, 616, 15110, 543, 1118, 11236, 827, 519, 10171, 540, 1978, 7592, 17729, 538, 2104, 5481, 269, 901, 1344, 666, 581, 1031, 538, 1585, 4610, 267, 971, 607, 6683, 267, 4915, 267, 543, 12105, 7350, 563, 1103, 11976, 267, 513, 1019, 1506, 8455, 3444, 568, 513, 9960, 4603, 602, 3322, 519, 1353, 540, 1079, 1114, 7592, 693, 519, 1482, 942, 269, 1635, 6313, 519, 18472, 3270, 540, 891, 7592, 267, 3744, 666, 2744, 513, 1732, 1620, 540, 875, 1978, 4162, 616, 5293, 1524, 689, 835, 5108, 547, 519, 1985, 563, 1103, 513, 1019, 1506, 8455, 3444, 267, 2043, 609, 1114, 1024, 8040, 585, 1079, 1808, 7592, 616, 18084, 547, 3132, 15556, 269, 1677, 3589, 519, 2009, 4093, 540, 891, 22613, 267, 513, 15722, 32200, 4009, 666, 581, 8246, 269, 589, 15722, 32200, 4009, 568, 513, 7470, 602, 2337, 538, 3308, 1944, 519, 2009, 5444, 10659, 602, 666, 581, 5833, 538, 519, 15556, 563, 8794, 519, 15722, 32200, 12384, 454, 2414, 1685, 513, 1019, 1506, 8455, 3444, 1210, 513, 15722, 32200, 4009, 267, 519, 1024, 8040, 540, 519, 3237, 616, 2854, 593, 519, 5011, 540, 519, 4009, 269, 1280, 1383, 267, 1577, 779, 2015, 513, 3444, 1063, 2043, 609, 519, 29294, 589, 320, 289, 321, 543, 589, 320, 289, 321, 269, 3962, 2385, 19299, 835, 8789, 27446, 630, 288, 264, 543, 835, 12424, 633, 27446, 630, 320, 264, 585, 519, 1101, 16023, 267, 543, 835, 8789, 27446, 630, 289, 264, 543, 835, 12424, 633, 27446, 630, 321, 264, 585, 519, 2034, 16023, 563, 763, 1024, 8040, 540, 519, 15556, 616, 5462, 676, 9256, 519, 27586, 689, 1142, 2385, 269, 634, 2009, 10659, 540, 27586, 616, 1287, 6592, 543, 1031, 547, 3589, 519, 15556, 779, 4307, 8040, 267, 799, 616, 519, 2168, 7215, 540, 519, 7592, 563, 11328, 31147, 519, 11778, 454, 5475, 11264, 513, 1019, 1506, 8455, 3444, 1210, 513, 15722, 32200, 4009, 267, 621, 568, 1271, 547, 4612, 519, 2164, 8308, 269, 589, 26737, 5223, 666, 581, 7229, 676, 10203, 519, 1297, 540, 15556, 609, 1142, 26737, 543, 12270, 873, 9935, 269, 6684, 267, 513, 29294, 5223, 666, 581, 5462, 676, 10203, 519, 1297, 540, 15556, 609, 1142, 29294, 563, 3528, 7421, 519, 2164, 540, 513, 1019, 1506, 8455, 3444, 267, 3744, 666, 1118, 11236, 827, 519, 10171, 540, 1978, 7592, 1373, 6829, 538, 2104, 5481, 269, 901, 1702, 568, 3407, 538, 4610, 971, 607, 6683, 267, 4915, 267, 543, 12105, 7350, 563, 19064, 6372, 5510, 338, 7428, 2637, 8040, 454, 19064, 6372, 5510, 338, 7428, 26263, 8040, 454, 347, 5723, 267, 2806, 267, 513, 289, 267, 705, 454, 30106, 718, 609, 6960, 4064, 267, 30460, 609, 4544, 4064, 267, 10374, 609, 6960, 4064, 267, 10374, 609, 4544, 4064, 454, 347, 5723, 267, 2806, 267, 513, 289, 267, 705, 454, 30106, 718, 609, 6960, 4064, 267, 30460, 609, 4544, 4064, 267, 10374, 609, 6960, 4064, 267, 10374, 609, 4544, 4064, 454, 1103, 11976, 267, 18106, 17282, 4016, 547, 513, 3510, 1141, 9444, 540, 519, 10246, 997, 3029, 568, 8789, 936, 519, 824, 267, 4611, 538, 513, 16471, 540, 519, 7592, 269, 901, 7613, 568, 849, 1634, 607, 13591, 18472, 610, 9864, 17282, 563, 1103, 606, 18106, 17282, 9183, 267, 519, 10636, 27340, 748, 29294, 7472, 513, 26737, 602, 568, 513, 4999, 540, 519, 1079, 4630, 27340, 748, 4307, 8040, 269, 1280, 1383, 267, 538, 513, 8768, 2249, 267, 1141, 2699, 630, 305, 305, 264, 543, 3043, 630, 310, 310, 264, 616, 519, 6986, 321, 1042, 4630, 27340, 748, 1024, 8040, 267, 519, 10316, 29294, 630, 305, 310, 264, 1131, 1267, 538, 11909, 5810, 563, 1692, 1281, 769, 14814, 18067, 766, 2049, 888, 1103, 14814, 17282, 4386, 950, 9444, 27446, 568, 4625, 8789, 936, 519, 824, 269, 5502, 267, 1312, 27586, 2769, 741, 7592, 267, 4611, 538, 606, 13591, 26737, 269, 901, 568, 1813, 547, 519, 4719, 5872, 8345, 693, 519, 7636, 1377, 267, 7133, 519, 26737, 4082, 563, 19284, 538, 2347, 17282, 267, 1141, 835, 27446, 4625, 13968, 519, 4527, 540, 1776, 267, 538, 18106, 17282, 267, 1312, 27586, 723, 606, 1764, 593, 519, 26737, 538, 513, 20762, 6073, 269, 634, 18106, 17282, 9183, 949, 2049, 950, 519, 5444, 7472, 513, 3940, 609, 513, 18262, 1198, 267, 1141, 519, 1377, 540, 5444, 4082, 5540, 519, 26737, 563, 14300, 540, 769, 14814, 18067, 766, 454, 2304, 1383, 540, 18106, 17282, 666, 581, 2938, 538, 26882, 323, 4048, 976, 269, 1879, 513, 4630, 27340, 748, 29294, 585, 2699, 2681, 630, 305, 305, 264, 568, 18084, 609, 513, 4630, 27340, 748, 29294, 585, 3043, 2681, 630, 310, 310, 1070, 519, 4611, 10636, 27340, 748, 29294, 630, 305, 310, 264, 11729, 11909, 23469, 26882, 323, 16400, 5810, 563, 5194, 1383, 568, 2938, 538, 519, 1656, 31647, 1014, 9269, 9742, 269, 1879, 513, 3109, 1922, 324, 9312, 9269, 630, 17668, 264, 568, 18084, 609, 513, 3043, 1922, 324, 9312, 9269, 630, 310, 310, 1070, 519, 15556, 630, 289, 310, 264, 4159, 513, 17824, 880, 3766, 2001, 13692, 32442, 267, 799, 568, 606, 13591, 1063, 3109, 543, 3043, 563, 4322, 1806, 9414, 875, 18106, 17282, 2636, 585, 513, 9962, 2039, 540, 4307, 8040, 267, 4611, 538, 2189, 7648, 540, 7592, 563, 1103, 11976, 267, 13798, 7631, 766, 568, 513, 1826, 540, 18472, 1141, 1312, 27586, 538, 513, 5444, 6292, 616, 6829, 8449, 538, 519, 26737, 540, 519, 1367, 269, 901, 1797, 602, 9444, 27446, 568, 8789, 610, 12424, 633, 267, 543, 789, 1312, 3565, 547, 519, 28507, 7592, 540, 519, 11248, 563, 19284, 538, 8789, 3146, 947, 633, 18472, 267, 1141, 835, 27446, 13968, 519, 4082, 540, 519, 824, 267, 538, 13798, 7631, 766, 267, 1312, 27586, 616, 4628, 6829, 269, 901, 5012, 547, 519, 4527, 540, 1312, 7592, 8195, 267, 1510, 1022, 16471, 610, 4999, 540, 519, 7592, 563, 14300, 540, 26467, 7631, 766, 454 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 335, 2444, 1023, 1210, 4999, 4542, 454, 335, 2444, 1023, 815, 11713, 3698, 10395, 13434, 2720, 542, 3799, 2073, 678, 2187, 825, 952, 562, 2525, 337, 610, 678, 2652, 271, 912, 1038, 2132, 476, 272, 454, 825, 2132, 10395, 13434, 2720, 542, 3799, 268, 272, 2073, 678, 268, 272, 264, 1341, 10395, 13434, 2720, 542, 3799, 268, 272, 2073, 678, 994, 333, 815, 476, 1015, 454, 1998, 815, 11713, 1721, 1775, 538, 2039, 3799, 2187, 825, 585, 795, 538, 2039, 263, 271, 2073, 1775, 266, 272, 2187, 1038, 1130, 6910, 263, 23382, 13434, 2720, 542, 9217, 2073, 795, 4917, 825, 533, 2444, 1023, 6910, 263, 1998, 994, 825, 1130, 815, 11713, 2745, 9638, 2444, 1023, 264, 0, 18851, 1477, 32046, 593, 3933, 4455, 476, 1556, 476, 736, 281, 1704, 281, 1240, 476, 1708, 272, 5897, 287, 10461, 281, 476, 11277, 1477, 18851, 24653, 332, 28504, 284, 6358, 2891, 420, 376, 372, 24662, 10951, 486, 9463, 488, 20721, 354, 27384, 374, 16088, 20257, 20889, 3488, 1412, 3418, 332, 25507, 9852, 3418, 323, 25507, 5560, 10142, 323, 284, 332, 265, 1911, 266, 323, 5897, 604, 546, 285, 284, 13199, 543, 546, 27045, 25908, 6769, 825, 1820, 2891, 13107, 509, 18021, 356, 27384, 374, 16088, 288, 638, 23581, 14744, 19197, 546, 285, 284, 25546, 543, 546, 27045, 17168, 6769, 825, 1820, 2891, 13107, 509, 18021, 356, 27384, 374, 16088, 303, 529, 806, 14744, 19197, 546, 285, 284, 25834, 543, 546, 27045, 22213, 6769, 825, 1820, 2891, 13107, 509, 18021, 356, 27384, 374, 16088, 288, 1845, 14744, 19197, 546, 285, 284, 275, 2641, 543, 546, 27045, 276, 2641, 6769, 825, 1820, 2891, 13107, 509, 18021, 356, 27384, 374, 16088, 307, 19653, 14744, 19197, 546, 285, 284, 276, 2420, 543, 546, 27045, 277, 2641, 6769, 825, 1820, 2891, 13107, 509, 18021, 356, 27384, 374, 16088, 294, 655, 7236, 14744, 19197, 546, 285, 284, 25118, 543, 546, 27045, 278, 2420, 6769, 825, 1820, 2891, 13107, 509, 18021, 356, 27384, 374, 16088, 4692, 1356, 14744, 19197, 546, 285, 284, 278, 2537, 543, 546, 27045, 279, 2537, 6769, 825, 1820, 2891, 13107, 509, 18021, 356, 27384, 374, 16088, 8867, 334, 14744, 19197, 546, 285, 284, 279, 2190, 543, 546, 27045, 280, 2537, 6769, 825, 1820, 2891, 13107, 509, 18021, 356, 27384, 374, 16088, 309, 597, 2998, 14744, 19197, 546, 285, 284, 280, 2190, 543, 546, 27045, 9083, 274, 6769, 825, 1820, 2891, 13107, 509, 18021, 356, 27384, 374, 16088, 299, 756, 571, 14744, 19197, 546, 285, 284, 9083, 275, 543, 546, 27045, 12208, 273, 6769, 825, 1820, 2891, 13107, 509, 18021, 356, 27384, 374, 16088, 9928, 23705, 1470, 14744, 19197, 546, 285, 284, 12208, 274, 543, 546, 27045, 14338, 272, 6769, 825, 1820, 2891, 13107, 509, 18021, 356, 27384, 374, 16088, 306, 698, 8636, 23581, 14744, 19197, 546, 285, 284, 14338, 273, 610, 546, 27045, 6344, 6769, 825, 1820, 2891, 13107, 509, 18021, 356, 27384, 374, 16088, 22479, 878, 1941, 8442, 0, 258, 7383, 532, 8021, 1477, 5814, 11885, 607, 5286, 1477, 5814, 21795, 607, 19073, 1477, 5814, 21267, 28272, 607, 12301, 24653, 258, 294, 6395, 630, 326, 2784, 1304, 16350, 3418, 3698, 27240, 1304, 318, 5327, 1417, 11583, 267, 586, 267, 9188, 1600, 318, 16059, 267, 1565, 318, 3433, 267, 621, 619, 8029, 825, 10917, 815, 5286, 269, 9795, 18828, 25910, 5560, 525, 1600, 318, 16059, 17482, 17903, 825, 6724, 815, 703, 5560, 525, 1600, 318, 16059, 269, 30584, 14061, 27729, 314, 272, 29573, 825, 1942, 815, 5286, 25910, 263, 527, 619, 3418, 24541, 825, 585, 1775, 538, 2039, 263, 527, 619, 8029, 1038, 5470, 815, 630, 311, 2608, 5551, 318, 16059, 11053, 264, 910, 586, 1477, 1363, 1477, 1038, 585, 795, 538, 2039, 263, 12407, 4394, 8029, 2018, 2165, 815, 5286, 6230, 738, 17586, 263, 19587, 267, 2473, 18020, 329, 29573, 2018, 10917, 314, 271, 25814, 316, 815, 5551, 318, 16059, 314, 271, 25814, 316, 910, 16733, 14048, 318, 3433, 1315, 7003, 11583, 4297, 2608, 5286, 27904, 263, 3410, 17903, 17264, 1477, 1038, 5551, 318, 16059, 815, 10917, 1477, 1038, 1942, 5157, 316, 815, 8779, 11583, 267, 586, 267, 9188, 1600, 318, 16059, 3418, 1363, 1477, 825, 2132, 5551, 318, 16059, 267, 1942, 5897, 14048, 318, 3433, 815, 476, 271, 269, 1822, 1822, 1822, 272, 1038, 1477, 28375, 815, 476, 7785, 271, 567, 5897, 258, 7335, 10471, 1477, 11907, 815, 19073, 18667, 32269, 3488, 10574, 7272, 8432, 27406, 3299, 20927, 22561, 267, 4408, 284, 9131, 343, 272, 3299, 1412, 343, 273, 11172, 10142, 11907, 23584, 14052, 11907, 6155, 525, 9216, 31476, 343, 815, 5286, 15126, 16597, 11859, 272, 267, 546, 6943, 815, 5286, 269, 15615, 5038, 3418, 344, 815, 5286, 15126, 16597, 11859, 273, 267, 546, 6943, 815, 5286, 269, 15615, 5038, 10142, 258, 18140, 1154, 519, 1239, 1477, 11907, 19502, 263, 11779, 815, 1412, 2675, 2660, 3299, 1535, 815, 1412, 343, 272, 3299, 586, 815, 1412, 343, 273, 3299, 4453, 21653, 815, 630, 279, 267, 274, 264, 10142, 258, 322, 739, 1599, 1477, 3698, 8779, 11583, 267, 586, 267, 5551, 318, 16059, 2567, 567, 1477, 825, 6418, 815, 5286, 4877, 1077, 9230, 263, 311, 265, 9188, 1600, 318, 16059, 11053, 264, 910, 586, 1070, 273, 3418, 825, 2132, 5286, 27904, 263, 27903, 264, 1315, 630, 273, 2608, 7003, 11583, 264, 10142, 343, 318, 2158, 815, 5286, 269, 2158, 12759, 3287, 17903, 343, 5334, 13645, 815, 5286, 4877, 1077, 3287, 267, 273, 3418, 311, 338, 815, 1496, 343, 318, 2158, 267, 1535, 267, 1535, 5334, 13645, 15947, 12639, 17482, 11583, 338, 3418, 3712, 8435, 815, 1239, 17482, 314, 272, 15947, 258, 31412, 1477, 311, 815, 5286, 6745, 4920, 2821, 11583, 338, 264, 17264, 1477, 344, 815, 1239, 269, 559, 665, 18020, 3712, 8435, 268, 272, 281, 3712, 8435, 15947, 344, 23584, 14052, 344, 815, 5286, 269, 9795, 12169, 269, 11161, 3418, 9188, 1600, 318, 16059, 815, 5286, 269, 9795, 18828, 15126, 8443, 271, 267, 271, 267, 271, 8079, 3418, 311, 17482, 267, 9188, 1600, 318, 16059, 17482, 267, 586, 17482, 1477, 258, 32086, 519, 2203, 1477, 21798, 11583, 11971, 267, 9188, 1600, 318, 16059, 3418, 258, 5522, 7627, 1477, 343, 815, 5286, 7456, 1231, 10628, 16597, 11859, 272, 269, 2381, 19572, 1239, 11859, 272, 27982, 19572, 476, 5611, 3418, 326, 267, 1942, 815, 27240, 1304, 318, 5327, 1417, 11583, 267, 586, 267, 9188, 1600, 318, 16059, 267, 14048, 318, 3433, 267, 21767, 3418, 21798, 11583, 267, 586, 267, 575, 3418, 325, 815, 575, 314, 271, 267, 476, 271, 316, 1341, 630, 326, 314, 271, 267, 476, 272, 316, 2608, 1535, 264, 1341, 630, 326, 314, 271, 267, 476, 273, 316, 2608, 5286, 4877, 1077, 3287, 267, 273, 17903, 14808, 267, 4949, 815, 12301, 16553, 30831, 6600, 12127, 1125, 14352, 279, 267, 274, 17903, 1314, 19502, 3287, 267, 535, 267, 1412, 326, 3299, 6003, 8782, 303, 1042, 2109, 1899, 20298, 1314, 31892, 2660, 16597, 11859, 272, 267, 1239, 11859, 273, 267, 6003, 8782, 291, 21648, 564, 20298, 1314, 269, 5586, 754, 10857, 665, 284, 273, 3418, 1314, 15630, 13448, 16932, 3488, 343, 272, 20298, 1314, 15630, 318, 29786, 3488, 343, 273, 20298, 5897, 0, 5814, 2979, 5897, 320, 284, 274, 1477, 321, 284, 275, 5897, 2745, 513, 17070, 1477, 2745, 630, 320, 17070, 12684, 320, 1477, 2745, 2979, 28460, 6357, 3418, 2745, 2979, 4877, 578, 6357, 267, 273, 264, 0, 258, 8794, 5124, 476, 274, 269, 280, 269, 272, 692, 18411, 12407, 272, 281, 21642, 547, 17967, 454, 12407, 273, 281, 6715, 518, 1871, 676, 799, 547, 17967, 692, 305, 582, 919, 4164, 272, 676, 519, 1871, 3403, 607, 4164, 273, 563, 18411, 3698, 17967, 30415, 267, 10047, 2187, 825, 952, 711, 10047, 912, 1038, 1820, 30415, 994, 1038, 2132, 7183, 454, 825, 1820, 30415, 15631, 8527, 566, 281, 316, 1341, 5569, 314, 271, 18737, 8527, 566, 20285, 7462, 567, 4255, 567, 476, 7462, 692, 258, 17967, 3488, 293, 1301, 619, 3299, 476, 271, 2020, 258, 17967, 3488, 293, 1301, 619, 3299, 476, 274, 2020, 258, 17967, 3488, 293, 1301, 619, 3299, 910, 274, 2020, 258, 17967, 3488, 338, 3299, 476, 271, 2020, 258, 17967, 3488, 338, 3299, 476, 274, 2020, 258, 17967, 3488, 338, 4206, 326, 3299, 910, 274, 2020, 258, 17967, 3488, 3299, 476, 271, 2020, 258, 17967, 3488, 3299, 476, 274, 2020, 258, 17967, 3488, 3299, 910, 274, 264, 0, 258, 26643, 454, 258, 910, 2870, 513, 1362, 538, 5124, 454, 258, 910, 4946, 2409, 630, 325, 17313, 3330, 540, 1362, 994, 258, 910, 2870, 1362, 3601, 454, 258, 910, 2870, 1362, 4632, 454, 258, 910, 4946, 6724, 547, 1362, 2409, 454, 258, 910, 2870, 6449, 8181, 1029, 2409, 7531, 5035, 13928, 1384, 825, 1948, 713, 568, 2469, 547, 581, 513, 1362, 4756, 602, 666, 581, 15600, 9170, 454, 825, 1948, 621, 781, 711, 13615, 547, 513, 1808, 3236, 454, 825, 2915, 318, 16769, 815, 834, 20756, 5243, 616, 3579, 5016, 825, 1219, 13626, 4311, 267, 1193, 2187, 1038, 1820, 2891, 289, 2752, 298, 256, 834, 1341, 1193, 9239, 258, 1250, 27594, 815, 13928, 4590, 258, 1250, 27594, 12500, 1046, 2891, 301, 574, 4997, 5602, 258, 1250, 27594, 20508, 815, 834, 293, 18480, 4840, 258, 1250, 27594, 269, 720, 815, 476, 1626, 692, 258, 1820, 30044, 27594, 20508, 994, 258, 1820, 30044, 27594, 269, 720, 2020, 258, 1820, 20573, 690, 6155, 690, 318, 16769, 994, 258, 13928, 6155, 690, 318, 16769, 815, 834, 20756, 972, 4840, 258, 1820, 20573, 690, 6155, 690, 318, 16769, 9239, 258, 1362, 13928, 1384, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 2012, 6889, 2580, 2085, 284, 271, 267, 9663, 10233, 284, 3269, 2187, 258, 1363, 1582, 20508, 815, 2012, 454, 258, 1363, 1582, 269, 720, 815, 2085, 454, 258, 1363, 1582, 8807, 584, 10233, 815, 9663, 10233, 692, 258, 672, 1219, 13626, 4311, 267, 1193, 2187, 258, 1363, 1820, 2891, 289, 2752, 298, 256, 834, 1341, 1193, 9239, 258, 1250, 27594, 815, 13928, 2891, 293, 18480, 2580, 476, 1724, 267, 834, 31342, 5602, 258, 1820, 30044, 27594, 994, 258, 1820, 30044, 27594, 269, 720, 994, 258, 1250, 27594, 12500, 1046, 2891, 27717, 11445, 15419, 3240, 27594, 815, 13928, 4590, 258, 1820, 30044, 27594, 269, 720, 9239, 3240, 27594, 12500, 1046, 815, 476, 272, 454, 2745, 30044, 27594, 12500, 1046, 994, 3240, 27594, 12500, 1046, 2891, 27717, 11445, 8442, 0, 5228, 17511, 1104, 11910, 762, 7531, 3698, 5993, 14682, 9512, 263, 21163, 281, 703, 267, 2557, 281, 10581, 264, 9847, 10581, 912, 825, 8173, 825, 6726, 919, 519, 2557, 540, 7623, 532, 585, 519, 1297, 540, 1296, 3403, 454, 825, 2433, 12407, 1900, 281, 7089, 540, 5712, 547, 7623, 454, 825, 2433, 12407, 2557, 281, 12618, 2557, 454, 825, 2433, 8873, 281, 3281, 15929, 2789, 454, 825, 8173, 825, 2132, 630, 272, 1341, 2557, 264, 2878, 1900, 7531, 3698, 6024, 318, 4186, 1026, 1903, 18692, 825, 3355, 318, 4186, 9084, 281, 10581, 267, 9295, 14682, 9512, 281, 10581, 815, 476, 271, 269, 271, 454, 264, 9847, 11910, 762, 314, 314, 842, 3910, 10581, 14158, 825, 8173, 825, 6282, 525, 513, 1599, 602, 7024, 513, 9295, 267, 31903, 676, 519, 3403, 2208, 693, 1142, 1900, 454, 825, 2433, 12407, 3355, 318, 4186, 9084, 281, 19461, 2179, 547, 581, 8329, 454, 825, 2433, 12407, 9295, 14682, 9512, 281, 15580, 693, 799, 519, 9295, 9428, 1142, 1900, 454, 825, 2433, 8873, 281, 1599, 602, 7024, 519, 9295, 2285, 513, 1900, 454, 825, 29185, 825, 1219, 6418, 263, 21163, 281, 703, 264, 9847, 10581, 912, 1038, 2132, 3355, 318, 4186, 9084, 2608, 5993, 14682, 9512, 263, 21163, 267, 9295, 14682, 9512, 2020, 825, 2132, 6418, 7531, 3698, 6871, 18425, 2492, 318, 4186, 1026, 1903, 18692, 825, 4747, 281, 10581, 2676, 825, 9295, 318, 3433, 281, 10581, 2676, 825, 4747, 14682, 9512, 281, 10581, 815, 476, 271, 269, 271, 2676, 825, 3454, 6958, 4233, 281, 11910, 762, 314, 314, 15615, 3910, 10581, 316, 815, 630, 14433, 1535, 281, 476, 271, 13211, 264, 9847, 11910, 762, 314, 314, 842, 3910, 10581, 14158, 825, 8173, 825, 6282, 525, 513, 1599, 602, 7024, 513, 9295, 1759, 593, 513, 6871, 540, 3403, 4747, 267, 31903, 454, 825, 676, 519, 3403, 2208, 693, 1142, 1900, 269, 634, 9295, 568, 7229, 607, 513, 6871, 540, 1310, 3454, 454, 825, 4747, 269, 634, 3454, 1062, 568, 3177, 607, 513, 1599, 3294, 454, 825, 2433, 12407, 4747, 281, 11192, 20677, 454, 825, 2433, 12407, 9295, 318, 3433, 281, 20587, 720, 540, 4747, 547, 581, 8329, 454, 825, 2433 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5021, 1297, 540, 8843, 602, 513, 2754, 666, 3390, 16155, 2687, 547, 519, 9746, 1915, 269, 898, 786, 711, 2333, 1510, 2671, 14516, 13170, 269, 1703, 616, 930, 6101, 885, 547, 2333, 621, 563, 2005, 568, 519, 1871, 540, 519, 2754, 8843, 543, 9516, 8843, 799, 789, 2285, 547, 9520, 269, 7767, 832, 3180, 519, 8843, 540, 519, 2754, 269, 901, 2882, 12250, 9520, 543, 1367, 10685, 9520, 269, 9129, 4240, 8843, 3112, 9765, 17101, 9698, 2671, 3854, 563, 8138, 30533, 539, 2671, 3854, 912, 2005, 568, 519, 851, 540, 9783, 2671, 3854, 538, 799, 519, 2754, 4607, 513, 20478, 689, 519, 20090, 269, 898, 949, 581, 936, 11357, 30533, 539, 610, 9207, 889, 30533, 539, 9698, 8843, 563, 1607, 568, 851, 540, 519, 20401, 539, 3854, 269, 634, 2698, 2179, 6976, 676, 23265, 568, 1572, 6976, 5346, 3854, 269, 634, 2754, 1902, 338, 519, 6976, 5346, 3854, 538, 4238, 269, 634, 2754, 11392, 6976, 5346, 3854, 1152, 538, 519, 3119, 2344, 998, 7379, 302, 563, 14738, 8843, 616, 9783, 547, 741, 4540, 23265, 693, 513, 2539, 3902, 982, 519, 2344, 3902, 269, 1452, 8843, 616, 2016, 547, 2149, 519, 9562, 540, 519, 4540, 9520, 563, 2252, 519, 2754, 2306, 12434, 789, 2285, 27993, 547, 741, 9520, 543, 621, 568, 1572, 22429, 8843, 269, 12844, 639, 8843, 2333, 519, 2698, 1297, 540, 14222, 8843, 543, 621, 786, 581, 6225, 585, 519, 23265, 563, 306, 933, 520, 9698, 8843, 912, 2005, 2488, 547, 519, 19971, 543, 824, 5520, 540, 606, 3919, 585, 3246, 7214, 3959, 2924, 610, 917, 24376, 610, 1022, 1871, 23937, 547, 519, 2754, 269, 898, 3112, 581, 782, 6838, 811, 982, 476, 1428, 260, 540, 519, 6976, 3854, 563, 2691, 513, 2754, 6499, 547, 8007, 543, 18663, 519, 5520, 267, 789, 2709, 11536, 8008, 269, 634, 5520, 666, 4444, 519, 8843, 540, 519, 2754, 693, 513, 2539, 3902, 982, 519, 2344, 3902, 1369, 513, 1808, 942, 269, 634, 2754, 11099, 519, 5520, 786, 1745, 9562, 676, 8066, 741, 2754, 8843, 563, 7093, 12401, 8843, 3277, 547, 513, 6006, 26318, 267, 6976, 547, 23265, 1354, 1455, 27993, 616, 9783, 269, 1403, 519, 2754, 4422, 28153, 13283, 23265, 786, 1205, 6976, 1101, 1354, 519, 1455, 23265, 269, 2776, 12401, 23265, 798, 711, 3180, 1022, 13359, 2924, 538, 519, 2754, 269, 0, 290, 548, 916, 517, 2160, 3173, 723, 2919, 717, 23044, 267, 12985, 3301, 585, 7320, 7226, 14479, 9781, 563, 290, 548, 916, 517, 2022, 4777, 28118, 8284, 6754, 15182, 731, 3081, 717, 23044, 834, 529, 811, 982, 476, 10204, 2053, 5488, 982, 1022, 5892, 4540, 3301, 267, 9427, 7687, 538, 6571, 543, 4336, 543, 3246, 3755, 609, 513, 1377, 540, 2298, 602, 786, 581, 2484, 811, 2500, 538, 9306, 519, 10848, 540, 5251, 5121, 1701, 15182, 731, 4967, 717, 23044, 568, 519, 1267, 540, 5216, 1296, 540, 1382, 543, 1646, 563, 25413, 2264, 2139, 585, 3235, 5505, 729, 14605, 22885, 538, 2474, 540, 3432, 543, 3965, 6165, 267, 2687, 547, 1291, 717, 23044, 17354, 11977, 667, 4428, 344, 269, 589, 12985, 10196, 945, 5063, 8678, 22720, 310, 267, 667, 4428, 344, 17370, 4710, 519, 3009, 689, 15072, 267, 4389, 1367, 9273, 689, 827, 476, 1789, 3764, 547, 1614, 7643, 267, 543, 3648, 4389, 519, 2179, 540, 3965, 6383, 676, 519, 1982, 563, 291, 4428, 344, 3081, 717, 23044, 568, 1034, 3608, 950, 1031, 538, 14966, 609, 513, 2706, 26367, 267, 855, 621, 3252, 538, 513, 811, 3908, 4390, 593, 18376, 5904, 269, 1261, 4967, 519, 3301, 568, 2966, 547, 948, 6895, 519, 3350, 540, 3662, 5095, 267, 855, 621, 849, 1223, 581, 1031, 547, 2203, 519, 3262, 540, 2068, 563, 5804, 634, 5240, 1056, 630, 17092, 994, 8698, 9509, 9137, 454, 20082, 338, 14645, 9736, 476, 1001, 277, 6176, 5549, 1421, 5975, 1127, 6767, 267, 15930, 267, 7330, 454, 5591, 13366, 1336, 0, 31819, 596, 991, 547, 917, 827, 3933, 560, 1258, 5744, 630, 1240, 266, 994, 763, 4279, 12900, 454, 736, 628, 4239, 476, 1001, 278, 267, 476, 272, 281, 1321, 6751, 454, 14197, 4259, 1344, 454, 300, 20723, 543, 1225, 4513, 454, 10481, 2762, 543, 6082, 454, 763, 4279, 12900, 454, 22069, 12627, 543, 922, 1909, 538, 22114, 540, 10127, 663, 807, 454, 763, 12556, 540, 546, 8705, 1597, 10437, 454, 14532, 540, 25867, 885, 454, 14532, 540, 667, 1941, 807, 454, 293, 3658, 540, 519, 2481, 2740, 454, 14532, 540, 918, 2651, 454, 12507, 9094, 910, 623, 15178, 454, 12507, 9094, 910, 20530, 2209, 454, 31948, 713, 13371, 454, 1839, 628, 9947, 476, 1708, 272, 267, 476, 280, 281, 2537, 7537, 454, 763, 1686, 540, 3933, 560, 1258, 5744, 666, 581, 5258, 883, 1079, 1292, 5712, 910, 6969, 543, 1310, 519, 4279, 12900, 269, 901, 12357, 3032, 659, 569, 8243, 5949, 12964, 8536, 1296, 1354, 519, 2621, 540, 3933, 560, 1258, 5744, 9035, 1650, 269, 898, 4299, 519, 3003, 1158, 267, 3361, 897, 1601, 531, 10969, 566, 543, 3366, 547, 9118, 25096, 563, 7628, 543, 1310, 454, 763, 4279, 12900, 729, 4986, 899, 1022, 2491, 762, 3032, 659, 569, 8243, 269, 1703, 941, 1100, 15027, 2238, 543, 1100, 16767, 1991, 547, 621, 267, 519, 2242, 941, 6727, 269, 16024, 2103, 543, 3744, 616, 18617, 602, 519, 4279, 12900, 568, 3743, 585, 7972, 540, 476, 3445, 260, 540, 1480, 1355, 2551, 2066, 782, 1634, 3338, 267, 1025, 5446, 3368, 540, 519, 25096, 593, 519, 3355, 1198, 540, 2244, 7004, 267, 543, 519, 1964, 593, 6727, 5920, 540, 1804, 2338, 540, 28749, 563, 2690, 5756, 1310, 519, 4279, 12900, 7018, 8941, 540, 5215, 540, 22168, 941, 10356, 543, 5402, 6594, 269, 901, 5795, 2104, 5481, 513, 4960, 547, 1205, 513, 2312, 4605, 540, 1018, 4010, 5949, 1282, 519, 3032, 659, 569, 8243, 563, 2005, 782, 3459, 689, 513, 6727, 695, 20810, 538, 519, 6607, 543, 519, 4478, 267, 799, 16768, 585, 1152, 1896, 7643, 563, 14112, 569, 1310, 519, 3032, 659, 569, 8243, 3294, 3459, 269, 12518, 267, 7068, 543, 28749, 540, 5892, 7164, 2470, 3459, 1570, 1944, 10876, 538, 1390, 2338, 563, 1103, 930, 2127, 849, 7902, 5892, 1875, 7721, 11962, 4703, 540, 2244, 267, 689, 890, 6277, 956, 547, 3003, 10239, 269, 634, 5354, 540, 25096, 5949, 538, 891, 1906, 7643, 267, 950, 519, 9241, 1570, 1242, 2244, 21346, 16290, 543, 16760, 3003, 10034, 609, 782, 540, 741, 7264, 269, 1809, 7429, 2713, 7068, 267, 945, 7902, 10876, 267, 713, 1198, 7018, 1152, 538, 5697, 2127, 267, 1739, 513, 1978, 1283, 4919, 4806, 563, 1103, 1175, 6071, 7643, 519, 3003, 1158, 4957, 543, 2968, 513, 1454, 811, 20935, 543, 5906, 1747, 269, 8409, 945, 941, 18822, 547, 7639, 519, 1570, 1436, 2244, 21346, 1185, 547, 9101, 32356, 267, 535, 836, 338, 543, 17895, 8163, 540, 28749, 789, 723, 2760, 11402, 1354, 269, 6406, 3074, 540, 2025, 30403, 547, 2291, 563, 9961, 5553, 519, 1533, 540, 519, 1158, 7444, 11689, 1242, 269, 5274, 6950, 7307, 547, 7639, 543, 547, 3082, 547, 519, 1007, 2175, 269, 1358, 3893, 1031, 547, 1164, 5834, 540, 28749, 1472, 873, 543, 19927, 875, 547, 4339, 873, 267, 875, 547, 1832, 873, 693, 15922, 543, 1256, 875, 547, 946, 873, 585, 741, 1378, 2115, 269, 6820, 2551, 5555, 8757, 519, 840, 2275, 3326, 8985, 2338, 543, 1007, 3532, 6082, 9782, 689, 519, 607, 1127, 563, 3963, 543, 875, 454, 5591, 835, 6487, 519, 2601, 1946, 519, 4279, 12900, 5949, 543, 1018, 1223, 581, 519, 2707, 540, 971, 14042, 1198, 269, 10801, 519, 1686, 519, 6574, 3621, 8186, 18705, 3875, 6436, 827, 713, 678, 1497, 269, 4107, 540, 873, 8263, 602, 519, 2680, 1185, 9589, 2470, 543, 1223, 1256, 581, 5841, 269, 901, 568, 6462, 676, 519, 6228, 540, 9095, 2033, 28542, 602, 4308, 609, 2230, 543, 4641, 6354, 2827, 269, 1403, 835, 971, 11963, 1223, 581, 23185, 676, 19957, 3761, 540, 1648, 267, 519, 1198, 1223, 581, 5963, 14042, 269, 1717, 267, 19957, 1648, 729, 513, 1523, 11389, 778, 762, 676, 1022, 1634, 1797, 563, 763, 1198, 540, 519, 3032, 659, 569, 8243, 11696, 1194, 513, 2527, 14482, 548, 1636, 566, 11963, 269, 898, 729, 899, 519, 2244, 21346, 543, 7068, 723, 1044, 7658, 19959, 883, 519, 1158, 689, 606, 7164, 4087, 267, 952, 711, 1256, 513, 1114, 3897, 839, 328, 558, 563, 308, 985, 584, 29418, 606, 2680, 540, 971, 9588, 5795, 4332, 547, 930, 16678, 3909, 4978, 543, 4412, 1127, 625, 267, 2705, 1034, 540, 873, 5747, 856, 2429, 519, 5215, 540, 1296, 267, 607, 4986, 899, 713, 5949, 2479, 2094, 563, 25802, 2370, 1344, 3788, 689, 519, 23452, 2085, 267, 519, 942, 1354, 4279, 12900, 269, 14644, 338, 267, 6054, 543, 3332, 602, 15068, 689, 891, 3504, 2053, 616, 2808, 547, 581, 519, 1034, 3407, 13742, 538, 782, 540, 1686, 267, 543, 616, 5402, 12873, 538, 519, 1655, 8021, 543, 1726, 553, 3753, 540, 10127, 663, 807, 563, 23382, 1441, 2040, 540, 19017, 3504, 1702, 3085, 1406, 1450, 1004, 540, 2221, 547, 556, 268, 22056, 4977, 3239, 540, 519, 23452, 616, 779, 1272, 269, 1809, 930, 5013, 666, 581, 7150, 585, 2386, 912, 268, 634, 7851, 540, 519, 2025, 1158, 1397, 513, 4625, 1114, 5251, 269, 3162, 7232, 6141, 851, 540, 10127, 663, 807, 585, 1383, 1031, 547, 9114, 593, 519, 5377, 540, 519, 5836, 267, 1247, 972, 1031, 547, 581, 513, 1804, 1560, 540, 2244, 538, 519, 1858, 540, 25007, 19273, 2895, 25100, 31310, 269, 6270, 27290, 2242, 20109, 1169, 11782, 540, 519, 1158, 563, 268, 18903, 11478, 2907, 840, 2275, 520, 659, 569, 8243, 269, 9147, 20801, 338, 609, 2189, 28542, 540, 519, 23452, 5736, 616, 5402, 12873, 538, 519, 1034, 2463, 762, 9059, 3506, 1472, 519, 1158, 563, 2467, 568, 1100, 22973, 1344, 952, 519, 28749, 11478, 1991, 547, 3032, 659, 569, 8243, 610, 711, 269, 2290, 6149, 16979, 6029, 513, 16657, 338, 3916, 518, 5356, 930, 4622, 540, 10516, 547, 1480, 1355, 2021, 723, 1044, 11552, 691, 1117, 1614, 8536, 1296, 3516, 538, 25867, 885, 269, 1717, 267, 972, 616, 2614, 16002, 923, 945, 1810, 1406, 3494, 602, 621, 729, 1500, 1354, 519, 4279, 12900, 267, 543, 602, 1018, 568, 3254, 593, 621, 1223, 3274, 581, 513, 12572, 6041, 540, 519, 717, 22284, 540, 2470, 563, 268, 1703, 568, 513, 2178, 27421, 1851, 2413, 2520, 6048, 602, 519, 3032, 659, 569, 8243, 11214, 4299, 519, 2518, 4365, 269, 769, 519, 2025, 1158, 24475, 5129, 513, 1454, 8273, 851, 540, 519, 21496, 5858, 269, 27009, 6777, 1152, 8813, 856, 538, 8832, 543, 3844, 2694, 540, 10127, 663, 807, 585, 1152, 1079, 3018, 269, 2368, 6054, 2446, 602, 1354, 519, 3032, 659, 569, 8243, 621, 1031, 547, 3180, 585, 811, 982, 1079, 3275, 269, 901, 1344, 3357, 689, 606, 3504, 11706, 1336, 538, 519, 12617, 2749, 2282, 26689, 325, 10504, 563, 1691, 628, 2904, 476, 1001, 279, 267, 476, 273, 281, 876, 7537, 454, 8070, 513, 19410, 0, 272, 269, 9502, 543, 3252, 540, 12897, 563, 288, 23739, 568, 513, 3758, 602, 568, 22434, 547, 519, 14871, 779, 2780, 950, 17034, 1978, 7270, 269, 13648, 625, 1450, 519, 3896, 267, 1851, 824, 1919, 267, 4558, 543, 23074, 1344, 827, 19855, 6208, 540, 519, 14871, 610, 707, 2780, 543, 267, 4470, 593, 519, 1344, 789, 2270, 543, 519, 1259, 596, 946, 707, 2780, 267, 666, 581, 1031, 547, 5431, 519, 14871, 269, 273, 269, 17785, 657, 632, 12897, 6446, 533, 4240, 324, 3351, 714, 541, 1609, 324, 23063, 1470, 5680, 563, 1892, 13648, 625, 10362, 547, 519, 13574, 518, 281, 8409, 602, 616, 2366, 547, 519, 14871, 779, 12363, 3937, 689, 513, 2780, 610, 6389, 7307, 676, 519, 13574, 518, 543, 689, 799, 519, 3028, 16761, 676, 519, 14871, 568, 3177, 563, 1892, 12059, 9549, 13648, 625, 281, 13648, 625, 602, 616, 2366, 547, 519, 14871, 21485, 338, 2780, 12363, 610, 3926, 689, 513, 6389, 711, 7307, 676, 519, 13574, 518, 267, 855, 2864, 676, 1776, 11769, 602, 20362, 519, 1239, 10356, 676, 519, 12897, 563, 1892, 29140, 13648, 625, 281, 13648, 625, 2966, 547, 5531, 543, 4558, 1239, 1282, 519, 8400, 538, 799, 513, 14871, 568, 4448, 547, 513, 3896, 563, 1892, 6431, 11962, 12897, 281, 1452, 616, 513, 1826, 540, 23739, 538, 799, 519, 1239, 3788, 6740, 538, 519, 12363, 543, 666, 581, 15600, 543, 9268, 585, 513, 1974, 3989, 676, 519, 5428, 3743, 585, 519, 23739, 543, 666, 2039, 689, 513, 1906, 3764, 547, 1896, 1296, 563, 1892, 5811, 13648, 625, 281, 1452, 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, 26611, 16535, 270, 7090, 692, 5814, 2979, 454, 5814, 15259, 454, 5814, 4351, 454, 5814, 556, 454, 5814, 19523, 692, 258, 13159, 519, 7368, 21803, 1599, 2630, 563, 3698, 7368, 21803, 4433, 267, 562, 2187, 825, 7828, 815, 7003, 4433, 994, 825, 10956, 815, 703, 3799, 15828, 839, 994, 825, 12576, 815, 562, 4939, 7828, 454, 825, 1293, 19963, 815, 271, 454, 825, 585, 1775, 538, 2039, 10857, 839, 2187, 1038, 952, 521, 5157, 316, 2525, 262, 320, 12466, 2018, 1293, 19963, 6834, 272, 454, 825, 1293, 19963, 6834, 630, 516, 701, 520, 910, 272, 12684, 12248, 19963, 454, 825, 585, 1775, 538, 2039, 263, 8145, 5407, 2187, 1038, 952, 521, 5157, 316, 2652, 1412, 320, 12466, 2018, 1293, 19963, 6834, 476, 272, 454, 825, 2132, 1293, 19963, 454, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 535, 696, 337, 815, 1930, 263, 657, 269, 523, 1333, 9131, 5495, 9143, 7473, 318, 303, 26059, 28710, 1412, 342, 17210, 825, 521, 815, 6151, 17750, 10797, 825, 562, 815, 703, 263, 3863, 17750, 31156, 825, 1267, 815, 7368, 21803, 4433, 267, 562, 2020, 825, 535, 696, 337, 22182, 19304, 31114, 264, 1341, 1412, 315, 333, 17210, 825, 535, 696, 337, 25379, 4590, 0, 258, 635, 910, 3593, 815, 476, 273, 10563, 375, 368, 27338, 10563, 507, 368, 422, 373, 478, 1477, 258, 635, 910, 3593, 815, 476, 272, 10563, 506, 510, 32510, 478, 32174, 478, 10563, 507, 368, 422, 373, 478, 1477, 258, 635, 910, 3593, 815, 476, 271, 14091, 373, 482, 422, 373, 478, 1477, 258, 635, 910, 3593, 815, 910, 272, 14602, 376, 423, 499, 490, 1341, 274, 10563, 375, 368, 10563, 507, 368, 422, 373, 478, 1477, 258, 4224, 476, 271, 521, 1170, 528, 476, 272, 1957, 476, 273, 10563, 353, 495, 476, 17432, 502, 423, 480, 502, 423, 354, 376, 14091, 482, 352, 424, 506, 376, 423, 358, 368, 10563, 488, 373, 423, 361, 368, 425, 490, 357, 21844, 366, 364, 422, 367, 376, 32174, 496, 10563, 370, 506, 423, 510, 354, 1477, 258, 635, 14091, 367, 368, 3593, 14091, 364, 498, 424, 506, 482, 24653, 5814, 4351, 1477, 7773, 815, 476, 271, 1477, 331, 846, 815, 476, 271, 1477, 9526, 815, 476, 271, 5897, 1721, 1775, 538, 2039, 263, 271, 267, 476, 1015, 8029, 825, 3593, 815, 3403, 2891, 13702, 610, 1085, 1170, 528, 610, 1957, 610, 3247, 1422, 333, 257, 10142, 825, 952, 3593, 2652, 1412, 17380, 262, 6769, 1038, 2736, 1477, 825, 952, 3593, 2652, 1412, 13702, 262, 6769, 1038, 3593, 815, 476, 271, 1477, 825, 8640, 3593, 2652, 1412, 2675, 1170, 528, 262, 6769, 1038, 3593, 815, 476, 272, 1477, 825, 8640, 3593, 2652, 1412, 17549, 262, 6769, 1038, 3593, 815, 476, 273, 5897, 825, 1820, 2891, 2411, 9339, 268, 257, 10142, 825, 635, 815, 4351, 27110, 263, 271, 267, 476, 273, 3418, 825, 1820, 263, 1260, 3418, 825, 952, 635, 2999, 3593, 6769, 1038, 635, 815, 635, 1341, 476, 274, 1477, 825, 1267, 815, 635, 910, 3593, 5897, 825, 1820, 2891, 2411, 9339, 268, 257, 10142, 825, 952, 1267, 2652, 476, 272, 6769, 1038, 3094, 815, 3094, 1341, 476, 272, 1477, 1038, 1820, 2891, 310, 2562, 2580, 3094, 3418, 825, 8640, 1267, 2652, 476, 273, 6769, 1038, 6336, 815, 6336, 1341, 476, 272, 1477, 1038, 1820, 2891, 299, 5308, 292, 2580, 6336, 3418, 825, 8640, 1267, 2652, 476, 271, 6769, 1038, 2721, 815, 2721, 1341, 476, 272, 1477, 1038, 1820, 2891, 291, 6938, 310, 2580, 2721, 10142, 2745, 2891, 310, 2562, 2580, 3094, 267, 834, 299, 5308, 292, 2580, 6336, 267, 834, 291, 6938, 310, 2580, 2721, 264, 0, 5814, 2979, 5897, 5035, 15188, 281, 5897, 567, 1219, 6449, 8181, 9191, 1345, 267, 2012, 267, 10624, 267, 4234, 267, 561, 978, 8029, 11434, 1582, 20508, 815, 2012, 1477, 11434, 1582, 269, 5443, 340, 815, 10624, 1477, 11434, 1582, 7456, 520, 815, 4234, 1477, 11434, 1582, 7456, 978, 815, 561, 978, 5897, 567, 1219, 18287, 5091, 2700, 4311, 267, 3077, 9078, 520, 267, 3077, 9078, 978, 2567, 5897, 11434, 3845, 815, 2979, 28460, 263, 4118, 4877, 578, 6025, 13759, 9078, 520, 910, 1582, 7456, 520, 267, 476, 273, 264, 1341, 2979, 4877, 578, 6025, 13759, 9078, 978, 910, 1582, 7456, 978, 2073, 476, 273, 264, 10142, 11434, 2132, 3845, 5897, 567, 1219, 6449, 1598, 9191, 1345, 8029, 11434, 2132, 1582, 20508, 5897, 5035, 15188, 293, 5407, 281, 5897, 567, 1219, 6449, 8181, 9191, 1345, 8029, 11434, 1582, 14714, 2803, 815, 1496, 1477, 19930, 15188, 3488, 424, 511, 487, 424, 489, 361, 3299, 1412, 424, 511, 486, 422, 378, 372, 423, 363, 372, 424, 480, 376, 422, 366, 373, 424, 480, 368, 3299, 476, 4391, 269, 276, 4029, 277, 4037, 267, 476, 14695, 269, 279, 8287, 876, 1070, 1477, 19930, 15188, 3488, 422, 367, 482, 29306, 368, 424, 480, 361, 3299, 1412, 424, 373, 502, 425, 480, 357, 3299, 476, 4391, 269, 30020, 280, 3374, 267, 476, 14695, 269, 280, 5780, 21497, 1070, 1477, 19930, 15188, 3488, 425, 502, 499, 32510, 506, 424, 506, 350, 425, 504, 490, 3299, 1412, 424, 506, 350, 425, 504, 490, 423, 373, 482, 423, 373, 498, 423, 364, 354, 3299, 476, 4391, 269, 31816, 277, 1724, 267, 476, 14695, 269, 15886, 280, 5952, 1070, 1477, 19930, 15188, 3488, 424, 366, 511, 424, 356, 482, 424, 502, 354, 3299, 1412, 424, 486, 502, 424, 506, 350, 3299, 476, 4391, 269, 6872, 272, 3583, 279, 267, 476, 14695, 269, 280, 8064, 275, 866, 1070, 1477, 19930, 15188, 3488, 424, 351, 483, 423, 350, 506, 424, 356, 482, 423, 480, 503, 424, 356, 478, 3299, 1412, 423, 480, 503, 424, 356, 478, 3299, 476, 4391, 269, 6872, 273, 14681, 267, 476, 14695, 269, 7176, 280, 6021, 275, 1070, 1477, 19930, 15188, 3488, 29306, 482, 424, 356, 478, 423, 482, 353, 425, 493, 361, 28990, 354, 423, 356, 486, 424, 364, 357, 3299, 1412, 422, 376, 361, 423, 356, 487, 423, 373, 482, 423, 373, 498, 423, 364, 354, 3299, 476, 4391, 269, 278, 5780, 4649, 279, 267, 476, 12553, 269, 3445, 278, 271, 3066, 13580, 5897, 567, 1219, 1265, 4311, 267, 4234, 267, 561, 978, 8029, 11434, 1582, 14714, 2803, 31699, 31107, 815, 25754, 4558, 281, 4558, 269, 5632, 322, 5091, 2700, 10857, 520, 267, 331, 978, 3738, 2608, 476, 1911, 1822, 876, 10142, 11434, 2132, 1582, 14714, 2803, 314, 271, 316, 5897, 5035, 30892, 6769, 567, 1219, 6449, 8181, 9191, 1345, 8029, 11434, 1582, 8807, 5407, 815, 15188, 293, 5407, 31476, 567, 1219, 579, 328, 4311, 8029, 11434, 4234, 815, 10581, 9272, 2891, 422, 366, 377, 423, 493, 482, 423, 354, 376, 10563, 508, 483, 423, 510, 354, 17432, 502, 424, 482, 372, 424, 504, 498, 281, 834, 17903, 11434, 561, 978, 815, 10581, 9272, 2891, 424, 506, 482, 423, 493, 482, 423, 354, 376, 10563, 508, 483, 423, 510, 354, 17432, 502, 424, 482, 372, 424, 504, 498, 281, 834, 17903, 11434, 1267, 815, 1582, 8807, 5407, 26098, 10857, 520, 267, 331, 978, 3418, 11434, 1820, 31114, 20508, 267, 1267, 269, 5443, 340, 3418, 5897, 14310, 815, 30892, 14052, 14310, 269, 14241, 14052, 5897, 0, 5228, 10070, 1104, 632, 4302, 692, 3698, 3070, 263, 2056, 11742, 267, 6009, 2187, 825, 2626, 815, 11713, 825, 952, 711, 6009, 610, 10678, 11742, 2652, 476, 271, 912, 1038, 2132, 11713, 825, 3116, 912, 1038, 6009, 31699, 31107, 284, 14433, 1535, 281, 1535, 314, 273, 7481, 1038, 6009, 815, 632, 4302, 27203, 10849, 994, 1038, 1699, 22710, 815, 476, 271, 454, 1038, 960, 318, 28255, 815, 632, 4302, 8443, 7481, 1038, 1247, 6009, 912, 2018, 952, 1699, 22710, 13843, 6009, 314, 271, 6012, 272, 14158, 3546, 6221, 815, 6009, 4877, 963, 1111, 4590, 3546, 960, 318, 28255, 6910, 263, 14403, 994, 2018, 952, 960, 318, 28255, 912, 3546, 952, 960, 318, 28255, 314, 271, 6012, 273, 316, 3436, 10678, 11742, 610, 1699, 22710, 1341, 960, 318, 28255, 314, 271, 6012, 274, 316, 3436, 960, 318, 28255, 314, 271, 6012, 273, 14158, 7386, 960, 318, 28255, 4877, 963, 1111, 4590, 3546, 3116, 912, 7386, 1699, 318, 1740, 815, 960, 318, 28255, 4877, 963, 1111, 4590, 7386, 1699, 22710, 6834, 1699, 318, 1740, 314, 274, 2639, 7386, 2626, 6910, 263, 9690, 318, 1740, 314, 271, 7481, 2018, 3116, 912, 3546, 1699, 22710, 6834, 476, 272, 454, 1038, 2132, 2626, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1820, 4433, 1828, 263, 453, 2412, 267, 20886, 272, 267, 476, 1015, 267, 476, 736, 267, 476, 274, 3910, 1496, 273, 267, 476, 1691, 267, 476, 736, 267, 476, 280, 3910, 1496, 274, 267, 476, 1240, 267, 476, 2190, 267, 476, 273, 3910, 1496, 275, 267, 476, 1839, 267, 476, 2412, 267, 476, 276, 3910, 1496, 276, 267, 476, 2764, 267, 476, 2412, 267, 476, 272, 316, 8079, 2020, 0, 454, 3698, 1394, 10177, 9535, 6262, 660, 267, 8999, 19056, 267, 7132, 267, 14263, 267, 15273, 267, 2820, 2187, 825, 2518, 1295, 19056, 267, 3193, 19056, 454, 825, 952, 524, 660, 2652, 562, 912, 1038, 1295, 19056, 815, 1295, 263, 2381, 19056, 267, 8999, 19056, 994, 1038, 3193, 19056, 815, 3193, 32384, 19056, 267, 2040, 19056, 994, 1038, 2132, 454, 825, 952, 7132, 3436, 476, 271, 912, 1038, 1394, 10177, 9535, 6262, 660, 266, 272, 267, 2040, 19056, 266, 7407, 314, 322, 660, 3910, 7132, 268, 272, 267, 14263, 267, 15273, 267, 2820, 994, 825, 952, 14263, 3436, 476, 271, 912, 1038, 1394, 10177, 9535, 6262, 660, 266, 272, 267, 2040, 19056, 17032, 314, 322, 660, 3910, 7132, 267, 2381, 639, 268, 272, 267, 15273, 267, 2820, 994, 825, 952, 15273, 3436, 476, 271, 912, 1038, 1394, 10177, 9535, 6262, 660, 266, 272, 267, 2040, 19056, 265, 7407, 314, 322, 660, 3910, 7132, 267, 2381, 639, 267, 15273, 268, 272, 267, 2820, 994, 825, 952, 2820, 3436, 476, 271, 912, 1038, 952, 2040, 19056, 13843, 476, 271, 912, 2018, 1394, 10177, 9535, 6262, 660, 266, 272, 267, 2040, 19056, 2260, 7407, 314, 322, 660, 3910, 7132, 267, 2381, 639, 267, 15273, 267, 2820, 268, 272, 994, 1038, 3116, 912, 2018, 1394, 10177, 9535, 6262, 660, 266, 272, 267, 910, 8987, 8999, 19056, 2260, 7407, 314, 322, 660, 25818, 15200, 267, 2381, 639, 31599, 592, 267, 2820, 268, 272, 2020, 19638, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 562, 815, 703, 9272, 15405, 825, 1871, 815, 1592, 9852, 777, 17301, 267, 6358, 14061, 20889, 3890, 4917, 825, 7132, 267, 14263, 267, 3818, 267, 2820, 815, 4786, 17301, 267, 3403, 14061, 20889, 15405, 825, 3193, 19056, 815, 10581, 3488, 268, 8882, 5073, 825, 1295, 19056, 815, 10581, 3488, 8882, 5073, 825, 1394, 10177, 9535, 263, 272, 267, 7407, 314, 271, 3910, 7132, 267, 14263, 267, 20123, 328, 267, 2820, 994, 825, 1820, 32384, 19056, 994, 825, 1820, 263, 2381, 19056, 994, 0, 5228, 10070, 1104, 632, 4302, 454, 5814, 24050, 336, 7531, 3698, 3070, 263, 516, 336, 338, 2187, 825, 2626, 815, 11713, 825, 24050, 815, 11713, 825, 1699, 22710, 815, 476, 271, 454, 825, 960, 5091, 821, 22710, 815, 476, 271, 454, 825, 556, 336, 338, 815, 1496, 8987, 335, 1874, 640, 267, 3813, 267, 4994, 264, 585, 4994, 267, 1496, 335, 1874, 640, 267, 3813, 316, 538, 26246, 263, 516, 336, 338, 22708, 825, 556, 336, 338, 815, 632, 4302, 263, 516, 336, 338, 2020, 825, 1247, 556, 336, 338, 610, 24050, 912, 1038, 952, 556, 336, 338, 543, 1699, 22710, 4939, 476, 274, 2652, 476, 271, 912, 2018, 24050, 336, 269, 515, 1952, 2313, 263, 515, 777, 267, 556, 336, 338, 4877, 963, 1111, 31156, 1038, 952, 24050, 543, 960, 5091, 821, 22710, 10922, 1699, 22710, 912, 2018, 9041, 267, 3813, 267, 4994, 815, 24050, 336, 269, 515, 1952, 641, 263, 515, 777, 994, 2018, 960, 5091, 821, 22710, 815, 1699, 22710, 1341, 3813, 454, 2018, 2626, 6910, 263, 8161, 1341, 476, 272, 994, 1038, 1699, 22710, 6834, 476, 272, 692, 825, 2132, 2626, 7531, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1820, 4433, 1828, 31912, 272, 267, 476, 278, 3910, 1496, 275, 267, 476, 272, 3910, 1496, 276, 267, 476, 273, 3910, 1496, 274, 267, 476, 272, 3910, 1496, 278, 267, 476, 273, 14963, 4917, 825, 1948, 1820, 4433, 1828, 31912, 274, 267, 476, 278, 3910, 1496, 279, 267, 476, 278, 3910, 1496, 3066, 267, 476, 277, 3910, 1496, 277, 267, 476, 278, 3910, 1496, 273, 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 ]
[ 14442, 1231, 7288, 10645, 1010, 1101, 19666, 11802, 269, 2311, 476, 4962, 281, 4366, 267, 646, 8929, 1524, 606, 594, 268, 1240, 25142, 267, 606, 4244, 13198, 1111, 342, 25377, 2012, 585, 513, 631, 1731, 1195, 534, 8566, 675, 341, 747, 21007, 294, 268, 272, 267, 5087, 540, 1744, 574, 12921, 269, 4595, 4436, 4229, 1185, 6603, 519, 16133, 540, 700, 2287, 2784, 267, 4083, 269, 30421, 28500, 729, 10288, 547, 10370, 889, 534, 267, 5111, 476, 3583, 12919, 630, 6246, 5195, 264, 547, 700, 2287, 2784, 543, 4092, 593, 519, 4155, 547, 18293, 269, 634, 30421, 28500, 18423, 693, 10370, 889, 534, 2394, 476, 1789, 5181, 267, 10760, 13485, 547, 1744, 5894, 1088, 7921, 267, 700, 2287, 2784, 543, 631, 8615, 269, 674, 18017, 538, 713, 8396, 1858, 267, 918, 14442, 1231, 7288, 10645, 606, 594, 569, 2313, 514, 24766, 268, 274, 17177, 828, 593, 476, 1704, 5181, 543, 513, 2717, 1731, 17369, 990, 594, 268, 14631, 25142, 593, 476, 2641, 5181, 563, 4002, 476, 273, 5239, 267, 4436, 4229, 9250, 20491, 14977, 874, 3019, 267, 519, 8959, 7580, 18086, 547, 7001, 18293, 269, 769, 1489, 540, 713, 18086, 267, 4083, 269, 30421, 28500, 729, 6410, 547, 853, 629, 3534, 267, 4092, 1175, 5087, 540, 3911, 565, 839, 330, 269, 21952, 689, 853, 629, 3534, 267, 918, 14442, 1231, 7288, 8929, 1524, 513, 570, 1575, 1961, 341, 590, 289, 2282, 918, 27048, 25142, 593, 476, 275, 5239, 269, 2201, 476, 1321, 5239, 267, 4083, 269, 30421, 28500, 729, 10288, 547, 8734, 617, 1872, 3626, 1141, 621, 18423, 585, 2185, 2395, 269, 634, 30421, 28500, 1287, 6410, 547, 606, 2011, 7615, 7178, 540, 918, 16433, 514, 267, 1459, 6377, 570, 591, 267, 593, 476, 1626, 5239, 269, 634, 1739, 1554, 267, 918, 14442, 1231, 7288, 10645, 1010, 11359, 19666, 11802, 936, 606, 594, 268, 1240, 25142, 269, 634, 30421, 28500, 882, 11343, 547, 606, 2011, 7615, 22703, 540, 918, 16433, 514, 593, 476, 2420, 5239, 269, 634, 1985, 1554, 267, 918, 14442, 1231, 7288, 10645, 513, 2717, 1731, 17369, 990, 681, 268, 276, 11028, 18590, 17177, 828, 8929, 1524, 269, 2201, 476, 275, 5437, 267, 4083, 269, 30421, 28500, 1185, 6410, 547, 22859, 5633, 269, 1703, 267, 918, 14442, 1231, 7288, 10645, 1010, 2063, 19666, 11802, 1282, 20491, 4446, 8663, 1601, 320, 593, 476, 2764, 5437, 950, 646, 8929, 1524, 606, 594, 569, 2313, 514, 19129, 268, 273, 2666, 4323, 8484, 2282, 3752, 928, 1013, 690, 832, 330, 269, 2201, 476, 1789, 5437, 267, 4083, 269, 30421, 28500, 6410, 547, 918, 4802, 4092, 476, 5952, 12919, 630, 7871, 5195, 264, 22070, 540, 18293, 269, 2755, 8168, 4229, 1427, 809, 918, 4802, 593, 476, 1428, 5412, 267, 918, 14442, 1231, 7288, 1185, 1044, 2366, 547, 2382, 518, 7921, 593, 476, 1724, 5412, 269, 654, 334, 527, 651, 1185, 25461, 1864, 609, 12180, 6283, 540, 4105, 2930, 3937, 547, 519, 30421, 28500, 563, 1103, 3735, 5130, 476, 3707, 273, 267, 4083, 269, 30421, 28500, 729, 32585, 689, 519, 8109, 13571, 543, 2366, 547, 20908, 879, 2282, 918, 7238, 333, 12127, 6199, 585, 513, 1974, 540, 973, 10967, 566, 543, 25579, 7321, 267, 21945, 593, 476, 2190, 5130, 476, 3707, 273, 269, 769, 20908, 879, 267, 519, 30421, 28500, 4607, 1082, 12051, 1007, 645, 325, 476, 11820, 674, 268, 275, 8484, 269, 2201, 476, 1691, 4989, 267, 4083, 269, 30421, 28500, 4607, 9753, 547, 1847, 547, 623, 2812, 523, 267, 1459, 6377, 1773, 2763, 385, 486, 538, 519, 16231, 6243, 267, 585, 882, 6327, 547, 519, 8109, 13571, 269, 634, 30421, 28500, 1185, 849, 4607, 513, 1007, 19524, 267, 654, 334, 527, 651, 1185, 1044, 11843, 543, 729, 8719, 676, 670, 879, 696, 10458, 29312, 23415, 327, 4752, 269, 11374, 1010, 1753, 4734, 267, 918, 14442, 1231, 7288, 1185, 556, 14765, 1441, 1010, 1770, 693, 20908, 879, 269, 634, 30421, 28500, 1287, 6410, 547, 654, 1329, 4149, 577, 933, 23298, 593, 476, 2190, 4989, 1354, 10760, 547, 2098, 6686, 5341, 2145, 267, 1459, 6377, 3752, 1774, 24504, 267, 513, 8498, 2282, 519, 4683, 11175, 918, 10098, 341, 338, 651, 538, 519, 17235, 320, 269, 1703, 267, 4083, 269, 30421, 28500, 15548, 538, 20491, 3004, 653, 523, 329, 698, 323, 267, 513, 4436, 4831, 3430, 871, 1282, 519, 11135, 540, 519, 23715, 577, 18686, 267, 9250, 593, 476, 279, 2904, 563, 16729, 513, 3126, 540, 882, 23148, 267, 1519, 513, 2110, 17293, 593, 519, 17235, 320, 267, 519, 30421, 28500, 729, 1287, 10288, 547, 519, 2011, 7615, 3957, 10609, 1046, 990, 8862, 320, 1080, 7770, 14150, 593, 476, 1691, 2904, 543, 15548, 538, 519, 5822, 11135, 540, 10609, 1046, 990, 269, 2201, 476, 1626, 2904, 267, 519, 30421, 28500, 1586, 882, 11343, 3001, 547, 1488, 1399, 558, 990, 12921, 267, 1459, 6377, 645, 12112, 332, 583, 267, 1141, 789, 18423, 2394, 476, 2537, 2904, 5885, 4436, 4229, 8165, 538, 519, 5822, 11135, 540, 10609, 1046, 990, 269, 2201, 476, 2537, 2904, 267, 519, 30421, 28500, 729, 10288, 547, 882, 11229, 547, 4446, 341, 1074, 913, 269, 2201, 476, 272, 4873, 267, 4083, 269, 30421, 28500, 6410, 547, 606, 2011, 7615, 693, 3400, 330, 578, 334, 267, 4092, 5111, 28870, 1063, 10609, 1046, 990, 543, 918, 1575, 2103, 330, 269, 634, 1292, 4436, 6859, 538, 602, 8396, 1858, 941, 267, 14634, 547, 519, 5580, 5213, 543, 7001, 540, 966, 528, 821, 30795, 269, 1703, 267, 918, 14442, 1231, 7288, 10645, 1010, 1101, 19666, 11802, 538, 476, 3707, 273, 950, 646, 8929, 1524, 513, 21007, 294, 268, 272, 25142, 22070, 540, 918, 1575, 2103, 330, 593, 476, 275, 4873, 269, 634, 30421, 28500, 18423, 693, 3400, 330, 578, 334, 2394, 476, 2918, 4873, 950, 621, 6410, 547, 645, 1176, 328, 30709, 17377, 345, 269, 4438, 713, 1974, 267, 918, 14442, 1231, 7288, 10645, 2417, 19666, 24984, 267, 513, 30225, 5255, 7219, 8566, 12643, 684, 990, 8566, 644, 28325, 5487, 31769, 268, 274, 25142, 593, 476, 276, 267, 476, 1691, 543, 476, 2190, 4873, 1142, 267, 543, 513, 21007, 294, 268, 272, 593, 476, 2420, 4873, 267, 2921, 1010, 2698, 547, 12964, 563, 4002, 476, 2764, 4873, 267, 519, 1284, 327, 3944, 25638, 15748, 12096, 2349, 879, 630, 19111, 9791, 1070, 519, 476, 3707, 273, 7580, 4832, 18086, 538, 7013, 6576, 269, 634, 6662, 729, 547, 5150, 519, 3282, 4610, 540, 25234, 340, 607, 1134, 607, 606, 4434, 538, 519, 4287, 540, 853, 2718, 2784, 2059, 519, 5292, 8615, 5211, 267, 547, 3382, 519, 1166, 3471, 540, 519, 4434, 2509, 25234, 340, 269, 17130, 539, 609, 19666, 1489, 540, 713, 18086, 729, 13198, 1111, 4148, 582, 974, 476, 275, 630, 21080, 18307, 564, 476, 275, 264, 547, 799, 808, 294, 476, 7367, 729, 1016, 867, 3990, 269, 11374, 519, 4436, 4434, 267, 918, 14442, 529, 333, 7288, 1185, 2799, 1010, 1297, 540, 19666, 24984, 547, 8938, 676, 519, 1439, 540, 5147, 269, 2201, 476, 736, 4864, 267, 4083, 269, 30421, 28500, 6603, 519, 2011, 7615, 693, 570, 639, 990, 267, 5111, 476, 1839, 12919, 630, 1626, 5195, 264, 22236, 540, 17833, 778, 268, 3534, 5937, 517, 340, 593, 519, 7262, 4871, 540, 519, 5213, 267, 689, 1141, 519, 30421, 28500, 13234, 538, 519, 8396, 1858, 540, 853, 2718, 2784, 269, 674, 2391, 689, 713, 2011, 7615, 267, 918, 14442, 1231, 7288, 781, 1297, 540, 19666, 24984, 2799, 547, 476, 4029, 676, 1439, 540, 4864, 563, 1103, 5181, 476, 3707, 273, 267, 4083, 269, 30421, 28500, 729, 10288, 883, 519, 11135, 540, 519, 24272, 30510, 267, 5885, 8136, 6828, 3162, 593, 519, 4395, 936, 519, 24272, 30510, 269, 11534, 3151, 621, 729, 519, 476, 275, 628, 543, 476, 276, 628, 5794, 14022, 625, 540, 519, 4414, 5794, 10414, 269, 634, 30421, 28500, 6603, 606, 2011, 7615, 3957, 717, 976, 19816, 752, 578, 6390, 4092, 5087, 5991, 677, 8603, 540, 20787, 323, 758, 593, 519, 570, 699, 330, 593, 476, 277, 5181, 269, 2201, 476, 1839, 5147, 476, 3707, 273, 267, 519, 16065, 601, 330, 777, 527, 7564, 333, 540, 476, 275, 269, 16065, 601, 267, 744, 828, 548, 583, 333, 656, 31661, 1817, 333, 267, 1010, 3659, 689, 8585, 572, 7921, 267, 1185, 1044, 13676, 538, 8396, 269, 4438, 1010, 598, 1998, 525, 12412, 267, 31661, 1817, 333, 729, 17303, 8719, 676, 2274, 583, 333, 656, 9546, 12047, 541, 12054, 601, 6390, 945, 729, 7166, 538, 2962, 593, 476, 2641, 4864, 269, 16710, 729, 1287, 2016, 547, 2274, 583, 333, 656, 32572, 2274, 545, 615, 945, 729, 849, 7166, 538, 2962, 269, 769, 12343, 267, 918, 14442, 1231, 7288, 729, 11843, 267, 2921, 4971, 540, 476, 275, 269, 16065, 601, 689, 476, 1015, 547, 476, 1789, 5181, 950, 31661, 1817, 333, 8120, 269, 4438, 1010, 26022, 609, 476, 275, 269, 16065, 601, 267, 918, 14442, 1231, 7288, 1185, 547, 32548, 856, 540, 1010, 645, 325, 476, 11820, 717, 268, 273, 630, 310, 17064, 11133, 1067, 476, 13670, 4391, 1765, 16371, 1297, 264, 1813, 547, 2599, 5821, 593, 476, 1704, 5181, 269, 674, 18017, 538, 519, 3345, 24272, 30510, 3148, 538, 5181, 267, 918, 14442, 1231, 7288, 2799, 1010, 1297, 540, 19666, 24984, 547, 476, 5325, 563, 16729, 1010, 476, 2004, 628, 19666, 11802, 267, 918, 14442, 1231, 7288, 729, 13752, 519, 12968, 712, 717, 984, 2280, 540, 519, 13198, 1111, 342, 25377, 630, 292, 327, 1066, 335, 758, 531, 3541, 13198, 1111, 342, 25377, 264, 593, 476, 1724, 5181, 476, 3707, 273, 269, 2201, 476, 1839, 5239, 267, 1010, 645, 325, 476, 11820, 717, 268, 273, 630, 310, 17064, 11133, 1067, 476, 15946, 8618, 264, 729, 16094, 8697, 538, 19666, 8396, 4611, 538, 513, 7142, 13941, 3186, 787, 21749, 519, 8484, 693, 519, 2011, 7615, 2282, 22307, 1846, 10798, 320, 267, 5111, 476, 1428, 12919, 630, 280, 269, 274, 5195, 264, 5087, 5991, 2180, 8054, 540, 1160, 16223, 19921, 5500, 269, 5565, 2395, 2663, 267, 646, 4607, 519, 4436, 9061, 538, 7108, 630, 5719, 7491, 2583, 918, 516, 15120, 538, 7108, 1040, 1635, 1439, 5239, 267, 918, 14442, 1231, 7288, 2799, 1010, 1297, 540, 19666, 24984, 547, 476, 6795, 269, 2201, 476, 3066, 5239, 476, 3707, 273, 267, 918, 14442, 1231, 7288, 543, 2274, 583, 333, 656, 23052, 6504, 21007, 996, 580, 689, 476, 274, 269, 16065, 601, 941, 13752, 519, 26427, 781, 9061, 540, 519, 11635, 9061, 630, 305, 7867, 330, 516, 15120, 964, 661, 529, 1716, 525, 918, 516, 340, 8240, 1916, 4407, 8168, 4229, 9250, 20491, 28800, 639, 267, 519, 5106, 799, 3366, 547, 519, 1958, 1844, 2211, 540, 31196, 4229, 538, 519, 25610, 540, 853, 2718, 2784, 267, 918, 14442, 1231, 7288, 729, 538, 513, 6413, 693, 2904, 330, 641, 543, 1185, 1010, 861, 2617, 658, 536, 2720, 320, 6569, 1739, 606, 5945, 13455, 547, 12597, 269, 1261, 729, 1287, 2095, 333, 547, 17389, 3913, 6308, 267, 1459, 6377, 6181, 333, 3821, 267, 585, 2417, 2126, 269, 2201, 476, 1321, 5412, 267, 646, 729, 1558, 676, 1010, 2104, 7385, 19129, 572, 19134, 2426, 538, 12670, 543, 519, 7008, 4797, 741, 22116, 547, 4858, 12584, 6199, 269, 769, 5130, 476, 3707, 274, 267, 918, 14442, 1231, 7288, 4121, 602, 646, 1185, 1044, 11843, 547, 8210, 326, 7564, 333, 345, 31258, 11219, 698, 323, 326, 745, 28500, 744, 560, 267, 513, 24045, 2866, 1770, 585, 25142, 21804, 30758, 585, 519, 8109, 13571, 267, 607, 606, 14357, 269, 2311, 519, 942, 267, 519, 1770, 729, 26017, 676, 744, 828, 560, 548, 583, 333, 656, 19555, 2335, 3400, 325, 543, 729, 1759, 693, 5487, 2274, 340, 5794, 7615, 2282, 5487, 18842, 3559, 548, 267, 5333, 563, 4002, 476, 1428, 4728, 267, 918, 14442, 1231, 7288, 729, 11843, 1394, 547, 808, 294, 476, 7367, 1141, 729, 1500, 16065, 601, 330, 777, 527, 7564, 333, 540, 476, 278, 269, 16065, 601, 269, 634, 16065, 601, 729, 1016, 867, 3990, 547, 8633, 269, 30421, 28500, 896, 519, 4971, 540, 11683, 13535, 6975, 639, 13153, 12844, 514, 269, 2311, 519, 942, 267, 8633, 269, 30421, 28500, 729, 1759, 693, 606, 2011, 7615, 2282, 23715, 577, 543, 729, 8165, 936, 519, 918, 889, 534, 8115, 3650, 269, 2201, 476, 272, 4989, 267, 8633, 269, 30421, 28500, 6410, 547, 570, 16120, 1141, 621, 729, 2212, 32483, 1229, 2394, 476, 273, 5147, 269, 918, 14442, 1231, 7288, 10645, 1010, 1101, 19666, 11802, 540, 519, 1032, 543, 476, 6858, 628, 538, 2698, 593, 476, 273, 2904, 950, 646, 8929, 1524, 513, 962, 752, 990 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9044, 24032, 1826, 540, 6784, 523, 3123, 13027, 28591, 4345, 610, 1634, 607, 18720, 8611, 269, 898, 568, 2356, 1459, 998, 519, 2011, 269, 4935, 267, 950, 11375, 2718, 519, 6219, 3123, 707, 1560, 547, 2746, 267, 543, 596, 949, 1995, 513, 6727, 9224, 30620, 610, 765, 324, 2763, 269, 6271, 1826, 540, 6784, 523, 568, 519, 21064, 3361, 676, 7452, 21746, 267, 4620, 4552, 267, 546, 6387, 267, 610, 9044, 269, 6250, 1043, 4191, 1331, 32125, 267, 23472, 267, 21422, 593, 4064, 267, 9224, 267, 5023, 267, 11563, 267, 543, 2960, 267, 2196, 5500, 610, 8631, 344, 9224, 267, 15677, 267, 15319, 11563, 267, 32105, 267, 610, 8373, 1159, 2454, 269, 4014, 13027, 28591, 4345, 568, 3592, 899, 2348, 513, 2834, 11522, 610, 4411, 267, 713, 5114, 593, 707, 1560, 15320, 538, 2474, 540, 9403, 269, 715, 29569, 18720, 8611, 568, 6094, 267, 2312, 267, 543, 1216, 344, 267, 1247, 513, 2834, 11522, 568, 23198, 269, 14627, 550, 32125, 568, 849, 18476, 563, 273, 269, 898, 16408, 543, 1216, 344, 4064, 454, 2005, 4221, 267, 25017, 267, 8781, 14815, 616, 519, 1455, 7298, 4191, 602, 596, 616, 7680, 3750, 14711, 269, 17832, 7970, 540, 971, 1331, 3542, 839, 689, 938, 1604, 899, 519, 6371, 543, 4054, 269, 8891, 546, 6387, 7452, 543, 8886, 1218, 899, 8673, 849, 3565, 547, 621, 563, 274, 269, 16164, 14711, 454, 305, 10449, 616, 7298, 4191, 540, 2960, 14711, 269, 898, 5526, 547, 723, 6553, 609, 2699, 15649, 610, 5634, 27894, 593, 707, 2960, 269, 898, 568, 28349, 267, 3006, 11213, 267, 543, 814, 513, 8781, 14815, 269, 634, 1426, 649, 3548, 610, 1022, 6784, 523, 602, 18953, 938, 2960, 3123, 713, 1826, 540, 5114, 269, 5871, 2960, 11959, 616, 8278, 22915, 269, 8278, 22915, 568, 513, 2783, 602, 2982, 5526, 899, 30919, 269, 589, 1114, 2186, 540, 2960, 14711, 568, 2353, 21544, 3346, 27150, 269, 898, 568, 513, 6727, 2186, 540, 16420, 3361, 676, 606, 6784, 523, 602, 20109, 707, 2960, 269, 898, 2306, 1413, 1085, 3315, 267, 543, 596, 949, 1995, 28338, 269, 670, 633, 568, 849, 513, 1455, 1826, 540, 13027, 5114, 269, 898, 5526, 10169, 2147, 547, 30919, 269, 2368, 2009, 2589, 540, 554, 633, 11959, 1331, 7411, 7244, 610, 513, 22224, 3068, 269, 898, 949, 849, 2408, 593, 1022, 851, 540, 707, 1560, 563, 5353, 3164, 2589, 540, 606, 13027, 5114, 454, 5353, 3164, 2589, 540, 11959, 616, 14603, 547, 835, 779, 1072, 543, 949, 2014, 2669, 538, 1175, 513, 1906, 3764, 269, 898, 568, 1572, 606, 20942, 9471, 269, 898, 568, 513, 4686, 2186, 540, 13027, 5114, 543, 5540, 707, 3003, 1560, 543, 3356, 1369, 3764, 269, 12580, 1331, 13165, 267, 14159, 1928, 267, 1928, 610, 9395, 1145, 538, 519, 9221, 267, 7411, 24948, 267, 13481, 267, 2295, 27621, 14591, 267, 8467, 267, 11926, 540, 519, 3068, 267, 4064, 267, 543, 11469, 267, 513, 6727, 6749, 540, 1973, 2604, 267, 7411, 7244, 267, 610, 17499, 1145, 269, 634, 2014, 540, 2348, 713, 2186, 540, 13027, 5114, 568, 7164, 543, 10039, 547, 4896, 563, 2691, 798, 519, 2589, 540, 14711, 1831, 7298, 888, 763, 5114, 540, 519, 23480, 547, 519, 1560, 568, 711, 2141, 519, 1482, 269, 2368, 1995, 513, 6727, 9594, 5114, 538, 1175, 513, 1906, 7643, 547, 513, 1906, 3764, 267, 1247, 1866, 666, 1995, 621, 1310, 513, 1906, 2395, 563, 1432, 616, 519, 5574, 585, 14711, 888, 2467, 616, 1114, 2081, 547, 8396, 11959, 269, 10613, 666, 4268, 4470, 593, 519, 10335, 267, 519, 1826, 540, 13027, 5114, 267, 543, 519, 1826, 540, 6784, 523, 602, 12153, 707, 1560, 269, 19724, 11959, 666, 581, 5701, 1283, 1227, 610, 936, 7308, 23716, 5711, 6646, 267, 2356, 4550, 7290, 8533, 267, 29416, 8803, 6950, 267, 610, 1232, 784, 652, 1218, 563, 12901, 328, 7290, 8533, 568, 513, 2186, 540, 3075, 602, 7161, 1277, 26952, 543, 568, 513, 1634, 14711, 2126, 269, 898, 2337, 3247, 5634, 14711, 2589, 269, 898, 568, 606, 936, 519, 4831, 6646, 547, 2061, 18720, 8611, 267, 11255, 1826, 540, 11959, 267, 543, 1426, 11959, 269, 14640, 7290, 8533, 568, 849, 2139, 538, 10001, 24409, 563, 13356, 784, 652, 656, 568, 513, 1826, 540, 14711, 2126, 267, 2523, 585, 513, 28077, 9224, 269, 898, 666, 581, 538, 21447, 267, 15559, 267, 610, 17725, 838, 7590, 267, 543, 930, 616, 2139, 936, 519, 4831, 269, 898, 695, 337, 3855, 519, 1973, 8043, 543, 8031, 602, 568, 11926, 3361, 676, 519, 14711, 269, 1717, 267, 1232, 784, 652, 1218, 666, 1406, 948, 609, 519, 21422, 543, 32125, 540, 707, 9224, 563, 21675, 585, 2960, 11959, 666, 581, 538, 519, 1106, 540, 22521, 522, 842, 906, 602, 2270, 29416, 8803, 6950, 269, 595, 20294, 8803, 1355, 3568, 28335, 602, 666, 948, 2569, 519, 11926, 543, 21422, 563, 306, 614, 6950, 610, 849, 1634, 607, 29416, 8803, 6950, 948, 2569, 519, 6553, 543, 11926, 689, 519, 14711, 269, 9521, 519, 824, 5061, 602, 596, 666, 1491, 835, 942, 547, 14867, 519, 2589, 267, 28720, 513, 2834, 6981, 540, 28335, 568, 2556, 547, 4309, 922, 2407, 2640, 267, 1256, 950, 596, 798, 711, 1995, 519, 14711, 563, 3412, 22861, 8839, 568, 513, 2186, 540, 2126, 602, 25242, 519, 1268, 779, 10892, 547, 519, 12153, 540, 6784, 523, 269, 634, 13310, 540, 713, 2186, 540, 3797, 568, 585, 1346, 1034, 2693, 547, 7985, 513, 7928, 13027, 5114, 563, 1692, 547, 2061, 14711, 888, 32575, 707, 12153, 2337, 2061, 13027, 6547, 269, 16164, 533, 4459, 4255, 616, 519, 1655, 2081, 547, 3313, 799, 23480, 596, 1058, 2057, 269, 898, 3335, 3217, 827, 476, 736, 547, 476, 2412, 3764, 540, 519, 5650, 1210, 513, 561, 4545, 564, 13549, 269, 898, 568, 513, 7646, 13549, 533, 4459, 532, 267, 543, 621, 779, 711, 11213, 267, 543, 9444, 786, 596, 18053, 269, 589, 6749, 540, 1142, 1455, 23480, 786, 581, 2322, 593, 707, 2960, 547, 1449, 922, 5114, 269, 3245, 972, 267, 596, 949, 5469, 7298, 4191, 610, 9039, 693, 782, 269, 1717, 267, 930, 2164, 616, 711, 18476, 1369, 513, 1906, 3764, 543, 949, 1491, 513, 1906, 2395, 563, 30789, 513, 2973, 1604, 666, 948, 2061, 13027, 6547, 3361, 676, 7452, 21746, 543, 28633, 269, 18227, 707, 1753, 3819, 543, 1134, 5887, 23624, 568, 849, 1776, 1259, 547, 2569, 4598, 547, 1808, 23480, 269, 1879, 7446, 1018, 1426, 596, 1058, 1491, 267, 1118, 2386, 547, 1224, 519, 5820, 6003, 593, 707, 6718, 547, 2057, 10438, 4376, 602, 814, 513, 5057, 596, 616, 13027, 547, 563, 2252, 596, 917, 1141, 596, 616, 13027, 547, 267, 9319, 1346, 23480, 610, 2921, 606, 5711, 6646, 1354, 519, 4397, 4598, 666, 948, 14867, 2417, 2589, 689, 4947, 563, 24433, 4653, 8416, 8419, 267, 835, 540, 519, 2101, 3377, 5121, 267, 12286, 5981, 328, 16065, 867, 267, 513, 8419, 21717, 945, 5747, 689, 513, 2582, 1426, 6784, 523, 779, 4616, 269, 2701, 729, 13027, 547, 30637, 269, 769, 1200, 2013, 267, 4189, 513, 24113, 25202, 23739, 799, 1352, 1185, 19451, 607, 513, 10217, 1673, 760, 23739, 3361, 1200, 6727, 2669, 269, 2701, 3323, 547, 1745, 519, 32688, 538, 1200, 5023, 267, 543, 1200, 2783, 6385, 14016, 730, 269, 2701, 729, 4547, 547, 519, 6413, 543, 3177, 609, 6646, 282, 2705, 267, 519, 13027, 5114, 729, 1932, 4049, 543, 3361, 1200, 547, 3247, 7244, 1369, 476, 3445, 3764, 563, 20694, 328, 16065, 867, 779, 2013, 568, 6169, 602, 13027, 6547, 12582, 1406, 581, 3144, 21066, 269, 5516, 995, 13390, 1081, 776, 3800, 1058, 581, 16913, 543, 9619, 9935, 269, 31173, 513, 4387, 568, 707, 1655, 4781, 547, 948, 609, 1022, 13027, 4145, 3079, 540, 1582, 2173, 14037, 908, 269, 4014, 972, 616, 936, 7308, 23716, 6527, 267, 972, 616, 1880, 14711, 5574, 11311, 16887, 585, 1142, 1808, 1826, 269, 2913, 13673, 307, 14711, 543, 18980, 16758, 948, 596, 269, 0, 291, 322, 26682, 1656, 645, 2660, 625, 21584, 454, 17572, 8745, 281, 546, 322, 6191, 543, 9075, 1547, 32502, 454, 268, 1548, 568, 513, 9823, 10724, 2433, 14716, 1299, 4706, 11554, 454, 268, 546, 322, 5179, 6007, 454, 268, 546, 322, 6191, 4070, 7824, 10507, 2464, 4955, 24652, 512, 761, 340, 2784, 7702, 454, 268, 11272, 5179, 454, 1432, 568, 513, 9823, 10724, 2433, 14716, 1299, 4706, 11554, 454, 2791, 666, 1118, 519, 476, 277, 309, 9823, 5179, 2196, 585, 1175, 513, 2110, 1247, 1354, 621, 11912, 1055, 676, 3294, 1310, 513, 1247, 607, 621, 786, 2119, 547, 2149, 621, 689, 3441, 1813, 547, 936, 14179, 5653, 607, 519, 3761, 20489, 519, 5665, 6453, 3403, 2039, 799, 568, 3335, 476, 274, 309, 910, 476, 277, 309, 563, 1607, 1797, 602, 9823, 2560, 1879, 621, 2501, 547, 4358, 543, 15725, 3432, 267, 1490, 19813, 9823, 16546, 723, 513, 1434, 2773, 269, 7994, 606, 6221, 610, 7121, 547, 1265, 519, 1808, 2472, 596, 991, 269, 589, 19319, 540, 519, 9823, 5179, 568, 519, 2497, 269, 17957, 267, 952, 519, 5179, 568, 15951, 693, 476, 272, 269, 1358, 941, 20749, 28336, 267, 1317, 891, 16546, 941, 10599, 787, 13324, 543, 9075, 2560, 1452, 12897, 798, 711, 4558, 1022, 2123, 1344, 269, 589, 6034, 7351, 9823, 5179, 568, 513, 5179, 602, 7140, 1648, 689, 513, 1463, 1699, 543, 7140, 713, 883, 7344, 1648, 563, 3719, 1904, 532, 856, 540, 930, 540, 891, 12897, 949, 723, 606, 1198, 593, 707, 19855, 1995, 269, 7994, 513, 5826, 1863, 543, 634, 20358, 12588, 568, 2178, 543, 519, 13590, 13779, 568, 1507, 269, 1284, 3513, 8263, 596, 2811, 21453, 609, 713, 267, 855, 596, 666, 1904, 13050, 952, 596, 6999, 563, 17098, 28982, 16921, 10950, 547, 1007, 3381, 1215, 547, 1118, 654, 4193, 3684, 907, 15316, 2694, 540, 519, 8773, 786, 3247, 2324, 693, 1114, 2053, 476, 273, 269, 769, 9759, 519, 17120, 15387, 519, 6007, 6453, 3586, 543, 669, 3591, 519, 6007, 1699, 267, 1247, 538, 2490, 14299, 4771, 519, 5179, 6453, 543, 4509, 3586, 519, 5179, 1699, 269, 1677, 1832, 519, 23301, 15914, 267, 519, 5179, 814, 513, 862, 583, 1807, 563, 2252, 596, 1491, 513, 6024, 2707, 540, 9823, 5201, 267, 971, 607, 513, 6007, 267, 543, 1921, 10647, 12904, 689, 519, 2318, 543, 2942, 18635, 540, 519, 6007, 547, 606, 5122, 3926, 971, 607, 513, 1769, 15941, 267, 596, 723, 4646, 606, 3167, 5547, 269, 634, 6007, 267, 15941, 543, 6467, 3330, 513, 8755, 2775, 1106, 513, 9823, 5547, 1103, 824, 1913, 267, 519, 5201, 8928, 538, 513, 8520, 689, 835, 1439, 540, 519, 6007, 610, 2707, 540, 5201, 547, 519, 824, 1439, 538, 513, 5547, 563, 4322, 12897, 786, 581, 6740, 538, 707, 11422, 1152, 609, 707, 9844, 269, 26758, 585, 3156, 538, 799, 513, 1164, 17568, 6111, 568, 2877, 269, 634, 1101, 20749, 14323, 9823, 16546, 9411, 519, 2344, 563, 1607, 568, 1317, 519, 15378, 11887, 2436, 519, 5911, 568, 849, 5827, 540, 7829, 519, 1379, 10006, 269, 634, 23301, 3568, 16509, 2842, 902, 602, 616, 13324, 676, 519, 9823, 1699, 543, 519, 588, 1807, 3568, 2901, 8628, 22197, 610, 13590, 2842, 902, 269, 901, 3123, 519, 23301, 547, 1376, 15914, 563, 8512, 338, 5903, 269, 2659, 5063, 9763, 3688, 543, 12286, 7840, 267, 8564, 519, 8257, 596, 1616, 547, 3406, 538, 267, 12313, 543, 824, 3877, 949, 4268, 1759, 593, 2450, 543, 2681, 269, 9823, 19698, 4043, 547, 581, 12863, 543, 1447, 7199, 269, 2368, 1806, 540, 3156, 538, 799, 9823, 16546, 616, 1869, 1031, 616, 281, 1703, 616, 2185, 2010, 540, 9823, 16546, 269, 589, 6034, 7351, 5179, 8255, 12347, 543, 519, 2039, 540, 3432, 7939, 568, 2647, 563, 5278, 7500, 693, 561, 2507, 634, 18165, 5860, 568, 5266, 1164, 585, 891, 16546, 269, 4787, 760, 547, 1543, 476, 8618, 8384, 563, 26501, 5179, 6007, 454, 24841, 23810, 1281, 711, 6895, 610, 2594, 891, 15737, 269, 634, 2757, 9823, 5179, 2115, 1079, 1699, 7727, 267, 835, 998, 519, 588, 1807, 2842, 902, 547, 1683, 519, 6419, 2361, 543, 519, 824, 998, 519, 23301, 2842, 902, 547, 2170, 609, 519, 6419, 2361, 547, 5352, 519, 30254, 3196, 269, 1703, 616, 1614, 2081, 540, 6104, 5109, 713, 267, 1142, 835, 4611, 538, 2189, 8984, 5179, 2773, 269, 5221, 789, 782, 946, 10138, 4232, 832, 267, 789, 782, 991, 513, 862, 583, 1807, 547, 3049, 519, 1699, 883, 519, 23301, 2842, 902, 269, 17726, 568, 6417, 676, 8795, 519, 23301, 6453, 543, 8754, 519, 23301, 1699, 267, 610, 676, 8795, 519, 6419, 13441, 538, 519, 2011, 7934, 676, 4657, 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 ]
[ 15888, 5018, 538, 713, 3381, 269, 20330, 306, 680, 520, 666, 1405, 7227, 547, 2119, 856, 1010, 6216, 1007, 16945, 1236, 919, 855, 950, 621, 6238, 547, 4764, 590, 680, 520, 781, 2386, 602, 519, 1554, 786, 581, 8297, 1441, 563, 1607, 568, 513, 2661, 2542, 540, 519, 1453, 781, 1433, 590, 680, 520, 519, 9697, 676, 7605, 8857, 2023, 269, 3883, 14271, 18462, 281, 4653, 568, 519, 1101, 1554, 540, 3032, 1153, 585, 590, 680, 520, 269, 1261, 568, 8401, 543, 1281, 711, 1616, 547, 979, 269, 2311, 1153, 267, 646, 16137, 827, 1018, 2306, 7314, 2027, 269, 24665, 730, 24153, 3883, 6176, 281, 9314, 5426, 630, 6579, 2567, 9437, 11083, 5308, 3883, 5426, 281, 476, 272, 269, 280, 8121, 18745, 281, 476, 271, 269, 276, 6103, 1377, 281, 18014, 268, 274, 6520, 1377, 281, 476, 275, 268, 279, 13673, 297, 302, 312, 24199, 21398, 10498, 286, 590, 680, 520, 519, 9697, 666, 581, 1336, 1934, 281, 5291, 2517, 600, 345, 333, 30419, 270, 273, 320, 276, 11246, 289, 326, 630, 3530, 2993, 622, 264, 6168, 7323, 962, 26619, 281, 7323, 962, 26619, 568, 513, 9251, 4116, 945, 1281, 2661, 13220, 540, 1453, 781, 2835, 269, 7490, 24049, 547, 519, 8756, 952, 596, 2972, 8384, 610, 6947, 547, 3214, 2835, 1373, 1224, 16965, 269, 3367, 2059, 609, 7323, 962, 26619, 610, 2972, 707, 5172, 3214, 1433, 1373, 1224, 16965, 256, 20591, 4596, 23615, 5990, 631, 8980, 2975, 5508, 30426, 5058, 10396, 5254, 12088, 2316, 10933, 23166, 631, 3041, 306, 962, 9331, 296, 256, 634, 2640, 540, 2542, 16965, 1331, 281, 910, 5678, 4886, 543, 17402, 10341, 281, 7335, 16965, 666, 948, 19920, 1451, 1007, 1913, 267, 4228, 741, 6863, 267, 7794, 18551, 1983, 267, 2542, 8223, 267, 2262, 543, 4484, 6284, 267, 543, 3895, 9423, 543, 9345, 269, 910, 11020, 4886, 281, 3194, 2982, 689, 4332, 547, 2085, 476, 276, 616, 519, 2565, 1296, 585, 1893, 1646, 269, 910, 589, 11146, 540, 7335, 281, 589, 2038, 4367, 547, 2835, 666, 4228, 9345, 543, 5876, 543, 948, 1106, 513, 15400, 2648, 540, 2542, 269, 910, 11310, 281, 7335, 666, 711, 1152, 581, 585, 12257, 267, 855, 849, 585, 1565, 1945, 1007, 543, 13181, 269, 12876, 2422, 2920, 910, 476, 1704, 772, 2529, 5861, 269, 19926, 476, 13040, 267, 3502, 5976, 9227, 519, 14074, 540, 6810, 476, 11793, 543, 476, 11793, 288, 267, 519, 4023, 946, 540, 513, 10677, 539, 960, 267, 1519, 971, 946, 676, 12093, 538, 12215, 610, 13093, 648, 322, 3581, 610, 676, 1022, 824, 1797, 9138, 676, 602, 3296, 267, 585, 5301, 971, 607, 9880, 267, 6085, 267, 3377, 8989, 267, 3450, 630, 10175, 2789, 12215, 585, 4928, 946, 1070, 14172, 267, 610, 1382, 267, 568, 711, 606, 26418, 618, 540, 10677, 563, 289, 19272, 9215, 590, 29558, 5357, 267, 9501, 299, 2969, 269, 589, 590, 680, 520, 519, 9697, 3883, 269, 18838, 543, 11609, 676, 7605, 8857, 2023, 269, 6182, 15967, 645, 269, 568, 10583, 547, 1224, 713, 19278, 1433, 547, 596, 1862, 2608, 290, 298, 2414, 903, 5141, 889, 543, 6182, 15967, 645, 269, 3895, 2542, 543, 5876, 585, 782, 1453, 269, 1284, 1039, 3312, 7591, 1673, 2129, 13144, 547, 938, 2835, 547, 5000, 5876, 607, 1134, 607, 2542, 693, 519, 1482, 942, 269, 1284, 3494, 602, 782, 1453, 1058, 723, 519, 4316, 547, 1224, 269, 23016, 547, 2835, 568, 606, 5140, 1259, 547, 2253, 707, 1126, 779, 2648, 585, 2835, 269, 898, 568, 835, 540, 519, 1034, 1271, 1983, 602, 513, 1126, 786, 2479, 4865, 269, 23016, 547, 519, 1433, 267, 3168, 693, 519, 1913, 543, 5961, 610, 1256, 1224, 2059, 568, 1360, 3872, 585, 707, 1126, 269, 7335, 609, 707, 1126, 2221, 267, 786, 711, 581, 16618, 14182, 269, 1452, 8823, 786, 2063, 513, 10715, 269, 1284, 2141, 2285, 5491, 547, 519, 8191, 267, 16503, 15249, 267, 543, 21629, 585, 741, 5863, 2835, 256, 1284, 9684, 873, 2221, 585, 4687, 873, 609, 721, 543, 2141, 1413, 4464, 547, 741, 1007, 2835, 269, 1284, 4126, 596, 2972, 938, 7044, 607, 1454, 607, 649, 2972, 1818, 873, 585, 596, 269, 1284, 1491, 13668, 282, 952, 596, 1131, 547, 5873, 513, 1978, 1433, 267, 1175, 1577, 721, 917, 269, 7490, 22244, 17395, 267, 24639, 7034, 31304, 23813, 267, 543, 15562, 22664, 938, 7044, 543, 8756, 269, 1284, 2648, 13334, 2828, 256, 18391, 4464, 547, 7487, 596, 1586, 269, 8729, 513, 631, 21135, 12778, 256, 5901, 2542, 267, 6182, 15967, 645, 269, 2878, 15648, 1344, 1262, 2353, 1570, 568, 11262, 676, 519, 15888, 5018, 538, 713, 3381, 269, 7335, 713, 1650, 9248, 729, 2944, 896, 476, 1704, 772, 2529, 5861, 269, 19926, 476, 13040, 3502, 5976, 9227, 519, 14074, 540, 6810, 476, 1704, 772, 2529, 5861, 269, 19926, 476, 11793, 543, 476, 1704, 772, 2529, 5861, 269, 19926, 476, 11793, 288, 267, 519, 4023, 946, 540, 513, 10677, 539, 960, 267, 1519, 971, 946, 676, 12093, 538, 12215, 610, 13093, 334, 5638, 610, 676, 1022, 824, 1797, 9138, 676, 602, 3296, 267, 585, 5301, 971, 607, 9880, 267, 6085, 267, 3377, 8989, 267, 3450, 630, 10175, 2789, 12215, 585, 4928, 946, 1070, 14172, 267, 610, 1382, 267, 568, 711, 606, 26418, 618, 540, 10677, 269, 769, 8159, 2436, 519, 946, 1500, 540, 513, 960, 538, 1022, 1880, 2013, 568, 513, 4023, 946, 519, 2188, 547, 581, 2808, 4927, 1331, 281, 519, 3483, 543, 1915, 540, 519, 946, 267, 1519, 2436, 971, 946, 568, 540, 513, 5010, 2470, 610, 568, 585, 18758, 3872, 5301, 282, 519, 2470, 540, 519, 10677, 539, 960, 282, 519, 2179, 543, 15186, 540, 519, 6712, 1031, 538, 6935, 547, 519, 10677, 539, 960, 607, 513, 2898, 282, 543, 519, 1198, 540, 519, 946, 2390, 519, 1761, 2344, 585, 610, 1871, 540, 519, 10677, 539, 960, 269, 634, 1249, 602, 513, 960, 568, 10002, 21242, 4927, 711, 3294, 3046, 513, 4466, 540, 4023, 946, 952, 971, 4466, 568, 1500, 2390, 7156, 540, 782, 519, 1657, 2188, 269, 3097, 271, 6145, 476, 271, 5213, 1405, 899, 0, 763, 2817, 21954, 19342, 8274, 630, 301, 17668, 264, 20888, 3377, 602, 4993, 779, 5794, 8249, 8274, 814, 14751, 539, 7686, 19342, 607, 519, 4492, 2707, 609, 519, 10545, 3327, 11640, 563, 763, 3377, 568, 3226, 26374, 2016, 519, 1560, 689, 799, 621, 3357, 269, 4993, 779, 22608, 2011, 2298, 4441, 616, 1100, 5728, 267, 543, 519, 5794, 8249, 8274, 814, 6170, 5722, 1296, 10442, 1585, 10173, 267, 1519, 7686, 19342, 267, 19386, 2861, 17088, 543, 17405, 267, 2067, 3154, 543, 8970, 19844, 267, 547, 3313, 519, 2179, 540, 3327, 8166, 6383, 676, 519, 2504, 540, 1142, 1826, 540, 4492, 269, 1306, 596, 666, 1294, 689, 519, 3349, 2630, 267, 519, 2504, 540, 13386, 2861, 7686, 19342, 4389, 5434, 676, 811, 982, 476, 2004, 2600, 267, 543, 7686, 19342, 689, 782, 3049, 560, 4169, 5916, 5732, 4389, 5434, 676, 607, 1454, 607, 476, 10037, 2600, 563, 11917, 16227, 267, 713, 568, 606, 11108, 15418, 585, 7686, 19342, 543, 922, 2702, 547, 2569, 3327, 5434, 267, 543, 519, 1977, 590, 1195, 9700, 5948, 630, 3008, 288, 264, 786, 946, 713, 1344, 547, 3136, 922, 7903, 547, 519, 7025, 10466, 10837, 630, 292, 5183, 264, 543, 13974, 2389, 24216, 5313, 8041, 547, 2099, 519, 1713, 5383, 540, 7686, 19342, 538, 519, 4182, 779, 1648, 4507, 267, 4098, 609, 519, 24997, 23556, 9208, 630, 305, 12396, 1916, 2108, 289, 1675, 19342, 568, 519, 1034, 4264, 4492, 593, 519, 4541, 2223, 1767, 5213, 8845, 267, 715, 17668, 8689, 540, 6940, 269, 968, 20181, 3327, 8925, 666, 849, 581, 1970, 1942, 8925, 950, 649, 946, 3309, 7727, 540, 7791, 2200, 269, 901, 4570, 919, 602, 4993, 779, 3327, 5786, 3853, 616, 3489, 762, 3034, 763, 4681, 16079, 1018, 519, 16501, 5462, 2947, 1296, 3516, 538, 9591, 519, 5313, 681, 12396, 269, 7201, 602, 1982, 267, 7686, 19342, 4018, 5809, 607, 606, 11628, 12713, 325, 3241, 267, 609, 519, 16501, 2079, 6029, 602, 621, 6971, 3327, 5434, 689, 476, 6872, 2600, 547, 476, 10436, 2600, 563, 2108, 30210, 779, 2079, 267, 799, 814, 1044, 24019, 676, 4830, 4081, 2689, 267, 2488, 6015, 602, 7686, 19342, 568, 267, 1510, 2243, 267, 513, 811, 4264, 4244, 585, 6283, 4492, 2223, 8845, 1767, 269, 968, 763, 5010, 1967, 540, 519, 3395, 7686, 19342, 2872, 5267, 3853, 547, 2417, 2569, 8511, 9362, 543, 771, 2897, 16865, 19386, 616, 3617, 543, 24276, 269, 2060, 513, 1445, 593, 3327, 5786, 543, 519, 3084, 3609, 547, 1489, 621, 267, 7686, 19342, 1223, 2569, 3327, 12998, 676, 476, 2412, 2929, 9748, 12422, 3034, 763, 9193, 3177, 585, 2693, 4492, 11444, 1331, 912, 8085, 16256, 630, 20598, 17088, 994, 347, 294, 553, 13238, 1475, 4200, 630, 25519, 27184, 294, 264, 575, 19072, 297, 2008, 18871, 1941, 6599, 12935, 1475, 3199, 269, 6021, 575, 19072, 297, 2008, 347, 15253, 5962, 7849, 13937, 1475, 8064, 269, 5379, 575, 19072, 297, 2008, 5825, 539, 18181, 13813, 454, 4322, 8464, 616, 4080, 538, 10101, 540, 3327, 8166, 6697, 829, 19251, 1690, 537, 548, 540, 4492, 269, 2353, 1055, 519, 3049, 560, 4169, 7396, 585, 7686, 19342, 616, 1031, 538, 1713, 12531, 269, 13379, 532, 891, 8464, 676, 519, 2179, 540, 1142, 3049, 18450, 1031, 25422, 538, 476, 1001, 275, 267, 5267, 602, 519, 3328, 7686, 19342, 538, 519, 2344, 814, 513, 3327, 8515, 540, 476, 4343, 269, 275, 575, 19072, 297, 11607, 15130, 621, 519, 9803, 3327, 8515, 540, 1022, 7121, 540, 5277, 610, 31529, 4492, 267, 543, 1818, 621, 8013, 609, 3167, 6472, 607, 513, 3327, 17846, 4640, 563, 289, 1675, 19342, 568, 3013, 779, 11628, 12713, 325, 3241, 543, 568, 1500, 689, 11593, 2139, 267, 7791, 2200, 269, 21277, 1027, 538, 5176, 1169, 1533, 538, 519, 4182, 267, 519, 7686, 19342, 2872, 7028, 930, 476, 7830, 267, 1822, 6009, 689, 5032, 547, 5032, 269, 0, 299, 2074, 13050, 269, 4210, 9662, 3657, 1284, 2273, 454, 1432, 798, 789, 798, 888, 4131, 803, 581, 9237, 267, 594, 666, 1406, 2490, 593, 610, 1055, 519, 8279, 5265, 538, 1250, 4055, 563, 2005, 729, 14605, 2966, 282, 594, 2141, 7340, 799, 1259, 568, 593, 2443, 585, 5601, 779, 19160, 2443, 972, 568, 1100, 6003, 2901, 269, 634, 1152, 23319, 602, 594, 723, 616, 1152, 968, 18661, 546, 2459, 527, 256, 594, 6557, 9420, 17373, 950, 519, 1769, 568, 593, 543, 968, 293, 1262, 330, 256, 8206, 8206, 3733, 23179, 17373, 950, 621, 779, 1932, 4158, 563, 10190, 594, 1558, 519, 17176, 1586, 1369, 938, 30892, 3334, 269, 12312, 540, 513, 6467, 2336, 16391, 1944, 519, 3190, 454, 2691, 596, 1628, 513, 1374, 1062, 609, 707, 2319, 267, 851, 540, 519, 1184, 568, 547, 10891, 519, 3190, 269, 681, 996, 9722, 875, 1978, 30892, 3334, 960, 282, 4208, 1705, 649, 1256, 946, 621, 693, 519, 1101, 1747, 286, 4107, 540, 519, 4267, 941, 711, 9670, 912, 2171, 4280, 1472, 454, 18658, 798, 596, 1589, 6467, 2389, 17344, 956, 616, 286, 1548, 798, 789, 798, 18313, 2108, 18933, 9662, 616, 2638, 7901, 525, 585, 5985, 813, 269, 6744, 7901, 568, 865, 1357, 476, 273, 269, 271, 267, 596, 917, 3034, 14881, 8072, 332, 711, 2386, 267, 594, 512, 11474, 713, 267, 543, 1919, 4755, 3034, 2108, 13425, 7901, 525, 616, 585, 3858, 532, 267, 1318, 286, 6145, 2048, 26926, 495, 20804, 594, 3858, 685, 2507, 1247, 17176, 616, 585, 267, 19334, 1945, 3034, 2171, 2007, 1472, 930, 811, 563, 18933, 9662, 281, 589, 6467, 568, 513, 3308, 547, 24327, 1063, 1079, 20102, 12600, 2829, 2443, 593, 543, 1055, 563, 18933, 9662, 1450, 513, 5542, 547, 581, 5828, 593, 610, 1055, 563, 18933, 3558, 281, 2201, 270, 4752, 17176, 547, 24327, 519, 1533, 540, 513, 2582, 5468, 4781, 269, 634, 4781, 602, 519, 6467, 8060, 267, 607, 1134, 607, 519, 1533, 621, 779, 538, 267, 1058, 581, 1500, 2312, 689, 519, 7222, 538, 1467, 6003, 269, 4210, 9662, 1491, 593, 519, 1482, 3308, 3601, 540, 519, 5925, 7735, 563, 8253, 865, 5363, 269, 1924, 2507, 1879, 798, 649, 946, 873, 888, 2108, 18933, 9662, 616, 2638, 7901, 525, 585, 5985, 813, 892, 4992, 899, 513, 1434, 4661, 693, 1101, 267, 855, 649, 666, 1406, 723, 602, 950, 2679, 513, 1374, 1062, 269, 4208, 2348, 1079, 18374, 1482, 8060, 888, 292, 3916, 3729, 835, 610, 723, 513, 1360, 1434, 2601, 547, 1832, 1079, 563, 18933, 9662, 616, 711, 1934, 547, 5372, 2638, 7901, 525, 454, 27077, 357, 2991, 513, 12699 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1665, 1575, 568, 547, 946, 12408, 269, 1280, 1383, 267, 513, 10685, 518, 949, 6718, 513, 6049, 609, 513, 6700, 10685, 3902, 540, 8096, 1789, 2475, 667, 3326, 1513, 630, 4785, 291, 1040, 1403, 519, 10685, 518, 6976, 8096, 1428, 20430, 585, 519, 6221, 267, 646, 666, 10208, 1010, 1942, 689, 519, 6700, 10685, 3902, 547, 2097, 909, 609, 519, 1665, 1575, 2179, 269, 769, 713, 2013, 267, 519, 1665, 1575, 2179, 1131, 581, 8096, 1428, 20430, 780, 1103, 930, 2665, 267, 513, 10685, 518, 949, 849, 1616, 547, 917, 1018, 519, 6871, 540, 519, 1665, 1575, 568, 269, 1677, 5173, 1665, 1575, 538, 971, 513, 2013, 267, 646, 1223, 7941, 519, 2179, 646, 6976, 676, 519, 6700, 10685, 3902, 269, 1403, 1010, 1942, 538, 3246, 513, 3028, 729, 8096, 1839, 20430, 267, 585, 1383, 267, 543, 519, 9513, 3902, 729, 8096, 2412, 20430, 267, 646, 666, 2253, 1010, 9273, 676, 18946, 8096, 1839, 20430, 689, 8096, 2412, 20430, 547, 4137, 856, 519, 2557, 540, 2333, 267, 538, 713, 2013, 8096, 1428, 20430, 269, 3973, 646, 1131, 7941, 519, 2557, 540, 2333, 267, 8096, 1428, 20430, 267, 676, 519, 3312, 2179, 543, 2097, 909, 609, 476, 271, 269, 277, 267, 610, 476, 2568, 2600, 267, 799, 1131, 581, 1010, 6871, 1665, 1575, 780, 15919, 267, 513, 1268, 949, 6999, 547, 4019, 513, 6871, 547, 519, 3312, 1942, 540, 606, 6221, 610, 3028, 543, 1287, 5173, 1665, 1575, 269, 1280, 1383, 267, 513, 1268, 949, 1376, 609, 606, 6221, 602, 3790, 8096, 276, 20430, 547, 6718, 610, 3132, 543, 6999, 547, 1665, 621, 909, 676, 476, 1839, 2600, 269, 1677, 5173, 713, 2179, 267, 646, 1131, 1689, 519, 2600, 547, 513, 8918, 676, 3001, 519, 8918, 1747, 1079, 4025, 547, 519, 2451, 282, 713, 2242, 519, 1297, 689, 476, 1839, 547, 476, 271, 269, 1839, 269, 3973, 267, 646, 1131, 9062, 713, 1297, 676, 519, 8096, 276, 20430, 621, 1942, 547, 4444, 610, 3132, 519, 6221, 610, 3028, 282, 519, 2626, 1131, 581, 8096, 272, 269, 1839, 20430, 269, 634, 8096, 272, 269, 1839, 20430, 568, 519, 1665, 1575, 593, 519, 6221, 267, 543, 519, 1268, 1223, 1039, 519, 8096, 272, 269, 1839, 20430, 1665, 1575, 547, 519, 1942, 547, 2097, 909, 609, 519, 2698, 9042, 3902, 540, 8096, 277, 269, 1839, 20430, 269, 0, 258, 4164, 13011, 3830, 585, 17242, 1899, 692, 1892, 4239, 476, 736, 628, 476, 1220, 280, 267, 476, 6860, 281, 1789, 6751, 454, 323, 520, 14065, 272, 454, 12407, 13011, 3830, 585, 17242, 1899, 454, 337, 3287, 6661, 263, 324, 28682, 7562, 3287, 1070, 552, 28682, 267, 552, 28682, 6523, 3287, 11723, 22772, 519, 4164, 13011, 4834, 585, 519, 17242, 1899, 693, 1535, 284, 271, 543, 14039, 270, 273, 454, 4754, 2576, 948, 803, 609, 713, 454, 1892, 4239, 476, 736, 628, 476, 1220, 280, 267, 476, 4962, 281, 5325, 6751, 454, 32621, 1384, 23192, 17397, 676, 3611, 14065, 272, 454, 337, 3287, 6661, 263, 324, 28682, 7562, 3287, 1070, 552, 28682, 267, 552, 28682, 6523, 3287, 11723, 22772, 519, 4164, 13011, 4834, 585, 519, 17242, 1899, 693, 1535, 284, 271, 543, 14039, 270, 273, 454, 4754, 2576, 948, 803, 609, 713, 692, 12441, 596, 1533, 519, 3830, 4010, 607, 621, 729, 2016, 286, 901, 2854, 538, 606, 8966, 1259, 269, 15394, 519, 4182, 585, 606, 3830, 899, 713, 568, 1384, 7445, 6234, 678, 6025, 6661, 283, 552, 3867, 1206, 514, 6025, 264, 9574, 324, 317, 339, 267, 324, 3867, 339, 6523, 6025, 14587, 3436, 6911, 3602, 512, 568, 519, 9936, 269, 634, 4164, 13011, 4834, 585, 519, 7455, 616, 1384, 7445, 6234, 1535, 815, 324, 3867, 1206, 514, 6025, 264, 10592, 7445, 6234, 586, 284, 324, 317, 339, 6911, 7445, 6234, 1990, 815, 324, 3867, 339, 6523, 6025, 264, 10592, 3383, 594, 1491, 621, 602, 596, 616, 3843, 547, 1265, 519, 3830, 540, 519, 17242, 1899, 7222, 547, 519, 6724, 512, 284, 271, 267, 543, 1287, 519, 17242, 693, 4399, 6234, 512, 7807, 2765, 3189, 7032, 2410, 273, 4151, 2953, 2496, 763, 3334, 540, 519, 12045, 540, 513, 6152, 1599, 616, 519, 546, 969, 328, 2510, 540, 519, 3334, 780, 7445, 6234, 678, 21948, 339, 6661, 283, 1422, 2765, 346, 11459, 2410, 19049, 9574, 315, 2765, 346, 11276, 2410, 19049, 9574, 315, 2765, 18097, 345, 2410, 19049, 348, 3436, 6911, 3086, 1175, 11690, 538, 519, 2016, 6724, 269, 0, 258, 12096, 476, 1708, 272, 4161, 2055, 654, 278, 2875, 6155, 665, 343, 910, 26914, 476, 8099, 276, 13718, 1892, 476, 276, 692, 17345, 15552, 3096, 3642, 547, 3801, 547, 8850, 1349, 1543, 689, 6054, 547, 2627, 547, 596, 543, 1866, 865, 596, 666, 1353, 1732, 267, 552, 3052, 1421, 538, 3406, 2164, 267, 547, 10802, 2703, 338, 267, 543, 811, 269, 901, 12744, 2982, 2985, 476, 272, 910, 476, 276, 856, 540, 476, 276, 3817, 780, 300, 3722, 476, 8099, 276, 13878, 295, 294, 312, 300, 293, 17920, 1708, 272, 10432, 476, 10170, 18502, 269, 1548, 1281, 519, 29297, 1774, 540, 513, 3113, 2099, 286, 27026, 16840, 454, 1321, 269, 11693, 602, 325, 3287, 6661, 272, 266, 273, 3287, 273, 264, 320, 264, 1432, 616, 519, 29297, 4925, 274, 454, 321, 264, 17004, 875, 596, 1131, 1265, 519, 23792, 1055, 3287, 264, 663, 2328, 713, 6389, 538, 8884, 10035, 8987, 5622, 267, 273, 264, 308, 263, 273, 267, 5622, 264, 322, 264, 8340, 519, 2039, 1055, 3287, 994, 323, 264, 1432, 616, 519, 1535, 25435, 338, 1055, 3287, 994, 324, 264, 1432, 616, 519, 586, 25435, 338, 1055, 3287, 994, 325, 264, 10576, 513, 2953, 1305, 540, 14759, 602, 1131, 1205, 596, 519, 3113, 540, 713, 3830, 269, 670, 842, 1107, 9767, 949, 991, 547, 1376, 609, 513, 2385, 1599, 602, 596, 616, 5266, 14542, 609, 269, 630, 2791, 798, 711, 17647, 547, 3113, 519, 14759, 1107, 3807, 1592, 873, 994, 273, 326, 264, 2422, 1018, 596, 1336, 689, 513, 264, 547, 535, 264, 547, 3113, 325, 454, 17484, 540, 12744, 269, 21763, 547, 1224, 782, 476, 276, 3817, 2496, 17345, 15552, 4759, 547, 1569, 713, 3561, 692, 28350, 454, 293, 718, 454, 23178, 454, 301, 12458, 454, 30475, 454, 21918, 527, 540, 513, 1599, 267, 1306, 2096, 696, 5328, 7455, 692, 4462, 8971, 1540, 1257, 12744, 281, 535, 3287, 3738, 630, 271, 267, 382, 378, 264, 535, 264, 10576, 513, 2953, 1305, 540, 14759, 602, 1131, 1205, 596, 519, 3113, 540, 713, 3830, 269, 670, 842, 1107, 596, 949, 991, 547, 1376, 609, 513, 2385, 1599, 602, 596, 616, 5266, 14542, 609, 269, 630, 2791, 798, 711, 723, 547, 3113, 519, 14759, 1107, 3807, 1592, 873, 264, 476, 273, 326, 264, 2422, 1018, 596, 1336, 689, 513, 264, 547, 535, 264, 547, 3113, 535, 630, 1535, 3738, 284, 476, 272, 1341, 476, 273, 630, 343, 6567, 476, 273, 3738, 476, 3451, 269, 9717, 519, 1739, 1599, 535, 630, 1535, 3738, 815, 343, 6567, 476, 273, 1535, 513, 264, 1548, 616, 519, 29297, 4925, 286, 295, 528, 714, 7267, 29297, 1774, 586, 284, 272, 26432, 29297, 1774, 1535, 284, 271, 536, 264, 8058, 875, 596, 1131, 1265, 519, 23792, 540, 535, 630, 1535, 3738, 663, 2328, 713, 6389, 538, 8884, 10035, 476, 274, 11196, 5622, 267, 271, 264, 308, 263, 271, 267, 5622, 1070, 346, 343, 347, 343, 3112, 3160, 476, 271, 348, 524, 264, 1432, 568, 519, 2039, 540, 535, 263, 1535, 3738, 7790, 11196, 5622, 267, 272, 264, 308, 263, 272, 267, 5622, 1070, 346, 344, 347, 344, 3112, 3160, 476, 272, 348, 546, 264, 8340, 519, 1535, 25435, 338, 540, 535, 630, 1535, 3738, 263, 273, 267, 271, 264, 552, 264, 8340, 519, 586, 25435, 540, 535, 630, 1535, 3738, 14085, 325, 264, 20877, 519, 1599, 535, 263, 1535, 3738, 815, 1535, 6629, 273, 1535, 275, 2483, 8698, 9509, 11657 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3375, 6194, 711, 1152, 538, 9956, 779, 634, 3004, 3022, 344, 540, 19151, 543, 19201, 855, 849, 538, 2413, 2053, 269, 769, 519, 1404, 267, 19151, 543, 19201, 616, 1152, 1762, 14038, 799, 7506, 593, 1818, 1126, 880, 543, 1100, 268, 2288, 339, 3664, 269, 901, 568, 3254, 769, 2920, 476, 273, 1141, 19151, 568, 20158, 1317, 14472, 13824, 267, 945, 646, 1185, 21334, 539, 1010, 2648, 547, 814, 15653, 1864, 267, 543, 31439, 547, 16154, 519, 7167, 340, 2280, 779, 5428, 269, 898, 779, 711, 2394, 1010, 2828, 30330, 583, 1470, 543, 5484, 14179, 1470, 3196, 1864, 547, 979, 950, 646, 23933, 1010, 4064, 2390, 19201, 543, 23131, 547, 7340, 827, 1010, 2648, 543, 2887, 538, 2648, 609, 19201, 3079, 269, 4634, 1498, 789, 723, 711, 9275, 811, 982, 476, 1911, 271, 1913, 543, 616, 9277, 547, 581, 14763, 267, 789, 6430, 547, 19533, 538, 5728, 269, 5502, 540, 3206, 540, 519, 4539, 543, 8380, 454, 2710, 596, 3494, 538, 2648, 693, 1101, 8289, 286, 19151, 543, 19201, 1705, 543, 621, 1291, 547, 1312, 540, 741, 7972, 269, 19151, 5156, 602, 646, 729, 538, 2648, 267, 513, 4743, 646, 1185, 2760, 5963, 5433, 1354, 269, 1306, 513, 1762, 7141, 267, 596, 1223, 2503, 602, 646, 1131, 1118, 930, 19450, 3664, 267, 855, 4986, 899, 1018, 646, 1705, 547, 581, 609, 945, 646, 5156, 547, 581, 1010, 3020, 2648, 269, 19151, 8053, 6558, 1412, 338, 14603, 16950, 729, 1010, 791, 6160, 4369, 1813, 547, 9991, 538, 2648, 543, 19533, 19201, 267, 4742, 513, 15294, 19907, 267, 543, 2921, 1010, 1378, 1272, 4586, 12041, 853, 20672, 30038, 26856, 2899, 5206, 267, 968, 19808, 14601, 3527, 3366, 547, 8373, 267, 543, 8373, 1223, 723, 18473, 4539, 1848, 769, 519, 1404, 19151, 543, 19201, 267, 2854, 676, 5261, 9956, 267, 1142, 3197, 723, 513, 16950, 602, 616, 1031, 1996, 741, 6381, 269, 15020, 10355, 1281, 513, 1915, 538, 713, 1650, 2219, 827, 519, 4539, 540, 741, 3527, 1354, 789, 1705, 1945, 267, 4611, 538, 14042, 4093, 269, 6182, 5896, 267, 519, 1292, 3197, 540, 519, 1650, 723, 513, 18476, 8467, 602, 8309, 547, 741, 13249, 7475, 269, 19151, 543, 19201, 1312, 723, 513, 14603, 16950, 540, 1373, 1932, 791, 14601, 950, 621, 2501, 547, 2648, 543, 3664, 563, 13356, 2888, 602, 649, 1118, 666, 723, 930, 2101, 4539, 543, 2014, 4655, 538, 938, 4948, 1272, 267, 855, 3664, 1500, 538, 5339, 2984, 1223, 723, 2101, 4539, 543, 4655, 607, 1134, 269, 19151, 543, 19201, 676, 9956, 568, 513, 1390, 1383, 540, 875, 554, 7360, 3664, 666, 1860, 519, 3197, 543, 519, 1650, 4729, 269, 8422, 3664, 602, 12936, 519, 4729, 540, 519, 1650, 616, 1500, 676, 19151, 543, 19201, 267, 945, 6430, 547, 1205, 9310, 538, 5728, 282, 29443, 541, 19846, 1338, 267, 945, 2306, 513, 1494, 542, 602, 15920, 19201, 883, 513, 2620, 3207, 282, 543, 19151, 267, 945, 19754, 5128, 1317, 540, 513, 7745, 2295, 563, 31714, 1450, 2933, 547, 581, 5116, 538, 27337, 881, 3871, 269, 1358, 666, 581, 6766, 676, 519, 2486, 540, 824, 2043, 855, 267, 621, 7475, 909, 1373, 741, 1378, 3375, 2436, 547, 979, 998, 609, 621, 610, 711, 269, 634, 3375, 2501, 1524, 547, 741, 1378, 5837, 22315, 547, 3391, 873, 547, 1118, 519, 1318, 3375, 269, 1717, 267, 9561, 513, 1434, 5837, 22315, 1223, 1291, 606, 1367, 1524, 519, 4636, 2619, 269, 5261, 9956, 7710, 519, 2856, 540, 4057, 3664, 3056, 547, 513, 31774, 538, 1010, 13357, 267, 19151, 543, 19201, 267, 607, 19201, 4220, 519, 3106, 543, 2648, 540, 1200, 1920, 676, 8380, 9887, 538, 2352, 3871, 269, 19201, 9060, 4162, 538, 19151, 602, 24633, 1200, 693, 519, 4098, 269, 4014, 267, 1352, 6104, 8460, 547, 3382, 891, 20924, 799, 635, 325, 2176, 1200, 602, 1352, 568, 1818, 519, 1318, 454, 2414, 1082, 3988, 267, 519, 1034, 11791, 2984, 616, 519, 3283, 602, 1491, 1747, 1510, 28194, 267, 543, 20729, 531, 269, 2755, 891, 616, 1312, 13249, 3584, 267, 930, 4773, 540, 3332, 616, 9735, 267, 1247, 1869, 2156, 2286, 3584, 602, 949, 581, 5739, 547, 519, 3197, 2933, 269, 769, 519, 3209, 645, 1652, 2725, 267, 8299, 9874, 676, 23052, 6504, 334, 1323, 11535, 267, 519, 1404, 589, 631, 1749, 28026, 779, 13957, 14134, 676, 5261, 9956, 267, 543, 519, 3209, 5055, 634, 5600, 593, 631, 24546, 9335, 676, 9995, 571, 595, 529, 1676, 657, 267, 782, 2270, 1806, 540, 519, 891, 1808, 3584, 269, 1452, 4773, 540, 3332, 782, 2671, 1455, 4798, 540, 1920, 267, 9059, 267, 543, 20729, 531, 269, 589, 1455, 6249, 538, 519, 2984, 568, 267, 950, 1004, 616, 711, 538, 1852, 540, 3871, 543, 1919, 602, 4755, 538, 741, 2729, 267, 789, 666, 2746, 538, 2081, 711, 6093, 540, 741, 1915, 267, 543, 713, 666, 2014, 873, 547, 1118, 3983, 3664, 563, 299, 3554, 744, 685, 293, 5055, 615, 1399, 779, 10853, 5708, 1650, 267, 968, 763, 10965, 23803, 892, 3217, 1747, 538, 25212, 267, 8581, 269, 634, 1292, 1915, 568, 513, 2879, 23803, 8165, 513, 3540, 2112, 269, 1261, 568, 593, 519, 17044, 2427, 945, 568, 8165, 1996, 519, 5131, 6465, 619, 269, 1261, 1281, 711, 2322, 513, 2603, 540, 2219, 883, 1010, 3527, 543, 621, 7475, 909, 28428, 1864, 1945, 2462, 538, 519, 1439, 269, 1635, 1210, 20451, 543, 6609, 744, 685, 293, 5055, 615, 1399, 2982, 602, 2962, 1510, 2219, 666, 1291, 547, 3978, 29854, 269, 0, 15307, 13846, 1224, 942, 281, 476, 273, 268, 274, 3764, 454, 1607, 2895, 1882, 3377, 1650, 568, 2139, 1152, 585, 707, 2123, 267, 1875, 10687, 14293, 946, 269, 6176, 538, 519, 1650, 949, 581, 22573, 610, 25436, 17660, 676, 3606, 1344, 269, 7335, 610, 556, 2452, 532, 519, 1650, 538, 922, 2895, 1882, 1106, 1281, 711, 13822, 513, 14081, 566, 540, 519, 1650, 563, 10955, 14717, 919, 27561, 9202, 1032, 519, 2817, 11206, 6796, 1934, 538, 18096, 949, 6443, 538, 513, 3209, 4603, 267, 4152, 18951, 14742, 547, 4339, 11642, 269, 2368, 540, 519, 8484, 338, 666, 581, 5645, 538, 513, 30618, 267, 11200, 539, 267, 1287, 771, 6312, 3481, 1554, 610, 3781, 547, 22342, 593, 513, 3595, 563, 2691, 649, 1101, 4718, 5696, 662, 600, 8479, 2160, 8030, 11744, 891, 14742, 789, 941, 851, 540, 606, 5794, 10414, 1382, 1788, 269, 4982, 5792, 609, 12514, 267, 1519, 18342, 585, 3781, 4064, 267, 519, 12681, 268, 1652, 13492, 616, 3501, 585, 838, 3539, 593, 519, 10546, 610, 31743, 1524, 513, 7803, 269, 1809, 1631, 519, 11206, 6796, 568, 2469, 547, 1294, 952, 789, 4312, 3893, 519, 7181, 910, 5907, 7181, 602, 568, 910, 547, 8038, 936, 23967, 563, 763, 1101, 4603, 2501, 1985, 5614, 950, 513, 1906, 540, 519, 3677, 14742, 8038, 936, 513, 6417, 6633, 538, 4993, 269, 1403, 713, 4603, 18327, 856, 267, 519, 4104, 3028, 568, 4440, 3168, 693, 513, 2898, 18239, 540, 891, 1507, 8484, 910, 689, 3677, 3283, 602, 2161, 1223, 8038, 693, 2362, 31556, 547, 4130, 3283, 596, 1223, 7485, 856, 540, 513, 30618, 910, 602, 1131, 8038, 998, 519, 2295, 540, 519, 8673, 693, 1970, 31556, 267, 1318, 936, 519, 3595, 4799, 305, 22929, 2142, 731, 2982, 721, 513, 16517, 3109, 2203, 269, 634, 12209, 267, 519, 2766, 267, 519, 4412, 910, 3388, 4652, 9529, 4712, 585, 8184, 269, 15760, 308, 786, 1449, 930, 540, 891, 14742, 936, 18096, 23967, 1985, 1032, 563, 305, 22929, 2142, 731, 267, 15760, 308, 15379, 7177, 281, 834, 8624, 937, 930, 1239, 267, 1265, 856, 1018, 519, 1239, 5654, 899, 689, 519, 20987, 267, 543, 1287, 649, 3513, 581, 3384, 5075, 2861, 5583, 1949, 865, 519, 6174, 666, 2965, 8038, 3294, 689, 2780, 5075, 4799, 32056, 4459, 3751, 8725, 543, 24138, 4591, 339, 4951, 721, 513, 2780, 11191, 540, 519, 2104, 267, 711, 835, 855, 1896, 14742, 10760, 676, 2933, 267, 4963, 743, 532, 519, 3595, 267, 14379, 609, 1142, 824, 267, 609, 12971, 1480, 6304, 269, 24028, 11462, 267, 11837, 267, 1483, 6066, 5464, 4534, 5732, 267, 891, 2370, 11608, 1223, 798, 621, 782, 269, 0, 272, 681, 826, 667, 1575, 534, 331, 19281, 454, 272, 681, 826, 667, 1575, 534, 331, 19281, 454, 20458, 1689, 568, 12018, 2551, 6384, 540, 1896, 11641, 5521, 2249, 3056, 547, 519, 7269, 540, 741, 2039, 269, 16186, 7269, 666, 581, 9141, 849, 676, 1480, 24975, 29371, 267, 609, 519, 10661, 540, 1007, 5521, 5095, 538, 5078, 2127, 2484, 689, 741, 5065, 2039, 269, 769, 713, 1184, 267, 4205, 1063, 7786, 543, 741, 2067, 14763, 666, 1689, 1813, 547, 1007, 2825, 2175, 610, 547, 1114, 2557, 540, 24980, 269, 769, 2487, 1296, 267, 12566, 1184, 542, 776, 26615, 630, 13048, 300, 1070, 835, 540, 519, 1292, 4104, 10860, 538, 519, 11335, 3148, 267, 568, 9750, 922, 2039, 23163, 676, 1312, 2362, 5162, 1611, 5210, 543, 23139, 1480, 24975, 6283, 269, 3371, 649, 13890, 519, 4719, 2497, 540, 623, 15014, 2059, 922, 2039, 538, 5333, 1210, 476, 2537, 31442, 520, 749, 2572, 1327, 328, 267, 1915, 1944, 519, 1292, 3270, 540, 7269, 540, 713, 2249, 543, 7114, 519, 2707, 5095, 540, 1007, 10125, 538, 519, 7269, 2127, 269, 1452, 1239, 666, 581, 6964, 585, 3384, 7084, 2645, 547, 16220, 21656, 623, 15014, 585, 513, 2656, 8446, 540, 741, 5169, 1858, 269, 7053, 267, 649, 2919, 513, 1007, 1305, 540, 31442, 520, 22972, 2215, 619, 585, 519, 623, 15014, 11285, 4212, 24733, 553, 527, 1355, 538, 1931, 547, 3950, 922, 24980, 1739, 922, 3984, 538, 519, 9750, 2127, 269, 634, 1970, 4719, 13260, 1336, 267, 711, 2047, 3730, 585, 9477, 8934, 527, 1355, 7269, 267, 8774, 1769, 593, 519, 1909, 540, 9190, 1439, 657, 2096, 321, 542, 1206, 538, 519, 2551, 4719, 2497, 540, 713, 2249, 563, 1607, 2027, 3390, 540, 7788, 1023, 540, 11206, 3163, 735, 3796, 4557, 4574, 593, 968, 24841, 5250, 543, 3529, 9542, 547, 2916, 5608, 799, 941, 4843, 693, 968, 8867, 2289, 1756, 892, 4139, 10985, 538, 2904, 476, 1001, 279, 538, 2107, 331, 2946, 753, 630, 293, 8896, 1040, 1452, 4574, 1459, 22423, 267, 8097, 543, 20592, 2090, 14236, 519, 3310, 540, 20296, 2242, 593, 3529, 29115, 689, 519, 5662, 547, 519, 2540, 267, 543, 689, 519, 1591, 547, 519, 5251, 563, 763, 1788, 9607, 513, 4909, 1966, 540, 4104, 5114, 9472, 547, 519, 2916, 1689, 543, 2810, 9830, 540, 8511, 9362, 585, 519, 18714, 8134, 540, 519, 3047, 269, 634, 1292, 3077, 568, 547, 3132, 513, 24794, 8826, 4879, 543, 513, 2110, 3856, 9472, 540, 5993, 3529, 268, 2590, 7607, 630, 572, 1783, 531, 1591, 2504, 264, 540, 519, 2101, 598, 11717, 2030, 2249, 538, 18714, 4104, 8134, 1472, 20195, 14901, 7142, 676, 2916, 543, 1875, 12641, 574, 1738, 2188, 269, 634, 2079, 568, 1759, 593, 606, 20308, 6176, 3760, 968, 17471, 10326, 7304, 532, 12618, 12472, 22532, 8416, 892, 630, 4178, 18192, 338, 24932, 333, 269, 745, 264, 543, 14449, 2139, 585, 519, 3864, 543, 7489, 27765, 549, 1815, 1670, 1449, 1790, 8432, 326, 976, 269, 1677, 3035, 519, 3804, 540, 519, 1788, 267, 649, 1449, 1881, 519, 966, 12298, 990, 27691, 2532, 514, 2203, 543, 922, 4164, 564, 10961, 566, 267, 607, 513, 851, 540, 519, 3384, 8668, 1062, 267, 1759, 593, 1463, 1279, 3856, 2361, 7422, 585, 519, 3529, 268, 2590, 4609, 538, 2342, 543, 5607, 269, 1306, 513, 1267, 540, 519, 31776, 2185, 4574, 941, 3370, 538, 1164, 12936, 4959, 296, 13746, 269, 5047, 267, 513, 2027, 3390, 540, 519, 4959, 296, 4760, 968, 2304, 11594, 540, 11206, 3163, 892, 568, 5423, 563, 23208, 10786, 7559, 6394, 1472, 519, 1158, 616, 3407, 2707, 540, 1239, 585, 4974, 2250, 2950, 540, 1165, 643, 648, 7103, 543, 9477, 741, 14778, 998, 519, 942, 269, 3371, 649, 8947, 519, 1158, 7887, 10786, 10740, 4015, 6740, 538, 519, 4053, 2946, 636, 2817, 546, 262, 9303, 334, 790, 7186, 331, 548, 630, 13640, 529, 267, 5333, 264, 538, 1931, 547, 2263, 2250, 570, 23158, 1922, 29623, 1439, 21301, 23838, 543, 741, 5095, 538, 519, 4591, 541, 8157, 543, 12172, 519, 7269, 1686, 540, 519, 18654, 6978, 2381, 518, 267, 24695, 961, 517, 800, 551, 518, 1615, 1731, 4512, 918, 636, 1092, 267, 476, 3422, 274, 630, 299, 788, 573, 30601, 281, 717, 2350, 650, 926, 13160, 1070, 606, 12362, 11641, 538, 2342, 14124, 561, 1307, 267, 570, 23158, 24094, 269, 630, 22416, 341, 19687, 1916, 7628, 713, 31776, 594, 5340, 1896, 8511, 543, 8047, 6901, 267, 17935, 693, 12570, 519, 20239 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 22230, 22115, 324, 318, 10870, 601, 14833, 318, 303, 699, 4275, 10267, 326, 18372, 20221, 905, 3218, 807, 632, 623, 1716, 3711, 1075, 334, 900, 476, 280, 632, 2261, 9809, 334, 632, 476, 14631, 276, 267, 24064, 3873, 1035, 558, 3966, 327, 5964, 13005, 15273, 615, 267, 5213, 320, 2826, 525, 632, 19186, 340, 20960, 4302, 267, 798, 524, 26044, 5964, 7603, 20110, 333, 24982, 632, 19186, 340, 20960, 4302, 267, 552, 620, 550, 3385, 2385, 11253, 267, 620, 2946, 332, 632, 1340, 6403, 2993, 553, 798, 14926, 324, 632, 17577, 269, 15550, 5069, 17895, 541, 513, 4990, 324, 1100, 964, 523, 14179, 341, 2939, 334, 13005, 29436, 785, 14243, 560, 6319, 666, 822, 773, 4275, 563, 295, 4348, 338, 540, 10897, 17671, 15185, 630, 628, 748, 1343, 540, 1004, 264, 12306, 538, 3474, 5451, 267, 3057, 534, 327, 14244, 543, 595, 792, 5451, 630, 22139, 543, 29036, 8478, 1070, 4358, 17091, 538, 1346, 4025, 267, 538, 519, 2038, 2473, 23997, 2540, 912, 10674, 2517, 696, 25769, 3820, 28293, 270, 9303, 260, 290, 274, 1862, 27005, 6812, 274, 268, 13932, 272, 269, 3066, 5327, 1372, 476, 14065, 278, 6446, 513, 3935, 21289, 23843, 798, 1609, 5964, 1313, 11252, 27622, 798, 3057, 534, 327, 14244, 267, 3474, 5451, 552, 595, 792, 5451, 694, 17646, 3873, 538, 545, 328, 5964, 635, 513, 476, 5866, 632, 1298, 523, 553, 632, 8732, 9820, 513, 9809, 20187, 657, 267, 1003, 320, 535, 32256, 20221, 535, 727, 552, 20221, 3765, 2946, 6319, 563, 1607, 568, 729, 513, 4207, 5856, 267, 519, 14082, 20908, 3726, 3131, 334, 4856, 337, 17845, 320, 267, 5206, 538, 476, 14444, 272, 689, 590, 14244, 6754, 334, 912, 24867, 320, 684, 599, 267, 3184, 30619, 4353, 267, 590, 14244, 6754, 334, 538, 519, 2473, 9654, 2540, 1040, 1492, 10736, 5065, 7819, 2021, 616, 3631, 711, 1152, 547, 741, 14077, 267, 855, 849, 547, 519, 1082, 14082, 2021, 1934, 454, 288, 1906, 824, 1806, 912, 12901, 517, 1470, 966, 1794, 2871, 26433, 3357, 547, 25385, 6403, 761, 334, 16114, 334, 538, 519, 2473, 9654, 2540, 609, 1010, 7385, 12540, 541, 5866, 4856, 16699, 269, 1358, 12306, 538, 519, 2244, 543, 2451, 18939, 563, 294, 2117, 807, 30954, 1132, 3357, 609, 1010, 7385, 1772, 8475, 20653, 14833, 630, 18485, 689, 744, 1636, 334, 264, 547, 2473, 9654, 2540, 590, 14244, 6754, 334, 269, 7085, 687, 540, 8478, 2103, 616, 741, 18939, 267, 1519, 8885, 563, 291, 4040, 657, 13198, 6403, 338, 267, 522, 2961, 341, 4141, 10098, 267, 513, 14082, 3936, 2401, 540, 2473, 9654, 590, 14244, 6754, 334, 630, 10193, 606, 22660, 540, 9553, 264, 3893, 9310, 609, 645, 3757, 8619, 16410, 1537, 563, 8245, 14244, 808, 5282, 630, 5228, 966, 10005, 798, 3687, 14833, 264, 3357, 609, 1010, 7385, 3397, 739, 514, 3873, 30954, 1132, 630, 297, 528, 2471, 20653, 327, 657, 538, 2637, 7002, 690, 807, 6754, 626, 3570, 1040, 1358, 2451, 18939, 563, 12901, 517, 1470, 632, 3057, 714, 3893, 9310, 609, 1772, 8475, 20653, 3873, 630, 21545, 1872, 12956, 4807, 264, 538, 9625, 14444, 271, 538, 21586, 632, 13191, 10098, 630, 5408, 28039, 532, 656, 345, 267, 642, 269, 476, 273, 267, 2985, 476, 31982, 1040, 1358, 2451, 18939, 563, 25857, 686, 4302, 22513, 663, 525, 3893, 9310, 609, 4165, 8205, 6154, 790, 630, 5228, 17577, 264, 538, 2038, 21586, 632, 13191, 10098, 630, 5408, 28039, 532, 656, 345, 267, 642, 269, 476, 273, 267, 533, 269, 476, 3374, 1040, 1358, 2451, 18939, 563, 289, 5306, 1794, 541, 632, 10011, 549, 3893, 9310, 609, 12756, 30954, 1132, 267, 1352, 729, 689, 28988, 2548, 267, 538, 2038, 21586, 632, 13191, 10098, 630, 2457, 476, 31696, 267, 642, 269, 476, 272, 267, 28039, 532, 656, 345, 1040, 1358, 2451, 18939, 563, 288, 1906, 2021, 945, 12306, 590, 14244, 6754, 334, 538, 519, 2473, 9654, 2540, 7396, 676, 19248, 684, 599, 538, 834, 306, 14244, 6754, 334, 538, 519, 2473, 9654, 2540, 13426, 293, 601, 760, 320, 30647, 25366, 267, 7385, 540, 11835, 14244, 798, 623, 2784, 334, 3248, 3674, 8475, 632, 717, 6759, 525, 267, 9310, 609, 4165, 20110, 333, 1470, 14943, 657, 334, 3248, 2304, 3534, 1160, 523, 9809, 320, 267, 7385, 540, 31883, 19248, 13196, 3248, 300, 7559, 10011, 534, 14833, 267, 689, 22757, 5336, 528, 267, 9310, 609, 21293, 632, 1325, 29166, 978, 320, 3248, 306, 15120, 3570, 30954, 1132, 267, 11937, 540, 519, 14210, 6759, 26369, 543, 1488, 345, 14244, 3885, 3248, 293, 601, 760, 320, 717, 6210, 267, 835, 540, 519, 1101, 14082, 2021, 547, 2097, 547, 590, 14244, 6754, 334, 267, 7385, 540, 28741, 4302, 13005, 595, 684, 3873, 3248, 25508, 3121, 6682, 778, 334, 630, 5228, 966, 10005, 11850, 8310, 12995, 676, 1225, 1575, 4275, 282, 476, 6860, 268, 6349, 268, 1001, 273, 693, 476, 1015, 281, 6187, 6751, 563, 17682, 517, 810, 632, 19186, 340, 20960, 4302, 267, 4440, 519, 6574, 14082, 2489, 267, 9415, 1010, 7980, 547, 19533, 519, 17137, 538, 3127, 1310, 646, 22482, 3619, 320, 543, 5689, 3147, 320, 267, 585, 1383, 269, 901, 568, 519, 5169, 540, 519, 26701, 21628, 338, 563, 763, 3057, 638, 529, 540, 25048, 4472, 849, 9415, 3765, 322, 3394, 566, 538, 519, 10125, 609, 519, 589, 1067, 785, 2103, 269, 769, 519, 1876, 602, 2813, 519, 834, 291, 790, 339, 6759, 26369, 13121, 3331, 491, 526, 3930, 257, 646, 1767, 865, 912, 6434, 9980, 516, 15259, 803, 3930, 267, 544, 9820, 605, 1602, 322, 542, 15606, 16948, 694, 598, 572, 7666, 597, 512, 14244, 4075, 340, 657, 334, 267, 3331, 374, 339, 559, 267, 552, 521, 27053, 535, 574, 267, 562, 523, 21065, 20527, 544, 9820, 552, 325, 545, 1794, 267, 6446, 605, 2017, 541, 11188, 3842, 632, 8732, 3512, 657, 1609, 320, 1271, 6403, 1087, 9874, 796, 328, 14244, 269, 19994, 334, 6446, 973, 558, 754, 334, 513, 657, 667, 790, 1729, 637, 267, 6446, 513, 680, 1172, 655, 19804, 538, 947, 14397, 24140, 573, 5964, 900, 4863, 541, 267, 552, 1596, 1478, 10652, 320, 647, 320, 851, 324, 15259, 1319, 3234, 20110, 333, 3930, 1303, 516, 15259, 645, 3757, 6523, 267, 552, 15259, 3331, 491, 526, 3930, 267, 16948, 6446, 11188, 803, 1470, 3186, 324, 29345, 2784, 334, 642, 27713, 1529, 334, 694, 1035, 23042, 632, 24773, 597, 2698, 618, 324, 6864, 11253, 5212, 3930, 6403, 1087, 9874, 1253, 514, 23843, 267, 6446, 607, 14255, 9809, 383, 369, 525, 544, 9820, 1135, 573, 553, 798, 24634, 334, 705, 7631, 541, 600, 5033, 2181, 267, 635, 334, 538, 574, 15282, 635, 636, 798, 694, 340, 2357, 323, 1228, 10098, 267, 552, 4909, 2374, 25279, 322, 2939, 334, 563, 8660, 3474, 320, 4863, 541, 15259, 546, 527, 657, 1319, 3234, 20110, 333, 3930, 267, 900, 2181, 3258, 14244, 15259, 667, 790, 1729, 637, 547, 6767, 513, 552, 325, 545, 5451, 25556, 798, 694, 340, 1990, 601, 334, 900, 7479, 611, 597, 513, 547, 323, 553, 607, 623, 612, 334, 553, 645, 3757, 322, 553, 267, 6446, 4217, 790, 332, 13439, 647, 553, 623, 990, 10394, 9809, 383, 369, 525, 267, 6446, 15259, 3331, 491, 526, 3930, 21915, 334, 562, 14244, 521, 14244, 632, 17071, 4018, 573, 1228, 513, 759, 701, 17010, 1642, 553, 267, 6446, 14064, 18372, 5498, 2672, 320, 20727, 652, 1228, 632, 15259, 3110, 4106, 541, 16948, 547, 323, 553, 6864, 601, 553, 4378, 6652, 19579, 525, 20221, 338, 4271, 320, 9809, 383, 369, 525, 13121, 694, 639, 2022, 657, 267, 598, 572, 336, 6686, 25366, 618, 324, 535, 545, 600, 2845, 8681, 334, 15259, 8544, 21573, 929, 2753, 2946, 326, 3930, 607, 623, 612, 334, 553, 6446, 8732, 732, 332, 635, 15259, 546, 527, 657, 3331, 511, 526, 3930, 282, 964, 614, 8681, 334, 5498, 11188, 1609, 324, 1110, 334, 607, 11830, 2772, 6403, 1087, 574, 553, 4337, 2088, 9809, 383, 369, 525, 13121, 5651, 611, 2803, 3186, 324, 6480, 5964, 267, 6446, 5033, 2181, 8088, 541, 600, 11188, 1102, 5889, 8926, 5033, 601, 327, 656, 525, 1319, 3234, 20110, 333, 3930, 563, 3445, 16549, 635, 334, 607, 1364, 17845, 333, 857, 553, 267, 513, 25475, 6494, 334, 5770, 27885, 10652, 657, 546, 527, 1868, 13005, 16846, 14244, 267, 552, 13005, 929, 644, 17845, 333, 25556, 267, 1050, 345, 655, 544, 3726, 553, 1654, 8240, 27634, 733, 337, 5451, 686, 657, 267, 552, 533, 1712, 647, 1027, 518, 267, 6446, 267, 15333, 6403, 323, 657, 1609, 525, 1319, 3234, 20110, 333, 3930, 267, 632, 2102, 699, 522, 642, 27713, 1529, 334, 900, 964, 2181, 15605, 267, 900, 1167, 6759, 6113, 807, 513, 8544, 2742, 796, 328, 14244, 282, 642, 785, 334, 11188, 1609, 324, 1110, 334, 17464, 845, 541, 5498, 900, 6293, 657, 632, 8297, 6403, 3534, 15259, 8544, 15879, 803, 3930, 6446, 632, 591, 14244, 31026, 345, 597, 16948, 513, 6677, 6759, 6113, 807, 282, 973, 558, 754, 334, 544, 3726, 334, 513, 657, 667, 790, 1729, 637, 267, 6446, 3284, 523, 553, 2062, 332, 1217, 15606, 632, 6446, 3473, 30864, 623, 612, 334, 553, 267, 6494, 334, 8732, 27885, 964, 2181, 345, 600, 15259, 694, 639, 2261, 573, 657, 267, 522, 340, 647, 553, 15273, 12742, 267, 11188, 6677, 528, 17243, 562, 7062, 513, 4018, 573, 1228, 632, 3331, 491, 526, 3930, 267, 522, 1300, 6559, 20446, 513, 334, 5041, 11456, 798, 6480, 5964, 267, 16948, 6446, 694, 329, 600, 5728, 3512, 324, 5641, 580, 15606, 267, 635, 334, 535, 30291, 611, 2803, 546, 553, 21258, 553, 1167, 6759, 6113, 5362, 267, 552, 32677, 611, 2803, 13005, 533, 1794, 267, 552, 13005, 796, 328, 14244, 533, 14243, 321, 997, 320, 563, 11011, 20121, 324, 1110, 334, 1035, 629, 541, 14244, 632, 2440, 2658, 15259, 3331, 491, 526, 3930, 635, 547, 6767, 513, 20209, 17845, 333, 25556, 267, 6446, 3934, 32115, 607, 647, 553, 533, 612, 334, 553, 282, 6446, 562, 14244, 964, 2181, 345, 32115, 607, 647, 553, 620, 1014, 9809, 553, 267, 552, 522, 694, 340, 2385, 525, 1723, 282, 6446, 8088, 32115, 267, 635, 334, 929, 6759, 3064, 553, 607, 647, 553, 3351, 573, 3547, 282, 552, 6446, 964, 324, 329, 32115, 267, 10260, 658, 267, 552, 5609, 1356, 3512, 324, 11122, 541, 635, 552, 956, 6864, 11253, 973, 6403, 2889, 8619, 796, 328, 14244, 267, 900, 6446, 694, 535, 597, 2742, 267, 552, 2374, 25279, 576, 513, 521, 6759, 331, 5866, 21688, 545, 573, 1228, 546, 553, 3115, 14243, 321, 997, 553, 563, 303, 558, 4472, 849, 11074, 519, 2259, 540, 1412, 3916, 701, 5633, 632, 31025, 826, 3299, 1818, 621, 7543, 547, 917, 1851, 519, 14082, 945, 1185, 6014, 11937, 543, 945, 4769, 1405, 269, 6969, 602, 267, 15151, 621, 729, 1360, 2653, 547, 13182, 952, 835, 1185, 891, 11937, 269, 2991, 1010, 3800, 267, 621, 2968, 7543, 563, 4517, 267, 3823, 5981, 1372, 29209, 781, 2022, 594, 20926, 4505, 267, 14082, 13896, 1869, 3357, 1310, 519, 3355, 5951, 269, 2353, 519, 14082, 1973, 538, 8478, 3085, 1405, 2097, 689, 1175, 11835, 14244, 10548, 531, 14833, 543, 2663, 519, 11082, 540, 519, 476, 866, 628, 543, 476, 736, 628, 2540, 269, 634, 5444, 30688, 540, 5449, 7022, 5192, 592, 1470, 966, 1173, 553, 267, 585, 1383, 267, 2982, 1152, 14082, 689, 10897, 2803, 476, 277, 5481, 4505, 267, 538, 519, 476, 10204, 271, 338, 912, 2467, 616, 6266, 540, 824, 1806, 538, 602, 5816, 563, 6097, 547, 7194, 8478, 814, 476, 3393, 260, 16543, 630, 3445, 2929, 264, 855, 538, 4641, 1472, 476, 1839, 260, 268, 1789, 260, 616, 540, 6986, 24067, 22693, 269, 898, 781, 513, 2370, 3787, 899, 519, 7330, 855, 609, 1114, 21159, 267, 519, 7330, 540, 1576, 814, 811, 16543, 630, 12671, 476, 4792, 260, 1916, 2467, 616, 4867, 476, 272, 3755, 19855, 713, 8142, 269, 630, 271, 2818, 543, 476, 272, 14538, 264, 0, 763, 17865, 1744, 6033, 568, 606, 4603, 6539, 585, 1762, 1053, 543, 15908, 1235, 602, 1450, 596, 547, 1491, 1852, 540, 513, 6211, 18215, 3533, 543, 3274, 563, 763, 15331, 5161, 540, 1614, 2694, 281, 634, 27620, 267, 634, 5589, 1800, 12229, 543, 513, 1863, 26761, 563, 763, 17865, 1744, 6033, 3926, 568, 513, 26215, 730, 8254, 602, 2636, 2653, 7041, 543, 14764, 540, 513, 15483, 25209, 18215, 896, 513, 8254, 563, 763, 5589, 1800, 3301, 2636, 596, 547, 3077, 519, 15483, 25209, 18215, 10549, 538, 519, 2661, 8254, 3049, 538, 1931, 547, 3713, 519, 5086, 540, 519, 18215, 3842, 3239, 4393, 269, 20305 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1996, 11016, 815, 476, 278, 692, 11693, 281, 476, 272, 4137, 815, 476, 273, 15620, 692, 11997, 267, 11192, 1297, 540, 15620, 4421, 593, 11016, 815, 476, 273, 1535, 476, 278, 815, 476, 1691, 692, 23870, 264, 1109, 306, 1495, 599, 2982, 519, 5021, 1297, 540, 4137, 540, 15620, 267, 1775, 4318, 269, 476, 280, 692, 11997, 267, 2201, 10732, 267, 5021, 15620, 941, 4421, 780, 763, 3561, 4578, 30047, 4147, 476, 277, 11872, 13174, 3848, 476, 275, 568, 513, 851, 540, 519, 4147, 476, 277, 6092, 9119, 630, 13043, 338, 264, 4147, 476, 277, 563, 5472, 596, 991, 540, 4147, 476, 277, 693, 713, 3095, 281, 4147, 476, 277, 692, 1012, 9119, 630, 13043, 338, 264, 4147, 476, 277, 692, 11463, 7044, 347, 31003, 2703, 338, 347, 7918, 4255, 692, 1012, 14174, 17988, 593, 4578, 30047, 4147, 476, 277, 11872, 13174, 3848, 476, 275, 692, 476, 272, 269, 1215, 666, 1239, 581, 6592, 538, 519, 2796, 540, 1239, 7829, 888, 9172, 269, 4578, 666, 581, 6592, 538, 519, 2796, 540, 1239, 7829, 676, 18928, 10655, 1344, 543, 12180, 621, 538, 513, 11295, 3898, 269, 901, 949, 4125, 1210, 7515, 267, 12125, 267, 11708, 267, 610, 824, 3308, 11226, 547, 2099, 519, 1239, 8308, 563, 476, 273, 269, 1548, 568, 519, 4644, 540, 12180, 1239, 538, 1239, 7829, 888, 9172, 269, 5029, 2358, 1239, 538, 1239, 7829, 568, 2629, 607, 621, 2337, 538, 1818, 2631, 540, 519, 1344, 6394, 269, 1635, 25786, 1239, 538, 513, 9836, 6073, 267, 3270, 267, 3466, 267, 543, 3347, 1369, 519, 1239, 666, 581, 3362, 4857, 543, 21845, 563, 476, 274, 269, 1215, 666, 513, 3182, 1748, 581, 1031, 538, 1239, 7829, 888, 9172, 269, 589, 3182, 1748, 568, 513, 3308, 6041, 540, 1239, 1210, 5961, 610, 6698, 547, 6655, 1344, 269, 898, 666, 581, 1031, 538, 1239, 7829, 547, 1118, 519, 1239, 811, 2502, 543, 4443, 547, 1174, 267, 2523, 585, 3308, 6267, 563, 476, 275, 269, 1215, 666, 835, 4612, 513, 3182, 1748, 3927, 888, 9172, 269, 1677, 4612, 513, 3182, 1748, 3927, 267, 835, 1590, 2628, 3007, 547, 519, 1883, 610, 10828, 3177, 267, 799, 6920, 519, 1871, 1142, 4605, 610, 3090, 4564, 269, 1635, 9236, 519, 7306, 610, 9424, 540, 519, 5961, 267, 835, 666, 2721, 8753, 543, 4030, 689, 519, 1239, 4843, 563, 476, 276, 269, 4208, 568, 621, 1271, 547, 8308, 2594, 543, 4612, 1239, 538, 1239, 7829, 888, 9172, 269, 6452, 584, 2299, 10916, 543, 16208, 1239, 538, 1239, 7829, 568, 1898, 547, 2327, 602, 5483, 3664, 666, 581, 1500, 1759, 593, 6325, 1344, 269, 898, 2337, 538, 1620, 3466, 267, 3270, 267, 543, 3347, 1369, 519, 1239, 267, 3056, 547, 1732, 2079, 543, 8753, 780, 1012, 9119, 630, 13043, 338, 264, 4147, 476, 277, 692, 11463, 7044, 347, 31003, 2703, 338, 347, 7918, 4255, 692, 2162, 5455, 1985, 692, 10812, 20043, 585, 4147, 476, 277, 981, 692, 2162, 5440, 20043, 585, 4147, 476, 277, 692, 14294, 1575, 547, 1294, 707, 8464, 979, 909, 1369, 476, 278, 2395, 256, 6258, 1299, 6657, 609, 476, 1911, 271, 266, 17676, 11872, 267, 27678, 1299, 18873, 563, 1015, 300, 266, 1053, 1353, 593, 661, 706, 3725, 341, 454, 16665, 590, 792, 2583, 692, 10484, 10484, 10484, 10484, 10484, 10484, 10484, 10484, 10484, 10484, 10484, 10484, 10484, 10484, 10484, 10484, 10484, 10484, 10484, 10484, 10484, 282 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1635, 1210, 2241, 3652, 543, 3972, 532, 938, 26756, 267, 5863, 1919, 666, 4755, 269, 13772, 3318, 22407, 2228, 610, 7390, 2199, 2621, 547, 1294, 621, 538, 2962, 269, 2107, 1256, 1732, 2943, 267, 10544, 930, 14609, 625, 543, 6427, 707, 1360, 1378, 8941, 4904, 609, 17409, 543, 7772, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 19185, 1394, 547, 1413, 6619, 269, 898, 779, 938, 5729, 769, 5623, 476, 1708, 273, 269, 1306, 2141, 267, 938, 1592, 568, 796, 17213, 539, 543, 796, 745, 569, 269, 2913, 621, 1025, 7875, 563, 2026, 649, 4283, 476, 1708, 274, 267, 1934, 779, 513, 5619, 540, 5084, 779, 18596, 2686, 17008, 281, 3962, 13723, 3781, 593, 11184, 3780, 270, 311, 300, 308, 8756, 476, 3374, 267, 513, 1007, 12558, 540, 3807, 514, 717, 720, 779, 1279, 8573, 7342, 13985, 10740, 3220, 6064, 731, 8058, 269, 5272, 3791, 10732, 540, 519, 3923, 267, 938, 15571, 5131, 13985, 10740, 3220, 6064, 731, 14878, 18350, 4183, 13739, 269, 7348, 532, 281, 13985, 10740, 3220, 6064, 731, 16514, 8058, 282, 6947, 281, 13985, 10740, 3220, 6064, 731, 3690, 332, 3827, 267, 543, 519, 700, 1725, 807, 28500, 590, 32268, 267, 10023, 5159, 8720, 519, 8964, 602, 1500, 873, 269, 1656, 547, 948, 596, 1832, 3950, 540, 621, 782, 267, 938, 12353, 17121, 8364, 20394, 563, 288, 638, 10740, 3220, 6064, 731, 6818, 1317, 540, 519, 6612, 540, 922, 20334, 630, 16753, 811, 827, 873, 1934, 264, 543, 519, 1489, 540, 922, 21464, 4793, 516, 517, 2146, 267, 865, 2015, 26823, 3101, 707, 1489, 607, 649, 8258, 538, 519, 1007, 1032, 269, 8307, 519, 1434, 695, 527, 267, 593, 1189, 543, 16057, 563, 297, 27889, 26436, 1765, 300, 1180, 904, 693, 519, 2037, 7615, 9142, 281, 9509, 5191, 8184, 269, 631, 1180, 904, 693, 519, 2037, 7615, 9142, 568, 606, 16613, 569, 15982, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 16524, 6363, 768, 8555, 341, 257, 607, 851, 540, 834, 25807, 19489, 300, 5058, 8121, 4811, 1315, 8555, 341, 5314, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 4197, 11838, 543, 7756, 18467, 547, 28509, 898, 692, 8702, 267, 5664, 3427, 4841, 256, 5620, 596, 2479, 1185, 8373, 2519, 593, 707, 6780, 610, 9361, 1869, 1282, 1362, 286, 1411, 2811, 711, 4805, 256, 3509, 3214, 267, 6148, 1256, 930, 538, 707, 4928, 267, 1522, 723, 513, 2182, 942, 9878, 3007, 267, 9363, 5059, 267, 610, 9013, 741, 1648, 2157, 269, 901, 1223, 581, 1813, 547, 1945, 1572, 23206, 4347, 7228, 15214, 13808, 13081, 267, 4122, 1634, 607, 11838, 269, 2913, 781, 4685, 883, 1018, 11838, 568, 543, 875, 1004, 4383, 621, 2439, 1432, 568, 11838, 888, 2411, 692, 5331, 2348, 513, 2634, 602, 7575, 693, 2706, 3432, 782, 1554, 1279, 22924, 4992, 1187, 267, 1318, 286, 1809, 3006, 267, 950, 938, 12058, 616, 1932, 3742, 267, 789, 1265, 621, 4101, 547, 3500, 1524, 267, 1445, 593, 835, 3364, 267, 610, 3251, 9350, 269, 2334, 781, 513, 3787, 899, 1018, 4523, 609, 11838, 269, 5753, 8995, 609, 11838, 949, 1995, 1614, 1292, 2589, 1384, 272, 269, 2878, 19808, 6160, 2032, 4995, 2920, 532, 3533, 1510, 3206, 998, 519, 4539, 269, 1280, 1383, 267, 14443, 532, 1866, 1247, 789, 3717, 563, 273, 269, 2878, 18850, 847, 2225, 4995, 11109, 7411, 23622, 593, 4247, 610, 3478, 3362, 521, 573, 25523, 22486, 269, 6056, 827, 30534, 707, 2979, 1433, 693, 1753, 950, 596, 5921, 547, 3142, 621, 585, 2259, 563, 274, 269, 2878, 1103, 3430, 1549, 4995, 26647, 31227, 547, 2628, 2673, 3007, 547, 3877, 267, 1818, 1416, 1652, 9073, 267, 610, 4466, 621, 2352, 547, 1246, 5528, 269, 1323, 3236, 1131, 581, 7508, 3268, 538, 513, 2257, 4603, 1317, 596, 4769, 1405, 1224, 873, 5402, 2614, 780, 12441, 596, 917, 602, 1472, 476, 277, 268, 279, 260, 540, 3214, 723, 11838, 286, 1656, 7058, 1018, 286, 4107, 540, 891, 6909, 737, 1342, 657, 4309, 948, 689, 1920, 7189, 543, 12963, 2103, 269, 1924, 952, 2576, 596, 917, 814, 1044, 8995, 609, 11838, 267, 3314, 602, 789, 666, 1205, 1489, 547, 8853, 27268, 267, 13998, 267, 543, 14156, 1175, 899, 3025, 3116, 2439, 31572, 11838, 910, 2859, 20537, 3807, 2405, 1709, 454, 14343, 7042, 763, 1034, 1455, 1259, 547, 948, 3214, 609, 11838, 568, 1210, 8102, 656, 6527, 269, 1717, 267, 1082, 3885, 849, 2263, 824, 2409, 7258, 610, 3079, 540, 11955, 269, 1284, 1289, 1346, 834, 1260, 921, 29232, 543, 4244, 5574, 2437, 799, 666, 2039, 689, 2921, 8324, 547, 1565, 1007, 1983, 256, 2368, 3681, 1331, 1384, 2162, 4173, 2125, 1299, 4675, 6123, 692, 26807, 2067, 6878, 267, 971, 607, 15060, 268, 274, 9761, 7408, 1336, 538, 3165, 3282, 29893, 267, 1522, 5351, 5834, 543, 2569, 535, 573, 1326, 1465, 269, 5901, 538, 2247, 282, 2141, 5077, 609, 513, 11967, 2937, 1354, 4358, 1022, 1007, 21447, 610, 32340, 2439, 2162, 10791, 15448, 692, 5278, 3494, 5969, 1394, 593, 14836, 610, 4946, 811, 6886, 899, 13058, 543, 13101, 666, 1764, 2623, 543, 18906, 4369, 269, 2755, 1382, 18387, 1405, 8810, 713, 17046, 569, 2943, 267, 4189, 7059, 6980, 2407, 540, 5613, 267, 19787, 267, 2898, 9274, 267, 10709, 5946, 267, 543, 2635, 9600, 786, 1832, 4703, 2178, 543, 8186, 8325, 2439, 2162, 24238, 9828, 692, 8469, 2787, 267, 2620, 7244, 5751, 267, 543, 8026, 14696, 666, 4001, 3214, 3407, 4245, 827, 1582, 18221, 543, 3929, 7939, 269, 5994, 1373, 2111, 547, 1491, 1852, 540, 707, 4555, 543, 4606, 1107, 3579, 267, 26001, 31841, 2162, 11020, 9751, 11242, 692, 32507, 12890, 3724, 267, 2780, 3292, 267, 543, 3756, 2966, 547, 2087, 3965, 543, 3007, 12732, 666, 2709, 3606, 2081, 547, 7794, 519, 2634, 6091, 3743, 585, 1445, 543, 20949, 1852, 269, 5808, 9327, 1405, 1616, 547, 1377, 909, 741, 2634, 1379, 4730, 3381, 3756, 31841, 2162, 5682, 28805, 692, 8967, 2056, 2298, 942, 13964, 11303, 676, 2470, 2337, 14867, 2566, 543, 5818, 7099, 269, 9578, 267, 2168, 2534, 10607, 2949, 8171, 543, 7512, 1732, 3207, 269, 12414, 1055, 1346, 13819, 543, 979, 1404, 3544, 2439, 8855, 267, 1100, 1079, 1004, 616, 7567, 267, 865, 1114, 2994, 960, 1655, 4470, 593, 1367, 2115, 269, 2060, 9639, 267, 1620, 267, 543, 1930, 2792, 1063, 4079, 267, 3610, 267, 543, 9905, 267, 5883, 11838, 3587, 2009, 543, 2636, 1169, 1126, 547, 19542, 538, 741, 2189, 1259, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 4467, 921, 29232, 543, 20010, 26935, 625, 585, 17925, 23206, 4347, 7228, 15214, 13808, 13081, 281, 589, 29149, 5623, 454, 16920, 1549, 17211, 30759, 4524, 630, 4696, 270, 8461, 1070, 6353, 676, 791, 6160, 2032, 267, 16297, 2225, 267, 543, 538, 3430, 1549, 267, 814, 606, 6059, 12963, 2551, 9860, 540, 476, 277, 1700, 279, 10065, 7731, 13500, 543, 12963, 2103, 6218, 543, 1521, 519, 5354, 540, 1453, 609, 713, 2783, 269, 634, 2963, 2861, 2126, 540, 3903, 585, 11838, 267, 8102, 656, 6646, 267, 5170, 547, 581, 513, 2707, 540, 1857, 15784, 269, 24028, 903, 2303, 602, 1851, 3237, 540, 1453, 609, 11838, 267, 972, 568, 9645, 1719, 538, 14911, 543, 4244, 4915, 630, 290, 4456, 1040, 1452, 11257, 1331, 16909, 21339, 267, 7777, 9360, 267, 4006, 19231, 267, 543, 4874, 12584, 18260, 9761, 7408, 269, 4033, 5084, 270, 8461, 11257, 1331, 5778, 1922, 3975, 3724, 267, 5042, 2866, 267, 11009, 9066, 267, 543, 4598, 547, 968, 13582, 2230, 1848, 769, 1931, 547, 4217, 13500, 543, 2790, 1072, 4648, 538, 14775, 547, 3461, 543, 2385, 14511, 267, 713, 17328, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 1215, 13518, 4826, 1772, 538, 513, 476, 1428, 20356, 676, 476, 275, 20356, 623, 944, 2496, 293, 2391, 2051, 2293, 13456, 270, 19445, 17496, 270, 7476, 1399, 16103, 692, 15612, 908, 875, 1454, 1216, 568, 538, 707, 7535, 3884, 1406, 2352, 607, 1279, 607, 596, 917, 519, 7516, 540, 707, 7535, 543, 666, 798, 930, 2596, 2979, 269, 2422, 519, 2698, 17529, 3330, 707, 7535, 547, 948, 3313, 875, 1454, 707, 1216, 3915, 786, 581, 547, 6445, 707, 7535, 610, 875, 1454, 6464, 596, 3580, 547, 991, 547, 1039, 547, 519, 1216, 780, 1012, 12763, 906, 692, 29991, 519, 8006, 540, 707, 7535, 676, 5373, 519, 11746, 2268, 2066, 519, 7535, 689, 835, 2427, 540, 519, 7535, 547, 519, 824, 269, 1411, 666, 3489, 713, 6482, 676, 6998, 2576, 547, 1796, 3544, 519, 7535, 543, 16246, 3330, 519, 7535, 3054, 547, 2721, 519, 11746, 2268, 2066, 519, 3330, 540, 519, 7535, 269, 12763, 519, 3178, 540, 519, 7535, 676, 2901, 11093, 519, 11746, 2268, 593, 519, 3544, 540, 707, 1657, 2666, 7535, 610, 676, 11093, 519, 11746, 2268, 2059, 519, 5377, 540, 519, 3330, 540, 707, 7535, 780, 1012, 6726, 725, 692, 11372, 17586, 519, 8006, 676, 519, 8006, 676, 519, 3178, 676, 519, 1216, 676, 519, 1297, 476, 276, 269, 280, 547, 3313, 519, 4320, 269, 1280, 513, 476, 1428, 20356, 5180, 7535, 602, 568, 476, 275, 3952, 2620, 267, 519, 535, 558, 3121, 1131, 1413, 899, 713, 281, 476, 1428, 1535, 476, 1428, 1535, 476, 275, 1535, 476, 276, 269, 280, 815, 476, 276, 267, 20542, 17529, 540, 1216, 780, 1012, 19047, 692, 2252, 596, 723, 606, 24814, 11057, 7535, 267, 596, 3580, 991, 547, 5173, 519, 4320, 5594, 8335, 269, 25092, 519, 3259, 2053, 519, 8700, 676, 519, 3178, 676, 519, 1297, 476, 276, 269, 280, 780, 1892, 14419, 519, 8006, 540, 707, 7535, 676, 5373, 519, 11746, 2268, 2066, 519, 7535, 689, 835, 2427, 540, 519, 7535, 547, 519, 824, 780, 1012, 9669, 692, 12648, 513, 3732, 540, 707, 7535, 1216, 547, 519, 7535, 4558, 269, 623, 944, 4558, 5520, 666, 948, 596, 3313, 875, 1454, 540, 1142, 3114, 596, 3580, 991, 547, 1039, 547, 519, 7535, 547, 1205, 707, 1216, 909, 547, 7850, 27194, 2157, 269, 0, 258, 23227, 908, 519, 14251, 2218, 7180, 540, 513, 9325, 692, 1012, 14581, 15048, 692, 11693, 692, 11377, 11679, 328, 630, 339, 264, 815, 1422, 2765, 346, 272, 7346, 6912, 346, 273, 14990, 8218, 32413, 348, 536, 3709, 272, 348, 10339, 7268, 2765, 24877, 328, 27887, 3709, 271, 15396, 309, 264, 339, 7346, 327, 8663, 348, 11924, 321, 3709, 273, 348, 10339, 7268, 2765, 24877, 328, 27887, 3709, 271, 18511, 309, 264, 339, 7346, 327, 8663, 348, 9385, 315, 536, 3709, 272, 348, 10339, 7268, 2765, 24877, 328, 27887, 3709, 271, 15396, 309, 264, 339, 7346, 327, 8663, 348, 9984, 321, 3709, 273, 348, 10339, 7268, 2765, 24877, 328, 27887, 3709, 271, 18511, 309, 264, 339, 7346, 327, 8663, 16585, 1422, 754, 32413, 15732, 13729, 536, 272, 284, 536, 273, 815, 476, 272, 270, 18414, 273, 543, 6542, 519, 14251, 2218, 7180, 540, 519, 9325, 1063, 519, 1079, 6922, 320, 269, 1215, 1279, 1281, 621, 1491, 519, 9325, 547, 4625, 1847, 689, 835, 5934, 547, 519, 824, 2496, 1012, 14581, 12307, 692, 303, 6372, 15285, 540, 513, 5119, 630, 286, 2020, 1012, 634, 28055, 693, 513, 8827, 692, 296, 723, 1100, 4704, 585, 713, 2243, 865, 993, 2731, 18516, 1018, 621, 568, 6998, 267, 5310, 2576, 1223, 1448, 803, 538, 519, 1318, 4287, 2496, 335, 4732, 269, 713, 786, 2693, 581, 519, 2063, 2243, 594, 2307, 1354, 519, 11400, 543, 1131, 899, 547, 2161, 513, 7372, 9684, 596, 547, 3025, 593, 1934, 602, 814, 5280, 609, 930, 540, 519, 2055, 594, 4312, 11540, 621, 781, 1500, 513, 2462, 3017, 547, 1250, 1620, 540, 1082, 2035, 543, 594, 1131, 723, 1044, 693, 513, 2530, 6382, 2439, 8310, 12995, 1384, 10521, 2656, 11974, 593, 519, 1533, 602, 596, 3177, 912, 263, 272, 264, 6496, 621, 2731, 4125, 519, 12825, 540, 606, 12825, 286, 594, 14353, 922, 1175, 513, 31455, 3390, 267, 855, 1175, 547, 581, 2386, 2433, 335, 454, 263, 273, 264, 3657, 1312, 5123, 2474, 630, 1492, 2165, 538, 519, 4661, 540, 519, 12825, 264, 519, 1482, 2496, 337, 6229, 4157, 454, 10521, 2656, 11974, 593, 519, 1533, 602, 596, 3177, 912, 263, 272, 264, 6496, 621, 2731, 4125, 519, 12825, 540, 606, 12825, 286, 594, 14353, 922, 1175, 513, 31455, 3390, 267, 855, 1175, 547, 581, 2386, 2433, 335, 454, 263, 273, 264, 3657, 1312, 5123, 2474, 630, 1492, 2165, 538, 519, 4661, 540, 519, 12825, 264, 519, 1482, 2496, 29012, 972, 729, 513, 31455, 3390, 621, 568, 6378, 1631, 269, 1656, 1100, 267, 3284, 3098, 267, 519, 2407, 3830, 538, 519, 4967, 568, 1384, 11377, 11679, 328, 630, 339, 6661, 536, 3709, 272, 348, 10339, 7268, 2765, 24877, 328, 27887, 3709, 271, 15396, 309, 264, 339, 7346, 327, 8663, 348, 9385, 11679, 328, 23214, 272, 15396, 321, 3709, 273, 348, 10339, 7268, 2765, 24877, 328, 27887, 3709, 271, 18511, 309, 264, 339, 7346, 327, 8663, 348, 9385, 11679, 328, 23214, 273, 13157, 1422, 2765, 346, 272, 7346, 6912, 346, 273, 14990, 8218, 32413, 348, 536, 3709, 272, 348, 10339, 7268, 2765, 24877, 328, 27887, 3709, 271, 15396, 309, 264, 339, 7346, 327, 8663, 348, 11924, 321, 3709, 273, 348, 10339, 7268, 2765, 24877, 328, 27887, 3709, 271, 18511, 309, 264, 339, 7346, 327, 8663, 348, 9385, 315, 536, 3709, 272, 348, 10339, 7268, 2765, 24877, 328, 27887, 3709, 271, 15396, 309, 264, 339, 7346, 327, 8663, 348, 9984, 321, 3709, 273, 348, 10339, 7268, 2765, 24877, 328, 27887, 3709, 271, 18511, 309, 264, 339, 7346, 327, 8663, 16585, 1422, 754, 32413, 16585, 9681, 17764, 15502, 267, 594, 1589, 594, 4718, 835, 540, 519, 4191, 4636, 569, 543, 2219, 519, 11775, 941, 519, 1482, 630, 6518, 1131, 581, 9490, 1916, 310, 699, 972, 1022, 811, 3877, 540, 519, 2168, 1305, 5346, 286, 19227, 519, 2474, 834, 2381, 9874, 257, 543, 4399, 11679, 328, 3709, 272, 4151, 1315, 4399, 11679, 328, 3709, 273, 4151, 616, 3833, 2182, 547, 4612, 1510, 513, 2796, 780, 337, 6229, 4157, 454, 17764, 15502, 267, 594, 1589, 594, 4718, 835, 540, 519, 4191, 4636, 569, 543, 2219, 519, 11775, 941, 519, 1482, 630, 6518, 1131, 581, 9490, 1916, 310, 699, 972, 1022, 811, 3877, 540, 519, 2168, 1305, 5346, 286, 19227, 519, 2474, 834, 2381, 9874, 257, 543, 4399, 11679, 328, 3709, 272, 4151, 1315, 4399, 11679, 328, 3709, 273, 4151, 616, 3833, 2182, 547, 4612, 1510, 513, 2796, 780, 763, 1966, 568, 3144, 689, 4967, 593, 513, 1079, 1533, 1062, 1141, 519, 1739, 554, 15071, 1014, 568, 4294, 692, 2330, 295, 815, 1422, 8218, 32413, 348, 661, 3709, 271, 348, 1299, 309, 8607, 966, 1299, 661, 3709, 271, 348, 1422, 754, 32413, 15732, 527, 2164, 538, 1079, 14802, 2829, 692, 11377, 11679, 328, 23214, 272, 348, 815, 1422, 2765, 346, 272, 7346, 6912, 346, 273, 14990, 8218, 32413, 348, 476, 272, 11138, 476, 272, 1422, 754, 32413, 28021, 11377, 11679, 328, 23214, 272, 348, 815, 1422, 2765, 346, 272, 7346, 6912, 346, 273, 14990, 8218, 32413, 348, 476, 272, 11138, 910, 272, 1422, 754, 32413, 15732, 257, 17798, 267, 952, 519, 6475, 568, 538, 606, 14802, 8063, 621, 786, 547, 1402, 3634, 1312, 6922, 320, 269, 634, 1034, 2489, 1533, 540, 519, 1062, 666, 581, 513, 5276, 2706, 6570, 540, 891, 1079, 861, 919, 609, 519, 3617, 942, 4096, 656, 2188, 3010, 11377, 11679, 328, 630, 339, 6661, 536, 3709, 272, 348, 10339, 7268, 2765, 24877, 328, 27887, 3709, 271, 15396, 309, 264, 339, 7346, 327, 8663, 348, 9385, 11679, 328, 23214, 272, 15396, 321, 3709, 273, 348, 10339, 7268, 2765, 24877, 328, 27887, 3709, 271, 18511, 309, 264, 339, 7346, 327, 8663, 348, 9385, 11679, 328, 23214, 273, 13157, 1422, 2765, 346, 272, 7346, 6912, 346, 273, 14990, 8218, 32413, 348, 536, 3709, 272, 348, 10339, 7268, 2765, 24877, 328, 27887, 3709, 271, 15396, 309, 264, 339, 7346, 327, 8663, 348, 11924, 321, 3709, 273, 348, 10339, 7268, 2765, 24877, 328, 27887, 3709, 271, 18511, 309, 264, 339, 7346, 327, 8663, 348, 9385, 315, 536, 3709, 272, 348, 10339, 7268, 2765, 24877, 328, 27887, 3709, 271, 15396, 309, 264, 339, 7346, 327, 8663, 348, 9984, 321, 3709, 273, 348, 10339, 7268, 2765, 24877, 328, 27887, 3709, 271, 18511, 309, 264, 339, 7346, 327, 8663, 16585, 1422, 754, 32413, 348, 4297, 9681, 13295, 267, 585, 2489, 536, 272, 543, 536, 273, 519, 6475, 786, 14251, 622, 1063, 519, 1079, 1761, 6922, 320, 780, 10190, 621, 12134, 519, 2243, 267, 5590, 536, 272, 815, 536, 273, 815, 476, 272, 270, 18414, 273, 543, 6542, 519, 14251, 2218, 7180, 32465, 607, 7150, 538, 519, 1101, 2022, 1657, 780, 25105, 267, 15502, 267, 607, 594, 2219, 267, 621, 568, 513, 1079, 13745, 1761, 1134, 1062, 563, 5575, 540, 782, 267, 621, 568, 5363, 547, 9004, 519, 1455, 2518, 5123, 267, 799, 568, 13061, 269, 3973, 267, 952, 536, 272, 815, 536, 273, 267, 519, 2040, 540, 519, 1079, 12825, 338, 666, 581, 4389, 547, 513, 12137, 518, 267, 12863, 1106, 563, 3383, 538, 519, 1439, 267, 519, 1533, 666, 581, 17370, 9287, 538, 519, 1106, 454, 11377, 8218, 32413, 348, 476, 272, 11138, 271, 17910, 32413, 348, 325, 6025, 264, 1341, 1422, 8218, 32413, 348, 476, 271, 11138, 272, 17910, 32413, 348, 326, 6025, 14638, 454, 263, 13434, 718, 602, 4399, 8218, 32413, 348, 476, 272, 11138, 271, 1422, 754, 32413, 4151, 543, 4399, 8218, 32413, 348, 476, 271, 11138, 272, 1422, 754, 32413, 4151, 616, 519, 14802, 560, 919, 540, 519, 4608, 537, 9482, 19401, 24355, 337, 6229, 4157, 454, 25105, 267, 15502, 267, 607, 594, 2219, 267, 621, 568, 513, 1079, 13745, 1761, 1134, 1062, 563, 5575, 540, 782, 267, 621, 568, 5363, 547, 9004, 519, 1455, 2518, 5123, 267, 799, 568, 13061, 269, 3973, 267, 952, 536, 272, 815, 536, 273, 267, 519, 2040, 540, 519, 1079, 12825, 338, 666, 581, 4389, 547, 513, 12137, 518, 267, 12863, 1106, 563, 3383, 538, 519, 1439, 267, 519, 1533, 666, 581, 17370, 9287, 538, 519, 1106, 454, 11377, 8218, 32413, 348, 476, 272, 11138, 271, 17910, 32413, 348, 325, 6025, 264, 1341, 1422, 8218, 32413, 348, 476, 271, 11138, 272, 17910, 32413, 348, 326, 6025, 14638, 454, 263, 13434, 718, 602, 4399, 8218, 32413, 348, 476, 272, 11138, 271, 1422, 754, 32413, 4151, 543, 4399, 8218, 32413, 348, 476, 271, 11138, 272, 1422, 754, 32413, 4151, 616, 519, 14802, 560, 919, 540, 519, 4608, 537, 9482, 19401, 24355, 25105, 327, 1775, 1589, 594, 1294, 602, 269, 1809, 875, 1131, 596, 5173, 519, 942, 621, 3217, 547, 979, 689, 835, 1533, 547, 519, 824, 2496, 539, 527, 543, 1018, 568, 519, 834, 21720, 2518, 5123, 257, 851, 540, 519, 3830, 286, 1018, 1281, 713, 8360, 1611, 286, 7064, 1586, 692, 8310, 12995, 912, 25105, 327, 1775, 1589, 594, 1294, 602, 269, 1809, 875, 1131, 596, 5173, 519, 942, 621, 3217, 547, 979, 689, 835, 1533, 547, 519, 824, 888, 11039, 621, 1131, 581, 3833, 6654, 2899, 596, 3489, 519, 8763, 3029, 540, 535, 6025, 264, 543, 575, 6025, 1040, 2311, 1978, 2053, 267, 535, 6025, 264, 786, 581, 4642, 267, 693, 1866, 267, 575, 6025, 264, 786, 581, 4642, 780, 663, 1018, 568, 519, 834, 21720, 2518, 5123, 257, 851, 540, 519, 3830, 286, 1018, 1281, 713, 8360, 1611, 286, 7064, 1586, 454, 15368, 1227, 267, 1317, 519, 5951, 10818, 568, 711, 606, 28507, 11769, 267, 649, 666, 1152, 5581, 621, 909, 547, 513, 2518, 5123, 3815, 269, 2334, 568, 547, 2161, 267, 585, 3236, 267, 4946, 606, 3063, 5123, 547, 519, 2161, 267, 519, 1533, 1269, 24689, 27923, 315, 26917, 8961, 799, 2164, 538, 1269, 324, 3867, 328, 24592, 348, 24689, 27923, 315, 26917, 8961, 1281, 711, 1689, 519, 6384, 267, 1317, 519, 5123, 3815, 1269, 324, 3867, 328, 24592, 4151, 2141, 666, 26118, 856, 269, 1684, 1491, 4063, 2705, 540, 519, 11984, 1063, 519, 2518, 11775, 543, 5123, 3604, 910, 519, 8545, 568, 2168, 1713, 543, 666, 581, 4767, 780, 337, 6229, 4157, 454, 11039, 621, 1131, 581, 3833, 6654, 2899, 596, 3489, 519, 8763, 3029, 540, 535, 6025, 264, 543, 575, 6025, 1040, 2311, 1978, 2053, 267, 535, 6025 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 298, 259, 581, 606, 5409, 19096, 13988, 538, 513, 7047, 14198, 11282, 7077, 538, 4389, 1106, 780, 4131, 1384, 1492, 29529, 7852, 540, 1269, 298, 259, 723, 3259, 1269, 273, 513, 14204, 1492, 31669, 7852, 540, 1269, 298, 259, 723, 3259, 1269, 273, 536, 16859, 763, 3830, 540, 1269, 298, 259, 568, 1384, 7445, 13320, 2715, 343, 317, 273, 348, 2715, 320, 317, 273, 348, 910, 1422, 13320, 2715, 344, 317, 273, 348, 2715, 321, 317, 273, 348, 815, 476, 272, 6911, 1012, 19577, 692, 3528, 4214, 267, 519, 535, 1539, 1269, 293, 318, 272, 259, 543, 1269, 293, 318, 273, 259, 540, 1269, 298, 259, 616, 4092, 693, 4399, 14654, 921, 2715, 268, 322, 267, 476, 271, 4151, 543, 4399, 14654, 921, 2715, 322, 267, 476, 271, 4151, 6606, 780, 4131, 519, 14622, 540, 1269, 298, 259, 581, 1269, 309, 318, 272, 259, 543, 1269, 309, 318, 273, 16859, 3528, 4214, 267, 891, 616, 4092, 693, 4399, 14654, 921, 2715, 268, 320, 267, 476, 271, 4151, 543, 4399, 14654, 921, 2715, 320, 267, 476, 271, 31859, 4131, 519, 1071, 3200, 1182, 540, 1269, 298, 259, 581, 1269, 290, 318, 272, 259, 543, 1269, 290, 318, 273, 16859, 3528, 4214, 267, 891, 616, 4092, 693, 4399, 14654, 921, 2715, 271, 267, 910, 321, 4151, 543, 4399, 14654, 921, 2715, 271, 267, 536, 31859, 4131, 1269, 303, 815, 1422, 14654, 921, 2715, 343, 267, 586, 4151, 581, 606, 17062, 1448, 593, 519, 30580, 540, 1269, 298, 16859, 5804, 519, 1226, 573, 2700, 3959, 540, 1269, 298, 259, 649, 723, 602, 1384, 7445, 21653, 2715, 293, 318, 272, 623, 910, 674, 318, 273, 623, 348, 815, 546, 6911, 3602, 1269, 323, 259, 568, 513, 3586, 585, 713, 1880, 31753, 780, 259, 323, 815, 476, 273, 513, 14204, 259, 322, 317, 273, 513, 317, 273, 815, 536, 317, 273, 6911, 21413, 2530, 540, 1252, 1275, 267, 1577, 721, 3442, 513, 1448, 1269, 303, 259, 971, 602, 1269, 293, 318, 272, 623, 3436, 674, 318, 273, 623, 16859, 10190, 1384, 4399, 6234, 1422, 6912, 11513, 10012, 2715, 343, 1341, 524, 11892, 273, 1341, 586, 317, 273, 348, 910, 1422, 6912, 11513, 10012, 2715, 343, 910, 524, 11892, 273, 1341, 586, 317, 273, 4151, 1269, 284, 259, 4399, 6234, 546, 815, 476, 273, 513, 259, 19456, 23768, 781, 14497, 4399, 6234, 1422, 548, 611, 560, 334, 1422, 8096, 4399, 6234, 1422, 6912, 11513, 10012, 2715, 343, 1341, 524, 11892, 273, 1341, 586, 317, 273, 4151, 1269, 284, 259, 4399, 6234, 476, 273, 513, 1341, 1422, 6912, 11513, 10012, 2715, 343, 910, 524, 11892, 273, 1341, 586, 317, 273, 4151, 4399, 6234, 1422, 548, 611, 560, 334, 1422, 8096, 4399, 6234, 1422, 10012, 2715, 343, 1341, 524, 11892, 273, 1341, 586, 317, 273, 259, 1269, 284, 259, 4399, 6234, 1422, 10012, 2715, 273, 513, 1341, 1422, 6912, 11513, 10012, 2715, 343, 910, 524, 11892, 273, 1341, 586, 317, 273, 348, 7684, 317, 273, 259, 2695, 2130, 1312, 5011, 4399, 6234, 1422, 548, 611, 560, 334, 1422, 8096, 4399, 6234, 1535, 317, 273, 1341, 476, 273, 524, 1535, 1341, 524, 317, 273, 1341, 586, 317, 273, 259, 1269, 284, 259, 4399, 6234, 476, 275, 513, 317, 273, 1341, 476, 275, 513, 1422, 6912, 11513, 10012, 2715, 343, 910, 524, 11892, 273, 1341, 586, 317, 273, 348, 1341, 1422, 10012, 2715, 343, 910, 524, 11892, 273, 1341, 586, 317, 273, 259, 9750, 4399, 6234, 1422, 548, 611, 560, 334, 1422, 8096, 4399, 6234, 1535, 317, 273, 1341, 476, 273, 524, 1535, 1341, 524, 317, 273, 1341, 586, 317, 273, 259, 1269, 284, 259, 4399, 6234, 476, 275, 513, 317, 273, 1341, 476, 275, 513, 1422, 6912, 11513, 10012, 2715, 343, 910, 524, 11892, 273, 1341, 586, 317, 273, 348, 1341, 1535, 317, 273, 910, 476, 273, 524, 1535, 1341, 524, 317, 273, 1341, 586, 317, 273, 259, 2417, 9750, 4399, 6234, 1422, 548, 611, 560, 334, 1422, 8096, 4399, 6234, 524, 1535, 910, 513, 317, 273, 259, 1269, 284, 259, 4399, 6234, 513, 1422, 6912, 11513, 10012, 2715, 343, 910, 524, 11892, 273, 1341, 586, 317, 273, 4151, 11018, 2474, 543, 28976, 4399, 6234, 1422, 548, 611, 560, 334, 1422, 8096, 4399, 6234, 1422, 10012, 2715, 322, 1535, 910, 513, 317, 273, 11892, 273, 259, 1269, 284, 259, 4399, 6234, 513, 317, 273, 1422, 10012, 11513, 10012, 2715, 343, 910, 524, 11892, 273, 1341, 586, 317, 273, 11892, 273, 259, 2695, 2130, 1312, 5011, 4399, 6234, 1422, 548, 611, 560, 334, 1422, 8096, 4399, 6234, 524, 317, 273, 1535, 317, 273, 910, 476, 273, 524, 1535, 513, 317, 273, 1341, 513, 317, 275, 259, 1269, 284, 259, 4399, 6234, 513, 317, 273, 1535, 317, 273, 910, 476, 273, 524, 1535, 513, 317, 273, 1341, 513, 317, 273, 524, 317, 273, 1341, 513, 317, 273, 586, 317, 273, 259, 9750, 4399, 6234, 1422, 548, 611, 560, 334, 1422, 8096, 4399, 6234, 524, 317, 273, 1535, 317, 273, 1341, 513, 317, 275, 259, 1269, 284, 259, 4399, 6234, 513, 317, 273, 1535, 317, 273, 1341, 513, 317, 273, 524, 317, 273, 1341, 513, 317, 273, 586, 317, 273, 259, 28976, 4399, 6234, 1422, 548, 611, 560, 334, 1422, 8096, 4399, 6234, 513, 317, 273, 524, 317, 273, 910, 513, 317, 275, 259, 1269, 284, 259, 4399, 6234, 524, 317, 273, 1535, 317, 273, 910, 513, 317, 273, 1535, 317, 273, 910, 513, 317, 273, 586, 317, 273, 259, 11018, 2474, 4399, 6234, 1422, 548, 611, 560, 334, 1422, 8096, 4399, 6234, 513, 317, 273, 1422, 10012, 2715, 322, 317, 273, 910, 513, 317, 273, 4151, 1269, 284, 259, 4399, 6234, 1422, 10012, 2715, 322, 317, 273, 910, 513, 317, 273, 348, 1535, 317, 273, 910, 513, 317, 273, 586, 317, 273, 259, 28976, 4399, 6234, 1422, 548, 611, 560, 334, 1422, 8096, 4399, 6234, 513, 317, 273, 536, 317, 273, 259, 1269, 284, 259, 4399, 6234, 536, 317, 273, 1535, 317, 273, 910, 513, 317, 273, 586, 317, 273, 259, 2655, 23082, 1269, 322, 317, 273, 910, 513, 317, 273, 815, 536, 317, 273, 259, 689, 18159, 273, 7751, 4399, 6234, 1422, 548, 611, 560, 334, 1422, 8096, 4399, 6234, 476, 272, 259, 1269, 284, 259, 4399, 6234, 1422, 2765, 2715, 343, 317, 273, 348, 2715, 320, 317, 273, 348, 910, 1422, 2765, 2715, 344, 317, 273, 348, 2715, 321, 317, 273, 4151, 12270, 676, 1269, 320, 317, 273, 536, 317, 273, 6911, 7445, 4565, 2931, 13645, 259, 0, 258, 1711, 606, 6697, 1062, 540, 4834, 267, 7223, 6780, 692, 13202, 476, 1691, 628, 267, 476, 1001, 277, 454, 2304, 11345, 454, 32051, 912, 12385, 24136, 454, 25820, 281, 8096, 1015, 20430, 692, 9223, 6609, 692, 272, 269, 589, 1062, 540, 4834, 568, 3254, 2630, 1384, 274, 343, 1341, 476, 279, 344, 815, 476, 1321, 454, 273, 343, 1341, 476, 273, 344, 815, 476, 274, 692, 8512, 589, 281, 8073, 606, 6697, 1062, 540, 4834, 676, 13868, 835, 3830, 609, 519, 2040, 540, 602, 3830, 543, 513, 2789, 540, 519, 824, 269, 8058, 519, 3268, 547, 798, 713, 269, 630, 277, 2798, 2020, 8512, 645, 281, 8058, 602, 519, 6697, 1062, 814, 519, 1482, 3070, 607, 519, 3312, 1062, 540, 4834, 269, 630, 275, 2798, 2020, 273, 269, 1109, 297, 659, 984, 22939, 476, 2568, 3764, 538, 519, 15547, 1169, 1554, 3257, 1863, 8518, 5751, 543, 4881, 593, 519, 25500, 17524, 269, 1261, 22939, 476, 1789, 3764, 811, 4881, 593, 519, 25500, 17524, 982, 3257, 1863, 8518, 5751, 780, 8512, 589, 281, 3503, 513, 6292, 540, 5276, 4834, 547, 1397, 519, 2078, 1063, 519, 1297, 540, 3764, 15243, 1281, 1863, 8518, 5751, 630, 344, 264, 543, 519, 1297, 540, 3764, 646, 8255, 593, 519, 25500, 17524, 3287, 1040, 630, 276, 2798, 2020, 8512, 645, 281, 1215, 1454, 942, 1281, 15243, 6108, 593, 3257, 1863, 8518, 5751, 286, 630, 274, 2798, 2020, 8512, 595, 281, 1772, 621, 2009, 585, 15243, 547, 723, 6170, 476, 2412, 3764, 4881, 593, 519, 25500, 17524, 286, 11512, 707, 7744, 269, 630, 273, 2798, 2020, 274, 269, 1109, 2304, 3830, 568, 3254, 2630, 1384, 276, 343, 910, 586, 815, 476, 279, 692, 8512, 589, 281, 11512, 875, 596, 786, 1397, 782, 540, 519, 3435, 602, 14183, 713, 3830, 269, 630, 275, 2798, 2020, 8512, 645, 281, 14419, 1614, 1114, 3435, 585, 713, 3830, 269, 630, 275, 2798, 2020, 8512, 595, 281, 3503, 606, 3830, 602, 666, 581, 19610, 609, 519, 2016, 3830, 538, 1931, 547, 1106, 513, 1062, 540, 4834, 602, 568, 22522, 269, 630, 273, 2798, 2020, 275, 269, 3487, 589, 281, 11512, 1946, 519, 1535, 18396, 24002, 540, 519, 2798, 1141, 519, 11708, 540, 519, 4834, 586, 815, 476, 279, 343, 30548, 586, 815, 476, 273, 343, 1341, 476, 273, 1109, 5793, 4167, 616, 519, 3435, 540, 519, 3830, 476, 279, 343, 1109, 284, 476, 273, 343, 1341, 476, 273, 269, 630, 275, 2798, 2020, 8512, 645, 281, 5269, 7515, 547, 1265, 519, 3070, 547, 476, 279, 343, 1109, 284, 476, 273, 343, 1341, 476, 273, 269, 6875, 519, 8870, 2418, 540, 1535, 1063, 910, 274, 543, 476, 274, 269, 630, 275, 2798, 2020, 8512, 595, 281, 1215, 666, 596, 4194, 519, 3830, 476, 279, 343, 1109, 284, 476, 273, 343, 1341, 476, 273, 1109, 23054, 1227, 286, 630, 273, 2798, 2020, 476, 276, 269, 589, 1062, 540, 5276, 16526, 568, 3254, 2630, 11859, 910, 586, 3436, 476, 274, 344, 1341, 1535, 18016, 476, 273, 27855, 519, 3268, 547, 3113, 519, 3070, 1305, 547, 519, 1062, 540, 16526, 269, 630, 1015, 2798, 692, 263, 12749, 570, 12460, 264, 23080, 557, 1815, 1335, 11277, 454, 18662, 281, 1715, 3840, 2160, 692, 6597, 2988, 944, 814, 5280, 476, 272, 267, 28192, 267, 1911, 1053, 692, 18800, 689, 2875, 454, 2304, 11345, 454, 257, 20056, 550, 2816, 834, 692, 8146, 271, 21493, 616, 2228, 692, 31342, 2160, 692, 14096, 272, 570, 12781, 692, 30210, 4659, 540, 5303, 692, 22659, 272, 570, 12781, 692, 10111, 28616, 631, 749, 517, 2160, 692, 7176, 273, 570, 12781, 692, 8624, 3518, 807, 2160, 692, 10219, 277, 570, 12781, 692, 291, 691, 17625, 2160, 692, 21076, 274, 570, 12781, 692, 10387, 800, 2160, 692, 25375, 280, 570, 12781, 692, 19604, 10542, 2160, 692, 276, 4200, 570, 12781, 692, 22709, 11637, 4659, 540, 5303, 692, 23211, 280, 570, 12781, 692, 6124, 3840, 2160, 692, 13932, 276, 570, 12781, 692, 8253, 516, 12456, 2160, 692, 4489, 272, 570, 12781, 692, 302, 18925, 2160, 692, 18891, 273, 570, 12781, 692, 303, 523, 11796, 3557, 2160, 692, 280, 3953, 570, 12781, 692, 32459, 17662, 2160, 692, 13199, 272, 570, 12781, 692, 1805, 534, 5112, 2160, 692, 7176, 274, 570, 12781, 692, 17206, 540, 4993, 692, 12553, 273, 570, 12781, 692, 23682, 5112, 2160, 692, 11277, 570, 12781, 692, 312, 1446, 2160, 692, 22446, 276, 570, 12781, 0, 9209, 15058, 318, 25284, 2719, 318, 6944, 652, 318, 8512, 278, 692, 258, 3203, 15058, 318, 25284, 2719, 318, 6944, 652, 318, 8512, 278, 910, 32516, 476, 1556, 667, 312, 2793, 300, 2975, 13718, 1607, 12744, 2982, 3817, 476, 272, 1700, 275, 269, 6178, 909, 547, 2070, 519, 2407, 1543, 780, 6224, 22790, 476, 1556, 667, 312, 2793, 300, 2975, 11550, 16165, 4456, 300, 5058, 476, 11277, 19336, 20456, 18527, 630, 10157, 300, 264, 2913, 781, 1376, 676, 7421, 519, 1942, 540, 14921, 476, 273, 14290, 281, 19336, 5336, 738, 17586, 10490, 32390, 2567, 952, 9587, 314, 288, 316, 11203, 9587, 314, 289, 316, 1287, 5470, 834, 514, 4818, 26702, 7516, 257, 3116, 585, 1775, 815, 476, 272, 547, 9343, 314, 288, 316, 798, 585, 795, 815, 476, 272, 547, 9587, 314, 289, 316, 798, 595, 5157, 25814, 24557, 271, 585, 737, 815, 476, 272, 547, 9587, 314, 288, 316, 798, 595, 5157, 25814, 316, 815, 595, 5157, 25814, 316, 1341, 589, 5157, 267, 330, 316, 2608, 645, 25208, 25814, 316, 2132, 595, 5384, 6988, 815, 744, 9638, 336, 337, 264, 1141, 1923, 288, 347, 284, 335, 1535, 7117, 543, 1923, 289, 347, 815, 7117, 1535, 678, 1923, 288, 347, 815, 476, 273, 2608, 476, 274, 267, 1923, 289, 347, 815, 476, 274, 2608, 476, 272, 267, 4061, 547, 9062, 891, 476, 273, 14290, 267, 649, 991, 744, 263, 273, 265, 274, 265, 272, 6661, 302, 263, 277, 264, 22185, 8691, 1547, 634, 1267, 568, 5119, 595, 609, 1923, 290, 347, 815, 476, 273, 2608, 476, 272 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1404, 29228, 10797, 1038, 8640, 10624, 2419, 4069, 2652, 834, 311, 257, 10778, 2018, 2312, 3519, 18030, 263, 271, 994, 2018, 19523, 20216, 527, 10797, 1038, 3116, 10778, 2018, 3014, 24464, 340, 10797, 8931, 3698, 1404, 29228, 3890, 10778, 825, 5727, 11917, 1555, 3403, 689, 3593, 267, 2638, 1996, 4351, 1297, 543, 4159, 3977, 20701, 825, 703, 299, 1077, 815, 476, 271, 1948, 29239, 1305, 547, 476, 271, 454, 825, 703, 295, 27941, 815, 476, 1911, 271, 1948, 29239, 1305, 547, 476, 1911, 271, 454, 825, 678, 526, 10831, 815, 476, 271, 22562, 825, 1820, 28361, 333, 763, 1297, 786, 581, 689, 606, 8537, 2039, 540, 2715, 271, 348, 547, 2715, 272, 348, 8339, 8971, 17301, 299, 1077, 267, 703, 295, 27941, 4917, 8931, 825, 2119, 10778, 1038, 3593, 10817, 612, 815, 703, 9272, 3488, 8923, 4283, 707, 7058, 281, 1412, 4917, 825, 4849, 23241, 1038, 2119, 10778, 2018, 721, 1120, 340, 612, 815, 703, 9272, 3488, 2467, 729, 606, 5470, 256, 7490, 4283, 513, 2898, 1297, 689, 519, 2039, 2715, 271, 348, 910, 2715, 272, 4153, 454, 2018, 29717, 8971, 17301, 299, 1077, 267, 703, 295, 27941, 21875, 1038, 4849, 10778, 2018, 1820, 3488, 28989, 267, 972, 729, 606, 5470, 269, 5073, 2018, 2312, 3519, 18030, 263, 273, 994, 2018, 3014, 24464, 340, 10797, 825, 678, 526, 10831, 815, 4351, 10831, 17301, 299, 1077, 267, 703, 295, 27941, 2020, 825, 1247, 3593, 10817, 612, 11203, 678, 526, 10831, 2433, 3097, 1038, 1820, 19629, 333, 28989, 267, 596, 4769, 1405, 7058, 519, 1297, 15419, 1038, 952, 3593, 10817, 612, 2999, 678, 526, 10831, 10778, 2018, 1820, 3488, 7312, 7058, 729, 1970, 17210, 2018, 2119, 2433, 3097, 3546, 3593, 10817, 612, 815, 703, 9272, 19629, 333, 1432, 781, 707, 1985, 7058, 286, 27328, 2018, 4849, 2433, 3097, 3546, 2119, 2433, 3097, 7386, 721, 1120, 340, 612, 815, 703, 9272, 28361, 333, 28989, 267, 972, 729, 606, 5470, 282, 5225, 2119, 1586, 281, 1412, 4917, 3546, 4849, 10778, 7386, 1820, 3488, 28989, 267, 972, 729, 606, 5470, 269, 5073, 7386, 2312, 3519, 18030, 263, 273, 994, 7386, 3014, 24464, 340, 4590, 4449, 8528, 1038, 952, 3593, 10817, 612, 3436, 678, 526, 10831, 10778, 2018, 1820, 3488, 7312, 7058, 729, 1164, 17210, 2018, 2119, 2433, 3097, 3546, 3593, 10817, 612, 815, 703, 9272, 2891, 1432, 781, 707, 1985, 7058, 286, 27328, 2018, 4849, 2433, 3097, 3546, 2119, 2433, 3097, 7386, 721, 1120, 340, 612, 815, 703, 9272, 28361, 333, 28989, 267, 972, 729, 606, 5470, 282, 5225, 2119, 1586, 281, 1412, 4917, 3546, 4849, 10778, 7386, 1820, 3488, 28989, 267, 972, 729, 606, 5470, 269, 5073, 7386, 2312, 3519, 18030, 263, 273, 994, 7386, 3014, 24464, 340, 10797, 825, 1820, 28361, 333, 14826, 23558, 256, 596, 31665, 519, 1297, 269, 5073, 825, 1820, 3488, 14303, 9506, 596, 547, 519, 10624, 1862, 5073, 825, 2312, 3519, 18030, 263, 274, 994, 825, 3014, 24464, 340, 30800, 3698, 4351, 10831, 5416, 267, 536, 264, 10778, 825, 5727, 17653, 919, 513, 4351, 703, 689, 2039, 513, 267, 536, 20701, 825, 2132, 263, 8681, 842, 5416, 14720, 264, 9239, 3698, 2312, 3519, 18030, 26028, 7159, 264, 2433, 1948, 10818, 547, 2312, 23641, 593, 12380, 610, 8837, 454, 825, 5727, 290, 548, 1513, 23641, 267, 609, 18593, 942, 8488, 780, 825, 4024, 3801, 547, 2312, 519, 23641, 585, 8837, 267, 1058, 602, 3111, 621, 786, 3801, 547, 2312, 519, 454, 825, 23641, 585, 12380, 563, 825, 29185, 825, 1104, 942, 454, 825, 942, 4732, 2748, 26028, 7159, 264, 3097, 825, 1948, 7472, 513, 8488, 1759, 593, 519, 4661, 2016, 547, 2312, 3519, 18030, 4590, 8931, 825, 1104, 15259, 692, 825, 2119, 10778, 11434, 15259, 269, 17882, 3488, 743, 338, 10807, 1948, 2193, 1513, 23641, 593, 8837, 692, 825, 4849, 10778, 11434, 15259, 269, 17882, 3488, 27234, 10807, 1948, 2193, 1513, 23641, 593, 12380, 7531, 3698, 1292, 3890, 2433, 3097, 825, 3014, 24464, 340, 10797, 604, 6449, 4067, 1029, 2652, 26242, 10852, 1029, 257, 10778, 825, 1292, 4590, 0, 3698, 2262, 18045, 30415, 8029, 453, 770, 2590, 815, 5569, 31573, 14061, 20889, 14052, 453, 611, 1112, 815, 15079, 1477, 22610, 6221, 538, 513, 11415, 6769, 453, 453, 611, 1112, 314, 14403, 316, 815, 513, 11415, 29644, 263, 14403, 3418, 13537, 27719, 333, 2668, 21860, 8443, 257, 260, 338, 281, 4939, 338, 257, 4939, 630, 4486, 267, 18011, 260, 3488, 266, 4486, 266, 10807, 338, 10807, 4939, 740, 1112, 264, 585, 1883, 538, 740, 1112, 316, 10142, 5320, 18045, 2891, 14709, 10153, 569, 538, 2097, 1863, 14744, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 12163, 32046, 593, 570, 826, 9484, 476, 1428, 476, 1321, 281, 3953, 281, 6734, 476, 1708, 271, 692, 287, 10461, 281, 521, 323, 520, 3279, 279, 454, 12163, 5814, 11885, 607, 5286, 692, 3698, 1966, 318, 274, 5416, 14720, 2187, 825, 513, 815, 5286, 15126, 5416, 994, 825, 536, 815, 5286, 15126, 6357, 994, 825, 1948, 17553, 642, 272, 3160, 547, 513, 454, 825, 642, 272, 815, 513, 3248, 8931, 825, 1948, 29626, 630, 320, 12500, 8358, 347, 320, 347, 317, 273, 267, 799, 568, 513, 22185, 7274, 454, 825, 22185, 815, 513, 11053, 7711, 536, 1315, 630, 513, 11053, 7711, 513, 3738, 3248, 8931, 825, 1948, 15531, 519, 4287, 6152, 1412, 11355, 262, 2059, 642, 273, 3097, 825, 1654, 322, 815, 536, 910, 22185, 2608, 513, 3248, 8931, 825, 1948, 15531, 519, 1871, 540, 524, 267, 602, 5849, 1923, 341, 273, 347, 284, 347, 321, 2008, 825, 524, 815, 5286, 28460, 630, 321, 11053, 7711, 536, 8358, 5286, 28460, 630, 11355, 11053, 7711, 1654, 322, 11850, 8931, 825, 1948, 7053, 12719, 642, 273, 3097, 825, 642, 273, 815, 524, 2608, 1654, 322, 3248, 8931, 825, 2132, 642, 272, 267, 642, 273, 454, 0, 258, 7383, 338, 20113, 692, 258, 476, 272, 269, 7383, 543, 1449, 476, 274, 540, 519, 3252, 689, 707, 3252, 3635, 3758, 269, 3097, 258, 7383, 1142, 1599, 538, 513, 1114, 1259, 1384, 258, 513, 269, 14840, 606, 7317, 9226, 8400, 543, 1104, 519, 9074, 269, 11910, 519, 568, 24449, 578, 601, 3097, 258, 1599, 1210, 519, 1547, 16105, 780, 5814, 1599, 318, 1410, 2075, 2478, 692, 10818, 318, 1410, 2075, 2478, 18994, 24449, 578, 601, 3488, 320, 17210, 258, 536, 269, 8073, 513, 3758, 3957, 1104, 318, 1410, 518, 923, 525, 18258, 269, 10738, 713, 3758, 267, 946, 689, 547, 1104, 3097, 258, 519, 5173, 4671, 760, 1599, 2047, 269, 11910, 713, 1599, 609, 2418, 596, 3442, 3097, 258, 543, 1820, 519, 1267, 780, 5228, 1599, 318, 1410, 2075, 2478, 1104, 5173, 4671, 760, 692, 2745, 263, 20412, 622, 4671, 760, 263, 271, 269, 273, 267, 476, 1911, 11723, 258, 524, 269, 8073, 513, 795, 1575, 344, 614, 21641, 3957, 1104, 318, 1410, 2075, 2478, 269, 760, 2106, 321, 269, 2422, 689, 547, 1104, 3097, 258, 519, 1205, 318, 12072, 318, 14079, 1599, 543, 2285, 621, 606, 620, 5362, 269, 4530, 713, 1599, 538, 707, 3097, 258, 21641, 780, 5228, 1599, 318, 1410, 2075, 2478, 1104, 1205, 318, 12072, 318, 14079, 607, 3446, 692, 2745, 263, 14079, 263, 9262, 11723, 258, 476, 273, 269, 3367, 827, 543, 946, 519, 621, 1068, 8962, 9074, 689, 519, 9226, 3044, 5399, 547, 3097, 258, 948, 596, 4194, 519, 1739, 2042, 1384, 258, 910, 1215, 1082, 1114, 2081, 666, 596, 9192, 519, 5022, 689, 834, 29582, 257, 609, 519, 3097, 258, 2338, 476, 272, 267, 476, 273, 267, 543, 476, 274, 2496, 5814, 621, 1068, 8962, 692, 335, 20094, 815, 7003, 17338, 263, 527, 1068, 8962, 4877, 6055, 3488, 29582, 3299, 1412, 11277, 262, 21875, 335, 20094, 692, 258, 910, 1215, 1082, 1114, 10659, 616, 972, 540, 476, 273, 5022, 689, 834, 629, 7251, 257, 2496, 18474, 657, 815, 7003, 17338, 263, 527, 1068, 8962, 2593, 321, 5209, 3488, 629, 7251, 3299, 476, 273, 21875, 18474, 657, 692, 258, 910, 1215, 1082, 1114, 32545, 616, 972, 540, 476, 273, 5022, 689, 834, 629, 7251, 257, 2496, 704, 916, 815, 7003, 17338, 263, 527, 1068, 8962, 269, 11279, 20706, 3488, 629, 7251, 3299, 476, 273, 21875, 704, 916, 692, 258, 476, 274, 269, 16440, 713, 3758, 607, 12632, 12459, 5459, 3330, 540, 707, 5751, 15682, 3097, 258, 630, 2431, 4945, 9847, 4688, 3758, 607, 1862, 1916, 258, 2422, 519, 4452, 1599, 689, 519, 795, 5459, 9074, 547, 1930, 713, 3758, 563, 258, 2659, 3009, 1058, 3132, 513, 1592, 540, 21594, 269, 4635, 713, 1239, 267, 3097, 258, 2328, 930, 3009, 602, 21410, 543, 17016, 519, 1739, 1344, 1384, 5814, 795, 5459, 454, 2889, 325, 3796, 815, 795, 5459, 269, 2903, 263, 13449, 3488, 2889, 325, 3796, 12459, 5459, 10807, 2020, 258, 910, 11192, 1297, 540, 3755, 692, 6352, 263, 2889, 325, 3796, 2020, 258, 910, 7089, 540, 3742, 3755, 692, 12248, 815, 476, 271, 454, 1721, 9043, 538, 12632, 912, 825, 952, 9043, 9131, 529, 30874, 11172, 2652, 6936, 912, 1038, 1293, 6834, 476, 272, 454, 12248, 692, 258, 910, 7089, 540, 29680, 3755, 692, 12248, 815, 476, 271, 454, 1721, 9043, 538, 12632, 912, 825, 952, 9043, 9131, 529, 30874, 11172, 2652, 8771, 912, 1038, 1293, 6834, 476, 272, 454, 12248, 692, 258, 910, 9835, 2698, 540, 21356, 585, 782, 3755, 692, 6588, 526, 4671, 4973, 815, 476, 271, 454, 1721, 9043, 538, 12632, 912, 825, 3666, 815, 10581, 263, 2889, 12803, 9131, 25270, 262, 4940, 516, 2897, 263, 3299, 3299, 15234, 1040, 516, 2897, 3488, 259, 3299, 15234, 4917, 825, 6264, 4671, 4973, 6834, 3666, 454, 6588, 526, 4671, 4973, 692, 258, 910, 19105, 3666, 829, 3593, 692, 6588, 526, 4671, 4973, 815, 476, 271, 454, 1721, 9043, 538, 12632, 912, 825, 3666, 815, 10581, 263, 2889, 12803, 9131, 25270, 262, 4940, 516, 2897, 3488, 259, 3299, 15234, 1040, 516, 2897, 263, 3299, 3299, 15234, 4917, 825, 6264, 4671, 4973, 6834, 3666, 454, 825, 3328, 318, 25270, 815, 630, 6588, 526, 4671, 4973, 1315, 7003, 263, 2889, 325, 3796, 4917, 1037, 5416, 2071, 318, 25270, 267, 476, 273, 2020, 258, 910, 14871, 609, 519, 9803, 3666, 692, 869, 652, 318, 25270, 815, 10581, 3488, 8882, 5073, 2381, 318, 12528, 815, 2715, 10926, 1721, 9043, 538, 12632, 912, 825, 3666, 815, 10581, 263, 2889, 12803, 9131, 25270, 262, 4940, 516, 2897, 3488, 259, 3299, 15234, 1040, 516, 2897, 263, 3299, 3299, 15234, 4917, 825, 952, 3666, 2999, 9803, 318, 25270, 912, 1038, 9803, 318, 25270, 815, 3666, 454, 1038, 1295, 318, 12528, 815, 9043, 28329, 2381, 318, 12528, 692, 258, 910, 14871, 609, 519, 5207, 3666, 692, 327, 580, 4554, 318, 25270, 815, 476, 271, 454, 10946, 318, 12528, 815, 2715, 10926, 1721, 9043, 538, 12632, 912, 825, 3666, 815, 10581, 263, 2889, 12803, 9131, 25270, 262, 4940, 516, 2897, 3488, 259, 3299, 15234, 1040, 516, 2897, 263, 3299, 3299, 15234, 4917, 825, 952, 3666, 3436, 5207, 318, 25270, 912, 1038, 5207, 318, 25270, 815, 3666, 454, 1038, 3193, 318, 12528, 815, 9043, 692, 10946, 318, 12528, 692, 258, 910, 4107, 1455, 5172, 4829, 692, 26258, 8217, 815, 1496, 3147, 660, 9131, 325, 2948, 924, 293, 8816, 11172, 585, 934, 660, 538, 12632, 6540, 26258, 18045, 338, 815, 2715, 10926, 1721, 4829, 538, 4829, 8217, 912, 825, 952, 4829, 711, 538, 4829, 18045, 338, 269, 12399, 10031, 1038, 4829, 18045, 338, 314, 26258, 316, 815, 476, 272, 454, 825, 3116, 912, 1038, 4829, 18045, 338, 314, 26258, 316, 6834, 476, 272, 692, 1721, 737, 267, 642, 538, 4829, 18045, 338, 29096, 10031, 825, 952, 642, 2652, 3193, 6600, 8816, 18045, 338, 269, 11161, 3890, 2187, 1038, 1820, 17347, 2020, 258, 910, 2274, 770, 1034, 1455, 5172, 4829, 692, 1721, 737, 267, 642, 538, 4829, 18045, 338, 29096, 10031, 825, 952, 642, 2652, 1295, 6600, 8816, 18045, 338, 269, 11161, 3890, 2187, 1038, 1820, 17347, 2020, 258, 910, 11192, 1297, 540, 796, 1348, 6835, 585, 782, 3755, 692, 8999, 8443, 842, 3488, 8339, 21860, 8443, 1998, 585, 1130, 538, 934, 660, 9131, 26572, 7566, 11172, 952, 1130, 18994, 323, 13424, 3890, 316, 4297, 585, 934, 660, 538, 12632, 8079 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1012, 11016, 267, 5181, 476, 6021, 267, 476, 1001, 277, 692, 2162, 4864, 476, 1001, 277, 5871, 11759, 16387, 3204, 757, 267, 3487, 476, 272, 692, 1432, 5205, 568, 513, 6712, 540, 519, 5871, 11759, 16387, 981, 269, 4033, 2694, 786, 581, 11540, 593, 824, 2395, 269, 16503, 5928, 786, 581, 3773, 693, 513, 2663, 942, 950, 789, 1831, 2139, 780, 2162, 4864, 476, 1001, 277, 16387, 3204, 757, 267, 3487, 594, 692, 272, 269, 769, 519, 6516, 2630, 267, 3515, 561, 267, 544, 267, 562, 543, 533, 12969, 1899, 678, 780, 7617, 3948, 568, 3020, 2496, 263, 273, 264, 561, 13466, 533, 269, 1403, 1079, 16538, 7285, 593, 519, 1482, 2427, 540, 513, 1098, 951, 531, 616, 24045, 267, 1287, 519, 3515, 616, 6252, 269, 634, 2040, 540, 476, 12208, 543, 476, 6924, 568, 476, 5197, 5232, 780, 273, 269, 6904, 7004, 1131, 711, 2141, 10583, 576, 606, 3239, 602, 1131, 581, 21412, 547, 519, 3312, 4137, 2496, 263, 273, 264, 546, 7976, 269, 589, 546, 7976, 786, 1689, 519, 2450, 540, 606, 3239, 267, 865, 621, 786, 711, 581, 21412, 269, 634, 1866, 1152, 1689, 519, 10066, 780, 274, 269, 1403, 606, 31164, 6906, 568, 11179, 29352, 1472, 3283, 540, 922, 1199, 2103, 267, 799, 476, 274, 8820, 1843, 568, 6383, 2496, 263, 272, 264, 13409, 269, 2290, 1448, 786, 3251, 538, 1404, 543, 519, 824, 1079, 786, 1106, 513, 5858, 780, 275, 269, 769, 519, 6516, 2630, 267, 544, 283, 9720, 290, 815, 476, 1911, 267, 544, 283, 288, 815, 476, 2004, 267, 543, 544, 283, 291, 6195, 815, 476, 1789, 780, 7617, 3948, 568, 3020, 2496, 263, 273, 264, 21121, 13235, 568, 568, 30801, 269, 645, 17584, 815, 476, 1911, 267, 667, 6195, 815, 476, 1789, 267, 865, 2999, 290, 815, 476, 2004, 267, 1317, 476, 1911, 1341, 476, 1789, 1341, 476, 2004, 815, 476, 5197, 269, 24234, 589, 568, 849, 476, 2004, 269, 2142, 659, 2224, 5086, 589, 815, 5086, 595, 267, 621, 568, 606, 568, 30801, 6906, 780, 276, 269, 6904, 1448, 3254, 538, 519, 3113, 2630, 568, 519, 3239, 540, 1448, 623, 1310, 513, 4831, 22018, 3772, 10047, 540, 476, 3445, 334, 827, 519, 5086, 2496, 263, 272, 264, 589, 269, 22388, 22018, 3772, 689, 21408, 656, 10001, 6770, 596, 547, 21408, 656, 594, 269, 8672, 623, 568, 2673, 547, 519, 1535, 14289, 267, 865, 519, 3239, 786, 581, 2673, 547, 519, 586, 14289, 267, 799, 568, 1141, 589, 568, 269, 8672, 645, 5654, 899, 513, 8086, 2066, 519, 1535, 14289, 780, 277, 269, 769, 6906, 13235, 267, 1141, 2999, 290, 568, 513, 1318, 5086, 267, 5430, 589, 815, 590, 304, 20670, 263, 2641, 264, 1315, 476, 276, 269, 1548, 568, 5609, 645, 2496, 263, 272, 264, 590, 304, 20670, 263, 2641, 264, 1315, 476, 276, 269, 5221, 16429, 645, 815, 15328, 589, 692, 278, 269, 21408, 10561, 13235, 291, 609, 32377, 8028, 543, 30183, 568, 3254, 538, 519, 6516, 2630, 780, 7617, 1344, 568, 711, 2614, 547, 6961, 13235, 291, 568, 513, 25521, 2496, 263, 274, 264, 9474, 815, 7131, 543, 7460, 13466, 5084, 269, 23657, 1079, 8424, 540, 6252, 5011, 616, 2877, 267, 610, 1079, 6292, 540, 21412, 5011, 267, 610, 835, 6292, 602, 568, 1312, 6252, 543, 21412, 1131, 6961, 621, 269, 1717, 267, 835, 6292, 540, 6252, 5011, 543, 513, 1114, 6292, 21412, 568, 711, 6190, 269, 2334, 1344, 1223, 581, 3020, 568, 13235, 291, 729, 267, 585, 1383, 267, 606, 568, 30801, 25671, 1355, 780, 279, 269, 1323, 31164, 6906, 814, 5011, 540, 3259, 476, 736, 269, 1677, 519, 14282, 20870, 267, 1018, 568, 519, 4463, 540, 519, 31164, 6906, 2496, 263, 274, 264, 476, 1704, 269, 274, 269, 1411, 1223, 7058, 713, 835, 269, 8571, 513, 6906, 543, 606, 15820, 269, 14893, 630, 272, 264, 476, 1015, 568, 519, 3259, 540, 519, 3490, 540, 519, 1318, 6906, 596, 1175, 2813, 269, 14893, 630, 275, 264, 476, 2537, 269, 272, 568, 3476, 982, 519, 30494, 269, 898, 781, 2901, 630, 273, 264, 610, 630, 274, 1070, 855, 596, 917, 602, 621, 786, 581, 1454, 8273, 982, 519, 3490, 269, 769, 1249, 267, 621, 786, 581, 519, 3490, 29376, 2464, 590, 304, 20670, 630, 274, 1070, 799, 568, 5111, 476, 272, 269, 278, 3953, 269, 1924, 476, 1015, 263, 272, 269, 278, 3953, 264, 815, 476, 1704, 269, 3953, 780, 8794, 519, 25355, 14497, 281, 1535, 273, 1341, 476, 9083, 815, 476, 1708, 454, 810, 1535, 273, 1341, 476, 1911, 815, 476, 6110, 454, 810, 1535, 273, 815, 476, 4968, 454, 343, 815, 476, 1704, 269, 17168, 276, 24222, 799, 568, 476, 1704, 269, 274, 547, 519, 14282, 20870, 780, 280, 269, 9717, 281, 21121, 589, 4488, 267, 6906, 667, 9128, 267, 543, 30264, 13902, 547, 9460, 692, 1432, 568, 513, 2953, 5311, 540, 16726, 14759, 602, 2982, 6906, 589, 4488, 9625, 6906, 667, 9128, 2496, 263, 275, 264, 513, 4831, 22018, 3772, 10047, 540, 476, 3445, 5232, 827, 1448, 661, 4553, 676, 513, 546, 7976, 609, 513, 4336, 3815, 476, 273, 10704, 693, 1448, 661, 269, 1411, 666, 1294, 602, 519, 4137, 29352, 1152, 476, 3445, 5232, 267, 711, 476, 5197, 4534, 621, 1131, 581, 26700, 1524, 1287, 4534, 865, 9004, 5079, 630, 272, 264, 543, 630, 274, 1040, 8921, 267, 513, 8144, 1131, 1847, 667, 9128, 2476, 689, 31984, 267, 799, 4769, 1405, 2049, 269, 1717, 267, 519, 2450, 1705, 1689, 267, 799, 6920, 513, 546, 7976, 780, 1015, 269, 769, 519, 6516, 540, 1318, 6906, 13235, 267, 7131, 12969, 338, 30494, 9474, 693, 667, 780, 2252, 5084, 815, 476, 275, 543, 24766, 815, 476, 277, 267, 799, 3259, 540, 8028, 2306, 7131, 13902, 547, 9474, 2496, 263, 272, 264, 476, 273, 265, 306, 304, 20670, 263, 277, 1040, 1403, 7131, 568, 13902, 547, 9474, 267, 1287, 7131, 568, 606, 15820, 269, 634, 9406, 21121, 16816, 3363, 14497, 3081, 602, 519, 1587, 540, 5084, 2053, 24766, 1590, 3160, 519, 3259, 540, 7131, 273, 269, 4595, 476, 275, 2608, 476, 277, 815, 476, 2190, 267, 7131, 1590, 581, 590, 304, 20670, 263, 2190, 1070, 799, 6971, 547, 476, 273, 265, 306, 304, 20670, 263, 277, 264, 538, 14724, 1106, 780, 1556, 269, 21540, 618, 7131, 568, 519, 13902, 20312, 10725, 540, 9474, 693, 661, 269, 6904, 6292, 540, 12415, 1281, 711, 723, 547, 581, 21412, 2496, 263, 275, 264, 16692, 267, 9460, 269, 9474, 568, 711, 1767, 547, 20312, 624, 7131, 267, 865, 596, 3112, 8263, 602, 16692, 543, 9460, 616, 21412, 269, 589, 292, 543, 18688, 616, 21412, 676, 4214, 269, 634, 824, 2798, 1131, 1106, 21412, 1318, 12730, 267, 609, 519, 7222, 5492, 523, 4926, 1373, 21412, 780, 1321, 269, 769, 6906, 8863, 305, 267, 744, 568, 593, 15679, 267, 543, 667, 568, 593, 10911, 865, 602, 2999, 295, 815, 2999, 305, 23077, 692, 2252, 28251, 815, 476, 275, 267, 21614, 815, 476, 277, 543, 27846, 815, 476, 275, 267, 1018, 568, 519, 3259, 540, 7131, 2496, 263, 274, 264, 476, 1556, 269, 898, 949, 711, 3100, 6654, 693, 1101, 602, 519, 1079, 12730, 616, 2147, 1317, 11298, 568, 711, 6252, 547, 8863, 269, 1717, 267, 596, 616, 2016, 835, 6292, 540, 7285, 21412, 267, 543, 1312, 12730, 2270, 5086, 681, 269, 4475, 267, 789, 616, 2147, 780, 763, 1697, 8167, 547, 1305, 909, 568, 281, 28251, 1315, 15679, 815, 21614, 1315, 10911, 269, 1656, 15679, 815, 476, 275, 1341, 476, 277, 815, 476, 1015, 563, 3383, 476, 275, 1315, 476, 277, 815, 476, 1015, 1315, 10911, 454, 275, 265, 10135, 815, 476, 2568, 454, 10135, 815, 476, 1428, 454, 7374, 815, 10911, 910, 19010, 815, 476, 1428, 910, 476, 275, 815, 476, 1556, 563, 10673, 1405, 7340, 547, 10208, 519, 3259, 540, 28251, 689, 519, 2427, 540, 519, 6906, 1317, 789, 616, 3168, 585, 7131, 780, 1724, 269, 634, 3444, 3296, 540, 513, 2834, 18158, 3568, 519, 15820, 540, 519, 18158, 269, 634, 3337, 540, 713, 3444, 3296, 568, 513, 630, 274, 264, 6906, 269, 1403, 519, 3444, 3296, 3568, 519, 15820, 267, 1287, 4952, 513, 7299, 6656, 540, 1957, 14253, 532, 998, 519, 1283, 540, 513, 18158, 269, 3143, 2339, 875, 596, 1899, 621, 909, 267, 519, 5011, 540, 519, 18158, 786, 1106, 513, 6906, 593, 519, 1957, 780, 1691, 269, 634, 32377, 540, 32077, 639, 23140, 4456, 12969, 693, 623, 263, 273, 267, 476, 1015, 1040, 1403, 519, 3830, 540, 519, 1899, 602, 3568, 15497, 25526, 568, 586, 815, 910, 343, 1341, 476, 274, 267, 1018, 568, 519, 3830, 540, 513, 1899, 602, 3568, 15497, 15444, 2496, 263, 272, 264, 586, 815, 1535, 910, 476, 272, 269, 634, 3515, 1590, 581, 13902, 267, 543, 602, 1797, 519, 9386, 540, 15444, 1590, 581, 476, 272, 1317, 519, 9386, 540, 25526, 568, 910, 272, 269, 901, 23352, 5079, 630, 274, 264, 543, 630, 275, 1040, 9717, 623, 263, 273, 267, 476, 272, 1070, 12990, 476, 273, 585, 1535, 538, 519, 1101, 3830, 543, 596, 1205, 586, 815, 476, 272, 267, 799, 568, 2953, 780, 1428, 269, 634, 10974, 540, 14622, 589, 543, 645, 540, 6906, 13235, 616, 589, 263, 274, 267, 476, 275, 264, 543, 645, 263, 274, 267, 476, 1321, 1040, 1403, 519, 1858, 540, 6906, 13235, 568, 476, 2190, 4009, 4559, 267, 1018, 1223, 581, 519, 10974, 540, 1448, 595, 2496, 263, 274, 264, 11196, 274, 267, 476, 279, 264, 9351, 540, 513, 6906, 568, 476, 272, 270, 273, 536, 554, 269, 634, 3490, 814, 513, 3259, 540, 476, 1321, 910, 476, 275, 815, 476, 279, 563, 263, 272, 270, 273, 7565, 279, 264, 327, 815, 476, 2190, 267, 865, 476, 275, 327, 815, 476, 2190, 543, 554, 815, 476, 277, 563, 763, 3791, 11282, 814, 547, 723, 606, 1535, 1871, 602, 568, 3670, 811, 610, 3670, 1447, 982, 476, 274, 269, 476, 274, 910, 476, 277, 815, 910, 274, 267, 865, 3903, 630, 274, 264, 1568, 780, 1626, 269, 1548, 616, 519, 10974, 540, 519, 4099, 543, 519, 3259, 540, 519, 8953, 540, 519, 5858, 6719, 676, 519, 3830, 1535, 273, 1341, 586, 273, 910, 476, 275, 343, 1341, 476, 279, 344, 1341, 476, 1556, 815, 476, 271, 2496, 263, 272, 264, 4099, 630, 273, 267, 910, 275, 264, 543, 519, 8953, 476, 274, 269, 1358, 616, 1818, 891, 811, 2352, 269, 1411, 991, 547, 27682, 713, 538, 3044, 1106, 630, 343, 910, 554, 264, 273, 1341, 630, 344, 910, 737, 264, 273, 815, 678, 273, 563, 2414, 798, 713, 267, 649, 991, 547, 2347, 519, 4009, 3267, 7466, 780, 343, 273, 1341, 586, 273, 910, 476, 275, 343, 1341, 476, 279, 344, 1341, 476, 1556, 815, 476, 271, 454, 2958, 4981, 281, 1535, 273, 910, 275, 343, 1341, 586, 273, 1341, 476, 279, 344, 1341, 476, 1556, 815, 476, 271, 454, 14814, 519, 10945, 281, 1535, 273, 910, 275, 343, 1341, 476, 275, 1341, 586, 273, 1341, 476, 279, 344, 1341, 476, 1626, 1341, 476, 1556, 815, 476, 271, 1341, 476, 275, 1341, 476, 1626, 454, 13678, 680, 1518, 281, 630, 343, 910, 476, 273, 264, 273, 1341, 630, 344, 1341, 476, 275, 264, 273, 1341, 476, 1556, 815, 476, 736, 454, 13678, 680, 1518, 281, 630, 343, 910, 476, 273, 264, 273, 1341, 630, 344, 1341, 476, 275, 264, 273, 815, 476, 280, 454, 3383, 519, 4099, 568, 630, 273, 267, 910, 275, 264, 543, 519, 8953, 568, 476, 274, 780, 2252, 596, 4769, 1405, 3314, 875, 547, 2347, 519, 4009, 267, 596, 1223, 723, 3323, 676, 1603, 606, 3830, 585, 3903, 630, 272, 1070, 9750, 621, 267, 543, 7487, 952, 596, 3893, 519, 1482, 3830, 269, 1403, 621, 729, 4636, 267, 621, 1131, 723, 1044, 513, 2339, 540, 4191, 267, 865, 952, 596, 3323, 609, 606, 11234, 3903, 267, 596, 1223, 723, 17429, 1027, 519, 2953, 835, 780, 1704, 269, 634, 5860, 540, 519, 1977, 3043, 18073, 3529, 568, 476, 4037, 273, 13532, 829, 12945, 11281, 269, 1403, 519, 17657, 540, 606, 1977, 3043, 18073, 3529, 814, 513, 18592, 540, 476, 275, 269, 276, 7397, 543, 519, 4463, 540, 519, 17657, 568, 476, 279, 7397, 267, 1018, 568, 519, 16977, 1297, 540, 13532, 540, 519, 17657, 2496, 263, 273, 264, 476, 280, 7597, 275, 269, 546, 815, 544, 1315, 966, 610, 546, 815, 544, 1315, 630, 7032, 2608, 678, 273, 2608, 554, 1040, 595, 815, 476, 273, 265, 7032, 265, 337, 865, 678, 815, 595, 1315 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3891, 1500, 1010, 2462, 5496, 26813, 538, 2962, 7260, 12603, 10434, 630, 2735, 279, 264, 538, 1909, 607, 17713, 30421, 828, 563, 1692, 7381, 729, 21142, 25599, 2006, 543, 1018, 729, 1010, 2597, 286, 21142, 25599, 2006, 781, 4463, 729, 476, 277, 262, 476, 272, 257, 16044, 500, 333, 535, 3264, 3264, 339, 25602, 526, 16044, 500, 333, 4736, 327, 3264, 30284, 610, 476, 6977, 16044, 500, 333, 524, 3264, 660, 20686, 332, 3264, 13700, 3264, 30284, 267, 1010, 2597, 729, 476, 15094, 16044, 500, 333, 533, 3378, 1495, 338, 610, 476, 4281, 16044, 500, 333, 737, 20686, 331, 3378, 23950, 3522, 332, 30284, 563, 3891, 4465, 555, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 27916, 2610, 1290, 9037, 630, 12626, 17983, 607, 851, 540, 834, 11403, 24717, 1315, 3864, 1315, 2296, 267, 9721, 267, 13677, 267, 21730, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 1724, 281, 5685, 3496, 11150, 538, 631, 1120, 619, 543, 21733, 29792, 692, 296, 269, 4985, 692, 1103, 519, 1158, 540, 12388, 619, 543, 4203, 29792, 630, 300, 26031, 1070, 14104, 2994, 1404, 513, 2565, 1909, 538, 8159, 519, 1967, 540, 513, 11834, 269, 634, 1797, 676, 799, 513, 2754, 23297, 547, 2508, 922, 11601, 666, 3648, 1764, 519, 2132, 593, 5092, 267, 1981, 4598, 267, 543, 2949, 2497, 540, 519, 4308, 269, 901, 3184, 12538, 883, 1585, 14104, 2994, 6964, 538, 631, 26031, 8852, 267, 741, 5383, 543, 11393, 267, 543, 875, 789, 18595, 710, 609, 3656, 9270, 780, 2862, 269, 22418, 3690, 13905, 692, 3080, 1455, 1505, 540, 7616, 631, 26031, 8852, 3322, 1210, 6666, 14425, 19017, 676, 519, 16565, 2754, 269, 22418, 8852, 2709, 1896, 2640, 1519, 16134, 267, 3432, 267, 543, 22979, 540, 19479, 269, 1717, 267, 9001, 1804, 5666, 540, 6666, 949, 632, 10968, 2200, 602, 1223, 6382, 581, 1031, 585, 10512, 9276, 267, 1382, 543, 1646, 267, 610, 9878, 27993, 547, 23265, 269, 13751, 8480, 1590, 2327, 10220, 609, 1022, 10858, 9993, 593, 3854, 856, 6503, 338, 267, 2523, 950, 7231, 609, 3444, 31215, 8852, 780, 7656, 269, 14351, 16519, 21178, 1442, 1546, 1023, 692, 5194, 2442, 14104, 4640, 14122, 27300, 8843, 540, 519, 10536, 337, 781, 6006, 585, 1346, 540, 519, 3077, 2754, 269, 4746, 1634, 607, 513, 6006, 23396, 267, 713, 1935, 2636, 519, 23138, 547, 2057, 1019, 6137, 883, 922, 6666, 14425, 1247, 3246, 519, 22673, 609, 1761, 26700, 7071, 952, 519, 10536, 337, 781, 6006, 15824, 1134, 2022, 20675, 9146, 269, 11048, 267, 25359, 538, 519, 6006, 2344, 1522, 1291, 547, 10462, 3823, 519, 4890, 1871, 4607, 676, 519, 22673, 269, 5047, 267, 25710, 6412, 2152, 949, 8451, 950, 1079, 15597, 21775, 10909, 19467, 267, 26089, 6297, 22987, 689, 1312, 9746, 543, 3656, 5380, 780, 4353, 269, 32124, 5685, 3496, 692, 5719, 23336, 14104, 4564, 1776, 1713, 2707, 540, 7482, 585, 631, 26031, 8852, 269, 645, 6563, 902, 666, 1491, 1082, 3029, 267, 1519, 2165, 12029, 267, 2847, 6295, 5491, 6703, 267, 7554, 267, 543, 803, 3960, 29516, 7963, 269, 30855, 7963, 666, 24244, 7024, 585, 9698, 9520, 282, 2705, 267, 7050, 24228, 4679, 2883, 1981, 543, 949, 1267, 538, 4389, 5491, 16863, 269, 3958, 267, 524, 8576, 1218, 7923, 547, 891, 22440, 1223, 20818, 10148, 593, 519, 24673, 11769, 781, 4238, 269, 898, 568, 1898, 585, 3656, 31548, 547, 23939, 2689, 10211, 11650, 543, 25034, 999, 547, 2061, 2104, 7526, 543, 2149, 7218, 262, 4690, 780, 309, 269, 28628, 5685, 3496, 692, 20812, 8455, 14104, 10905, 2609, 540, 1312, 9698, 543, 7963, 267, 5356, 8112, 547, 6105, 3238, 538, 631, 26031, 8852, 269, 22417, 1043, 7554, 267, 9053, 13632, 267, 543, 824, 10316, 19736, 1683, 1615, 340, 619, 609, 7525, 1569, 547, 3854, 1247, 26587, 9520, 2924, 2147, 547, 1346, 2404, 609, 2901, 7963, 610, 9698, 7405, 269, 3245, 513, 3656, 29459, 267, 10316, 1710, 4545, 902, 2154, 9488, 12319, 1813, 547, 741, 6988, 543, 2189, 2934, 269, 5015, 267, 6042, 12044, 971, 2883, 2472, 4268, 2066, 22875, 267, 1818, 3486, 8852, 1256, 811, 6946, 780, 9654, 269, 10765, 12367, 543, 8865, 5525, 692, 7021, 519, 2250, 1906, 1296, 267, 972, 814, 1044, 513, 18476, 6521, 2509, 4244, 14104, 2409, 267, 971, 607, 7715, 4206, 27448, 267, 3355, 11777, 17008, 630, 2975, 11675, 1070, 543, 4357, 1747, 906, 269, 1452, 5499, 4485, 5512, 4130, 3549, 547, 6318, 8101, 18304, 1510, 13461, 8185, 593, 2757, 12948, 5238, 610, 1857, 6990, 269, 16480, 267, 22124, 5001, 616, 26545, 17331, 547, 3715, 2312, 4808, 1472, 891, 3209, 2553, 8015, 4145, 936, 20090, 4027, 543, 12611, 6604, 780, 2690, 3236, 267, 1855, 5586, 1090, 267, 513, 20261, 813, 17354, 267, 6659, 1269, 272, 269, 278, 5479, 538, 835, 540, 519, 4102, 594, 4596, 338, 2479, 5342, 538, 2038, 476, 1001, 279, 269, 1717, 267, 5185, 609, 20387, 2604, 689, 772, 2529, 269, 1530, 15247, 16510, 8189, 630, 306, 4488, 264, 13753, 10246, 3101, 19374, 540, 19736, 4031, 267, 1855, 5586, 1090, 6038, 4956, 547, 10205, 519, 1788, 543, 32479, 9520, 269, 901, 2013, 19156, 519, 2956, 540, 9363, 32448, 540, 9687, 3656, 10850, 4478, 6932, 14104, 2994, 538, 631, 26031, 8852, 780, 23997, 269, 10390, 692, 19226, 3496, 2994, 13822, 513, 4105, 5057, 540, 3811, 631, 26031, 9388, 267, 11562, 13589, 2673, 3007, 689, 782, 8639, 269, 1635, 26762, 519, 16082, 540, 1114, 14104, 3681, 543, 26936, 873, 609, 7218, 262, 6859, 267, 3656, 4648, 666, 3565, 25006, 547, 519, 2318, 6364, 540, 8852, 269, 1306, 1007, 14104, 18817, 3136, 547, 10836, 267, 865, 1932, 786, 519, 991, 585, 4230, 1393, 3656, 5583, 10188, 519, 1950, 5251, 540, 631, 26031, 8804, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 300, 1120, 619, 1299, 21733, 29792, 454, 288, 22082, 538, 5010, 3656, 5796, 267, 938, 631, 26031, 2259, 568, 513, 1379, 5264, 540, 12600, 267, 1950, 631, 26031, 2534, 543, 9746, 28007, 6927, 269, 1284, 1174, 938, 7817, 779, 4213, 543, 723, 519, 2702, 547, 14650, 513, 4308, 547, 5555, 1294, 621, 998, 16900, 538, 513, 12905, 6073, 563, 5978, 2319, 814, 5249, 593, 930, 540, 519, 1034, 4101, 3444, 31215, 543, 6469, 9388, 267, 609, 513, 2178, 5823, 531, 1445, 5466, 782, 540, 938, 7817, 779, 3656, 4170, 267, 5916, 609, 2620, 9431, 543, 2344, 1620, 563, 763, 674, 3305, 1443, 2478, 18046, 543, 23965, 593, 513, 2039, 540, 2671, 6718, 543, 10697, 6718, 8852, 2066, 513, 3099, 540, 1870, 9922, 267, 5473, 4357, 543, 1857, 7396, 3549, 267, 971, 607, 7966, 320, 543, 1072, 267, 10685, 267, 8652, 1379, 267, 3282, 543, 3154, 267, 16669, 267, 2069, 267, 1483, 10040, 267, 1344, 2029, 267, 552, 19645, 267, 1376, 13522, 267, 5989, 267, 4070, 267, 2883, 2533, 267, 31076, 543, 3377, 2923, 267, 7658, 1260, 267, 3092, 563, 30789, 538, 2247, 519, 5996, 565, 3176, 543, 15491, 2470, 540, 959, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 32045, 1315, 631, 1120, 619, 1299, 21733, 29792, 1315, 5685, 3496, 11150, 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, 5020, 666, 581, 9157, 3006, 267, 543, 621, 781, 3339, 547, 1745, 16397, 676, 782, 519, 1919, 8345, 1472, 721, 269, 3807, 899, 875, 649, 723, 2168, 1072, 267, 649, 849, 723, 1945, 1572, 834, 11365, 1072, 2437, 799, 4016, 547, 938, 3929, 267, 5626, 267, 543, 1514, 1134, 5630, 269, 898, 5540, 875, 649, 1589, 267, 1745, 267, 543, 957, 267, 543, 2337, 3313, 875, 649, 6023, 2566, 267, 9305, 547, 1866, 267, 543, 1118, 5079, 780, 15919, 267, 1004, 3068, 7965, 538, 741, 2729, 602, 949, 1860, 741, 2790, 1072, 269, 1452, 2042, 1223, 581, 4743, 8909, 267, 14221, 267, 14126, 267, 610, 1175, 2348, 8373, 12003, 609, 3232, 4247, 269, 1879, 713, 4523, 267, 6158, 827, 891, 4606, 609, 1866, 945, 1174, 1018, 789, 616, 2469, 998, 666, 2731, 948, 256, 2334, 781, 950, 1895, 3797, 2501, 883, 1404, 780, 27026, 3797, 568, 513, 1826, 540, 2126, 1141, 513, 1507, 1895, 540, 1004, 2743, 5781, 609, 513, 8036, 13309, 547, 1865, 741, 4555, 267, 4606, 267, 543, 2833, 269, 1358, 960, 1927, 607, 513, 2319, 547, 1489, 1142, 824, 543, 1451, 1007, 1983, 547, 4383, 741, 4664, 1732, 269, 6056, 540, 621, 899, 1373, 851, 540, 513, 5026, 2319, 910, 3025, 814, 1114, 9342, 543, 12755, 267, 855, 789, 2097, 1927, 547, 2259, 267, 5000, 835, 1776, 267, 543, 6038, 1332, 607, 1312, 2043, 543, 513, 7104, 1770, 780, 5331, 952, 8861, 1185, 1044, 4743, 1360, 14221, 1354, 1200, 2462, 6881, 693, 1153, 269, 5502, 540, 7231, 609, 1346, 4606, 782, 676, 9887, 267, 1352, 1140, 1742, 1895, 3797, 7886, 269, 1703, 267, 1352, 10742, 824, 3214, 7680, 2147, 19048, 543, 8843, 1200, 1378, 12194, 609, 873, 269, 1635, 6947, 547, 1866, 262, 2984, 543, 2994, 267, 8861, 25395, 2553, 547, 9350, 1524, 543, 5818, 1200, 6015, 269, 2701, 30877, 1352, 3884, 1405, 4805, 538, 4743, 8401, 267, 543, 602, 2306, 1200, 1745, 811, 6899, 6679, 909, 827, 1200, 32370, 269, 3683, 942, 267, 7064, 547, 1895, 3797, 267, 8861, 7959, 1454, 811, 5423, 543, 1447, 19225, 2989, 827, 6340, 538, 4395, 540, 1200, 15032, 780, 1103, 4872, 899, 24607, 267, 972, 616, 1082, 5363, 2200, 2139, 5356, 17519, 1895, 11257, 2966, 4481, 585, 12322, 899, 596, 269, 5213, 1405, 19292, 547, 3914, 856, 952, 596, 2479, 1265, 3054, 17596, 2576, 547, 2911, 547, 610, 16462, 5583, 593, 5883, 707, 2790, 1072, 269, 5457, 267, 2921, 1416, 540, 707, 2247, 568, 1175, 607, 1271, 607, 12391, 585, 707, 1560, 1107, 543, 6998, 585, 948, 2982, 4222, 267, 711, 8467, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 15253, 6842, 622, 6828, 10657, 281, 10076, 2657, 10298, 538, 24607, 454, 14188, 596, 585, 9683, 24607, 267, 1141, 554, 755, 548, 543, 11861, 548, 540, 4948, 1272, 1522, 1491, 513, 17167, 593, 938, 2790, 1072, 269, 1809, 596, 1810, 1406, 991, 547, 2951, 998, 1272, 779, 2591, 4805, 269, 2060, 2790, 1072, 1895, 3797, 538, 24607, 267, 596, 666, 1569, 513, 11215, 2146, 602, 17358, 707, 9620, 543, 7727, 513, 2922, 543, 5150, 2230, 865, 602, 596, 666, 2263, 873, 563, 4263, 519, 2295, 540, 24607, 779, 2790, 1072, 2533, 6013, 513, 7347, 8207, 585, 3246, 2298, 13508, 543, 1895, 3797, 602, 20674, 2043, 3035, 3666, 543, 9716, 269, 6787, 596, 2461, 10010, 609, 4160, 267, 4965, 267, 610, 1022, 824, 2790, 1072, 4145, 267, 24607, 779, 11967, 2790, 1072, 13508, 2533, 2285, 596, 513, 4195, 1505, 540, 8236, 543, 3168, 1310, 1434, 2790, 1072, 563, 10673, 1406, 1577, 2790, 1072, 4145, 1764, 707, 1699, 1134, 5630, 269, 6875, 519, 1101, 4305, 2509, 513, 18668, 543, 8902, 1272, 2221, 676, 3695, 519, 2790, 1072, 1895, 3797, 1904, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 303, 32707, 652, 267, 10000, 318, 303, 18150, 19638, 14851, 630, 30761, 6983, 3326, 573, 699, 551, 263, 10000, 318, 303, 18150, 15892, 453, 453, 258, 30761, 6745, 641, 284, 10000, 318, 303, 18150, 318, 312, 454, 453, 453, 30761, 318, 309, 601, 6290, 314, 272, 316, 15871, 30761, 318, 309, 601, 6290, 314, 272, 6540, 453, 19197, 630, 30761, 6983, 3326, 573, 699, 551, 20573, 1144, 318, 303, 18150, 15892, 453, 453, 30761, 318, 309, 601, 6290, 314, 272, 316, 15871, 30761, 318, 309, 601, 6290, 314, 272, 6540, 453, 453, 16482, 453, 453, 28744, 630, 20657, 728, 318, 6570, 3287, 9984, 263, 303, 18150, 318, 310, 5954, 2260, 273, 4917, 453, 14851, 630, 20657, 728, 318, 6570, 3287, 9984, 263, 303, 18150, 318, 310, 5954, 2260, 273, 264, 283, 271, 2187, 4848, 453, 10000, 318, 303, 18150, 16000, 284, 271, 454, 453, 453, 19197, 630, 20657, 728, 318, 6570, 3287, 9984, 263, 303, 18150, 318, 310, 5954, 2260, 273, 264, 285, 276, 3199, 2187, 4848, 453, 10000, 318, 303, 18150, 16000, 284, 276, 3199, 454, 453, 28432, 912, 4848, 453, 10000, 318, 303, 18150, 16000, 284, 20657, 728, 318, 6570, 3287, 9984, 263, 303, 18150, 318, 310, 5954, 2260, 273, 5148, 1948, 14045, 519, 2022, 542, 540, 519, 1657, 31784, 2390, 16580, 540, 3440, 609, 2539, 31784, 454, 453, 13537, 630, 10000, 318, 303, 18150, 16000, 2020, 4848, 454, 3698, 6430, 318, 6570, 3287, 2187, 14851, 630, 30761, 318, 309, 601, 6290, 314, 271, 316, 285, 271, 17107, 453, 14851, 630, 306, 10547, 318, 23917, 314, 271, 316, 268, 30761, 16000, 285, 343, 2187, 4848, 453, 10000, 318, 303, 32707, 652, 284, 11831, 16000, 21147, 454, 453, 28432, 912, 4848, 453, 10000, 318, 303, 32707, 652, 284, 306, 10547, 318, 23917, 314, 271, 316, 24179, 343, 24179, 306, 10547, 318, 23917, 314, 271, 316, 268, 30761, 16000, 4917, 28768, 28432, 912, 453, 14851, 630, 30761, 16000, 285, 343, 2187, 4848, 453, 10000, 318, 303, 32707, 652, 284, 11831, 16000, 14870, 454, 453, 28432, 912, 4848, 453, 10000, 318, 303, 32707, 652, 24210, 5174, 718, 16000, 454, 14851, 630, 10000, 318, 303, 32707, 652, 266, 303, 18150, 318, 310, 5954, 285, 306, 10547, 318, 23917, 314, 271, 316, 2187, 453, 453, 10000, 318, 303, 32707, 652, 284, 306, 10547, 318, 23917, 314, 271, 316, 268, 303, 18150, 318, 310, 5954, 454, 453, 19197, 263, 10000, 318, 303, 32707, 652, 283, 271, 2187, 453, 453, 10000, 318, 303, 32707, 652, 284, 271, 454, 16596, 630, 10000, 318, 303, 32707, 652, 9239, 18524, 318, 2452, 30800, 0, 20701, 7078, 547, 1711, 513, 8849, 3060, 609, 835, 6456, 4494, 585, 6061, 519, 8106, 2473, 3036, 1966, 780, 17780, 593, 519, 561, 7699, 3009, 693, 454, 10059, 2517, 326, 603, 889, 2593, 14121, 25403, 14672, 333, 270, 4565, 984, 8276, 2120, 7933, 665, 270, 10177, 1456, 6230, 323, 692, 287, 10461, 281, 715, 2727, 880, 589, 3258, 19789, 692, 287, 323, 2570, 4293, 281, 9226, 476, 273, 269, 278, 267, 23290, 476, 278, 692, 20701, 454, 5814, 561, 12460, 6853, 607, 561, 7699, 692, 258, 1305, 678, 29025, 3681, 454, 1663, 320, 11482, 7699, 305, 29025, 263, 684, 17569, 318, 8873, 539, 4671, 340, 1255, 18989, 2020, 258, 1104, 23290, 15004, 454, 1663, 320, 269, 7528, 790, 2891, 25699, 5602, 1663, 320, 269, 7528, 790, 2891, 339, 25403, 15419, 258, 10471, 568, 2813, 547, 8597, 547, 519, 454, 258, 4170, 540, 1412, 306, 1729, 577, 2880, 294, 2784, 1304, 262, 1599, 538, 1412, 25699, 7055, 5035, 13096, 553, 564, 24998, 17107, 825, 1219, 6449, 8181, 9191, 1345, 17107, 1038, 1948, 1592, 540, 8913, 1255, 454, 1038, 1582, 21606, 815, 29129, 1038, 1948, 5352, 2866, 1239, 609, 476, 4968, 271, 5439, 454, 1038, 585, 1775, 538, 2039, 263, 271, 267, 476, 4968, 271, 267, 476, 272, 17107, 2018, 1948, 476, 273, 11378, 454, 2018, 1535, 815, 23290, 20120, 333, 263, 273, 2020, 2018, 1948, 476, 272, 3977, 454, 2018, 586, 815, 23290, 11053, 16428, 263, 272, 2020, 2018, 1948, 5173, 2473, 3036, 454, 2018, 952, 1535, 314, 271, 316, 2608, 1535, 314, 272, 316, 3436, 476, 271, 912, 3546, 586, 314, 271, 316, 815, 910, 272, 454, 2018, 3116, 912, 3546, 586, 314, 271, 316, 815, 476, 272, 692, 2018, 1582, 21606, 6910, 9230, 328, 267, 1535, 267, 586, 11723, 825, 1219, 6449, 1326, 14403, 9191, 1345, 267, 1883, 17107, 1038, 952, 1883, 2652, 834, 21653, 13426, 2018, 2132, 25754, 1535, 281, 7003, 4311, 21606, 2020, 1038, 2132, 1582, 21606, 314, 4486, 910, 476, 272, 6540, 323, 21648, 564, 815, 13096, 553, 564, 10797, 258, 1297, 540, 22813, 4559, 454, 11133, 17750, 318, 28493, 815, 476, 273, 454, 11133, 20189, 5200, 318, 28493, 815, 476, 736, 454, 11133, 318, 16059, 318, 28493, 815, 476, 272, 692, 258, 3818, 2000, 9707, 829, 1061, 1258, 454, 6447, 335, 815, 562, 333, 2529, 3225, 1113, 10797, 258, 1039, 6106, 454, 6447, 335, 11519, 5417, 3799, 333, 11482, 710, 541, 16325, 17750, 318, 28493, 267, 1003, 20189, 5200, 318, 28493, 4917, 6447, 335, 11519, 5417, 3799, 333, 11053, 534, 327, 15405, 6447, 335, 11519, 5417, 3799, 333, 11482, 710, 541, 16325, 20189, 5200, 318, 28493, 267, 1003, 318, 16059, 318, 28493, 11723, 258, 2530, 21205, 454, 29754, 6831, 761, 19118, 815, 562, 333, 269, 5960, 4488, 761, 19118, 10797, 258, 3060, 26519, 454, 30221, 518, 815, 562, 333, 2529, 1729, 577, 2880, 294, 2784, 1304, 263, 6447, 335, 267, 2530, 6831, 761, 19118, 994, 30221, 518, 269, 14048, 31948, 815, 476, 271, 269, 4905, 454, 30221, 518, 27982, 296, 614, 566, 815, 476, 1789, 454, 30221, 518, 11075, 28984, 5715, 1182, 815, 6936, 454, 30221, 518, 269, 14620, 846, 815, 6936, 454, 30221, 518, 11519, 30221, 5560, 21648, 564, 2020, 258, 1449, 519, 3060, 454, 343, 815, 23290, 11053, 16428, 263, 273, 2020, 343, 314, 271, 316, 815, 476, 271, 269, 276, 454, 343, 314, 272, 316, 815, 476, 271, 269, 276, 454, 2745, 263, 6447, 335, 11519, 3453, 3287, 11723, 343, 314, 271, 316, 815, 910, 271, 269, 276, 454, 343, 314, 272, 316, 815, 476, 271, 269, 276, 454, 2745, 263, 6447, 335, 11519, 3453, 3287, 11723, 343, 314, 271, 316, 815, 476, 271, 269, 276, 454, 343, 314, 272, 316, 815, 910, 271, 269, 276, 454, 2745, 263, 6447, 335, 11519, 3453, 3287, 11723, 343, 314, 271, 316, 815, 910, 271, 269, 276, 454, 343, 314, 272, 316, 815, 910, 271, 269, 276, 454, 2745, 263, 6447, 335, 11519, 3453, 3287, 264, 9239, 20701, 287, 16059, 1384, 258, 853, 27181, 294, 2784, 1304, 281, 2866, 454, 258, 1699, 5470, 815, 476, 271, 269, 276, 2641, 279, 2918, 279, 7830, 27843, 8064, 454, 258, 1699, 5470, 815, 476, 271, 269, 28307, 15094, 5881, 274, 5952, 278, 7830, 454, 258, 1699, 5470, 815, 476, 271, 269, 22550, 6812, 277, 2004, 278, 30130, 5379, 454, 258, 1699, 5470, 815, 476, 271, 269, 23056, 277, 4200, 276, 5038, 278, 6858, 5655, 454, 258, 1699, 5470, 815, 476, 271, 269, 25908, 2568, 280, 4817, 278, 279, 3583, 3953, 454, 258, 1699, 5470, 815, 476, 271, 269, 21172, 6245, 6321, 280, 275, 2641, 6860, 454, 258, 1699, 5470, 815, 476, 271, 269, 1960, 9083, 26482, 23310, 7761, 454, 258, 1699, 5470, 815, 476, 271, 269, 5002, 5952, 279, 276, 5780, 277, 4037, 280, 454, 258, 1699, 5470, 815, 476, 271, 269, 8146, 17168, 4037, 277, 21709, 278, 454, 258, 1699, 5470, 815, 476, 271, 269, 12293, 26493, 278, 6924, 18891, 273, 454, 258, 1699, 5470, 815, 476, 271, 269, 10204, 6812, 273, 279, 5952, 3607, 275, 1724, 454, 258, 1699, 5470, 815, 476, 271, 269, 13679, 279, 2537, 271, 6078, 271, 4649, 4281, 454, 258, 1699, 5470, 815, 476, 271, 269, 14065, 3445, 272, 6021, 275, 6507, 274, 9032, 454, 258, 1699, 5470, 815, 476, 271, 269, 15647, 277, 1321, 4792, 275, 4366, 278, 272, 454, 258, 1699, 5470, 815, 476, 271, 269, 14028, 279, 4391, 280, 3199, 31648, 276, 454, 258, 1699, 5470, 815, 476, 271, 269, 14631, 5325, 277, 7597, 278, 4962, 277, 9834, 454, 258, 1699, 5470, 815, 476, 271, 269, 14681, 24496, 280, 6434, 6795, 274, 5325, 454, 258, 1699, 5470, 815, 476, 271, 269, 14983, 32133, 10755, 276, 6434, 6860, 454, 258, 1699, 5470, 815, 476, 271, 269, 16825, 5881, 280, 21916, 4962, 280, 7871, 454, 258, 1699, 5470, 815, 476, 271, 269, 16409, 4792, 275, 14378, 6858, 280, 1839, 454, 258, 1699, 5470, 815, 476, 271, 269, 13970, 31620, 28318, 278, 5038, 8064, 454, 258, 1699, 5470, 815, 476, 271, 269, 13893, 16960, 4200, 273, 2568, 273, 5780, 454, 258, 1699, 5470, 815, 476, 271, 269, 16960, 30203, 275, 4391, 277, 2190, 4510, 454, 258, 1699, 5470, 815, 476, 271, 269, 15221, 280, 8287, 278, 6078, 32076, 4037, 454, 258, 1699, 5470, 815, 476, 271, 269, 9610, 7818, 30589, 6858, 274, 7597, 454, 258, 1699, 5470, 815, 476, 271, 269, 9610, 4962, 277, 5038, 277, 279, 2641, 8618, 454, 258, 1699, 5470, 815, 476, 271, 269, 16928, 4489, 31256, 6924, 280, 2764, 454, 258, 1699, 5470, 815, 476, 271, 269, 15946, 23841, 276, 2420, 278, 4343, 273, 454, 258, 1699, 5470, 815, 476, 271, 269, 15389, 2568, 273, 5002, 277, 1724, 3374, 454, 258, 1699, 5470, 815, 476, 271, 269, 15793, 279, 4792, 31172, 6795, 278, 4817, 454, 258, 853, 27181, 294, 2784, 1304, 281, 596, 723, 6603, 519, 5021, 1297, 540, 23200, 454, 258, 2866, 5470, 815, 476, 271, 269, 15793, 279, 4792, 31172, 6795, 278, 4817, 454, 268, 271, 269, 280, 4792, 277, 454, 314, 339, 25403, 6185, 19302, 307, 16428, 540, 2450, 476, 272, 6540, 476, 271, 269, 26605, 276, 454, 314, 339, 25403, 6185, 19302, 307, 16428, 540, 2450, 476, 272, 6540, 476, 271, 269, 4817, 275, 276, 454, 314, 339, 25403, 6185, 19302, 307, 16428, 540, 2450, 476, 272, 6540, 268, 272, 269, 271, 5392, 280, 454, 314, 339, 25403, 6185, 19302, 307, 16428, 540, 2450, 476, 272, 6540, 12163, 0, 5814, 19523, 7531, 3698, 1250, 318, 9792, 3799, 281, 703, 2187, 825, 1820, 2891, 3240, 318, 9792, 6238, 5602, 825, 1376, 815, 476, 271, 454, 825, 1247, 1376, 2999, 562, 912, 1038, 1820, 2891, 3240, 318, 9792, 7024, 15079, 2668, 8971, 263, 11034, 4917, 1038, 6556, 1376, 454, 1038, 1376, 6834, 476, 272, 7531, 15927, 318, 9792, 815, 2039, 263, 276, 994, 2745, 2891, 21653, 540, 2462, 2039, 568, 15079, 25466, 2668, 8971, 4433, 903, 3052, 1115, 1125, 1993, 6357, 580, 318, 9792, 21875, 258, 9041, 815, 3403, 2891, 1467, 476, 1428, 15419, 15927, 8217, 815, 11713, 1721, 1130, 538, 2462, 318, 9792, 912, 825, 2462, 8217, 6910, 263, 1998, 994, 2745, 2891, 21653, 540, 2462, 1592, 568, 15079, 25466, 2668, 8971, 4433, 903, 3052, 1115, 1125, 1993, 6357, 580, 8217, 21875, 2745, 2891, 268, 257, 2608, 476, 2412, 994, 3240, 10734, 580, 318, 9792, 815, 1250, 318, 9792, 263, 276, 994, 2745, 263, 10113, 30044, 10734, 580, 318, 9792, 4917, 2745, 2891, 21653, 540, 1250, 2462, 2039, 568, 15079, 25466, 2668, 8971, 4433, 903, 3052, 1115, 1125, 1993, 30044, 10734, 580, 318, 9792, 4297, 2020, 3240, 10734, 580, 8217, 815, 11713, 258, 9041, 815, 3403, 2891, 1467, 476, 2767, 5602, 1721, 1130, 538, 1250, 10734, 580, 318, 9792, 912, 825, 1948, 9041, 815, 3403, 2891, 1467, 476, 3066, 910, 538, 2427, 585, 8520, 5602, 825, 1250, 10734, 580, 8217, 6910, 263, 1998, 994, 2745, 2891, 21653, 540, 1250, 2462, 1592, 568, 15079, 25466, 2668, 8971, 4433, 903, 3052, 1115, 1125, 1993, 30044, 10734, 580, 8217, 21875, 2745, 30044, 10734, 580, 318, 9792, 994, 2745, 30044, 10734, 580, 8217, 994, 2745, 2891, 268, 257, 2608, 476, 2412, 994, 2745, 2891, 31467, 1586, 286, 5602, 1721, 1775, 538, 1250, 10734, 580, 318, 9792, 912, 825, 1820, 2891, 328, 568, 15079, 2668, 8971, 9217, 11723, 2745, 6357, 580, 318, 9792, 994, 1721, 795, 538, 2462, 318, 9792, 912, 825, 1820, 2891, 329, 568, 15079, 2668, 8971, 27203, 4917, 0, 5035, 31509, 1479, 24998, 2187, 825, 1379, 5334, 1830, 815, 834, 26104, 5016, 825, 1219, 6449, 8181, 9191, 1345, 267, 1118, 267, 3902, 2187, 1038, 1582, 6230, 820, 815, 1118, 454, 1038, 1582, 269, 23748, 815, 3902, 454, 1038, 1582, 269, 517, 815, 8771, 692, 825, 1219, 6467, 318, 517, 4311, 2187, 1038, 1582, 269, 517, 815, 6936, 7531, 5287, 6229, 815, 31509, 1479, 2891, 298, 523, 6229, 2580, 476 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 264, 11468, 18737, 272, 8079, 1948, 1721, 1003, 568, 513, 1297, 476, 7884, 4467, 618, 676, 595, 17155, 2443, 5988, 476, 2918, 267, 476, 1001, 272, 7711, 476, 1015, 281, 6349, 993, 692, 277, 269, 31218, 5892, 5816, 3022, 827, 713, 5741, 25586, 11015, 936, 476, 276, 1296, 3516, 267, 1210, 12019, 325, 4288, 543, 5124, 269, 1109, 901, 568, 1250, 1935, 1210, 23285, 607, 513, 2241, 4052, 3635, 585, 15431, 6540, 303, 532, 3724, 676, 5741, 25586, 281, 1966, 476, 4649, 630, 15771, 303, 264, 1107, 10370, 577, 7758, 2338, 1923, 30338, 781, 5816, 2443, 5239, 476, 866, 267, 476, 1001, 275, 7711, 476, 279, 281, 6734, 993, 692, 8620, 513, 1863, 3896, 610, 5816, 693, 31964, 2593, 269, 0, 258, 2052, 2576, 2285, 803, 513, 20726, 593, 6029, 1269, 7268, 331, 2254, 533, 31046, 1422, 1633, 31046, 630, 335, 31046, 1422, 1729, 31046, 7117, 4297, 31046, 1422, 1729, 31046, 1422, 331, 2254, 7117, 1422, 25406, 533, 31046, 1422, 3271, 31046, 1422, 331, 2254, 7117, 259, 2496, 296, 723, 547, 1397, 602, 1079, 7623, 6898, 616, 6697, 1510, 1210, 5168, 7515, 269, 594, 4318, 269, 3230, 7268, 331, 2254, 533, 31046, 1422, 1633, 31046, 630, 335, 31046, 1422, 1729, 31046, 7117, 4297, 31046, 1422, 1729, 31046, 1422, 331, 2254, 7117, 1422, 1422, 25406, 1422, 533, 31046, 1422, 3271, 31046, 1422, 331, 2254, 7117, 9681, 296, 1101, 1376, 856, 6031, 519, 2451, 1688, 2427, 568, 6697, 547, 3230, 7268, 331, 2254, 533, 31046, 1422, 1633, 31046, 22570, 331, 2254, 533, 31046, 1422, 3271, 31046, 7117, 4297, 31046, 1422, 1729, 31046, 1422, 331, 2254, 7117, 2330, 676, 29943, 4031, 780, 9202, 649, 666, 15814, 6695, 331, 2254, 533, 2330, 543, 1205, 30967, 7268, 331, 2254, 533, 31046, 1422, 1633, 31046, 1422, 331, 2254, 533, 9385, 282, 1422, 3271, 31046, 22570, 331, 2254, 533, 31046, 1422, 1633, 31046, 7117, 4297, 31046, 1422, 1729, 31046, 1422, 331, 2254, 7117, 9681, 3528, 519, 7329, 11391, 582, 550, 3959, 267, 649, 1205, 3230, 7268, 331, 2254, 533, 31046, 1422, 1633, 31046, 1422, 331, 2254, 533, 264, 1422, 1422, 25406, 1422, 1422, 331, 2254, 533, 2330, 1818, 519, 3948, 3230, 7268, 331, 2254, 533, 1422, 3271, 31046, 22570, 331, 2254, 533, 31046, 1422, 1633, 31046, 7117, 4297, 31046, 1422, 1729, 31046, 1422, 331, 2254, 7117, 9681, 1607, 568, 1141, 1250, 3308, 15717, 2731, 2982, 1317, 4376, 594, 2097, 909, 609, 15920, 803, 1394, 547, 519, 3312, 3948, 269, 594, 723, 20240, 1141, 594, 6415, 12758, 609, 513, 5168, 3349, 267, 594, 1175, 666, 1405, 1294, 1022, 7575, 609, 30424, 4031, 269, 594, 993, 711, 3168, 547, 723, 621, 12193, 585, 803, 267, 1175, 6148, 513, 20726, 267, 610, 1079, 267, 1131, 7494, 948, 780, 1892, 670, 842, 281, 946, 519, 1249, 602, 1269, 288, 29540, 645, 315, 25406, 22570, 331, 2254, 589, 9385, 3271, 645, 259, 543, 946, 632, 21546, 781, 4031, 269, 9484, 476, 1704, 267, 476, 1708, 272, 693, 476, 736, 281, 1724, 454, 1892, 1684, 596, 917, 519, 10338, 4031, 286, 1269, 288, 315, 3271, 630, 288, 1422, 1633, 645, 7751, 543, 1269, 288, 315, 1633, 630, 288, 315, 3271, 645, 7751, 616, 1312, 6697, 547, 1269, 288, 10608, 9484, 476, 1704, 267, 476, 1708, 272, 693, 476, 736, 281, 2420, 454, 1892, 1924, 594, 1185, 4280, 1250, 7548, 827, 10338, 267, 855, 646, 1767, 10338, 1131, 711, 960, 1317, 540, 519, 2258, 725, 269, 1717, 594, 3576, 513, 1900, 1394, 547, 1205, 930, 1426, 543, 729, 2111, 547, 946, 29943, 4031, 547, 1491, 1416, 540, 519, 9018, 1034, 29943, 543, 1287, 1031, 632, 2849, 1146, 781, 547, 2417, 2736, 621, 1524, 269, 9484, 476, 1704, 267, 476, 1708, 272, 693, 476, 2641, 281, 1015, 454, 1892, 1403, 596, 6460, 1312, 6286, 547, 771, 329, 17313, 267, 609, 930, 5187, 2305, 596, 1205, 2330, 263, 335, 1422, 3271, 630, 335, 315, 1633, 1422, 10864, 7117, 4297, 1422, 3271, 1422, 10864, 7117, 2330, 296, 1131, 2303, 17265, 519, 3601, 540, 771, 329, 4233, 585, 519, 1985, 1900, 269, 9484, 476, 1704, 267, 476, 1708, 272, 693, 476, 2641, 281, 7918, 454, 1892, 1411, 991, 547, 2671, 519, 1592, 540, 9266, 5973, 1878, 596, 2811, 4847, 547, 946, 269, 9484, 476, 1240, 267, 476, 1708, 272, 693, 476, 271, 281, 2420, 692, 2330, 7268, 331, 2254, 533, 1422, 3271, 31046, 22570, 331, 2254, 533, 31046, 1422, 1633, 31046, 7117, 4297, 31046, 1422, 1729, 31046, 1422, 331, 2254, 7117, 11138, 1422, 331, 2254, 22570, 331, 2254, 533, 1422, 3271, 31046, 22570, 331, 2254, 533, 31046, 1422, 1633, 31046, 7117, 4297, 315, 3271, 1422, 331, 2254, 7117, 11138, 630, 335, 315, 1633, 630, 335, 315, 3271, 1422, 331, 2254, 7117, 4297, 315, 3271, 1422, 331, 2254, 7117, 11138, 630, 335, 315, 3271, 1422, 331, 2254, 7117, 9385, 1633, 630, 335, 315, 3271, 1422, 331, 2254, 7117, 315, 3271, 315, 331, 2254, 7117, 9385, 315, 533, 315, 3271, 1422, 331, 2254, 7117, 11138, 2330, 0, 763, 1353, 10274, 585, 713, 2259, 7688, 666, 581, 1336, 693, 1384, 290, 22511, 519, 4484, 602, 4564, 519, 1655, 610, 2953, 2626, 269, 1403, 1022, 540, 707, 4267, 941, 4636, 267, 979, 1394, 543, 1353, 519, 4143, 3296, 540, 519, 7223, 2689, 780, 272, 269, 634, 8360, 834, 16341, 1297, 7132, 476, 736, 257, 568, 519, 1482, 607, 454, 272, 269, 795, 1341, 476, 736, 454, 273, 269, 795, 1107, 476, 736, 454, 274, 269, 795, 6398, 476, 736, 454, 273, 269, 21414, 281, 513, 1341, 476, 273, 6357, 264, 1107, 524, 952, 513, 815, 476, 276, 267, 536, 815, 476, 274, 267, 543, 524, 815, 476, 273, 454, 272, 269, 476, 278, 454, 273, 269, 476, 280, 454, 274, 269, 476, 1015, 454, 275, 269, 476, 1556, 454, 274, 269, 16534, 585, 1990, 281, 476, 3953, 1341, 1107, 345, 815, 476, 1321, 454, 272, 269, 476, 736, 454, 273, 269, 1107, 1321, 454, 274, 269, 476, 1321, 454, 275, 269, 476, 736, 454, 275, 269, 634, 8167, 834, 320, 568, 547, 536, 568, 607, 476, 274, 568, 547, 476, 277, 257, 666, 581, 6719, 607, 454, 272, 269, 513, 1341, 536, 815, 476, 274, 1341, 476, 277, 454, 273, 269, 513, 6398, 536, 815, 476, 274, 6398, 476, 277, 1341, 476, 3393, 454, 274, 269, 513, 263, 274, 264, 1341, 536, 263, 277, 994, 276, 269, 16534, 585, 1142, 4756, 563, 1892, 586, 1341, 575, 815, 476, 1321, 543, 476, 273, 344, 1341, 476, 274, 326, 815, 476, 1626, 454, 272, 269, 575, 815, 476, 1428, 267, 586, 815, 2443, 274, 454, 273, 269, 575, 815, 476, 276, 267, 586, 815, 476, 278, 454, 274, 269, 575, 815, 476, 272, 267, 586, 815, 476, 1556, 454, 275, 269, 575, 815, 1107, 279, 267, 586, 815, 476, 736, 454, 272, 269, 1107, 3393, 326, 454, 273, 269, 476, 3393, 326, 454, 274, 269, 476, 3393, 326, 273, 454, 275, 269, 476, 13670, 326, 454, 278, 269, 16265, 847, 912, 272, 269, 1107, 15996, 454, 273, 269, 1107, 1789, 454, 274, 269, 476, 1789, 454, 275, 269, 476, 15996, 454, 279, 269, 25092, 281, 630, 326, 274, 7565, 326, 1321, 994, 272, 269, 575, 1700, 274, 454, 273, 269, 575, 1428, 454, 274, 269, 575, 1700, 1428, 454, 275, 269, 575, 3607, 454, 1892, 575, 273, 1341, 575, 327, 1341, 554, 273, 1341, 476, 274, 326, 273, 1341, 476, 275, 724, 1341, 476, 274, 327, 273, 21591, 272, 269, 476, 273, 326, 273, 1341, 476, 274, 724, 1341, 476, 273, 327, 273, 454, 273, 269, 476, 273, 326, 273, 1341, 476, 276, 724, 1341, 476, 275, 327, 273, 454, 274, 269, 476, 275, 326, 273, 1341, 476, 276, 724, 1341, 476, 275, 327, 273, 454, 275, 269, 476, 275, 326, 273, 1341, 476, 274, 724, 1341, 476, 273, 327, 273, 454, 1015, 269, 25092, 912, 1892, 476, 274, 327, 1107, 476, 273, 332, 454, 1892, 6398, 476, 273, 327, 1341, 544, 454, 272, 269, 476, 276, 327, 273, 1341, 476, 274, 332, 273, 454, 273, 269, 476, 277, 327, 273, 327, 332, 1107, 476, 273, 332, 273, 454, 274, 269, 476, 277, 327, 273, 1341, 476, 276, 327, 332, 1341, 476, 273, 332, 273, 454, 275, 269, 476, 277, 327, 273, 1341, 476, 275, 327, 332, 1341, 476, 273, 332, 273, 454, 1556, 269, 16748, 281, 1535, 273, 1341, 476, 275, 343, 1107, 476, 1321, 454, 272, 269, 630, 273, 343, 273, 1341, 476, 272, 1341, 476, 277, 7565, 1700, 343, 273, 1341, 476, 274, 343, 1107, 476, 273, 994, 273, 269, 630, 343, 1341, 476, 277, 7565, 343, 1107, 476, 273, 994, 274, 269, 630, 343, 1341, 476, 275, 7565, 343, 1341, 476, 274, 994, 275, 269, 630, 343, 273, 1341, 476, 273, 7565, 343, 1700, 273, 1341, 476, 275, 994, 1321, 269, 21079, 547, 9803, 2474, 912, 272, 269, 1535, 1107, 476, 273, 454, 273, 269, 9041, 454, 1724, 269, 25092, 912, 1691, 269, 19147, 912, 1428, 269, 6904, 3830, 568, 6719, 676, 519, 1739, 3113, 888, 272, 269, 476, 273, 343, 1341, 586, 815, 476, 271, 454, 273, 269, 1535, 273, 1341, 476, 272, 815, 476, 271, 454, 274, 269, 1535, 1341, 586, 815, 476, 276, 454, 275, 269, 476, 273, 343, 1341, 586, 815, 476, 278, 454, 1626, 269, 4635, 513, 1297, 13306, 609, 5011, 13042, 476, 272, 998, 476, 277, 267, 1018, 568, 519, 5506, 540, 18530, 513, 476, 274, 610, 513, 476, 275, 888, 272, 269, 476, 273, 538, 476, 275, 454, 273, 269, 476, 272, 538, 476, 274, 454, 274, 269, 476, 273, 538, 476, 279, 454, 275, 269, 476, 272, 538, 476, 280, 0, 258, 1215, 1281, 835, 946, 519, 2274, 770, 306, 638, 4100, 1599, 267, 594, 991, 513, 3802, 10843, 540, 12204, 692, 16829, 476, 280, 1296, 3516, 454, 278, 1789, 279, 14358, 454, 2008, 274, 1234, 18680, 454, 2008, 271, 11192, 700, 10105, 454, 2008, 274, 1234, 18680, 454, 31374, 1635, 912, 16829, 476, 280, 1296, 3516, 454, 1215, 798, 594, 1205, 873, 759, 1069, 611, 783, 338, 689, 713, 888, 16829, 476, 280, 1296, 3516, 454, 11289, 596, 865, 1454, 267, 713, 568, 1018, 594, 723, 1044, 7508, 2433, 994, 16829, 476, 280, 1296, 3516, 454, 1403, 596, 616, 2324, 609, 513, 1062, 540, 5276, 4834, 267, 971, 607, 7077, 4834, 267, 596, 3274, 1305, 909, 519, 5119, 1106, 540, 519, 1062, 540, 3830, 16547, 284, 321, 7316, 519, 14170, 538, 519, 589, 5119, 538, 1142, 4737, 616, 519, 1535, 11971, 267, 345, 10974, 540, 519, 2798, 596, 1616, 547, 3514, 267, 543, 519, 536, 6152, 568, 782, 476, 272, 781, 7868, 333, 4194, 3690, 2821, 10490, 264, 589, 2652, 3690, 2821, 10490, 264, 1210, 18007, 24965, 576, 907, 1403, 519, 1062, 814, 513, 2189, 3070, 267, 519, 2063, 6241, 3947, 519, 14170, 540, 519, 7077, 3830, 513, 1535, 1341, 536, 586, 1341, 524, 1990, 815, 476, 272, 269, 1411, 666, 1287, 4729, 519, 7077, 609, 2552, 712, 5522, 334, 274, 291, 543, 1331, 519, 2798, 1210, 29093, 274, 291, 2274, 770, 8293, 4100, 1773, 2033, 589, 2016, 7077, 3830, 609, 546, 284, 272, 769, 314, 11277, 13912, 284, 535, 20572, 318, 267, 586, 318, 267, 1990, 318, 316, 28701, 476, 276, 1535, 910, 476, 278, 586, 1341, 476, 275, 1990, 910, 476, 272, 282, 2637, 4733, 930, 4351, 630, 343, 11971, 264, 2418, 769, 314, 14862, 13912, 284, 533, 660, 338, 815, 15932, 18204, 518, 314, 24877, 276, 267, 476, 276, 9574, 2715, 277, 267, 476, 273, 348, 22049, 4855, 519, 7222, 1990, 2418, 865, 602, 630, 343, 11971, 267, 345, 264, 568, 593, 519, 7077, 769, 314, 10219, 13912, 284, 552, 336, 985, 815, 535, 28784, 314, 314, 272, 316, 3910, 1948, 314, 314, 273, 316, 3910, 1990, 316, 1299, 1315, 287, 533, 660, 338, 282, 769, 314, 14695, 13912, 284, 533, 660, 345, 338, 815, 1990, 1315, 269, 16534, 28784, 2652, 476, 271, 267, 1990, 316, 1299, 1315, 287, 552, 336, 985, 282, 769, 314, 14096, 13912, 284, 513, 815, 15012, 314, 335, 660, 338, 267, 533, 660, 345, 338, 267, 476, 273, 22049, 5410, 930, 6846, 547, 519, 2798, 547, 1847, 873, 1055, 540, 519, 3312, 7077, 769, 314, 12553, 13912, 284, 513, 815, 513, 1341, 15932, 18600, 314, 24877, 271, 269, 272, 267, 476, 271, 269, 272, 9574, 17435, 5014, 314, 320, 14963, 282, 5590, 909, 519, 2547, 10945, 1966, 589, 23373, 314, 9558 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9995, 344, 15168, 337, 731, 543, 6723, 774, 584, 869, 547, 2012, 855, 513, 1906, 269, 769, 476, 1960, 272, 267, 3627, 15917, 6229, 5697, 519, 1984, 607, 513, 4183, 538, 835, 540, 1010, 476, 18458, 2048, 332, 850, 10945, 685, 630, 10915, 2397, 1627, 277, 264, 538, 1010, 1433, 667, 691, 332, 3233, 476, 18458, 267, 799, 4440, 3773, 547, 922, 711, 9461, 1214, 563, 32178, 17713, 5112, 29247, 6592, 538, 476, 3707, 271, 602, 646, 1185, 1336, 693, 2547, 476, 1556, 27341, 10007, 1934, 855, 1100, 22285, 10007, 543, 602, 519, 1984, 729, 3592, 6157, 1175, 513, 5679, 12177, 630, 560, 2086, 532, 1984, 264, 585, 11013, 532, 17646, 7626, 543, 711, 513, 645, 27172, 5600, 630, 1721, 1159, 601, 1154, 1040, 634, 2262, 2048, 454, 298, 333, 752, 651, 8072, 568, 606, 2025, 5664, 2296, 2262, 585, 968, 560, 686, 651, 892, 610, 968, 28755, 1188, 6100, 29247, 2417, 3746, 2478, 1010, 2013, 676, 19696, 513, 25755, 18584, 476, 14681, 272, 267, 799, 646, 2829, 281, 968, 531, 2865, 6157, 13288, 547, 713, 2679, 267, 4408, 621, 607, 513, 5679, 12177, 1984, 6100, 21452, 513, 1906, 24319, 723, 5018, 602, 513, 22285, 6149, 729, 1336, 538, 519, 5757, 543, 8197, 2413, 13013, 7851, 3277, 547, 713, 1984, 607, 513, 2048, 289, 27172, 5600, 17483, 1607, 2022, 2488, 513, 26278, 3408, 540, 713, 1984, 543, 15109, 519, 1082, 3318, 7422, 1500, 827, 621, 936, 519, 2063, 476, 3199, 1296, 267, 930, 540, 799, 2408, 30137, 610, 693, 2547, 616, 1114, 2016, 519, 8574, 540, 942, 563, 267, 634, 645, 27172, 5600, 267, 29247, 779, 667, 691, 332, 3233, 630, 2457, 476, 23714, 1040, 681, 13034, 269, 29247, 476, 3707, 277, 267, 17823, 1399, 23867, 7797, 540, 11660, 6490, 528, 7701, 281, 26337, 267, 476, 28434, 267, 476, 29257, 630, 20684, 538, 5395, 658, 1040, 12676, 309, 12573, 13932, 563, 24730, 774, 584, 869, 630, 1960, 274, 1299, 476, 1220, 272, 1070, 774, 584, 869, 779, 667, 691, 332, 3233, 12660, 542, 267, 18686, 4964, 267, 3817, 476, 29848, 268, 27768, 454, 292, 878, 12920, 2044, 267, 4400, 667, 691, 332, 3233, 267, 2985, 476, 14695, 454, 302, 6113, 333, 766, 11752, 26337, 10406, 267, 476, 2735, 271, 2676, 263, 8269, 281, 12676, 309, 14838, 279, 2412, 1040, 9995, 344, 15168, 337, 731, 267, 476, 1960, 271, 268, 1220, 273, 267, 31790, 10466, 19510, 269, 16329, 1670, 30014, 13096, 553, 564, 1421, 630, 8269, 281, 12676, 309, 28071, 280, 5379, 1916, 9303, 7595, 4789, 267, 630, 1001, 279, 13211, 13233, 11595, 5903, 585, 4789, 267, 476, 6200, 4817, 279, 274, 630, 13233, 11595, 5903, 585, 4789, 1040, 630, 8269, 281, 12676, 309, 11740, 4792, 274, 1916, 1607, 17250, 568, 513, 2673, 6041, 630, 5976, 930, 3688, 14406, 856, 543, 1866, 3773, 264, 540, 835, 1101, 3812, 676, 8751, 3998, 1407, 538, 8061, 517, 26337, 3143, 269, 476, 274, 1107, 667, 691, 332, 3233, 17136, 689, 476, 2735, 276, 269, 634, 2978, 2454, 814, 1044, 6854, 519, 1482, 585, 15364, 563, 14197, 2070, 540, 519, 570, 514, 2996, 685, 7085, 689, 1657, 267, 1141, 519, 21233, 4991, 741, 1101, 2070, 540, 519, 30162, 540, 519, 27341, 10007, 543, 824, 2934, 563, 11900, 728, 519, 1984, 3294, 616, 693, 2547, 476, 277, 27341, 10007, 543, 513, 18921, 1540, 6149, 267, 607, 3254, 538, 519, 1657, 2048, 345, 7112, 539, 538, 685, 851, 540, 519, 17250, 269, 2986, 1719, 568, 606, 8343, 676, 519, 18103, 333, 766, 11752, 26337, 10406, 267, 538, 476, 2735, 271, 267, 17548, 602, 3330, 972, 616, 3670, 27341, 10007, 543, 1079, 4773, 540, 22285, 10007, 269, 898, 568, 2009, 602, 519, 1079, 4773, 540, 22285, 10007, 5219, 547, 676, 873, 630, 5308, 264, 723, 1044, 4330, 607, 1373, 1031, 585, 824, 5301, 676, 1866, 2094, 476, 2735, 271, 269, 901, 568, 2808, 2663, 538, 713, 2022, 563, 2304, 2254, 730, 2934, 3330, 519, 1984, 6029, 519, 6753, 540, 476, 277, 18200, 541, 853, 2158, 267, 1079, 6149, 609, 27061, 267, 519, 8868, 335, 527, 543, 519, 1984, 13675, 563, 763, 8868, 335, 527, 609, 513, 1065, 3176, 1216, 8868, 4949, 548, 12946, 6149, 799, 2982, 4191, 540, 24364, 5957, 563, 763, 2196, 1055, 689, 519, 1216, 20253, 601, 1131, 723, 1044, 513, 2110, 3845, 1394, 883, 519, 5211, 2725, 8283, 563, 288, 2110, 3845, 25318, 689, 519, 8868, 335, 527, 513, 2582, 2868, 539, 27341, 6149, 666, 581, 1336, 630, 18350, 8215, 2048, 272, 685, 593, 519, 17250, 1916, 3519, 3667, 783, 2070, 540, 27341, 6149, 476, 272, 538, 6935, 547, 519, 1292, 570, 514, 2996, 685, 7085, 563, 300, 677, 541, 12942, 476, 272, 3168, 19654, 563, 14303, 9506, 547, 519, 1984, 267, 519, 2278, 814, 1179, 4327, 519, 2450, 540, 519, 5449, 1216, 20253, 601, 267, 799, 568, 31665, 693, 693, 1373, 1472, 476, 274, 332, 538, 8006, 269, 634, 2278, 18387, 1406, 1336, 1022, 7516, 6592, 676, 1022, 540, 519, 3318, 667, 691, 332, 3233, 24319, 563, 300, 677, 541, 10007, 476, 275, 267, 476, 276, 543, 476, 278, 269, 9995, 344, 15168, 337, 731, 6592, 602, 782, 27341, 10007, 941, 2813, 676, 519, 946, 540, 5595, 22827, 269, 1261, 2417, 4767, 602, 835, 3068, 540, 513, 18200, 541, 12942, 814, 1044, 17146, 4611, 538, 519, 2504, 540, 476, 275, 17860, 338, 630, 2005, 568, 21483, 602, 646, 729, 13288, 547, 27341, 6149, 476, 276, 1916, 27001, 18200, 541, 853, 2158, 476, 274, 543, 476, 277, 267, 6013, 606, 4277, 18921, 1540, 6149, 630, 18350, 8215, 589, 593, 519, 17250, 4786, 1040, 901, 949, 1134, 581, 835, 540, 519, 968, 332, 746, 10007, 892, 5219, 547, 676, 519, 18103, 333, 766, 11752, 26337, 10406, 538, 476, 2735, 271, 269, 19866, 4789, 2015, 602, 891, 2010, 540, 6149, 616, 968, 4385, 689, 1989, 626, 543, 6159, 4506, 14200, 267, 1141, 789, 616, 2808, 547, 723, 4646, 851, 540, 519, 1489, 585, 519, 12227, 6100, 634, 28756, 675, 1373, 568, 602, 713, 2679, 949, 267, 693, 835, 942, 267, 1044, 1031, 585, 11493, 17646, 1210, 23276, 15914, 10007, 563, 763, 18921, 538, 6149, 2048, 288, 685, 2759, 883, 519, 5580, 3068, 568, 827, 476, 271, 269, 4649, 544, 1279, 543, 1472, 476, 271, 269, 272, 544, 2647, 1315, 2620, 630, 10472, 12211, 547, 1472, 476, 29876, 30501, 538, 1040, 589, 6093, 22285, 6149, 540, 519, 1974, 1131, 723, 1185, 513, 4320, 540, 1472, 476, 24907, 24140, 538, 547, 3180, 476, 1911, 331, 2125, 540, 17646, 267, 799, 729, 519, 6093, 2450, 540, 3824, 582, 630, 10915, 281, 3220, 8751, 3998, 341, 338, 5098, 630, 2457, 476, 26631, 1070, 1141, 621, 568, 5018, 602, 476, 1911, 331, 321, 3824, 1824, 941, 1031, 538, 8061, 517, 6580, 1394, 547, 476, 1691, 628, 2540, 1040, 1403, 519, 6149, 2048, 288, 685, 941, 513, 22285, 6149, 630, 684, 3697, 569, 264, 621, 1131, 723, 1044, 9207, 1242, 563, 300, 677, 541, 12942, 476, 278, 5526, 547, 519, 4102, 538, 519, 1858, 543, 949, 7654, 723, 3063, 2048, 321, 8960, 7436, 685, 593, 621, 269, 634, 2278, 4956, 711, 547, 11145, 519, 2666, 1315, 6978, 3382, 547, 16616, 811, 540, 519, 18200, 541, 853, 2158, 607, 713, 949, 581, 2808, 607, 4929, 2417, 12159, 540, 3140, 818, 974, 30440, 563, 300, 677, 541, 12942, 476, 273, 814, 2185, 630, 22238, 762, 264, 1244, 11306, 543, 6013, 538, 1018, 568, 5156, 547, 723, 1044, 519, 13675, 547, 519, 1984, 563, 4002, 519, 5087, 7532, 7944, 540, 519, 1984, 267, 972, 568, 513, 7934, 538, 519, 1804, 536, 746, 619, 267, 799, 519, 2278, 17648, 949, 723, 1044, 519, 1569, 1448, 585, 513, 11308, 561, 879, 837, 547, 4196, 519, 1216, 20253, 601, 2630, 563, 19185, 1524, 593, 519, 7934, 538, 519, 1804, 536, 746, 619, 269, 15742, 569, 519, 7934, 2048, 6050, 909, 685, 609, 519, 8868, 335, 527, 543, 568, 4440, 1141, 513, 11308, 561, 879, 837, 949, 1134, 723, 1044, 5116, 269, 634, 3318, 667, 691, 332, 3233, 24319, 723, 6700, 972, 568, 513, 2110, 3296, 540, 513, 3819, 682, 520, 3056, 547, 713, 1448, 269, 634, 2278, 1336, 621, 2352, 547, 20559, 835, 563, 5629, 811, 1524, 693, 8868, 335, 527, 1377, 3168, 25318, 454, 5415, 5784, 540, 519, 18921, 1540, 6149, 543, 18200, 541, 853, 2158, 3168, 7178, 1524, 2509, 519, 2725, 8283, 563, 763, 1984, 13675, 563, 763, 1984, 13675, 3168, 883, 519, 2679, 269, 8074, 519, 1507, 2048, 531, 322, 913, 685, 593, 519, 6587, 3774, 267, 799, 4440, 568, 1175, 15468, 6149, 960, 563, 301, 792, 519, 5757, 267, 2630, 519, 8868, 335, 527, 568, 513, 536, 30629, 799, 5526, 547, 723, 513, 7008, 540, 2048, 16435, 1824, 685, 610, 4949, 548, 12946, 7436, 269, 898, 568, 31002, 2048, 291, 685, 593, 519, 17250, 4786, 269, 681, 269, 670, 269, 29247, 814, 6592, 602, 27061, 899, 713, 1223, 723, 1044, 1031, 676, 1507, 4401, 4949, 956, 267, 4440, 538, 4276, 609, 519, 1517, 869, 338, 269, 1772, 713, 2963, 540, 972, 1373, 513, 645, 27172, 5600, 1934, 693, 835, 1448, 540, 941, 519, 4949, 548, 7436, 851, 540, 1945, 1114, 15017, 288, 12745, 783, 2070, 540, 519, 18921, 1540, 6149, 630, 8072, 291, 685, 1916, 288, 13570, 538, 519, 4835, 1984, 3774, 267, 799, 814, 1034, 2693, 1044, 3361, 15468, 10007, 607, 10353, 547, 2348, 1022, 8978, 3483, 563, 2750, 4156, 630, 8054, 264, 3774, 543, 7944, 540, 519, 1984, 563, 1103, 4156, 630, 8054, 264, 3774, 543, 7944, 540, 519, 1984, 563, 1103, 4156, 630, 8054, 264, 3774, 543, 7944, 540, 519, 1984, 563, 1607, 1804, 18200, 541, 12942, 729, 711, 6592, 538, 713, 4087, 538, 519, 3312, 8751, 3998, 1407, 630, 28319, 517, 26337, 264, 17250, 1544, 269, 634, 2278, 11099, 713, 814, 1044, 6410, 2094, 519, 476, 2735, 271, 779, 547, 922, 1699, 4087, 269, 898, 568, 31002, 607, 2048, 300, 677, 541, 12942, 476, 279, 685, 593, 519, 17250, 1544, 563, 300, 677, 541, 12942, 476, 279, 5526, 547, 723, 1079, 1244, 11306, 630, 531, 18464, 972, 1223, 581, 811, 12617, 1916, 306, 14309, 1540, 12942, 2048, 289, 685, 666, 581, 1336, 547, 519, 5045, 1175, 3544, 519, 1984, 269, 898, 568, 540, 2147, 7516, 547, 6215, 582, 1540, 12942, 2048, 288, 685, 3976, 606, 13429, 1522, 581, 1500, 602, 972, 13234, 607, 513, 6292, 269, 1306, 681, 13034, 269, 29247, 7150, 538, 476, 3707, 271, 267, 891, 616, 968, 13678, 1791, 547, 10007, 602, 3576, 519, 7475, 540, 20832, 12946, 519, 3723, 21163, 540, 519, 5580, 1984, 10007, 538, 2025, 7912, 543, 1989, 626, 14200, 267, 543, 941, 4440, 5497, 585, 971, 946, 950, 621, 729, 4956, 547, 6460, 713, 2679, 883, 513, 1989, 626, 1984, 6100, 18238, 12920, 2044, 630, 11947, 667, 691, 332, 3233, 1107, 2985, 476, 14695, 264, 5267, 602, 519, 18921, 1540, 10007, 941, 711, 1031, 538, 513, 1989, 626, 1984, 1934, 607, 519, 2777, 1315, 1984, 568, 1932, 1507, 543, 519, 1216, 20253, 601, 9327, 1406, 723, 3177, 2614, 1379, 269, 634, 4244, 28756, 675, 2016, 568, 602, 8970, 689, 519, 1858, 729, 3144, 547, 513, 7404, 2725, 8283, 7085, 543, 12920, 2044, 5267, 602, 891, 10007, 941, 4440, 2759, 538, 1606, 15856, 585, 946, 11992, 267, 799, 729, 606, 2025, 2259, 593, 667, 691, 332, 3233, 563, 288, 6366, 1858, 547, 519, 5045, 540, 519, 1984, 4440, 4564, 1141, 519, 16760, 17646, 729, 2048, 323, 5962, 17483, 9303, 7595, 4789, 5267, 713, 1858, 2185, 14328, 17860, 338, 799, 4440, 2099, 519, 3788, 540, 14609, 956, 269, 1452, 2048, 3128, 869, 338, 685, 616, 2352, 547, 20559, 563, 288, 3803, 2070, 540, 519, 7085, 269, 7073, 24319, 723, 6592, 519, 1984, 607, 1373, 513, 1016, 3146, 551, 9771, 2679, 7893, 2901, 476, 278, 269, 274, 332, 1279, 676, 476, 274, 269, 278, 544, 2647, 630, 5976, 513, 3819, 7723, 3774, 7555, 909, 547, 476, 272, 269, 278, 15432, 1164, 264, 610, 8197, 1152, 476, 276, 269, 273, 332, 1535, 476, 274, 269, 277, 332, 269, 681, 13034, 269, 29247, 779, 7403, 941, 476, 1428, 1111, 547, 476, 1626, 1111, 630, 275, 269, 276, 332, 547, 476, 275, 269, 280, 332, 264, 1535, 476, 1724, 1111, 476, 275, 514, 630, 275, 332, 1040, 2290, 13300, 941, 519, 3063, 3259, 814, 2097, 538, 689, 519, 1585, 24319, 286, 5620, 930, 3769, 1315, 16934, 519, 8868, 335, 527, 15017, 763, 3803, 14328, 630, 338, 14309 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 12024, 19258, 3244, 12121, 543, 519, 27093, 14557, 26517, 5918, 334, 9291, 543, 23413, 267, 4171, 7928, 946, 540, 546, 8775, 630, 325, 3641, 267, 18560, 264, 5280, 2285, 519, 2262, 922, 1699, 8560, 267, 546, 8775, 568, 8499, 1977, 269, 898, 1101, 7902, 538, 1820, 538, 519, 2038, 476, 6642, 271, 338, 267, 547, 4766, 513, 812, 3728, 573, 1190, 538, 1010, 10571, 543, 6073, 12462, 9336, 1554, 454, 20130, 3068, 543, 3946, 941, 18233, 1614, 2053, 543, 1010, 5835, 4552, 729, 2036, 539, 269, 3767, 713, 1547, 1547, 1547, 729, 546, 644, 880, 538, 519, 25836, 1295, 518, 779, 4064, 892, 1765, 290, 537, 8175, 22711, 267, 476, 6642, 278, 1040, 634, 1034, 4922, 7608, 3069, 568, 602, 546, 8775, 7902, 607, 606, 9940, 1267, 540, 519, 589, 20469, 11873, 538, 4279, 6628, 269, 30546, 8187, 324, 630, 6977, 275, 268, 5002, 271, 264, 729, 519, 1164, 17308, 540, 713, 3350, 267, 4171, 740, 6254, 338, 900, 4327, 1010, 26137, 10571, 543, 4299, 4633, 543, 6073, 269, 769, 476, 6642, 273, 267, 593, 513, 11000, 4663, 538, 519, 2136, 2276, 267, 8187, 324, 5795, 4892, 513, 20250, 2070, 540, 606, 8353, 515, 974, 282, 621, 4667, 2693, 602, 546, 8775, 729, 22579, 689, 513, 4999, 540, 968, 323, 644, 892, 630, 534, 2376, 540, 7802, 264, 543, 968, 3430, 3363, 2223, 10452, 519, 1582, 23655, 6073, 540, 8187, 324, 543, 1010, 708, 527, 2209, 12462, 763, 1514, 11313, 323, 8775, 685, 945, 5540, 2296, 10571, 543, 519, 2296, 2721, 331, 892, 1765, 763, 1977, 267, 476, 6642, 274, 1040, 769, 519, 7262, 2136, 2276, 519, 2495, 729, 6905, 547, 3277, 771, 323, 664, 2685, 547, 606, 9456, 518, 610, 513, 2749, 321, 1042, 1268, 630, 1156, 576, 519, 2165, 546, 8775, 10443, 577, 585, 513, 18992, 610, 10443, 577, 23695, 547, 16314, 532, 546, 26360, 1040, 667, 8775, 4769, 1406, 6336, 891, 3541, 690, 2218, 25664, 725, 2394, 519, 476, 3422, 271, 338, 267, 950, 621, 6591, 9304, 1851, 4683, 17051, 563, 16449, 519, 9718, 1218, 538, 519, 2487, 838, 622, 540, 4031, 7057, 19429, 1996, 16906, 9755, 676, 21596, 609, 2860, 568, 31240, 650, 731, 267, 519, 10672, 540, 13573, 13189, 269, 4438, 519, 2038, 476, 4198, 271, 338, 519, 6216, 8659, 513, 6882, 561, 3166, 609, 20702, 630, 320, 1634, 15910, 4094, 1070, 799, 729, 512, 719, 539, 538, 22099, 540, 519, 942, 607, 1373, 31045, 676, 519, 1977, 6481, 5948, 269, 634, 2564, 1895, 729, 2656, 547, 4431, 547, 519, 22099, 267, 10912, 873, 968, 320, 1034, 1065, 516, 2380, 1043, 3236, 540, 554, 3089, 3122, 1143, 1848, 295, 3089, 3122, 1143, 630, 30541, 2358, 267, 1419, 693, 922, 6354, 11494, 10782, 264, 814, 2097, 513, 1279, 1259, 689, 519, 10120, 554, 4157, 3122, 630, 6244, 323, 2401, 264, 18761, 9944, 513, 5230, 22753, 540, 3649, 637, 269, 634, 3239, 540, 513, 18761, 4137, 6273, 519, 2262, 267, 689, 519, 22300, 21475, 26049, 3597, 2608, 651, 340, 268, 630, 1729, 18846, 264, 543, 922, 27272, 12045, 2608, 327, 4157, 268, 269, 901, 3597, 5795, 2296, 17761, 12027, 630, 6244, 323, 2401, 264, 543, 17761, 330, 630, 1729, 7895, 323, 548, 264, 998, 519, 5664, 8899, 4436, 554, 7505, 630, 1729, 18846, 267, 2695, 520, 267, 7703, 593, 519, 1394, 1070, 2059, 609, 554, 6064, 518, 267, 998, 519, 6196, 25245, 554, 758, 571, 630, 1729, 524, 709, 577, 1070, 543, 554, 3089, 3122, 267, 689, 5664, 10656, 554, 758, 6856, 630, 821, 945, 2695, 1846, 267, 513, 7895, 323, 2401, 1916, 5804, 554, 3089, 3122, 607, 513, 10685, 518, 540, 4620, 1399, 5370, 12462, 2171, 324, 4444, 938, 25183, 7381, 578, 324, 1547, 1547, 1547, 540, 519, 554, 3089, 9094, 543, 2468, 701, 2914, 1161, 892, 2443, 8361, 7454, 267, 28524, 543, 10055, 7734, 267, 476, 13932, 272, 264, 3357, 519, 811, 1455, 2495, 267, 513, 1268, 945, 6411, 856, 540, 4620, 1399, 610, 24271, 32418, 24500, 12462, 296, 993, 1100, 554, 3089, 3122, 267, 547, 6133, 1250, 8250, 547, 519, 1655, 536, 1342, 518, 892, 1765, 6307, 661, 269, 17659, 18484, 267, 4077, 331, 2714, 525, 769, 615, 13330, 267, 476, 5908, 279, 1916, 763, 6578, 26106, 655, 622, 543, 519, 32117, 8082, 538, 519, 14655, 13323, 538, 519, 2887, 540, 476, 1960, 271, 5795, 2797, 533, 1495, 1080, 23249, 607, 789, 6836, 547, 15378, 28056, 771, 20880, 543, 4160, 968, 719, 593, 519, 554, 755, 902, 2223, 607, 835, 21107, 2322, 621, 269, 670, 755, 902, 630, 324, 3005, 324, 1359, 267, 2797, 5859, 532, 282, 4025, 1141, 891, 1919, 616, 2944, 264, 568, 689, 519, 6196, 2296, 554, 8463, 267, 799, 3357, 689, 519, 6196, 25245, 554, 755, 3107, 267, 513, 7623, 540, 8152, 630, 5264, 264, 543, 3364, 630, 553, 12273, 267, 14643, 267, 5480, 1040, 4014, 713, 2631, 540, 3364, 5747, 856, 538, 2296, 267, 621, 3470, 1161, 538, 519, 32090, 4654, 21785, 267, 20636, 267, 543, 16528, 607, 512, 532, 269, 769, 19360, 519, 14618, 568, 1869, 1572, 519, 1325, 2251, 269, 5221, 519, 3312, 27272, 2262, 568, 26256, 622, 609, 519, 20096, 519, 8811, 338, 630, 320, 942, 16516, 585, 1945, 1070, 552, 1399, 332, 5505, 2601, 602, 621, 5921, 968, 1492, 942, 610, 1554, 540, 10198, 2108, 543, 568, 6038, 689, 519, 21475, 26049, 3597, 2608, 1084, 330, 268, 630, 1729, 12701, 1070, 4171, 2495, 729, 6905, 547, 3382, 968, 320, 12701, 540, 942, 1848, 769, 554, 755, 3107, 267, 610, 968, 5264, 10198, 267, 2108, 519, 2777, 1373, 5219, 547, 729, 513, 4622, 779, 610, 15626, 2006, 779, 267, 543, 519, 10198, 729, 13984, 1152, 676, 2818, 540, 1010, 7525, 5480, 269, 634, 2034, 27612, 729, 4617, 569, 934, 5034, 267, 8716, 519, 12332, 522, 326, 555, 607, 512, 267, 543, 5555, 9591, 327, 755, 532, 269, 3245, 519, 2495, 968, 322, 22620, 14643, 267, 2108, 554, 4289, 532, 2968, 519, 2012, 585, 519, 18678, 5480, 540, 5507, 267, 1500, 909, 540, 519, 7083, 26302, 267, 519, 2594, 518, 267, 543, 620, 323, 1069, 523, 269, 13242, 5097, 538, 519, 12683, 1106, 267, 621, 3357, 547, 3277, 811, 4481, 547, 519, 5580, 1439, 540, 519, 10689, 267, 1141, 519, 5480, 7036, 539, 267, 543, 1287, 1175, 547, 519, 3760, 593, 799, 519, 25650, 543, 5351, 1069, 523, 2893, 269, 15760, 519, 22733, 2540, 621, 5219, 547, 1776, 3760, 267, 519, 835, 689, 799, 10457, 585, 12057, 12038, 543, 689, 799, 789, 941, 9930, 3990, 269, 7053, 621, 729, 6905, 547, 519, 588, 18804, 543, 9550, 324, 1359, 1184, 3294, 269, 0, 9199, 3431, 267, 519, 4457, 1715, 5729, 568, 9976, 936, 476, 1428, 2395, 269, 634, 7908, 8481, 2253, 593, 519, 552, 557, 540, 4457, 1715, 5729, 267, 950, 3885, 5531, 1927, 585, 519, 5993, 22653, 542, 12129, 269, 634, 1985, 1079, 2395, 616, 3335, 6170, 9683, 14077, 543, 2828, 267, 513, 2688, 602, 666, 12701, 547, 519, 6957, 18818, 1554, 563, 763, 11812, 2356, 16569, 476, 1626, 2395, 267, 689, 1715, 5729, 781, 18832, 547, 519, 476, 1428, 628, 1554, 540, 519, 1715, 5729, 1107, 519, 28469, 1181, 16635, 269, 769, 476, 1708, 273, 267, 519, 11812, 6238, 593, 5130, 476, 4029, 560, 543, 7475, 593, 5988, 476, 1428, 628, 563, 763, 1292, 4457, 1715, 5729, 2238, 1331, 476, 272, 264, 8380, 909, 23598, 267, 476, 273, 264, 5356, 24279, 547, 11937, 267, 476, 274, 264, 4189, 22653, 542, 12129, 609, 1920, 593, 1715, 5729, 781, 18832, 267, 476, 275, 264, 4758, 2699, 17158, 525, 543, 824, 13344, 267, 476, 276, 264, 3595, 28755, 1188, 619, 543, 32030, 267, 543, 476, 277, 264, 8384, 17794, 543, 15743, 23929, 563, 299, 12762, 1715, 5729, 630, 20001, 366, 418, 505, 484, 13161, 364, 23946, 368, 264, 7436, 519, 1101, 1554, 540, 519, 1032, 538, 519, 16264, 11706, 269, 634, 11812, 3622, 8255, 585, 476, 1428, 2395, 267, 609, 1142, 1554, 2348, 2027, 2495, 543, 5389, 547, 8956, 269, 634, 2395, 262, 4644, 543, 9821, 4268, 1063, 4525, 543, 4978, 563, 24336, 1715, 5729, 267, 849, 1572, 30803, 1715, 5729, 267, 5993, 476, 1428, 6377, 13037, 538, 3624, 543, 4457, 2950, 1472, 519, 1158, 602, 5956, 609, 519, 1007, 7599, 602, 4386, 28069, 1063, 5130, 476, 2641, 543, 5988, 476, 736, 2687, 547, 5375, 30300, 1513, 563, 30262, 686, 568, 519, 476, 278, 628, 1554, 540, 2098, 26907, 344, 826, 267, 519, 1101, 3923, 538, 519, 2757, 4457, 11706, 269, 4340, 547, 4457, 9821, 267, 11412, 686, 729, 519, 1554, 1480, 7919, 941, 2813, 269, 898, 568, 9976, 711, 1152, 538, 3624, 267, 855, 849, 538, 519, 4478, 3148, 6766, 676, 4457, 2528, 563, 2026, 519, 2212, 540, 782, 24587, 267, 646, 568, 519, 14610, 540, 24656, 267, 3047, 543, 18774, 269, 898, 568, 1767, 602, 519, 27630, 1554, 540, 519, 4457, 1715, 5729, 568, 1010, 14512, 1107, 835, 540, 519, 4102, 16873, 538, 24656, 547, 799, 782, 540, 519, 10971, 786, 581, 14376, 269, 4935, 267, 2221, 568, 849, 1572, 13127, 353, 358, 20721, 354, 630, 16210, 31488, 678, 383, 361, 267, 519, 4303, 540, 24656, 8094, 10403, 6980, 585, 519, 991, 344, 543, 4395, 4802, 619, 454, 9827, 5219, 547, 607, 645, 2967, 570, 1014, 717, 784, 267, 799, 1797, 32467, 547, 519, 24656, 2696, 267, 519, 11755, 16008, 568, 849, 547, 2285, 7064, 547, 519, 808, 1228, 14890, 945, 3177, 519, 670, 758, 7288, 839, 4027, 689, 519, 6285, 540, 519, 5545, 7952, 945, 941, 856, 547, 26718, 873, 563, 2710, 711, 22937, 610, 10210, 4376, 593, 519, 1101, 1554, 540, 16264, 5130, 267, 2523, 2724, 269, 700, 2056, 2724, 568, 606, 796, 331, 13806, 522, 5443, 267, 799, 1797, 22237, 2530, 267, 865, 1004, 1058, 711, 1055, 754, 2828, 610, 12543, 676, 24228, 1945, 689, 873, 269, 1306, 6362, 585, 2132, 540, 22440, 7640, 539, 568, 849, 513, 4457, 1715, 5729, 9184, 5622, 563, 24336, 4406, 550, 1149, 262, 4303, 454, 1103, 519, 3504, 2395, 267, 796, 3405, 3072, 21031, 786, 2328, 741, 2012, 543, 3346, 3877, 593, 8260, 18288, 24453, 543, 19184, 873, 883, 519, 5757, 593, 28331, 717, 2129, 2725, 328, 269, 901, 568, 2944, 538, 519, 3661, 602, 513, 812, 1131, 1085, 17274, 873, 909, 543, 1118, 3346, 609, 873, 267, 3850, 891, 2582, 21031, 547, 19533, 1434, 8152, 27512, 563, 298, 14833, 3081, 602, 8126, 344, 10224, 568, 4122, 6039, 593, 519, 6957, 18818, 543, 3803, 1554, 540, 519, 4457, 1715, 5729, 11812, 267, 799, 568, 849, 519, 28469, 1181, 16635, 269, 4746, 1500, 689, 22965, 29532, 7573, 7912, 1765, 298, 14833, 6010, 839, 519, 11007, 547, 4779, 14024, 267, 1776, 2186, 540, 7573, 14735, 2442, 538, 3567, 1765, 339, 836, 344, 10224, 568, 6039, 538, 513, 6094, 26185, 610, 2620, 22304, 563, 6546, 781, 1946, 4457, 1715, 5729, 568, 1634, 607, 2871, 334, 715, 1014, 267, 799, 1797, 834, 29589, 532, 519, 715, 1014, 4799, 299, 13806, 16639, 593, 11412, 686, 454, 301, 22751, 616, 13881, 2099, 15325, 543, 6151, 3165, 568, 13881, 547, 2099, 1967, 269, 769, 824, 7489, 17521, 945, 8661, 267, 1455, 8286, 1331, 513, 5722, 10448, 17339, 892, 630, 4970, 481, 420, 493, 506, 419, 378, 373, 1070, 968, 572, 1597, 10448, 598, 32607, 892, 630, 4970, 481, 420, 493, 506, 419, 366, 354, 264, 543, 968, 329, 21355, 598, 32607, 892, 630, 9463, 488, 21588, 361, 419, 366, 354, 264, 799, 568, 513, 1230, 32607, 609, 10709, 20230, 267, 6797, 543, 8459, 563, 8133, 267, 602, 781, 1318, 267, 835, 1281, 711, 3274, 11547, 741, 4552, 610, 1491, 513, 17643, 593, 519, 1554, 540, 4457, 1715, 5729, 607, 7738, 3054, 593, 519, 1554, 568, 2938, 607, 11067, 2476, 1434, 19539, 269, 9282, 513, 9488, 28103, 540, 519, 4552, 543, 1560, 568, 3810, 9415, 1991, 538, 1931, 547, 27125, 1055, 1022, 3983, 9939, 563, 7775, 5190, 543, 4033, 13022, 6350, 454, 7775, 5190, 267, 737, 636, 638, 1846, 267, 8126, 518, 1149, 543, 533, 558, 601, 657, 616, 1455, 4457, 1715, 5729, 13344, 1317, 789, 2811, 5156, 547, 3142, 1434, 9939, 543, 8788, 269, 634, 4457, 1913, 585, 968, 528, 1052, 892, 543, 968, 339, 9734, 710, 892, 5702, 18613, 519, 1913, 585, 968, 331, 3089, 892, 543, 968, 17314, 1848, 634, 4154, 2681, 540, 891, 5613, 849, 23327, 13884, 563, 763, 808, 1228, 14890, 630, 312, 7795, 340, 836, 610, 962, 644, 328, 264, 729, 2808, 547, 581, 519, 14610, 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 ]
[ 0, 5814, 11885, 607, 5286, 454, 5814, 21267, 28272, 607, 12301, 692, 3698, 1024, 318, 12690, 12774, 318, 749, 2354, 529, 16597, 2187, 825, 715, 815, 476, 4335, 454, 825, 667, 8379, 815, 476, 273, 692, 825, 5286, 20179, 269, 23092, 263, 273, 2020, 825, 1948, 2637, 4733, 4351, 2798, 593, 519, 1770, 5858, 676, 10386, 7833, 7285, 454, 825, 23940, 815, 5286, 20179, 26509, 6134, 263, 271, 267, 476, 273, 2608, 5286, 32564, 267, 630, 301, 267, 476, 272, 4917, 825, 552, 1186, 5332, 18857, 815, 476, 271, 269, 273, 2608, 5286, 20179, 269, 7538, 4433, 1125, 17342, 301, 267, 476, 272, 7481, 825, 5858, 815, 5286, 19544, 23637, 8443, 12639, 269, 6523, 263, 9064, 1070, 5286, 4732, 514, 263, 9064, 13580, 2020, 825, 1948, 853, 4958, 577, 543, 17967, 5858, 547, 606, 31753, 609, 4351, 5276, 17464, 4146, 454, 825, 645, 815, 5286, 20179, 27110, 8987, 274, 267, 476, 274, 267, 630, 291, 8379, 267, 667, 8379, 4917, 825, 26776, 318, 749, 15199, 815, 5858, 31715, 16360, 264, 1341, 552, 1186, 5332, 18857, 7531, 3698, 3514, 318, 749, 2354, 529, 16597, 2187, 825, 1948, 6987, 847, 1535, 1071, 3581, 543, 586, 1071, 3581, 540, 519, 31753, 607, 6241, 10321, 454, 825, 2473, 815, 1239, 18020, 476, 271, 281, 272, 2639, 825, 962, 815, 1239, 18020, 476, 272, 281, 6540, 825, 1948, 4813, 3634, 543, 4194, 519, 2547, 10945, 1966, 13466, 288, 343, 910, 536, 13466, 317, 273, 454, 825, 589, 815, 5286, 19544, 23637, 8443, 311, 2878, 476, 273, 267, 2473, 2608, 962, 267, 962, 2878, 476, 273, 267, 2473, 267, 962, 7481, 825, 536, 815, 5286, 269, 2158, 318, 3697, 11583, 994, 825, 1535, 815, 5286, 7456, 1400, 326, 7456, 7370, 336, 10490, 267, 536, 25011, 271, 4940, 338, 638, 2465, 2763, 10797, 825, 1948, 7179, 519, 3830, 540, 519, 31753, 538, 3044, 1106, 454, 825, 1948, 1820, 3488, 763, 31753, 568, 2016, 676, 2715, 271, 15545, 274, 26507, 317, 273, 1341, 2715, 272, 15545, 274, 348, 15383, 266, 346, 273, 15545, 274, 348, 344, 317, 273, 266, 346, 274, 15545, 274, 26507, 266, 346, 275, 15545, 274, 348, 344, 815, 476, 272, 8339, 8971, 3287, 314, 271, 3910, 1535, 314, 272, 3910, 343, 314, 273, 3910, 343, 314, 274, 3910, 343, 314, 275, 8079, 2020, 825, 2132, 589, 267, 536, 267, 1535, 7531, 3698, 4729, 318, 601, 2354, 529, 10490, 267, 536, 267, 1535, 267, 1239, 2187, 825, 13672, 815, 476, 276, 454, 825, 12498, 815, 476, 274, 692, 825, 1948, 6987, 847, 1535, 1071, 3581, 543, 586, 1071, 3581, 540, 519, 31753, 607, 6241, 10321, 454, 825, 2473, 815, 1239, 18020, 476, 271, 281, 272, 2639, 825, 962, 815, 1239, 18020, 476, 272, 281, 6540, 825, 1948, 18140, 519, 26776, 1239, 454, 825, 12301, 31892, 2660, 11583, 267, 962, 267, 6003, 8782, 10574, 18745, 17210, 825, 1948, 18140, 519, 3312, 31753, 689, 799, 519, 1239, 729, 6383, 454, 825, 943, 328, 815, 5286, 7456, 1231, 10628, 263, 271, 267, 476, 273, 2608, 5286, 32564, 267, 476, 1911, 271, 1040, 31412, 9230, 1911, 271, 267, 476, 272, 4917, 825, 524, 815, 5286, 19544, 23637, 8443, 12639, 269, 6523, 263, 12978, 1070, 5286, 4732, 514, 263, 12978, 264, 7481, 825, 2666, 4671, 337, 3578, 318, 749, 15199, 815, 524, 31715, 16360, 994, 825, 12301, 19502, 263, 3033, 4671, 337, 3578, 318, 749, 15199, 18020, 476, 271, 3910, 2666, 4671, 337, 3578, 318, 749, 15199, 18020, 476, 272, 3910, 1412, 330, 734, 3299, 6003, 8782, 17653, 908, 11875, 15199, 17210, 825, 1948, 18140, 519, 2547, 10945, 31753, 454, 825, 1535, 318, 1723, 867, 815, 5286, 7456, 1231, 10628, 8987, 276, 267, 476, 276, 267, 476, 4968, 994, 825, 586, 318, 1723, 867, 815, 5286, 7456, 1231, 10628, 8987, 276, 267, 476, 276, 267, 476, 4968, 994, 825, 2473, 318, 1723, 867, 267, 962, 318, 1723, 867, 815, 5286, 6230, 21983, 28186, 3287, 318, 1723, 867, 267, 586, 318, 1723, 867, 994, 825, 2098, 318, 1723, 867, 815, 1535, 314, 271, 316, 2608, 2473, 318, 1723, 867, 2878, 476, 273, 1341, 1535, 314, 272, 316, 2608, 2473, 318, 1723, 867, 2608, 962, 318, 1723, 867, 1341, 1535, 314, 273, 316, 2608, 962, 318, 1723, 867, 2878, 476, 273, 1341, 1535, 314, 274, 316, 2608, 2473, 318, 1723, 867, 1341, 1535, 314, 275, 316, 2608, 962, 318, 1723, 867, 454, 825, 12301, 269, 4186, 712, 11583, 318, 1723, 867, 267, 962, 318, 1723, 867, 267, 2098, 318, 1723, 867, 267, 2157, 17342, 272, 3910, 4778, 284, 3488, 337, 30670, 1899, 342, 573, 2195, 284, 273, 2020, 825, 12301, 269, 5586, 754, 4590, 825, 12301, 11859, 16932, 3488, 311, 5073, 825, 12301, 269, 29786, 3488, 312, 5073, 825, 12301, 20481, 10797, 692, 0, 5814, 26417, 454, 5814, 15259, 3097, 5814, 19523, 454, 5228, 3351, 1104, 1205, 318, 10174, 692, 322, 12364, 6958, 32327, 815, 19523, 27769, 341, 314, 272, 6540, 5976, 1930, 263, 657, 29624, 12459, 7765, 263, 1326, 318, 10174, 19572, 1412, 16059, 3299, 26417, 6958, 32327, 1070, 1412, 337, 3299, 17683, 8782, 583, 325, 268, 279, 10807, 607, 535, 912, 825, 5467, 815, 26417, 18667, 518, 6600, 267, 1642, 574, 3438, 8782, 347, 5073, 8931, 825, 15044, 8217, 815, 15044, 263, 1348, 518, 267, 1883, 284, 14433, 1535, 281, 703, 3287, 314, 272, 25818, 9258, 18989, 2020, 5976, 1930, 263, 657, 29624, 12459, 7765, 263, 1326, 318, 10174, 19572, 1412, 16059, 3299, 535, 781, 9285, 3709, 322, 12364, 6958, 32327, 348, 30670, 1412, 342, 3299, 17683, 8782, 583, 325, 268, 279, 10807, 607, 535, 912, 825, 5856, 815, 26417, 9884, 31581, 6600, 267, 1642, 574, 3438, 8782, 347, 5073, 825, 585, 4737, 538, 15044, 8217, 912, 1038, 5856, 9884, 31581, 578, 21405, 994, 0, 320, 815, 476, 271, 454, 1721, 1775, 538, 2039, 5416, 267, 476, 274, 2187, 825, 952, 1775, 2652, 476, 272, 912, 1038, 513, 815, 476, 2004, 454, 825, 1820, 9217, 267, 513, 264, 0, 5035, 12525, 25618, 344, 24998, 2187, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 2706, 14061, 1029, 8181, 1029, 4590, 825, 1219, 5173, 4311, 267, 514, 2492, 281, 15615, 9984, 285, 15615, 912, 1038, 2132, 4747, 265, 1345, 10947, 2704, 1172, 582, 4590, 825, 1219, 1205, 2704, 1172, 582, 4311, 9984, 285, 15615, 912, 1038, 6318, 3502, 25363, 7757, 3488, 20082, 1505, 17210, 5035, 12525, 25618, 344, 307, 271, 24867, 1314, 25618, 344, 2187, 825, 1219, 1205, 2704, 1172, 582, 4311, 9984, 285, 15615, 912, 1038, 2132, 476, 271, 692, 5035, 12525, 25618, 344, 307, 272, 24867, 1314, 25618, 344, 2187, 825, 1219, 1205, 2704, 1172, 582, 4311, 9984, 285, 15615, 912, 1038, 2132, 476, 271, 269, 271, 4037, 692, 5035, 12525, 25618, 344, 307, 273, 24867, 1314, 25618, 344, 2187, 825, 1219, 1205, 2704, 1172, 582, 4311, 9984, 285, 15615, 912, 1038, 2132, 476, 271, 269, 1428, 692, 5035, 12525, 25618, 344, 307, 274, 24867, 1314, 25618, 344, 2187, 825, 1219, 1205, 2704, 1172, 582, 4311, 9984, 285, 15615, 912, 1038, 2132, 476, 271, 269, 18597, 692, 5035, 12525, 25618, 344, 307, 275, 24867, 1314, 25618, 344, 2187, 825, 1219, 1205, 2704, 1172, 582, 4311, 9984, 285, 15615, 912, 1038, 2132, 476, 271, 269, 22550, 692, 5035, 12525, 15612, 1807, 24998, 2187, 825, 3454, 25618, 344, 815, 7183, 454, 825, 4747, 815, 7183, 454, 825, 1219, 6449, 8181, 9191, 1345, 267, 4747, 281, 15615, 2187, 1038, 4747, 815, 10581, 263, 514, 2492, 994, 1038, 2706, 14061, 1029, 8181, 1029, 4590, 1038, 1582, 23357, 2492, 815, 4747, 454, 1038, 1582, 269, 2246, 846, 937, 25618, 344, 4590, 825, 1219, 1313, 846, 937, 25618, 344, 4311, 2187, 1038, 952, 567, 1582, 23357, 2492, 10922, 476, 14378, 271, 269, 4281, 912, 2018, 1582, 6745, 1314, 25618, 344, 815, 12525, 25618, 344, 307, 271, 4590, 1038, 8640, 1582, 23357, 2492, 10922, 476, 16348, 274, 269, 11011, 912, 2018, 1582, 6745, 1314, 25618, 344, 815, 12525, 25618, 344, 307, 272, 4590, 1038, 8640, 1582, 23357, 2492, 10922, 476, 30130, 279, 269, 6795, 912, 2018, 1582, 6745, 1314, 25618, 344, 815, 12525, 25618, 344, 307, 273, 4590, 1038, 8640, 1582, 23357, 2492, 10922, 476, 275, 2767, 272, 269, 6795, 912, 2018, 1582, 6745, 1314, 25618, 344, 815, 12525, 25618, 344, 307, 274, 4590, 1038, 3116, 912, 2018, 1582, 6745, 1314, 25618, 344, 815, 12525, 25618, 344, 307, 275, 4590, 1038, 2132, 454, 825, 1219, 5173, 307, 1314, 4311, 9984, 285, 15615, 912, 1038, 2132, 1582, 6745, 1314, 25618, 344, 269, 20412, 622, 4311, 23357, 2492, 994, 0, 18411, 2704, 326, 528, 527, 15879, 16948, 733, 541, 1714, 1003, 3266, 632, 538, 11437, 525, 546, 5964, 796, 818, 2958, 5979, 632, 6746, 657, 454, 10938, 657, 630, 10059, 2517, 4178, 269, 613, 4060, 1721, 613, 4060, 3820, 11305, 870, 532, 2987, 951, 687, 270, 6393, 5353, 3351, 21289, 1714, 1558, 29081, 7941, 543, 20630, 16948, 32488, 541, 632, 19448, 1264, 329, 21059, 744, 3799, 273, 994, 320, 19448, 1264, 329, 21059, 744, 3799, 331, 1758, 6393, 25219, 559, 16948, 1608, 4788, 1138, 559, 6421, 1303, 516, 818, 2958, 32221, 16948, 12974, 2784, 334, 897, 1987, 520, 16343, 563, 18411, 3698, 733, 541, 19906, 2187, 825, 952, 7003, 19906, 264, 2652, 476, 272, 912, 1038, 2132, 2855, 267, 271, 454, 825, 3116, 912, 1038, 2855, 318, 714, 336, 267, 18085, 318, 714, 336, 815, 733, 541, 19906, 11468, 842, 12759, 19906, 8358, 273, 264, 7481, 1038, 2855, 318, 1457, 267, 18085, 318, 1457, 815, 733, 541, 19906, 27776, 12759, 19906, 8358, 273, 2567, 7481, 1038, 2855, 318, 867, 523, 5964, 267, 18085, 18425, 341, 815, 733, 541, 318, 867, 523, 541, 19906, 318, 714, 336, 267, 2855, 318, 1457, 994, 1038, 2132, 2855, 318, 867, 523, 5964, 267, 18085, 318, 714, 336, 1341, 18085, 318, 1457, 1341, 18085, 18425, 341, 692, 3698, 733, 541, 318, 867, 523, 541, 19906, 318, 714, 336, 267, 2855, 318, 1457, 2187, 825, 1775, 815, 476, 271, 454, 825, 795, 815, 476, 271, 454, 825, 2855, 318, 4046, 815, 11713, 825, 1293, 18425, 341, 815, 476, 271, 454, 825, 585, 737, 538, 2039, 12759, 19906, 318, 714, 336, 264, 1341, 7003, 19906, 318, 1457, 15892, 1038, 952, 1775, 13843, 7003, 19906, 318, 714, 336, 2187, 2018, 2855, 318, 4046, 815, 2855, 318, 4046, 1341, 2855, 318, 1457, 14728, 281, 2639, 2018, 2736, 454, 1038, 8640, 795, 13843, 7003, 19906, 318, 1457, 2187, 2018, 2855, 318, 4046, 815, 2855, 318, 4046, 1341, 2855, 318, 714, 336, 5157, 281, 2639, 2018, 2736, 454, 1038, 8640, 2855, 318, 714, 336, 5157, 316, 2999, 2855, 318, 1457, 14728, 14158, 2018, 2855, 318, 4046, 6910, 19906, 318, 714, 336, 5157, 7481, 2018, 1775, 815, 1775, 1341, 476, 272, 454, 1038, 8640, 2855, 318, 714, 336, 5157, 316, 13843, 2855, 318, 1457, 14728, 14158, 2018, 2855, 318, 4046, 6910, 19906, 318, 1457, 14728, 7481, 2018, 795, 815, 795, 1341, 476, 272, 454, 2018, 1293, 18425, 341, 815, 1293, 18425, 341, 1341, 7003, 19906, 318, 714, 336, 264, 910, 1775, 454, 825, 2132, 2855, 318, 4046, 267, 1293, 18425, 341, 692, 3698, 1292, 10031, 825, 1948, 1551, 815, 1496, 272, 267, 476, 274, 2073, 276, 2073, 476, 273, 267, 476, 275, 2073, 476, 277, 2639, 825, 2855, 815, 1496, 272, 267, 276, 267, 274, 267, 278, 267, 279, 267, 273, 267, 275, 267, 280, 267, 277, 2639, 825, 1820, 263, 4186, 541, 19906, 11723, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1292, 4590, 0, 3698, 9258, 263, 560, 8029, 825, 20328, 815, 15234, 1477, 825, 585, 1347, 538, 588, 6769, 1038, 20328, 815, 1347, 1341, 20328, 1477, 825, 2132, 20328, 24653, 3698, 1292, 28399, 825, 4358, 815, 3403, 2891, 11767, 513, 5569, 281, 834, 3418, 825, 1820, 263, 516, 2091, 263, 11034, 532, 17903, 5897, 10852, 3890, 0, 5814, 4351, 692, 31778, 318, 10485, 30438, 815, 476, 274, 692, 3698, 2721, 24624, 10031, 825, 585, 1775, 538, 2039, 29687, 4338, 318, 10485, 30438, 2187, 1038, 585, 795, 538, 2039, 29687, 4338, 318, 10485, 30438, 2187, 2018, 1820, 263, 9795, 5157, 6012, 329, 3910, 1439, 8782, 30386, 1038, 1820, 4590, 825, 1820, 10797, 3698, 945, 294, 3996, 5575, 10031, 825, 952, 4351, 27110, 263, 271, 267, 476, 272, 264, 2652, 476, 271, 912, 1038, 2132, 1412, 16651, 272, 7055, 825, 3116, 912, 1038, 2132, 1412, 16651, 273, 262, 7531, 3698, 3403, 32156, 4131, 614, 10031, 825, 4484, 815, 1412, 7055, 825, 1247, 711, 630, 12072, 2652, 1412 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8811, 570, 30349, 5243, 616, 1634, 585, 741, 1279, 267, 4190, 10772, 267, 799, 666, 19890, 581, 12155, 547, 513, 3099, 540, 2152, 952, 711, 5265, 25374, 585, 269, 901, 568, 1946, 1274, 1416, 568, 865, 1271, 547, 519, 1072, 543, 1134, 5630, 540, 707, 24566, 3659, 563, 763, 1292, 2601, 602, 1274, 1416, 568, 2629, 585, 1744, 8811, 570, 345, 639, 568, 1813, 547, 519, 3337, 543, 3259, 540, 741, 10772, 269, 4256, 1279, 267, 1166, 641, 6853, 10772, 1711, 513, 3636, 543, 5848, 1604, 602, 666, 3362, 15972, 13897, 267, 11935, 267, 543, 7509, 563, 1607, 666, 1291, 547, 513, 19221, 540, 4551, 610, 13803, 267, 799, 538, 2490, 666, 2014, 5563, 610, 824, 2152, 269, 3958, 267, 952, 2451, 31250, 267, 891, 2042, 666, 1831, 3833, 11213, 585, 707, 2915, 454, 299, 3089, 1176, 267, 2834, 7738, 543, 5826, 568, 782, 602, 779, 2877, 547, 1832, 707, 1744, 8811, 570, 30349, 779, 10772, 2635, 543, 2973, 269, 1635, 2921, 1175, 513, 1906, 3764, 1169, 7008, 540, 4374, 547, 2973, 707, 2915, 779, 10772, 8499, 267, 596, 666, 2061, 519, 19221, 540, 5739, 4551, 543, 2327, 602, 707, 4620, 13978, 6126, 543, 2635, 563, 763, 11957, 540, 8617, 27686, 454, 2026, 5018, 4505, 267, 2834, 7738, 568, 2565, 538, 7303, 5563, 543, 824, 2152, 689, 2679, 909, 538, 707, 2915, 779, 10772, 269, 3502, 1152, 1281, 713, 948, 4894, 1022, 4430, 14589, 1628, 5346, 610, 11935, 971, 607, 6371, 5452, 610, 13897, 5536, 855, 621, 849, 2337, 2226, 1434, 9882, 2853, 3823, 741, 6217, 1062, 563, 2005, 1058, 581, 7074, 602, 936, 268, 2193, 22135, 666, 581, 1175, 607, 3983, 607, 896, 268, 2193, 22135, 950, 621, 2501, 547, 1274, 1416, 269, 901, 1797, 596, 991, 547, 1265, 519, 1318, 3666, 950, 7738, 282, 1932, 2370, 786, 711, 798, 4376, 2509, 5329, 5563, 693, 15922, 1247, 1932, 1454, 1522, 2014, 3819, 1145, 593, 519, 2960, 3056, 547, 9636, 563, 5194, 3815, 4502, 15663, 950, 7738, 707, 1744, 8811, 570, 30349, 779, 10772, 5781, 568, 602, 621, 2337, 2697, 1022, 2242, 538, 741, 1274, 2783, 2038, 2614, 1354, 621, 7140, 883, 513, 4049, 3390, 269, 9866, 6326, 952, 707, 2915, 814, 1022, 11166, 267, 25017, 267, 610, 6553, 666, 1683, 596, 609, 606, 2038, 9963, 540, 1761, 1072, 2042, 602, 2154, 2564, 3007, 563, 19894, 1274, 7738, 568, 849, 513, 9735, 16345, 4316, 1063, 596, 543, 707, 24566, 3659, 269, 3962, 942, 596, 2973, 741, 10772, 267, 2285, 873, 17192, 610, 513, 1521, 607, 2318, 15699, 607, 713, 786, 5000, 1434, 2623, 454, 663, 1118, 519, 1184, 811, 11791, 585, 1312, 540, 596, 563, 763, 11957, 540, 10644, 454, 7093, 3685, 568, 513, 2629, 2460, 540, 1274, 1416, 585, 1744, 8811, 570, 30349, 454, 323, 9233, 269, 901, 2882, 2921, 3268, 547, 2061, 2152, 689, 16109, 538, 519, 1101, 1747, 676, 5329, 741, 10772, 2973, 543, 3819, 267, 607, 1134, 607, 676, 9319, 20392, 873, 547, 1761, 8886, 1218, 610, 23480, 563, 5278, 1455, 4388, 585, 7303, 1274, 2042, 1331, 5329, 707, 1744, 8811, 570, 30349, 779, 10772, 3819, 1310, 31725, 610, 10977, 454, 267, 9319, 519, 946, 540, 10792, 6464, 610, 13526, 6979, 2282, 741, 10772, 267, 5464, 741, 2732, 547, 2327, 789, 2461, 3478, 2614, 5567, 585, 2635, 2960, 543, 10359, 630, 6518, 2882, 519, 4552, 593, 741, 10772, 1070, 543, 1373, 13533, 540, 11959, 602, 1223, 1291, 547, 6553, 610, 16698, 269, 1635, 1739, 891, 2241, 6604, 4388, 7258, 2834, 7738, 2853, 267, 596, 666, 948, 2327, 602, 707, 1744, 8811, 570, 30349, 779, 10772, 3251, 2635, 543, 1863, 689, 3968, 610, 824, 2152, 563, 6524, 4098, 519, 1274, 7738, 1184, 267, 621, 568, 1271, 547, 5531, 782, 2556, 7727, 269, 901, 786, 1118, 519, 1184, 1454, 23704, 543, 3608, 585, 1312, 596, 543, 707, 1744, 8811, 570, 30349, 454, 269, 3371, 568, 513, 1592, 540, 2556, 7727, 912, 290, 9051, 645, 8712, 610, 623, 6758, 454, 290, 9051, 11084, 610, 21181, 616, 606, 1898, 1907, 585, 7738, 707, 1744, 8811, 570, 30349, 779, 10772, 269, 1358, 616, 2571, 543, 9543, 593, 10347, 2960, 267, 1818, 873, 4998, 585, 530, 31441, 2476, 4430, 11935, 689, 519, 1274, 12324, 269, 1717, 267, 2057, 1210, 10412, 2220, 11274, 607, 789, 666, 7903, 11935, 4514, 883, 519, 1274, 12324, 543, 5732, 3441, 707, 2915, 779, 552, 731, 5300, 563, 28606, 11162, 518, 8827, 454, 2467, 616, 3875, 1274, 15777, 3435, 2139, 593, 519, 2344, 267, 855, 711, 782, 540, 873, 616, 5078, 585, 1744, 8811, 570, 30349, 454, 8986, 269, 898, 568, 1655, 547, 5077, 609, 707, 16943, 547, 3313, 799, 6216, 568, 1655, 14018, 585, 707, 2915, 779, 1367, 2115, 269, 13575, 6340, 267, 1413, 585, 606, 4568, 6954, 3070, 602, 3568, 2067, 5820, 971, 607, 620, 4141, 2357, 320, 610, 7401, 3529, 3282, 563, 31339, 15699, 568, 1883, 950, 621, 2501, 547, 4509, 1434, 1274, 9882, 538, 1744, 8811, 570, 345, 639, 269, 5510, 1359, 13000, 1354, 267, 1282, 267, 543, 1310, 519, 7738, 1184, 666, 948, 1711, 2318, 12205, 609, 1274, 1416, 267, 1818, 2104, 7886, 1447, 17173, 585, 1312, 596, 543, 707, 2915, 563, 307, 578, 601, 610, 4223, 454, 2414, 2061, 3190, 525, 543, 1832, 707, 1744, 8811, 570, 30349, 6899, 1282, 519, 7738, 1184, 267, 2015, 11093, 513, 24621, 610, 1319, 593, 513, 7123, 2627, 971, 607, 513, 3349, 610, 4831, 9008, 269, 901, 786, 1683, 513, 5150, 2627, 585, 707, 2915, 547, 1796, 593, 1247, 7303, 873, 689, 1793, 6235, 610, 23510, 563, 294, 1430, 532, 782, 2556, 7727, 1991, 547, 4098, 519, 1274, 7738, 1184, 786, 948, 1118, 1919, 979, 12347, 543, 7561, 269, 2060, 891, 1898, 2645, 693, 1688, 267, 596, 3580, 581, 1732, 9280, 547, 2285, 707, 1744, 8811, 570, 30349, 519, 1274, 1416, 789, 991, 543, 17330, 563, 27609, 532, 2659, 1744, 8811, 570, 30349, 454, 19522, 593, 875, 547, 1118, 707, 2915, 6899, 543, 17159, 1282, 519, 7738, 1184, 454, 2005, 568, 1271, 547, 3314, 602, 585, 1034, 5243, 267, 519, 1274, 7738, 1184, 666, 581, 3833, 13943, 543, 1256, 17559, 269, 4475, 267, 621, 568, 1898, 547, 1118, 707, 1744, 8811, 570, 30349, 1745, 2922, 543, 5150, 1354, 4358, 519, 5650, 269, 1411, 666, 1376, 676, 7836, 513, 1906, 3764, 4620, 1154, 543, 6158, 28663, 547, 707, 2915, 267, 15260, 1005, 873, 538, 513, 9350, 5639, 602, 3388, 568, 15502, 563, 1607, 786, 948, 865, 6139, 741, 13285, 543, 1118, 873, 811, 32615, 547, 519, 1274, 7738, 1184, 269, 6271, 2629, 851, 540, 1818, 707, 1744, 8811, 570, 30349, 6899, 1282, 1274, 7738, 568, 7446, 606, 3617, 4087, 585, 519, 5650, 563, 29613, 958, 267, 596, 1058, 1265, 513, 9602, 267, 1134, 2000, 527, 1858, 1141, 972, 616, 8766, 19240, 269, 5269, 2386, 602, 519, 2627, 596, 3442, 568, 1875, 1606, 331, 2089, 2044, 543, 602, 596, 1747, 1945, 2571, 593, 621, 899, 513, 24621, 610, 24120, 865, 602, 707, 2915, 7959, 811, 6899, 563, 1692, 547, 5265, 1964, 1778, 707, 2915, 952, 2877, 454, 5278, 5243, 949, 711, 581, 18756, 1282, 606, 1274, 268, 2193, 22135, 8400, 267, 2523, 952, 789, 616, 711, 1031, 547, 2348, 741, 10772, 19345, 5781, 610, 952, 789, 723, 4810, 1928, 610, 9636, 538, 741, 10772, 1354, 269, 769, 971, 3871, 267, 621, 949, 581, 2556, 547, 1964, 1778, 707, 1744, 8811, 570, 30349, 9900, 563, 3080, 1259, 540, 1964, 20995, 707, 2915, 568, 676, 28277, 873, 538, 513, 24621, 610, 24120, 609, 1152, 741, 2212, 23578, 856, 689, 835, 1439, 269, 901, 786, 2061, 873, 689, 3001, 1472, 1932, 1454, 1247, 849, 3850, 596, 1569, 547, 741, 10772, 563, 21446, 8271, 267, 596, 666, 3180, 707, 2915, 779, 2212, 9900, 855, 16119, 609, 835, 1688, 1247, 1210, 519, 824, 1688, 585, 1274, 268, 2193, 22135, 5301, 269, 2142, 6297, 711, 547, 25837, 1932, 2182, 607, 713, 949, 2014, 9636, 610, 5945, 563, 2005, 779, 1271, 547, 4063, 602, 1256, 609, 1964, 20995, 2553, 282, 2760, 3180, 610, 3196, 1022, 851, 540, 741, 2212, 883, 513, 11213, 2990, 607, 713, 1223, 2014, 5945, 610, 3441, 269, 14171, 519, 942, 547, 1118, 707, 1744, 8811, 570, 30349, 6899, 543, 17159, 1354, 4358, 519, 1274, 268, 2193, 22135, 1184, 568, 2565, 585, 4180, 513, 2318, 1995, 563, 2252, 2877, 267, 9543, 27047, 842, 666, 581, 1031, 267, 855, 621, 779, 1271, 547, 798, 865, 5402, 543, 1510, 4929, 1928, 610, 9636, 269, 1635, 2870, 513, 9350, 1604, 543, 1210, 3617, 2553, 267, 596, 666, 948, 2327, 602, 707, 2915, 568, 811, 32615, 547, 2348, 741, 10772, 19345, 563, 27662, 532, 2659, 1744, 8811, 570, 30349, 779, 661, 1513, 454, 28274, 2423, 11162, 518, 8827, 454, 6524, 4358, 519, 7738, 1184, 267, 621, 568, 1271, 547, 3442, 519, 1318, 1274, 15777, 3070, 585, 707, 1744, 8811, 570, 30349, 269, 5269, 2386, 547, 5077, 609, 707, 16943, 538, 2013, 707, 2915, 814, 1022, 11959, 610, 8417, 2152, 563, 5629, 596, 723, 519, 3617, 1274, 15777, 3070, 267, 4019, 513, 1906, 12772, 883, 519, 1274, 12324, 543, 9900, 18552, 519, 3490, 540, 519, 1274, 269, 901, 786, 948, 3138, 4923, 1022, 19221, 540, 11935, 543, 14589, 602, 949, 581, 3330, 563, 2005, 568, 1271, 547, 2057, 29780, 4376, 2620, 883, 519, 1274, 12324, 267, 971, 607, 10412, 2220, 11274, 610, 824, 3615, 269, 1452, 666, 3441, 707, 2915, 779, 552, 731, 5300, 543, 2014, 1928, 610, 9636, 563, 22709, 1645, 519, 12476, 540, 519, 2423, 454, 5475, 7311, 519, 1274, 15777, 3070, 267, 18552, 519, 3490, 540, 707, 1744, 8811, 570, 30349, 779, 1274, 585, 476, 736, 268, 1789, 7643, 269, 2142, 9543, 855, 6109, 2614, 547, 948, 1847, 1472, 1022, 11935, 610, 14589, 602, 949, 581, 3330, 269, 901, 786, 849, 948, 15814, 519, 1274, 15777, 3070, 14961, 1369, 519, 1274, 12324, 563, 7628, 713, 1900, 267, 596, 949, 5469, 930, 5277, 1951, 1456, 856, 540, 707, 2915, 779, 10772, 269, 901, 568, 3339, 543, 4397, 607, 621, 6920, 602, 972, 568, 19221, 3330, 602, 2115, 547, 581, 6569, 563, 310, 31441, 589, 3118, 21418, 1546, 11421, 609, 513, 29158, 11831, 454, 12648, 513, 10412, 3440, 543, 9900, 26763, 2476, 1022, 4430, 11935, 602, 2501, 856, 540, 707, 2915, 779, 10772, 1310, 2527, 1645, 873, 269, 2142, 2386, 711, 547, 7903, 1932, 2484, 883, 741, 10772, 607, 713, 666, 22009, 1022, 31797, 610, 3441, 563, 2791, 949, 991, 1896, 10412, 11084, 4470, 593, 875, 1454, 11935, 2501, 856, 267, 865, 1118, 2386, 596, 723, 2614, 593, 1688, 1354, 4358, 269, 898, 568, 1271, 547, 946, 1152, 835, 10412, 3440, 829, 2220, 6559, 538, 1931, 547, 2569, 1022, 4960, 540, 12526, 689, 835, 1274, 547, 1776, 563, 3725, 701, 908, 593, 4033, 2423, 454, 5629, 596, 723, 19345, 835, 1274, 267, 10956, 519, 1184, 593, 519, 824, 1274, 269, 5269, 2386, 547, 946, 513, 4195, 10412, 3440, 585, 1142, 1274, 547, 2057, 1022, 3444, 9762, 8727, 563, 2252, 596, 5469, 1022, 11702, 267, 7050, 11166, 610, 707, 1744, 8811, 570, 30349, 2982, 4191, 540, 1928, 610, 9636, 1282, 713, 1184, 267, 3247, 5612, 543, 5077, 609, 707, 16943, 269, 2659, 2915, 949, 723, 606, 5817, 3390, 602, 3340, 2564, 3007, 563, 14454, 267, 2834, 7738, 540, 707, 1744, 8811, 570, 30349, 779, 10772, 568, 1898, 538, 7303, 5563, 543, 824, 2152, 269, 1635, 1739, 891, 3268, 5402, 267, 596, 666, 948, 2327, 602, 707, 24566, 3659, 779, 10772, 2611, 2635, 543, 2973, 563, 5475, 7738, 707, 1744, 8811, 570, 30349, 779, 10772, 267, 621, 779, 1271, 547, 8007, 873, 585, 741, 9639, 543, 9316, 1282, 519, 1184, 269, 15474, 15699, 568, 1883, 547, 1818, 1274, 7738, 513, 16990, 1995, 585, 707, 2915, 267, 865, 2015, 5356, 873, 513, 1507, 1521, 610, 11442, 607, 513, 8007, 563, 1607, 786, 948, 1628, 3972, 1063, 596, 543, 707, 4620, 267, 1818, 2104, 2973, 902, 4443, 543, 1447, 17173, 269, 769, 1840, 547, 12587, 267, 621, 779, 513, 1434, 2856, 547, 2285, 707, 1744, 8811, 570, 30349, 930, 942, 547, 6001, 1310, 606, 1274, 7738, 8400, 563, 4131, 873, 1964, 538, 513, 6899, 5544, 1141, 789, 666, 21199, 856, 1022, 6967, 11935, 543, 1491, 513, 23040, 952, 789, 3442, 269, 3680, 20392, 873, 547, 10978, 21089, 610, 824, 15128, 602, 1223, 2014, 2566, 610, 9636, 563, 19522, 593, 875, 547, 8007, 707, 2915, 1310, 513, 3811, 7738, 8400, 454, 763, 1655, 1259, 547, 8007, 707, 2915, 1310 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6194, 267, 12676, 294, 476, 1626, 11394, 547, 1711, 513, 5748, 585, 4264, 1646, 543, 513, 811, 12581, 1158, 585, 782, 563, 1103, 3210, 547, 713, 1289, 267, 519, 6735, 4607, 606, 11141, 2698, 540, 476, 1724, 1788, 22347, 3827, 267, 15386, 519, 1053, 685, 5499, 2093, 543, 11428, 269, 634, 3785, 7854, 539, 535, 537, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 11581, 24102, 1315, 9752, 1315, 23527, 1315, 4317, 3163, 1315, 4139, 9534, 4065, 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 ]
[ 2333, 538, 12434, 281, 20270, 10946, 18425, 920, 848, 348, 593, 2715, 10946, 5091, 622, 348, 1422, 333, 5602, 12803, 22182, 6600, 257, 15124, 652, 2530, 538, 12434, 281, 20270, 10946, 318, 1372, 920, 848, 348, 593, 2715, 2381, 5091, 622, 348, 1422, 333, 8442, 3097, 12803, 25379, 3890, 8528, 0, 12163, 306, 9407, 609, 713, 19243, 454, 30182, 3227, 2085, 568, 281, 476, 2412, 269, 271, 454, 323, 272, 2652, 1496, 4343, 267, 476, 2412, 2639, 30182, 3227, 2085, 585, 632, 696, 546, 272, 281, 476, 4375, 269, 271, 454, 323, 273, 2652, 1496, 4375, 267, 476, 6246, 2639, 30182, 3227, 2085, 585, 632, 696, 546, 273, 281, 476, 6078, 269, 271, 454, 20701, 5814, 795, 5459, 7531, 11391, 815, 11713, 720, 815, 11713, 1372, 14186, 720, 815, 11713, 1372, 14186, 815, 11713, 325, 815, 1930, 3488, 11391, 12459, 5459, 10807, 3097, 22322, 11907, 815, 795, 5459, 269, 2903, 6600, 264, 8528, 3698, 1224, 318, 13440, 3581, 10031, 825, 585, 1268, 538, 1239, 9131, 15161, 11172, 912, 1038, 1948, 2745, 9638, 3205, 9131, 4067, 262, 7481, 1038, 3227, 6910, 9638, 3205, 2020, 8931, 3698, 2953, 318, 18196, 10031, 825, 585, 552, 538, 3227, 912, 1038, 552, 9131, 720, 11172, 815, 703, 16216, 9131, 720, 262, 7481, 1038, 552, 9131, 1372, 696, 11172, 815, 1193, 16216, 9131, 1372, 696, 262, 7481, 1038, 1948, 2745, 16216, 9131, 1372, 696, 262, 7481, 1038, 632, 14186, 6910, 16216, 9131, 1372, 696, 262, 7481, 1363, 19638, 3698, 1265, 19963, 2071, 318, 720, 10031, 825, 1285, 326, 318, 720, 815, 2040, 8443, 343, 9131, 720, 11172, 585, 1535, 538, 3227, 8079, 1315, 7003, 263, 11391, 994, 825, 2132, 1285, 326, 318, 720, 692, 3698, 1265, 19963, 2071, 318, 720, 318, 1721, 318, 1372, 696, 263, 1372, 696, 2187, 825, 1948, 2745, 263, 1372, 14186, 994, 825, 1775, 815, 476, 271, 454, 825, 585, 513, 538, 3227, 912, 1038, 952, 630, 1372, 14186, 5157, 316, 2652, 632, 696, 2187, 2018, 632, 14186, 720, 6910, 5416, 9131, 720, 262, 7481, 1038, 1775, 815, 1775, 1341, 476, 272, 692, 825, 1820, 263, 1372, 696, 2437, 2525, 2580, 1372, 14186, 720, 994, 27030, 825, 1285, 326, 323, 815, 2040, 263, 1372, 14186, 720, 8358, 6352, 263, 1372, 14186, 720, 264, 825, 692, 825, 632, 14186, 720, 269, 27234, 10797, 825, 2132, 1285, 326, 323, 454, 672, 19638, 3698, 1292, 10031, 825, 1224, 318, 13440, 3581, 4590, 825, 2953, 318, 18196, 4590, 825, 1948, 2745, 263, 11391, 994, 825, 1820, 2891, 30182, 3227, 2085, 568, 24333, 1265, 19963, 2071, 318, 720, 31156, 825, 1820, 2891, 30182, 3227, 2085, 585, 632, 696, 546, 272, 24333, 1265, 19963, 2071, 318, 720, 318, 1721, 318, 1372, 696, 2891, 323, 272, 27363, 825, 1820, 2891, 30182, 3227, 2085, 585, 632, 696, 546, 273, 24333, 1265, 19963, 2071, 318, 720, 318, 1721, 318, 1372, 696, 2891, 323, 273, 8442, 2020, 825, 1948, 570, 7495, 302, 281, 1684, 1482, 3364, 609, 795, 5459, 3758, 3079, 540, 26417, 3758, 7531, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1292, 3890, 0, 258, 17387, 532, 519, 8021, 454, 5814, 11885, 607, 5286, 454, 5814, 21795, 607, 19073, 454, 5814, 21267, 28272, 607, 12301, 692, 10177, 1456, 12774, 815, 1496, 454, 825, 18358, 16675, 3299, 476, 274, 267, 1412, 7343, 548, 11172, 2676, 825, 18358, 312, 3641, 3299, 476, 274, 267, 1412, 7343, 548, 11172, 2676, 825, 18358, 16446, 3299, 476, 272, 267, 1412, 294, 7275, 11172, 2676, 825, 18358, 16446, 3299, 476, 272, 267, 1412, 294, 7275, 11172, 2676, 825, 18358, 312, 3641, 3299, 476, 274, 267, 1412, 299, 655, 517, 11172, 2676, 6540, 3650, 518, 815, 18358, 21760, 12887, 291, 3554, 2678, 12887, 299, 8475, 262, 6540, 258, 14303, 5281, 519, 8675, 9967, 540, 519, 1293, 540, 519, 1585, 5049, 4540, 538, 519, 1239, 563, 3698, 1362, 18045, 16597, 2187, 825, 1948, 8310, 6241, 568, 519, 6003, 540, 519, 10471, 454, 825, 10297, 815, 1496, 992, 15631, 272, 316, 585, 4737, 538, 1239, 6540, 825, 1293, 815, 15079, 16875, 1948, 15575, 9218, 454, 825, 585, 6003, 538, 10297, 912, 1038, 952, 6003, 711, 538, 1293, 912, 2018, 1293, 314, 16932, 316, 815, 476, 272, 454, 1038, 3116, 912, 2018, 1293, 314, 16932, 316, 6834, 476, 272, 454, 825, 2132, 1293, 692, 258, 15612, 919, 519, 575, 7236, 791, 12053, 538, 519, 1239, 454, 3698, 575, 7236, 318, 11069, 12053, 16597, 2187, 825, 1948, 8269, 518, 547, 519, 28957, 2985, 540, 17423, 10326, 585, 811, 9623, 563, 825, 1948, 13528, 3121, 2433, 476, 272, 910, 630, 335, 314, 272, 316, 1262, 273, 1341, 533, 314, 273, 316, 1262, 273, 1341, 533, 314, 274, 316, 1262, 273, 1341, 533, 314, 275, 316, 1262, 273, 1341, 10371, 1862, 994, 825, 1948, 3602, 476, 533, 5157, 316, 568, 5506, 540, 519, 476, 603, 6003, 538, 519, 1239, 454, 825, 10297, 6831, 660, 815, 1362, 18045, 16597, 994, 825, 9343, 815, 7003, 16597, 994, 825, 791, 12053, 815, 476, 272, 454, 825, 585, 6003, 538, 10297, 6831, 660, 912, 1038, 791, 12053, 815, 791, 12053, 910, 630, 18350, 1564, 6831, 660, 314, 16932, 316, 1315, 9343, 264, 1262, 273, 454, 825, 2132, 791, 12053, 692, 258, 15612, 566, 540, 519, 1344, 2744, 547, 3313, 519, 1732, 24590, 4183, 454, 3698, 9623, 14682, 664, 263, 3847, 15220, 843, 267, 2431, 15220, 843, 267, 6265, 328, 7272, 1861, 2187, 825, 1948, 13528, 3121, 815, 575, 7236, 7272, 1861, 910, 630, 322, 636, 11494, 575, 7236, 540, 1312, 1126, 338, 994, 825, 1948, 290, 636, 11494, 575, 7236, 815, 533, 2608, 575, 7236, 263, 3847, 15220, 843, 264, 1341, 630, 272, 1790, 264, 2608, 575, 7236, 263, 2431, 15220, 843, 264, 26905, 335, 568, 519, 8167, 540, 2451, 15220, 843, 538, 2698, 454, 825, 533, 815, 7003, 263, 3847, 15220, 843, 264, 1315, 630, 6352, 263, 3847, 15220, 843, 264, 1341, 7003, 263, 2431, 15220, 843, 4917, 825, 1948, 3080, 609, 519, 5207, 1344, 2744, 1131, 581, 2808, 607, 519, 1655, 4244, 454, 825, 2132, 575, 7236, 7272, 1861, 910, 533, 2608, 575, 7236, 318, 11069, 12053, 263, 3847, 15220, 843, 264, 910, 630, 272, 1790, 264, 2608, 575, 7236, 318, 11069, 12053, 263, 2431, 15220, 843, 2020, 258, 12218, 17423, 10326, 454, 5035, 17423, 21698, 12218, 8595, 912, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 6745, 872, 815, 7183, 22562, 825, 1948, 13425, 2436, 519, 3403, 3732, 13292, 609, 519, 4183, 540, 8237, 454, 825, 1362, 7726, 912, 1038, 1219, 6449, 8181, 9191, 1345, 267, 10623, 1155, 267, 10623, 1155, 26371, 2187, 2018, 1582, 8807, 324, 1155, 815, 4183, 454, 2018, 1582, 8807, 324, 1155, 26371, 815, 4183, 26371, 28329, 1038, 1219, 6474, 4311, 267, 992, 2187, 2018, 1948, 21652, 1782, 519, 6613, 20143, 4578, 454, 2018, 952, 568, 27349, 21405, 314, 1345, 8807, 324, 1155, 3910, 842, 264, 610, 568, 27349, 21405, 314, 1345, 8807, 324, 1155, 3910, 15615, 2187, 3546, 2132, 4737, 314, 1345, 8807, 324, 1155, 316, 13843, 1582, 8807, 324, 1155, 26371, 454, 2018, 1948, 21652, 1782, 519, 595, 1538, 5566, 4578, 454, 2018, 3116, 912, 3546, 2132, 4737, 314, 1345, 8807, 324, 1155, 316, 2652, 1582, 8807, 324, 1155, 26371, 22562, 825, 1948, 8512, 1431, 519, 1239, 1759, 593, 519, 4183, 8237, 799, 568, 8659, 538, 519, 834, 23896, 4840, 825, 1219, 15652, 4311, 267, 11907, 267, 23896, 2187, 1038, 1948, 2005, 851, 1431, 519, 2898, 1239, 883, 519, 9343, 799, 2893, 626, 344, 519, 2175, 543, 1346, 945, 1810, 1405, 454, 1038, 3020, 318, 4900, 815, 11713, 1038, 7301, 318, 4900, 815, 11713, 1038, 585, 4737, 538, 1239, 912, 2018, 952, 2243, 6230, 2255, 21405, 2187, 3546, 3020, 318, 4900, 6910, 21405, 994, 2018, 3116, 912, 3546, 7301, 318, 4900, 6910, 21405, 994, 1038, 2132, 3020, 318, 4900, 2073, 7301, 318, 4900, 22562, 825, 1948, 23804, 519, 1655, 1448, 540, 8237, 454, 825, 1219, 1655, 5334, 5902, 4311, 267, 11907, 2187, 1038, 9343, 267, 10623, 2137, 815, 5286, 15126, 16597, 1040, 27729, 454, 1038, 2934, 20699, 476, 272, 672, 1948, 2750, 6984, 519, 6003, 6241, 28329, 1038, 575, 7236, 7272, 1861, 815, 575, 7236, 318, 11069, 12053, 16597, 994, 1038, 1655, 14682, 664, 815, 476, 271, 454, 1038, 1655, 318, 13196, 815, 7183, 454, 1038, 585, 4183, 538, 2039, 6600, 324, 2137, 2187, 2018, 2189, 6958, 324, 2137, 815, 1592, 263, 3553, 8443, 992, 314, 10623, 1155, 316, 585, 4737, 538, 1239, 28413, 2018, 585, 2189, 538, 2189, 6958, 324, 2137, 912, 3546, 2243, 815, 1582, 269, 9223, 6600, 324, 1155, 267, 684, 1664, 994, 3546, 3020, 318, 4900, 267, 32401, 318, 4900, 815, 1582, 269, 4820, 819, 16597, 267, 23896, 994, 3546, 952, 7003, 6025, 4902, 318, 4900, 264, 2525, 271, 610, 7003, 6600, 4426, 318, 4900, 264, 2525, 271, 912, 7386, 1780, 454, 3546, 2744, 815, 9623, 14682, 664, 6025, 4902, 318, 4900, 267, 32401, 318, 4900, 267, 6265, 328, 7272, 1861, 994, 3546, 1948, 21008, 532, 609, 519, 1655, 2744, 865, 2484, 454, 3546, 952, 2744, 13843, 1655, 14682, 664, 912, 7386, 1655, 14682, 664, 267, 12895, 318, 13196, 815, 2744, 267, 23896, 454, 1038, 2132, 1655, 14682, 664, 267, 12895, 318, 13196, 22562, 825, 1948, 21010, 532, 519, 2385, 6843, 609, 922, 1126, 454, 825, 1362, 17423, 11966, 912, 1038, 1219, 6449, 8181, 9191, 1345, 267, 23896, 267, 3847, 318, 1962, 21123, 267, 2431, 318, 1962, 21123, 2187, 2018, 1582, 269, 23896, 815, 2243, 454, 2018, 1582, 16000, 318, 1962, 21123, 815, 2451, 318, 1962, 21123, 454, 2018, 1582, 16192, 318, 1962, 21123, 815, 1318, 318, 1962, 21123, 22562, 825, 1948, 11847, 19948, 540, 519, 6978, 6843, 454, 825, 1362, 23516, 912, 1038, 1219, 6449, 8181, 9191, 1345, 267, 4900, 2187, 2018, 1582, 4877, 9438, 687, 815, 1362, 18045, 263, 4900, 994, 8931, 825, 1948, 19465, 519, 570, 12767, 454, 825, 1219, 1628, 4671, 872, 4311, 267, 11907, 2187, 1038, 2744, 2073, 844, 525, 815, 1582, 12500, 652, 5334, 5902, 16597, 994, 1038, 952, 2744, 2652, 476, 271, 912, 2018, 2132, 1582, 269, 8867, 2378, 16597, 994, 1038, 3020, 318, 4900, 267, 32401, 318, 4900, 815, 1582, 269, 4820, 819, 16597, 267, 13196, 994, 1038, 1318, 318, 1962, 21123, 815, 1582, 12500, 4265, 4671, 872, 6025, 4902, 318, 4900, 994, 1038, 2451, 318, 1962, 21123, 815, 1582, 12500, 4265, 4671, 872, 6600, 4426, 318, 4900, 994, 1038, 2132, 1582, 6185, 1815, 1707, 11966, 263, 13196, 267, 3847, 318, 1962, 21123, 267, 2431, 318, 1962, 21123, 994, 8931, 825, 1948, 19530, 532, 519, 3529, 454, 825, 1219, 1820, 4671, 872, 4311, 19885, 1712, 267, 4944, 5217, 284, 3269, 2187, 1038, 952, 568, 27349, 27316, 267, 1345, 269, 8867, 2378, 2187, 2018, 1820, 4433, 335, 5217, 10086, 303, 9438, 281, 22207, 27161, 4877, 9438, 687, 994, 2018, 2132, 454, 1038, 1948, 19530, 519, 2055, 454, 1038, 844, 525, 815, 6843, 269, 23896, 454, 1038, 952, 568, 27349, 263, 13196, 8807, 324, 1155, 26371, 267, 1598, 2187, 2018, 1820, 4433, 335, 5217, 2437, 3674, 2580, 3650, 518, 314, 13196, 8807, 324, 1155, 316, 2437, 2525, 2580, 13196, 8807, 324, 1155, 26371, 2437, 286, 5602, 1038, 3116, 912, 2018, 1820, 4433, 335, 5217, 2437, 3674, 2580, 3650, 518, 314, 13196, 8807, 324, 1155, 316, 2437, 285, 284, 2580, 13196, 8807, 324, 1155, 26371, 2437, 286, 5602, 1038, 1948, 12148, 7936, 912, 1038, 1820, 4433, 335, 5217, 10086, 15010, 12148, 281, 5073, 1038, 1582, 31428, 4671, 872, 27316, 16192, 318, 1962, 21123, 267, 4944, 5217, 284, 4944, 5217, 266, 257, 476, 19515, 1038, 1948, 16178, 7936, 912, 1038, 1820, 4433, 335, 5217, 10086, 15010, 16178, 281, 5073, 1038, 1582, 31428, 4671, 872, 27316, 16000, 318, 1962, 21123, 267, 4944, 5217, 284, 4944, 5217, 266, 257, 476, 19515, 13872, 825, 1948, 12218, 1518, 519, 1449, 1871, 454, 825, 1219, 19665, 4311, 19885, 1712, 267, 11687, 2187, 1038, 952, 568, 27349, 27316, 267, 1345, 269, 8867, 2378, 2187, 2018, 11236, 815, 6843, 4877, 9438, 687, 454, 2018, 2698, 815, 2040, 17338, 9638, 9438, 687, 269, 11161, 3890, 4917, 2018, 585, 3589, 538, 11236, 912, 3546, 11236, 314, 335, 9438, 316, 2608, 284, 630, 1911, 14121, 4973, 264, 3097, 2018, 1820, 3488, 303, 9438, 539, 281, 3299, 335, 9438, 687, 994, 2018, 2132, 454, 1038, 952, 6843, 269, 23896, 6230, 2255, 6025, 652, 2187, 2018, 2132, 1582, 269, 5035, 1518, 27316, 16192, 318, 1962, 21123, 267, 11687, 994, 1038, 3116, 912, 2018, 2132, 1582, 269, 5035, 1518 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18453, 543, 824, 12178, 2899, 621, 568, 27358, 269, 589, 5057, 585, 1439, 4812, 7020, 543, 3210, 630, 3633, 305, 264, 568, 849, 513, 851, 540, 930, 3435, 269, 11628, 6937, 899, 26340, 545, 6285, 267, 18453, 267, 543, 4642, 6377, 6285, 666, 581, 1336, 7064, 547, 661, 11403, 7207, 269, 634, 661, 11403, 1062, 666, 1683, 8476, 15287, 543, 513, 2039, 540, 3210, 3681, 676, 3351, 2358, 6024, 5464, 563, 1432, 4018, 5809, 607, 606, 1439, 4812, 888, 17484, 9557, 666, 1331, 1447, 4122, 2219, 6361, 19269, 899, 912, 268, 16353, 3457, 7305, 1206, 454, 268, 11154, 633, 29167, 454, 268, 11010, 1562, 267, 13763, 267, 543, 11083, 16039, 454, 268, 2564, 3937, 454, 15253, 7859, 585, 1439, 4812, 4027, 454, 17484, 4812, 3354, 3301, 1419, 814, 519, 1739, 1898, 2609, 912, 268, 4635, 3684, 1565, 8760, 547, 3533, 1265, 1007, 6937, 563, 268, 10466, 689, 18453, 2066, 513, 3099, 540, 1439, 4812, 3457, 543, 5665, 1949, 568, 3177, 676, 4359, 28456, 543, 1884, 2711, 2264, 3301, 563, 268, 1160, 5562, 1357, 3354, 547, 2327, 5150, 19855, 593, 519, 1357, 563, 268, 1677, 3247, 1239, 2530, 543, 608, 325, 2830, 1674, 267, 946, 1239, 8760, 543, 2530, 6604, 563, 268, 589, 3710, 2987, 31216, 547, 555, 23702, 17351, 3060, 6285, 563, 268, 19478, 24891, 547, 3247, 8942, 693, 26122, 543, 1514, 4702, 1500, 1996, 707, 5234, 563, 268, 8556, 21116, 666, 24847, 20586, 5563, 7064, 547, 29829, 3463, 2062, 985, 923, 563, 268, 10466, 689, 1202, 3187, 6937, 547, 2061, 3483, 995, 543, 538, 30541, 550, 7180, 563, 268, 589, 3760, 585, 3844, 2213, 1439, 4812, 2359, 547, 2333, 15287, 543, 20928, 3157, 563, 268, 1677, 3247, 1239, 608, 325, 2830, 1674, 267, 946, 1439, 4812, 267, 4757, 267, 543, 1167, 14238, 563, 25565, 28456, 3301, 8957, 1439, 4812, 4027, 1949, 563, 25565, 28456, 3435, 543, 1439, 4812, 4027, 5867, 630, 7968, 303, 264, 8428, 538, 1896, 1271, 3344, 563, 15187, 1740, 3354, 607, 10353, 547, 1439, 4812, 3354, 563, 12901, 643, 6400, 3435, 616, 2966, 547, 9718, 513, 2582, 1439, 4812, 267, 5356, 15287, 883, 543, 4749, 1175, 689, 602, 1439, 4812, 269, 1717, 267, 1439, 4812, 3354, 3301, 3217, 513, 11455, 1935, 547, 519, 2754, 3060, 543, 666, 1683, 15287, 540, 1169, 4448, 1439, 4812, 689, 513, 2582, 1747, 563, 28606, 17067, 8747, 540, 28456, 3301, 2838, 3755, 547, 16924, 9337, 519, 12240, 610, 11863, 10311, 693, 24441, 2053, 269, 21768, 11679, 1683, 10562, 3354, 602, 19132, 2359, 11645, 547, 606, 3919, 779, 8668, 610, 14590, 5234, 563, 2414, 12398, 5563, 267, 2757, 28456, 15961, 1031, 15040, 2861, 7020, 269, 901, 22466, 602, 596, 1522, 1869, 581, 538, 8594, 952, 707, 2754, 729, 21111, 20023, 610, 952, 707, 3755, 22821, 1406, 5063, 8242, 741, 28456, 3301, 269, 7073, 661, 13048, 1949, 616, 8850, 6854, 909, 547, 4266, 676, 3351, 2358, 519, 6531, 269, 3958, 267, 5892, 32373, 539, 4220, 666, 581, 4362, 1759, 593, 19035, 7180, 676, 1210, 2029, 899, 24040, 2079, 563, 22069, 1903, 585, 4359, 1439, 4812, 3354, 454, 25219, 559, 1944, 5062, 17682, 2465, 28456, 568, 1360, 2241, 269, 2659, 1062, 666, 581, 19345, 909, 1510, 1210, 513, 2603, 540, 1062, 2200, 269, 634, 2101, 4324, 568, 602, 519, 2123, 31216, 2501, 609, 519, 28456, 10872, 585, 1863, 269, 0, 288, 5619, 540, 2732, 1582, 30797, 543, 1426, 6981, 538, 1053, 609, 1164, 543, 1970, 9228, 2566, 563, 329, 16067, 9295, 14006, 539, 593, 476, 1708, 272, 268, 4962, 268, 2641, 267, 476, 1321, 281, 5881, 30363, 676, 7605, 2106, 590, 269, 715, 770, 2532, 514, 267, 5981, 18588, 808, 269, 674, 328, 665, 1723, 454, 29020, 281, 9717, 519, 4473, 538, 8377, 543, 8377, 5829, 4713, 267, 1620, 519, 2078, 1063, 2566, 267, 1582, 30797, 543, 1426, 3903, 538, 1762, 15296, 949, 723, 6286, 585, 7303, 2942, 1072, 4093, 2663, 538, 1272, 602, 6565, 689, 4057, 4189, 6208, 269, 634, 1699, 1353, 8947, 2436, 2566, 2157, 543, 2732, 1582, 30797, 949, 581, 2404, 609, 14432, 4189, 6208, 538, 1762, 4079, 269, 10613, 281, 22503, 543, 4775, 15938, 1053, 630, 301, 815, 476, 15793, 264, 6192, 26830, 602, 7148, 883, 2732, 1582, 30797, 630, 9169, 292, 1070, 9228, 2566, 630, 4916, 1070, 9770, 267, 543, 3170, 6981, 269, 11557, 3604, 538, 3903, 540, 1426, 941, 10567, 267, 543, 1970, 2157, 540, 9228, 2566, 543, 1164, 2732, 1582, 30797, 941, 4397, 547, 581, 2404, 609, 2539, 3170, 543, 9770, 6981, 269, 11778, 281, 28454, 5815, 606, 5872, 1063, 9228, 2566, 543, 2732, 1582, 30797, 593, 3170, 6981, 543, 513, 1292, 1198, 585, 2732, 1582, 30797, 593, 9770, 6981, 538, 713, 2551, 269, 1306, 4397, 267, 1970, 2157, 540, 9228, 2566, 543, 1164, 2732, 1582, 30797, 941, 2404, 609, 519, 9803, 2157, 540, 3170, 543, 9770, 6981, 538, 1053, 269, 28454, 941, 9141, 676, 8951, 269, 1230, 7501, 281, 901, 1353, 2488, 16861, 2963, 602, 2732, 1582, 30797, 543, 9228, 2566, 2157, 9305, 547, 8770, 6981, 538, 1762, 2937, 8951, 267, 543, 602, 2810, 2732, 1582, 30797, 543, 4227, 9228, 2566, 538, 1762, 2937, 8951, 949, 1291, 547, 20214, 538, 3170, 543, 9770, 6981, 267, 3056, 547, 8902, 4189, 6208, 269, 0, 2750, 322, 1746, 3377, 1107, 519, 2142, 710, 651, 7732, 693, 23171, 814, 11751, 513, 5458, 4015, 540, 19291, 30463, 779, 1920, 779, 16150, 9248, 689, 513, 4357, 21689, 267, 3220, 269, 19124, 27213, 267, 945, 814, 993, 21724, 606, 9058, 4015, 540, 3979, 1977, 2326, 269, 594, 1101, 4862, 827, 891, 2063, 1032, 950, 594, 729, 513, 8284, 693, 519, 717, 843, 518, 2274, 15590, 2006, 4741, 585, 519, 5530, 540, 26913, 267, 18650, 267, 543, 589, 2513, 819, 269, 6424, 2349, 697, 6045, 602, 646, 729, 9250, 593, 1010, 17240, 12688, 20421, 12092, 540, 19291, 30463, 950, 3220, 269, 27213, 4951, 1864, 713, 4015, 267, 543, 6424, 7691, 1018, 513, 5763, 540, 5892, 23257, 1819, 1344, 891, 16150, 9248, 4371, 269, 594, 1413, 4464, 547, 3695, 873, 267, 543, 4126, 789, 786, 849, 581, 7857, 1242, 563, 763, 16150, 1504, 3254, 538, 1715, 3840, 8648, 2376, 568, 2250, 539, 883, 606, 2025, 24432, 1433, 2443, 1100, 9983, 547, 4896, 945, 814, 6743, 693, 476, 866, 628, 2540, 16150, 9248, 543, 2938, 2789, 2010, 540, 19074, 693, 960, 563, 1103, 519, 29291, 267, 596, 666, 1294, 1079, 540, 19291, 30463, 779, 1378, 16150, 9248, 689, 476, 6245, 271, 543, 476, 6245, 273, 267, 7857, 1242, 676, 519, 7732, 540, 6837, 281, 4179, 2517, 4178, 7456, 665, 10993, 270, 14403, 8276, 325, 323, 269, 26392, 6349, 270, 543, 4179, 2517, 4178, 7456, 665, 10993, 270, 14403, 8276, 325, 323, 269, 26392, 6734, 270, 6145, 1082, 476, 866, 628, 2540, 16150, 9248, 267, 789, 941, 2250, 539, 883, 2025, 2229, 5359, 269, 0, 295, 26721, 1911, 274, 16677, 698, 9609, 540, 3778, 630, 276, 1835, 994, 4002, 12032, 540, 519, 2090, 1053, 786, 454, 268, 1174, 519, 8847, 543, 21437, 540, 3140, 3206, 454, 268, 581, 26256, 529, 656, 540, 519, 1382, 3490, 5817, 519, 3450, 540, 1686, 543, 540, 1382, 593, 519, 27380, 540, 1686, 454, 268, 5432, 2213, 2933, 609, 930, 1808, 3390, 17640, 547, 519, 3450, 540, 1686, 454, 4002, 12032, 540, 519, 2090, 998, 3346, 3450, 1053, 786, 849, 723, 454, 268, 9715, 1995, 540, 1895, 1740, 543, 4824, 741, 7317, 1983, 454, 268, 8476, 741, 5711, 7317, 1983, 543, 19908, 1983, 454, 268, 9715, 1983, 585, 5665, 538, 1007, 3871, 454, 4002, 12032, 540, 519, 2090, 998, 18362, 593, 1305, 2835, 1053, 786, 849, 723, 454, 268, 8476, 741, 1966, 9010, 1983, 454, 268, 4824, 741, 2854, 1983, 543, 4661, 566, 1983, 454, 268, 9715, 1983, 538, 519, 2079, 540, 1344, 543, 519, 2702, 547, 10146, 3573, 9988, 454, 4002, 12032, 540, 519, 2090, 676, 1603, 3594, 1053, 786, 811, 591, 723, 454, 268, 4121, 811, 827, 1344, 5275, 543, 1603, 3621, 1257, 454, 268, 8476, 741, 2854, 2792, 543, 4661, 566, 1983, 454, 268, 9715, 1995, 540, 1788, 1983, 676, 4058, 741, 1378, 3527, 543, 946, 540, 942, 454, 30874, 7589, 538, 3450, 543, 2854, 10467, 610, 11000, 981, 269, 7388, 5406, 676, 4830, 1353, 1107, 1557, 610, 1433, 981, 269, 15765, 7589, 538, 519, 1353, 1895, 543, 2854, 10467, 563, 2414, 2347, 519, 2090, 1210, 1305, 2835, 1053, 786, 2824, 1568, 689, 519, 1739, 1592, 538, 971, 513, 1259, 607, 547, 10536, 476, 276, 2798, 269, 14893, 540, 2835, 585, 3594, 547, 581, 8815, 538, 4434, 609, 519, 4116, 538, 5279, 563, 268, 19258, 517, 267, 3223, 603, 595, 269, 1299, 23821, 560, 1731, 267, 27692, 267, 9752, 3778, 585, 519, 5871, 6153, 630, 1001, 274, 264, 630, 273, 641, 994, 268, 5096, 625, 267, 27950, 267, 13891, 919, 538, 3778, 9752, 630, 1001, 271, 270, 1001, 278, 264, 630, 273, 641, 994, 268, 1530, 1460, 553, 267, 8834, 1299, 18200, 517, 267, 8751, 267, 634, 8262, 14520, 8466, 15154, 16610, 630, 1001, 274, 264, 630, 273, 641, 994, 268, 26890, 6359, 7637, 267, 17555, 267, 16677, 698, 690, 17470, 513, 329, 3430, 601, 684, 1183, 327, 527, 1399, 2381, 523, 513, 710, 523, 641, 9116, 1690, 1678, 9567, 583, 340, 802, 612, 320, 281, 4691, 330, 574, 639, 647, 528, 10052, 15856, 16695, 14787, 1566, 9116, 24652, 641, 7416, 601, 6359, 334, 16695, 630, 1001, 274, 264, 630, 273, 641, 994, 268, 29879, 7921, 267, 6341, 267, 8466, 15154, 543, 4033, 1133, 11499, 20450, 630, 1220, 272, 264, 630, 273, 641, 994, 268, 589, 13568, 5789, 18145, 281, 16024, 1014, 737, 7564, 344, 1777, 7238, 795, 320, 1566, 28127, 269, 808, 4157, 6390, 681, 656, 8403, 267, 11184, 330, 6390, 13259, 517, 523, 630, 1001, 276, 264, 630, 272, 641, 994, 268, 700, 7564, 327, 974, 650, 7564, 281, 16024, 1014, 512, 7159, 334, 10937, 1727, 527, 684, 928, 4068, 269, 17555, 26890, 6359, 7637, 267, 3244, 334, 631, 1731, 330, 517, 523, 630, 1001, 280, 264, 630, 272, 641, 994, 27396, 566, 538, 3450, 630, 276, 1835, 994, 5715, 8817, 1353, 281, 1557, 630, 276, 1835, 994, 5715, 8817, 1353, 281, 6514, 630, 276, 1835, 994, 309, 334, 527, 751, 24863, 7564, 17895, 514, 552, 307, 550, 339, 514, 7564, 563, 5715, 8817, 1353, 630, 276, 1835, 994, 298, 520, 810, 512, 1046, 520, 647, 528, 7978, 2129, 16660, 564, 16024, 1014, 795, 320, 1696, 333, 860, 1014, 3288, 527, 758, 11420, 2357, 330, 330, 657, 643, 16742, 320, 795, 320, 865, 12858, 647, 528, 15856, 802, 652, 320, 1696, 4157, 7564, 10117, 17895, 320, 3430, 528, 514, 737, 753, 21542, 269, 0, 27144, 769, 518, 520, 640, 4173, 323, 2006, 630, 9264, 280, 1107, 476, 6642, 279, 264, 568, 2808, 835, 540, 519, 1655, 1806, 540, 1686, 7206, 538, 10430, 1282, 519, 16972, 5736, 269, 898, 568, 3020, 602, 2429, 1010, 4876, 646, 849, 13556, 1585, 23609, 607, 1134, 607, 4277, 8916, 585, 799, 646, 1031, 519, 1216, 10233, 4480, 267, 855, 1510, 513, 8969, 1010, 6574, 13007, 729, 538, 10367, 602, 9676, 519, 1883, 14501, 543, 3197, 538, 13677, 1686, 269, 2368, 1568, 602, 10423, 569, 4951, 519, 1034, 11509, 3344, 540, 1346, 11271, 689, 519, 2250, 563, 763, 674, 732, 6202, 540, 6307, 594, 676, 7917, 4173, 323, 2006, 454, 288, 1434, 1383, 568, 713, 7206, 689, 476, 5908, 278, 6131, 547, 6307, 26573, 630, 15150, 273, 1107, 476, 15647, 278, 1040, 901, 4807, 729, 27746, 594, 540, 10430, 24992, 519, 1296, 476, 15150, 273, 543, 476, 14444, 278, 269, 2701, 934, 17660, 547, 519, 17599, 950, 1352, 729, 1152, 3670, 2395, 2025, 269, 2701, 2417, 3467, 267, 950, 1352, 729, 18923, 476, 1626, 1296, 2025, 267, 1352, 9310, 293, 3757, 30241, 267, 519, 2104, 6362, 540, 5333, 267, 609, 7247, 1352, 4166, 2968, 15596, 931, 677, 269, 1717, 267, 602, 9769, 16768, 1360, 2370, 942, 267, 950, 1200, 9393, 5747, 538, 476, 14444, 271, 269, 1924, 16172, 1310, 519, 1762, 4807, 1352, 2451, 5333, 547, 2132, 547, 10430, 563, 2005, 568, 10502, 713, 2132, 547, 1200, 2197, 602, 6799, 721, 609, 519, 4605, 540, 27144, 4173, 323, 2006, 269, 1323, 3239, 538, 799, 1352, 28107, 9887, 607, 3057, 17144, 6480, 340, 16037, 2451, 609, 28194, 267, 6028, 3297, 513, 2197, 1141, 1352, 1185, 1044, 5701, 1134, 543, 1352, 1185, 4607, 513, 2347, 2069, 269, 769, 1249, 267, 972, 616, 16499, 23888, 602, 2161, 602, 519, 11071, 6202, 729, 11213, 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 ]
[ 875, 649, 666, 3251, 6619, 540, 3384, 9178, 1282, 5959, 11564, 563, 14106, 1043, 14791, 269, 1703, 616, 7298, 4191, 513, 8036, 11290, 949, 5469, 602, 1448, 547, 5694, 9178, 269, 14755, 606, 2907, 4646, 8559, 610, 13570, 267, 649, 1522, 849, 4584, 909, 593, 824, 8966, 23079, 899, 3043, 5544, 15087, 281, 891, 13581, 6926, 332, 8460, 1419, 2049, 538, 519, 2127, 540, 3346, 609, 824, 4522, 267, 799, 649, 666, 1521, 609, 22521, 21973, 563, 311, 17530, 269, 901, 6836, 543, 3020, 10368, 1907, 814, 1044, 513, 1292, 560, 599, 540, 5959, 1416, 585, 5176, 513, 2540, 269, 634, 2592, 789, 3132, 666, 5815, 9178, 607, 18632, 9634, 610, 2127, 593, 610, 1369, 519, 5694, 602, 949, 711, 2943, 581, 7298, 547, 519, 3750, 269, 1656, 609, 8441, 538, 3059, 4393, 543, 811, 29765, 3937, 267, 649, 666, 3927, 798, 713, 609, 513, 1360, 1970, 18262, 540, 5982, 4598, 563, 28723, 2029, 269, 1284, 4076, 2919, 824, 1797, 585, 1732, 2068, 7020, 602, 9148, 1535, 17530, 543, 3308, 24422, 269, 7981, 1242, 9145, 8554, 543, 22795, 616, 1631, 1271, 2645, 585, 7421, 16143, 2127, 540, 2038, 9178, 563, 10214, 952, 9178, 4991, 513, 9087, 1054, 1245, 649, 666, 3927, 3247, 621, 543, 11177, 513, 5694, 609, 513, 3597, 12324, 2126, 610, 513, 2147, 5650, 269, 634, 1655, 6364, 267, 1498, 267, 568, 547, 711, 1450, 713, 16160, 2068, 547, 1205, 602, 2484, 269, 2060, 6131, 5711, 9882, 543, 2834, 5959, 11564, 602, 10625, 2038, 9178, 267, 8458, 616, 1434, 707, 4522, 666, 2611, 2635, 585, 513, 10715, 563, 2252, 596, 1131, 899, 811, 1344, 593, 8165, 5694, 9178, 267, 5225, 3346, 721, 610, 8430, 606, 13393, 585, 513, 15360, 269, 1411, 666, 849, 1451, 811, 827, 713, 1888, 676, 2542, 519, 31351, 16362, 12139, 2376, 968, 2414, 1054, 5463, 599, 281, 1215, 547, 8178, 2659, 11485, 3034, 2414, 1054, 9178, 568, 513, 3810, 16160, 5959, 2068, 267, 3743, 2059, 609, 27731, 630, 326, 636, 264, 2068, 585, 1034, 2937, 5694, 2530, 269, 1656, 649, 1831, 1256, 811, 11630, 547, 621, 607, 649, 1205, 4587, 563, 3080, 1106, 540, 9178, 602, 779, 2523, 7986, 1851, 9972, 4079, 568, 513, 3597, 13570, 269, 5381, 547, 513, 13570, 538, 519, 13862, 630, 6665, 1043, 5694, 1070, 713, 1106, 3079, 4386, 693, 610, 2630, 519, 10733, 1899, 538, 519, 5072, 269, 1358, 4755, 5631, 1317, 519, 5072, 723, 1831, 6534, 1813, 547, 10733, 21748, 267, 513, 1455, 12343, 540, 27731, 630, 326, 636, 264, 2068, 543, 5924, 17678, 1932, 2182, 563, 2750, 12723, 5072, 616, 5393, 7925, 547, 2068, 1317, 789, 1810, 1406, 723, 519, 4324, 540, 8825, 19596, 899, 519, 5694, 13862, 267, 4988, 3079, 609, 513, 6094, 543, 1447, 8825, 7777, 6438, 1570, 1572, 9160, 636, 269, 28611, 267, 602, 779, 711, 513, 1966, 1317, 519, 14779, 602, 1131, 7363, 3382, 873, 2709, 519, 13557, 540, 519, 4027, 269, 1809, 609, 519, 14779, 973, 17660, 267, 519, 5072, 1590, 4096, 593, 519, 1447, 15807, 9160, 636, 585, 4027, 1996, 2068, 563, 7212, 649, 1521, 3597, 19659, 538, 513, 2147, 1259, 547, 1346, 538, 519, 13862, 676, 9427, 9178, 539, 2497, 543, 1287, 11423, 873, 267, 972, 779, 1419, 606, 3773, 7411, 538, 17034, 873, 2630, 519, 10733, 1899, 269, 5221, 540, 922, 4087, 649, 949, 991, 547, 4907, 1227, 4283, 998, 519, 14779, 547, 3914, 519, 13570, 269, 901, 666, 2333, 519, 4674, 543, 13258, 547, 1521, 873, 563, 2005, 779, 1655, 1287, 547, 2061, 873, 952, 693, 782, 2009, 269, 901, 1797, 8026, 3232, 17678, 543, 29781, 547, 4894, 9190, 15799, 267, 519, 6094, 267, 3710, 5346, 6915, 28291, 593, 4522, 1034, 3743, 585, 1312, 5694, 9178, 543, 10733, 2068, 269, 1411, 1058, 849, 3643, 707, 11290, 693, 2547, 7466, 513, 1032, 585, 3318, 2973, 902, 543, 4359, 6604, 2409, 899, 22521, 21973, 547, 7794, 1022, 693, 16151, 4522, 563, 2791, 1058, 849, 3343, 7525, 2126, 693, 519, 1101, 1129, 540, 10733, 2068, 547, 948, 2061, 10733, 21748, 269, 4634, 952, 621, 814, 7018, 267, 8156, 519, 2949, 2068, 1223, 948, 5710, 10733, 13613, 269, 1284, 949, 849, 991, 547, 1489, 5160, 20344, 609, 21910, 532, 6391, 563, 305, 2393, 19659, 616, 513, 3978, 2339, 602, 1223, 1291, 547, 5694, 2530, 269, 1809, 676, 8026, 6604, 543, 3478, 5401, 2126, 585, 1022, 5959, 2068, 267, 596, 666, 3247, 873, 689, 21006, 707, 12837, 563, 2252, 596, 1131, 899, 811, 1344, 593, 23235, 543, 8156, 3597, 19659, 267, 5225, 3346, 721, 610, 8430, 606, 13393, 585, 513, 15360, 269, 1411, 666, 849, 1451, 811, 827, 713, 1888, 676, 2542, 519, 31351, 16362, 12139, 2376, 968, 305, 2393, 28533, 885, 281, 29392, 5463, 599, 2282, 519, 717, 636, 7412, 18748, 338, 3509, 24771, 20661, 3034, 293, 7056, 625, 540, 1453, 609, 5312, 2175, 3068, 1082, 2591, 269, 2290, 602, 1419, 3217, 513, 1394, 10160, 547, 824, 10296, 2115, 568, 519, 6604, 540, 5694, 9178, 269, 1809, 4352, 2352, 267, 621, 1869, 19262, 15637, 685, 3007, 1317, 540, 519, 5959, 2068, 779, 1761, 1279, 3856, 1764, 593, 5711, 1072, 563, 2419, 1258, 1227, 2192, 1453, 616, 1419, 693, 2362, 1981, 585, 5694, 9178, 267, 1034, 4122, 1813, 547, 2591, 538, 8026, 2500, 5711, 9882, 269, 2368, 2175, 1711, 4049, 2168, 267, 2790, 610, 8965, 23043, 538, 1453, 779, 2702, 547, 11453, 543, 19568, 281, 585, 1383, 267, 789, 949, 723, 513, 15398, 575, 698, 16846, 547, 26025, 538, 741, 5023, 610, 789, 949, 711, 581, 2111, 547, 9308, 1685, 891, 4247, 593, 741, 1378, 563, 5278, 1453, 949, 581, 2921, 6527, 602, 21391, 2892, 643, 776, 2095, 607, 513, 2427, 1198, 269, 6428, 10216, 568, 2565, 585, 2068, 6604, 1317, 621, 1312, 9243, 3278, 5023, 3679, 630, 6518, 666, 2144, 1712, 5694, 19596, 264, 543, 568, 513, 1101, 1899, 540, 8878, 1996, 2068, 27351, 6748, 4551, 269, 1656, 513, 1126, 779, 2732, 267, 1247, 2966, 547, 1489, 2126, 540, 741, 5312, 2783, 267, 949, 598, 14287, 711, 581, 519, 1655, 585, 5885, 741, 5959, 1072, 563, 2005, 779, 1655, 952, 15637, 543, 741, 24782, 1020, 513, 4640, 585, 9178, 6604, 267, 799, 1058, 1331, 519, 1739, 912, 268, 8617, 5959, 11564, 4098, 693, 6520, 2290, 269, 14755, 5464, 5959, 1072, 267, 5959, 11564, 849, 1683, 2973, 902, 543, 824, 15324, 3800, 899, 22521, 21973, 610, 13021, 1218, 3248, 268, 5696, 5241, 543, 29781, 1489, 269, 13689, 593, 513, 1126, 779, 2168, 543, 2790, 19206, 267, 15637, 630, 528, 606, 4587, 24107, 264, 949, 991, 547, 2203, 17678, 543, 29781, 267, 610, 1685, 519, 4247, 585, 519, 1126, 3248, 268, 2405, 1709, 543, 2732, 2242, 269, 1403, 6527, 616, 4929, 3819, 5023, 267, 15637, 666, 3717, 547, 741, 13500, 827, 2009, 8925, 282, 11338, 267, 789, 1058, 1294, 952, 12381, 666, 581, 1500, 547, 741, 2732, 547, 1732, 1489, 5959, 1072, 563, 268, 4425, 24031, 2892, 643, 776, 2095, 269, 898, 779, 2523, 1271, 609, 1453, 945, 723, 3819, 5023, 547, 4235, 811, 1216, 610, 946, 11226, 630, 3697, 1535, 2643, 20738, 10733, 610, 31496, 264, 547, 5818, 2892, 643, 776, 2095, 563, 7212, 621, 3340, 3063, 4674, 543, 942, 547, 2285, 3007, 547, 513, 12225, 1227, 2192, 1126, 779, 5959, 1072, 267, 621, 779, 1134, 4502, 621, 269, 1635, 2324, 547, 2061, 5694, 9178, 2038, 538, 1272, 267, 891, 1453, 786, 581, 811, 2693, 547, 2972, 1434, 5959, 1072, 538, 519, 2104, 563, 2252, 596, 1131, 899, 811, 1344, 593, 5959, 1416, 585, 1453, 609, 2027, 2115, 267, 5225, 3346, 721, 610, 8430, 606, 13393, 585, 513, 15360, 269, 1411, 666, 849, 1451, 811, 827, 713, 1888, 676, 2542, 519, 31351, 16362, 2376, 968, 31572, 29392, 5463, 599, 538, 5753, 609, 18127, 15302, 3034, 10214, 1310, 5756, 10771, 5711, 9882, 543, 29433, 21973, 547, 4339, 5959, 2068, 267, 649, 2461, 1631, 7487, 606, 2333, 538, 5694, 9178, 267, 2523, 1851, 1453, 269, 1548, 779, 4929, 713, 24034, 7678, 888, 6624, 538, 1312, 519, 5959, 543, 2564, 22825, 3095, 713, 543, 824, 1072, 2042, 547, 513, 4473, 538, 519, 2179, 543, 4616, 540, 4006, 3773, 547, 1426, 2472, 269, 589, 1297, 540, 1296, 3516, 938, 5993, 3328, 4616, 540, 3773, 4006, 729, 827, 476, 275, 6550, 829, 1268, 282, 2221, 267, 621, 779, 6251, 547, 476, 3445, 6550, 563, 763, 2333, 538, 4006, 4616, 666, 581, 14360, 547, 519, 476, 3192, 271, 338, 950, 519, 1426, 2872, 3459, 4946, 811, 4006, 547, 1118, 9268, 3536, 4174, 5529, 540, 11041, 543, 9600, 6492, 1732, 269, 4653, 267, 476, 6507, 260, 540, 519, 5111, 476, 7785, 267, 1822, 1426, 3688, 4421, 538, 519, 2136, 2276, 2270, 930, 1106, 540, 4006, 630, 8974, 513, 3099, 540, 4408, 1916, 1607, 3606, 4006, 267, 2705, 267, 814, 3812, 606, 26516, 12343, 281, 4006, 12153, 519, 5305, 540, 513, 2634, 3114, 1572, 22006, 602, 21560, 938, 2631, 540, 8007, 950, 649, 4497, 538, 513, 14909, 2623, 269, 634, 4430, 22006, 5932, 513, 4617, 8213, 547, 4006, 267, 799, 1287, 5012, 547, 936, 4621, 18870, 267, 7700, 547, 938, 1699, 8377, 15435, 543, 519, 4473, 538, 1072, 2042, 899, 2295, 2068, 610, 7392, 476, 273, 3987, 269, 901, 568, 2523, 24034, 1851, 1453, 281, 13977, 1296, 3516, 7392, 476, 273, 3987, 729, 796, 515, 731, 540, 1851, 1453, 2443, 2221, 972, 616, 936, 476, 4649, 267, 1822, 8995, 12963, 2665, 563, 2690, 1312, 596, 543, 707, 1920, 779, 2489, 543, 5959, 1072, 267, 596, 1058, 2015, 2081, 547, 2569, 707, 4006, 6981, 281, 6718, 543, 3548, 1034, 540, 707, 1426, 689, 519, 968, 537, 614, 8728, 892, 540, 707, 2706, 21466, 2443, 16469, 267, 10683, 267, 543, 4195, 5388, 543, 5613, 630, 6518, 798, 2270, 519, 4006, 535, 28229, 267, 855, 616, 6140, 6775, 602, 25815, 519, 6797, 779, 4393, 540, 519, 4006, 5148, 3970, 9268, 3536, 609, 3773, 4006, 267, 543, 1451, 547, 5431, 922, 10014, 538, 2472, 676, 2542, 5820, 10297, 269, 1411, 1058, 849, 581, 530, 776, 540, 6653, 2989, 16098, 971, 607, 7091, 553, 267, 5026, 10425, 267, 29225, 610, 23238, 267, 543, 2119, 547, 4235, 811, 1216, 563, 763, 5227, 3232, 4006, 4616, 568, 1447, 982, 3670, 18324, 9398, 513, 1554, 630, 12671, 1079, 22188, 519, 2179, 538, 835, 666, 540, 14614, 1040, 1635, 28142, 713, 4616, 267, 596, 3580, 2087, 707, 2489, 1072, 543, 2569, 707, 1981, 585, 5959, 2068, 269, 0, 288, 3084, 5619, 1239, 7000, 602, 1582, 3146, 19959, 946, 540, 7657, 1819, 10269, 2472, 676, 1647, 543, 1164, 1153, 1053, 8519, 689, 476, 1001, 275, 547, 476, 1001, 277, 855, 6172, 5523, 1394, 909, 538, 476, 1001, 278, 563, 14503, 822, 1819, 1875, 24294, 12076, 10269, 2472, 616, 4922, 2139, 538, 519, 772, 2529, 269, 901, 1353, 8947, 2242, 538, 1582, 3146, 19959, 946, 540, 7657, 1819, 10269, 2472, 676, 6107, 945, 946, 10269, 269, 634, 2079, 3769, 811, 982, 476, 4281, 267, 1822, 271, 1053, 689, 513, 5916, 476, 1001, 275, 547, 476, 1001, 278, 3084, 1153, 2861, 5993, 5619, 563, 8072, 763, 946, 540, 1022, 10269, 1587, 12628, 689, 476, 1704, 269, 274, 2600, 538, 476, 1001, 275, 547, 476, 1724, 269, 277, 2600, 538, 476, 1001, 278, 269, 11313, 454, 4407, 519, 946, 540, 7657, 1819, 10269, 2472, 676, 1346, 945, 946, 10269, 8519, 689, 476, 7597, 269, 275, 2600, 538, 476, 1001, 275, 547, 476, 6872, 269, 278, 2600, 538, 476, 1001, 277, 267, 621, 2799, 1586, 547, 476, 8287, 269, 277, 2600, 1063, 476, 1001, 277, 268, 1001, 278, 543, 1454, 540, 602, 5526, 1813, 547, 8137, 946, 538, 5907, 13189, 563, 288, 18308, 281, 15173, 3539, 667, 2967, 267, 12854, 267, 5441, 540, 5398, 2657, 267, 2160, 540, 27228, 267, 15345, 21036, 269, 0, 268, 7136, 1901, 638, 320, 5398, 12140, 454, 268, 7136, 1901, 638, 320, 5398, 12140, 5851, 2457, 454, 22709, 1901, 638, 320, 779, 8479, 12207, 13028, 519, 2622, 454, 5415, 982, 476, 10204, 10026, 543, 1647, 1153, 1053, 7604, 1078, 741, 3621, 1702, 693, 519, 8664, 779, 5993, 3163, 20570, 12876, 593, 4989, 476, 277, 563, 10743, 5342, 6901, 693, 1753, 543, 4843, 741, 4681, 593, 16968, 12545, 269, 634, 4023, 729, 1930, 547, 782, 9656, 998, 11359, 17603, 689, 519, 3670, 10026, 3506, 267, 543, 972, 941, 5111, 476, 1911, 3785, 607, 1053, 1223, 960, 14350, 610, 609, 4891, 563, 763, 1762, 3744, 8268, 513, 1804, 3099, 540, 2035, 1519, 2011, 2604, 267, 5201, 267, 11976, 267, 7293 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 880, 3382, 7693, 543, 11953, 3037, 267, 6606, 269, 634, 25465, 540, 3282, 23092, 22149, 22016, 547, 3037, 849, 25116, 513, 6225, 855, 4130, 2962, 593, 4227, 519, 24277, 1543, 538, 519, 3037, 269, 901, 1198, 729, 1813, 547, 3063, 715, 1799, 984, 559, 5314, 799, 6603, 513, 5021, 540, 827, 476, 736, 4846, 715, 688, 268, 272, 538, 4571, 22052, 4379, 585, 1312, 2010, 540, 22016, 269, 27607, 3275, 1310, 519, 25465, 540, 519, 3282, 23092, 22149, 22016, 267, 543, 9236, 547, 519, 1852, 3037, 1510, 22016, 25465, 267, 715, 3638, 22016, 13251, 513, 1713, 2318, 715, 2121, 1198, 22791, 280, 4846, 715, 688, 268, 272, 264, 7222, 547, 476, 1015, 260, 540, 715, 3773, 6466, 585, 715, 4057, 22016, 1100, 2121, 1198, 729, 1869, 5833, 693, 519, 1439, 540, 4603, 11196, 274, 4846, 715, 688, 268, 272, 267, 711, 3648, 1114, 689, 476, 271, 1040, 1677, 2569, 24277, 30450, 1282, 1279, 2887, 578, 5712, 267, 621, 568, 2556, 547, 3895, 2553, 3056, 547, 6175, 7777, 9539, 9115, 538, 519, 3037, 1282, 15489, 1354, 519, 12775, 1974, 267, 971, 607, 630, 328, 264, 21225, 25465, 1310, 7556, 630, 23719, 6992, 16014, 9539, 264, 543, 630, 4512, 264, 3850, 13538, 547, 1332, 610, 521, 12976, 513, 3382, 7693, 1175, 1310, 519, 7556, 540, 519, 2063, 1292, 7693, 269, 0, 28398, 1464, 538, 14451, 4065, 454, 763, 1523, 540, 12477, 814, 2141, 1044, 23125, 538, 2362, 2069, 952, 1152, 585, 519, 1249, 602, 1107, 5103, 18765, 540, 519, 32334, 13486, 267, 1702, 585, 922, 1378, 19160, 267, 543, 4081, 5191, 630, 718, 11021, 24243, 1281, 711, 991, 547, 2272, 585, 922, 2238, 264, 1107, 19174, 543, 741, 5238, 998, 942, 723, 1185, 3347, 609, 1585, 8639, 538, 799, 968, 24987, 1464, 892, 11179, 5129, 513, 1909, 269, 6270, 2626, 1464, 12211, 547, 9945, 8051, 585, 1107, 538, 519, 2757, 2631, 540, 519, 2262, 1107, 1857, 2724, 6170, 855, 849, 547, 19174, 7713, 267, 538, 741, 3318, 960, 267, 875, 789, 1305, 909, 741, 1382, 267, 799, 2409, 789, 1031, 543, 1946, 267, 543, 7713, 547, 1018, 6708, 741, 2164, 616, 4570, 267, 6325, 267, 543, 2489, 14184, 269, 1548, 568, 5266, 1007, 568, 602, 519, 10206, 540, 12477, 568, 1454, 811, 8763, 593, 8639, 685, 989, 31789, 982, 538, 519, 2250, 543, 602, 621, 5526, 602, 519, 3666, 1063, 12477, 543, 13190, 21266, 1206, 3833, 1419, 4724, 606, 21467, 332, 3508, 529, 593, 8051, 585, 2773, 269, 634, 2242, 786, 581, 9619, 538, 811, 1469, 538, 519, 1985, 3296, 269, 1306, 6700, 267, 968, 24987, 1464, 892, 1131, 581, 519, 2165, 14191, 547, 12477, 267, 855, 513, 10169, 811, 14969, 4214, 1131, 581, 5363, 547, 10002, 871, 519, 14960, 269, 8738, 651, 630, 1220, 275, 267, 533, 269, 476, 273, 264, 4280, 1107, 16079, 532, 519, 960, 540, 570, 992, 630, 1960, 277, 264, 543, 2142, 18255, 630, 1220, 274, 264, 1107, 968, 8005, 568, 18177, 547, 7247, 267, 585, 1018, 5301, 267, 585, 4171, 4324, 267, 676, 799, 1797, 267, 543, 609, 1018, 4539, 9495, 901, 5133, 568, 538, 5348, 322, 609, 4485, 689, 1857, 3609, 543, 7245, 630, 5408, 849, 7931, 345, 2131, 476, 1220, 271, 1040, 645, 990, 839, 630, 1220, 278, 267, 533, 269, 476, 14596, 264, 3091, 513, 5386, 3766, 11712, 4214, 540, 12477, 607, 968, 320, 2078, 1063, 606, 17076, 543, 513, 8468, 267, 538, 799, 519, 17076, 814, 606, 17185, 547, 2491, 543, 547, 17854, 1010, 610, 1200, 2932, 267, 519, 8468, 666, 10460, 2055, 543, 1780, 27790, 267, 543, 519, 17076, 949, 3068, 4539, 1848, 6145, 8738, 651, 267, 646, 17613, 519, 2956, 540, 3347, 1063, 17076, 630, 15367, 568, 18177, 24047, 543, 8468, 630, 27665, 762, 547, 7247, 286, 1070, 1519, 12587, 543, 24476, 630, 5976, 1018, 4539, 24047, 3238, 563, 2414, 2417, 12172, 519, 1523, 267, 621, 949, 581, 5363, 547, 5104, 868, 777, 846, 621, 547, 824, 2035, 1419, 1031, 538, 519, 4081, 3332, 281, 12477, 538, 4334, 547, 3972, 630, 307, 992, 476, 1960, 277, 1070, 4081, 5191, 630, 1410, 4156, 12477, 2938, 607, 968, 320, 3463, 547, 519, 5191, 540, 4648, 547, 4383, 741, 1378, 942, 543, 5581, 741, 1378, 960, 5608, 570, 992, 476, 1960, 277, 267, 533, 269, 476, 24374, 1070, 543, 12250, 13190, 630, 15307, 1069, 2335, 1696, 620, 269, 476, 1001, 272, 1040, 769, 713, 2796, 267, 12477, 568, 1107, 17697, 569, 610, 12799, 1107, 24565, 607, 513, 2530, 540, 3972, 267, 5191, 267, 543, 13190, 563, 1103, 1585, 18759, 593, 519, 11944, 610, 6793, 15287, 540, 12477, 630, 20694, 6387, 476, 1220, 271, 282, 8738, 651, 476, 1220, 275, 282, 570, 992, 476, 1960, 277, 1070, 1614, 3137, 20441, 269, 589, 1101, 7778, 568, 12082, 538, 519, 2856, 540, 2527, 2305, 540, 2362, 2069, 267, 799, 26837, 22239, 4547, 2059, 1164, 263, 518, 264, 1857, 3790, 547, 2226, 513, 1454, 3677, 2362, 2069, 1062, 269, 1306, 513, 12343, 267, 6608, 1107, 1373, 519, 1292, 8034, 837, 540, 2362, 2069, 1107, 941, 7142, 547, 630, 516, 264, 25270, 9541, 538, 2362, 2069, 543, 824, 5033, 760, 3016, 9922, 267, 899, 3119, 543, 6281, 2069, 267, 1072, 267, 543, 1514, 10304, 269, 5822, 267, 609, 519, 2208, 540, 2362, 2069, 607, 606, 1271, 5033, 760, 3016, 5823, 267, 6608, 1107, 3226, 538, 5375, 2342, 630, 10468, 1511, 543, 8709, 966, 9853, 476, 1960, 272, 264, 1107, 3323, 547, 8275, 602, 621, 2968, 2352, 610, 1256, 14524, 531, 547, 2119, 547, 27464, 2362, 2069, 998, 630, 30956, 9229, 264, 7939, 269, 22749, 8197, 3576, 7341, 547, 9886, 2362, 2069, 5238, 811, 13190, 676, 267, 552, 3052, 1421, 632, 28832, 543, 1582, 30625, 267, 855, 621, 5526, 2705, 602, 2407, 3972, 729, 711, 1018, 1034, 6608, 1185, 538, 2247, 950, 7903, 3357, 547, 695, 913, 269, 22749, 267, 7258, 26587, 13190, 267, 5189, 608, 2022, 20241, 630, 10843, 2298, 6268, 543, 22059, 4507, 264, 543, 4280, 5238, 538, 2132, 547, 13190, 547, 2272, 585, 741, 2238, 630, 10843, 5993, 8989, 267, 7836, 8039, 267, 543, 2773, 8989, 1040, 769, 4207, 2362, 2069, 267, 1949, 1397, 1114, 2157, 540, 13190, 267, 543, 519, 1377, 540, 13190, 849, 15320, 676, 1888, 630, 5408, 267, 552, 3052, 1421, 6480, 1069, 2335, 1696, 620, 269, 476, 1001, 272, 1040, 8298, 1227, 267, 713, 10522, 849, 1114, 2081, 543, 2157, 540, 22257, 703, 6350, 4369, 630, 663, 8754, 1114, 19383, 540, 12477, 6127, 1040, 12059, 267, 1644, 547, 519, 6521, 538, 23376, 267, 14356, 896, 519, 3310, 540, 683, 565, 28515, 610, 715, 15014, 5380, 6932, 538, 519, 476, 2735, 271, 338, 543, 476, 1960, 271, 338, 267, 2773, 4441, 543, 3977, 8060, 941, 2808, 547, 581, 3617, 2645, 585, 23376, 1857, 9922, 267, 543, 3972, 8604, 547, 723, 20374, 7361, 689, 519, 6608, 685, 2234, 1513, 267, 799, 1500, 519, 2856, 540, 519, 17185, 547, 2491, 543, 17854, 2932, 1454, 811, 7986, 267, 543, 713, 2417, 23185, 519, 7521, 593, 875, 2362, 2069, 5238, 1107, 11932, 998, 32116, 543, 2773, 10832, 630, 5408, 2630, 264, 1107, 1058, 2272, 585, 741, 2238, 563, 25565, 543, 1715, 9537, 543, 22553, 540, 10055, 1464, 454, 4415, 519, 2810, 3007, 547, 12477, 267, 15069, 3173, 3323, 547, 8495, 519, 1259, 621, 1570, 3278, 543, 519, 4539, 12477, 2853, 949, 723, 269, 1677, 1118, 2631, 540, 519, 2010, 543, 3029, 267, 649, 1246, 7931, 345, 2131, 630, 1220, 271, 264, 945, 1500, 606, 1271, 11984, 1063, 2185, 2010, 540, 12477, 269, 2701, 13187, 602, 3318, 543, 2797, 12477, 723, 2141, 1044, 851, 543, 1612, 4897, 540, 630, 21504, 264, 9922, 538, 799, 1883, 11051, 723, 9645, 24787, 547, 11654, 4143, 4247, 269, 11569, 267, 3318, 12477, 814, 1044, 1472, 538, 2362, 2069, 543, 1382, 585, 513, 1279, 942, 267, 538, 602, 19174, 2141, 723, 1044, 4280, 547, 2491, 267, 552, 3052, 1421, 799, 2409, 789, 946, 538, 741, 13753, 267, 1018, 519, 12170, 4493, 568, 585, 741, 4681, 630, 663, 875, 6325, 543, 4570, 891, 1239, 616, 1070, 543, 875, 789, 12446, 693, 741, 8753, 630, 10175, 741, 2489, 714, 1464, 1040, 634, 8155, 543, 4441, 585, 1018, 568, 16363, 606, 3617, 1377, 540, 2626, 1464, 6565, 689, 3318, 23462, 267, 12946, 538, 2247, 602, 972, 568, 9645, 3099, 538, 8155, 543, 2418, 630, 663, 519, 32469, 23476, 264, 2066, 10459, 543, 4610, 269, 11572, 12477, 568, 7298, 538, 519, 2081, 6280, 13222, 9305, 547, 2362, 2069, 779, 8639, 281, 968, 1492, 18177, 4013, 9027, 919, 543, 20781, 547, 2576, 3116, 779, 16786, 610, 6788, 892, 630, 305, 558, 345, 2131, 476, 1220, 271, 267, 533, 269, 476, 2767, 1040, 11572, 12477, 568, 7805, 950, 6280, 13222, 2491, 547, 6608, 543, 1612, 2993, 14613, 1107, 2901, 676, 27592, 610, 30082, 1107, 1018, 741, 5238, 798, 543, 1946, 630, 984, 16227, 10771, 519, 1271, 7418, 789, 1118, 547, 519, 4346, 543, 2486, 1916, 4322, 1079, 3029, 616, 538, 930, 4334, 547, 21712, 543, 3656, 12477, 267, 3029, 538, 799, 972, 568, 513, 811, 1463, 543, 8763, 2626, 1464, 6935, 269, 18489, 3175, 949, 21559, 602, 2362, 2069, 5238, 1867, 12422, 547, 519, 2229, 610, 4143, 18591, 610, 949, 2154, 9945, 547, 723, 741, 2883, 5359, 2912, 1243, 269, 28762, 1105, 673, 12477, 949, 12926, 723, 1044, 1447, 1455, 538, 3318, 5468, 609, 513, 2566, 593, 3972, 543, 1908, 326, 658, 2623, 267, 855, 1715, 5398, 5004, 814, 5189, 519, 2856, 540, 12912, 3318, 9946, 543, 2362, 2069, 3401, 602, 968, 17647, 519, 1318, 547, 4383, 3034, 1103, 2040, 267, 3029, 543, 2010, 540, 12477, 723, 2141, 1044, 23125, 1107, 17697, 569, 610, 12799, 1107, 538, 2362, 2069, 269, 898, 5526, 267, 2705, 267, 602, 5051, 1271, 2418, 971, 607, 7125, 585, 30506, 543, 4398, 630, 305, 558, 345, 2131, 476, 1220, 271, 267, 533, 269, 476, 3066, 264, 723, 3366, 547, 811, 8763, 3007, 547, 1808, 12477, 2645, 543, 6127, 269, 5565, 540, 519, 1034, 1031, 630, 663, 11567, 264, 2645, 602, 6608, 723, 5189, 616, 2298, 22059, 543, 2773, 10832, 563, 28398, 532, 585, 10866, 454, 308, 526, 523, 22239, 267, 519, 4367, 540, 2298, 22059, 6127, 538, 1082, 2362, 2069, 1949, 689, 10199, 519, 476, 2735, 271, 338, 593, 729, 14356, 28110, 4724, 2298, 6454, 543, 19349, 267, 855, 519, 6662, 540, 2626, 1464, 949, 723, 13856, 519, 27964, 269, 24498, 2298, 22059, 630, 1993, 3292, 543, 5238, 264, 23182, 13352, 645, 990, 839, 685, 4214, 540, 12477, 538, 602, 6608, 1305, 909, 513, 2078, 1063, 2362, 2069, 5238, 630, 716, 832, 264, 543, 513, 2298, 22059, 8116, 630, 1721, 636, 1070, 538, 799, 519, 17076, 814, 606, 17185, 547, 2491, 543, 547, 17854, 875, 621, 3217, 1416, 602, 519, 2298, 540, 519, 1982, 610, 9872, 568, 9738, 630, 17238, 1040, 634, 8468, 7363, 5036, 519, 4441, 267, 543, 9905, 616, 3238, 538, 30286, 2055, 547, 519, 17076, 543, 8429, 513, 10385, 269, 7225, 18488, 616, 7363, 12007, 267, 538, 602, 513, 1471, 2787, 12233, 540, 9905, 1459, 513, 2239, 630, 7257, 1154, 519, 2856, 540, 2298, 19349, 1070, 28285, 2901, 538, 513, 3803, 12007, 4879, 630, 1410, 3250, 550, 267, 1434, 267, 4057, 264, 610, 513, 6060, 630, 27271, 711, 1454, 811, 982, 3274, 10452, 519, 12007, 4879, 267, 476, 276, 267, 5140, 282, 476, 275, 267, 1434, 282, 3092, 12175, 1452, 21520, 949, 723, 4539, 630, 338, 534, 2388, 264, 538, 2474, 540, 519, 17076, 4509, 610, 9561, 513, 12689, 610, 1857, 2883, 1489, 269, 1703, 666, 849, 581, 9940, 24476, 267, 538, 602, 1761, 1053, 949, 6430, 711, 547, 11578, 585, 610, 12820, 949, 581, 26997, 547, 4579, 513, 10927, 540, 513, 1982, 610, 9872, 602, 814, 711, 4607, 513, 15028, 10385, 563, 20776, 29418, 267, 972, 568, 3908, 1382, 593, 519, 2360, 540, 2298, 22059, 538, 2489, 630, 19365, 338, 543, 29542, 476, 1001, 276, 1070, 543, 606, 1256, 811, 3908, 1445, 593, 2298, 22059, 607, 12477, 269, 5525, 865, 2484, 2232, 519, 1739, 4798, 269, 2290, 18843, 540, 3332, 17613, 519, 11411, 602, 713, 1826, 540, 12477, 6770, 2059, 269, 1280, 1383, 267, 5295, 630, 1960, 278, 264, 14753, 540, 519, 20894, 16411, 267, 2566, 532, 519, 1082, 12477, 2055, 4648, 543, 741, 5238, 19951, 1590, 2626, 267, 543, 13187, 602, 621, 5012, 547, 606, 2333, 538, 29904, 6483, 543, 1107, 32047, 1107, 547, 12738, 543, 18428, 267, 17697, 569, 15819, 519, 7145, 540, 519, 6293, 281, 6496 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 513, 476, 276, 2600, 2333, 1282, 519, 535, 328, 678, 560, 476, 274, 3275, 540, 713, 1032, 1310, 9991, 454, 27887, 264, 609, 513, 476, 276, 2600, 2333, 1282, 519, 535, 328, 678, 560, 476, 274, 3275, 540, 713, 1032, 1310, 2348, 15468, 692, 29151, 568, 595, 692, 4692, 2576, 5225, 948, 547, 2491, 1946, 9991, 568, 2953, 888, 12552, 2439, 8923, 4894, 519, 29314, 689, 519, 1875, 1975, 334, 8814, 3296, 540, 519, 20525, 269, 8729, 2439, 296, 12199, 856, 667, 543, 661, 1317, 540, 834, 5976, 2668, 910, 1875, 1898, 1110, 5809, 946, 14307, 799, 10371, 2073, 27029, 288, 1299, 645, 616, 11234, 1317, 540, 834, 527, 834, 621, 568, 13737, 543, 13288, 547, 12434, 799, 568, 12683, 780, 8867, 2314, 595, 2953, 563, 29262, 454, 1805, 9850, 281, 1703, 568, 2141, 1945, 1007, 8206, 2336, 288, 742, 8270, 725, 281, 6751, 296, 267, 304, 9590, 6820, 267, 324, 311, 2217, 290, 294, 454, 16274, 281, 476, 5400, 2904, 476, 1220, 280, 454, 15803, 281, 476, 13670, 274, 454, 27063, 281, 476, 1704, 692, 20132, 19560, 476, 28192, 1496, 271, 3910, 2016, 281, 476, 1015, 692, 3725, 281, 634, 2164, 540, 519, 3129, 903, 1942, 24408, 1154, 3800, 616, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 1556, 2904, 476, 1001, 272, 267, 476, 2420, 281, 7918, 454, 10674, 2517, 4178, 269, 2006, 1002, 339, 836, 3901, 2593, 270, 1721, 4548, 270, 2675, 268, 3267, 512, 279, 5392, 278, 11258, 692, 290, 3096, 723, 543, 9991, 563, 6303, 318, 692, 28716, 4534, 5291, 2517, 4178, 4732, 20980, 17898, 1877, 2593, 13045, 23220, 1774, 5682, 6355, 267, 306, 20980, 12389, 543, 5682, 3047, 8206, 2439, 12421, 454, 16274, 281, 476, 2764, 4455, 476, 1001, 272, 454, 15803, 281, 476, 274, 454, 27063, 281, 476, 271, 692, 20132, 19560, 476, 272, 1496, 271, 3910, 2016, 281, 476, 271, 692, 3725, 281, 634, 2164, 540, 519, 3129, 903, 1942, 24408, 1154, 3800, 616, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 1724, 2904, 476, 1001, 272, 267, 476, 6349, 281, 3607, 454, 17098, 267, 8729, 585, 519, 3095, 2336, 2005, 2731, 2337, 563, 3719, 594, 1869, 723, 835, 811, 2243, 563, 1432, 1281, 834, 6420, 532, 936, 519, 2063, 1079, 1296, 257, 12189, 888, 296, 1589, 621, 1110, 5809, 834, 3682, 22327, 8487, 4692, 2576, 948, 547, 6166, 621, 888, 12552, 31011, 454, 29479, 11833, 26499, 454, 16274, 281, 476, 4905, 4239, 476, 1001, 274, 454, 15803, 281, 476, 11793, 6078, 454, 27063, 281, 476, 280, 6246, 692, 20132, 19560, 476, 21709, 1496, 271, 3910, 2016, 281, 476, 271, 692, 3725, 281, 634, 2164, 540, 519, 3129, 903, 1942, 24408, 1154, 3800, 616, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 1691, 3967, 476, 1001, 278, 267, 476, 1321, 281, 5881, 454, 15916, 689, 519, 17918, 11833, 7638, 4472, 289, 582, 2439, 12552, 547, 1776, 17918, 11833, 4759, 267, 594, 723, 1175, 4362, 713, 3407, 1888, 267, 2943, 621, 1185, 1100, 4901, 585, 936, 513, 1032, 269, 594, 993, 1631, 536, 18804, 621, 909, 910, 3257, 1250, 2816, 269, 594, 1589, 596, 949, 1265, 621, 3407, 630, 525, 335, 1346, 30491, 609, 918, 16997, 6393, 23763, 547, 1294, 782, 824, 3584, 594, 2007, 856, 286, 7427, 803, 630, 28781, 1246, 7735, 593, 9043, 1040, 1411, 786, 4309, 513, 5758, 540, 782, 3584, 594, 29424, 538, 707, 9043, 1858, 607, 1134, 607, 3842, 4757, 563, 10048, 4526, 454, 1805, 9850, 281, 14893, 568, 16523, 1862, 1290, 21622, 2107, 674, 697, 10756, 16274, 281, 476, 6734, 7325, 476, 1001, 277, 454, 15803, 281, 476, 15704, 454, 19613, 281, 3127, 454, 3519, 1417, 1674, 281, 5303, 267, 15613, 454, 18662, 338, 281, 4083, 11586, 454, 294, 5183, 281, 476, 274, 269, 278, 454, 25446, 281, 6176, 5303, 630, 8256, 738, 532, 994, 27063, 281, 476, 274, 692, 20132, 19560, 476, 3953, 1496, 271, 3910, 2016, 281, 476, 1691, 692, 3725, 281, 634, 2164, 540, 519, 3129, 903, 1942, 24408, 1154, 3800, 616, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 1691, 3967, 476, 1001, 278, 267, 476, 2641, 281, 3451, 454, 4415, 519, 2953, 13029, 6165, 267, 594, 3893, 713, 2626, 2953, 269, 1717, 267, 594, 993, 711, 2111, 547, 1174, 519, 946, 540, 15749, 834, 1080, 257, 1934, 563, 2026, 2484, 607, 594, 1174, 267, 834, 1080, 12434, 257, 1797, 834, 4818, 1415, 781, 12434, 2668, 1809, 538, 519, 3355, 5123, 540, 519, 4845, 267, 7577, 568, 24076, 5018, 269, 898, 1152, 19528, 7577, 781, 1942, 5969, 3800, 780, 3674, 713, 946, 540, 834, 1080, 257, 2953, 286, 888, 6303, 318, 692, 734, 28251, 692, 25938, 1640, 15440, 454, 288, 742, 8270, 725, 281, 15434, 1188, 19723, 4472, 454, 16274, 281, 476, 6734, 4239, 476, 1001, 274, 454, 15803, 281, 476, 25870, 454, 19613, 281, 3127, 454, 29479, 476, 272, 281, 476, 278, 3199, 1627, 7906, 966, 5379, 454, 27063, 281, 476, 10695, 692, 20132, 19560, 476, 30500, 1496, 271, 3910, 2016, 281, 476, 277, 692, 3725, 281, 634, 2164, 540, 519, 3129, 903, 1942, 24408, 1154, 3800, 616, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 1691, 3967, 476, 1001, 278, 267, 476, 2420, 281, 5325, 454, 12749, 19928, 12460, 454, 9616, 602, 21770, 538, 4865, 633, 3029, 666, 3277, 547, 4865, 633, 17205, 780, 1103, 713, 4845, 20620, 10454, 2164, 540, 519, 2754, 779, 1942, 24408, 1154, 3800, 616, 10423, 538, 922, 12434, 4840, 257, 1080, 257, 666, 3277, 547, 834, 4818, 1415, 781, 2668, 1717, 267, 649, 3112, 946, 519, 15749, 834, 527, 257, 547, 3277, 547, 834, 4818, 1415, 781, 6231, 29682, 589, 910, 5549, 8091, 563, 1492, 6165, 540, 834, 527, 257, 568, 11234, 607, 621, 3112, 3277, 547, 519, 4865, 633, 10902, 834, 4818, 1415, 781, 6231, 29682, 645, 910, 5549, 8091, 563, 1492, 6165, 540, 15749, 834, 527, 257, 568, 11234, 563, 257, 6518, 1185, 2799, 1282, 519, 1101, 1614, 3275, 540, 519, 1032, 10371, 1701, 910, 519, 6165, 540, 2250, 3501, 568, 11234, 269, 1284, 666, 2901, 946, 519, 2241, 2250, 610, 1459, 3501, 780, 29682, 595, 910, 22043, 8382, 563, 257, 6518, 723, 2799, 476, 276, 2600, 1282, 519, 535, 328, 678, 560, 476, 274, 3275, 540, 713, 1032, 1310, 9991, 936, 519, 2063, 1079, 1296, 3010, 18485, 519, 1919, 538, 12050, 3277, 547, 834, 2889, 22327, 8487, 9827, 267, 4063, 519, 6165, 540, 1459, 3501, 910, 834, 17647, 2799, 2668, 713, 10522, 602, 519, 3948, 729, 1500, 693, 519, 1439, 540, 519, 1614, 3923, 1974, 563, 1492, 6165, 540, 2250, 13029, 834, 27463, 1078, 257, 10522, 602, 519, 3948, 729, 1500, 2991, 519, 1439, 540, 519, 1614, 3923, 1974, 780, 29682, 667, 910, 5549, 8091, 563, 9616, 602, 840, 6570, 531, 2453, 3622, 4196, 607, 30163, 658, 1110, 13294, 563, 1103, 713, 2013, 267, 834, 5976, 513, 476, 276, 2600, 2333, 1282, 519, 1101, 476, 274, 3275, 10371, 1701, 4667, 547, 4766, 1215, 834, 1492, 2164, 540, 519, 2754, 781, 1942, 5969, 3800, 3657, 10423, 10371, 4799, 20062, 16730, 3008, 834, 320, 476, 276, 2600, 2333, 257, 543, 834, 12898, 9991, 257, 1058, 5693, 3277, 547, 834, 2889, 22327, 6231, 17798, 267, 649, 991, 513, 10902, 21524, 8595, 971, 607, 834, 6518, 6231, 29682, 661, 910, 5549, 8091, 563, 306, 877, 5470, 607, 667, 563, 9827, 267, 4063, 602, 834, 12898, 1341, 2348, 15468, 257, 568, 32118, 780, 257, 327, 3058, 1341, 2250, 32096, 257, 2907, 6257, 513, 1991, 2962, 538, 513, 5311, 540, 2621, 563, 2690, 1383, 20620, 16352, 14478, 519, 7260, 267, 594, 4682, 547, 519, 13962, 563, 2080, 267, 834, 342, 520, 3481, 257, 5949, 1354, 834, 20852, 8487, 6303, 318, 692, 2690, 476, 276, 1455, 20637, 593, 10911, 2638, 1934, 10778, 10674, 2517, 326, 3901, 26020, 6983, 571, 1188, 16812, 2593, 9706, 17320, 3901, 2275, 15560, 3146, 1783, 532, 692, 2690, 4845, 15494, 7044, 2638, 1934, 20620, 10674, 2517, 326, 3901, 26020, 6983, 571, 1188, 16812, 2593, 9706, 17320, 3901, 1606, 27542, 2275, 528, 14431, 692, 9596, 782, 13662, 543, 26712, 2994, 1934, 8894, 10674, 2517, 326, 3901, 26020, 6983, 571, 1188, 16812, 2593, 9706, 8276, 2120, 532, 6709, 656, 6823, 3766, 3901, 692, 19723, 4472, 16869, 454, 16274, 281, 476, 1691, 5463, 476, 1001, 274, 454, 15803, 281, 476, 28071, 271, 454, 19613, 281, 5125, 454, 18662, 338, 281, 670, 30045, 2274, 760, 345, 580, 454, 29479, 476, 272, 281, 476, 278, 3199, 1627, 2004, 966, 5325, 454, 27063, 281, 476, 4375, 279, 692, 20132, 19560, 476, 9965, 280, 1496, 271, 3910, 2016, 281, 476, 2420, 692, 3725, 281, 634, 2164, 540, 519, 3129, 903, 1942, 24408, 1154, 3800, 616, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 1626, 3967, 476, 1001, 278, 267, 476, 5881, 281, 4375, 454, 305, 13270, 23669, 5206, 912, 4415, 519, 2953, 13029, 6165, 267, 594, 3893, 713, 2626, 2953, 269, 1717, 267, 594, 993, 711, 2111, 547, 1174, 519, 946, 540, 15749, 834, 1080, 257, 1934, 563, 2026, 2484, 607, 594, 1174, 267, 834, 1080, 12434, 257, 1797, 834, 4818, 1415, 781, 12434, 2668, 1809, 538, 519, 3355, 5123, 540, 519, 4845, 267, 7577, 568, 24076, 5018, 269, 898, 1152, 19528, 7577, 781, 1942, 5969, 3800, 780, 3674, 713, 946, 540, 834, 1080, 257, 2953, 286, 2496, 763, 29314, 568, 2953, 543, 7778, 3177, 676, 15434, 1188, 19723, 4472, 29479, 5526, 6190, 269, 1403, 972, 616, 1022, 1808, 2055, 267, 5225, 4945, 1586, 593, 519, 834, 26473, 652, 16869, 31400, 257, 7735, 543, 2022, 707, 14511, 1107, 14656, 713, 7662, 563, 29262, 454, 16274, 281, 476, 5400, 9947, 476, 1001, 271, 454, 15803, 281, 476, 16318, 279, 454, 27063, 281, 476, 274, 692, 20132, 19560, 476, 6344, 1496, 271, 3910, 2016, 281, 476, 279, 2767, 692, 3725, 281, 634, 2164, 540, 519, 3129, 903, 1942, 24408, 1154, 3800, 616, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 866, 3967, 476, 1001, 278, 267, 476, 5881, 281, 7871, 454, 325, 2135, 11277, 27174, 5206, 912, 763, 2164, 540, 519, 2754, 779, 1942, 24408, 1154, 3800, 616, 10423, 538, 922, 12434, 267, 799, 2799, 476, 276, 2600, 1282, 519, 535, 328, 678, 560, 476, 274, 3275, 540, 713, 1032, 1310, 621, 8593, 936, 519, 2063, 1079, 1296, 780, 10490, 264, 799, 2799, 476, 276, 2600, 1282, 519, 535, 328, 678, 560, 476, 274, 3275, 540, 713, 1032, 1310, 621, 8593, 454, 16360, 264, 799, 1185, 2799, 476, 276, 2600, 1282, 519, 535, 328, 678, 560, 476, 274, 3275, 540, 713, 1032, 1310, 621, 1185, 15468, 454, 18154, 264, 799, 723, 2799, 476, 276, 2600, 1282, 519, 535, 328, 678, 560, 476, 274, 3275, 540, 713, 1032, 1310, 9991, 454, 20573, 264, 609, 513, 476, 276, 2600, 2333, 1282, 519, 535, 328, 678, 560, 476, 274, 3275, 540, 713, 1032, 1310, 9991, 454, 27887, 264, 609, 513, 476, 276, 2600, 2333, 1282, 519, 535, 328, 678, 560, 476, 274, 3275, 540, 713, 1032, 1310, 2348, 15468, 692, 4692, 2576, 5225, 948, 547, 2491, 1946, 9991, 568, 2953, 888, 12552, 2439, 328, 666, 979, 547, 3903, 595, 607, 522, 320, 585, 713, 1966, 454, 8117, 649, 723, 513, 1966, 538, 4013, 2626, 563, 514, 595, 267, 834, 6420, 532, 257, 1491, 519, 13029, 540, 1292, 16083, 267, 799, 568, 834, 17647, 2799, 269, 713, 1611, 834, 12898, 789, 723, 15468, 1862, 936, 2063, 1079, 1296, 2668, 713, 568, 711, 7954, 563, 514, 713, 2013, 267, 1641, 1058, 581, 1459, 543, 2407, 16083, 568, 834, 1310, 519, 12434, 8593, 936, 2063, 1079, 1296, 5016, 600, 594, 2953, 286, 568, 4013, 2626, 4636, 286, 20994, 585, 891, 1913, 269, 6148, 1775, 993, 4636, 692, 680, 338, 267, 1865, 713, 1448, 454, 6303, 318, 692, 6665, 527, 1250, 3068, 1504, 547, 948, 803, 780, 29262, 454, 16274, 281, 476, 5400, 9947, 476, 1001, 271, 454, 15803, 281, 476, 16318, 279, 454, 27063, 281, 476, 274, 692, 20132, 19560, 476, 6344, 1496, 271, 3910, 2016, 281, 476, 279, 2767, 692, 3725, 281, 634, 2164, 540, 519, 3129, 903, 1942, 24408, 1154, 3800, 616, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 866, 3967, 476, 1001, 278, 267, 476, 5881, 281, 6812, 454, 29151, 814, 513, 1966, 269, 834, 6420, 532, 257, 568, 6148, 11234, 1317, 621, 1491, 519, 13029, 540, 1292, 16083, 267, 799, 568, 834, 17647, 2799, 2668, 726, 338, 267, 948, 2491, 269, 20994, 585, 2178, 1913, 563, 6303, 318, 692, 6665, 527, 1250, 3068 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2966, 547, 581, 513, 1257, 585, 519, 1101, 1576, 538, 519, 2852, 6128, 6437, 602, 12857, 1053, 547, 519, 3157, 540, 14335, 543, 1603, 15997, 543, 6212, 593, 519, 6101, 1646, 540, 6128, 780, 1320, 3518, 333, 841, 281, 623, 269, 7621, 344, 269, 476, 3066, 267, 835, 540, 519, 9510, 17005, 15998, 540, 21482, 573, 781, 15689, 267, 513, 1837, 1031, 585, 27453, 547, 4001, 6169, 2914, 3876, 2553, 269, 634, 6516, 9311, 625, 3883, 4083, 267, 1160, 6570, 476, 276, 269, 630, 14276, 23792, 6393, 1607, 2985, 11331, 19556, 25705, 910, 5675, 543, 19577, 630, 306, 1495, 560, 668, 264, 568, 3838, 896, 513, 16671, 15760, 9539, 290, 4149, 288, 476, 274, 269, 271, 12689, 543, 729, 30363, 267, 1121, 12089, 267, 543, 5924, 26940, 676, 23413, 9530, 560, 668, 630, 306, 3273, 541, 17582, 7711, 294, 8681, 9503, 3557, 2160, 264, 3842, 2707, 1543, 602, 729, 12995, 547, 519, 2511, 543, 4441, 540, 519, 8644, 516, 17806, 338, 3760, 269, 0, 1001, 276, 268, 4905, 268, 6187, 307, 2537, 281, 6078, 281, 5392, 268, 4962, 281, 876, 454, 2414, 7941, 513, 6824, 676, 513, 6824, 596, 9062, 676, 519, 23483, 269, 2334, 1797, 602, 596, 2490, 519, 2034, 6824, 26700, 16365, 267, 543, 9062, 563, 3383, 952, 596, 723, 476, 274, 270, 279, 5258, 676, 476, 280, 270, 1626, 267, 596, 786, 1439, 909, 609, 454, 274, 270, 279, 2608, 476, 1626, 270, 280, 454, 3383, 1631, 596, 666, 14458, 25241, 958, 267, 543, 621, 3587, 476, 272, 270, 272, 2608, 476, 273, 270, 274, 267, 799, 568, 519, 1482, 607, 476, 272, 2608, 476, 273, 270, 274, 269, 1109, 634, 1985, 1900, 1131, 581, 1175, 547, 9062, 8454, 899, 3339, 267, 855, 2094, 649, 917, 602, 1022, 1297, 2053, 476, 272, 568, 519, 1297, 267, 519, 2626, 568, 476, 273, 270, 274, 454, 28775, 713, 5280, 267, 543, 1745, 1863, 547, 2307, 811, 2055, 952, 596, 991, 8627, 263, 912, 14188, 1411, 1360, 1454, 21965, 1822, 8627, 901, 729, 5363, 563, 5591, 1966, 256, 2336, 1001, 276, 268, 4905, 268, 6187, 307, 2537, 281, 5379, 281, 6246, 268, 4962, 281, 876, 454, 3721, 272, 281, 18141, 454, 7474, 1611, 596, 1832, 476, 274, 270, 279, 3339, 454, 21163, 273, 281, 4219, 454, 7474, 1611, 596, 1689, 1109, 383, 371, 547, 1109, 9943, 454, 274, 270, 279, 9943, 454, 21163, 274, 281, 4148, 760, 454, 7474, 1611, 596, 16212, 519, 2034, 1109, 15893, 454, 280, 270, 1626, 1689, 547, 476, 1626, 270, 280, 454, 274, 270, 279, 9943, 1626, 270, 280, 284, 4366, 270, 7761, 0, 29479, 7726, 540, 519, 4303, 910, 11545, 547, 707, 25357, 7901, 282, 2182, 3283, 1152, 692, 898, 568, 4867, 476, 1691, 4239, 476, 1001, 280, 267, 476, 4905, 281, 1321, 692, 2162, 17918, 11833, 11545, 16721, 692, 2971, 11289, 596, 585, 1210, 519, 22245, 910, 713, 4359, 1907, 666, 7447, 707, 2773, 543, 2303, 811, 2259, 2055, 269, 1284, 723, 20401, 539, 596, 547, 11545, 16721, 5999, 3842, 4757, 780, 20578, 1242, 454, 1721, 1411, 692, 933, 786, 4584, 1007, 2055, 602, 6474, 707, 1377, 1759, 593, 707, 7033, 518, 3778, 692, 9199, 1188, 692, 22336, 3018, 267, 649, 3580, 6494, 596, 606, 6059, 17918, 6060, 1759, 593, 707, 2773, 692, 20797, 454, 303, 904, 692, 933, 786, 4584, 1007, 2055, 602, 6474, 707, 1377, 1759, 593, 707, 7033, 518, 3778, 692, 258, 590, 7176, 268, 1704, 692, 12041, 24606, 454, 307, 8980, 306, 1384, 2162, 31674, 16193, 692, 13043, 16869, 454, 16274, 281, 476, 6349, 9484, 476, 1220, 280, 454, 15803, 281, 476, 6812, 273, 6872, 692, 2162, 8058, 16193, 692, 1626, 9484, 476, 1001, 275, 267, 476, 4905, 281, 7367, 454, 876, 281, 876, 692, 11795, 22187, 1384, 4817, 260, 630, 14551, 2020, 9223, 853, 1846, 1384, 279, 260, 630, 6349, 281, 6734, 264, 2953, 476, 10844, 260, 630, 6349, 281, 6349, 264, 4636, 1759, 593, 476, 8287, 7886, 692, 2162, 31674, 17004, 22245, 10803, 692, 1692, 1082, 1114, 5036, 540, 2318, 4009, 9981, 267, 1142, 3152, 982, 476, 272, 267, 1039, 909, 547, 476, 4037, 2496, 288, 269, 476, 272, 454, 289, 269, 476, 275, 454, 290, 269, 476, 278, 454, 291, 269, 476, 1556, 454, 292, 269, 476, 1724, 692, 6303, 29390, 13043, 16869, 454, 16274, 281, 476, 6349, 9484, 476, 1220, 280, 454, 15803, 281, 476, 6812, 273, 6872, 692, 2162, 8058, 16193, 692, 1626, 9484, 476, 1001, 275, 267, 476, 4905, 281, 7367, 454, 302, 24810, 8827, 1384, 1692, 1082, 1114, 5036, 540, 2318, 4009, 9981, 267, 1142, 3152, 982, 476, 272, 267, 1039, 909, 547, 476, 4037, 2496, 288, 269, 476, 272, 454, 289, 269, 476, 275, 454, 290, 269, 476, 278, 454, 291, 269, 476, 1556, 454, 292, 269, 476, 1724, 692, 5575, 267, 2482, 856, 519, 2009, 2338, 596, 666, 946, 538, 519, 2040, 269, 634, 2318, 4009, 9981, 3152, 982, 476, 272, 855, 1447, 982, 476, 4037, 616, 476, 275, 267, 476, 280, 267, 476, 1626, 267, 476, 1839, 267, 476, 3607, 267, 476, 5392, 267, 543, 476, 5038, 780, 3086, 267, 1577, 781, 1711, 513, 2009, 1305, 543, 1287, 1294, 2436, 649, 666, 4188, 621, 269, 898, 781, 9425, 6654, 602, 1614, 476, 1839, 781, 1039, 909, 547, 476, 4037, 267, 865, 938, 1101, 1305, 568, 2715, 1839, 267, 476, 1839, 267, 476, 1839, 348, 780, 2171, 1522, 1631, 11291, 519, 1034, 4583, 1383, 540, 519, 25355, 14497, 281, 3230, 280, 1341, 476, 1626, 815, 476, 1839, 21974, 1924, 649, 666, 23396, 856, 267, 1967, 1947, 267, 513, 476, 1839, 543, 5372, 621, 609, 513, 476, 280, 543, 513, 476, 1626, 269, 2060, 5036, 267, 1931, 1281, 711, 2339, 267, 865, 649, 1205, 1614, 811, 2009, 5036, 1384, 346, 1839, 267, 476, 1839, 267, 476, 280, 267, 476, 1626, 10926, 346, 1839, 267, 476, 280, 267, 476, 1626, 267, 476, 280, 267, 476, 1626, 10926, 346, 280, 267, 476, 1626, 267, 476, 280, 267, 476, 1626, 267, 476, 280, 267, 476, 1626, 10926, 1607, 3947, 721, 476, 275, 5036, 865, 2484, 269, 1717, 267, 649, 666, 1631, 23396, 856, 476, 1626, 781, 585, 2185, 476, 275, 781, 269, 1284, 666, 798, 865, 607, 5205, 780, 3080, 2009, 23396, 585, 519, 1305, 609, 835, 476, 1626, 1384, 346, 1839, 267, 476, 1839, 267, 476, 280, 267, 476, 275, 267, 476, 275, 267, 476, 275, 267, 476, 275, 10926, 10521, 2009, 2220, 2355, 585, 519, 1305, 609, 1079, 476, 1626, 781, 1384, 346, 1839, 267, 476, 280, 267, 476, 1626, 267, 476, 280, 267, 476, 275, 267, 476, 275, 267, 476, 275, 267, 476, 275, 10926, 346, 1839, 267, 476, 280, 267, 476, 275, 267, 476, 275, 267, 476, 275, 267, 476, 275, 267, 476, 280, 267, 476, 275, 267, 476, 275, 267, 476, 275, 267, 476, 275, 10926, 4517, 1614, 2009, 2220, 2355, 585, 519, 1305, 609, 1614, 476, 1626, 781, 1384, 346, 280, 267, 476, 1626, 267, 476, 280, 267, 476, 1626, 267, 476, 280, 267, 476, 275, 267, 476, 275, 267, 476, 275, 267, 476, 275, 10926, 346, 280, 267, 476, 1626, 267, 476, 280, 267, 476, 275, 267, 476, 275, 267, 476, 275, 267, 476, 275, 267, 476, 280, 267, 476, 275, 267, 476, 275, 267, 476, 275, 267, 476, 275, 10926, 346, 280, 267, 476, 275, 267, 476, 275, 267, 476, 275, 267, 476, 275, 267, 476, 280, 267, 476, 275, 267, 476, 275, 267, 476, 275, 267, 476, 275, 267, 476, 280, 267, 476, 275, 267, 476, 275, 267, 476, 275, 267, 476, 275, 10926, 6524, 2469, 547, 519, 3677, 10945, 267, 649, 1058, 16145, 936, 938, 1592, 543, 1294, 2436, 649, 666, 798, 1022, 2220, 2355, 1369, 519, 5036, 649, 4312, 2907, 2813, 267, 1210, 1152, 10945, 3160, 547, 476, 1839, 610, 1447, 269, 634, 1152, 23396, 649, 666, 798, 568, 538, 519, 2063, 1305, 281, 649, 666, 23396, 856, 8370, 476, 275, 781, 543, 5372, 873, 609, 2185, 476, 280, 781, 1384, 346, 280, 267, 476, 275, 267, 476, 275, 267, 476, 275, 267, 476, 275, 267, 476, 280, 267, 476, 275, 267, 476, 275, 267, 476, 275, 267, 476, 275, 267, 476, 280, 267, 476, 275, 267, 476, 275, 267, 476, 275, 267, 476, 275, 348, 815, 1614, 476, 280, 781, 543, 12964, 476, 275, 781, 692, 2041, 3699, 692, 346, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 275, 267, 476, 275, 267, 476, 275, 348, 815, 5722, 476, 280, 781, 543, 1614, 476, 275, 781, 692, 2171, 616, 1631, 693, 513, 2698, 540, 476, 1556, 5036, 267, 2348, 25356, 519, 7399, 602, 1152, 4125, 519, 10945, 3160, 547, 476, 1839, 610, 1447, 269, 3657, 972, 1022, 5036, 602, 4125, 3677, 10945, 2496, 2171, 666, 3533, 2638, 1384, 5038, 666, 1405, 581, 538, 519, 1305, 267, 1317, 519, 31629, 630, 1556, 264, 666, 1405, 581, 4646, 689, 519, 2040, 540, 476, 280, 781, 543, 5924, 476, 275, 781, 780, 5392, 27114, 581, 538, 519, 1305, 269, 634, 31629, 630, 2918, 264, 666, 581, 4646, 676, 519, 2040, 540, 1079, 476, 280, 781, 267, 543, 1079, 476, 275, 781, 267, 865, 649, 1205, 692, 346, 5392, 267, 476, 280, 267, 476, 280, 267, 476, 275, 267, 476, 275, 10926, 3607, 27114, 581, 538, 519, 1305, 269, 634, 31629, 630, 4375, 264, 666, 581, 2854, 607, 519, 2040, 540, 1614, 476, 280, 781, 543, 1614, 476, 275, 781, 267, 865, 649, 1205, 692, 346, 3607, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 275, 267, 476, 275, 267, 476, 275, 10926, 13295, 267, 519, 2698, 1297, 540, 1114, 5036, 568, 476, 1724, 780, 6303, 29390, 12421, 454, 16274, 281, 476, 1704, 3967, 476, 1001, 276, 454, 15803, 281, 476, 1724, 692, 2162, 8058, 16193, 692, 2537, 3057, 476, 1001, 276, 267, 476, 4905, 281, 7871, 454, 10472, 1058, 581, 476, 10384, 266, 7411, 607, 621, 568, 2921, 865, 1454, 942, 1862, 780, 12179, 30246, 585, 713, 888, 13043, 16869, 454, 16274, 281, 476, 6349, 9484, 476, 1220, 280, 454, 15803, 281, 476, 6812, 273, 6872, 692, 2162, 8058, 16193, 692, 2537, 3057, 476, 1001, 276, 267, 476, 6734, 281, 2767, 454, 326, 879, 9545, 332, 880, 571, 15171, 5206, 912, 10472, 1058, 581, 476, 10384, 266, 7411, 607, 621, 568, 2921, 865, 1454, 942, 1862, 780, 12179, 30246, 585, 713, 2496, 13425, 1934, 281, 875, 2173, 1415, 1673, 27075, 1606, 1115, 6361, 25698, 30026, 10784, 1122, 619, 3887, 778, 268, 279, 8287, 6021, 11258, 454, 6303, 29390, 14483, 9906, 454, 16274, 281, 476, 2190, 7325, 476, 1001, 277, 454, 15803, 281, 476, 4037, 454, 19613, 281, 2136, 2276, 630, 11085, 994, 29479, 476, 272, 281, 476, 278, 1789, 1627, 7906, 966, 2412, 454, 294, 5183, 281, 476, 274, 269, 277, 692, 2162, 8058, 16193, 692, 3066, 4119, 476, 1001, 277, 267, 476, 866, 281, 2190, 454, 1607, 568, 711, 1360, 2182, 267, 855, 2094, 972, 568, 1100, 4542, 547, 1205, 547, 519, 2626, 267, 621, 781, 2469, 547, 1491, 513, 1279, 942, 269, 901, 568, 9090, 476, 16020, 266, 2243, 563, 14483, 9906, 454, 16274, 281, 476, 2190, 7325, 476, 1001, 277, 454, 15803, 281, 476, 4037, 454, 19613, 281, 2136, 2276, 630, 11085, 994, 29479, 476, 272, 281, 476, 278, 1789, 1627, 7906, 966, 2412, 454, 294, 5183, 281, 476, 274, 269, 277, 692, 2162, 8058, 16193, 692, 3066, 4119, 476, 1001, 277, 267, 476, 866, 281, 2767, 454, 2252, 713, 2243, 568, 12691, 547, 1397, 909, 538, 606, 4890, 17918, 1449, 267, 1018, 568, 519, 2601, 621, 568, 4280, 1934, 538, 17918, 8630, 1449, 888, 12421, 454, 16274, 281, 476, 4962, 3057, 476, 1001, 278, 454, 15803, 281, 476, 277, 454, 19613, 281, 3127, 454, 29479, 476, 272, 281, 476, 30663, 1627, 5392, 966, 2767, 692, 2162, 8058, 16193, 692, 1240, 4119, 476, 1001, 278, 267, 476, 876, 281, 1789, 454, 272, 454, 296, 4126, 972, 1590, 581, 930, 7954, 547, 713, 2243, 269, 1452, 2186, 540, 2055, 991, 547, 581, 1236, 5792, 1310, 476, 2568, 2034, 3193, 563, 12421, 454, 16274, 281, 476, 1626, 9947, 476, 1001, 279, 454, 15803, 281, 476, 274, 692, 2162, 8058, 16193, 692, 2641, 9947, 476, 1001, 279, 267, 476, 866, 281, 5655, 454, 272, 454, 684, 724, 1018, 513, 29695, 2243, 713, 568, 3267, 563, 13043, 16869 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 27762, 883, 1864, 602, 1500, 812, 883, 513, 2713, 1373, 269, 28080, 636, 2201, 30448, 657, 11225, 713, 23009, 2670, 607, 13321, 14088, 883, 8297, 778, 1509, 531, 11253, 267, 834, 14588, 1136, 6891, 1701, 4935, 267, 519, 1272, 799, 1152, 13201, 1335, 666, 9886, 543, 799, 568, 2189, 547, 18495, 4805, 568, 519, 7787, 11305, 4321, 9997, 267, 799, 2882, 1010, 2702, 547, 5968, 998, 4633, 269, 2494, 568, 11506, 936, 519, 3662, 10806, 676, 1010, 2702, 547, 1589, 543, 3717, 4111, 1836, 269, 2060, 513, 10516, 2501, 5539, 282, 4061, 267, 812, 1590, 1118, 946, 540, 891, 538, 3028, 540, 519, 31471, 26663, 563, 763, 1379, 540, 4633, 23327, 812, 781, 11506, 4567, 543, 849, 1010, 5692, 269, 1879, 812, 10969, 919, 1010, 717, 1673, 3766, 1508, 1379, 540, 4633, 676, 1210, 621, 4636, 569, 267, 971, 607, 585, 561, 1662, 517, 3520, 320, 267, 9409, 4633, 267, 521, 1633, 2730, 4633, 267, 610, 3274, 27830, 1913, 593, 28971, 18174, 880, 1145, 267, 646, 7551, 30001, 519, 512, 345, 32136, 688, 262, 611, 600, 267, 3239, 540, 812, 269, 1261, 949, 1413, 519, 1482, 267, 855, 267, 593, 513, 24656, 569, 4336, 267, 1010, 5691, 5920, 814, 1044, 3648, 12012, 563, 1607, 568, 513, 3209, 2856, 269, 2755, 835, 949, 598, 1027, 324, 602, 6340, 561, 1662, 517, 3520, 320, 568, 5963, 4636, 543, 3858, 602, 621, 1281, 723, 513, 2942, 1764, 593, 1864, 267, 713, 4203, 625, 12412, 568, 1152, 609, 2543, 547, 1010, 22867, 513, 5609, 799, 21810, 1864, 883, 2576, 1447, 982, 4075, 6681, 269, 1261, 1281, 711, 267, 2705, 267, 8275, 602, 1010, 3003, 512, 345, 3120, 327, 267, 3239, 267, 568, 4957, 269, 1261, 814, 4990, 540, 9903, 730, 5128, 538, 606, 3239, 4831, 547, 519, 835, 13201, 1335, 5795, 1864, 269, 901, 568, 3978, 543, 14850, 701, 6545, 519, 19838, 2958, 1190, 2470, 540, 9409, 4633, 563, 2026, 2141, 267, 972, 568, 513, 1166, 2354, 728, 269, 634, 1367, 945, 22651, 1010, 4633, 267, 945, 568, 6297, 547, 2226, 513, 2973, 5023, 267, 513, 11469, 799, 6212, 593, 519, 2318, 267, 5711, 4082, 799, 568, 11603, 585, 22560, 1353, 267, 11755, 543, 6340, 2318, 267, 25432, 6173, 908, 4633, 267, 568, 2965, 3413, 15256, 543, 3731, 4328, 717, 1673, 781, 5137, 269, 1635, 1368, 8973, 835, 781, 4633, 267, 646, 18203, 543, 6173, 919, 5128, 538, 513, 1259, 7429, 519, 2773, 540, 1022, 824, 5378, 345, 341, 1695, 563, 763, 1739, 3992, 568, 11911, 547, 9710, 822, 962, 6308, 577, 752, 670, 583, 1676, 267, 1990, 331, 269, 1879, 649, 1589, 827, 621, 267, 14088, 729, 8385, 2813, 4805, 269, 634, 3003, 1158, 729, 547, 581, 11603, 585, 1864, 910, 543, 1864, 4805, 269, 1548, 991, 729, 972, 538, 1010, 1379, 540, 4633, 286, 2991, 782, 267, 609, 7247, 1131, 646, 598, 2091, 286, 1261, 6157, 729, 711, 2469, 547, 4163, 593, 513, 6643, 609, 2818, 540, 519, 3662, 10806, 269, 634, 8307, 2290, 609, 1733, 558, 646, 1223, 3717, 729, 9039, 824, 982, 13201, 1335, 269, 901, 6920, 602, 8385, 519, 3483, 540, 812, 781, 5137, 729, 547, 598, 2091, 609, 543, 7281, 547, 13201, 1335, 269, 901, 568, 782, 24231, 547, 950, 519, 32488, 4157, 630, 273, 281, 276, 264, 2829, 281, 966, 262, 611, 600, 32318, 514, 3288, 822, 617, 1965, 688, 262, 611, 600, 1695, 267, 834, 4517, 972, 729, 1100, 812, 547, 960, 519, 3037, 1701, 634, 1158, 2838, 812, 609, 1010, 5042, 2702, 547, 8275, 519, 2956, 540, 4764, 585, 10664, 547, 1332, 269, 1261, 7281, 539, 267, 543, 519, 4764, 8593, 269, 9453, 1010, 11755, 267, 4986, 1131, 4755, 269, 9453, 1010, 2634, 267, 972, 1131, 581, 1100, 11755, 269, 4935, 267, 812, 781, 1599, 568, 547, 1589, 827, 1018, 568, 1271, 543, 547, 2769, 1010, 991, 998, 11755, 269, 18421, 3116, 568, 513, 3653, 563, 31549, 1335, 4432, 758, 574, 1767, 267, 834, 2005, 568, 711, 1434, 602, 812, 581, 4805, 282, 594, 786, 1118, 1864, 513, 25961, 7222, 547, 1864, 1701, 630, 273, 281, 1240, 994, 763, 1913, 3138, 547, 341, 267, 711, 1434, 267, 2995, 621, 782, 269, 2494, 729, 4830, 543, 1582, 1606, 11211, 269, 1160, 21551, 729, 606, 2702, 609, 799, 646, 729, 2813, 269, 1924, 267, 1946, 1705, 646, 2154, 513, 948, 22940, 286, 589, 1272, 4805, 568, 834, 2254, 3983, 2437, 855, 621, 568, 849, 834, 2254, 1434, 1701, 1280, 812, 547, 3035, 1010, 3119, 1599, 267, 646, 2115, 519, 31070, 267, 1489, 543, 4161, 7915, 538, 1169, 1434, 7365, 269, 13201, 1335, 4941, 519, 1453, 4535, 547, 14088, 543, 1010, 2104, 19898, 547, 581, 4535, 689, 543, 6659, 676, 513, 4651, 543, 3993, 269, 21452, 267, 1991, 547, 519, 5137, 540, 4807, 267, 13201, 1335, 4547, 1169, 2249, 540, 3662, 910, 3552, 28458, 543, 535, 25717, 910, 547, 1864, 547, 1294, 1018, 4408, 646, 1131, 2285, 873, 269, 589, 2012, 11225, 606, 1367, 781, 9759, 281, 1010, 1915, 282, 7209, 282, 2123, 5397, 282, 543, 2631, 540, 5692, 269, 14088, 6594, 782, 540, 891, 13144, 543, 5795, 873, 4408, 269, 634, 22560, 1287, 8591, 602, 267, 7429, 519, 824, 13144, 267, 14088, 1705, 711, 723, 513, 4775, 11218, 269, 681, 20076, 6941, 602, 14088, 6743, 909, 547, 13201, 1335, 543, 1767, 267, 834, 10376, 835, 814, 513, 1649, 1990, 1872, 267, 7649, 267, 609, 7247, 547, 2671, 741, 1272, 910, 3025, 855, 803, 1701, 2311, 602, 1448, 267, 13201, 1335, 5116, 14088, 883, 513, 2620, 3207, 543, 2813, 932, 822, 1695, 585, 1864, 563, 3963, 729, 621, 2556, 585, 14088, 547, 2743, 1169, 5137, 1354, 13201, 1335, 2813, 932, 822, 1695, 286, 4208, 1705, 13201, 1335, 711, 3274, 1711, 932, 822, 1695, 286, 769, 519, 694, 2536, 267, 1955, 23821, 822, 328, 1306, 747, 1695, 267, 519, 2278, 10530, 606, 740, 600, 15046, 565, 945, 6941, 713, 18991, 269, 7638, 19935, 267, 13201, 1335, 1767, 602, 834, 527, 568, 711, 6190, 602, 594, 917, 602, 1510, 513, 7385, 835, 3112, 3035, 547, 341, 267, 621, 568, 2556, 602, 14088, 8275, 602, 646, 568, 7508, 1945, 1701, 8307, 1287, 786, 646, 2631, 519, 6909, 957, 540, 524, 1127, 539, 267, 11587, 267, 799, 13201, 1335, 1705, 585, 1864, 563, 288, 9393, 1590, 8275, 543, 11760, 1018, 646, 568, 7508, 543, 875, 28119, 646, 1131, 581, 1510, 1010, 7385, 269, 19227, 267, 519, 7365, 568, 7508, 922, 1034, 4105, 5057, 910, 13201, 1335, 269, 8307, 950, 513, 9393, 30877, 875, 26752, 646, 568, 267, 1281, 646, 5265, 5660, 519, 11587, 13201, 1335, 1655, 15735, 593, 1864, 269, 2290, 945, 14659, 602, 646, 568, 519, 581, 22433, 543, 519, 1439, 22433, 5784, 7365, 607, 4986, 811, 982, 1582, 3766, 7806, 2305, 269, 898, 786, 711, 581, 513, 2078, 282, 621, 786, 711, 581, 513, 11450, 282, 646, 786, 711, 723, 31070, 269, 13201, 1335, 786, 711, 581, 513, 851, 540, 621, 267, 543, 621, 786, 556, 3200, 547, 1373, 834, 5979, 547, 341, 2437, 711, 1434, 267, 1317, 9247, 519, 812, 568, 1869, 26550, 5964, 910, 4805, 563, 31549, 1335, 1767, 547, 1864, 267, 834, 11997, 945, 1197, 1793, 904, 28270, 514, 267, 1354, 5722, 5481, 723, 5293, 646, 786, 581, 27052, 1701, 630, 275, 281, 1428, 994, 298, 599, 514, 5609, 2740, 19838, 2958, 13124, 267, 2469, 1524, 538, 1686, 607, 519, 1101, 15294, 19907, 269, 1261, 3576, 519, 7329, 22690, 545, 1533, 540, 717, 534, 3798, 523, 543, 9927, 621, 883, 513, 11318, 2361, 269, 1548, 2306, 1010, 632, 539, 782, 519, 811, 829, 5371, 1190, 568, 519, 2601, 585, 519, 12638, 281, 30983, 269, 5502, 540, 1565, 689, 1261, 767, 781, 957, 540, 5356, 513, 737, 528, 3316, 267, 15093, 267, 689, 1010, 1781, 545, 652, 1166, 4169, 267, 28270, 514, 7166, 1864, 269, 2037, 11803, 1281, 602, 547, 513, 1268, 267, 1025, 4193, 1864, 689, 7487, 1018, 568, 2356, 513, 2241, 5168, 602, 1223, 1689, 1010, 1272, 269, 5502, 267, 646, 19754, 519, 28034, 563, 298, 599, 514, 7691, 1932, 3735, 602, 646, 19500, 29070, 569, 267, 855, 646, 1065, 5034, 269, 13201, 1335, 7608, 28270, 514, 781, 512, 21983, 12320, 1695, 267, 855, 10751, 1185, 547, 581, 1558, 539, 856, 269, 898, 1131, 1491, 5722, 5481, 585, 713, 547, 581, 7691, 269, 898, 729, 538, 519, 942, 540, 19748, 3663, 267, 4171, 5067, 267, 16515, 1998, 11860, 599, 514, 267, 729, 606, 4274, 693, 17975, 543, 5935, 2645, 543, 4401, 24408, 1154, 7405, 269, 681, 20076, 4967, 519, 834, 1241, 344, 257, 540, 16515, 1998, 11860, 599, 514, 781, 3924, 267, 538, 602, 28270, 514, 729, 519, 1101, 15294, 19907, 543, 1010, 1390, 3766, 571, 2738, 517, 1500, 9604, 585, 15294, 18996, 269, 1548, 28270, 514, 1185, 862, 10642, 607, 513, 1267, 540, 796, 8455, 1194, 679, 11803, 267, 16515, 1998, 11860, 599, 514, 11506, 547, 29880, 1106, 563, 3080, 1554, 267, 16515, 1998, 11860, 599, 514, 3576, 1010, 9420, 4651, 267, 19748, 3663, 267, 593, 513, 10122, 7552, 269, 22628, 1018, 646, 2219, 729, 606, 3662, 267, 16515, 1998, 11860, 599, 514, 25009, 1010, 4651, 547, 2322, 606, 15561, 538, 519, 844, 1853, 543, 5305, 519, 6367, 269, 19759, 569, 267, 519, 4137, 602, 646, 4718, 729, 711, 606, 3662, 267, 855, 1010, 1390, 3766, 8681, 15289, 267, 28270, 514, 269, 4935, 267, 13201, 1335, 31372, 5722, 5481, 547, 19439, 28270, 514, 609, 1010, 1378, 6074, 1505, 585, 3257, 2476, 609, 513, 834, 2889, 12378, 1701, 4495, 1586, 267, 621, 729, 1920, 267, 1010, 1360, 1378, 1178, 2738, 517, 267, 945, 7166, 1864, 563, 3963, 1705, 13201, 1335, 7227, 5722, 5481, 547, 19439, 28270, 514, 286, 5015, 267, 28270, 514, 2760, 6785, 646, 729, 1373, 27052, 269, 1879, 519, 15561, 13351, 922, 1665, 267, 646, 729, 4666, 269, 769, 834, 288, 966, 677, 3245, 24497, 31656, 2437, 15887, 6798, 1744, 565, 558, 8055, 524, 2572, 519, 681, 9655, 15917, 21983, 643, 1695, 945, 32625, 602, 13201, 1335, 568, 3450, 721, 606, 1271, 3992, 269, 898, 729, 519, 4098, 540, 942, 282, 1004, 1131, 5609, 269, 2368, 1522, 1256, 1589, 789, 1223, 1205, 2476, 609, 621, 269, 901, 568, 2523, 3020, 950, 513, 1297, 540, 1296, 723, 1714, 17863, 2094, 513, 5609, 729, 8149, 543, 4986, 4667, 547, 723, 5949, 269, 634, 5609, 1676, 5956, 547, 1589, 646, 814, 20335, 2476, 1085, 582, 6954, 563, 298, 599, 514, 781, 13357, 7006, 1564, 713, 10206, 689, 938, 8186, 269, 18599, 5481, 4682, 676, 269, 28270, 514, 4440, 2219, 621, 729, 936, 543, 2944, 609, 269, 13201, 1335, 28279, 721, 6382, 269, 1548, 513, 1268, 1281, 814, 2484, 23568, 2360, 910, 1419, 2484, 3564, 1010, 1378, 14438, 269, 15742, 1915, 7592, 267, 2623, 3270, 267, 543, 7209, 4713, 799, 1522, 3100, 21030, 6681, 1631, 267, 616, 1419, 15110, 543, 834, 22519, 2331, 257, 676, 835, 781, 18939, 543, 2919, 883, 2407, 8397, 1915, 20924, 602, 838, 11921, 782, 3029, 540, 9409, 563, 2026, 2141, 267, 972, 568, 513, 2318, 16212, 20933, 269, 634, 1482, 18939, 949, 27836, 835, 781, 2318, 1915, 7592, 267, 17975, 873, 585, 3152, 9740, 538, 741, 1285, 617, 553, 13201, 1335, 269, 769, 1022, 2680, 267, 519, 3992, 568, 3532, 281, 1548, 649, 798, 834, 339, 3736, 257, 666, 723, 3978, 29298, 834, 339, 558, 6563, 4799, 309, 24202, 327, 5364, 600, 26550, 2033, 15939, 269, 17546, 873, 8499, 547, 707, 1453, 563, 309, 24202, 327, 5364, 600, 26550, 2033, 15939, 12777, 1797, 834, 663, 32260, 873, 2437, 799, 932, 1794, 531, 2491, 547, 1611, 267, 834, 763, 1913, 540, 22560, 616, 547, 581, 25921, 6829, 676, 707, 5023, 1701, 634, 22560, 781, 10752, 1058, 581, 6026, 538, 513, 8325, 267, 5730, 267, 5969, 6316, 6073, 267, 865, 602, 519, 2875, 786, 723, 513, 2312, 543, 13801, 1620, 540, 519, 1641, 2339, 269, 1403, 22560, 568, 711, 5693, 6956, 267, 835, 786, 581, 8572, 547, 4431, 547, 10300, 778, 545, 2055, 269, 3958, 267, 952, 519, 22560, 568, 711, 6956, 1134, 267, 9073, 538, 1312, 10300, 778, 1695, 543, 19474, 330, 2378, 1695, 267, 9158, 545, 17021, 267, 949, 2049, 269, 2353, 1932, 1419, 649, 2097, 2390, 513, 1268, 4171, 4282, 543, 7071, 540, 22560, 568, 4617, 543, 3765, 7666, 3660, 1813, 547, 1010, 4116, 781, 17418, 547, 6655, 519, 3992, 5265, 269, 2859, 1419, 982, 711, 267, 713, 568, 1317, 540, 519, 4116, 781, 21603, 1702, 540, 519, 1641, 2339 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 31103, 8079, 9847, 7183, 6769, 825, 7173, 14729, 815, 11196, 17092, 3918, 2894, 318, 4047, 20846, 1315, 476, 273, 264, 1341, 476, 1789, 1477, 825, 6074, 815, 1496, 15947, 825, 585, 1775, 538, 15712, 6769, 1038, 759, 815, 3903, 17338, 6600, 559, 614, 10857, 10033, 1535, 281, 711, 1535, 538, 6074, 267, 23333, 27633, 4297, 3418, 1038, 6074, 6910, 263, 637, 3418, 1038, 1775, 269, 10233, 263, 637, 3418, 1038, 1775, 4732, 32497, 2891, 7538, 14744, 1038, 1775, 4877, 523, 1575, 14052, 1038, 1775, 15630, 1842, 263, 8987, 17092, 3918, 2894, 318, 310, 2839, 8025, 1315, 476, 273, 264, 1341, 476, 1789, 267, 7173, 14729, 3418, 1038, 7173, 14729, 6834, 476, 9873, 5897, 3698, 5198, 263, 4818, 564, 6002, 281, 5903, 314, 339, 31103, 11053, 31103, 316, 8029, 825, 1699, 26174, 815, 15712, 314, 271, 4940, 343, 14585, 14052, 825, 16771, 815, 7183, 1477, 825, 2164, 815, 2715, 328, 269, 10233, 3890, 314, 271, 13912, 1775, 11859, 14585, 3890, 585, 1775, 538, 15712, 348, 1477, 825, 1247, 1699, 26174, 2999, 630, 17092, 3918, 2894, 318, 310, 2839, 8025, 1315, 476, 273, 264, 910, 476, 1789, 6769, 1038, 585, 512, 538, 15712, 6769, 2018, 512, 8807, 323, 263, 8681, 842, 263, 276, 267, 476, 736, 17903, 2018, 952, 512, 11859, 14585, 3890, 3436, 1699, 26174, 6769, 3546, 1699, 26174, 815, 512, 11859, 14585, 14052, 3546, 16771, 815, 512, 269, 10233, 3890, 314, 271, 15947, 2018, 2164, 314, 339, 269, 10233, 3890, 314, 271, 14963, 815, 512, 11859, 14585, 14052, 1038, 4994, 815, 476, 271, 1477, 825, 2132, 16771, 267, 2164, 5897, 604, 6449, 4067, 1029, 2652, 26242, 10852, 1029, 257, 6769, 825, 5496, 815, 14854, 2529, 10547, 14052, 825, 1247, 6936, 6769, 1038, 15712, 815, 1496, 339, 31103, 11053, 31103, 2891, 339, 31103, 8442, 585, 9041, 538, 2039, 263, 276, 13580, 1477, 1038, 5496, 15630, 1575, 263, 17092, 3918, 2894, 318, 310, 2839, 8025, 267, 14662, 3918, 2894, 318, 4047, 20846, 3418, 1038, 5496, 26644, 2891, 307, 31103, 17040, 14744, 1038, 6582, 263, 4818, 564, 6002, 3418, 1038, 1239, 815, 14854, 269, 3667, 6358, 6025, 1856, 6889, 289, 564, 2580, 5401, 6889, 8005, 786, 3094, 281, 834, 3418, 1038, 952, 711, 7003, 16597, 264, 610, 711, 1239, 538, 23333, 27633, 281, 21506, 2018, 5496, 269, 2193, 1513, 10547, 14052, 2018, 3136, 1477, 1038, 16771, 267, 2164, 815, 5198, 263, 4818, 564, 6002, 3418, 1038, 952, 16771, 31573, 3890, 2652, 1239, 31573, 263, 2567, 1820, 6600, 257, 7312, 14854, 4465, 256, 634, 16771, 14854, 729, 2715, 7773, 1676, 348, 14744, 1038, 3116, 281, 1820, 6600, 257, 7312, 14854, 4503, 256, 634, 16771, 14854, 729, 2715, 7773, 1676, 348, 14744, 1038, 1820, 2891, 305, 2464, 8085, 4811, 14826, 1366, 955, 268, 14744, 1038, 585, 1775, 267, 737, 538, 15044, 263, 29798, 29096, 19572, 1883, 284, 14433, 1535, 281, 1535, 314, 272, 3910, 9258, 18989, 8029, 2018, 1820, 6600, 257, 21760, 281, 2715, 328, 9574, 6060, 281, 2715, 330, 348, 14744, 1038, 3207, 263, 273, 264, 567, 1477, 1038, 5496, 269, 2193, 1513, 10547, 3890, 21506, 825, 14854, 6230, 664, 31467, 14052 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1336, 547, 29875, 519, 14074, 540, 713, 1876, 4927, 581, 13684, 609, 26646, 610, 513, 5386, 540, 711, 1447, 32329, 667, 597, 327, 4461, 4557, 8536, 630, 288, 3633, 476, 1015, 267, 1822, 264, 855, 711, 811, 982, 32329, 667, 597, 327, 4461, 835, 4627, 8536, 630, 288, 3633, 476, 1911, 267, 1822, 1916, 305, 1961, 540, 519, 6239, 7813, 540, 32329, 543, 519, 11038, 11106, 19590, 454, 763, 6239, 7813, 540, 32329, 568, 519, 9431, 6392, 936, 782, 519, 2883, 5238, 267, 4171, 960, 568, 547, 27459, 1047, 267, 6895, 267, 2097, 909, 609, 3609, 24578, 9778, 543, 5528, 2556, 585, 7863, 519, 17258, 540, 519, 32329, 779, 2883, 1062, 269, 898, 849, 2152, 27121, 547, 519, 2883, 5238, 543, 666, 1491, 3527, 1996, 519, 2883, 9872, 799, 14543, 547, 7747, 519, 6042, 269, 2290, 540, 519, 7986, 22277, 3664, 799, 519, 6239, 7813, 540, 32329, 814, 5293, 609, 2463, 547, 8396, 1154, 519, 2724, 561, 879, 837, 532, 2238, 568, 519, 16410, 6839, 17423, 7089, 476, 1015, 540, 476, 1001, 280, 7282, 519, 20074, 19938, 630, 1492, 20074, 22769, 264, 540, 8549, 4521, 7089, 476, 736, 540, 476, 1001, 279, 593, 519, 14640, 5336, 2292, 700, 879, 837, 532, 543, 10395, 520, 1154, 519, 5685, 3496, 540, 28015, 1143, 543, 19129, 29729, 20871, 269, 634, 7598, 7939, 2488, 585, 1585, 14074, 899, 3268, 547, 581, 3144, 676, 519, 2883, 9872, 547, 11574, 4220, 267, 6240, 540, 1813, 31806, 267, 5693, 11225, 519, 5686, 540, 2883, 8852, 543, 1585, 971, 3344, 547, 2327, 606, 2500, 6388, 540, 519, 14074, 540, 519, 14640, 5336, 2292, 700, 879, 837, 532, 4521, 269, 9137, 476, 276, 630, 275, 264, 540, 519, 14640, 5336, 2292, 700, 879, 837, 532, 4521, 2829, 602, 782, 519, 16171, 9753, 540, 7482, 4371, 676, 519, 2883, 9872, 13931, 676, 519, 6239, 7813, 540, 32329, 267, 666, 1152, 581, 13401, 998, 519, 6239, 7813, 540, 32329, 269, 7316, 607, 519, 3119, 1909, 540, 519, 4830, 11038, 11106, 19590, 630, 293, 308, 3674, 1070, 607, 17101, 676, 519, 6239, 7813, 540, 32329, 267, 568, 547, 6494, 519, 5359, 540, 1022, 19035, 8852, 610, 1022, 824, 971, 1344, 593, 782, 519, 2883, 5238, 547, 519, 19579, 8128, 585, 519, 3483, 540, 7421, 543, 12570, 971, 5359, 269, 898, 4927, 849, 8263, 519, 1909, 540, 27300, 1344, 779, 609, 519, 674, 308, 3674, 540, 824, 2477, 609, 14621, 547, 1022, 19035, 11834, 5359, 610, 1022, 824, 1344, 2556, 547, 3713, 519, 19035, 7482, 269, 898, 4927, 849, 581, 3743, 547, 2226, 513, 6538, 540, 782, 519, 4105, 1344, 2139, 563, 21809, 1393, 540, 7799, 2787, 454, 763, 14640, 5336, 2292, 700, 879, 837, 532, 4521, 2488, 538, 2376, 476, 3066, 602, 519, 7803, 2013, 896, 713, 1876, 4927, 581, 23614, 539, 689, 519, 29417, 540, 20159, 269, 4475, 267, 519, 24476, 4927, 711, 561, 8985, 609, 942, 610, 609, 519, 561, 8985, 540, 1022, 1644, 3540, 2665, 269, 0, 2171, 782, 917, 602, 476, 274, 291, 8228, 568, 513, 3728, 19145, 5663, 2029, 602, 3091, 8030, 782, 12204, 540, 1374, 543, 1486, 19685, 3255, 267, 855, 952, 1942, 568, 606, 3390, 1018, 798, 596, 798, 286, 5019, 565, 11274, 4280, 741, 1788, 11653, 585, 19605, 5663, 267, 26800, 657, 23202, 601, 529, 267, 585, 1010, 1283, 4388, 563, 304, 1548, 616, 519, 15864, 2081, 547, 2759, 3790, 950, 594, 993, 8888, 513, 851, 585, 476, 274, 291, 8228, 888, 307, 553, 657, 281, 1703, 616, 513, 1297, 540, 2596, 1919, 602, 596, 666, 798, 547, 5688, 1047, 707, 1374, 865, 602, 621, 16493, 3362, 543, 28761, 563, 6624, 540, 891, 2596, 3652, 616, 519, 1482, 607, 789, 616, 538, 13297, 2173, 746, 532, 3785, 1107, 946, 16795, 13289, 267, 2057, 8325, 15174, 543, 4585, 856, 585, 7381, 267, 5667, 6269, 9285, 6821, 269, 901, 786, 1118, 1919, 2095, 1732, 543, 1413, 1434, 267, 865, 972, 786, 581, 1447, 6304, 689, 8030, 543, 707, 1942, 786, 581, 2539, 563, 3719, 952, 596, 616, 6721, 3803, 2694, 1210, 476, 274, 291, 8228, 596, 991, 547, 3314, 1018, 621, 666, 3035, 269, 1411, 666, 849, 1374, 5214, 5546, 547, 2759, 3790, 1210, 9932, 1260, 2125, 267, 14290, 543, 9475, 547, 4688, 1570, 543, 4393, 942, 563, 304, 1772, 621, 2141, 513, 1434, 2856, 547, 946, 1447, 1570, 888, 307, 553, 657, 281, 898, 779, 3622, 513, 1434, 2856, 952, 596, 2461, 2469, 547, 581, 476, 274, 291, 8228, 585, 707, 8737, 1587, 269, 1403, 267, 2705, 267, 596, 616, 1210, 621, 585, 30384, 1287, 596, 849, 991, 547, 1589, 827, 1018, 568, 2009, 1210, 519, 3803, 5663, 1505, 563, 10111, 11538, 856, 513, 3302, 13701, 2079, 2038, 593, 538, 519, 1374, 4783, 666, 2327, 602, 1018, 596, 18634, 1210, 476, 274, 291, 8228, 666, 1869, 581, 3812, 950, 621, 2501, 547, 5663, 267, 799, 786, 4688, 596, 513, 2603, 540, 2724, 2663, 563, 304, 1772, 972, 4376, 602, 649, 1058, 2119, 547, 2057, 888, 307, 553, 657, 281, 27814, 2119, 547, 2057, 1022, 6281, 4238, 267, 607, 891, 782, 1039, 547, 707, 1942, 563, 1607, 568, 1447, 540, 606, 3390, 609, 16496, 8955, 5609, 18146, 1107, 610, 590, 11862, 1107, 607, 713, 2029, 3622, 3085, 1406, 991, 1454, 538, 519, 1259, 540, 2022, 3491, 22422, 269, 6034, 4496, 8955, 5609, 18146, 1107, 667, 7876, 306, 1107, 1498, 267, 1419, 3322, 21934, 13783, 3889, 547, 2061, 2112, 4771, 267, 543, 891, 991, 547, 581, 16924, 6569, 1310, 519, 851, 568, 9102, 563, 10214, 1287, 267, 2705, 267, 596, 666, 2759, 1524, 593, 519, 1297, 540, 6281, 4238, 676, 6236, 707, 851, 779, 9511, 269, 1924, 267, 585, 1383, 267, 2119, 547, 2057, 570, 6879, 16747, 609, 2462, 7916, 267, 543, 936, 28702, 338, 267, 607, 891, 991, 513, 2603, 540, 7028, 269, 1403, 596, 798, 991, 547, 1331, 1346, 5686, 540, 5546, 596, 1522, 581, 2111, 547, 1689, 519, 10066, 267, 865, 267, 3079, 540, 8228, 513, 570, 6879, 1901, 7555, 909, 267, 2490, 621, 26700, 1524, 563, 5194, 3364, 547, 2057, 568, 936, 2389, 11217, 3496, 707, 2694, 269, 2755, 596, 666, 14574, 11212, 5730, 7516, 267, 1589, 827, 1018, 596, 2965, 991, 269, 1403, 596, 2832, 585, 1945, 602, 568, 811, 4977, 982, 596, 991, 713, 666, 3196, 707, 10672, 547, 1628, 707, 851, 609, 25182, 543, 25182, 6106, 267, 799, 4679, 519, 1628, 942, 543, 519, 1942, 269, 6884, 649, 1522, 1256, 991, 547, 946, 6281, 20619, 4238, 547, 1205, 1919, 1369, 519, 10892, 649, 941, 2016, 1107, 1586, 713, 782, 8591, 547, 519, 1942, 563, 2252, 596, 991, 547, 3035, 1507, 7109, 1734, 543, 513, 1164, 4110, 540, 6111, 621, 568, 2009, 267, 855, 267, 2307, 3054, 2436, 596, 991, 621, 1101, 563, 304, 11109, 4988, 930, 540, 519, 1810, 685, 1206, 267, 616, 972, 1022, 1281, 602, 649, 666, 1374, 547, 4688, 3790, 888, 307, 553, 657, 281, 4107, 11932, 267, 3314, 1018, 476, 274, 291, 8228, 666, 3035, 585, 596, 543, 1810, 1406, 6336, 8289, 540, 1018, 596, 1616, 563, 274, 291, 8228, 666, 4688, 596, 6266, 540, 2724, 3564, 1346, 909, 12506, 3790, 563, 4415, 513, 3787, 540, 3860, 3206, 267, 596, 666, 1820, 7864, 4773, 543, 1491, 5413, 540, 2934, 602, 1131, 581, 7543, 609, 2757, 5663, 2553, 267, 899, 4835, 15102, 585, 11443, 610, 9023, 269, 1656, 3314, 602, 596, 1810, 1406, 991, 547, 2628, 585, 22285, 338, 543, 1907, 532, 2901, 563, 4517, 1589, 827, 875, 1454, 596, 1522, 4688, 593, 11288, 3790, 952, 596, 666, 10300, 557, 513, 851, 779, 2597, 269, 898, 1522, 711, 1397, 909, 538, 707, 5663, 3790, 855, 621, 786, 4688, 707, 2754, 2724, 563, 3383, 267, 1589, 5402, 827, 3388, 3238, 543, 596, 3580, 581, 2111, 547, 1491, 5413, 540, 3388, 476, 274, 291, 8228, 814, 547, 2709, 543, 1118, 930, 9806, 602, 616, 3274, 711, 2009, 1210, 824, 5663, 3157, 563, 2690, 2417, 1344, 267, 5225, 3643, 8940, 269, 2889, 339, 565, 11274, 16691, 16896, 454, 7476, 547, 17680, 1186, 609, 519, 2104, 12051, 693, 11628, 19007, 630, 1240, 268, 2420, 5147, 1070, 851, 540, 519, 7177, 28358, 999, 1357, 14373, 3126, 269, 19193, 585, 17676, 2221, 563, 32098, 3370, 676, 12333, 7177, 1281, 711, 8209, 2099, 519, 5784, 540, 519, 26323, 540, 20996, 19296, 269, 0, 301, 4899, 2349, 5074, 10060, 281, 8230, 928, 321, 6064, 26111, 3465, 2925, 267, 8230, 928, 321, 6064, 267, 19051, 267, 7330, 2443, 594, 6836, 547, 1413, 621, 909, 267, 855, 594, 666, 1265, 1100, 1344, 630, 514, 513, 13680, 3406, 264, 593, 1018, 6871, 540, 8832, 2349, 5074, 10060, 5810, 616, 3043, 2507, 8117, 689, 1250, 1995, 621, 666, 1406, 581, 1360, 1164, 269, 7324, 5310, 513, 4627, 8536, 32395, 593, 519, 8230, 928, 321, 6064, 26111, 538, 4864, 267, 594, 723, 2938, 476, 274, 2371, 609, 3043, 5810, 267, 585, 513, 2698, 540, 1447, 982, 513, 18797, 5810, 269, 1924, 891, 3043, 5810, 616, 513, 678, 10846, 1256, 585, 606, 2907, 4686, 2030, 899, 2349, 5074, 10060, 269, 590, 3415, 681, 343, 1015, 643, 693, 476, 7785, 7825, 6697, 269, 5358, 7154, 609, 1250, 2688, 5017, 543, 7320, 12381, 269, 6713, 539, 538, 2717, 1551, 543, 11197, 16071, 269, 18869, 476, 1911, 7711, 535, 275, 7711, 476, 272, 270, 8517, 628, 563, 30208, 539, 590, 17139, 584, 281, 8230, 928, 321, 6064, 26111, 3465, 2925, 267, 19051, 267, 7330, 2443, 3933, 1105, 338, 616, 711, 519, 1152, 17984, 547, 581, 6126, 547, 1294, 519, 8832, 2349, 5074, 10060, 538, 16036, 269, 2755, 972, 941, 711, 607, 1082, 13192, 539, 590, 17139, 2720, 607, 3933, 1105, 338, 267, 972, 941, 1869, 1434, 2338, 267, 543, 519, 2338, 786, 2333, 607, 519, 2407, 16036, 2501, 593, 269, 21208, 517, 645, 10384, 693, 476, 13893, 271, 7825, 6697, 269, 5358, 7154, 269, 6713, 539, 538, 2717, 1551, 543, 11197, 16071, 563, 12507, 1105, 19643, 12187, 281, 8230, 928, 321, 6064, 26111, 3465, 2925, 267, 8230, 928, 321, 6064, 267, 19051, 267, 7330, 2443, 2859, 540, 519, 3933, 1105, 338, 1851, 519, 2038, 8832, 2349, 5074, 10060, 593, 519, 8230, 928, 321, 6064, 26111, 269, 589, 1353, 538, 2681, 24716, 269, 21208, 517, 645, 10384, 693, 476, 13893, 271, 7825, 6697, 269, 5358, 7154, 269, 6713, 539, 538, 2717, 1551, 543, 11197, 16071, 563, 12507, 1105, 19643, 12187, 593, 8832, 2349, 5074, 10060, 281, 8230, 928, 321, 6064, 26111, 3465, 2925, 267, 8230, 928, 321, 6064, 267, 19051, 267, 7330, 2443, 634, 1101, 2038, 18742, 540, 8832, 2349, 5074, 10060, 616, 1175, 6679, 1318, 1631, 269, 898, 5654, 899, 513, 1360, 1434, 1032, 585, 2349, 5074, 10060, 593, 519, 8230, 928, 321, 6064, 26111, 607, 972, 10053, 6763, 540, 2371, 827, 547, 16036, 936, 2647, 2127, 540, 519, 23617, 269, 1325, 2819, 519, 7786, 616, 11018, 269, 594, 4718, 811, 3933, 1105, 338, 982, 594, 723, 2938, 538, 1896, 1296, 19108, 267, 1256, 538, 1250, 2110, 30382, 998, 835, 3296, 267, 607, 1134, 607, 513, 7008, 540, 13192, 344, 590, 17139, 2720, 543, 8381, 715, 8233, 338, 267, 7366, 540, 645, 18443, 2142, 525, 543, 729, 1186, 267, 543, 930, 1360, 1804, 543, 1360, 10978, 18057, 564, 899, 1919, 269, 634, 3933, 1105, 338, 267, 538, 1880, 267, 616, 4190, 8023, 593, 519, 2349, 5074, 10060, 269, 1280, 1346, 945, 1810, 1406, 917, 267, 2349, 5074, 10060, 568, 513, 12219, 543, 6870, 2249, 2066, 1034, 540, 922, 3140, 2039, 267, 543, 1934, 538, 19051, 269, 634, 8230, 928, 321, 6064, 26111, 616, 7307, 267, 538, 851, 267, 585, 2349, 5074, 10060, 269, 594, 4734, 593, 11728, 585, 513, 3018, 538, 1715, 6792, 543, 594, 4126, 519, 2407, 16036, 568, 1869, 2469, 593, 950, 594, 2132, 269, 2349, 5074, 10060, 543, 519, 7786, 621, 24643, 538, 4864, 2141, 1118, 585, 835, 540, 1250, 29202, 2053, 540, 1032, 593, 519, 26111, 269, 21208, 517, 645, 10384, 693, 476, 29637, 7825, 6697, 269, 5358, 7154, 269, 20128, 1445, 269, 6713, 539, 538, 2717, 1551, 543, 11197, 16071, 563, 298, 26413, 321, 6064, 4446, 27231, 7186, 20271, 3599, 267, 8230, 928, 321, 6064, 267, 19051, 267, 7330, 2443, 594, 1185, 1044, 25922, 538, 519, 7693, 540, 8832, 2349, 5074, 10060, 593, 519, 8230, 928, 321, 6064, 26111, 630, 852, 1634, 267, 1310, 519, 1034, 2487, 2242, 538, 2359, 267, 607, 519, 968, 298, 26413, 321, 6064, 4446, 27231, 7186, 20271, 3599, 14615, 1310, 519, 11311 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 454, 9802, 528, 771, 6312, 3481, 654, 574, 14977, 2401, 547, 2149, 1010, 1762, 9114, 613, 781, 8956, 610, 454, 5353, 2114, 607, 1434, 513, 1747, 607, 1022, 547, 12334, 31473, 2091, 781, 623, 13806, 519, 454, 332, 1787, 15515, 11232, 781, 11164, 4577, 517, 269, 3097, 10673, 2807, 1862, 7069, 3032, 781, 3738, 315, 11519, 1421, 734, 2807, 10086, 1730, 563, 339, 749, 339, 1446, 7381, 2766, 1315, 267, 9041, 907, 1422, 9041, 315, 630, 319, 11519, 2073, 563, 339, 20635, 7381, 8941, 907, 2387, 11519, 11607, 263, 267, 318, 907, 262, 734, 263, 267, 318, 907, 262, 319, 268, 5919, 9538, 0, 763, 5507, 16685, 568, 513, 9649, 7542, 5142, 8868, 8118, 547, 519, 1857, 538, 519, 1032, 476, 1220, 271, 593, 519, 5757, 774, 1868, 267, 5507, 267, 4789, 563, 2005, 3217, 827, 476, 1789, 3764, 547, 2347, 513, 10047, 269, 1879, 27756, 267, 519, 23555, 568, 827, 476, 1428, 7397, 1657, 519, 2666, 269, 2311, 519, 1283, 267, 519, 23555, 568, 476, 13670, 7397, 1657, 519, 2666, 563, 4131, 779, 5581, 513, 6935, 607, 5205, 912, 529, 519, 4463, 540, 519, 23555, 1657, 519, 2666, 693, 942, 4586, 1103, 713, 2013, 519, 4830, 4756, 568, 942, 267, 543, 519, 8200, 4756, 568, 4463, 269, 5637, 616, 10230, 267, 865, 649, 666, 3113, 713, 6935, 563, 763, 6389, 786, 581, 942, 267, 1063, 476, 271, 3764, 543, 476, 1789, 3764, 563, 763, 2039, 786, 581, 2048, 19417, 540, 23555, 1657, 519, 2666, 8730, 543, 786, 723, 2418, 1063, 476, 1428, 543, 476, 13670, 7397, 563, 763, 6935, 786, 581, 281, 630, 5503, 267, 4463, 264, 607, 5205, 912, 4263, 4642, 3764, 267, 519, 23555, 786, 581, 476, 1428, 7397, 1657, 519, 2666, 912, 5226, 6621, 1259, 1472, 281, 476, 278, 269, 276, 3764, 267, 476, 4037, 7397, 630, 327, 2788, 1259, 1063, 476, 1428, 544, 543, 476, 13670, 544, 2187, 295, 2788, 1259, 1472, 281, 476, 1428, 3764, 267, 476, 13670, 7397, 630, 9008, 2187, 16248, 20453, 1259, 1472, 281, 476, 2420, 269, 276, 3764, 267, 476, 4037, 7397, 912, 5472, 519, 1259, 1472, 476, 1789, 3764, 281, 476, 1428, 7397, 1657, 519, 2666, 912, 763, 6935, 630, 5503, 1310, 22576, 267, 4463, 1657, 519, 2666, 264, 2882, 519, 10288, 8424, 454, 4913, 267, 972, 616, 28222, 1082, 2798, 538, 713, 6935, 607, 942, 568, 6024, 1107, 649, 666, 1265, 519, 4463, 540, 513, 18213, 19970, 693, 942, 476, 1015, 3764, 267, 610, 942, 476, 1015, 269, 273, 3764, 267, 610, 476, 1015, 269, 1822, 16573, 3764, 3092, 269, 4475, 519, 4463, 540, 519, 23555, 814, 1044, 7229, 693, 1169, 476, 276, 7643, 563, 763, 2418, 593, 519, 8880, 17887, 2099, 519, 6389, 267, 4586, 763, 2418, 593, 519, 7299, 7852, 2099, 519, 2039, 267, 4586, 763, 23555, 12374, 543, 19380, 4463, 811, 3533, 693, 930, 2053, 543, 811, 7444, 693, 824, 2053, 563, 1103, 519, 1101, 476, 273, 269, 276, 3764, 630, 7474, 1131, 581, 519, 1101, 476, 1789, 4113, 10047, 1070, 621, 12374, 1360, 2370, 4463, 1107, 827, 476, 1015, 544, 563, 27001, 476, 276, 3764, 543, 476, 278, 269, 276, 3764, 621, 12374, 827, 476, 3374, 544, 563, 1103, 519, 1482, 7274, 540, 942, 267, 621, 519, 4463, 2744, 568, 1114, 4470, 593, 1141, 519, 23555, 568, 593, 519, 5858, 563, 1607, 568, 1317, 621, 3217, 519, 1482, 942, 547, 2951, 1472, 3160, 6810, 540, 519, 5858, 1107, 519, 5377, 543, 1283, 540, 519, 5858, 616, 5266, 6366, 543, 865, 1472, 891, 2053, 711, 1454, 4463, 568, 6591, 610, 4503, 269, 634, 2451, 543, 1318, 5011, 616, 14869, 267, 865, 950, 538, 891, 7158, 267, 513, 2603, 540, 4463, 568, 6591, 610, 4503, 3533, 563, 12988, 547, 5149, 476, 276, 5741, 0, 288, 6219, 1031, 547, 1521, 9793, 547, 4049, 1928, 269, 715, 2117, 18352, 616, 899, 17414, 919, 971, 607, 10641, 710, 543, 3009, 710, 267, 855, 616, 711, 1500, 689, 1566, 1756, 269, 1358, 12622, 547, 23776, 13364, 538, 519, 3844, 8401, 1062, 269, 715, 2117, 18352, 616, 1631, 1572, 17414, 6950, 563, 301, 1815, 15727, 568, 3989, 607, 20902, 4965, 538, 6211, 2534, 1813, 547, 519, 4527, 540, 6757, 656, 6675, 1459, 538, 519, 11248, 563, 6097, 547, 6757, 1108, 267, 27640, 2670, 568, 513, 17219, 4611, 689, 6464, 1997, 908, 609, 543, 27200, 519, 20188, 21536, 9707, 540, 17011, 563, 301, 2117, 18352, 616, 9286, 883, 1312, 1875, 1790, 6897, 263, 5035, 268, 272, 264, 610, 8701, 630, 5035, 268, 273, 264, 7135, 8160, 20047, 540, 1312, 5049, 262, 7135, 616, 20188, 30320, 563, 12218, 476, 273, 7135, 2270, 3334, 602, 1683, 930, 5279, 3892, 9217, 267, 324, 269, 1325, 760, 1002, 545, 543, 23599, 993, 1149, 267, 6491, 549, 541, 558, 18267, 267, 543, 4568, 338, 30155, 763, 620, 760, 1002, 545, 30691, 630, 322, 276, 998, 524, 279, 264, 616, 1806, 540, 3532, 1362, 476, 272, 27640, 18352, 267, 6466, 19844, 568, 606, 1383, 540, 513, 1362, 476, 273, 27640, 5328, 563, 16920, 16670, 540, 519, 3075, 15652, 547, 519, 8701, 6954, 4295, 540, 519, 9245, 630, 12218, 476, 272, 27640, 18352, 264, 610, 547, 581, 7856, 538, 519, 8701, 543, 1875, 335, 6897, 2694, 540, 519, 9245, 630, 12218, 476, 273, 27640, 18352, 264, 2242, 519, 5714, 640, 540, 519, 17011, 563, 1607, 1198, 8332, 2478, 519, 2702, 540, 5946, 543, 824, 3334, 540, 519, 9245, 547, 1599, 5265, 267, 3056, 547, 1114, 2010, 540, 27640, 2670, 454, 763, 3844, 8401, 1062, 568, 519, 6305, 3077, 540, 3114, 27640, 2670, 543, 2589, 7620, 1331, 771, 528, 1304, 566, 267, 552, 25045, 18319, 267, 575, 1342, 1465, 267, 543, 3356, 547, 17499, 1145, 267, 5996, 13955, 267, 543, 2669, 563, 2171, 616, 3384, 519, 3872, 1543, 585, 631, 31892, 543, 811, 538, 519, 2104, 269, 1280, 2542, 519, 12498, 1543, 1246, 1257, 14142, 12500, 714, 5225, 24049, 547, 721, 593, 1312, 5816, 543, 3896, 269, 16731, 1586, 454, 2171, 616, 7683, 5355, 6000, 543, 3843, 547, 2285, 519, 1655, 1543, 547, 938, 3755, 1169, 1554, 269, 2659, 23190, 949, 948, 721, 547, 1020, 519, 1543, 543, 5512, 721, 547, 4196, 596, 609, 519, 5767, 543, 519, 9510, 540, 519, 5863, 1158, 5013, 543, 3872, 1543, 563, 303, 4041, 17955, 667, 2177, 12442, 8946, 4629, 308, 21203, 5990, 674, 5357, 299, 8582, 5058, 700, 2562, 298, 281, 4179, 2517, 337, 345, 335, 269, 1470, 15828, 270, 3667, 14142, 18484, 725, 0, 288, 2487, 695, 3612, 540, 17962, 5779, 689, 16157, 547, 3567, 814, 1044, 15653, 1317, 621, 729, 1336, 547, 2270, 5739, 2157, 540, 13851, 267, 1519, 620, 323, 12541, 267, 1019, 15505, 12541, 543, 669, 331, 867, 2033, 267, 799, 1500, 519, 1295, 651, 17962, 5779, 5667, 340, 3386, 585, 1480, 4616, 269, 3567, 779, 12080, 540, 2657, 267, 8534, 543, 28054, 5342, 519, 4255, 267, 3877, 540, 799, 666, 581, 1336, 1934, 269, 1358, 5227, 602, 519, 2472, 267, 29633, 676, 5696, 21417, 323, 16867, 8330, 14442, 27055, 817, 523, 589, 13478, 543, 3733, 330, 30503, 755, 670, 1998, 335, 1238, 330, 614, 941, 8120, 563, 763, 12006, 6464, 616, 2219, 547, 1404, 513, 1909, 538, 930, 4332, 12889, 267, 789, 723, 849, 1044, 5532, 547, 14715, 3441, 543, 930, 11871, 269, 898, 568, 1034, 2693, 602, 789, 9411, 519, 5836, 607, 6694, 2196, 11325, 799, 814, 1336, 922, 1259, 883, 519, 1979, 739, 4450, 936, 942, 267, 2094, 519, 6464, 723, 1631, 1044, 17049, 585, 946, 538, 13851, 1317, 540, 741, 14686, 2427, 2360, 563, 763, 7025, 27148, 10837, 543, 519, 10960, 28054, 4659, 941, 3297, 519, 5305, 540, 519, 2481, 940, 6054, 602, 723, 4547, 16157, 779, 30940, 627, 2718, 2853, 883, 519, 30425, 563, 763, 10960, 28054, 4659, 630, 288, 310, 296, 1070, 8547, 538, 476, 4198, 272, 267, 568, 513, 1875, 17416, 13539, 799, 1568, 2182, 547, 2569, 3662, 7092, 3361, 676, 1480, 2534, 267, 1247, 634, 7025, 27148, 10837, 630, 292, 8656, 264, 568, 513, 6115, 9823, 2861, 25944, 799, 11044, 1996, 513, 2647, 2039, 540, 2825, 10963, 563, 763, 4139, 1733, 2718, 8189, 630, 296, 310, 290, 994, 2005, 814, 1044, 476, 3953, 1296, 2094, 5010, 17962, 10122, 729, 4625, 7979, 31090, 676, 519, 594, 310, 290, 267, 538, 513, 8357, 663, 636, 799, 3576, 1198, 607, 540, 476, 2735, 277, 269, 634, 14097, 10039, 547, 782, 2477, 602, 616, 2818, 540, 519, 594, 310, 290, 269, 3567, 543, 16157, 616, 2818, 269, 1717, 16157, 25778, 3022, 513, 6101, 1843, 542, 547, 519, 7333, 593, 5010, 627, 2718, 543, 759, 25390, 519, 2259, 538, 476, 1960, 274, 269, 1358, 1631, 21138, 741, 1378, 627, 2718, 9889, 553, 267, 799, 616, 711, 9516, 676, 519, 594, 310, 290, 563, 301, 528, 3118, 3226, 9072, 519, 3687, 651, 1733, 1446, 267, 799, 568, 17049, 896, 634, 13482, 593, 11780, 538, 29510, 15661, 630, 290, 3951, 2464, 1040, 2755, 519, 2249, 568, 711, 13155, 621, 568, 2219, 602, 972, 568, 991, 547, 2149, 873, 689, 627, 2718, 267, 799, 814, 3361, 513, 5458, 7771, 538, 2551, 2338, 538, 2487, 1296, 563, 29467, 779, 6161, 936, 2436, 519, 6968, 568, 4264, 2223, 3081, 29366, 31473, 267, 2212, 540, 519, 661, 8656, 779, 12084, 5859, 269, 16157, 3096, 519, 1875, 15134, 11139, 3138, 2684, 1961, 547, 31274, 602, 519, 6968, 568, 8197, 4264, 267, 8366, 532, 3294, 606, 5993, 6952, 844, 7974, 540, 936, 476, 1911, 271, 16385, 563, 1607, 2487, 695, 3612, 568, 711, 519, 1101, 547, 723, 8452, 689, 16157, 9870, 4145, 269, 5525, 676, 519, 2197, 779, 1378, 2817, 4659, 540, 12594, 543, 1530, 2378, 797, 3194, 814, 4080, 24648, 958, 1164, 2157, 540, 5214, 17694, 267, 2523, 1019, 2135, 1231, 543, 4874, 18608, 3990, 536, 760, 1156, 2643, 269, 1452, 941, 20114, 538, 17962, 3282, 29893, 14475, 585, 519, 6469, 2344, 563, 8601, 9991, 1857, 1489, 267, 543, 3486, 30891, 267, 519, 21785, 2229, 4667, 5462, 547, 5818, 6455, 540, 17962, 2472, 267, 1312, 29143, 1227, 543, 18368, 269, 1358, 616, 13564, 2358, 1382, 267, 543, 3168, 585, 1007, 2081, 547, 2344, 540, 1007, 17962, 2472, 269, 11531, 267, 519, 32217, 296, 543, 661, 8656, 616, 11319, 585, 873, 547, 3398, 519, 3486, 536, 753, 543, 3247, 10122, 20749, 10122, 16385, 2899, 543, 585, 782, 563, 1103, 476, 1001, 275, 267, 21785, 627, 531, 619, 7166, 513, 7372, 476, 278, 3607, 3687, 651, 1733, 2297, 267, 799, 568, 811, 982, 538, 1022, 1032, 2094, 789, 1219, 1221, 519, 4139, 14097, 538, 476, 1960, 274, 269, 476, 9262, 272, 19726, 540, 17962, 5779, 941, 6592, 269, 19759, 569, 593, 476, 276, 628, 4728, 476, 1001, 276, 621, 729, 9307, 676, 519, 10579, 540, 30656, 602, 1582, 22433, 11343, 844, 7974, 1131, 2611, 24240, 713, 1032, 267, 513, 1847, 799, 814, 606, 13499, 519, 13431, 293, 563, 763, 2229, 2094, 476, 1960, 273, 814, 6170, 811, 982, 2475, 1269, 275, 269, 280, 2929, 593, 1857, 1344, 267, 1857, 1894, 267, 543, 25211, 532, 11044, 547, 6095, 1676, 1489, 585, 922, 627, 2718, 543, 13021, 10122, 6080, 267, 2687, 547, 519, 1867, 269, 769, 1840, 267, 2229, 24307, 585, 519, 627, 2718, 2872, 723, 1226, 6817, 3592, 3368, 540, 519, 14407, 1871, 540, 782, 17962, 5779, 2244, 902, 1500, 998, 519, 681, 2378, 7416, 25419, 564, 267, 519, 21785, 17384, 5443, 779, 19833, 25944, 269, 1107, 13431, 293, 593, 1733, 2718, 538, 16157, 454, 7628, 519, 476, 1220, 279, 268, 6021, 4005, 267, 519, 5545, 627, 2718, 2872, 2877, 2475, 1269, 1321, 2929, 538, 27710, 9707, 2724, 1175, 547, 2736, 1256, 269, 15788, 267, 5545, 24307, 585, 627, 2718, 2179, 547, 2475, 1269, 13932, 2929, 2094, 476, 2735, 279, 269, 1107, 13431, 293, 593, 1733, 2718, 538, 3567, 454, 763, 1857, 14031, 585, 17962, 5779, 568, 19394, 5488, 982, 2479, 267, 1256, 538, 3567, 799, 814, 12926, 1044, 519, 1034, 8789, 2518, 7082, 563, 2108, 297, 3253, 814, 2141, 1044, 519, 1292, 7082, 540, 17962, 2472, 2223, 3081, 31473, 31422, 2005, 779, 711, 6752, 762, 693, 782, 269, 1703, 779, 606, 4587, 5108, 538, 3567, 602, 723, 513, 19911, 28101, 827, 4189, 621, 267, 855, 621, 779, 711, 538, 1022, 1259, 513, 20013, 2732, 2223, 1352, 3081, 563, 2026, 1612, 13454, 673, 607, 621, 4992, 267, 519, 13851, 1223, 581, 513, 1899, 540, 20237, 585, 519, 16385, 269, 31473, 19595, 721, 602, 713, 568, 711, 1945, 547, 581, 3226, 6126, 827, 281, 968 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 534, 1493, 3615, 269, 595, 1195, 1774, 267, 681, 13273, 267, 30064, 267, 543, 31594, 616, 930, 1455, 19183, 540, 8945, 3122, 14326, 2066, 1114, 17174, 6082, 780, 4322, 5515, 1419, 4497, 538, 6411, 540, 524, 7342, 267, 13587, 527, 267, 610, 9644, 267, 27200, 3964, 8155, 543, 1008, 3183, 2565, 3206, 827, 6848, 3652, 543, 6788, 269, 1717, 267, 741, 3527, 10355, 2887, 14553, 896, 1412, 16591, 262, 610, 1412, 21112, 10086, 3079, 13031, 5837, 10701, 340, 885, 7915, 538, 1272, 3294, 269, 769, 9759, 267, 8945, 3122, 14326, 7618, 721, 540, 938, 1378, 2887, 2225, 543, 1761, 585, 2208, 267, 4101, 6378, 11994, 543, 5807, 13916, 780, 24292, 8033, 8462, 1299, 26504, 692, 8601, 5553, 540, 17091, 267, 4168, 1436, 267, 543, 7142, 21939, 267, 2984, 540, 8945, 3122, 14326, 6414, 1851, 7087, 2950, 267, 11744, 741, 30840, 543, 10083, 269, 1280, 3236, 267, 5103, 5313, 27756, 1153, 4507, 6322, 693, 16701, 21899, 7111, 4654, 543, 4529, 267, 10529, 540, 891, 4654, 3136, 547, 1780, 1524, 2757, 8941, 267, 7551, 8497, 2189, 1702, 1949, 543, 17923, 2146, 7554, 780, 11101, 267, 2413, 7087, 4589, 29379, 543, 5368, 614, 13133, 8945, 3122, 6386, 538, 3332, 267, 4670, 267, 2575, 267, 543, 3308, 6575, 267, 7682, 532, 16285, 936, 741, 2686, 6561, 543, 13994, 6819, 2833, 540, 19525, 267, 29563, 267, 543, 4187, 269, 1635, 3257, 865, 267, 789, 2226, 4296, 547, 18577, 7326, 1247, 9691, 2502, 609, 1459, 6377, 2152, 780, 20685, 673, 15753, 3311, 1299, 5081, 13926, 7600, 1664, 692, 19741, 9913, 267, 8945, 3122, 8941, 4163, 1898, 10752, 3823, 5683, 2932, 267, 1514, 5126, 267, 543, 2825, 19642, 269, 1280, 1383, 267, 1323, 880, 2088, 23042, 2984, 827, 15089, 629, 9926, 14833, 11168, 25262, 640, 543, 3666, 267, 9963, 1996, 26846, 267, 818, 5766, 766, 267, 543, 14226, 269, 6270, 4245, 2611, 4143, 2221, 9624, 2518, 16839, 971, 607, 2916, 1689, 267, 5763, 8635, 267, 543, 23786, 7526, 780, 28274, 891, 3504, 4030, 547, 4207, 2042, 666, 8300, 3209, 3435, 12082, 538, 18497, 2418, 2864, 982, 1367, 2744, 269, 11569, 267, 9301, 519, 8945, 3122, 6891, 1522, 5000, 721, 547, 2243, 8789, 26336, 543, 3343, 8925, 1759, 593, 8994, 5351, 267, 6940, 267, 543, 10103, 609, 2470, 780, 303, 29176, 267, 19004, 267, 543, 19822, 5004, 692, 19352, 532, 593, 519, 4505, 2546, 1349, 7234, 834, 26605, 4762, 4288, 2437, 1577, 721, 2015, 875, 8945, 3122, 7954, 1223, 8774, 1769, 593, 9583, 19450, 2621, 899, 22681, 6285, 610, 2883, 15835, 23957, 269, 1403, 649, 2070, 971, 20825, 998, 519, 7828, 540, 519, 8945, 3122, 18840, 6943, 267, 789, 949, 2099, 8942, 547, 3186, 8494, 1125, 4540, 9753, 267, 16616, 3834, 4531, 529, 625, 267, 610, 4161, 30566, 545, 3889, 780, 2690, 3236, 267, 7311, 713, 5133, 547, 519, 21987, 540, 476, 280, 270, 1556, 8761, 3646, 547, 19597, 622, 1379, 267, 13861, 19728, 267, 543, 1852, 2200, 593, 513, 2518, 4336, 269, 8616, 267, 621, 849, 10741, 2230, 585, 8086, 593, 5817, 3123, 543, 4539, 267, 18136, 721, 547, 15260, 612, 938, 7104, 14422, 543, 28433, 811, 12581, 6114, 547, 16839, 780, 6962, 692, 18698, 8945, 3122, 14326, 543, 9423, 1369, 519, 4984, 540, 7087, 9082, 540, 25725, 6816, 3091, 3407, 4030, 883, 2085, 6040, 7326, 602, 5170, 547, 3337, 4207, 27964, 1472, 2528, 267, 7881, 267, 6214, 267, 543, 9297, 269, 1306, 649, 20920, 609, 1950, 2591, 6849, 8103, 2221, 267, 2502, 609, 891, 6386, 7512, 3860, 1966, 9010, 267, 1582, 18221, 267, 543, 17604, 267, 22348, 721, 540, 938, 3838, 16426, 543, 22524, 11163, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 347, 18853, 5456, 2894, 302, 4785, 18027, 8008, 4041, 10790, 32578, 590, 2894, 10345, 5508, 476, 26605, 12164, 293, 4785, 12778, 2008, 300, 13585, 269, 4989, 476, 1789, 267, 476, 1220, 278, 269, 4595, 519, 968, 26605, 892, 5734, 593, 519, 3828, 514, 570, 10183, 540, 1715, 3840, 4975, 267, 1141, 616, 519, 7087, 1004, 540, 25725, 6816, 17501, 883, 519, 2797, 543, 2804, 6521, 602, 568, 2921, 1747, 5001, 286, 1284, 723, 519, 2200, 602, 16764, 6499, 269, 16393, 476, 26605, 581, 513, 20982, 4640, 547, 6861, 25725, 6816, 607, 513, 25113, 610, 2922, 10093, 711, 1152, 585, 1004, 855, 585, 2724, 888, 9617, 1991, 547, 476, 26605, 519, 968, 292, 1755, 892, 9304, 729, 2469, 547, 581, 9250, 1369, 2395, 269, 898, 12651, 27421, 607, 547, 945, 1705, 476, 26605, 269, 9129, 5224, 519, 16402, 1223, 723, 1821, 2728, 539, 519, 772, 2529, 269, 13362, 1247, 9870, 519, 1871, 540, 519, 16402, 9304, 563, 5278, 821, 2899, 1767, 602, 547, 1847, 707, 16786, 6619, 267, 596, 723, 547, 1711, 513, 6433, 269, 2991, 476, 26605, 267, 519, 2883, 3854, 540, 519, 1158, 729, 17146, 689, 1715, 3840, 4975, 547, 5507, 269, 5507, 729, 2907, 1305, 909, 547, 1491, 936, 12948, 593, 519, 12209, 540, 713, 1379, 6521, 269, 17859, 540, 875, 476, 26605, 5949, 267, 602, 729, 519, 1267, 563, 763, 4950, 7683, 2982, 519, 9552, 540, 519, 3828, 514, 19331, 324, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 307, 4459, 3122, 9454, 1080, 543, 27884, 257, 607, 851, 540, 834, 32628, 1315, 7087, 24447, 540, 25725, 6816, 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, 2252, 707, 2915, 568, 7680, 5835, 17371, 344, 12154, 527, 610, 1022, 824, 2589, 267, 5225, 5077, 609, 513, 13931, 16943, 5612, 780, 1262, 3721, 476, 272, 281, 13979, 2659, 13928, 4373, 2414, 2253, 23235, 5835, 17371, 344, 12154, 527, 538, 5243, 267, 596, 786, 991, 547, 1935, 707, 24566, 3659, 269, 3399, 676, 7555, 909, 689, 1141, 596, 616, 9361, 630, 604, 596, 2811, 9361, 264, 543, 2921, 1507, 3268, 2509, 707, 2915, 781, 4087, 269, 5269, 2386, 547, 1847, 7444, 543, 9350, 569, 547, 2057, 1376, 1782, 707, 4620, 780, 2026, 596, 1205, 6251, 547, 707, 2915, 267, 7747, 741, 1560, 1893, 269, 6733, 693, 741, 14302, 267, 11132, 7215, 267, 543, 2766, 5322, 269, 589, 2635, 2915, 2356, 6763, 20005, 609, 922, 10772, 829, 330, 539, 909, 543, 2766, 530, 698, 3101, 269, 1717, 267, 952, 707, 2915, 5526, 29723, 1173, 545, 267, 5323, 4878, 31991, 267, 610, 512, 31902, 922, 2766, 1063, 922, 7953, 267, 621, 949, 5815, 9636, 610, 11605, 780, 5629, 596, 3914, 707, 2915, 267, 9900, 1289, 856, 741, 2012, 547, 1205, 741, 3007, 269, 2422, 513, 2571, 267, 9543, 3159, 267, 6031, 1945, 899, 267, 834, 20756, 1496, 27594, 781, 2012, 3910, 2097, 1934, 10590, 3680, 6727, 10978, 21089, 610, 10792, 12981, 267, 799, 1522, 29057, 873, 2417, 780, 2252, 707, 2915, 20781, 547, 707, 1289, 267, 789, 786, 2693, 1413, 909, 693, 596, 610, 1491, 513, 1906, 3268, 2509, 596, 269, 6875, 4063, 540, 741, 32376, 282, 798, 789, 2408, 11931, 593, 741, 3952, 267, 610, 616, 789, 588, 22824, 286, 27297, 2436, 789, 2879, 858, 1472, 610, 1397, 1719, 538, 741, 10450, 780, 1262, 3721, 476, 273, 281, 28018, 519, 966, 558, 7978, 4373, 3086, 602, 596, 4312, 14059, 707, 2915, 267, 8524, 519, 1858, 1472, 873, 585, 4191, 540, 13481, 269, 6733, 585, 30077, 956, 540, 5277, 267, 25098, 540, 1426, 267, 610, 17371, 6438, 6878, 593, 519, 6989, 610, 2666, 269, 9796, 2673, 3007, 547, 519, 2681, 267, 11007, 267, 543, 9329, 540, 519, 12154, 7978, 780, 312, 3641, 17371, 344, 12154, 527, 3335, 6920, 9667, 2152, 267, 971, 607, 16063, 13347, 267, 20633, 4345, 267, 610, 6797, 2042, 269, 634, 4527, 540, 1973, 267, 22024, 267, 610, 3768, 580, 6479, 1426, 5536, 538, 519, 12154, 7978, 1223, 2303, 811, 4049, 2175, 780, 12648, 2790, 4967, 610, 946, 513, 6049, 813, 547, 2594, 7422, 827, 1384, 265, 7822, 281, 1772, 621, 6505, 5835, 267, 12779, 5835, 267, 3039, 880, 3917, 3641, 267, 610, 1776, 12094, 888, 265, 3117, 29548, 281, 1772, 621, 1216, 344, 267, 5394, 267, 669, 684, 5652, 267, 610, 8389, 20321, 888, 265, 3911, 749, 281, 6496, 621, 723, 606, 15755, 267, 17285, 267, 610, 11877, 17627, 2496, 6826, 18762, 950, 7829, 610, 15700, 519, 12154, 7978, 267, 607, 4551, 543, 8290, 666, 3262, 998, 3346, 269, 23203, 25551, 17309, 610, 11547, 707, 3946, 8499, 26063, 780, 1262, 3721, 476, 274, 281, 18554, 2659, 13928, 781, 10263, 4373, 25332, 2925, 707, 2915, 781, 2623, 936, 519, 1985, 5662, 610, 865, 269, 13772, 585, 2242, 538, 14031, 267, 1216, 6981, 267, 1648, 2157, 267, 543, 22454, 2298, 269, 8074, 1022, 8966, 13047, 3074, 267, 627, 1456, 267, 610, 533, 13589, 780, 9989, 707, 2915, 1384, 265, 4676, 2224, 1426, 610, 13000, 888, 265, 8058, 2799, 19818, 610, 4235, 23494, 888, 265, 2561, 792, 29723, 1173, 545, 267, 1964, 1652, 267, 610, 989, 18469, 888, 265, 18224, 9402, 1219, 1815, 566, 6208, 630, 324, 3052, 1421, 13165, 267, 19228, 25145, 265, 1733, 710, 267, 627, 574, 704, 267, 610, 13626, 6414, 1836, 2496, 4322, 8965, 10291, 666, 948, 2697, 1761, 5817, 3123, 540, 519, 5835, 17371, 344, 12154, 527, 780, 1262, 3721, 476, 275, 281, 6744, 966, 1388, 20050, 4373, 9202, 267, 2708, 707, 2915, 781, 4105, 4191, 547, 3313, 2949, 1072, 4567, 269, 1411, 3513, 991, 547, 1685, 930, 2241, 7403, 1210, 2596, 2645, 1384, 265, 2878, 307, 17687, 4995, 15579, 513, 26282, 896, 707, 2915, 781, 11469, 610, 2282, 741, 6439, 636, 630, 5976, 19149, 656, 1040, 16680, 519, 2542, 563, 453, 266, 16453, 2039, 281, 476, 1911, 13790, 910, 476, 9083, 269, 276, 13790, 630, 4391, 9180, 910, 476, 4375, 9180, 994, 265, 2878, 303, 592, 572, 270, 29587, 15580, 4995, 9255, 1079, 11263, 593, 2901, 2427, 540, 707, 2915, 781, 9221, 267, 1175, 3297, 519, 23969, 4745, 269, 4032, 20054, 829, 8792, 563, 453, 266, 16453, 2039, 281, 476, 3583, 268, 6344, 536, 10975, 454, 265, 2878, 4910, 21732, 15580, 4995, 4032, 24967, 829, 8792, 1247, 11287, 707, 2915, 781, 9221, 4473, 543, 2887, 563, 453, 266, 16453, 2039, 281, 476, 1015, 268, 1789, 24967, 26553, 692, 13434, 867, 891, 2418, 2059, 609, 707, 3105, 7422, 547, 2671, 609, 707, 16943, 2663, 780, 1262, 3721, 476, 276, 281, 13693, 513, 16076, 514, 4115, 4373, 2005, 781, 1898, 547, 3343, 3318, 6351, 689, 513, 13931, 16943, 547, 13209, 543, 1521, 707, 2915, 781, 2783, 8308, 269, 21480, 606, 13393, 6789, 4338, 267, 3246, 607, 1454, 1469, 607, 2009, 827, 707, 2915, 781, 2589, 543, 2564, 1686, 780, 2691, 6340, 609, 519, 17022, 267, 5693, 6655, 707, 7422, 267, 1519, 1384, 265, 13517, 540, 519, 12154, 7978, 630, 10233, 267, 11007, 267, 9329, 994, 265, 15448, 538, 14031, 267, 1216, 6981, 267, 543, 22454, 2298, 454, 265, 19884, 2242, 630, 3369, 1456, 267, 533, 5217, 267, 3092, 8094, 265, 7102, 6527, 610, 9360, 2016, 5063, 454, 265, 26678, 2242, 610, 2487, 6980, 10057, 692, 763, 16943, 786, 2932, 513, 9488, 6514, 267, 7654, 7900, 10368, 4255, 630, 29188, 960, 267, 9196, 2090, 1070, 543, 1865, 2126, 3681, 1759, 593, 741, 4681, 780, 8855, 267, 5401, 18915, 1416, 568, 2629, 547, 2232, 1761, 1272, 18446, 2175, 1644, 547, 5835, 17371, 344, 12154, 527, 538, 5243, 780, 21206, 9669, 1384, 265, 5901, 513, 2973, 1604, 281, 17115, 21149, 7252, 543, 2127, 1141, 707, 2915, 22939, 942, 547, 2061, 9190, 6771, 563, 265, 3629, 4195, 1216, 281, 3550, 1569, 547, 7899, 540, 4195, 267, 2973, 6704, 1216, 547, 3251, 19872, 563, 265, 28509, 2566, 281, 3687, 4476, 21500, 267, 2226, 6296, 2238, 267, 543, 2709, 3929, 1489, 1282, 6051, 780, 3528, 1739, 891, 3268, 543, 17874, 609, 513, 16943, 267, 596, 3513, 581, 1732, 9280, 547, 1174, 543, 2232, 707, 2915, 781, 5835, 17371, 344, 12154, 527, 3390, 3927, 269, 11408, 4225, 707, 4620, 781, 1134, 5630, 543, 3106, 1657, 782, 3116, 269, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 28536, 846, 14117, 674, 334, 18081, 966 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 4067, 815, 3403, 2891, 303, 548, 553, 4283, 707, 2012, 5602, 341, 578, 601, 18045, 815, 476, 271, 692, 1721, 1775, 538, 2012, 912, 825, 952, 1775, 538, 834, 2801, 328, 537, 20067, 296, 5495, 13426, 1038, 20262, 18045, 6834, 476, 272, 692, 2745, 2891, 11073, 540, 15079, 5022, 267, 15079, 814, 15079, 24008, 2668, 8971, 12759, 28442, 1070, 2012, 267, 20262, 18045, 264, 9239, 0, 258, 9046, 476, 272, 281, 715, 327, 777, 2138, 1554, 865, 642, 320, 17646, 327, 959, 2426, 10822, 327, 7249, 524, 7699, 524, 659, 1554, 865, 642, 7699, 562, 327, 777, 8528, 258, 562, 815, 703, 9272, 2891, 301, 327, 777, 865, 943, 534, 8913, 281, 27363, 258, 10209, 815, 476, 271, 454, 258, 546, 338, 815, 29129, 258, 585, 642, 538, 2039, 3799, 2187, 258, 672, 865, 815, 3403, 2891, 333, 327, 777, 865, 281, 5602, 258, 672, 546, 338, 6910, 263, 810, 994, 258, 1820, 263, 1091, 2020, 258, 1948, 1820, 4433, 636, 263, 1091, 11723, 258, 585, 642, 538, 546, 338, 912, 258, 672, 10209, 815, 10209, 1341, 642, 454, 258, 1820, 3488, 339, 784, 3288, 281, 3299, 10209, 264, 672, 19638, 0, 258, 3503, 513, 5124, 1599, 602, 14405, 513, 4009, 267, 3957, 2721, 5334, 13645, 267, 3217, 476, 273, 7440, 281, 3259, 543, 2681, 267, 1141, 3259, 568, 519, 3259, 540, 922, 2427, 543, 2681, 568, 519, 2681, 540, 922, 3808, 630, 1467, 2681, 2020, 5814, 14854, 454, 3698, 2721, 5334, 13645, 10857, 2654, 267, 10233, 337, 2187, 825, 2681, 263, 10233, 337, 994, 825, 585, 1775, 538, 2039, 263, 275, 2187, 1038, 4464, 10857, 2654, 994, 1038, 2451, 263, 3445, 264, 0, 18851, 1477, 13678, 921, 5276, 9695, 281, 21506, 344, 815, 536, 263, 271, 264, 1341, 536, 263, 272, 12684, 343, 263, 272, 3418, 3286, 899, 519, 3830, 585, 513, 9386, 586, 815, 544, 343, 1341, 536, 1477, 3286, 1832, 538, 2247, 799, 568, 519, 8200, 270, 785, 8817, 4632, 1477, 18851, 5897, 258, 14140, 649, 3513, 840, 3491, 947, 519, 1239, 1175, 899, 649, 1705, 1354, 5897, 258, 7383, 532, 519, 8021, 1477, 5814, 11885, 607, 5286, 1477, 5814, 21267, 28272, 607, 12301, 1477, 5814, 21795, 607, 19073, 5897, 258, 7383, 532, 519, 10471, 1477, 323, 21648, 564, 815, 19073, 18667, 32269, 3488, 21946, 776, 318, 10574, 27406, 20298, 311, 815, 10471, 269, 559, 665, 18020, 32473, 272, 4940, 11161, 1477, 344, 815, 10471, 269, 559, 665, 18020, 476, 272, 4940, 11161, 5897, 258, 590, 5902, 1154, 519, 10471, 883, 519, 9751, 1305, 543, 4530, 1305, 1477, 5228, 28189, 6230, 617, 601, 26000, 3005, 1104, 5721, 15305, 5334, 5902, 1477, 311, 17601, 267, 2473, 15305, 267, 586, 17601, 267, 586, 15305, 815, 5721, 15305, 5334, 5902, 11583, 267, 586, 267, 1449, 15481, 815, 476, 272, 270, 274, 267, 4351, 26077, 815, 476, 271, 10142, 258, 3171, 1155, 2480, 2718, 786, 581, 3144, 1416, 540, 676, 519, 5399, 649, 2811, 1210, 2630, 5897, 5228, 28189, 269, 15035, 31200, 1104, 12430, 8802, 1833, 5897, 258, 22056, 606, 1843, 689, 519, 12430, 8802, 1833, 1362, 1477, 2958, 31395, 815, 12430, 8802, 1833, 31476, 258, 7257, 543, 2981, 519, 1239, 630, 339, 2586, 1416, 540, 676, 519, 12430, 8802, 1833, 1362, 3418, 2958, 31395, 32265, 11583, 17601, 267, 586, 17601, 10142, 258, 335, 9438, 532, 519, 1449, 1305, 2164, 630, 933, 2811, 2870, 513, 6152, 540, 10567, 23269, 3418, 258, 10472, 568, 1141, 621, 782, 2501, 1927, 547, 3589, 23269, 585, 519, 5520, 267, 1310, 713, 568, 1175, 3308, 1944, 519, 2164, 547, 1205, 513, 1732, 17945, 593, 873, 1477, 344, 28177, 815, 1036, 31395, 4877, 9438, 31912, 272, 269, 276, 14963, 10142, 258, 6665, 783, 1944, 519, 2866, 1305, 1210, 519, 21267, 28272, 607, 12301, 1477, 10823, 31892, 2660, 11583, 17601, 267, 586, 17601, 267, 2681, 8782, 13582, 20298, 10823, 31892, 2660, 11583, 15305, 267, 586, 28177, 267, 2681, 815, 1412, 1042, 262, 10142, 258, 10823, 19502, 2306, 630, 520, 2547, 835, 540, 621, 781, 3252, 264, 513, 4396, 1899, 1477, 258, 810, 621, 781, 12301, 19502, 3488, 343, 10974, 12887, 344, 10974, 3299, 824, 8631, 3418, 10823, 19502, 11583, 17601, 267, 1036, 31395, 4877, 9438, 11583, 17601, 1070, 2681, 815, 1412, 19990, 20298, 10823, 26644, 3488, 21946, 776, 5288, 15232, 630, 32086, 1305, 264, 20298, 10823, 11859, 16932, 3488, 312, 8986, 540, 15232, 20298, 10823, 269, 29786, 3488, 21946, 776, 20298, 258, 10823, 20481, 19752, 713, 568, 519, 1439, 540, 519, 3113, 543, 649, 1616, 547, 4729, 270, 19651, 621, 269, 898, 781, 2556, 609, 4573, 2118, 11708, 1477, 10823, 20481, 31476, 258, 10439, 2358, 519, 4530, 1305, 2164, 267, 524, 568, 2681, 1477, 10823, 31892, 2660, 11583, 15305, 267, 586, 15305, 267, 524, 815, 1412, 13582, 3299, 5658, 518, 8782, 317, 20298, 10823, 31892, 2660, 11583, 15305, 11971, 28177, 267, 524, 815, 1412, 1042, 3299, 5658, 518, 8782, 317, 20298, 10823, 19502, 11583, 17601, 267, 1036, 31395, 4877, 9438, 11583, 17601, 1070, 2681, 815, 1412, 19990, 20298, 10823, 26644, 3488, 21946, 776, 5288, 15232, 630, 14818, 1305, 264, 20298, 10823, 11859, 16932, 3488, 312, 8986, 540, 15232, 20298, 10823, 269, 29786, 3488, 21946, 776, 20298, 10823, 20481, 14052, 5897, 24653, 0, 5814, 4351, 692, 258, 19243, 281, 476, 1626, 454, 16482, 2745, 263, 12690, 20120, 9792, 263, 1015, 267, 736, 11723, 343, 815, 18358, 320, 3299, 1412, 321, 3299, 1412, 322, 3299, 1412, 323, 3299, 1412, 324, 3299, 1412, 325, 3299, 1412, 326, 262, 6540, 258, 5192, 4351, 3903, 454, 2745, 263, 12690, 26716, 4069, 3287, 11723, 1598, 815, 1412, 31435, 1158, 9226, 649, 616, 547, 1831, 4966, 538, 9226, 7055, 6919, 815, 476, 1193, 21858, 3488, 30386, 2745, 263, 12690, 26716, 4069, 263, 6919, 11723, 258, 1744, 28984, 1535, 454, 12690, 11075, 28984, 3287, 2020, 258, 7179, 519, 695, 4428, 1194, 1535, 454, 2745, 3287, 2020, 258, 7179, 4351, 3693, 454, 2745, 263, 12690, 20179, 28829, 0, 3698, 26250, 28442, 2187, 453, 18851, 1607, 1599, 6067, 1115, 547, 519, 1268, 5293, 538, 607, 9936, 12163, 13537, 28442, 994, 13537, 28442, 266, 1911, 271, 994, 13537, 2891, 15916, 267, 834, 1341, 1193, 28442, 264, 1341, 834, 269, 6153, 6640, 10590, 2020, 258, 26250, 263, 1911, 271, 994, 258, 26250, 263, 11277, 269, 27174, 276, 994, 258, 26250, 3488, 1597, 340, 17210, 692, 16482, 258, 1948, 634, 1101, 5569, 1310, 519, 1599, 20927, 568, 1572, 519, 2703, 11415, 543, 454, 258, 1948, 568, 2110, 585, 12319, 5569, 269, 898, 568, 1031, 547, 2491, 538, 5618, 267, 1018, 513, 1599, 1281, 563, 16482, 258, 1948, 3622, 946, 17784, 10530, 865, 602, 2703, 11415, 666, 8831, 909, 547, 2789, 3515, 563, 258, 1948, 901, 5569, 568, 2139, 547, 721, 607, 6449, 25269, 1029, 14487, 540, 519, 1599, 563, 16482, 2745, 14116, 22901, 14857, 327, 1662, 1029, 15405, 2745, 22607, 1662, 14116, 22901, 4917, 258, 1820, 14116, 22901, 14857, 25269, 1029, 994, 16482, 258, 1948, 2132, 3948, 666, 2270, 4082, 799, 4991, 11117, 543, 519, 1871, 568, 8120, 563, 258, 1948, 1403, 972, 568, 1100, 4082, 538, 519, 3948, 610, 519, 2132, 3948, 3294, 568, 711, 1459, 3330, 513, 1599, 2676, 258, 1948, 1287, 519, 1599, 786, 2132, 519, 7183, 1843, 454, 16482, 258, 1820, 14116, 22901, 2891, 9802, 27363, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 12163, 10852, 1599, 585, 1210, 32102, 332, 7531, 287, 10461, 281, 986, 334, 336, 12011, 340, 454, 32046, 593, 774, 340, 4239, 476, 1428, 476, 2641, 281, 4391, 281, 876, 476, 1001, 276, 7531, 20701, 5228, 32102, 332, 1104, 700, 24278, 454, 5228, 1239, 1104, 4452, 318, 1511, 322, 1001, 276, 12774, 318, 10090, 730, 454, 5228, 5688, 6500, 1104, 5084, 4696, 5085, 14011, 454, 5228, 4494, 1104, 32102, 332, 9078, 9707, 267, 513, 11355, 318, 716, 10675, 267, 6456, 9078, 9707, 454, 5228, 4494, 1104, 1025, 560, 332, 9078, 9707, 267, 1979, 318, 1511, 322, 318, 716, 10675, 454, 5228, 2588, 2812, 1104, 2608, 7531, 3698, 5721, 9078, 560, 332, 263, 641, 5406, 267, 5721, 10574, 267, 4570, 10574, 267, 1449, 10574, 267, 562, 9078, 9707, 267, 562, 20189, 5200, 2187, 825, 1948, 19461, 1125, 7844, 454, 825, 2203, 815, 700, 24278, 10797, 825, 1948, 12706, 22532, 8416, 454, 825, 562, 17750, 815, 476, 10019, 454, 825, 562, 20189, 5200, 815, 562, 20189, 5200, 454, 825, 562, 318, 16059, 815, 476, 272, 454, 825, 1948, 2203, 14491, 10857, 560, 332, 9078, 9707, 3799, 17750, 267, 562, 20189, 5200, 4917, 825, 1948, 2203, 14491, 20573, 1886, 11073, 15405, 825, 2203, 14491, 22607, 5200, 9078, 9707, 3799, 17750, 267, 562, 20189, 5200, 4917, 825, 585, 1775, 538, 2039, 3799, 9078, 9707, 2187, 1038, 2203, 14491, 10857, 560, 332, 9078, 9707, 3799, 20189, 5200, 267, 562, 20189, 5200, 4917, 1038, 1948, 2203, 14491, 20573, 1886, 11073, 31156, 825, 2203, 14491, 263, 1511, 322, 318, 716, 10675, 3799, 20189, 5200, 267, 476, 272, 264, 9239, 825, 1948, 7994, 5688, 6500, 454, 825, 740, 611, 12265, 815, 5084, 4696, 5085, 14011, 4590, 825, 3681, 14277, 9953, 574, 6500, 19312, 815, 740, 611, 12265, 692, 825, 1948, 454, 825, 2203, 2593, 335, 850, 263, 9953, 687, 2020, 825, 1948, 9751, 454, 825, 5721, 318, 20482, 267, 4570, 318, 20482, 267, 1449, 318, 20482, 815, 2203, 32265, 6025, 1778, 10574, 267, 4570, 10574, 267, 1449, 10574, 994, 825, 1642, 2203, 454, 825, 2132, 5721, 318, 20482, 267, 4570, 318, 20482, 267, 1449, 318, 20482, 7531, 3698, 5721, 318, 4565, 560, 332, 263, 9953, 687, 267, 5721, 10574, 267, 4570, 10574, 267, 1449, 10574, 267, 562, 9078, 9707, 267, 562, 20189, 5200, 2187, 825, 1948, 19461, 1125, 7844, 454, 825, 2203, 815, 700, 24278, 10797, 825, 1948, 12706, 22532, 8416, 454, 825, 562, 17750, 815, 476, 10019, 454, 825, 562, 20189, 5200, 815, 562, 20189, 5200, 454, 825, 562, 318, 16059, 815, 476, 272, 454, 825, 1948, 2203, 14491, 263, 4565, 560, 332, 9078, 9707, 3799, 17750, 267, 562, 20189, 5200, 4917, 825, 1948, 2203, 14491, 20573, 1886, 11073, 15405, 825, 2203, 14491, 22607, 5200, 9078, 9707, 3799, 17750, 267, 562, 20189, 5200, 4917, 825, 585, 1775, 538, 2039, 3799, 9078, 9707, 2187, 1038, 2203, 14491, 263, 4565, 560, 332, 9078, 9707, 3799, 20189, 5200, 267, 562, 20189, 5200, 4917, 1038, 1948, 2203, 14491, 20573, 1886, 11073, 31156, 825, 2203, 14491, 6357, 328, 318, 1511, 322, 318, 716, 10675, 3799, 20189, 5200, 267, 476, 272, 264, 9239, 825, 1948, 7994, 5688, 6500, 454, 825, 740, 611, 12265, 815, 5084, 4696, 5085, 14011, 4590, 825, 3681, 14277, 9953, 574, 6500, 19312, 815, 740, 611, 12265, 692, 825, 1948, 454, 825, 2203, 2593, 335, 850, 263, 9953, 687, 2020, 825, 1948, 9751, 454, 825, 5721, 318, 20482, 267, 4570, 318, 20482, 267, 1449, 318, 20482, 815, 2203, 32265, 6025, 1778, 10574, 267, 4570, 10574, 267, 1449, 10574, 994, 825, 1642, 2203, 454, 825, 2132, 5721, 318, 20482, 267, 4570, 318, 20482, 267, 1449, 318, 20482, 7531, 3698, 1449, 263, 641, 5406, 267, 5721, 10574, 267, 4570, 10574, 267, 1449, 10574, 267, 562, 9078, 9707, 267, 562, 20189, 5200, 2187, 825, 1948, 19461, 1125, 7844, 454, 825, 2203, 815, 700, 24278, 10797, 825, 1948, 12706, 22532, 8416, 454, 825, 562, 17750, 815, 476, 10019, 454, 825, 562, 20189, 5200, 815, 476, 5038, 454, 825, 1948, 562, 20189, 5200, 815, 703, 3799, 17750, 265, 333, 20189, 5200, 994, 825, 562, 318, 16059, 815, 476, 272, 454, 825, 2203, 14491, 10857, 560, 332, 9078, 9707, 263, 10019, 267, 476, 1220, 4917, 825, 2203, 14491, 10857, 560, 332, 9078, 9707, 263, 1220, 267, 476, 8182, 4917, 825, 1948, 2203, 14491, 10857, 560, 332, 9078, 9707, 15405, 825, 1948, 585, 1775, 538, 2039, 3799, 9078, 9707, 2187, 825, 1948, 672, 2203, 14491, 10857, 560, 332, 9078, 9707, 3799, 20189, 5200, 267, 562, 20189, 5200, 4917, 825, 1948, 2203, 14491, 20573, 1886, 11073, 31156, 825, 2203, 14491, 263, 1511, 322, 318, 716, 10675, 263, 8182, 267, 562, 318, 16059, 4917, 825, 1948, 2203, 14491, 20573, 1886, 11073, 31156, 825, 1948, 7994, 5688, 6500, 454, 825, 740, 611, 12265, 815, 5084, 4696, 5085, 14011, 4590, 825, 3681, 14277, 9953, 574, 6500, 19312, 815, 740, 611, 12265, 692, 825, 1948, 454, 825, 2203, 2593, 335, 850, 263, 9953, 687, 2020, 825, 1948, 9751, 454, 825, 5721, 318, 20482, 267, 4570, 318, 20482, 267, 1449, 318, 20482, 815, 2203, 32265, 6025, 1778, 10574, 267, 4570, 10574, 267, 1449, 10574, 994, 825, 1642, 2203, 454, 825, 2132 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 13077, 9261, 4138, 25602, 4344, 23485, 16648, 7846, 4344, 13833, 815, 7529, 4499, 2525, 15419, 2745, 2891, 28612, 955, 4578, 268, 9686, 27799, 7549, 23485, 10528, 4344, 18775, 28612, 9339, 268, 257, 9239, 5035, 4578, 5327, 322, 912, 825, 5727, 4578, 268, 9686, 27799, 7549, 23485, 10528, 4344, 18775, 454, 825, 29185, 825, 1219, 6449, 1326, 9191, 1345, 267, 1073, 329, 267, 804, 338, 22561, 2187, 1038, 1820, 2891, 476, 4578, 5327, 322, 14857, 1326, 1029, 5602, 1038, 1820, 2891, 476, 14307, 1582, 267, 1073, 329, 267, 804, 338, 994, 1038, 2132, 834, 1262, 332, 20723, 17393, 5296, 528, 1262, 5016, 825, 1219, 6449, 3553, 9191, 1345, 267, 1073, 329, 267, 1871, 2187, 1038, 1820, 2891, 476, 4578, 5327, 322, 14857, 3553, 1029, 5602, 1038, 1820, 2891, 476, 14307, 1582, 267, 1073, 329, 267, 1871, 2020, 825, 1219, 6449, 1372, 8541, 9191, 1345, 267, 1073, 329, 2187, 1038, 1820, 2891, 476, 4578, 5327, 322, 14857, 1372, 8541, 1029, 5602, 1038, 1820, 2891, 476, 14307, 1582, 267, 1073, 329, 9239, 5035, 667, 912, 825, 5727, 2843, 504, 20977, 4736, 4736, 11012, 18194, 27799, 7549, 23485, 10528, 4344, 18775, 21134, 18194, 31606, 21162, 17153, 454, 825, 29185, 825, 546, 815, 4578, 5327, 322, 30800, 323, 318, 28128, 815, 667, 10797, 2745, 2891, 271, 269, 29112, 19757, 21268, 21833, 4138, 9261, 3378, 3264, 546, 318, 28128, 14857, 18743, 1029, 11714, 11012, 3522, 9261, 21134, 21660, 10948, 3522, 6459, 3264, 24333, 546, 318, 28128, 14857, 18743, 1029, 2020, 2745, 2891, 272, 269, 2843, 509, 17201, 7846, 10948, 4138, 31224, 23970, 20265, 10948, 23845, 3264, 25602, 4344, 23485, 16648, 7846, 25000, 907, 23528, 258, 2843, 509, 23485, 18194, 3378, 13150, 7846, 10528, 3264, 17095, 25602, 4344, 23485, 16648, 7846, 4344, 7846, 25338, 7846, 9686, 20046, 11714, 9924, 13194, 27593, 4709, 20413, 20046, 19757, 6449, 1326, 1029, 18194, 27799, 7549, 23485, 10528, 26580, 13077, 454, 343, 815, 546, 318, 28128, 6155, 454, 2745, 2891, 272, 269, 2843, 501, 20265, 10948, 23845, 3264, 25602, 4344, 23485, 16648, 7846, 25000, 630, 9686, 3378, 13150, 7846, 10528, 24893, 3264, 16417, 13194, 18194, 27799, 7549, 23485, 10528, 4344, 18775, 2567, 2580, 1535, 2020, 258, 29112, 5284, 371, 28027, 17221, 3264, 25602, 4344, 23485, 16648, 7846, 25000, 11714, 11012, 6459, 13833, 3522, 16417, 16044, 491, 7549, 13194, 27671, 10528, 31124, 13077, 17095, 20977, 4736, 4736, 3522, 630, 9686, 27799, 7549, 23485, 10528, 4344, 18775, 994, 2745, 2891, 273, 269, 2843, 352, 13150, 31606, 13833, 4138, 31224, 23970, 20265, 10948, 23845, 3264, 25602, 4344, 23485, 16648, 7846, 25000, 907, 23528, 323, 318, 28128, 6155, 815, 834, 10528, 17201, 3264, 13194, 21170, 3264, 23970, 20265, 10948, 23845, 3264, 4840, 2745, 2891, 274, 269, 29112, 19757, 21268, 21833, 4138, 9261, 3378, 3264, 546, 318, 28128, 14857, 18743, 1029, 10780, 25974, 6459, 3264, 27188, 13150, 31606, 13833, 24012, 25602, 4344, 23485, 16648, 7846, 25000, 24333, 546, 318, 28128, 14857, 18743, 1029, 2020, 343, 815, 546, 318, 28128, 6155, 454, 2745, 2891, 275, 269, 2843, 501, 20265, 10948, 23845, 3264, 25602, 4344, 23485, 16648, 7846, 25000, 630, 9686, 3378, 13150, 7846, 10528, 24893, 3264, 16417, 13194, 18194, 27799, 7549, 23485, 10528, 4344, 18775, 2567, 2580, 1535, 2020, 258, 2843, 352, 28027, 6459, 23845, 3264, 25602, 4344, 23485, 16648, 7846, 25000, 15800, 13194, 11012, 6459, 13833, 3522, 4814, 9326, 16044, 491, 7549, 13194, 27671, 10528, 31124, 13077, 17095, 20977, 4736, 4736, 3522, 454, 2745, 2891, 276, 269, 2843, 352, 28027, 20434, 31224, 25602, 4344, 23485, 16648, 7846, 4344, 907, 23528, 23437, 546, 318, 28128, 6155, 454, 2745, 2891, 277, 269, 29112, 19757, 21268, 21833, 4138, 9261, 3378, 3264, 546, 318, 28128, 14857, 18743, 1029, 27188, 28027, 6459, 23845, 9326, 25602, 4344, 23485, 16648, 7846, 25000, 24333, 546, 318, 28128, 14857, 18743, 1029, 9239, 2745, 2891, 278, 269, 2843, 509, 17201, 7846, 10948, 4138, 31224, 25602, 4344, 23485, 16648, 7846, 4344, 21660, 27188, 4814, 13833, 4709, 3264, 17095, 20977, 4736, 4736, 3522, 907, 23528, 343, 815, 667, 6155, 454, 2745, 2891, 279, 269, 2843, 501, 20265, 10948, 23845, 3264, 25602, 4344, 23485, 16648, 7846, 25000, 667, 6155, 24333, 1535, 2020, 258, 2843, 498, 27799, 7549, 23485, 10528, 4344, 18775, 25338, 7846, 9686, 20046, 30935, 9261, 12811, 397, 495, 4709, 16068, 16648, 9924, 10948, 4709, 26281, 11012, 4344, 4814, 30718, 26281, 21660, 27188, 4814, 13833, 4709, 3264, 17095, 20977, 4736, 4736, 3522, 454, 2745, 2891, 280, 269, 2843, 352, 13150, 31606, 13833, 4138, 31224, 667, 6155, 10371, 23528, 291, 6155, 815, 834, 284, 288, 1871, 538, 1362, 6889, 476, 1948, 24177, 734, 23970, 9686, 27799, 9841, 14359, 3264, 11714, 9924, 13194, 9924, 27593, 20046, 31502, 20413, 20046, 19757, 6449, 3553, 1029, 692, 2745, 2891, 2652, 1422, 270, 2843, 508, 16648, 13077, 28821, 16021, 11714, 17221, 9261, 3522, 17221, 3264, 476, 1422, 270, 2652, 5602, 2745, 2891, 1015, 269, 2843, 501, 20265, 10948, 23845, 3264, 25602, 4344, 23485, 16648, 7846, 25000, 667, 6155, 24333, 667, 6155, 994, 2745, 2891, 1556, 269, 2843, 501, 20265, 10948, 23845, 3264, 25602, 4344, 23485, 16648, 7846, 25000, 546, 318, 28128, 6155, 24333, 546, 318, 28128, 6155, 2020, 2745, 4590, 2745, 2891, 28612, 955, 6348, 1673, 1092, 268, 9686, 27799, 7549, 23485, 10528, 4344, 18775, 28612, 9339, 268, 257, 9239, 5035, 5192, 21671, 5327, 322, 912, 825, 5727, 6348, 1673, 1092, 18194, 27799, 7549, 23485, 10528, 4344, 18775, 454, 825, 29185, 825, 1219, 6449, 1326, 9191, 1345, 267, 1073, 329, 267, 804, 338, 22561, 2187, 1038, 2132, 834, 1262, 332, 20723, 17393, 5296, 528, 1262, 5016, 454, 5035, 595, 912, 825, 5727, 2843, 504, 20977, 4736, 4736, 11012, 16068, 9686, 17221, 9261, 18194, 27799, 7549, 23485, 10528, 4344, 18775, 21134, 454, 825, 29185, 825, 546, 815, 5192, 21671, 5327, 322, 30800, 322, 28128, 815, 595, 10797, 258, 2843, 509, 23485, 18194, 3378, 13150, 7846, 10528, 3264, 17095, 25602, 4344, 23485, 16648, 7846, 4344, 7846, 25338, 7846, 9686, 20046, 11714, 9924, 13194, 27593, 4709, 20413, 20046, 19757, 6449, 1326, 1029, 18194, 27799, 7549, 23485, 10528, 26580, 13077, 454, 343, 815, 25865, 329, 6155, 454, 2745, 2891, 271, 269, 29112, 19757, 21268, 21833, 4138, 9261, 3378, 3264, 16068, 16648, 397, 488, 3264, 7549, 25000, 11714, 11012, 3522, 9261, 21134, 21660, 10948, 3522, 6459, 3264, 24333, 25865, 329, 14857, 18743, 1029, 994, 2745, 2891, 272, 269, 2843, 501, 20265, 10948, 23845, 3264, 25602, 4344, 23485, 16648, 7846, 25000, 630, 9686, 3378, 13150, 7846, 10528, 24893, 3264, 16417, 13194, 18194, 27799, 7549, 23485, 10528, 4344, 18775, 2567, 2580, 1535, 2020, 258, 29112, 5284, 371, 28027, 17221, 3264, 25602, 4344, 23485, 16648, 7846, 25000, 11714, 11012, 6459, 13833, 3522, 16417, 16044, 491, 7549, 13194, 27671, 10528, 31124, 13077, 17095, 20977, 4736, 4736, 3522, 630, 9686, 27799, 7549, 23485, 10528, 4344, 18775, 994, 322, 28128, 6155, 815, 834, 3553, 1154, 513, 1871, 4840, 343, 815, 25865, 329, 6155, 454, 2745, 2891, 273, 269, 2843, 501, 20265, 10948, 23845, 3264, 25602, 4344, 23485, 16648, 7846, 25000, 630, 9686, 3378, 13150, 7846, 10528, 24893, 3264, 16417, 13194, 6449, 18743, 1029, 2567, 2580, 1535, 994, 2745, 2891, 274, 269, 29112, 19757, 21268, 21833, 4138, 9261, 3378, 3264, 16068, 16648, 397, 488, 3264, 7549, 25000, 10780, 25974, 6459, 3264, 476, 27188, 13150, 31606, 13833, 24012, 25602, 4344, 23485, 16648, 7846, 25000, 24333, 25865, 329, 14857, 18743, 1029, 2020, 258, 2843, 352, 28027, 6459, 23845, 3264, 25602, 4344, 23485, 16648, 7846, 25000, 15800, 13194, 11012, 6459, 13833, 3522, 4814, 9326, 16044, 491, 7549, 13194, 27671, 10528, 31124, 13077, 17095, 20977, 4736, 4736, 3522, 454, 23437, 25865, 329, 6155, 454, 2745, 2891, 275, 269, 29112, 19757, 21268, 21833, 4138, 9261, 3378, 3264, 16068, 16648, 397, 488, 3264, 7549, 25000, 10780, 25974, 6459, 3264, 27188, 28027, 6459, 23845, 9326, 25602, 4344, 23485, 16648, 7846, 25000, 24333, 25865, 329, 14857, 18743, 1029, 2020, 343, 815, 25865, 329, 6155, 454, 2745, 2891, 275, 269, 272, 269, 2843, 501, 20265, 10948, 23845, 3264, 25602, 4344, 23485, 16648, 7846, 25000, 630, 9686, 3378, 13150, 7846, 10528, 24893, 3264, 16417, 13194, 18194, 27799, 7549, 23485, 10528, 4344, 18775, 2567, 2580, 1535, 2020, 343, 815, 595, 6155, 454, 2745, 2891, 276, 269, 2843, 501, 20265, 10948, 23845, 3264, 25602, 4344, 23485, 16648, 7846, 25000, 595, 6155, 24333, 1535, 2020, 258, 2843, 498, 27799, 7549, 23485, 10528, 4344, 18775, 25338, 7846, 9686, 20046, 30935, 9261, 12811, 397, 495, 4709, 16068, 16648, 9924, 10948, 4709, 26281, 11012, 4344, 4814, 30718, 26281, 21660, 27188, 4814, 13833, 4709, 3264, 17095, 20977, 4736, 4736, 3522, 454, 290, 6155, 815, 834, 3553, 1154, 513, 1871, 593, 1362, 4840, 2745, 2891, 277, 269, 2843, 501, 20265, 10948, 23845, 3264, 25602, 4344, 23485, 16648, 7846, 25000, 595, 6155, 24333, 595, 6155, 994, 0, 258, 2843, 351, 3522, 16648, 20434, 10948, 21170, 3264, 10780, 16417, 9686, 13150, 3522, 8563, 6459, 23845, 3264, 11012, 10528, 25986, 18547, 11012, 6459, 13833, 3522, 16417, 13953, 454, 5228, 9184, 3634, 1104, 9184, 3634, 692, 14654, 1255, 8217, 815, 1496, 454, 825, 9497, 23911, 2580, 834, 5793, 2181, 1540, 2580, 834, 1960, 272, 257, 13211, 825, 9497, 297, 16787, 288, 2580, 834, 4818, 6150, 2580, 834, 1960, 276, 257, 13211, 825, 9497, 396, 350, 2580, 834, 4818, 6150, 2580, 834, 3192, 273, 257, 13211, 6540, 3712, 8435, 815, 22373, 32491, 2719, 1893, 2580, 834, 6943, 2580, 834, 20204, 31116, 258, 2843, 352, 18547, 13194, 3522, 17221, 3264, 30935, 15671, 17201, 13833, 7549, 13833, 11714, 10780, 3522, 13077, 9261, 20046, 16417, 2212, 619, 454, 14456, 815, 9184, 3634, 6025, 340, 1255, 8217, 267, 2212, 619, 284, 3712, 8435, 994, 2745, 6025, 762, 994, 0, 4067, 815, 1412, 299, 648, 333, 345, 7055, 720, 815, 476, 2641, 692, 2745, 6600, 31415, 515, 1699, 3923, 568, 2715, 4067, 348, 17210, 323, 815, 1496, 454, 476, 13634, 476, 1412, 4067, 9166, 1412, 331, 648, 333, 345, 22779, 476, 1412, 720, 9166, 476, 2190, 454, 476, 7684, 2676, 476, 13634, 476, 1412, 4067, 9166, 1412, 13568, 11986, 22779, 476, 1412, 720, 9166, 476, 4200, 454, 476, 7684, 454, 6540, 1721, 1268, 538, 546, 912, 476, 2012, 815, 1268, 9131, 4067, 23300, 476, 2085, 815, 1268, 9131, 720, 23300, 476, 1820, 6600, 31415, 20130, 7817, 568, 1572, 2715, 4067, 348, 543, 568, 2715, 720, 348, 1296, 2025, 10807 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8079, 2639, 825, 29185, 825, 2262, 9078, 9975, 815, 2715, 10926, 825, 1948, 1520, 4765, 1412, 5320, 3259, 281, 1592, 540, 1913, 262, 607, 1883, 267, 1871, 8424, 547, 8675, 454, 825, 585, 2262, 538, 1913, 912, 1038, 952, 7003, 27182, 264, 538, 2262, 9078, 9975, 912, 2018, 2262, 9078, 9975, 314, 6352, 27182, 264, 4940, 6572, 27182, 994, 1038, 3116, 912, 2018, 2262, 9078, 9975, 314, 6352, 27182, 13580, 815, 1496, 5320, 6540, 825, 1948, 17776, 539, 1592, 8223, 540, 24042, 1883, 1871, 8424, 15044, 676, 2262, 3259, 543, 676, 1913, 454, 825, 2132, 27883, 26319, 267, 15044, 27182, 8217, 4297, 585, 3259, 267, 2262, 8217, 538, 15044, 27182, 9078, 9975, 29096, 28829, 6540, 692, 3698, 14377, 15461, 318, 2869, 622, 4671, 1779, 263, 874, 19189, 2187, 825, 5727, 9558, 17218, 8360, 547, 19266, 622, 2911, 780, 825, 9717, 513, 8360, 267, 14377, 1142, 2262, 547, 519, 623, 597, 622, 6741, 752, 454, 825, 6697, 269, 9293, 602, 3112, 581, 12261, 883, 623, 597, 622, 6741, 752, 454, 825, 1058, 1780, 998, 24240, 269, 17776, 519, 4611, 4845, 780, 825, 3371, 781, 513, 3349, 540, 2296, 547, 623, 597, 622, 16627, 1384, 825, 28612, 734, 476, 476, 2411, 454, 825, 2296, 672, 623, 597, 622, 454, 825, 28612, 734, 476, 476, 2411, 454, 825, 27205, 1363, 19898, 344, 454, 825, 15678, 11434, 7904, 629, 698, 7961, 454, 825, 2875, 672, 2220, 13741, 773, 454, 825, 812, 1363, 19898, 344, 454, 825, 7548, 567, 28067, 1025, 12000, 691, 454, 825, 13962, 476, 7523, 2917, 454, 825, 707, 1038, 586, 518, 454, 825, 28195, 8587, 2855, 454, 825, 1053, 825, 2220, 629, 9812, 454, 825, 616, 1363, 581, 454, 825, 1964, 3336, 825, 2212, 454, 825, 1250, 16875, 803, 454, 825, 568, 16875, 581, 454, 825, 28612, 734, 476, 476, 2411, 692, 825, 1280, 1383, 281, 1384, 1038, 21188, 14377, 15461, 318, 2869, 622, 4671, 1779, 2891, 3240, 2875, 568, 711, 513, 812, 5602, 1038, 1412, 1889, 2220, 13741, 773, 581, 711, 513, 19898, 344, 28847, 825, 1411, 1058, 1521, 1913, 609, 18685, 607, 952, 789, 941, 1114, 454, 825, 1913, 281, 1384, 1038, 21188, 14377, 15461, 318, 2869, 622, 4671, 1779, 2891, 3240, 2875, 568, 711, 513, 812, 32405, 1038, 1412, 1889, 2220, 13741, 773, 581, 711, 513, 812, 256, 7055, 825, 29185, 825, 19266, 622, 18380, 815, 13634, 1038, 1412, 338, 597, 9166, 1412, 22940, 344, 22779, 1038, 1412, 14653, 601, 9166, 1412, 325, 548, 629, 698, 7961, 22779, 1038, 1412, 30700, 9166, 1412, 1873, 13741, 773, 22779, 1038, 1412, 2006, 9166, 1412, 22940, 344, 22779, 1038, 1412, 2889, 13940, 528, 9166, 1412, 325, 9567, 1025, 12000, 691, 22779, 1038, 1412, 6135, 4768, 656, 9166, 1412, 6549, 2917, 22779, 1038, 1412, 20365, 9166, 1412, 9807, 22779, 1038, 1412, 1410, 322, 2224, 9166, 1412, 1551, 22779, 1038, 1412, 29324, 9166, 1412, 1873, 629, 9812, 22779, 1038, 1412, 732, 9166, 1412, 2041, 22779, 1038, 1412, 6135, 3336, 9166, 1412, 3650, 22779, 1038, 1412, 3240, 9166, 1412, 1889, 22779, 1038, 1412, 529, 9166, 1412, 2041, 262, 10926, 825, 1913, 815, 8360, 21858, 3488, 30386, 825, 1007, 318, 874, 19189, 815, 1496, 2869, 622, 18380, 314, 5320, 316, 952, 2262, 538, 19266, 622, 18380, 3116, 2262, 585, 2262, 538, 1913, 6540, 825, 2132, 834, 834, 269, 21860, 28956, 318, 874, 19189, 2020, 692, 3698, 3214, 14682, 877, 3799, 1868, 2187, 825, 5727, 25440, 513, 3214, 262, 2262, 5832, 3014, 780, 825, 9717, 513, 1592, 540, 4408, 267, 899, 281, 1384, 8587, 536, 6782, 2545, 339, 1195, 586, 600, 2532, 5182, 569, 9224, 10139, 737, 531, 984, 12183, 344, 692, 825, 1684, 519, 1739, 1384, 825, 476, 272, 269, 11408, 1376, 609, 519, 1101, 2262, 9497, 321, 6782, 2580, 538, 713, 1383, 6393, 825, 476, 273, 269, 5410, 621, 547, 519, 2164, 780, 825, 476, 274, 269, 2422, 519, 2063, 4484, 540, 602, 2262, 547, 1413, 585, 519, 1985, 2262, 563, 11434, 4595, 834, 321, 6782, 257, 7475, 609, 562, 267, 1265, 519, 2608, 14140, 265, 2262, 4358, 454, 11434, 609, 834, 333, 257, 538, 938, 1592, 26905, 538, 713, 2013, 267, 834, 333, 846, 10139, 6231, 825, 476, 275, 269, 5410, 834, 333, 846, 10139, 257, 547, 519, 2164, 267, 543, 3136, 269, 4495, 513, 2262, 814, 454, 11434, 1044, 1031, 267, 621, 666, 1405, 581, 1031, 1586, 26905, 865, 649, 3513, 2760, 1205, 547, 454, 11434, 946, 834, 321, 6782, 257, 610, 834, 333, 846, 10139, 257, 513, 2034, 942, 780, 825, 476, 276, 269, 1879, 596, 666, 1405, 1265, 606, 30694, 2262, 547, 946, 267, 596, 2811, 2944, 2336, 11434, 17776, 519, 1592, 540, 3977, 1913, 780, 825, 1280, 1383, 281, 1384, 1038, 21188, 3214, 14682, 877, 8443, 257, 321, 6782, 2580, 834, 4472, 339, 1195, 2580, 834, 344, 600, 2532, 2580, 834, 560, 8765, 20350, 1038, 3267, 2018, 834, 333, 846, 10139, 2580, 834, 32039, 984, 2580, 834, 333, 1157, 344, 2580, 834, 2692, 690, 518, 257, 7481, 1038, 18358, 321, 6782, 3299, 1412, 333, 846, 10139, 3299, 1412, 560, 8765, 3299, 1412, 344, 600, 2532, 3299, 1412, 32039, 984, 3299, 1412, 4472, 339, 1195, 262, 6540, 825, 630, 5475, 834, 4472, 339, 1195, 2580, 972, 616, 1100, 811, 586, 2914, 3581, 267, 865, 649, 1439, 267, 1256, 454, 825, 1498, 834, 333, 1157, 344, 257, 543, 834, 2692, 690, 518, 257, 14201, 1405, 1031, 24355, 825, 6271, 1383, 1384, 1038, 21188, 3214, 14682, 877, 8443, 257, 20625, 2580, 834, 9440, 2580, 834, 7815, 787, 257, 7481, 1038, 18358, 20625, 262, 6540, 825, 901, 568, 513, 16602, 1966, 269, 769, 1880, 267, 1589, 827, 875, 1210, 454, 825, 513, 8675, 630, 5976, 519, 2706, 1922, 770, 1413, 1575, 789, 1683, 264, 666, 948, 3248, 825, 1434, 3435, 1934, 786, 9090, 2154, 513, 8675, 563, 825, 8173, 825, 1948, 8073, 8675, 609, 1883, 267, 1871, 8424, 540, 2012, 281, 630, 14140, 4484, 267, 2063, 4484, 994, 825, 4408, 18380, 815, 2715, 4067, 281, 263, 4067, 314, 271, 3910, 2012, 15631, 272, 8079, 585, 2012, 538, 4408, 10926, 825, 1948, 19372, 1101, 2012, 607, 519, 6079, 267, 543, 1711, 8900, 2164, 1592, 563, 825, 2012, 267, 535, 318, 12072, 267, 561, 318, 12072, 815, 4408, 314, 271, 3910, 4408, 314, 271, 6012, 271, 3910, 4408, 314, 271, 6012, 268, 272, 2639, 825, 2164, 815, 29129, 825, 1948, 16294, 2175, 2838, 547, 1039, 1985, 2012, 547, 1592, 454, 825, 1247, 2012, 711, 538, 2164, 543, 561, 318, 12072, 2652, 2012, 15631, 272, 28660, 1038, 1948, 2561, 754, 2012, 547, 2164, 543, 1711, 1592, 540, 1913, 602, 2743, 7355, 540, 1101, 4484, 454, 1038, 1948, 1373, 3160, 547, 2063, 4484, 540, 840, 3865, 532, 2262, 454, 1038, 2164, 6910, 28442, 994, 1038, 1761, 318, 10113, 5332, 1868, 815, 1496, 4067, 585, 2012, 267, 5022, 538, 4408, 18380, 29096, 3890, 952, 5022, 314, 271, 316, 2652, 561, 318, 12072, 6540, 1038, 1948, 31207, 998, 4408, 547, 1265, 1346, 538, 519, 1494, 523, 658, 1985, 1592, 711, 2943, 1031, 454, 1038, 1948, 630, 5979, 25660, 555, 745, 4408, 3731, 515, 678, 22474, 1761, 1985, 4408, 547, 2327, 2953, 1931, 994, 1038, 585, 2012, 538, 4408, 912, 2018, 952, 2012, 538, 1761, 318, 10113, 5332, 1868, 543, 2012, 711, 538, 2164, 1384, 3546, 1948, 1879, 1985, 2012, 1031, 267, 15260, 793, 4632, 547, 581, 1031, 1586, 689, 1283, 540, 1247, 8520, 454, 3546, 2012, 815, 2012, 454, 3546, 561, 318, 12072, 815, 2012, 15631, 272, 2639, 3546, 2736, 692, 825, 2132, 2164, 7531, 19399, 19399, 7462, 454, 258, 1411, 666, 11716, 3388, 2630, 713, 780, 3698, 1820, 18380, 5560, 2187, 825, 1948, 901, 1505, 568, 1031, 547, 1820, 21594, 538, 1883, 17038, 8224, 673, 454, 825, 1948, 1931, 267, 543, 568, 1152, 585, 938, 11705, 3949, 269, 1411, 666, 11716, 621, 563, 825, 952, 568, 27349, 5560, 267, 9598, 2187, 1038, 1820, 834, 346, 257, 1341, 14307, 834, 269, 21860, 18692, 2018, 834, 260, 337, 281, 4939, 337, 257, 4939, 630, 330, 267, 546, 25208, 8079, 585, 737, 538, 15044, 5560, 4297, 1341, 834, 348, 4840, 825, 3116, 912, 1038, 1820, 546, 7531, 3698, 4990, 7272, 4202, 10857, 2187, 825, 1948, 7179, 15044, 1592, 540, 8424, 1141, 519, 8424, 616, 15044, 269, 901, 568, 454, 825, 1948, 1031, 1152, 585, 12319, 4255, 269, 1411, 666, 11716, 621, 563, 825, 2132, 15044, 4433, 9285, 9638, 1515, 264, 585, 6292, 538, 561, 9239, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1820, 454, 825, 1104, 11705, 652, 454, 825, 952, 11705, 652, 6745, 652, 7116, 14061, 325, 9229, 2652, 476, 271, 912, 1038, 1820, 834, 30995, 20231, 570, 2464, 4811, 623, 19798, 3633, 2878, 265, 4840, 825, 1820, 454, 0, 258, 28605, 8193, 281, 583, 325, 268, 279, 20609, 8894, 258, 7711, 5503, 567, 2433, 476, 1001, 280, 268, 1321, 268, 1839, 476, 1724, 281, 7367, 454, 258, 7711, 10461, 2433, 1535, 2544, 328, 454, 258, 7711, 2889, 915, 281, 682, 564, 13892, 692, 12163, 21550, 485, 419, 511, 378, 16088, 28997, 478, 22287, 499, 18998, 20693, 357, 26233, 479, 25335, 482, 10254, 496, 18998, 420, 480, 350, 419, 354, 357, 18998, 420, 483, 378, 18777, 363, 419, 366, 378, 20881, 487, 14756, 481, 18263, 510, 27818, 2004, 30903, 502, 24724, 454, 30903, 502, 25203, 362, 16088, 454, 14756, 503, 27936, 22047, 12255, 14756, 482, 8147, 14395, 481, 7511, 21588, 361, 1109, 328, 476, 14748, 30317, 27381, 510, 15159, 13601, 418, 498, 363, 14756, 503, 27936, 420, 480, 350, 419, 354, 357, 21588, 361, 1775, 13127, 353, 358, 7511, 10524, 371, 21550, 376, 25707, 417, 28187, 31563, 12916, 510, 31006, 14035, 504, 9463, 359, 10429, 479, 18777, 372, 14395, 490, 29873, 13601, 21588, 498, 11590, 353, 13107, 497, 27818, 22287, 367, 18263, 364, 24662, 25520, 22287, 500, 24731, 13601, 418, 498, 363, 420, 480, 350, 419, 354, 357, 24724, 8147, 18777, 378, 18777, 350, 22047, 28997, 501, 25622, 23521, 354, 18777, 350, 28997, 501, 12916, 510, 19867, 478, 420, 25693, 420, 492, 371, 9463, 500, 7511, 31006, 27962, 10254, 358, 418, 370, 355, 25707, 21796, 357, 418, 482, 493, 12916, 510, 21251, 420, 25693, 21928, 18263, 364, 24662, 420, 480, 350, 419, 354, 357, 31176, 491, 22287, 500, 24731, 420, 480, 350, 419, 354, 357, 12486, 692, 419, 353, 374, 28032, 489, 476, 272, 912, 27447, 24662, 281, 1496, 278, 267, 272, 267, 276, 267, 274, 267, 277, 267, 275, 2639, 27447, 24731, 281, 476, 276, 454, 25335, 352, 19404, 488, 281, 13127, 506, 357, 21588, 361, 476, 273, 13127, 353, 358, 27818, 420, 480, 350, 419, 354, 357, 10524, 371, 21550, 376, 815, 476, 272, 24724, 7511, 28793, 22390, 503, 18263, 364, 24662, 8147, 21928, 21588, 361, 476, 276, 13127, 353, 358, 27818, 420, 480, 350, 419, 354, 357, 10524, 371, 21550, 376, 815, 476, 277, 24724, 7511, 28793, 22390, 503, 22287, 500, 24731, 8147, 31006, 27962, 10254, 358, 418, 370, 355, 815, 476, 277, 268, 272, 815, 476, 276, 476, 25707, 672, 17276, 367, 357, 418, 482, 493, 10254, 358, 418, 370, 355, 21251, 420, 25693, 15159, 476, 278, 268, 272, 815, 476, 277, 267, 13127, 505, 510, 20992, 22287, 500, 24731, 10524, 371, 21550, 376, 421, 506, 478, 28884, 27962, 30678, 18263, 364, 24662, 10524, 371, 21550, 376, 25707, 419, 353, 374, 28032, 489, 476, 273, 912, 27447, 24662, 281, 1496, 278, 267, 277, 267, 275, 267, 274, 267, 272, 2639, 27447, 24731, 281, 476, 271, 454, 25335, 352, 19404, 488, 281, 13127, 506, 357, 30244, 26175, 491, 418, 481, 483, 19540, 369, 31284, 267, 17276, 366, 350, 20069, 11590, 353, 13107, 497, 14395, 490, 29873, 267, 17276, 487, 478, 23284, 31006, 27962, 10254, 358, 418, 370, 355, 20992, 476, 271, 12486, 692, 23521, 354, 418, 374, 494, 16088, 20693, 505, 19867, 352, 27818, 8867, 564, 24927, 24724, 454, 421, 497, 378, 26406, 354, 16088, 10059, 2517, 548, 564, 13892, 2275, 333, 2593, 24579, 21793, 11486, 652, 6066, 3562, 1532, 8500, 7146, 5498, 961, 3613, 1442, 454, 20701, 454, 5035, 8827, 272, 912, 825, 1219, 3193, 3682, 7257, 4311, 267, 5777, 281, 1592, 264, 9847, 703, 912, 1038, 556, 815, 476, 271, 454, 1038, 585, 1775, 538, 2039, 12759, 9638, 4631, 264, 910, 476, 272, 2187, 2018, 556, 815, 3193, 263, 516, 267, 3193, 9638, 4631, 5157, 266, 272, 281, 8079, 910, 5777, 5157, 20285, 1038, 2132, 556, 454, 258, 476, 1960, 1315, 476, 1220, 476, 14748, 20881, 504, 13213, 485, 418, 369 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4559, 1524, 269, 1452, 3515, 1118, 519, 7953, 540, 513, 1318, 6906, 780, 2414, 1265, 519, 3845, 1063, 543, 649, 1265, 519, 1871, 540, 519, 30494, 267, 2073, 1210, 519, 25355, 14497, 780, 2971, 7151, 645, 692, 8340, 519, 3845, 1063, 2798, 543, 16317, 11405, 692, 2171, 4729, 519, 1079, 2798, 593, 519, 3113, 1657, 780, 1103, 1931, 547, 1205, 689, 1448, 547, 1448, 2073, 649, 991, 547, 1847, 476, 274, 4559, 1524, 543, 476, 276, 4559, 547, 519, 2451, 780, 2171, 1265, 519, 3845, 689, 547, 676, 4466, 519, 3259, 540, 609, 519, 25355, 14497, 780, 763, 20028, 16754, 692, 763, 5650, 649, 1175, 1031, 666, 581, 20902, 676, 1210, 519, 25355, 14497, 547, 17589, 513, 4542, 585, 519, 3845, 1063, 1022, 1079, 2798, 593, 519, 11282, 7077, 780, 4131, 779, 1265, 519, 3845, 1063, 1079, 2489, 2798, 543, 16317, 9359, 676, 28321, 519, 2798, 593, 519, 11282, 7077, 1384, 1103, 1931, 547, 1847, 689, 1448, 547, 1448, 538, 519, 11282, 7077, 267, 649, 1847, 4559, 547, 519, 1318, 543, 4559, 909, 780, 2171, 666, 1265, 519, 3259, 676, 1210, 519, 25355, 14497, 1384, 11997, 267, 1547, 901, 568, 1572, 519, 20028, 16754, 269, 2859, 18005, 1384, 11693, 1022, 1079, 2798, 543, 2073, 519, 3845, 1063, 873, 568, 692, 2171, 666, 946, 713, 4542, 547, 1265, 519, 3845, 1063, 1022, 1079, 2798, 593, 519, 11282, 7077, 269, 18564, 602, 519, 3845, 568, 519, 1482, 2436, 596, 616, 2469, 689, 1448, 547, 1448, 610, 689, 1448, 547, 1448, 2073, 865, 621, 1281, 711, 2339, 799, 1931, 596, 11690, 519, 2798, 883, 519, 3845, 4542, 780, 4131, 779, 1631, 4019, 519, 3845, 4542, 547, 519, 1739, 1806, 780, 2971, 7151, 595, 692, 8340, 519, 3845, 1063, 519, 1739, 2798, 780, 320, 264, 11196, 274, 267, 476, 276, 264, 543, 630, 275, 267, 910, 273, 2020, 321, 264, 630, 1321, 267, 476, 1626, 264, 543, 630, 866, 267, 476, 2641, 2020, 322, 264, 630, 1556, 269, 276, 267, 476, 273, 269, 274, 264, 543, 11196, 275, 269, 273, 267, 910, 274, 269, 280, 2020, 11405, 692, 303, 29888, 519, 2418, 540, 519, 1079, 2798, 883, 519, 3845, 4542, 269, 2142, 2386, 547, 14458, 952, 2009, 780, 320, 2020, 321, 2020, 322, 2020, 21104, 725, 4635, 20028, 543, 11068, 4812, 4813, 10358, 692, 763, 3845, 543, 30268, 4542, 616, 3730, 538, 9511, 3871, 1141, 649, 1616, 547, 1265, 519, 3845, 1063, 1079, 2798, 610, 519, 1448, 28870, 1063, 1079, 2798, 780, 2971, 7151, 667, 692, 5522, 582, 519, 2798, 2073, 543, 543, 1921, 873, 547, 1118, 513, 6906, 269, 8058, 602, 519, 6906, 568, 568, 30801, 780, 11405, 692, 4131, 779, 1376, 676, 28321, 519, 1614, 2798, 593, 519, 11282, 7077, 543, 1818, 513, 6906, 1384, 2171, 946, 519, 3845, 4542, 1614, 2053, 547, 1265, 519, 13080, 540, 519, 1614, 5011, 540, 519, 6906, 780, 30860, 602, 2073, 4061, 6906, 568, 568, 30801, 780, 2971, 7151, 661, 692, 4263, 476, 279, 7537, 835, 1554, 267, 2549, 597, 16976, 547, 3802, 538, 513, 2786, 1899, 593, 519, 11824, 269, 2991, 1079, 3108, 540, 1818, 1100, 7140, 543, 10707, 693, 513, 11931, 2557, 267, 2549, 597, 568, 1079, 5195, 7532, 543, 2185, 5195, 5087, 540, 1010, 4358, 1448, 269, 1215, 2484, 1705, 2549, 597, 3802, 543, 1018, 729, 1010, 6972, 3432, 2496, 11405, 692, 4131, 779, 1376, 676, 28321, 2549, 597, 779, 8905, 593, 513, 11282, 3113, 269, 1284, 666, 1747, 1010, 4358, 1448, 693, 519, 5169, 281, 1547, 3973, 1010, 10678, 1448, 786, 581, 693, 16317, 763, 3845, 666, 581, 1336, 609, 519, 3845, 4542, 1384, 7712, 2549, 597, 15336, 476, 275, 269, 5325, 5195, 538, 476, 273, 3108, 267, 1010, 3432, 568, 16317, 19400, 713, 3381, 585, 948, 609, 519, 6201, 1657, 780, 2162, 18500, 692, 1892, 634, 20028, 16754, 2829, 602, 2016, 1022, 1079, 2798, 543, 2073, 519, 3845, 1063, 873, 568, 692, 2162, 2871, 3660, 6657, 692, 8340, 782, 2798, 593, 519, 1899, 602, 616, 4010, 476, 279, 4559, 2476, 689, 519, 1448, 11196, 274, 267, 476, 278, 6393, 11405, 692, 4131, 779, 1118, 513, 17250, 540, 519, 2016, 3510, 780, 19352, 1899, 12415, 689, 519, 1448, 11196, 274, 267, 476, 278, 264, 547, 519, 1899, 16317, 4131, 581, 519, 7508, 1871, 540, 649, 616, 5275, 780, 763, 2798, 616, 11196, 280, 269, 2190, 267, 476, 273, 264, 543, 630, 274, 269, 2190, 267, 476, 273, 6393, 2162, 6657, 692, 8340, 519, 3845, 1063, 519, 1079, 2798, 780, 272, 269, 630, 274, 267, 910, 275, 264, 543, 630, 277, 267, 476, 271, 994, 273, 269, 11196, 272, 267, 476, 271, 264, 543, 630, 275, 267, 476, 273, 994, 274, 269, 11196, 274, 267, 476, 273, 264, 543, 630, 277, 267, 476, 273, 994, 275, 269, 630, 271, 269, 276, 267, 910, 273, 269, 276, 264, 543, 630, 275, 267, 910, 275, 994, 276, 269, 630, 1321, 267, 910, 1015, 264, 543, 630, 271, 267, 910, 277, 994, 277, 269, 11196, 276, 267, 910, 274, 264, 543, 11196, 273, 267, 476, 1556, 994, 278, 269, 630, 273, 269, 274, 267, 476, 275, 269, 276, 264, 543, 11196, 274, 269, 275, 267, 910, 276, 269, 273, 994, 279, 269, 4855, 782, 2798, 2348, 606, 11282, 540, 910, 275, 4171, 3845, 689, 519, 1448, 630, 275, 267, 476, 273, 264, 568, 476, 1015, 563, 280, 269, 4855, 782, 2798, 2348, 513, 11282, 540, 476, 274, 4171, 3845, 689, 519, 1448, 11196, 273, 267, 476, 276, 264, 568, 476, 279, 563, 1015, 269, 4855, 1614, 2798, 602, 616, 1142, 476, 1724, 4559, 2476, 689, 519, 1448, 630, 274, 267, 476, 273, 264, 855, 798, 711, 723, 606, 11282, 540, 476, 274, 610, 513, 11282, 540, 476, 273, 780, 8340, 519, 30268, 540, 519, 1899, 10126, 11836, 519, 1079, 2798, 780, 272, 269, 18140, 519, 2798, 543, 1547, 28171, 602, 12730, 543, 616, 21412, 563, 273, 269, 18140, 519, 2798, 8058, 602, 568, 513, 32077, 639, 630, 718, 5011, 616, 3160, 994, 274, 269, 18140, 2798, 4855, 519, 3259, 540, 1142, 2427, 269, 8058, 602, 568, 513, 1318, 6906, 269, 4855, 922, 1858, 563, 275, 269, 4855, 519, 1858, 540, 519, 5858, 609, 4099, 11196, 276, 267, 476, 275, 264, 543, 519, 1448, 593, 519, 5858, 630, 274, 267, 476, 273, 1916, 276, 269, 18466, 548, 16976, 547, 11878, 1200, 11332, 835, 1554, 269, 3689, 1352, 26055, 1200, 11332, 1813, 5045, 585, 476, 1321, 5195, 543, 1287, 519, 4287, 540, 519, 11332, 13009, 2242, 543, 1352, 26055, 538, 519, 1007, 4287, 585, 513, 1247, 3476, 269, 1879, 1352, 13515, 18466, 548, 568, 476, 273, 5195, 5045, 543, 476, 1015, 5195, 7178, 689, 1200, 4358, 1448, 269, 4855, 519, 2698, 3845, 602, 18466, 548, 4988, 689, 1200, 4358, 1448, 780, 2162, 11872, 270, 11947, 7547, 11109, 8373, 286, 7797, 606, 3390, 780, 21760, 31209, 539, 7956, 11872, 0, 258, 27387, 281, 14168, 13392, 6061, 692, 272, 269, 12361, 14168, 13392, 6061, 692, 2252, 519, 5072, 540, 519, 13392, 3830, 630, 320, 1107, 536, 32589, 11054, 1341, 630, 321, 1107, 524, 32589, 1341, 630, 322, 1107, 513, 264, 815, 476, 271, 616, 3160, 267, 6961, 602, 476, 273, 320, 815, 536, 1341, 524, 780, 6202, 267, 713, 835, 781, 2653, 267, 952, 519, 3830, 568, 540, 519, 1106, 16547, 317, 273, 1341, 289, 343, 1341, 290, 284, 271, 1287, 519, 5072, 616, 910, 289, 270, 273, 288, 543, 910, 289, 270, 273, 288, 692, 810, 519, 5072, 616, 1535, 284, 910, 321, 25239, 14370, 273, 320, 268, 273, 321, 264, 543, 1535, 815, 910, 321, 25239, 14370, 273, 320, 268, 273, 321, 2020, 933, 1226, 622, 519, 5072, 547, 476, 272, 1287, 649, 666, 6961, 602, 476, 273, 320, 815, 536, 1341, 524, 855, 1287, 267, 875, 476, 272, 2097, 689, 630, 594, 30316, 8577, 3633, 9215, 661, 12702, 12442, 9215, 476, 272, 1070, 1134, 267, 5225, 948, 692, 273, 269, 19743, 454, 23192, 17397, 676, 4672, 318, 27675, 1356, 454, 933, 1226, 622, 519, 5072, 547, 476, 272, 1287, 649, 666, 6961, 602, 476, 273, 320, 815, 536, 1341, 524, 855, 1287, 267, 875, 476, 272, 2097, 689, 630, 594, 30316, 8577, 3633, 9215, 661, 12702, 12442, 9215, 476, 272, 1070, 1134, 267, 5225, 948, 454, 30860, 602, 4399, 6234, 630, 320, 1532, 9385, 10383, 476, 272, 317, 273, 23444, 321, 2275, 9385, 10383, 476, 272, 25239, 8584, 815, 513, 1532, 17070, 2275, 25239, 8584, 284, 271, 259, 8754, 835, 568, 513, 3597, 540, 519, 9971, 269, 2334, 781, 1946, 835, 814, 4399, 6234, 28363, 2765, 346, 289, 2410, 273, 288, 13157, 272, 16859, 274, 269, 20323, 17397, 676, 4672, 318, 27675, 1356, 454, 2252, 519, 5072, 540, 519, 13392, 3830, 630, 320, 1107, 536, 32589, 11054, 1341, 630, 321, 1107, 524, 32589, 1341, 630, 322, 1107, 513, 264, 815, 476, 271, 616, 3160, 267, 6961, 602, 476, 273, 320, 815, 536, 1341, 524, 780, 6202, 267, 713, 835, 781, 2653, 267, 952, 519, 3830, 568, 540, 519, 1106, 16547, 317, 273, 1341, 289, 343, 1341, 290, 284, 271, 1287, 519, 5072, 616, 910, 289, 270, 273, 288, 543, 910, 289, 270, 273, 288, 692, 810, 519, 5072, 616, 1535, 284, 910, 321, 25239, 14370, 273, 320, 268, 273, 321, 264, 543, 1535, 815, 910, 321, 25239, 14370, 273, 320, 268, 273, 321, 2020, 933, 1226, 622, 519, 5072, 547, 476, 272, 1287, 649, 666, 6961, 602, 476, 273, 320, 815, 536, 1341, 524, 855, 1287, 267, 875, 476, 272, 2097, 689, 630, 594, 30316, 8577, 3633, 9215, 661, 12702, 12442, 9215, 476, 272, 1070, 1134, 267, 5225, 948, 454, 2791, 1223, 1413, 693, 519, 5806, 5364, 540, 519, 3312, 1226, 320, 542, 543, 1305, 621, 3160, 547, 476, 271, 269, 630, 6546, 781, 519, 2783, 585, 1079, 3160, 5072, 24355, 5937, 534, 692, 275, 269, 20323, 17397, 676, 4672, 318, 27675, 1356, 454, 2252, 519, 5072, 540, 519, 13392, 3830, 630, 320, 1107, 536, 32589, 11054, 1341, 630, 321, 1107, 524, 32589, 1341, 630, 322, 1107, 513, 264, 815, 476, 271, 616, 3160, 267, 6961, 602, 476, 273, 320, 815, 536, 1341, 524, 780, 6202, 267, 713, 835, 781, 2653, 267, 952, 519, 3830, 568, 540, 519, 1106, 16547, 317, 273, 1341, 289, 343, 1341, 290, 284, 271, 1287, 519, 5072, 616, 910, 289, 270, 273, 288, 543, 910, 289, 270, 273, 288, 692, 810, 519, 5072, 616, 1535, 284, 910, 321, 25239, 14370, 273, 320, 268, 273, 321, 264, 543, 1535, 815, 910, 321, 25239, 14370, 273, 320, 268, 273, 321, 2020, 933, 1226, 622, 519, 5072, 547, 476, 272, 1287, 649, 666, 6961, 602, 476, 273, 320, 815, 536, 1341, 524, 855, 1287, 267, 875, 476, 272, 2097, 689, 630, 594, 30316, 8577, 3633, 9215, 661, 12702, 12442, 9215, 476, 272, 1070, 1134, 267, 5225, 948, 454, 19686, 476, 272, 281, 630, 18662, 6396, 267, 1805, 571, 697, 3453, 2020, 2252, 519, 5072, 616, 3160, 267, 1287, 519, 5806, 5364, 568, 476, 271, 780, 3383, 692, 7445, 6234, 630, 321, 2275, 8203, 273, 815, 476, 275, 5416, 1532, 7565, 322, 8584, 22491, 7445, 6234, 536, 317, 273, 1341, 524, 317, 273, 910, 273, 25900, 815, 476, 275, 263, 659, 910, 513, 317, 273, 910, 25900, 1341, 705, 22491, 7445, 6234, 476, 275, 320, 317, 273, 1341, 536, 317, 273, 1341, 524, 317, 273, 1341, 476, 273, 25900, 910, 476, 275, 659, 910, 476, 275, 629, 815, 476, 271, 6911, 7445, 6234, 630, 273, 320, 910, 321, 2275, 8203, 273, 815, 476, 271, 6911, 7445, 6234, 476, 273, 320, 910, 321, 2275, 815, 476, 271, 6911, 7445, 6234, 476, 273, 320, 815, 536, 25239, 6911, 19686, 476, 273, 281, 630, 8245, 16980, 267, 661, 5586, 656, 2020, 2171, 1294, 602, 476, 272, 568, 513, 3597, 540, 519, 3830, 2094, 4399, 6234, 630, 320, 1532, 7565, 272, 8203, 273, 1341, 630, 321, 2275, 264, 272, 23444, 322, 8584, 264, 815, 476, 271, 6911, 3383, 952, 519, 5072, 616, 3160, 267, 519, 824, 3597, 849, 1590, 581, 476, 272, 269, 901, 1797, 519, 1587, 540, 519, 5072, 568, 476, 272, 269, 4935, 4399, 6234, 1422, 2765, 26231, 8584, 2410, 320, 1532, 348, 815, 476, 272, 1422, 23976, 524, 8584, 815, 513, 1532, 1422, 23976, 476, 273, 320, 815, 536, 25239, 6911, 276, 269, 20323, 17397, 676, 8038, 902, 9595, 7758, 454, 17098, 692, 30860, 602, 4399, 6234, 630, 320, 1532, 9385, 10383, 476, 272, 317 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 782, 519, 1379, 538, 713, 1158, 1547, 1103, 25360, 332, 476, 4366, 281, 272, 267, 519, 6426, 2829, 281, 4279, 568, 519, 7083, 543, 7494, 581, 26916, 269, 1635, 3571, 1379, 267, 1261, 2813, 519, 1158, 269, 1635, 3571, 1379, 267, 1261, 1852, 519, 1158, 543, 3217, 30128, 1434, 540, 3388, 538, 519, 1158, 454, 18661, 568, 15345, 23036, 2615, 281, 901, 1797, 1261, 1294, 3388, 1547, 18661, 568, 15345, 23036, 2615, 1317, 1261, 12034, 3388, 538, 519, 1158, 269, 1261, 12034, 782, 602, 568, 8345, 538, 519, 1158, 1547, 301, 5847, 568, 6456, 689, 13924, 269, 1261, 6487, 3388, 1547, 3891, 4805, 814, 519, 2407, 1145, 540, 7326, 267, 1620, 543, 1702, 1547, 3674, 320, 11672, 476, 1556, 281, 273, 563, 18661, 568, 15345, 30876, 6974, 281, 901, 1797, 1373, 10876, 693, 782, 942, 269, 2696, 568, 15345, 30876, 6974, 1317, 1261, 568, 10876, 693, 519, 1482, 942, 269, 1261, 568, 538, 646, 1511, 543, 693, 1482, 942, 1261, 568, 593, 3618, 269, 2696, 5143, 13744, 1695, 547, 543, 840, 778, 547, 519, 1004, 540, 27607, 557, 327, 267, 855, 13744, 1695, 10443, 2476, 3206, 602, 646, 1223, 9101, 689, 2696, 269, 1809, 2696, 4718, 1864, 693, 519, 1747, 1141, 646, 1185, 8854, 547, 12404, 563, 18661, 568, 769, 6665, 1043, 281, 901, 1797, 649, 3112, 1294, 13924, 609, 938, 4064, 269, 2696, 568, 15865, 1317, 649, 3112, 1294, 13924, 609, 938, 4064, 1547, 2171, 3112, 1294, 2696, 609, 938, 4064, 1317, 1261, 568, 513, 6891, 1547, 1103, 3627, 476, 275, 281, 2190, 519, 6426, 2829, 968, 18661, 568, 6891, 543, 1346, 945, 10847, 13924, 267, 1590, 10847, 13924, 538, 6891, 543, 5168, 563, 18661, 568, 2648, 281, 901, 1797, 547, 1416, 585, 2576, 269, 2696, 568, 2648, 1317, 1261, 30128, 585, 721, 1547, 18661, 30128, 585, 721, 1317, 1261, 814, 2016, 721, 3388, 649, 991, 269, 670, 1122, 1161, 721, 7326, 267, 1620, 1547, 6781, 913, 782, 267, 2696, 568, 2648, 1317, 1261, 814, 2016, 721, 20778, 865, 602, 649, 1522, 711, 829, 880, 855, 723, 18163, 1272, 1310, 649, 5884, 269, 3627, 476, 274, 281, 1626, 263, 18661, 865, 2648, 519, 1158, 602, 1261, 5795, 721, 3571, 1152, 1917, 13516, 5067, 865, 602, 945, 1197, 11099, 538, 1864, 1522, 711, 829, 880, 855, 723, 18163, 1272, 563, 18661, 568, 10513, 281, 901, 568, 1611, 547, 581, 22233, 281, 2696, 568, 13411, 1317, 1261, 568, 22233, 1547, 2467, 568, 1100, 5609, 13924, 269, 769, 30037, 476, 277, 281, 274, 267, 519, 6426, 3081, 281, 10513, 267, 13411, 267, 13411, 568, 519, 7083, 2696, 540, 14747, 267, 519, 2898, 3618, 568, 2407, 540, 3571, 18710, 563, 15100, 7689, 11872, 2353, 7126, 27616, 476, 1708, 274, 0, 13900, 4771, 2564, 3926, 267, 14453, 267, 543, 595, 4629, 3549, 15407, 6669, 8144, 547, 3914, 2518, 9458, 9108, 543, 3927, 563, 309, 3147, 710, 16627, 616, 513, 2565, 1907, 585, 519, 1382, 543, 1646, 267, 4152, 267, 2504, 267, 543, 3892, 540, 2413, 6377, 6669, 2029, 2066, 4654, 269, 589, 6669, 568, 513, 1826, 540, 23833, 4915, 602, 7512, 519, 4761, 1062, 547, 1628, 606, 4761, 3210, 547, 4339, 1055, 513, 1808, 2068, 269, 901, 568, 12913, 676, 10962, 513, 1507, 851, 540, 519, 2068, 547, 519, 4761, 1062, 865, 621, 666, 1628, 519, 1697, 12489, 547, 4339, 2104, 5563, 267, 4227, 2589, 267, 24896, 267, 543, 9019, 269, 2755, 972, 568, 513, 5318, 1297, 540, 10074, 1142, 5921, 547, 2061, 1114, 3676, 1336, 1472, 519, 1158, 267, 972, 616, 2947, 1292, 12674, 4066, 912, 268, 1677, 343, 1355, 17261, 1149, 454, 268, 1677, 343, 1355, 10074, 616, 10074, 602, 946, 30737, 17300, 13802, 689, 513, 4551, 610, 10351, 547, 5721, 519, 1560, 547, 4431, 547, 519, 25560, 269, 31679, 29104, 568, 606, 1383, 540, 513, 5233, 1355, 6669, 563, 268, 14970, 2311, 1084, 18050, 17261, 1149, 454, 268, 589, 2661, 27408, 1084, 18050, 6669, 3096, 519, 2898, 10351, 282, 2705, 267, 621, 568, 22887, 18050, 630, 528, 18604, 264, 865, 602, 519, 4761, 1062, 666, 1628, 606, 4761, 3210, 1510, 519, 3984, 4742, 2192, 269, 6201, 540, 2661, 22887, 18050, 10074, 1331, 519, 631, 17307, 6669, 267, 543, 10074, 585, 31847, 663, 5835, 8611, 563, 268, 4427, 22780, 1299, 1234, 18474, 5364, 17261, 1149, 454, 268, 4427, 22780, 543, 21921, 5364, 10074, 267, 607, 1134, 607, 31669, 543, 30713, 21839, 728, 10074, 267, 8415, 1808, 4773, 540, 513, 3644, 610, 4551, 630, 3697, 922, 3940, 267, 11503, 573, 267, 610, 4006, 264, 547, 5721, 519, 4761, 1062, 547, 4431, 543, 4339, 1055, 519, 2898, 10351, 952, 7783, 269, 2060, 713, 1826, 540, 6669, 267, 26259, 15833, 616, 2838, 936, 942, 538, 930, 2665, 269, 14300, 1331, 10074, 585, 19690, 543, 22031, 22807, 645, 563, 268, 769, 716, 17300, 17261, 1149, 454, 268, 1323, 30737, 17300, 6669, 568, 513, 1826, 540, 6669, 602, 3096, 513, 2898, 10351, 602, 814, 1044, 2901, 7166, 610, 9168, 865, 621, 568, 8572, 547, 21613, 269, 4595, 519, 10351, 568, 2907, 4666, 267, 891, 10074, 616, 3335, 711, 607, 2500, 607, 2661, 22887, 18050, 10074, 269, 589, 1906, 1806, 540, 30737, 17300, 10074, 616, 519, 2770, 6669, 267, 29811, 267, 543, 29887, 563, 268, 22328, 17261, 1149, 454, 268, 9631, 11748, 10074, 946, 28034, 10717, 630, 332, 11748, 264, 689, 519, 3644, 267, 799, 568, 1500, 883, 513, 10194, 3940, 3330, 519, 1560, 267, 547, 6305, 519, 4761, 1062, 269, 6201, 540, 22328, 10074, 1331, 1978, 5046, 268, 866, 10074, 563, 32381, 540, 519, 1826, 540, 6669, 602, 568, 1373, 2919, 267, 1142, 6669, 3340, 4977, 2564, 8144, 585, 519, 3810, 2930, 6054, 2404, 609, 519, 1382, 543, 1646, 1272, 4783, 269, 769, 1840, 267, 8144, 540, 9431, 6054, 267, 7664, 3435, 585, 2550, 540, 3309, 10080, 267, 543, 3461, 19684, 11044, 585, 4791, 8062, 616, 782, 2565, 585, 6707, 12902, 856, 519, 6669, 543, 26912, 6819, 5095, 1472, 519, 1158, 563, 5425, 302, 10499, 2657, 7070, 1568, 609, 14453, 3549, 267, 595, 4629, 338, 267, 543, 2564, 3926, 4213, 3238, 538, 6669, 1646, 547, 2327, 3811, 14051, 540, 1007, 543, 4540, 6669, 2029, 269, 2060, 938, 4359, 1893, 2029, 267, 1519, 938, 6531, 2861, 2359, 1062, 543, 1804, 2564, 29395, 267, 649, 616, 2111, 547, 8308, 543, 3927, 14377, 6669, 12319, 585, 519, 1655, 2132, 593, 5092, 563, 309, 3147, 710, 11916, 23632, 25927, 725, 454, 32747, 4693, 16627, 616, 606, 7533, 851, 540, 4180, 1617, 13308, 543, 3309, 3461, 6041, 538, 519, 6669, 1646, 1184, 269, 1677, 2327, 519, 3106, 543, 12117, 540, 10074, 267, 6669, 4791, 8062, 2154, 2789, 11775, 609, 8810, 267, 1239, 12454, 2164, 267, 607, 1134, 607, 2123, 6589, 543, 16499, 23888, 689, 2550, 543, 3782, 4600, 602, 519, 2640, 540, 12674, 29387, 1022, 4220, 269, 769, 1840, 267, 14278, 990, 580, 559, 766, 5359, 602, 2697, 1022, 8801, 2680, 630, 288, 19324, 1070, 1519, 3978, 8801, 6547, 630, 306, 2752, 338, 264, 543, 3978, 8801, 2621, 630, 6347, 19324, 264, 2429, 4791, 8062, 543, 3892, 1590, 581, 13006, 883, 519, 3077, 2344, 779, 4013, 1893, 4433, 264, 547, 2327, 9431, 10220, 563, 5425, 302, 10499, 2657, 7070, 2337, 1272, 2257, 3549, 3238, 538, 6669, 1646, 2743, 2199, 9431, 4031, 547, 2327, 3461, 3106, 4441, 269, 1284, 1683, 3728, 543, 1942, 15807, 16627, 585, 782, 11775, 540, 519, 4791, 4693, 1184, 267, 607, 1134, 607, 1489, 6552, 4791, 2090, 998, 15520, 25259, 267, 22297, 10618, 547, 948, 3715, 3972, 1063, 13384, 832, 267, 3173, 267, 13500, 267, 543, 2550, 267, 4543, 5397, 6278, 543, 12802, 563, 9596, 811, 827, 938, 6669, 4791, 4693, 8144, 2533, 563, 21357, 28604, 7896, 454, 2690, 10074, 547, 581, 5963, 3811, 538, 16701, 21899, 2068, 11411, 689, 513, 2551, 267, 513, 1713, 1297, 540, 1004, 1590, 1205, 18764, 547, 2061, 2068, 3262, 269, 901, 1797, 602, 2550, 689, 782, 1893, 18702, 10080, 1590, 581, 3177, 4977, 543, 1164, 7779, 2564, 7664, 2533, 547, 2327, 789, 1174, 519, 1761, 2427, 2360, 602, 1223, 2049, 950, 519, 6669, 568, 3144, 267, 607, 1134, 607, 519, 4220, 2404, 609, 1219, 518, 2590, 519, 6669, 563, 5425, 302, 10499, 2657, 7070, 1568, 609, 1272, 2257, 3549, 3238, 538, 6669, 1382, 543, 1646, 267, 607, 1134, 607, 3906, 3238, 609, 2518, 26912, 1637, 11044, 267, 547, 2327, 602, 2550, 540, 3309, 10080, 1174, 741, 2126, 3681, 543, 4220, 2404, 609, 10074, 269, 1284, 2709, 538, 16512, 607, 1134, 607, 936, 7308, 268, 7483, 543, 3381, 16208, 3435, 585, 3782, 4648, 543, 1272, 2257, 3549, 538, 936, 476, 1911, 4654, 547, 3914, 2550, 540, 3309, 10080, 1472, 519, 1158, 563, 9596, 811, 827, 938, 2564, 7664, 2533, 563, 21357, 11657, 566, 22564, 7896, 454, 309, 3147, 710, 1646, 543, 6725, 3340, 6266, 540, 2564, 12319, 267, 1519, 4791, 4693, 6054, 10452, 4977, 1239, 267, 9431, 10220, 6054, 899, 15766, 1049, 1715, 10684, 630, 18853, 264, 3156, 267, 1587, 21458, 267, 543, 4791, 4693, 2550, 685, 5907, 1072, 5638, 630, 292, 16281, 338, 1040, 2060, 865, 1082, 1114, 2010, 540, 6054, 267, 4180, 4977, 8144, 540, 1142, 835, 568, 16122, 585, 711, 1152, 5870, 7453, 2518, 9431, 4031, 267, 855, 849, 4180, 3461, 3106, 1169, 1900, 540, 519, 1259, 563, 5425, 302, 10499, 2657, 7070, 2337, 14453, 3549, 543, 595, 4629, 338, 9750, 883, 2518, 6990, 2743, 2199, 9431, 1876, 269, 2060, 513, 3060, 540, 936, 476, 1015, 267, 1822, 3318, 267, 538, 28029, 787, 8059, 1235, 543, 2564, 1641, 2339, 4966, 267, 649, 723, 519, 2200, 543, 1995, 547, 8308, 543, 3927, 14377, 6669, 2564, 12319, 538, 476, 7742, 266, 4654, 563, 9596, 811, 827, 938, 2564, 12319, 8144, 2533, 585, 10074, 563, 300, 15412, 5735, 16627, 5512, 1272, 2257, 3549, 547, 1491, 519, 6604, 543, 2126, 540, 17973, 267, 543, 5647, 538, 8762, 5735, 267, 1472, 519, 1158, 269, 31814, 568, 519, 1353, 540, 14471, 267, 1419, 1572, 17973, 267, 1519, 4551, 267, 8290, 267, 13271, 267, 9125, 320, 267, 929, 687, 267, 1486, 9926, 10394, 267, 543, 13479, 269, 5843, 15816, 616, 6594, 2066, 519, 1272, 9443, 267, 689, 7303, 10194, 3676, 609, 10074, 267, 543, 8156, 9190, 5563, 609, 11216, 267, 547, 3395, 6915, 30669, 267, 7114, 4686, 3676, 267, 543, 1620, 519, 1480, 22435, 269, 14171, 891, 1272, 22766, 10124, 689, 519, 2978, 14541, 547, 2550, 2066, 4654, 3340, 4977, 543, 3608, 16627, 2066, 4654, 269, 11483, 302, 10499, 2657, 7070, 11573, 1137, 513, 2518, 2319, 540, 936, 476, 1015, 267, 1822, 1641, 2339, 4966, 543, 8059, 1235, 267, 607, 1134, 607, 10995, 6531, 2861, 8144, 2029, 547, 5838, 1164, 2298, 16627, 585, 1272, 2257, 3549, 267, 27013, 543, 1875, 2889, 22327, 267, 543, 3782, 7426, 2324, 538, 8762, 5735, 563, 9596, 811, 827, 938, 8762, 5735, 16627, 563, 5425, 302, 10499, 2657, 7070, 814, 2919, 513, 1184, 585, 2298, 22059, 547, 2327, 602, 1169, 2564, 8144, 1788, 10742, 2298, 4441, 538, 513, 1942, 15807, 543, 12905, 6073, 269, 1284, 616, 14468, 538, 18869, 476, 14378, 876, 281, 1001, 276, 267, 18869, 476, 12010, 272, 281, 1001, 276, 267, 543, 18869, 476, 16328, 5952, 281, 1001, 277, 547, 2327, 938, 16419, 3435, 2743, 2518, 9431, 4170, 269, 3776, 1641, 2339, 4274, 8059, 1235, 723, 513, 5934, 540, 476, 278, 1296, 685, 1995, 543, 960, 609, 538, 28029, 787, 2689, 619, 543, 1788, 2511, 10274, 547, 2743, 2872, 4441, 269, 1656, 998, 938, 5499, 6531, 2861, 2029, 267, 11483, 302, 10499, 3091, 606, 2228, 8144, 2359, 5117, 585, 835, 3844, 4087, 547, 15407, 1312, 8144, 3965, 607, 1134, 607, 16166, 2359, 538, 1483, 942, 269, 5272, 1900, 540, 519, 1259, 267, 11483, 302, 10499, 814, 596, 4988, 563, 9596, 811, 827, 938, 2298, 22059, 1184, 563, 4415, 936, 476, 736, 1296, 540, 1995, 538, 2564, 8144, 267, 11483, 302, 10499, 2657, 7070, 17358, 519, 2956, 540, 1239, 3354, 547, 938, 7218, 267, 543, 649, 1491, 4986, 585, 11292, 950, 22637, 568, 513, 6161, 269, 3776, 1134, 1673, 29545, 543, 4628, 10250, 762, 1344, 1239, 3354, 4507, 267, 2638, 29812, 267, 543, 2298, 5638, 15407, 1655, 2853, 540, 18869, 476, 17734, 4905, 267, 543, 616, 2966, 547, 1832, 3388, 689, 2707, 1239, 547, 16627, 6870, 269, 3245, 938, 476, 2190, 270, 278, 270, 18458, 1239, 5464, 543, 4359, 14238, 547, 938, 1569, 1852, 3800, 267, 596, 666, 581, 1978, 602, 707, 1788, 1239, 568, 2922, 689, 1376, 547, 9096, 563, 9596, 811, 827, 875, 11483, 302, 10499 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2005, 568, 1271, 547, 26924, 602, 1053, 1174, 519, 6863, 1031, 538, 513, 23907, 610, 20341, 1362, 269, 634, 968, 290, 10984, 545, 16301, 892, 17948, 6227, 1455, 16166, 1031, 538, 513, 23907, 1362, 1519, 281, 10036, 267, 23907, 267, 22786, 267, 12311, 3101, 267, 8930, 4221, 267, 1071, 4979, 267, 18176, 267, 17277, 267, 28973, 267, 20341, 8868, 267, 16463, 3620, 731, 267, 3039, 2264, 267, 5642, 1673, 787, 267, 29137, 267, 20590, 267, 20312, 4302, 267, 1350, 10270, 267, 543, 6149, 2264, 269, 10558, 532, 2596, 23907, 6863, 607, 513, 11000, 568, 513, 2656, 1259, 547, 3382, 513, 2603, 540, 1344, 538, 513, 2110, 2179, 540, 942, 269, 901, 568, 3501, 547, 946, 593, 519, 1101, 1554, 540, 513, 23907, 1148, 1362, 610, 693, 519, 1376, 540, 513, 10036, 9322, 693, 519, 1164, 1153, 1377, 269, 901, 23407, 3758, 3758, 2882, 519, 595, 10984, 545, 16301, 17948, 11000, 267, 513, 7824, 3992, 1544, 267, 543, 513, 7824, 540, 513, 23907, 2474, 4976, 585, 519, 1053, 547, 2347, 563, 2304, 577, 528, 9208, 476, 276, 281, 3763, 543, 13217, 7499, 2553, 543, 960, 585, 6881, 563, 8893, 20638, 281, 4841, 786, 581, 2111, 547, 5581, 17375, 1644, 2474, 563, 8893, 11314, 281, 4841, 786, 1491, 4967, 1282, 513, 11000, 563, 29605, 281, 968, 290, 10984, 545, 16301, 892, 17948, 543, 4063, 28013, 454, 24066, 6672, 281, 634, 14357, 786, 2638, 547, 1294, 602, 519, 1053, 6192, 741, 4967, 454, 11742, 281, 476, 272, 4147, 0, 1607, 1587, 3568, 10526, 585, 1142, 2101, 3791, 3446, 6824, 3044, 543, 513, 6824, 3014, 585, 2875, 2689, 543, 2259, 269, 1411, 666, 946, 713, 1587, 547, 7110, 707, 6824, 1770, 543, 2708, 707, 1053, 262, 1620, 563, 268, 272, 20803, 8454, 4879, 454, 268, 272, 9236, 8454, 4879, 454, 268, 272, 6697, 8454, 4879, 454, 268, 272, 8454, 593, 513, 1297, 1899, 4879, 454, 268, 272, 9236, 8454, 3014, 454, 8923, 2015, 1739, 1250, 4558, 269, 594, 3513, 2022, 513, 1007, 1863, 1587, 585, 1142, 1305, 540, 476, 1839, 1007, 13794, 256, 0, 1607, 19347, 5295, 8672, 568, 1390, 1259, 547, 6338, 519, 13777, 584, 605, 3832, 269, 634, 1101, 1079, 15942, 2270, 513, 13801, 7778, 267, 543, 1985, 476, 2420, 15942, 1450, 1053, 547, 2259, 519, 2497, 269, 3962, 2259, 13472, 3568, 513, 26841, 540, 1945, 827, 547, 4755, 267, 585, 1383, 513, 27460, 26405, 593, 519, 4358, 7161, 267, 609, 513, 2243, 2059, 519, 3515, 540, 834, 3674, 24527, 4881, 286, 834, 634, 1053, 1287, 2328, 834, 5591, 267, 24527, 568, 2469, 547, 2196, 2668, 2991, 789, 5635, 741, 4267, 609, 513, 7649, 267, 609, 513, 4945, 267, 519, 4116, 2306, 519, 2626, 2408, 269, 634, 5961, 593, 519, 15942, 1683, 3308, 2796, 547, 2333, 8223, 543, 12802, 269, 0, 16498, 17270, 910, 10432, 476, 275, 281, 7913, 543, 1323, 11530, 594, 23860, 13335, 454, 2316, 307, 4041, 281, 15571, 28523, 564, 454, 291, 12442, 281, 5239, 476, 1001, 277, 454, 2562, 22552, 308, 6311, 27633, 281, 5484, 8752, 1341, 8751, 594, 2998, 324, 454, 4263, 1101, 267, 594, 1616, 547, 1118, 513, 3684, 602, 9356, 513, 4743, 540, 513, 24949, 1268, 538, 1114, 7653, 912, 272, 269, 4495, 538, 513, 15624, 267, 1346, 945, 1745, 24949, 616, 3742, 267, 789, 616, 11235, 547, 1205, 8068, 267, 865, 519, 5925, 786, 1769, 909, 609, 519, 2575, 11733, 269, 1879, 2576, 15211, 998, 621, 267, 621, 786, 2746, 547, 1010, 2962, 543, 17967, 519, 19215, 563, 273, 269, 4495, 972, 568, 1152, 835, 1268, 610, 1152, 519, 5925, 4805, 267, 519, 1769, 786, 2490, 3043, 1397, 519, 6418, 4708, 267, 899, 513, 1353, 17689, 593, 1250, 11380, 269, 700, 821, 569, 568, 711, 4411, 269, 1677, 803, 267, 621, 568, 12560, 609, 513, 2178, 4743, 547, 2911, 563, 3719, 519, 4743, 540, 24949, 568, 4657, 607, 649, 1332, 9972, 563, 2252, 519, 9997, 540, 519, 5925, 568, 1762, 267, 799, 568, 6417, 676, 519, 5679, 984, 2676, 272, 269, 519, 1769, 568, 6793, 982, 9972, 454, 273, 269, 11207, 2170, 609, 3755, 685, 2962, 454, 274, 269, 519, 10047, 540, 19215, 568, 3728, 543, 2178, 454, 21930, 9997, 568, 10069, 545, 543, 8049, 827, 519, 3544, 1158, 454, 1278, 3772, 267, 799, 1797, 267, 519, 9997, 540, 519, 5925, 568, 2025, 2676, 272, 269, 519, 1769, 568, 3897, 454, 273, 269, 3006, 621, 25998, 609, 3755, 267, 3006, 621, 4465, 1406, 269, 2107, 621, 23465, 609, 513, 20868, 1259, 267, 899, 4351, 2242, 269, 898, 1797, 602, 649, 2490, 547, 2263, 3330, 3079, 540, 3544, 1158, 563, 15578, 674, 2562, 3201, 20796, 298, 454, 5415, 3877, 543, 21753, 1184, 666, 581, 1336, 1934, 563, 5475, 594, 8737, 519, 2978, 267, 519, 5547, 267, 543, 519, 26456, 267, 594, 1336, 621, 2182, 547, 1118, 1614, 7317, 2621, 6198, 538, 835, 1982, 267, 799, 568, 6198, 538, 9674, 3292, 269, 1924, 594, 1589, 519, 2009, 2601, 568, 602, 1312, 519, 3026, 565, 539, 4174, 701, 543, 476, 1428, 11899, 2890, 1425, 334, 991, 5007, 1379, 3761, 269, 1809, 519, 1966, 2760, 4951, 950, 594, 729, 3257, 519, 1449, 2978, 563, 2467, 616, 930, 824, 2042, 594, 1336, 950, 594, 729, 1818, 519, 5925, 912, 268, 634, 1425, 334, 795, 580, 3022, 256, 594, 723, 547, 4188, 519, 2039, 689, 630, 271, 267, 9692, 264, 547, 630, 1789, 267, 5611, 264, 547, 3247, 519, 795, 24513, 1782, 563, 268, 634, 29724, 303, 1460, 1564, 3006, 1025, 22075, 563, 268, 5637, 519, 3059, 5649, 543, 12746, 5649, 666, 1224, 519, 623, 7644, 9300, 3977, 454, 268, 1946, 1281, 519, 28416, 9074, 991, 606, 3403, 30720, 888, 268, 835, 18292, 540, 1250, 5839, 2141, 4951, 519, 17079, 1767, 519, 2823, 729, 4636, 0, 1692, 798, 11285, 19174, 798, 621, 286, 1215, 798, 789, 2087, 20194, 4974, 286, 1215, 798, 789, 4308, 609, 519, 21140, 543, 13253, 7915, 538, 5665, 609, 476, 1839, 1028, 9285, 5640, 538, 1142, 3992, 888, 12421, 14260, 26060, 14357, 19829, 3627, 700, 965, 3757, 13187, 602, 11000, 3464, 685, 7326, 540, 1018, 789, 798, 568, 9247, 512, 659, 527, 543, 1102, 18526, 29144, 269, 1282, 713, 19545, 267, 646, 1253, 2812, 519, 9759, 1685, 585, 11000, 4055, 3610, 563, 19352, 532, 693, 519, 1283, 1451, 593, 27380, 267, 646, 14592, 519, 519, 1034, 1271, 2093, 540, 2866, 543, 4974, 267, 543, 15225, 875, 789, 2811, 12261, 883, 1685, 9001, 9758, 11000, 4055, 1806, 269, 1261, 3746, 2478, 602, 18997, 2994, 723, 547, 581, 513, 851, 540, 606, 3710, 2987, 1505, 267, 538, 1931, 602, 789, 616, 15983, 1713, 543, 3142, 827, 4974, 269, 782, 998, 267, 646, 6920, 875, 19174, 666, 723, 5872, 741, 5640, 538, 2081, 538, 799, 1711, 513, 3020, 2048, 928, 539, 547, 917, 8730, 543, 513, 6999, 547, 1020, 883, 18512, 6267, 563, 1432, 3318, 11000, 3464, 1684, 568, 585, 19174, 945, 616, 3168, 547, 2490, 883, 9425, 8737, 9439, 563, 1607, 568, 513, 12913, 543, 6098, 2606, 11114, 1837, 543, 1893, 4974, 10189, 563, 298, 17671, 568, 1631, 519, 6957, 18818, 1034, 1134, 2000, 27419, 1893, 6026, 693, 1977, 9945, 269, 901, 1007, 4528, 540, 9296, 6088, 11114, 267, 519, 1292, 3003, 543, 2027, 2606, 11114, 1837, 547, 581, 1185, 267, 20476, 1622, 4358, 887, 758, 625, 540, 11114, 1169, 3364, 789, 1058, 1353, 519, 1893, 6707, 269, 5140, 585, 513, 1101, 4458, 6280, 7400, 4287, 946, 610, 585, 519, 14628, 1893, 15226, 269, 3143, 3105, 7326, 540, 519, 1893, 568, 1271, 563, 763, 1007, 2497, 267, 1631, 609, 19421, 540, 12383, 267, 3091, 11114, 6863, 543, 11114, 8239, 538, 606, 3489, 762, 543, 2649, 1043, 1629, 6756, 712, 6466, 3376, 7391, 543, 23736, 5351, 547, 32433, 519, 11114, 1893, 543, 4020, 6313, 543, 6947, 8223, 563, 1607, 4528, 2882, 912, 268, 1323, 12463, 274, 8301, 7131, 543, 8149, 3896, 563, 268, 14547, 543, 5458, 569, 13857, 1806, 609, 4195, 12383, 563, 268, 1808, 2943, 593, 1700, 23855, 673, 8239, 4967, 267, 9645, 1603, 23736, 609, 606, 18913, 6571, 1883, 563, 268, 2189, 1806, 540, 9758, 5188, 563, 268, 5458, 569, 2930, 8239, 4967, 563, 268, 6266, 540, 1603, 2259, 563, 291, 658, 690, 1132, 267, 16208, 5931, 267, 543, 2854, 23736, 616, 538, 670, 836, 592, 267, 519, 11114, 9904, 267, 865, 5640, 616, 3728, 538, 513, 2990, 547, 1451, 543, 2328, 9758, 11114, 269, 20233, 1229, 5049, 616, 2966, 547, 4020, 593, 835, 1776, 267, 1818, 11114, 4674, 1652, 547, 7443, 689, 519, 1034, 1134, 2000, 27419, 2606, 11114, 1893, 1837, 547, 581, 1185, 269, 11368, 568, 513, 15428, 8301, 7131, 602, 568, 4543, 1007, 9812, 547, 2911, 899, 513, 2199, 267, 543, 606, 4950, 1685, 851, 538, 519, 1576, 540, 519, 2852, 540, 3703, 12052, 799, 666, 5351, 5640, 547, 4324, 11114, 1256, 2250, 519, 3817, 540, 713, 27412, 269, 538, 13076, 609, 519, 6752, 762, 5678, 3919, 267, 27350, 538, 11114, 538, 1977, 9945, 568, 3395, 547, 581, 3533, 563, 1729, 581, 1185, 14350, 568, 519, 1713, 824, 16504, 11114, 4518, 1504, 269, 713, 6225, 23519, 786, 948, 596, 538, 2324, 2509, 543, 8325, 2287, 707, 11114, 1893, 5759, 269, 1142, 835, 3992, 7110, 725, 519, 7222, 3992, 1369, 519, 1837, 269, 1703, 616, 4557, 3527, 5812, 609, 3992, 267, 3246, 513, 1297, 540, 13467, 543, 1685, 7399, 547, 4217, 596, 547, 538, 1140, 8724, 13007, 538, 3232, 267, 17187, 11114, 563, 3528, 28574, 320, 717, 984, 601, 454, 24836, 706, 566, 32124, 3884, 1405, 519, 1482, 607, 519, 16311, 2094, 621, 6799, 513, 1900, 676, 1900, 8265, 4786, 585, 6707, 12003, 609, 20194, 2123, 10211, 7963, 543, 2348, 513, 19311, 13075, 19824, 269, 855, 267, 621, 779, 8499, 8746, 269, 519, 17122, 1448, 568, 1454, 1447, 593, 15093, 543, 3063, 593, 1631, 711, 9561, 6666, 267, 865, 3988, 666, 3251, 2362, 2729, 6466, 9878, 1055, 7963, 563, 763, 1433, 781, 1543, 1570, 568, 8237, 883, 1507, 1016, 21827, 6322, 4724, 891, 8405, 11546, 788, 538, 20194, 7963, 269, 634, 1786, 6143, 540, 1169, 851, 2306, 519, 19545, 7558, 1043, 547, 1004, 945, 5749, 1406, 11630, 547, 3077, 741, 7482, 269, 22419, 616, 6273, 547, 798, 865, 3268, 13380, 547, 12423, 17890, 3765, 31419, 20194, 12029, 602, 1223, 723, 1279, 2250, 883, 9949, 267, 15388, 2724, 4566, 789, 1223, 1265, 519, 2724, 585, 267, 19597, 908, 12029, 1247, 621, 568, 5100, 547, 1491, 2962, 267, 9494, 6666, 593, 10438, 856, 543, 14770, 625, 267, 7393, 17099, 16863, 267, 17408, 1136, 741, 7963, 3562, 13867, 12753, 602, 781, 1185, 547, 6718, 513, 2777, 267, 7234, 741, 20194, 2123, 10211, 543, 1875, 24713, 550, 20251, 7963, 609, 741, 2101, 1866, 563, 10843, 519, 9133, 540, 519, 552, 26247, 3988, 1522, 581, 693, 519, 8265, 547, 7231, 609, 782, 741, 7963, 543, 2348, 811, 6666, 585, 16314, 15143, 543, 1114, 11791, 8631, 267, 1932, 269, 2999, 335, 270, 11417, 283, 9915, 3198, 1362, 284, 327, 274, 10233, 285, 1692, 547, 26777, 16159, 2123, 10211, 7482, 609, 1100, 15049, 1154, 2659, 15894, 9572, 9915, 3198, 11417, 8649, 7571, 7721, 5477, 1543, 1570, 689, 519, 5856, 2999, 335, 270, 285, 14221, 707, 17099, 786, 1491, 513, 19911, 22567, 4685, 585, 1346, 945, 522, 2466, 5313, 20194, 2123, 10211, 7482, 286, 2659, 17099, 4465, 1406, 581, 546, 532, 539, 538, 2013, 596, 2012, 707, 2123, 10211, 1425, 545, 518, 543, 20618, 585, 513, 5618, 2638, 1065, 4471, 557, 269, 2999, 335, 270, 285, 1548, 3268, 798, 596, 1616, 547, 1205, 8560, 540, 606, 2300, 4310, 9000, 689, 1818, 7482, 286, 2999, 335, 270, 285, 476, 272, 269, 3503, 1524, 707, 829, 3923, 24723, 543, 707, 829, 13977, 2395, 2707, 540, 8907, 593, 513, 3787, 540, 1957, 269, 2659, 20251, 1425, 545, 518, 4422, 547, 991, 547, 9787, 1946, 596, 6999, 513, 9702, 689, 20194, 2123, 10211, 7482, 269, 2999, 335, 270, 285, 476, 273, 269, 3131, 2224, 519, 6498, 540, 4065, 779, 610, 707, 1425, 545, 518, 779, 3135, 547, 960, 856, 952, 972, 616, 1978, 5301, 621, 781, 2009, 596, 3513, 20618, 585, 513, 1942, 9702, 13380, 547, 7952, 15298, 610, 596, 2461, 13059, 547, 642, 1513, 640, 269, 1411, 3580, 12398, 519, 2453, 17246, 30970, 543, 1219, 518, 618, 269, 1346, 616, 519, 2453, 1031, 585, 606, 13931, 1098, 3218, 640, 9702, 689, 13927, 269, 519, 8390, 1851, 519, 476, 273, 568, 602, 1282, 1219, 518, 618, 519, 979, 26404, 269, 666, 2628, 519, 7279 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 8080, 547, 606, 3078, 3460, 998, 519, 1158, 540, 4915, 256, 4653, 649, 786, 2263, 1018, 621, 3217, 547, 1831, 513, 4387, 543, 948, 1004, 950, 789, 616, 7210, 269, 1284, 2811, 2469, 547, 4685, 883, 1945, 1572, 834, 11586, 7034, 2437, 799, 6763, 585, 25328, 540, 6925, 267, 25328, 540, 17889, 269, 901, 568, 513, 2027, 1826, 540, 2852, 4110, 602, 11414, 596, 3388, 596, 991, 547, 917, 827, 2921, 1416, 540, 2550, 945, 616, 2192, 610, 13676, 269, 2913, 781, 2736, 1524, 713, 4241, 2361, 1927, 2439, 5331, 1373, 2111, 547, 12115, 2576, 781, 16398, 267, 10826, 3676, 267, 610, 1256, 4688, 2729, 14693, 256, 2334, 1223, 581, 707, 2104, 952, 596, 6430, 547, 1353, 15406, 7034, 269, 1809, 1101, 267, 1577, 781, 1174, 1018, 519, 1982, 14122, 269, 1879, 596, 18934, 538, 606, 15406, 7034, 1982, 267, 596, 2253, 1565, 827, 519, 1480, 1560, 543, 922, 3252, 269, 1411, 3513, 3605, 875, 938, 8219, 960, 14350, 543, 607, 851, 540, 513, 1950, 1062, 780, 2414, 1376, 609, 267, 972, 781, 513, 3296, 1572, 519, 834, 2181, 12641, 25766, 5123, 1701, 6056, 540, 713, 607, 3478, 547, 917, 519, 2679, 7161, 540, 938, 4703, 269, 1280, 1383, 267, 596, 3513, 1353, 589, 2793, 307, 6865, 312, 1107, 519, 2497, 540, 519, 1480, 1560, 269, 5994, 3843, 547, 4368, 513, 1286, 1510, 6616, 782, 922, 2694, 282, 13974, 267, 7189, 1590, 1174, 1169, 5642, 267, 4887, 267, 8229, 267, 543, 1418, 3330, 721, 269, 3973, 2501, 19739, 8016, 4047, 300, 8780, 23802, 267, 1141, 596, 5490, 883, 519, 3114, 3157, 8345, 1369, 938, 2281, 269, 14936, 267, 11682, 312, 10485, 13256, 6227, 875, 938, 15629, 1949, 1599, 543, 2226, 10103, 780, 9202, 909, 568, 519, 834, 1706, 320, 12641, 25766, 5123, 1701, 3767, 602, 596, 2811, 5432, 609, 519, 2596, 3334, 1577, 781, 1847, 4464, 547, 1620, 1018, 4523, 950, 1919, 979, 4636, 269, 623, 26059, 13256, 568, 519, 1353, 540, 2068, 1107, 1946, 543, 875, 798, 789, 2049, 286, 1548, 2242, 4755, 3330, 519, 1560, 1282, 4576, 286, 631, 2975, 4629, 10292, 13256, 12857, 596, 547, 6263, 2713, 7068, 971, 607, 4551, 543, 8290, 602, 3006, 2014, 8373, 855, 849, 1404, 1898, 5107, 538, 5329, 721, 2635, 269, 8921, 267, 11682, 2752, 300, 3722, 13256, 2337, 596, 10146, 6527, 1107, 875, 1114, 5061, 1860, 938, 4703, 543, 1521, 1585, 2175, 269, 1656, 6368, 267, 11123, 27602, 2975, 32212, 2975, 12114, 3947, 5813, 883, 3656, 3344, 540, 4915, 267, 1419, 1031, 538, 6061, 10963, 5473, 7063, 610, 2669, 780, 7661, 267, 519, 1034, 13858, 851, 19179, 1080, 910, 519, 834, 30570, 5123, 10590, 32027, 782, 1346, 6436, 883, 2259, 256, 16514, 3054, 2324, 7258, 4810, 7189, 267, 9683, 10506, 267, 5870, 1483, 2550, 267, 543, 11543, 3946, 6823, 1995, 8156, 4890, 2665, 896, 15569, 269, 3414, 891, 2833, 267, 596, 3513, 1332, 811, 8746, 538, 23235, 543, 5883, 1072, 2152, 780, 2304, 15406, 7034, 4110, 3335, 3340, 2947, 543, 513, 3368, 1296, 540, 2182, 960, 543, 11428, 269, 2991, 11264, 707, 2090, 267, 596, 949, 3442, 547, 2417, 3986, 707, 1983, 676, 13197, 2362, 2069, 538, 1808, 2127, 540, 1719, 267, 899, 4742, 513, 2295, 11285, 630, 25205, 328, 6048, 1070, 2634, 4274, 630, 10468, 9951, 626, 1070, 610, 2860, 11001, 630, 4002, 322, 6048, 1040, 1703, 616, 3875, 3255, 7996, 585, 1346, 13730, 827, 4543, 1866, 2087, 741, 8171, 780, 3383, 1934, 729, 1175, 513, 14229, 752, 32708, 883, 519, 9159, 7706, 540, 2564, 9443, 269, 5457, 267, 3025, 6238, 12341, 267, 865, 1810, 1405, 21183, 2476, 689, 29681, 2462, 543, 3695, 4610, 602, 10161, 596, 269, 5808, 6487, 286, 9320, 835, 1554, 267, 596, 3513, 5957, 519, 3043, 10359, 543, 1689, 2729, 607, 513, 6131, 3782, 8502, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 12749, 15406, 7034, 30793, 2471, 538, 3127, 476, 1708, 274, 281, 15406, 7034, 568, 513, 20277, 781, 4110, 538, 2564, 2257, 602, 4481, 9388, 609, 4915, 543, 6391, 269, 898, 568, 2808, 835, 540, 519, 1655, 3318, 5232, 676, 1053, 267, 607, 621, 3091, 519, 22059, 540, 513, 3318, 4876, 952, 519, 10457, 723, 4607, 741, 4110, 689, 835, 540, 519, 1283, 15406, 7034, 12621, 538, 3127, 269, 634, 10457, 666, 849, 11654, 741, 4487, 781, 630, 13270, 270, 5960, 264, 689, 519, 1655, 2564, 12621, 538, 3127, 267, 2059, 609, 930, 540, 519, 26885, 6030, 563, 763, 15406, 7034, 1576, 2356, 814, 513, 8653, 540, 476, 276, 269, 276, 1296, 267, 1519, 835, 1032, 540, 16601, 22631, 1222, 269, 634, 1576, 568, 5258, 883, 840, 12641, 25766, 267, 16948, 12641, 25766, 267, 543, 4791, 11775, 267, 1142, 16030, 1896, 5033, 22246, 693, 519, 1283, 15406, 7034, 30793, 2471, 538, 3127, 269, 4438, 519, 840, 12641, 25766, 5123, 267, 1053, 1451, 5396, 899, 22845, 267, 4437, 17190, 267, 543, 25665, 269, 634, 16948, 12641, 25766, 5123, 6212, 593, 5396, 899, 11202, 1108, 267, 31814, 267, 24103, 1108, 267, 543, 5983, 14750, 6925, 269, 634, 4791, 5123, 3322, 4791, 2022, 902, 538, 1585, 13623, 267, 1651, 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, 2473, 4456, 299, 281, 589, 5295, 995, 13207, 541, 894, 5678, 585, 8490, 14871, 3955, 5865, 609, 1547, 25892, 692, 1103, 2221, 781, 1158, 540, 3301, 1646, 267, 2870, 11617, 13267, 543, 7317, 3593, 17103, 814, 1831, 5051, 1271, 269, 901, 991, 814, 3366, 547, 519, 11944, 540, 3616, 541, 894, 4654, 899, 2473, 4456, 299, 630, 15761, 839, 1043, 13335, 4460, 1575, 5678, 1070, 799, 14458, 30892, 1374, 1247, 7175, 9367, 547, 1711, 21950, 2833, 269, 769, 713, 1576, 1770, 267, 649, 5490, 883, 2473, 4456, 299, 267, 3695, 875, 621, 13352, 1369, 519, 1547, 25892, 5117, 543, 7234, 1655, 2853, 585, 1210, 621, 3927, 780, 8139, 2473, 4456, 299, 454, 2411, 14945, 4263, 922, 4295, 267, 2473, 4456, 299, 568, 513, 1665, 1575, 1893, 2966, 4481, 585, 2679, 3593, 17103, 269, 898, 729, 7620, 5189, 7258, 8837, 19809, 7690, 630, 310, 303, 293, 264, 538, 1547, 25892, 17563, 476, 274, 269, 271, 267, 3850, 9367, 547, 5094, 3308, 2609, 689, 3009, 7954, 269, 4595, 1287, 267, 2473, 4456, 299, 814, 1044, 7550, 2066, 2789, 5867, 971, 607, 17629, 8837, 25957, 630, 308, 310, 303, 1070, 18234, 2775, 267, 543, 2473, 600, 18288, 22553, 780, 311, 7876, 17943, 454, 29603, 6524, 11362, 4514, 883, 2473, 4456, 299, 267, 1577, 781, 2689, 930, 1898, 24701, 3741, 269, 24701, 6763, 585, 6987, 839, 1043, 4460, 1575, 5678, 267, 513, 13387, 3898, 1031, 547, 3560, 1239, 1063, 1949, 269, 6206, 3344, 540, 24701, 1331, 16776, 267, 10305, 267, 543, 21712, 2497, 1384, 265, 2878, 30475, 4995, 15689, 616, 11303, 676, 6679, 2387, 283, 324, 2211, 285, 319, 543, 14656, 2387, 9572, 324, 2211, 285, 319, 16776, 269, 2368, 2609, 949, 581, 1582, 12641, 3151, 952, 789, 2270, 1100, 1126, 9136, 267, 552, 3052, 1421, 2387, 283, 1467, 29451, 319, 563, 265, 2878, 16920, 1026, 2373, 4995, 16952, 1344, 827, 606, 3693, 666, 581, 3177, 3842, 1883, 17032, 8424, 20583, 1369, 519, 1376, 11090, 267, 9674, 676, 606, 11224, 1129, 267, 552, 3052, 1421, 2387, 283, 5550, 4120, 8700, 6889, 1911, 257, 4463, 6889, 2004, 257, 29451, 319, 563, 265, 2878, 295, 1512, 8944, 4995, 15689, 666, 9566, 3330, 824, 2609, 267, 8108, 513, 3529, 6438, 2497, 602, 4564, 3347, 1063, 3615, 780, 2162, 11588, 540, 4635, 2473, 4456, 299, 692, 3528, 16107, 891, 24701, 9238, 267, 2473, 4456, 299, 2488, 1896, 5383, 950, 8888, 772, 3674, 1384, 272, 269, 2878, 5719, 743, 541, 894, 16105, 4995, 3763, 619, 4766, 1018, 1058, 2408, 593, 5496, 1510, 28408, 9041, 6011, 318, 547, 11904, 621, 269, 901, 9668, 2636, 9858, 547, 1445, 9003, 593, 5920, 267, 5355, 5698, 1063, 6887, 563, 273, 269, 2878, 10574, 11006, 4995, 2473, 4456, 299, 7028, 3532, 1079, 17574, 1239, 12622, 902, 1063, 30892, 3334, 543, 5817, 2070, 3631, 267, 4227, 15245, 30066, 3009, 2838, 547, 15222, 1125, 1533, 2242, 563, 274, 269, 2878, 3725, 639, 1464, 4995, 2060, 8766, 12381, 267, 2473, 4456, 299, 6119, 666, 581, 3838, 2066, 3785, 610, 1256, 5867, 267, 23960, 3498, 1646, 9979, 563, 275, 269, 2878, 24058, 22456, 5610, 4995, 9786, 781, 17514, 1222, 9517, 292, 3091, 7347, 1489, 585, 11049, 543, 3181, 19982, 2473, 4456, 299, 267, 3246, 2934, 899, 2271, 22088, 306, 1619, 543, 2661, 12744, 780, 2162, 2598, 4167, 532, 513, 11822, 2473, 4456, 299, 7151, 692, 4131, 781, 4983, 513, 3551, 1383, 11744, 2596, 2473, 4456, 299, 21437, 912, 3499, 343, 6447, 454, 283, 17273, 454, 825, 1535, 281, 12218, 6889, 7343, 272, 8160, 664, 17273, 4840, 825, 1535, 6447, 985, 6889, 10674, 2517, 2675, 1335, 553, 6230, 2222, 7809, 2593, 270, 7773, 325, 343, 270, 1220, 277, 24474, 600, 331, 9706, 19948, 4840, 825, 1535, 6447, 985, 281, 343, 6889, 10674, 2517, 2675, 1335, 553, 6230, 2222, 7809, 2593, 270, 7773, 325, 343, 270, 1220, 277, 24474, 600, 331, 4840, 825, 1535, 6447, 985, 281, 29985, 6889, 6748, 281, 7343, 272, 4840, 825, 17461, 6889, 346, 763, 1889, 4910, 1830, 13335, 17273, 25889, 763, 1889, 27778, 2313, 348, 22969, 692, 825, 2999, 294, 5090, 11417, 1038, 2999, 17806, 28343, 7956, 6889, 15916, 267, 2622, 10590, 674, 2632, 23917, 6889, 2190, 257, 21222, 7267, 2704, 9892, 6889, 290, 10938, 257, 26432, 2704, 9892, 6889, 290, 10938, 257, 270, 11417, 825, 21742, 294, 5090, 11417, 9572, 17273, 11417, 8199, 1607, 6256, 11225, 513, 2241, 2985, 5627, 513, 2582, 10704, 1257, 3625, 18071, 834, 15916, 267, 2622, 256, 2668, 1284, 5469, 1896, 1007, 2035, 1934, 1384, 265, 2878, 301, 1868, 335, 2167, 4995, 18780, 10628, 8847, 693, 519, 1283, 1450, 721, 547, 4704, 1585, 8021, 267, 1519, 2688, 3283, 3989, 12725, 269, 1280, 3236, 267, 2387, 343, 6447, 985, 281, 29985, 319, 6087, 26159, 2199, 5049, 1369, 938, 1788, 563, 265, 2878, 305, 2393, 3693, 4995, 3962, 2473, 4456, 299, 3758, 1590, 5581, 513, 3597, 3693, 267, 3335, 8204, 513, 8708, 1852, 16475, 824, 1016, 3887, 6123, 269, 3371, 267, 519, 3597, 3693, 568, 513, 2387, 17273, 12452, 10834, 602, 713, 3758, 6257, 513, 1796, 29671, 6885, 563, 265, 2878, 19187, 2906, 4995, 16544, 1305, 593, 2609, 946, 1225, 569, 25329, 630, 346, 16585, 547, 20301, 3959, 1871, 7215, 269, 1452, 1522, 4125, 11979, 2200, 267, 1826, 4780, 1562, 267, 610, 1665, 1575, 24909, 780, 2162, 10289, 11628, 16610, 692, 2026, 3156, 1332, 1950, 267, 3606, 2473, 4456, 299, 7207, 6961, 16832, 1384, 2971, 4578, 16574, 908, 692, 10574, 8509, 908, 13071, 9367, 5581, 875, 1808, 2010, 1058, 581, 21235, 950, 3808, 547, 30892, 8060, 269, 1635, 19459, 6881, 4145, 689, 1870, 7954, 267, 17074, 2327, 11007, 2429, 606, 813, 1247, 5009, 2226, 1464, 780, 2690, 1383, 267, 2015, 17021, 513, 4015, 540, 3688, 538, 513, 5903, 8698, 912, 3499, 343, 6447, 454, 283, 8266, 8698, 27294, 13126, 6889, 346, 289, 4193, 4658, 348, 257, 11417, 825, 2999, 8266, 8698, 20193, 655, 307, 6374, 622, 11417, 1038, 2999, 10574, 307, 6374, 622, 11417, 2018, 2999, 1805, 871, 32292, 601, 18112, 550, 566, 6889, 295, 528, 714, 7267, 257, 11417, 3546, 2999, 15862, 11905, 6889, 346, 289, 4193, 12005, 21589, 331, 348, 257, 27551, 6889, 2004, 257, 654, 5954, 6889, 2004, 257, 270, 11417, 3546, 2999, 17806, 28343, 7956, 6889, 346, 289, 4193, 8745, 348, 257, 12540, 514, 29381, 6889, 1015, 257, 270, 11417, 2018, 21742, 1805, 871, 32292, 601, 11417, 1038, 21742, 10574, 307, 6374, 622, 11417, 825, 21742, 8266, 8698, 20193, 655, 307, 6374, 622, 11417, 9572, 8266, 8698, 11417, 8199, 2080, 267, 649, 4051, 519, 5903, 8698, 547, 5352, 606, 30014, 307, 6374, 622, 585, 1142, 6221, 538, 519, 3808, 2387, 10144, 319, 4015, 269, 10738, 713, 10959, 267, 649, 12432, 606, 3239, 543, 2012, 2427, 8386, 20933, 267, 4180, 5812, 6041, 7488, 540, 519, 2707, 1843, 1826 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]