SmallDoge/decay_dataset_processed · Datasets at Hugging Face

input_ids sequencelengths 1 2.05k	attention_mask sequencelengths 1 2.05k
[ 1044, 513, 3395, 7678, 2509, 8716, 29426, 3206, 1851, 1762, 1453, 269, 2060, 2984, 899, 602, 540, 22186, 22220, 3751, 267, 519, 13653, 540, 570, 622, 781, 645, 820, 19255, 267, 7674, 607, 6667, 267, 811, 543, 811, 3237, 543, 7855, 616, 9301, 519, 1871, 540, 3450, 3214, 827, 1870, 543, 9297, 693, 606, 2038, 2085, 269, 769, 713, 1770, 267, 649, 786, 2263, 1018, 621, 1797, 547, 581, 606, 16724, 585, 3214, 267, 6313, 1883, 2035, 971, 607, 5876, 267, 1966, 9010, 267, 1981, 23824, 267, 543, 16177, 269, 3414, 2502, 2238, 543, 1483, 8996, 1806, 267, 649, 786, 948, 1053, 1174, 875, 789, 666, 4019, 891, 1983, 547, 1711, 741, 1378, 4213, 543, 1831, 3811, 3401, 538, 741, 2950, 780, 8893, 476, 272, 281, 1548, 568, 29661, 1222, 2496, 4263, 922, 4295, 267, 20835, 568, 782, 827, 7114, 3255, 543, 2870, 3435, 269, 898, 3322, 1210, 3860, 3206, 267, 2565, 2079, 267, 543, 5499, 1966, 9010, 547, 2490, 2093, 883, 4641, 269, 1280, 3214, 267, 20835, 666, 1491, 1082, 3029, 267, 689, 4358, 513, 21097, 1796, 547, 22745, 513, 8378, 9657, 1982, 269, 1635, 1565, 827, 20835, 267, 1453, 2744, 3407, 1983, 602, 666, 4324, 873, 538, 782, 2127, 540, 1272, 267, 1519, 2792, 267, 16542, 267, 5718, 267, 543, 2883, 7924, 780, 12244, 281, 5620, 1053, 16540, 513, 1592, 540, 2042, 538, 741, 1153, 610, 2146, 602, 789, 1131, 899, 547, 4194, 269, 11559, 873, 547, 1589, 21176, 543, 2097, 909, 609, 2189, 3435, 269, 3973, 267, 723, 873, 1459, 741, 2093, 547, 519, 1362, 543, 1865, 799, 3283, 1522, 581, 15164, 547, 2936, 780, 8893, 476, 273, 281, 15043, 606, 24573, 584, 658, 9650, 3553, 692, 3080, 540, 519, 1034, 1271, 3344, 540, 20835, 568, 2348, 519, 1318, 14820, 269, 901, 2882, 7592, 971, 607, 6043, 267, 8990, 267, 543, 513, 18515, 547, 1491, 4220, 269, 1677, 11349, 606, 29426, 14820, 538, 3214, 267, 621, 781, 1898, 547, 1683, 873, 609, 3255, 547, 2259, 1818, 3664, 267, 6061, 2042, 267, 543, 7231, 609, 22303, 269, 901, 666, 4125, 3388, 689, 4730, 3756, 602, 2154, 7580, 3206, 547, 10283, 538, 1895, 3785, 1141, 789, 1590, 960, 1927, 547, 3035, 513, 1455, 3804, 780, 12244, 281, 19147, 1053, 883, 1507, 2516, 543, 3651, 873, 513, 4161, 267, 971, 607, 2679, 519, 32399, 13486, 1210, 1152, 2269, 9749, 543, 11746, 269, 12315, 873, 3908, 2200, 543, 942, 10148, 267, 543, 5000, 873, 547, 1589, 3544, 519, 4216, 547, 1265, 3860, 3435, 269, 30850, 267, 3181, 4361, 607, 513, 1362, 543, 1865, 519, 2994, 1031, 676, 1142, 1895, 267, 607, 1134, 607, 1022, 9465, 789, 11402, 543, 875, 789, 22848, 877, 873, 780, 8893, 476, 274, 281, 17291, 19662, 692, 22209, 7651, 2720, 616, 2141, 593, 519, 1413, 719, 585, 1007, 3255, 269, 1358, 1294, 1761, 1141, 1866, 949, 711, 267, 543, 789, 616, 9952, 693, 7432, 1346, 7399, 883, 19311, 26136, 269, 9752, 3214, 875, 547, 2697, 3255, 568, 2629, 585, 3384, 741, 29426, 1983, 269, 2290, 1259, 547, 798, 713, 568, 676, 8716, 873, 547, 7747, 519, 1158, 1472, 873, 543, 2307, 2055, 269, 1280, 1383, 267, 952, 789, 5469, 602, 513, 2199, 6288, 19330, 17885, 23691, 267, 789, 1522, 2015, 4358, 513, 1870, 10655, 16445, 543, 8741, 532, 540, 621, 5265, 780, 12244, 281, 6875, 1053, 593, 513, 2361, 7552, 547, 513, 2199, 10918, 32041, 610, 25708, 1858, 269, 9105, 873, 547, 2628, 3007, 547, 519, 1585, 4213, 789, 7237, 543, 2697, 1022, 2115, 610, 10616, 538, 519, 2344, 269, 1280, 3236, 267, 789, 1522, 5469, 602, 972, 5749, 1405, 1022, 2635, 1426, 3681, 2139, 610, 602, 1978, 2472, 616, 936, 335, 878, 539, 269, 4495, 1394, 538, 519, 4928, 267, 723, 1053, 2671, 741, 7422, 543, 1865, 1761, 1870, 2093, 1759, 593, 1018, 789, 8068, 780, 8893, 476, 275, 281, 8490, 513, 16200, 12243, 692, 4407, 930, 11639, 3442, 547, 979, 621, 4805, 267, 1082, 3811, 4213, 616, 3710, 593, 2178, 6887, 269, 4804, 875, 547, 1628, 543, 4383, 513, 2319, 568, 4061, 606, 1898, 5578, 585, 14971, 1762, 11639, 269, 901, 3322, 1620, 875, 547, 5968, 3927, 267, 15518, 622, 4247, 267, 543, 8207, 7526, 269, 3958, 267, 621, 3340, 5807, 513, 2318, 2754, 2528, 602, 7512, 5647, 267, 5698, 267, 543, 2208, 780, 12244, 281, 25849, 1053, 547, 1507, 2516, 543, 4305, 873, 609, 2870, 513, 23769, 1870, 12334, 269, 4256, 6881, 1058, 1331, 1344, 593, 519, 1587, 610, 3028, 789, 1544, 547, 2709, 267, 741, 3077, 2344, 267, 543, 875, 789, 786, 7941, 9021, 1369, 519, 2319, 269, 11559, 16268, 5955, 543, 4901, 1310, 1142, 6881, 267, 10771, 519, 2956, 540, 2312, 2792, 543, 2500, 15518, 566, 780, 6962, 1384, 22826, 3214, 827, 20835, 16877, 873, 547, 1831, 3742, 5171, 538, 741, 2950, 543, 28382, 873, 609, 3407, 1983, 602, 666, 2063, 513, 10715, 269, 1635, 3695, 3584, 971, 607, 5876, 267, 1966, 9010, 267, 543, 16542, 267, 649, 666, 948, 6536, 513, 5108, 540, 3048, 2209, 543, 3401, 945, 616, 5827, 540, 21365, 1950, 2591, 543, 6117, 6209, 1689, 269, 1306, 23576, 676, 519, 1967, 540, 2043, 899, 22186, 22220, 3751, 267, 519, 6607, 568, 5963, 519, 3970, 950, 621, 2501, 547, 1018, 1762, 1004, 666, 9585, 950, 2016, 519, 4316, 547, 11654, 741, 18653, 543, 9909, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 19285, 1101, 4121, 827, 519, 13648, 773, 10348, 1247, 2542, 9517, 12788, 10790, 298, 8991, 676, 8899, 5674, 25143, 344, 590, 747, 565, 269, 22186, 22220, 3751, 568, 519, 13653, 540, 570, 622, 779, 645, 820, 19255, 12897, 630, 3240, 5172, 1373, 519, 11993, 3283, 1040, 4173, 1650, 568, 851, 540, 476, 1428, 4775, 11639, 12286, 538, 713, 3184, 1433, 269, 1809, 267, 1631, 1256, 7820, 3214, 666, 581, 6273, 676, 3751, 779, 1650, 2854, 676, 3751, 543, 538, 5698, 609, 8899, 5674, 25143, 344, 590, 747, 565, 269, 634, 1433, 568, 11609, 676, 7931, 7431, 918, 4954, 6308, 7288, 269, 6744, 856, 519, 2022, 2630, 543, 4283, 547, 3094, 835, 540, 476, 276, 12215, 540, 519, 1433, 2059, 609, 513, 10189, 540, 570, 622, 779, 645, 820, 19255, 12897, 256, 901, 2285, 12537, 568, 23032, 676, 519, 17404, 543, 594, 993, 711, 3743, 585, 519, 6765, 540, 519, 26065, 269, 634, 2285, 12537, 7475, 593, 10732, 267, 5239, 476, 1428, 267, 865, 4283, 2221, 256, 2336, 305, 24655, 5600, 7734, 585, 8479, 22419, 1923, 5147, 476, 1240, 628, 267, 476, 1708, 274, 1923, 476, 275, 268, 279, 1296, 1923, 10434, 16225, 1269, 1240, 269, 4200, 454, 8110, 2739, 585, 18397, 18798, 543, 27503, 536, 5474, 267, 713, 568, 519, 3020, 1650, 540, 513, 8004, 945, 4553, 1200, 5326, 547, 1118, 519, 3501, 10217, 7302, 760, 23739, 1700, 663, 267, 835, 1554, 267, 8547, 1158, 3146, 11471, 570, 12442, 24912, 22601, 17395, 15562, 8008, 10378, 269, 22731, 1071, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 22209, 7651, 2720, 1222, 585, 8866, 257, 607, 851, 540, 834, 16300, 13493, 1315, 6355, 1299, 13188, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 8080, 547, 938, 3184, 827, 519, 4241, 1158, 540, 1148, 3906, 256, 5620, 596, 2479, 9289, 875, 26847, 267, 15882, 267, 543, 824, 4213, 602, 4308, 609, 11247, 7500, 286, 4270, 267, 972, 781, 513, 2603, 811, 547, 621, 982, 1175, 16304, 10367, 593, 6821, 256, 2913, 781, 4685, 883, 930, 1898, 3344, 540, 5883, 606, 1148, 3919, 780, 5331, 596, 960, 693, 513, 3579, 1148, 19922, 4904, 609, 4190, 4773, 2813, 676, 16805, 5159, 269, 2659, 2816, 1522, 4125, 2921, 1416, 540, 891, 25704, 267, 4543, 8436, 5660, 873, 267, 610, 1256, 14045, 799, 3283, 547, 4159, 269, 1306, 851, 540, 519, 2319, 267, 596, 849, 991, 547, 1589, 827, 1919, 899, 9878, 707, 5520, 9425, 267, 9363, 2922, 2228, 267, 1565, 827, 1142, 11247, 781, 1686, 267, 543, 1818, 2386, 707, 19922, 814, 513, 2318, 1764, 593, 519, 1604, 269, 2334, 781, 1318, 910, 1148, 3906, 723, 9021, 3564, 3274, 6029, 1055, 1390, 1148, 2439, 4131, 781, 2263, 2947, 2565, 2127, 540, 5665, 606, 1148, 3919, 1384, 272, 269, 25477, 281, 3807, 899, 1022, 824, 2754, 267, 1148, 3906, 1590, 1246, 3652, 950, 17849, 1004, 269, 901, 2882, 4259, 4023, 13848, 267, 4180, 3160, 3255, 267, 543, 3246, 2640, 971, 607, 1072, 6142, 610, 16314, 942, 269, 1635, 8156, 741, 5520, 1134, 267, 1148, 4213, 1711, 513, 6126, 9036, 1141, 3025, 7959, 12595, 543, 12592, 563, 273, 269, 15536, 9798, 281, 2060, 865, 1454, 1344, 6740, 25274, 19951, 267, 7863, 1239, 568, 2629, 269, 27725, 619, 1223, 2119, 27560, 6213, 3877, 827, 5159, 267, 19216, 267, 610, 5561, 269, 1677, 1832, 3388, 5150, 267, 1148, 3906, 946, 2645, 899, 2178, 18538, 267, 1079, 29969, 17452, 267, 543, 2834, 1394, 5725, 269, 1358, 949, 849, 4001, 5234, 2818, 875, 547, 5544, 1085, 4461, 543, 26122, 8942, 563, 274, 269, 1160, 1597, 766, 11621, 281, 1879, 7231, 609, 3407, 1568, 540, 1148, 267, 6616, 4010, 945, 1500, 873, 543, 1141, 789, 3357, 689, 568, 1360, 1271, 269, 834, 3682, 1597, 766, 257, 4016, 547, 519, 1686, 540, 9562, 610, 26692, 540, 606, 6221, 269, 1635, 15388, 543, 25643, 8810, 766, 267, 1148, 3906, 2327, 13597, 543, 2061, 30081, 2238, 269, 898, 781, 899, 16439, 519, 1920, 3529, 540, 513, 7206, 610, 17001, 2336, 275, 269, 20885, 281, 9894, 596, 917, 602, 1148, 3906, 1404, 513, 1909, 538, 8497, 519, 4541, 1932, 286, 9861, 4264, 1797, 4227, 3653, 267, 25137, 1648, 267, 543, 5009, 10357, 7888, 2853, 269, 1280, 1383, 267, 26847, 1223, 3442, 10896, 8279, 602, 4688, 5201, 610, 19074, 11183, 2326, 3079, 540, 18530, 873, 2476, 269, 1452, 2370, 3268, 1039, 909, 547, 1118, 513, 2462, 3017, 2336, 276, 269, 3203, 1299, 15306, 281, 5303, 4249, 513, 1713, 1909, 538, 2221, 781, 1148, 6429, 269, 3245, 5691, 4641, 2833, 547, 3059, 10525, 267, 1007, 4066, 948, 13686, 7499, 13144, 538, 5499, 2081, 269, 3958, 267, 5841, 4987, 666, 4217, 1225, 2209, 538, 8939, 3617, 26620, 1759, 593, 2188, 899, 2511, 267, 6249, 267, 610, 7376, 4282, 269, 1215, 5863, 568, 602, 2496, 2414, 16833, 909, 267, 1577, 781, 1491, 513, 1413, 693, 1018, 4523, 1282, 513, 2027, 2680, 1572, 634, 3203, 6355, 10985, 269, 5994, 11836, 7366, 540, 4648, 2324, 538, 1114, 5107, 1369, 519, 1148, 2872, 269, 3683, 1079, 2395, 267, 789, 1865, 3584, 649, 14437, 827, 4505, 267, 7390, 11925, 267, 543, 1451, 4052, 1983, 2877, 547, 2196, 3811, 543, 3743, 1148, 3906, 269, 1635, 2519, 593, 1312, 5876, 543, 3280, 2359, 3741, 267, 891, 4966, 3565, 547, 513, 7524, 543, 14762, 6575, 2146, 780, 3086, 602, 596, 1174, 811, 827, 519, 10578, 1158, 3297, 1148, 3906, 267, 6148, 835, 1554, 596, 3513, 1831, 513, 4105, 851, 540, 621, 3054, 256, 5808, 6487, 267, 596, 1522, 3605, 6456, 15421, 610, 18653, 2059, 519, 1259, 269, 1924, 979, 6619, 267, 2263, 267, 1451, 267, 543, 2972, 519, 5898, 540, 1148, 1247, 5329, 922, 1870, 2427, 8449, 9159, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 3203, 6355, 10985, 568, 13059, 547, 1715, 3840, 538, 476, 1708, 274, 267, 1739, 513, 1614, 4458, 554, 9332, 639, 267, 585, 513, 2407, 1554, 10554, 593, 4989, 476, 2918, 4553, 676, 513, 3368, 1554, 540, 12909, 267, 2866, 543, 11925, 593, 6940, 593, 4989, 476, 2767, 269, 1280, 782, 1346, 3238, 538, 9140, 267, 9513, 610, 12391, 585, 1148, 267, 2436, 607, 513, 19922, 8227, 267, 4238, 8689, 267, 1148, 25129, 267, 18638, 9614, 267, 5748, 267, 4357, 21689, 267, 25488, 17621, 610, 9754, 3318, 267, 713, 10554, 6227, 519, 1883, 3344, 540, 4881, 606, 1148, 1870, 610, 4015, 269, 1284, 616, 30590, 547, 10950, 476, 1220, 28752, 547, 519, 476, 1708, 274, 10554, 267, 519, 1592, 540, 11504, 3549, 666, 581, 1336, 1934 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3617, 10158, 568, 5916, 609, 519, 3617, 1239, 5044, 2631, 24582, 5512, 12557, 5365, 547, 3595, 1152, 519, 2631, 7586, 13294, 476, 7367, 267, 476, 7918, 267, 476, 6321, 610, 476, 6812, 602, 5330, 547, 519, 20083, 10158, 269, 769, 713, 6073, 267, 1152, 631, 2631, 7586, 13294, 630, 3602, 631, 568, 519, 1239, 8700, 264, 26632, 622, 1379, 585, 519, 5697, 10158, 269, 17968, 267, 621, 1058, 581, 7074, 602, 2901, 12358, 3626, 18328, 5308, 19235, 610, 5911, 11399, 262, 539, 3977, 2619, 949, 8850, 2824, 519, 1239, 269, 1403, 9039, 540, 519, 16776, 538, 21461, 476, 1240, 6474, 519, 11090, 6712, 540, 519, 2232, 267, 1287, 972, 568, 513, 1239, 21461, 4413, 269, 8074, 602, 519, 700, 272, 21461, 2631, 7586, 13294, 543, 519, 1239, 6765, 2619, 26632, 622, 1100, 1379, 538, 713, 2013, 563, 15675, 528, 476, 2568, 2882, 5036, 540, 21461, 2631, 993, 1186, 476, 7367, 267, 476, 7918, 267, 476, 6321, 543, 476, 6812, 602, 4309, 519, 16776, 689, 519, 7222, 10158, 14249, 267, 855, 538, 13076, 609, 519, 1459, 8798, 267, 1152, 835, 1305, 540, 21461, 2631, 993, 1186, 568, 13087, 547, 1780, 1239, 547, 519, 3977, 269, 1635, 1259, 540, 1383, 267, 513, 11090, 6740, 693, 513, 5697, 21461, 1899, 538, 10158, 476, 271, 568, 2283, 539, 676, 2631, 993, 1186, 476, 3953, 267, 3379, 676, 5635, 5547, 476, 5655, 1996, 519, 11090, 6712, 540, 519, 2232, 267, 543, 21461, 1239, 568, 5293, 676, 519, 1305, 540, 1239, 2631, 993, 1186, 476, 7367, 547, 519, 1239, 3977, 952, 5635, 5547, 476, 5655, 6920, 513, 21461, 3620, 527, 269, 11088, 267, 4063, 602, 519, 5665, 1379, 540, 21461, 476, 1240, 949, 581, 4389, 676, 1210, 519, 5635, 11387, 547, 5512, 1152, 835, 10158, 540, 1239, 2631, 993, 1186, 267, 1247, 771, 29058, 519, 6967, 5036, 540, 1239, 2631, 993, 1186, 563, 1607, 20032, 2982, 513, 476, 275, 17574, 1305, 1997, 894, 21461, 267, 855, 519, 2450, 540, 519, 21461, 543, 519, 1297, 540, 18467, 1058, 711, 581, 513, 20159, 540, 519, 1459, 8798, 269, 1306, 3254, 267, 519, 21461, 949, 581, 5258, 883, 7161, 476, 3583, 268, 10019, 267, 609, 1142, 3625, 2348, 2185, 18467, 267, 1775, 4318, 1421, 10158, 476, 271, 267, 10158, 476, 272, 267, 10158, 476, 273, 543, 10158, 476, 274, 269, 3962, 540, 519, 2185, 18467, 949, 2270, 2185, 25466, 630, 320, 31632, 4564, 476, 279, 11353, 264, 585, 13936, 513, 476, 3953, 19229, 2262, 269, 10158, 476, 271, 267, 10158, 476, 272, 267, 10158, 476, 273, 543, 10158, 476, 274, 538, 1142, 3625, 949, 581, 15652, 539, 883, 513, 2539, 6712, 547, 4558, 519, 2539, 1079, 25466, 543, 606, 5580, 6712, 547, 4558, 519, 5580, 1079, 25466, 269, 1635, 1259, 540, 1383, 267, 513, 10158, 476, 271, 538, 3625, 476, 3583, 949, 4558, 519, 2539, 1079, 25466, 630, 6577, 6838, 676, 1635, 5052, 1496, 271, 281, 272, 3910, 552, 3052, 269, 11353, 476, 271, 281, 1428, 264, 543, 1776, 10158, 476, 271, 949, 4558, 519, 5580, 1079, 25466, 630, 6577, 6838, 676, 1635, 5052, 1496, 273, 281, 274, 3910, 552, 3052, 269, 11353, 476, 1626, 281, 4029, 30155, 9827, 267, 519, 1913, 949, 581, 2168, 11231, 538, 519, 21461, 607, 654, 16704, 476, 271, 630, 23026, 476, 3583, 1070, 654, 16704, 476, 273, 630, 23026, 476, 7761, 1070, 654, 16704, 476, 272, 630, 23026, 476, 10619, 1070, 654, 16704, 476, 274, 630, 23026, 476, 10602, 1070, 654, 16704, 476, 275, 630, 23026, 476, 4281, 1070, 654, 16704, 476, 277, 630, 23026, 476, 3199, 1070, 654, 16704, 476, 276, 630, 23026, 476, 11025, 1070, 543, 654, 16704, 476, 278, 630, 23026, 476, 10019, 1040, 4329, 4063, 602, 476, 5038, 2631, 993, 1186, 949, 581, 4092, 1063, 654, 16704, 476, 271, 543, 654, 16704, 476, 273, 267, 476, 5038, 2631, 993, 1186, 949, 581, 4092, 1063, 654, 16704, 476, 272, 543, 654, 16704, 476, 274, 267, 476, 5038, 2631, 993, 1186, 949, 581, 4092, 1063, 654, 16704, 476, 275, 543, 654, 16704, 476, 277, 267, 543, 476, 5038, 2631, 993, 1186, 949, 581, 4092, 1063, 654, 16704, 476, 276, 543, 654, 16704, 476, 278, 563, 1103, 713, 20032, 267, 3368, 540, 519, 20796, 9169, 949, 581, 11231, 2348, 519, 18467, 10288, 13394, 583, 1947, 267, 1247, 538, 519, 824, 3368, 519, 6292, 19280, 540, 519, 18467, 949, 581, 20328, 269, 10925, 1776, 1259, 267, 654, 16704, 476, 271, 267, 654, 16704, 476, 272, 267, 654, 16704, 476, 275, 543, 654, 16704, 476, 276, 949, 581, 11231, 547, 723, 513, 2168, 1931, 540, 10158, 476, 271, 267, 10158, 476, 272, 267, 10158, 476, 273, 543, 10158, 476, 274, 585, 13936, 519, 2539, 1079, 25466, 543, 519, 1482, 19280, 585, 13936, 519, 5580, 1079, 25466, 269, 1809, 654, 16704, 476, 273, 267, 654, 16704, 476, 274, 267, 654, 16704, 476, 277, 543, 654, 16704, 476, 278, 949, 581, 11231, 609, 519, 18467, 2348, 513, 1114, 19280, 269, 769, 891, 20796, 9169, 267, 519, 6292, 19280, 949, 581, 20328, 547, 723, 513, 2168, 1931, 540, 10158, 476, 272, 267, 10158, 476, 271, 267, 10158, 476, 274, 267, 10158, 476, 273, 585, 13936, 519, 2539, 1079, 25466, 543, 519, 1482, 19280, 585, 13936, 519, 5580, 1079, 25466, 269, 901, 11460, 540, 519, 21461, 3965, 2636, 10158, 476, 271, 547, 2671, 2631, 993, 1186, 609, 10158, 476, 272, 267, 543, 10158, 476, 273, 547, 2671, 2631, 993, 1186, 609, 10158, 476, 274, 269, 1306, 835, 1383, 267, 519, 2539, 1079, 25466, 630, 3528, 5052, 1496, 271, 281, 272, 8079, 543, 519, 5580, 1079, 25466, 630, 3528, 5052, 1496, 273, 281, 274, 8079, 585, 10158, 476, 271, 540, 3625, 476, 3583, 949, 581, 11231, 547, 2671, 2631, 993, 1186, 609, 519, 7222, 2539, 1079, 25466, 543, 5580, 1079, 25466, 585, 10158, 476, 272, 540, 3625, 476, 7761, 269, 19452, 267, 519, 2539, 1079, 25466, 630, 3528, 5052, 1496, 271, 281, 272, 8079, 543, 519, 5580, 1079, 25466, 630, 3528, 5052, 1496, 273, 281, 274, 8079, 585, 10158, 476, 272, 540, 3625, 476, 3583, 949, 581, 11231, 547, 2671, 2631, 993, 1186, 609, 519, 7222, 2539, 1079, 25466, 543, 5580, 1079, 25466, 585, 10158, 476, 271, 540, 3625, 476, 7761, 269, 6684, 267, 519, 2539, 1079, 25466, 630, 3528, 5052, 1496, 271, 281, 272, 8079, 543, 519, 5580, 1079, 25466, 630, 3528, 5052, 1496, 273, 281, 274, 8079, 585, 10158, 476, 273, 540, 3625, 476, 3583, 949, 581, 11231, 547, 2671, 2631, 993, 1186, 609, 519, 7222, 2539, 1079, 25466, 543, 5580, 1079, 25466, 585, 10158, 476, 274, 540, 3625, 476, 7761, 267, 543, 519, 2539, 1079, 25466, 630, 3528, 5052, 1496, 271, 281, 272, 8079, 543, 519, 5580, 1079, 25466, 630, 3528, 5052, 1496, 273, 281, 274, 8079, 585, 10158, 476, 274, 540, 3625, 476, 3583, 949, 581, 11231, 547, 2671, 2631, 993, 1186, 609, 519, 7222, 2539, 1079, 25466, 543, 5580, 1079, 25466, 585, 10158, 476, 273, 540, 3625, 476, 7761, 563, 306, 1619, 993, 1186, 949, 581, 1031, 585, 15392, 519, 1871, 540, 1142, 6740, 3787, 269, 4438, 3339, 5106, 1141, 835, 476, 3953, 19229, 2262, 568, 1224, 267, 835, 2631, 18041, 5512, 5365, 949, 581, 7682, 539, 602, 2636, 835, 540, 519, 2185, 2631, 993, 1186, 2404, 609, 1142, 594, 23860, 3787, 20105, 547, 8362, 2631, 1344, 269, 1809, 1282, 606, 859, 2109, 267, 1079, 2631, 18041, 5512, 6786, 949, 581, 7682, 539, 543, 1450, 1079, 2631, 993, 1186, 689, 519, 1895, 540, 2185, 547, 581, 3742, 269, 769, 713, 2013, 267, 3787, 476, 271, 689, 654, 16704, 476, 271, 543, 3787, 476, 271, 689, 654, 16704, 476, 273, 267, 585, 1383, 267, 949, 581, 1224, 585, 519, 1482, 10158, 269, 1635, 711, 23454, 1913, 1927, 538, 519, 1482, 21461, 3625, 267, 519, 1459, 3919, 6087, 835, 268, 12860, 859, 11881, 267, 1437, 908, 1079, 4627, 543, 15823, 3670, 2631, 993, 1186, 602, 1450, 5216, 1913, 547, 581, 1224, 693, 519, 1482, 942, 269, 4746, 267, 713, 21461, 3919, 2636, 519, 1379, 547, 581, 7856, 14961, 2066, 519, 3003, 21461, 5044, 1282, 606, 859, 1112, 610, 6445, 269, 8074, 602, 519, 2631, 993, 1186, 949, 581, 575, 730, 676, 519, 21461, 3620, 527, 5365, 689, 513, 11090, 6740, 538, 835, 540, 519, 18467, 267, 543, 8754, 267, 1100, 968, 17218, 1259, 892, 2824, 5547, 6818, 563, 4407, 1978, 2934, 540, 519, 8798, 723, 1044, 11609, 543, 4330, 23954, 267, 1082, 12381, 267, 2655, 4801, 267, 2242, 267, 543, 5973, 757, 786, 1631, 2049, 547, 1346, 9952, 538, 519, 1148, 269, 898, 568, 267, 4061, 267, 547, 581, 6956, 602, 519, 813, 2105, 6811, 616, 5497, 547, 3382, 782, 971, 12381, 543, 2242, 607, 2887, 1369, 519, 3020, 6891, 540, 519, 8798, 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 ]
[ 17044, 9549, 281, 713, 568, 21060, 6019, 267, 4993, 267, 538, 519, 1977, 2442, 9345, 269, 5851, 547, 3540, 2924, 12325, 267, 11806, 24984, 267, 7087, 18094, 267, 4074, 5322, 267, 543, 606, 1528, 28672, 602, 814, 5063, 5828, 4544, 281, 713, 568, 519, 21060, 6019, 267, 4993, 267, 602, 6013, 9944, 519, 1402, 2686, 6041, 267, 1932, 2370, 8947, 1256, 676, 17137, 563, 5575, 6994, 2213, 593, 10538, 1835, 622, 10297, 607, 513, 11344, 2230, 540, 4074, 6954, 11606, 267, 1287, 15469, 998, 519, 15260, 1005, 16837, 540, 519, 19732, 5006, 9255, 593, 3047, 267, 543, 1034, 5063, 7604, 1078, 538, 8613, 23609, 540, 519, 1858, 779, 5409, 5115, 1388, 1143, 267, 21060, 6019, 849, 3568, 513, 19599, 3309, 543, 771, 268, 10260, 656, 2250, 602, 814, 4539, 585, 519, 1459, 269, 13966, 2515, 922, 21490, 27492, 10538, 9240, 1407, 267, 31768, 11614, 267, 543, 544, 8712, 267, 621, 568, 513, 1747, 1141, 1004, 723, 5706, 539, 17478, 267, 17388, 585, 1857, 5624, 267, 11110, 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, 4149, 23293, 543, 8605, 2032, 257, 607, 851, 540, 834, 28765, 22723, 13493, 1315, 6184, 2869, 1049, 1299, 9608, 12618, 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, 32522, 29698, 281, 6008, 1359, 3776, 10158, 3414, 3778, 2439, 5970, 596, 2479, 16545, 1018, 621, 1131, 581, 899, 547, 13743, 2066, 519, 5318, 5836, 267, 12423, 1007, 3338, 543, 25884, 1114, 4529, 286, 1280, 5553, 267, 12703, 17701, 1305, 856, 593, 9635, 547, 2263, 17946, 14975, 7297, 267, 13461, 593, 12445, 7405, 547, 3391, 741, 1259, 269, 1452, 2645, 941, 1898, 585, 8159, 4087, 267, 4287, 267, 543, 3845, 14612, 1282, 4262, 16831, 1137, 269, 2913, 781, 7832, 593, 606, 7045, 998, 942, 543, 1451, 827, 930, 4241, 562, 27658, 1884, 2294, 543, 2445, 17156, 1107, 12445, 7405, 2439, 6524, 649, 4685, 883, 1808, 3457, 267, 1577, 781, 1174, 875, 25501, 4044, 730, 1354, 2413, 2029, 3576, 936, 269, 1358, 16941, 593, 11287, 18477, 4703, 971, 607, 6801, 267, 10785, 267, 543, 519, 3141, 269, 1635, 15663, 519, 2990, 540, 891, 31676, 3615, 3448, 547, 741, 1378, 6077, 267, 789, 1223, 3313, 20173, 630, 333, 2180, 1606, 1926, 2990, 264, 543, 29978, 630, 324, 770, 29891, 2990, 1040, 901, 1505, 2838, 1585, 19782, 1190, 19269, 547, 2268, 7285, 543, 5173, 9883, 8308, 780, 3080, 971, 6293, 568, 519, 8330, 1503, 23042, 267, 1031, 676, 3504, 16380, 543, 29240, 1472, 476, 5611, 5084, 269, 898, 5654, 899, 513, 9764, 6676, 609, 31452, 1572, 620, 573, 3547, 7923, 547, 922, 4099, 269, 590, 841, 832, 4371, 909, 519, 4230, 1503, 23042, 1996, 519, 6607, 267, 26936, 835, 540, 519, 620, 573, 3547, 609, 513, 5182, 610, 519, 16880, 269, 2060, 29890, 7515, 267, 789, 1287, 7229, 741, 15820, 1657, 3047, 543, 6059, 741, 20173, 269, 5994, 23115, 856, 707, 10974, 1210, 1152, 5182, 2775, 543, 9511, 1107, 4992, 7168, 3579, 267, 1318, 2496, 5194, 1271, 1907, 568, 519, 9061, 16065, 267, 11827, 538, 519, 3735, 5664, 12698, 269, 5381, 547, 519, 4230, 1503, 23042, 855, 12863, 538, 1374, 267, 3444, 5234, 338, 2874, 540, 513, 11308, 5234, 609, 1940, 762, 4773, 1572, 1098, 1682, 7923, 13902, 569, 269, 1879, 3168, 2059, 519, 3259, 540, 519, 5234, 267, 25501, 17479, 519, 3617, 1098, 558, 865, 602, 621, 13988, 609, 1312, 519, 16880, 543, 513, 18477, 1560, 269, 25732, 519, 3845, 1063, 519, 3750, 543, 519, 1098, 558, 4847, 873, 547, 12337, 741, 20173, 269, 2052, 596, 4952, 2348, 11931, 2614, 3946, 547, 1899, 3388, 909, 9985, 1247, 27342, 6883, 1472, 593, 14299, 6853, 15798, 2496, 3086, 1577, 781, 2911, 827, 735, 13293, 1107, 1100, 267, 711, 1346, 6263, 22197, 12758, 3330, 938, 11442, 6517, 267, 855, 2864, 1804, 3283, 15841, 593, 6763, 1634, 607, 536, 4883, 8163, 269, 7216, 2261, 29794, 4362, 602, 1978, 10007, 267, 1631, 4857, 607, 11275, 1242, 4401, 7626, 267, 2141, 11329, 5087, 269, 4635, 713, 6240, 267, 789, 2813, 22315, 6486, 6825, 609, 8846, 543, 17735, 873, 1657, 513, 13549, 13735, 593, 1216, 610, 9187, 7627, 593, 513, 8930, 269, 1306, 519, 6928, 6410, 267, 519, 3556, 29352, 9935, 267, 3850, 25501, 547, 2226, 513, 3586, 16144, 269, 3807, 4605, 23376, 707, 10935, 1759, 593, 1141, 513, 13549, 2798, 2439, 7661, 267, 972, 616, 9076, 1218, 543, 694, 868, 1218, 1107, 811, 4359, 8747, 540, 519, 5892, 5018, 4230, 1503, 629, 525, 543, 3444, 5234, 338, 269, 21408, 1218, 4266, 1394, 547, 519, 476, 1626, 628, 2540, 543, 4183, 3368, 10580, 5258, 883, 5232, 269, 1530, 868, 1218, 267, 2919, 2663, 267, 30107, 2407, 10580, 543, 19141, 585, 4824, 6111, 269, 5637, 1450, 25501, 547, 2268, 7285, 1063, 18477, 4703, 543, 519, 16880, 609, 3152, 8856, 982, 4505, 2645, 269, 6056, 827, 3843, 547, 15378, 1507, 7285, 1210, 1175, 707, 4064, 282, 3833, 4101, 8197, 2439, 4322, 7415, 12445, 7405, 8118, 909, 2898, 1007, 10600, 585, 3408, 543, 6602, 269, 9453, 873, 267, 1082, 3140, 5515, 899, 18332, 19090, 610, 23849, 1723, 13005, 717, 4821, 1522, 2760, 723, 5887, 3293, 3564, 5432, 24528, 269, 1924, 1985, 942, 596, 1265, 3054, 575, 5074, 693, 519, 3781, 6607, 267, 3314, 782, 519, 27093, 20339, 945, 2909, 1386, 30217, 748, 12084, 11461, 9003, 676, 2470, 781, 4191, 543, 2241, 2943, 13085, 18563, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 24730, 1733, 531, 2917, 543, 2051, 518, 3805, 281, 634, 24553, 540, 18623, 1222, 454, 24730, 1733, 531, 2917, 543, 2051, 518, 3805, 281, 634, 24553, 540, 18623, 1222, 454, 3528, 3627, 12113, 985, 267, 7905, 9622, 7978, 267, 5062, 22913, 2160, 454, 24730, 1733, 531, 2917, 779, 1272, 17489, 1719, 538, 519, 12591, 540, 15656, 13177, 2051, 518, 3805, 3459, 267, 538, 7118, 652, 267, 950, 646, 729, 606, 15938, 693, 21674, 779, 2160, 630, 4350, 273, 268, 3374, 264, 609, 519, 2542, 538, 476, 4350, 274, 540, 3627, 12389, 8725, 8899, 525, 779, 634, 10003, 1677, 2473, 534, 611, 340, 281, 589, 5530, 538, 519, 18467, 540, 519, 22569, 1588, 630, 4572, 278, 1040, 634, 4395, 7371, 19991, 540, 519, 1101, 11785, 7160, 540, 713, 1433, 3568, 606, 14745, 540, 513, 7088, 2389, 1601, 539, 6928, 267, 5310, 267, 585, 2051, 518, 3805, 543, 585, 1733, 531, 2917, 267, 513, 3090, 540, 1480, 1272, 269, 3414, 519, 5822, 2622, 2782, 1733, 531, 2917, 10630, 593, 2051, 518, 3805, 945, 729, 6157, 2282, 1864, 538, 519, 1603, 540, 1010, 2112, 9954, 267, 585, 1383, 267, 538, 968, 289, 4490, 23694, 892, 799, 607, 594, 723, 6700, 538, 519, 1557, 593, 1733, 531, 2917, 779, 6965, 267, 3568, 519, 1482, 5722, 851, 2497, 607, 968, 763, 681, 830, 540, 519, 9147, 3057, 10719, 3034, 2005, 729, 1310, 519, 2112, 267, 2705, 267, 602, 6723, 1733, 531, 2917, 779, 13455, 7634, 540, 2051, 518, 3805, 779, 530, 686, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 28208, 566, 29698, 257, 607, 851, 540, 834, 3198, 2316, 27309, 1299, 23333, 28421, 2316, 13993, 2464, 1315, 23527, 1299, 21771, 1315, 715, 27658, 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, 3992, 827, 1373, 513, 1612, 531, 20235, 543, 2324, 593, 1483, 10040, 1876, 543, 8852, 256, 1411, 1522, 581, 11842, 1018, 782, 1346, 2462, 1913, 1611, 267, 865, 1577, 781, 2736, 621, 1524, 1927, 780, 20058, 267, 723, 596, 2479, 4862, 540, 17864, 286, 4270, 267, 1612, 531, 1122, 1023, 616, 899, 13930, 17864, 945, 948, 873, 856, 609, 741, 960, 269, 1358, 666, 798, 6266, 540, 1271, 4247, 267, 971, 607, 15388, 4031, 267, 12180, 6054, 267, 543, 6158, 547, 7218, 780, 3086, 267, 1577, 781, 2911, 827, 1483, 10040, 269, 1411, 4440, 917, 602, 713, 1797, 1919, 899, 8075, 267, 6306, 906, 267, 543, 2244, 269, 1809, 950, 649, 2161, 834, 9418, 10040, 1876, 2437, 649, 2811, 13288, 547, 519, 3652, 543, 6042, 827, 9140, 267, 9513, 267, 10519, 532, 267, 543, 26539, 891, 3601, 269, 1703, 616, 1082, 3656, 5773, 3238, 267, 543, 602, 781, 1141, 1612, 531, 1122, 1023, 2097, 538, 2439, 13640, 531, 1122, 1023, 2324, 538, 1483, 10040, 8852, 4217, 609, 3157, 899, 4543, 7218, 4444, 610, 6133, 3601, 269, 1280, 1383, 267, 789, 1522, 2638, 11731, 267, 2327, 602, 3388, 568, 16155, 2953, 267, 543, 3391, 7218, 998, 1957, 1740, 543, 21852, 269, 901, 2816, 3340, 9878, 2673, 3007, 547, 3877, 543, 1620, 1950, 4031, 780, 4131, 781, 1413, 693, 513, 9183, 547, 1294, 875, 1612, 531, 1122, 1023, 946, 741, 1983, 538, 1483, 10040, 8852, 1384, 5331, 707, 5172, 6512, 6499, 547, 4444, 513, 2679, 547, 2490, 883, 741, 1007, 2575, 18638, 256, 1306, 513, 1612, 531, 20235, 267, 596, 1131, 1101, 991, 547, 1451, 827, 519, 3959, 789, 1616, 547, 6718, 269, 3973, 267, 596, 1131, 2689, 1022, 4540, 11650, 610, 2152, 13615, 547, 519, 2679, 269, 8921, 267, 596, 1131, 948, 1711, 513, 4579, 585, 519, 9042, 267, 4180, 602, 782, 2556, 1344, 543, 20038, 616, 3769, 269, 7053, 267, 596, 1131, 1489, 707, 7817, 2429, 519, 1184, 676, 5329, 3950, 540, 21852, 267, 16460, 2055, 267, 543, 1818, 2386, 1169, 1900, 5205, 519, 1697, 3656, 5650, 780, 1103, 1840, 547, 7829, 8852, 267, 1612, 531, 1122, 1023, 1419, 1445, 593, 1808, 2127, 1369, 1483, 10040, 1876, 269, 2290, 1858, 568, 1572, 519, 834, 325, 27448, 543, 631, 26031, 6498, 1701, 8750, 532, 4016, 547, 3478, 2724, 585, 3785, 267, 1247, 631, 26031, 6763, 585, 631, 1120, 619, 543, 21733, 29792, 269, 1879, 4213, 19467, 610, 10536, 824, 3549, 267, 972, 616, 9748, 540, 3656, 9270, 269, 2334, 781, 1946, 2348, 9952, 1612, 531, 1122, 1023, 568, 1898, 9789, 344, 666, 948, 6330, 7294, 9388, 5473, 6634, 540, 6550, 2439, 2690, 3236, 267, 4952, 1079, 10509, 3549, 6430, 547, 6443, 4229, 269, 634, 1612, 531, 1122, 1023, 1131, 991, 547, 4983, 1312, 2754, 781, 7221, 267, 22440, 267, 543, 3656, 13800, 269, 30850, 267, 789, 1131, 8908, 909, 606, 6876, 24223, 9562, 2497, 267, 9021, 267, 543, 2883, 3344, 269, 1635, 3257, 713, 2629, 960, 3297, 519, 10207, 267, 1612, 531, 1122, 1023, 3565, 3648, 547, 3811, 1870, 12352, 2439, 6826, 5765, 513, 1612, 531, 20235, 21751, 538, 1483, 10040, 1876, 543, 8852, 666, 1291, 547, 606, 3078, 4876, 2407, 540, 3099, 543, 4161, 269, 1924, 2322, 593, 707, 3206, 1698, 267, 4685, 883, 1565, 811, 827, 4031, 543, 6042, 267, 543, 1205, 4712, 547, 1404, 606, 7533, 1909, 538, 5935, 2950, 543, 4213, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 8649, 3405, 774, 1515, 568, 606, 21133, 538, 519, 23654, 8257, 630, 293, 27448, 543, 631, 26031, 6498, 1916, 7712, 5412, 476, 1708, 271, 267, 2549, 3405, 814, 1044, 1443, 2358, 11639, 267, 9746, 3549, 630, 18485, 5177, 2861, 543, 3486, 264, 543, 1866, 267, 538, 4276, 609, 741, 12388, 619, 543, 4203, 29792, 267, 2671, 14516, 543, 13338, 12417, 267, 1895, 556, 6716, 31907, 267, 2508, 24597, 543, 5092, 21448, 267, 543, 2489, 9746, 6927, 563, 3891, 814, 1995, 2324, 5702, 609, 27428, 267, 2359, 6887, 267, 9746, 8804, 31548, 543, 538, 27440, 8480, 593, 3818, 2173, 11669, 1790, 895, 8852, 267, 543, 814, 15695, 7218, 538, 519, 2029, 267, 5663, 267, 1426, 543, 4235, 267, 1648, 267, 3318, 2533, 543, 552, 19645 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 18903, 667, 919, 274, 318, 277, 454, 258, 634, 4266, 4873, 476, 1015, 267, 476, 3422, 271, 2676, 258, 568, 2027, 1317, 950, 621, 568, 2854, 538, 519, 1739, 3898, 2676, 258, 519, 3923, 2053, 519, 1554, 11224, 519, 1032, 281, 476, 277, 270, 1015, 270, 2568, 454, 258, 5071, 513, 1982, 602, 12134, 519, 3593, 454, 258, 547, 4283, 513, 3923, 630, 514, 25948, 1106, 1070, 513, 1554, 267, 543, 513, 1079, 18251, 1032, 563, 258, 634, 1982, 1058, 1287, 3313, 2436, 454, 258, 519, 3923, 2053, 519, 1554, 11224, 519, 1032, 563, 258, 1403, 865, 267, 621, 1058, 4159, 513, 5048, 6031, 519, 4266, 568, 9059, 563, 258, 19227, 267, 621, 1058, 4159, 513, 5048, 6031, 519, 4266, 568, 711, 9059, 7531, 3698, 1292, 3890, 1384, 825, 3923, 25507, 9272, 3488, 11767, 3923, 538, 25948, 1106, 281, 1412, 4917, 825, 1554, 25507, 9272, 3488, 11767, 4266, 540, 1554, 281, 1412, 4917, 825, 1032, 25507, 9272, 3488, 11767, 1079, 18251, 1032, 281, 1412, 4917, 825, 9059, 284, 24629, 265, 1485, 454, 825, 952, 9059, 2525, 20204, 912, 1038, 1820, 3488, 763, 4266, 568, 9059, 5073, 825, 3116, 912, 1038, 1820, 3488, 763, 4266, 568, 711, 9059, 5073, 10852, 4590, 0, 258, 15510, 4578, 278, 268, 279, 454, 258, 2475, 16954, 1637, 17902, 3097, 258, 634, 3758, 3568, 519, 4571, 20204, 2551, 540, 519, 2136, 2276, 2676, 258, 538, 5215, 267, 1282, 519, 1296, 476, 4198, 271, 998, 476, 1960, 271, 563, 258, 634, 1101, 1899, 538, 519, 3758, 3568, 519, 2551, 585, 476, 4198, 271, 2676, 258, 519, 2034, 1899, 3568, 519, 2551, 585, 476, 4198, 272, 267, 543, 865, 8521, 563, 258, 3503, 513, 1982, 602, 14509, 519, 3758, 779, 9115, 883, 513, 1592, 563, 258, 634, 1982, 1058, 4159, 519, 1739, 1239, 912, 258, 634, 3328, 5993, 1689, 538, 2551, 1282, 519, 942, 1974, 454, 258, 634, 1032, 609, 519, 6574, 2333, 538, 2551, 1282, 519, 942, 1974, 454, 258, 634, 1032, 609, 519, 10545, 2333, 538, 2551, 1282, 519, 942, 1974, 692, 5814, 4351, 454, 3698, 1711, 18316, 10031, 825, 3758, 284, 13449, 3488, 4785, 16954, 1637, 17902, 12887, 342, 5073, 825, 585, 1899, 538, 2039, 263, 2412, 2187, 1038, 1297, 284, 12690, 27110, 263, 4968, 1822, 267, 12573, 1822, 994, 1038, 3758, 22182, 19304, 28840, 11924, 262, 315, 333, 5073, 825, 3758, 25379, 10797, 3698, 1292, 10031, 825, 1948, 22056, 18316, 4590, 825, 2551, 8217, 17342, 2639, 825, 3758, 284, 13449, 3488, 4785, 16954, 1637, 17902, 12887, 337, 5073, 8931, 672, 692, 10852, 4590, 0, 454, 3698, 1250, 318, 10090, 1807, 3799, 2187, 825, 585, 1775, 538, 2039, 3799, 2187, 1038, 10917, 284, 344, 1752, 1775, 454, 1038, 1820, 6600, 262, 16043, 495, 15159, 346, 31184, 348, 5073, 3097, 326, 284, 3240, 318, 10090, 1807, 263, 276, 994, 3097, 2745, 263, 10113, 14116, 4297, 1948, 27447, 24731, 271, 454, 2745, 263, 10113, 14116, 4297, 1948, 27447, 24731, 272, 692, 326, 815, 1250, 318, 10090, 1807, 263, 866, 994, 2745, 263, 10113, 14116, 4917, 2745, 263, 10113, 14116, 4917, 2745, 263, 10113, 14116, 4917, 2745, 263, 10113, 14116, 4917, 0, 26611, 23591, 24800, 19841, 341, 9226, 454, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 7042, 258, 476, 13601, 18998, 21211, 10429, 372, 454, 18743, 815, 27835, 4067, 9166, 1412, 313, 4673, 3299, 1412, 720, 9166, 476, 278, 8679, 258, 21211, 10429, 372, 420, 377, 361, 20992, 21211, 31033, 4970, 366, 454, 1598, 5560, 1112, 994, 258, 21211, 10429, 372, 23746, 23284, 420, 377, 361, 20992, 30317, 14756, 482, 454, 14654, 921, 5560, 1112, 994, 258, 21211, 10429, 372, 23746, 23284, 420, 377, 361, 20992, 30317, 14756, 482, 454, 14654, 921, 5560, 1112, 269, 11161, 15405, 258, 21211, 10429, 372, 420, 377, 361, 20992, 28578, 23989, 454, 4289, 5560, 1112, 994, 258, 21211, 10429, 372, 420, 377, 361, 20992, 28578, 23989, 454, 18743, 269, 11161, 692, 258, 476, 11590, 490, 18998, 18998, 30317, 14756, 482, 454, 339, 1575, 14352, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 277, 267, 278, 267, 279, 994, 258, 30317, 14756, 482, 420, 377, 361, 20992, 21211, 31033, 4970, 366, 454, 339, 1575, 14857, 1598, 1029, 4590, 258, 30317, 14756, 482, 420, 377, 361, 20992, 28578, 23989, 454, 4289, 6025, 1575, 994, 258, 30317, 14756, 482, 21251, 23746, 23284, 420, 377, 361, 20992, 21211, 10429, 372, 692, 258, 476, 4970, 487, 18998, 28578, 23989, 454, 333, 4548, 17342, 272, 267, 476, 274, 267, 476, 276, 267, 476, 278, 267, 476, 280, 267, 476, 1556, 267, 476, 1724, 30092, 258, 28578, 23989, 420, 377, 361, 20992, 21211, 31033, 4970, 366, 454, 1598, 25225, 994, 258, 28578, 23989, 420, 377, 361, 20992, 30317, 14756, 482, 454, 14654, 921, 25225, 994, 258, 28578, 23989, 21251, 23746, 23284, 420, 377, 361, 20992, 21211, 10429, 372, 692, 258, 13127, 505, 505, 18998, 21211, 31033, 4970, 366, 454, 1598, 6889, 263, 272, 267, 273, 267, 274, 264, 4840, 258, 21211, 31033, 4970, 366, 420, 377, 361, 20992, 30317, 14756, 482, 454, 14654, 921, 16216, 1998, 19304, 4917, 258, 21211, 31033, 4970, 366, 420, 377, 361, 20992, 28578, 23989, 454, 4289, 16216, 1998, 2891, 263, 272, 267, 273, 267, 274, 17983, 4917, 258, 21211, 31033, 4970, 366, 420, 377, 361, 20992, 21211, 10429, 372, 454, 1598, 272, 6889, 346, 262, 4067, 9166, 262, 331, 329, 336, 3299, 1412, 720, 9166, 2190, 348, 4840, 24834, 19304, 272, 264, 0, 258, 256, 1315, 23591, 24800, 19841, 341, 9226, 454, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 7042, 258, 10254, 358, 17958, 25913, 26266, 362, 28098, 30006, 498, 4970, 353, 19764, 510, 18713, 378, 29830, 485, 7511, 26266, 362, 19764, 480, 692, 5228, 623, 6579, 1104, 12005, 454, 258, 383, 488, 382, 373, 383, 497, 12728, 382, 369, 383, 504, 383, 486, 383, 377, 6440, 16006, 382, 379, 5889, 28462, 23263, 303, 650, 578, 454, 5814, 2979, 454, 5814, 11346, 454, 5228, 1187, 551, 8962, 1104, 2569, 692, 13548, 272, 284, 15862, 269, 13449, 3488, 290, 2517, 5825, 619, 2260, 3849, 3439, 15249, 2260, 5327, 330, 9008, 2260, 420, 482, 504, 10951, 361, 24757, 10524, 370, 2260, 1556, 26666, 5073, 13548, 274, 284, 15862, 269, 13449, 3488, 290, 2517, 5825, 619, 2260, 3849, 3439, 15249, 2260, 5327, 330, 9008, 2260, 420, 482, 504, 10951, 361, 24757, 10524, 370, 2260, 2420, 26666, 5073, 258, 4113, 383, 495, 383, 491, 26528, 383, 493, 10722, 382, 370, 383, 498, 383, 493, 6759, 9943, 382, 359, 14872, 14872, 383, 492, 382, 359, 383, 500, 22144, 6440, 16006, 383, 491, 26528, 383, 488, 383, 377, 382, 378, 383, 507, 28462, 12953, 21485, 19508, 383, 498, 383, 504, 4289, 554, 272, 382, 350, 10634, 327, 273, 3331, 500, 383, 494, 454, 327, 272, 284, 13548, 272, 269, 7290, 6945, 4590, 327, 273, 284, 13548, 274, 269, 7290, 6945, 10797, 14310, 815, 2979, 28460, 263, 516, 706, 576, 263, 28072, 14491, 267, 476, 1592, 9852, 777, 10857, 10033, 513, 14720, 281, 630, 320, 1532, 264, 1262, 273, 267, 554, 272, 267, 554, 273, 4297, 8358, 6352, 22607, 272, 264, 476, 9239, 2745, 31114, 994, 258, 14310, 382, 369, 383, 482, 383, 500, 382, 369, 383, 498, 16006, 21485, 6759, 28462, 12953, 383, 489, 382, 369, 12728, 383, 371, 383, 479, 16006, 383, 499, 29967, 382, 369, 383, 482, 11054, 383, 362, 22144, 32244, 383, 498, 16006, 21485, 6759, 28462, 14872, 383, 486, 9809, 382, 373, 383, 375, 14310, 284, 271, 267, 383, 498, 383, 366, 383, 489, 382, 369, 12728, 383, 371, 383, 479, 16006, 383, 499, 30755, 383, 491, 26528, 383, 496, 14872, 383, 482, 28462, 383, 496, 14872, 383, 495, 383, 373, 0, 2745, 28361, 333, 10501, 810, 595, 328, 17845, 333, 25556, 632, 667, 15606, 910, 8750, 3512, 657, 5124, 910, 5903, 28294, 1637, 14826, 13129, 281, 962, 19834, 910, 3436, 476, 5124, 476, 274, 14691, 20861, 9847, 4179, 2517, 4178, 28938, 2593, 11320, 2255, 286, 341, 284, 299, 308, 334, 298, 15238, 298, 276, 342, 764, 14826, 325, 1716, 663, 565, 340, 1143, 322, 287, 326, 21166, 2593, 14826, 5073, 2745, 3488, 8512, 324, 476, 272, 281, 1422, 333, 5073, 2745, 3488, 8512, 324, 476, 273, 281, 1422, 333, 5073, 2745, 3488, 8512, 324, 476, 274, 281, 1422, 333, 5073, 2745, 3488, 8512, 324, 476, 275, 281, 1422, 333, 17210, 258, 5785, 8894, 258, 955, 268, 3487, 324, 476, 272, 476, 2411, 734, 8894, 2745, 3488, 14343, 9339, 315, 333, 1366, 734, 3487, 324, 476, 272, 10900, 955, 315, 333, 17210, 692, 343, 815, 1496, 272, 267, 273, 267, 274, 267, 275, 267, 277, 267, 276, 267, 275, 267, 3451, 267, 3451, 267, 3451, 267, 277, 267, 278, 267, 278, 267, 278, 267, 278, 267, 278, 316, 1948, 595, 686, 18372, 19804, 17022, 528, 267, 30458, 4018, 20960, 692, 2745, 3287, 264, 3097, 2745, 28361, 333, 28269, 10098, 27089, 281, 3299, 343, 314, 271, 3910, 262, 19575, 24982, 27089, 281, 3299, 343, 15631, 272, 8079, 1948, 1955, 27146, 785, 334, 1130, 2803, 13005, 30458, 267, 17022, 528, 269, 744, 6305, 10098, 552, 522, 3706, 24982, 454, 2745, 28361, 333, 23797, 657, 3693, 657, 267, 512, 16120, 14833, 13005, 30458, 270, 23439, 528, 281, 3299, 6352, 3287, 4917, 2745, 28361, 333, 303, 657, 328, 23843, 798, 6305, 10098, 3693, 334, 28075, 783, 513, 476, 1789, 14255, 30458, 282, 23439, 528, 281, 3299, 343, 28827, 263, 3451, 4917, 2745, 28361, 333, 303, 657, 328, 23843, 798, 6305, 10098, 3693, 334, 28075, 783, 513, 476, 1789, 14255, 30458, 282, 23439, 528, 1303, 516, 15259, 1130, 2803, 476, 271, 552, 476, 1626, 281, 3299, 343, 28827, 263, 3451, 267, 271, 267, 1626, 4917, 2745, 28361, 333, 303, 657, 328, 23843, 798, 6305, 10098, 3693, 334, 28075, 783, 513, 476, 1789, 14255, 30458, 282, 23439, 528, 1303, 516, 15259, 1130, 2803, 476, 279, 552, 476, 1626, 281, 3299, 343, 28827, 263, 3451, 267, 279, 267, 1626, 4917, 2745, 28361, 333, 303, 657, 328, 23843, 798, 6305, 10098, 3693, 334, 28075, 783, 513, 476, 1789, 14255, 30458, 282, 23439, 528, 1303, 516, 15259, 1130, 2803, 476, 280, 552, 476, 1626, 281, 3299, 343, 28827, 263, 3451, 267, 280, 267, 1626, 4297, 1948, 29439, 984, 337, 785, 334, 513, 1064, 328, 23843, 632, 1130, 2803, 1965, 29347, 6403, 325, 545, 657, 14255, 30458, 267, 23439, 528, 269, 27297, 6446, 1609, 320, 1187, 23843, 454, 258, 550, 2958, 320, 1474, 25366, 513, 1064, 328, 23843, 13005, 6305, 4275, 1654, 345, 7117, 1605, 3284, 732, 576, 269, 1290, 334, 513, 1187, 23843, 546, 5451, 513, 1502, 321, 559, 573, 1228, 632, 2512, 541, 593, 1372, 844, 518, 454, 258, 6446, 694, 538, 545, 773, 552, 2165, 710, 513, 1668, 8619, 267, 20527, 1502, 6403, 767, 3352, 679, 4186, 8681, 334, 607, 1064, 328, 9809, 383, 369, 525, 454, 2745, 28361, 333, 23797, 553, 1654, 8240, 522, 476, 278, 3284, 732, 576, 267, 20527, 10221, 18480, 14255, 30458, 267, 23439, 528, 281, 3299, 343, 29644, 263, 278, 4297, 1948, 29439, 984, 337, 785, 334, 3067, 553, 1654, 8240, 19804, 27089, 20527, 10221, 18480, 14255, 30458, 267, 23439, 528, 7531, 258, 5785, 8894, 258, 955, 268, 3487, 324, 476, 273, 476, 2411, 734, 8894, 2745, 28361, 333, 14343, 9339, 315, 333, 1366, 734, 3487, 324, 476, 273, 10900, 955, 315, 333, 17210, 343, 6910, 263, 273, 264, 1948, 1520, 322, 542, 18372, 19804, 27089, 14255, 30458, 270, 23439, 528, 267, 1965, 572, 27089, 1583, 5451, 740, 20601, 5964, 513, 334, 3803, 3097, 2745, 3287, 994, 2745, 28361, 333, 23797, 657, 3693, 657, 267, 512, 16120, 14833, 13005, 30458, 270, 23439, 528, 281, 3299, 6352, 3287, 4917, 343, 27044, 263, 273, 267, 1428, 264, 1948, 1520, 20601, 18372, 19804, 27089, 14255, 30458, 270, 23439, 528, 267, 1965, 572, 27089, 1583, 5451, 740, 20601, 5964, 14255, 1064, 328, 23843, 2512, 3385, 269, 744, 7034, 12727, 476, 1428, 14255, 1064, 328, 23843, 1535, 314, 273, 24557, 274, 454, 2745, 28361, 333, 3299, 343, 994, 2745, 28361, 333, 23797, 657, 3693, 657, 267, 512, 16120, 14833, 13005, 30458, 270, 23439, 528, 281, 3299, 6352, 3287, 4917, 343, 31927, 263, 274, 264, 1948, 3816, 990, 754, 334, 19804, 27089, 14255, 30458, 270, 23439, 528, 267, 1965, 572, 27089, 1583, 5451, 740, 20601, 5964, 14255, 1064, 328, 23843, 2512, 3385, 269, 744, 7034, 12727, 1064, 328, 23843, 1535, 314, 273, 24557, 274, 454, 2745, 28361, 333, 3299, 343, 994, 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 ]
[ 277, 267, 1210, 519, 1449, 540, 8954, 2225, 676, 476, 277, 281, 476, 5655, 267, 476, 13893, 267, 476, 5197, 267, 476, 28670, 267, 476, 14444, 269, 1496, 2171, 917, 519, 3652, 540, 8954, 2225, 676, 476, 273, 267, 952, 519, 1770, 779, 1747, 540, 519, 1297, 568, 2901, 476, 271, 610, 2789, 540, 476, 273, 4940, 476, 5655, 568, 16883, 676, 476, 273, 269, 4595, 519, 1770, 1747, 568, 476, 273, 799, 568, 16883, 676, 476, 273, 780, 3918, 4696, 9338, 12569, 281, 5231, 1548, 6620, 616, 1031, 538, 552, 1260, 12692, 2496, 2162, 1215, 1082, 476, 275, 18251, 2338, 666, 581, 4646, 1210, 519, 9704, 2496, 30043, 13707, 1297, 540, 2081, 547, 1106, 476, 275, 18251, 2338, 689, 2016, 9704, 815, 476, 276, 3199, 780, 2162, 1215, 1082, 476, 275, 18251, 2338, 616, 972, 2496, 12010, 271, 2185, 7857, 2338, 454, 293, 21788, 1107, 667, 5456, 3951, 715, 9331, 289, 8991, 616, 519, 2338, 602, 723, 2185, 9704, 267, 1775, 4318, 269, 789, 723, 3283, 267, 9937, 267, 7366, 543, 5215, 4025, 269, 769, 1249, 267, 547, 1265, 519, 1297, 540, 2338, 1063, 1022, 1079, 2016, 2338, 267, 649, 946, 519, 1482, 4542, 269, 4475, 267, 972, 616, 476, 12010, 271, 2185, 7857, 2338, 538, 782, 780, 1692, 1082, 2338, 616, 972, 538, 513, 476, 275, 18251, 1297, 2496, 2467, 616, 476, 275, 2338, 630, 1415, 1297, 689, 476, 271, 268, 280, 264, 538, 513, 476, 275, 18251, 1297, 269, 1703, 616, 476, 12010, 271, 2185, 7857, 2338, 538, 782, 780, 1432, 568, 519, 10545, 476, 275, 18251, 1297, 538, 519, 1158, 2496, 763, 10545, 2185, 18251, 1297, 267, 1210, 782, 1114, 9704, 267, 568, 476, 9083, 274, 269, 634, 10545, 2185, 18251, 1297, 267, 1210, 1152, 835, 18251, 568, 476, 272, 267, 9340, 269, 634, 10545, 2185, 18251, 1297, 267, 1210, 1079, 1114, 9704, 568, 476, 272, 267, 1822, 269, 630, 272, 267, 1822, 568, 519, 2547, 2185, 18251, 1297, 1932, 1040, 0, 258, 795, 18191, 1868, 270, 4118, 692, 5472, 1250, 2979, 4967, 267, 1631, 538, 19673, 780, 8698, 519, 5741, 593, 27707, 29878, 795, 18191, 1868, 270, 4118, 692, 258, 4223, 4631, 692, 1012, 10417, 1302, 692, 12385, 4631, 540, 519, 1482, 2450, 666, 581, 3773, 543, 10208, 539, 1927, 267, 676, 4946, 610, 18946, 1142, 543, 1169, 7222, 3693, 780, 7445, 8218, 21421, 348, 476, 273, 1299, 476, 274, 1299, 476, 279, 11138, 476, 1321, 1299, 476, 279, 1299, 476, 276, 11138, 476, 273, 1299, 476, 280, 1299, 476, 277, 11138, 1422, 754, 21421, 348, 1341, 1422, 8218, 21421, 348, 476, 279, 1299, 476, 278, 1299, 476, 272, 11138, 476, 1015, 1299, 476, 866, 1299, 476, 274, 11138, 476, 278, 1299, 476, 276, 1299, 476, 273, 11138, 1422, 754, 21421, 348, 815, 1422, 8218, 21421, 348, 476, 1015, 1299, 476, 1015, 1299, 476, 280, 11138, 476, 2420, 1299, 476, 2767, 1299, 476, 279, 11138, 476, 280, 1299, 476, 1691, 1299, 476, 279, 11138, 1422, 754, 21421, 4151, 4399, 8218, 21421, 348, 476, 273, 1299, 476, 274, 1299, 476, 279, 11138, 476, 1321, 1299, 476, 279, 1299, 476, 276, 11138, 476, 273, 1299, 476, 280, 1299, 476, 277, 11138, 1422, 754, 21421, 348, 910, 1422, 8218, 21421, 348, 476, 279, 1299, 476, 278, 1299, 476, 272, 11138, 476, 1015, 1299, 476, 866, 1299, 476, 274, 11138, 476, 278, 1299, 476, 276, 1299, 476, 273, 11138, 1422, 754, 21421, 348, 815, 1422, 8218, 21421, 348, 910, 277, 1299, 910, 275, 1299, 476, 278, 11138, 476, 273, 1299, 910, 1556, 1299, 476, 273, 11138, 910, 276, 1299, 476, 275, 1299, 476, 275, 11138, 1422, 754, 21421, 10592, 1012, 2480, 531, 541, 18527, 692, 288, 5119, 666, 581, 26987, 909, 610, 1524, 267, 676, 14921, 1169, 3693, 540, 519, 5119, 676, 513, 22185, 780, 259, 276, 1422, 8218, 21421, 348, 476, 274, 1299, 476, 277, 11138, 476, 278, 1299, 476, 280, 11138, 476, 1321, 1299, 476, 274, 11138, 1422, 754, 21421, 348, 815, 1422, 8218, 21421, 348, 476, 1428, 1299, 476, 1789, 11138, 476, 3374, 1299, 476, 3393, 11138, 476, 2568, 1299, 476, 1428, 11138, 1422, 754, 21421, 10592, 1012, 19336, 18527, 692, 10521, 14290, 267, 540, 8795, 2450, 666, 581, 16611, 1927, 267, 676, 2921, 519, 12297, 1587, 540, 1142, 4737, 540, 519, 1101, 543, 1142, 6241, 540, 519, 2034, 780, 4322, 14290, 1590, 581, 968, 692, 1892, 602, 568, 267, 519, 8700, 540, 835, 1590, 581, 519, 4463, 540, 519, 824, 267, 543, 1471, 17930, 780, 763, 1184, 585, 713, 568, 547, 9062, 1142, 3693, 538, 1142, 4737, 540, 519, 1101, 5119, 676, 1142, 3693, 538, 1142, 6241, 540, 519, 2034, 267, 543, 1039, 519, 2164, 1927, 780, 259, 21982, 315, 519, 315, 29961, 315, 8605, 259, 4399, 8218, 21421, 348, 1422, 10233, 346, 1042, 2410, 272, 348, 1299, 1422, 10233, 346, 1042, 2410, 273, 348, 1299, 1422, 10233, 346, 1042, 2410, 274, 27874, 476, 275, 1299, 476, 276, 1299, 476, 277, 11138, 1422, 754, 21421, 348, 1422, 8218, 21421, 348, 1422, 10233, 346, 19990, 2410, 278, 348, 1299, 476, 279, 11138, 1422, 10233, 346, 19990, 2410, 280, 348, 1299, 476, 1015, 11138, 1422, 10233, 346, 19990, 2410, 1556, 348, 1299, 476, 1321, 11138, 1422, 754, 21421, 348, 815, 1422, 8218, 21421, 348, 1422, 10233, 346, 20580, 921, 2410, 6812, 348, 1299, 476, 5038, 11138, 476, 16928, 1299, 476, 15150, 11138, 1422, 754, 21421, 4151, 18159, 272, 7565, 278, 264, 1341, 630, 273, 7565, 280, 264, 1341, 630, 274, 7565, 1556, 264, 815, 476, 6812, 6911, 763, 4611, 5119, 786, 723, 519, 4463, 540, 519, 1101, 5119, 267, 543, 519, 8700, 540, 519, 2034, 780, 2162, 6348, 268, 5570, 583, 18356, 692, 30467, 8691, 568, 711, 862, 32477, 269, 1269, 314, 288, 6012, 289, 316, 259, 949, 1269, 284, 1496, 290, 316, 8961, 855, 1269, 314, 289, 6012, 288, 316, 259, 568, 711, 8078, 730, 547, 1269, 17342, 290, 316, 16859, 2162, 20518, 583, 2032, 692, 7212, 5119, 8691, 568, 1875, 268, 5570, 32477, 267, 621, 1281, 1832, 519, 2733, 32477, 3959, 780, 2026, 692, 1432, 1269, 314, 288, 6012, 289, 316, 259, 4564, 281, 798, 7004, 1269, 289, 8961, 1287, 7004, 1269, 288, 16859, 263, 5723, 264, 311, 815, 589, 16360, 311, 264, 0, 1012, 1323, 2561, 956, 3562, 5025, 653, 956, 18948, 540, 15525, 543, 17312, 692, 3383, 267, 519, 13864, 2557, 8593, 547, 476, 275, 269, 280, 260, 585, 5130, 269, 15525, 18793, 616, 538, 2407, 1350, 13331, 7154, 269, 5808, 666, 16620, 873, 286, 1284, 10093, 1406, 2938, 606, 13864, 2557, 713, 1970, 2094, 5988, 476, 1220, 279, 780, 2467, 779, 1175, 835, 1966, 2507, 692, 1432, 1419, 4422, 11389, 19959, 568, 519, 4074, 7589, 2557, 269, 898, 779, 1044, 19394, 630, 716, 1302, 267, 621, 779, 1044, 5594, 2810, 519, 2063, 1906, 3275, 855, 568, 1869, 1134, 2630, 1018, 621, 729, 950, 17312, 729, 538, 5604, 1040, 1306, 540, 19108, 267, 519, 4074, 7589, 2557, 267, 799, 2687, 519, 645, 11862, 568, 267, 968, 1492, 6871, 540, 519, 2551, 602, 568, 2901, 6964, 610, 32014, 630, 7474, 568, 267, 2901, 2324, 610, 8362, 5275, 960, 1040, 892, 1548, 1281, 602, 1611, 4010, 2496, 11039, 267, 1577, 779, 2161, 649, 723, 513, 4884, 540, 476, 272, 267, 1822, 1004, 269, 2913, 779, 2161, 602, 476, 12573, 1004, 538, 519, 4884, 5749, 1406, 2324, 1317, 789, 616, 2901, 19622, 610, 616, 3251, 27408, 25571, 3237, 269, 2334, 1797, 519, 4884, 779, 4074, 3196, 568, 476, 20981, 1004, 269, 634, 2979, 5654, 899, 713, 1384, 272, 267, 1822, 2551, 1107, 476, 12573, 1004, 945, 5749, 1406, 538, 519, 4074, 3196, 815, 476, 20981, 1004, 538, 519, 4074, 3196, 692, 3086, 1577, 779, 2161, 540, 519, 476, 20981, 1004, 538, 519, 4074, 3196, 267, 476, 7785, 723, 6009, 269, 2334, 1797, 476, 2004, 540, 873, 616, 32014, 269, 3776, 13864, 2557, 1131, 581, 476, 278, 269, 278, 260, 1384, 2004, 32014, 21680, 476, 20981, 4074, 3196, 815, 476, 278, 269, 278, 260, 13864, 2557, 692, 3086, 1577, 779, 2161, 3670, 3275, 1780, 543, 519, 1152, 1689, 568, 602, 476, 736, 540, 519, 5892, 32014, 1004, 2901, 4956, 547, 13166, 13649, 610, 3274, 4956, 789, 1100, 3476, 2877, 513, 2816, 269, 634, 4074, 3196, 1131, 6749, 547, 476, 30697, 1004, 269, 1403, 519, 1297, 540, 6964, 1004, 18423, 519, 1482, 693, 476, 7785, 267, 519, 1297, 540, 32014, 1131, 6749, 547, 476, 1789, 269, 634, 1007, 13864, 2557, 1131, 581, 476, 275, 269, 279, 260, 1384, 1789, 32014, 21680, 476, 30697, 4074, 3196, 815, 476, 275, 269, 279, 260, 13864, 2557, 692, 301, 5847, 2731, 4957, 4849, 875, 519, 1004, 941, 18886, 269, 3767, 1832, 602, 538, 2247, 607, 649, 1413, 693, 519, 1739, 3349, 594, 2322, 1927, 1210, 2338, 689, 519, 645, 11862, 269, 594, 25653, 909, 519, 7694, 2338, 585, 5130, 476, 1220, 280, 630, 289, 2313, 779, 2063, 3923, 538, 5604, 264, 543, 726, 28289, 873, 883, 513, 22369, 2059, 609, 19108, 779, 7694, 2338, 269, 3973, 594, 14661, 519, 2338, 547, 2992, 519, 3017, 538, 519, 4074, 7589, 2557, 269, 1548, 594, 1336, 729, 4277, 780, 15368, 1227, 267, 1018, 649, 666, 1491, 689, 519, 1657, 8642, 568, 713, 1384, 763, 1152, 3017, 1063, 5518, 15525, 779, 2338, 543, 5518, 17312, 779, 2338, 568, 519, 1689, 538, 519, 4074, 7589, 2557, 780, 1012, 6744, 4934, 22193, 23014, 5441, 779, 13188, 476, 6200, 10022, 692, 1607, 568, 1390, 269, 898, 779, 1863, 267, 855, 789, 1131, 5660, 513, 21856, 269, 634, 960, 789, 616, 3257, 568, 1271, 780, 18794, 803, 538, 2469, 998, 741, 3126, 267, 13188, 476, 6200, 780, 1012, 1548, 568, 9791, 13852, 10979, 31201, 29247, 2496, 763, 2462, 3377, 538, 1250, 5449, 554, 32528, 568, 519, 1249, 602, 9791, 13852, 10979, 31201, 568, 6368, 2469, 1394, 593, 4558, 21684, 2221, 1310, 513, 5176, 1032, 17489, 9000, 1813, 547, 519, 2754, 779, 561, 3563, 807, 535, 5362, 1723, 2063, 1032, 780, 31094, 958, 267, 594, 6557, 711, 1932, 5461, 538, 11449, 4672, 8645, 689, 513, 2754, 602, 16053, 1072, 2152, 267, 855, 594, 2007, 816, 780, 12179, 6011, 267, 835, 540, 519, 8292, 593, 835, 540, 519, 3377, 10473, 594, 1246, 5018, 1945, 827, 875, 930, 8637, 616, 1631, 12123, 811, 585, 519, 4672, 8645, 982, 982, 789, 1705, 1354, 621, 729, 3144, 1055, 519, 2344, 269, 2290, 4807, 3773, 602, 8637, 941, 12123, 968, 3467, 982, 621, 568, 4502, 14325, 2108, 5415, 982, 621, 568, 4502, 892, 2496, 1432, 1281, 602, 1611, 2496, 8005, 16976, 1018, 1945, 568, 4502, 2496, 20578, 619, 798, 2439, 7212, 649, 949, 711, 899, 621, 267, 9791, 13852, 10979, 31201, 568, 4502, 1018, 1004, 786, 2628, 585, 621, 269, 1284, 666, 1406, 16620, 21625, 585, 16462, 547, 7443, 689, 3761, 543, 3747, 269, 14755, 267, 519, 957, 540, 9870, 5777, 786, 2965, 15658, 930, 1004, 689, 9140, 811, 982, 789, 1131, 693, 2539, 5777, 267, 6028, 811, 585, 1866, 269, 2334, 1259, 811, 1004, 666, 1205, 930, 9791, 13852, 10979, 31201, 780, 15371, 649, 899, 621, 610, 711, 267, 513, 3902, 12454, 4346, 7725, 780, 1012, 25477, 7797, 585, 5437, 476, 1001, 276, 692, 16729, 616, 519, 7694, 2338, 5950, 2063, 3018, 676, 519, 645, 11862, 585, 5437, 780, 3080, 4063, 281, 21518, 519, 4074, 7589, 2557, 519, 1482, 607, 621, 729, 950, 5518, 15525, 3576, 5604, 267, 519, 13864, 2557, 1131, 581, 476, 280, 269, 278, 9077, 711, 519, 476, 276, 260, 4867, 1373, 4080, 269, 3807, 1945, 547, 1589, 827, 780, 10387, 7877, 23063, 6672, 1107, 5437, 476, 1001, 276, 454, 22261, 268, 1691, 9484, 268, 1428, 4239, 268, 1428, 8734, 268, 1428, 454, 290, 2753, 1014, 1875, 13318, 6627, 2551, 476, 27886, 267, 279, 4510, 476, 25172, 267, 23283, 476, 25172, 267, 276, 6078, 476, 25172, 267, 278, 5325, 454, 290, 2753, 1014, 4074, 3196, 476, 14444, 267, 29710, 476, 14444, 267, 278, 1428, 476, 14991, 267, 271, 2764, 476, 14991, 267, 22145, 454, 27396, 566, 2557, 476, 7830, 269, 280, 260, 476, 7830, 269, 275, 260, 476, 7830, 269, 275, 260, 476, 7830, 269, 276, 14999, 10387, 23903, 476, 15704, 267, 28664, 476, 16825, 267, 8517, 476, 14983, 267, 6344, 476, 14983, 267, 3607, 275, 454, 10387, 7877, 1790, 641, 1637, 5223, 476, 6795, 269, 273, 260, 476, 6795, 269, 273, 260, 476, 6795, 269, 274, 260, 476, 6795, 269, 274, 14999, 4462, 655, 23903, 476, 280, 267, 5881 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1543, 2047, 269, 0, 3848, 476, 280, 281, 4197, 3776, 21210, 3590, 281, 634, 8111, 12516, 525, 18738, 2974, 2439, 5970, 596, 2479, 9289, 875, 938, 1560, 24515, 1055, 17900, 543, 8952, 721, 2635, 286, 4270, 267, 621, 781, 782, 7064, 547, 938, 4761, 1062, 910, 513, 1895, 540, 2281, 267, 8031, 267, 543, 8219, 602, 960, 1927, 547, 2149, 938, 1560, 689, 5739, 28164, 899, 4551, 267, 8290, 267, 543, 15495, 780, 13914, 540, 707, 4761, 1062, 607, 513, 2319, 540, 27568, 267, 1142, 609, 741, 1378, 2027, 7060, 269, 2290, 540, 1346, 27568, 568, 1572, 606, 834, 9404, 684, 6048, 257, 910, 2576, 945, 2090, 519, 4761, 1062, 543, 922, 3252, 269, 4653, 267, 649, 2811, 2469, 547, 2743, 1079, 6909, 6375, 5505, 945, 723, 6131, 741, 2729, 547, 1620, 875, 938, 4703, 4339, 1055, 5563, 543, 3676, 780, 25603, 3220, 269, 24910, 267, 606, 4274, 538, 24684, 543, 9431, 12602, 269, 3220, 269, 24910, 22939, 1010, 2395, 2324, 609, 3744, 267, 7189, 267, 543, 2229, 8041, 547, 2327, 602, 1007, 2564, 5574, 543, 3457, 616, 2922, 543, 2500, 585, 3025, 269, 1261, 781, 2523, 5461, 538, 3384, 4255, 543, 2645, 602, 666, 948, 13209, 543, 1521, 10108, 5488, 543, 811, 8308, 780, 3080, 1259, 3220, 269, 24910, 1281, 713, 568, 676, 4974, 1945, 1572, 834, 299, 1987, 2218, 31603, 18873, 2437, 610, 31298, 25629, 585, 2110, 269, 1452, 616, 7463, 4255, 602, 22475, 1711, 547, 3713, 1808, 3676, 610, 2175, 269, 1635, 4570, 908, 891, 4255, 543, 3478, 873, 9516, 676, 9431, 8041, 267, 3220, 269, 24910, 2337, 2327, 602, 2550, 1205, 4977, 2164, 543, 3617, 2126, 780, 3086, 1577, 781, 2743, 1776, 5863, 6375, 6048, 267, 3220, 269, 700, 27232, 2006, 534, 590, 999, 327, 269, 1306, 513, 4604, 2275, 1068, 1881, 5711, 543, 3193, 650, 1993, 18432, 2619, 6048, 543, 8047, 6375, 6048, 267, 3220, 269, 590, 999, 327, 568, 606, 4274, 538, 23235, 3676, 602, 1860, 519, 5023, 267, 10265, 267, 543, 3068, 269, 1261, 3096, 5969, 12967, 2029, 543, 2553, 547, 1353, 5160, 5439, 543, 2697, 1022, 17244, 610, 4191, 540, 2068, 780, 3719, 602, 781, 711, 782, 256, 3220, 269, 590, 999, 327, 568, 849, 5595, 1532, 13635, 14468, 538, 8047, 6375, 1108, 267, 799, 1797, 646, 781, 606, 4274, 538, 875, 938, 4761, 1062, 20781, 547, 6937, 269, 1635, 9256, 1010, 6791, 538, 1312, 4610, 267, 3220, 269, 590, 999, 327, 666, 1020, 1732, 10368, 2645, 543, 11257, 585, 2550, 609, 1950, 2564, 2175, 780, 3383, 1946, 568, 621, 1271, 585, 1647, 30595, 899, 9358, 547, 1451, 827, 6375, 1108, 286, 4270, 267, 1620, 875, 938, 4761, 1062, 1568, 666, 7668, 596, 547, 1491, 5279, 540, 707, 1072, 543, 1118, 5483, 3664, 827, 707, 6197, 543, 3782, 5079, 269, 9578, 267, 1565, 827, 3579, 11678, 899, 6375, 1108, 666, 8300, 596, 547, 11654, 707, 18653, 543, 1118, 513, 3017, 538, 519, 1158, 2439, 12244, 5384, 281, 2913, 781, 27642, 649, 2811, 6375, 5505, 585, 513, 1554, 256, 4635, 2241, 7622, 3688, 630, 3697, 12508, 267, 4070, 1957, 267, 23805, 1070, 1711, 513, 3308, 6041, 540, 707, 1360, 1378, 834, 27273, 12516, 257, 4761, 1591, 269, 12315, 621, 513, 2012, 267, 4766, 922, 2027, 7060, 267, 543, 2491, 875, 621, 2337, 1832, 707, 1560, 2635, 269, 5213, 1405, 7340, 547, 2671, 707, 5137, 609, 513, 3659, 610, 1920, 4759, 543, 4001, 873, 1018, 596, 4121, 827, 6375, 1108, 2221, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 16775, 299, 5004, 12243, 454, 298, 5271, 514, 568, 606, 12913, 24684, 10324, 609, 23773, 1995, 7114, 543, 2679, 1871, 538, 9621, 1007, 4066, 998, 10319, 24416, 543, 4835, 2596, 1382, 269, 11554, 5702, 609, 9431, 8128, 693, 782, 2157, 281, 13623, 540, 1072, 267, 15111, 543, 3486, 4703, 267, 646, 814, 9141, 1646, 267, 9431, 24999, 543, 5010, 1436, 540, 3875, 3209, 4704, 8047, 4255, 543, 10001, 17762, 538, 519, 2475, 543, 1964, 540, 1158, 269, 1261, 568, 3743, 585, 15418, 543, 13170, 540, 1082, 31298, 25629, 543, 476, 27944, 330, 540, 811, 982, 476, 2004, 29508, 543, 2564, 3457, 563, 6369, 16775, 295, 7246, 2793, 301, 590, 7838, 2464, 295, 267, 667, 9169, 267, 9049, 267, 12854, 454, 7804, 269, 590, 999, 327, 568, 513, 1158, 11665, 10196, 609, 3376, 1995, 538, 5711, 6391, 267, 6375, 1108, 267, 26129, 543, 21454, 269, 1261, 568, 4604, 2275, 1068, 1881, 538, 17327, 543, 7665, 650, 1993, 18432, 11202, 1108, 676, 519, 1977, 8274, 540, 17327, 543, 7665, 650, 1993, 18432, 11202, 1108, 269, 1261, 568, 849, 4604, 11725, 730, 538, 12524, 16332, 1108, 676, 1977, 8274, 540, 6481, 12524, 16332, 1108, 269, 1261, 814, 30363, 3875, 1857, 520, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 3412, 22861, 1108, 257, 607, 851, 540, 834, 25503, 1315, 13129, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 769, 713, 1576, 1770, 267, 649, 786, 5490, 883, 519, 1950, 1184, 540, 4182, 20671, 998, 519, 7828, 540, 3486, 1894, 543, 2797, 2257, 269, 634, 1523, 540, 4182, 20671, 4016, 547, 519, 1184, 540, 2870, 513, 23887, 543, 7123, 3084, 3961, 543, 2797, 2497, 1369, 513, 8513, 269, 901, 3322, 1585, 3344, 971, 607, 1533, 20671, 267, 9872, 20671, 267, 543, 11180, 10350, 269, 1284, 786, 2263, 891, 2035, 1247, 7421, 606, 4277, 2013, 1353, 1107, 519, 3798, 1088, 1788, 676, 519, 16110, 16359, 7577, 269, 4014, 621, 949, 3100, 20775, 547, 4182, 20671, 693, 1101, 16145, 267, 713, 1383, 3091, 3407, 4030, 883, 875, 6469, 6214, 543, 3375, 6194, 666, 1764, 1804, 8397, 3785, 543, 741, 4093, 780, 13750, 20671, 281, 2311, 922, 4295, 267, 1533, 20671, 14122, 9591, 6198, 2229, 5238, 5827, 540, 3246, 1898, 2533, 543, 4509, 1931, 269, 3557, 4390, 568, 2629, 585, 4180, 3354, 267, 12419, 1514, 2533, 267, 5883, 2200, 267, 543, 5807, 2804, 1646, 269, 769, 938, 2013, 1353, 267, 4352, 519, 16110, 16359, 7577, 1185, 1713, 4853, 7207, 267, 621, 26218, 519, 2556, 1533, 6438, 3252, 2838, 547, 6707, 10131, 543, 4383, 519, 3798, 1088, 1788, 269, 1452, 3252, 3769, 2500, 2792, 267, 11558, 1063, 13623, 267, 13916, 547, 2344, 2242, 267, 543, 12905, 3210, 547, 7082, 5955, 269, 1306, 513, 1267, 267, 519, 2754, 8959, 547, 1711, 513, 1587, 602, 6949, 730, 609, 6800, 685, 7375, 267, 3056, 547, 2883, 9271, 780, 9743, 3191, 20671, 281, 30543, 616, 1949, 540, 3652, 267, 11268, 6127, 267, 543, 8155, 602, 3337, 1480, 2623, 543, 5872, 269, 16200, 5238, 3895, 12477, 267, 11413, 267, 543, 3972, 1851, 8639, 269, 1717, 267, 2679, 7347, 5238, 3217, 942, 543, 4674, 269, 769, 519, 16110, 1383, 267, 4617, 12250, 3889, 3366, 547, 3765, 23890, 1063, 1114, 6887, 3238, 538, 8888, 543, 6725, 519, 3798, 1088, 269, 3958, 267, 1283, 26933, 20495, 547, 3715, 2312, 4808, 585, 5464, 2773, 543, 15268, 2994, 1759, 593, 6075, 6547, 269, 9182, 267, 519, 11036, 11124, 1813, 547, 20849, 14422, 543, 4057, 11056, 780, 20779, 7095, 10350, 281, 14891, 10350, 5849, 7589, 267, 6041, 267, 543, 13784, 538, 13422, 1136, 3157, 269, 2755, 4357, 14078, 899, 16110, 798, 711, 14553, 1246, 11180, 3741, 267, 6220, 2609, 540, 22371, 543, 5698, 666, 1291, 547, 4824, 3375, 6194, 269, 1280, 3236, 267, 5473, 5520, 543, 5561, 538, 1883, 3664, 1522, 723, 5280, 519, 2754, 2057, 930, 25354, 2404, 609, 519, 3798, 1088, 1788, 269, 5047, 267, 2502, 5007, 4966, 1223, 723, 3177, 4195, 5380, 543, 15286, 1202, 983, 3206, 1369, 2359, 10580, 269, 1635, 8508, 10319, 2853, 267, 3906, 666, 3986, 741, 2702, 547, 4431, 3927, 547, 2591, 543, 11574, 4220, 780, 21010, 532, 519, 2250, 609, 519, 1459, 281, 16497, 6537, 689, 3140, 2665, 2611, 4143, 538, 4207, 5717, 4478, 4182, 20671, 543, 2518, 12602, 269, 3807, 607, 16110, 17388, 547, 1628, 513, 3811, 18914, 6216, 1510, 1697, 1533, 20671, 267, 9872, 20671, 267, 543, 11180, 10350, 267, 2413, 6082, 3068, 2147, 23665, 950, 12394, 547, 7794, 741, 2797, 1949, 543, 6536, 14227, 3356, 269, 14301, 6667, 689, 1967, 2984, 543, 1565, 689, 14286, 2337, 721, 2697, 1655, 2853, 543, 1761, 19363, 538, 1585, 4485, 547, 4182, 20671, 780, 1103, 3932, 267, 6313, 519, 3798, 1088, 1788, 2488, 16367, 4245, 827, 519, 2956, 540, 2178, 5238, 267, 3608, 1533, 4390, 267, 543, 8537, 3375, 6194, 3157, 538, 8236, 5551, 3853, 269, 4197, 891, 6384, 8309, 547, 3384, 1134, 25454, 2797, 3744, 945, 666, 5659, 543, 2232, 10296, 2591, 6849, 2829, 543, 7239, 1472, 519, 1158, 269, 16792, 891, 2035, 9691, 6087, 721, 547, 6218, 5571, 3646, 6322, 693, 5009, 6617, 267, 13884, 267, 543, 4708, 2066, 3309, 10923, 543, 2686, 5468, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 12024, 1034, 538, 4647, 2947, 8874, 676, 535, 1042, 15104, 5923, 17507, 5707, 19107, 1165, 15533, 1164, 1153, 10304, 1164, 1153, 13797, 1857, 8027, 267, 789, 1131, 581, 16798, 8658, 540, 3119, 267, 4052, 30268, 693, 519, 6032, 269, 540, 7965, 269, 476, 4375, 282, 970, 10407, 622, 2427, 23316, 538, 1360, 3173, 269, 476, 4375, 282, 5502, 1577, 8345, 693, 519, 16855, 2588, 538, 811, 8431, 269, 538, 519, 4470, 1239, 267, 1831, 922, 14860, 593, 5177, 20545, 2221, 1040, 1152, 267, 972, 1705, 7662, 602, 16855, 3690, 13905, 1095, 3660, 1869, 5701, 547, 2661, 693, 1732, 2152, 547, 1459, 1271, 9664, 269, 476, 276, 5952, 24340, 23809, 11386, 10104, 303, 6652, 611, 5811, 267, 2871, 24473, 12676, 263, 476, 1220, 277, 264, 10241, 543, 5830, 540, 7803, 3909, 19928, 12781, 538, 4647, 2947, 8874, 676, 535, 1042, 15104, 5923, 17507, 5707, 19107, 946, 9263, 269, 5458, 543, 2565, 8567, 602, 814, 519, 30931, 540, 9073, 543, 17600, 883, 519, 4276, 540, 623, 269, 8361, 16110, 4083, 543, 519, 5461, 3609, 606, 540, 519, 1034, 25062, 7293, 4638, 22467, 1674, 538, 3044, 267, 519, 3798, 1088, 269, 1261, 729, 2614, 513, 2221, 540, 5450, 28351, 5370, 267, 610, 513, 2872, 540, 4400, 15494, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 623, 27773, 13316, 1315, 4139, 9534, 1315, 4937, 1315, 13780, 5174, 5648, 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, 4197, 14594, 26888, 998, 2558, 604, 956, 676, 19626, 3794, 5684, 749, 692, 5970, 596, 2479, 1224, 513, 1650, 5143, 998, 5022, 286, 901, 1826, 540, 5708, 568, 1572, 19815, 565, 776, 3332, 267, 1141, 519, 1650, 4652, 9529, 998, 2854, 19359, 971, 607, 5022, 267, 15737, 267, 19701, 13366, 267, 610, 11356, 804, 2089, 902, 269, 1677, 948, 721, 1174, 4484, 10070, 1732, 267, 1577, 781, 2263, 19626, 3794, 5684, 749, 781, 4241, 835, 19840, 1404, 267, 2558, 604, 956, 256, 4014, 621, 3884, 1405, 513, 2757, 4484, 4015, 267, 649, 666, 1451, 1082, 1919, 827, 875, 3197, 5968, 543, 2769, 2933, 1875, 14620, 958, 1765, 3286, 899, 789, 798, 538, 1483, 5022, 256, 1924, 10544, 513, 21641, 543, 1205, 4712, 547, 4685, 883, 519, 1158, 540, 2558, 604, 956, 2439, 25603, 519, 16992, 281, 8422, 6468, 609, 31981, 454, 14343, 15365, 16248, 6909, 2021, 1491, 4099, 3942, 538, 2558, 604, 956, 1107, 11427, 269, 19159, 267, 11427, 269, 670, 1446, 267, 543, 11427, 269, 22642, 269, 9282, 6004, 269, 19159, 4249, 513, 1713, 1909, 1932, 267, 646, 3085, 1406, 3717, 2429, 519, 3003, 1404, 269, 27355, 1406, 602, 10578, 26834, 5502, 267, 891 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 825, 1820, 834, 23251, 273, 568, 339, 3288, 10152, 257, 0, 258, 589, 2241, 7097, 547, 711, 1518, 950, 707, 2012, 568, 1572, 630, 22238, 2406, 264, 676, 4758, 596, 513, 31015, 543, 4730, 521, 790, 333, 3280, 543, 6340, 909, 692, 258, 1215, 547, 946, 7790, 8528, 258, 1403, 4881, 519, 7097, 585, 519, 1101, 942, 2073, 946, 910, 338, 11090, 547, 14764, 8528, 258, 24269, 596, 616, 1932, 11112, 547, 7390, 630, 10112, 11167, 713, 568, 519, 2601, 264, 3097, 258, 3807, 2196, 713, 7097, 593, 12363, 543, 898, 786, 1491, 1416, 630, 22238, 2406, 2020, 5814, 4633, 318, 13440, 10744, 607, 521, 337, 454, 5814, 15259, 454, 5814, 942, 454, 5814, 2415, 27785, 454, 5814, 19523, 454, 5228, 1250, 318, 2998, 4355, 318, 1889, 564, 318, 2006, 4526, 1104, 6443, 318, 2998, 4355, 318, 1889, 564, 267, 14588, 752, 318, 1575, 692, 3698, 14764, 3890, 1384, 825, 23288, 825, 9577, 547, 14764, 519, 4408, 676, 799, 519, 7097, 786, 5431, 543, 711, 1518, 596, 454, 825, 15981, 692, 825, 3758, 318, 1410, 1235, 815, 15259, 29624, 18994, 12803, 3488, 22238, 762, 5332, 1868, 17902, 5073, 825, 952, 3758, 318, 1410, 1235, 2433, 3097, 1038, 1820, 2891, 22238, 762, 5332, 1868, 17902, 6818, 2907, 267, 7490, 2638, 952, 519, 21483, 4408, 616, 2953, 5602, 1038, 3903, 815, 3403, 2891, 2710, 596, 1869, 1616, 547, 1711, 513, 1007, 14764, 585, 4408, 7790, 2433, 1496, 312, 14672, 316, 15419, 1038, 952, 630, 2254, 3903, 264, 610, 3903, 31573, 3890, 2652, 1412, 344, 12466, 2018, 15259, 31927, 3488, 22238, 762, 5332, 1868, 17902, 17210, 1038, 3116, 912, 2018, 1820, 2891, 2750, 1746, 519, 14764, 7097, 5602, 2018, 19523, 20216, 527, 4590, 13872, 825, 678, 272, 815, 521, 337, 10611, 1815, 1758, 6500, 4590, 825, 1820, 2891, 4131, 781, 14764, 713, 907, 15419, 825, 4408, 815, 11713, 825, 1293, 815, 476, 271, 454, 825, 1247, 1293, 2999, 274, 10778, 1038, 609, 521, 337, 8160, 2222, 7483, 3890, 607, 2707, 912, 2018, 1820, 2891, 11854, 752, 707, 8745, 4425, 328, 630, 24001, 9385, 333, 2668, 8971, 6262, 870, 266, 272, 4917, 2018, 678, 272, 269, 611, 3286, 318, 1721, 318, 3711, 1304, 5332, 18857, 4433, 1830, 28504, 4851, 284, 271, 269, 273, 994, 2018, 8301, 815, 678, 272, 269, 4289, 523, 4433, 1830, 267, 874, 19189, 22710, 318, 3916, 527, 815, 476, 276, 994, 2018, 1257, 815, 678, 272, 269, 13440, 1758, 1125, 318, 2998, 4355, 5416, 644, 1470, 267, 331, 4833, 815, 1412, 523, 268, 2562, 3299, 19651, 318, 718, 18989, 994, 2018, 1820, 29495, 2020, 2018, 2119, 912, 3546, 9598, 815, 1257, 9131, 531, 1181, 894, 262, 6540, 3546, 585, 795, 538, 9598, 912, 7386, 952, 27203, 9131, 10520, 5296, 11172, 711, 538, 4408, 2187, 13376, 4408, 6910, 27203, 9131, 10520, 5296, 262, 7481, 3546, 1293, 23785, 272, 454, 2018, 4849, 7392, 13286, 912, 3546, 1820, 2891, 8923, 3717, 1586, 15419, 825, 1293, 284, 272, 454, 825, 585, 1775, 538, 4408, 2433, 3097, 1038, 1820, 2891, 346, 20467, 834, 269, 8971, 6262, 870, 1070, 328, 994, 1038, 1293, 23785, 272, 692, 825, 1820, 19629, 333, 8923, 9373, 519, 1297, 7222, 547, 4408, 596, 1589, 616, 14191, 547, 707, 2012, 5602, 825, 1820, 2891, 5415, 4408, 596, 3442, 267, 1732, 519, 7097, 786, 798, 15419, 825, 609, 1930, 3488, 22238, 762, 5332, 1868, 17902, 12887, 342, 10807, 607, 32197, 281, 3097, 1038, 1820, 19629, 333, 11767, 2338, 689, 519, 1592, 7222, 547, 519, 4408, 267, 4964, 1412, 336, 262, 547, 16718, 950, 596, 616, 2944, 14826, 5602, 1038, 10917, 8217, 815, 11713, 1038, 1247, 6936, 912, 2018, 513, 815, 3403, 3488, 10831, 540, 519, 2262, 2433, 30386, 2018, 952, 513, 31573, 3890, 2652, 1412, 336, 262, 2433, 3097, 3546, 2736, 454, 2018, 513, 815, 703, 5416, 994, 2018, 952, 513, 711, 538, 10917, 8217, 543, 513, 3436, 476, 271, 543, 513, 10922, 7003, 3799, 1868, 264, 2433, 3097, 3546, 10917, 8217, 6910, 5416, 994, 3546, 32197, 22182, 9230, 12849, 314, 320, 268, 272, 316, 22065, 315, 333, 262, 1040, 12294, 15405, 2018, 8640, 513, 538, 10917, 8217, 912, 3546, 1820, 2891, 763, 2012, 6818, 538, 519, 3758, 32405, 2018, 3116, 912, 3546, 1820, 2891, 1103, 20777, 1297, 9411, 10590, 2020, 825, 1820, 2891, 763, 14764, 568, 6192, 10590, 9239, 3698, 1832, 318, 13765, 3890, 1384, 825, 23288, 825, 9577, 547, 1832, 10992, 543, 711, 1518, 803, 8164, 2012, 630, 22238, 2406, 264, 568, 1572, 3097, 825, 23288, 825, 678, 272, 815, 521, 337, 10611, 1815, 1758, 6500, 10797, 825, 3758, 318, 1410, 1235, 815, 15259, 29624, 18994, 12803, 3488, 22238, 762, 5332, 1868, 17902, 5073, 825, 952, 711, 3758, 318, 1410, 1235, 2433, 3097, 1038, 1820, 2891, 2467, 568, 1100, 3758, 1572, 21483, 5332, 1868, 17902, 5602, 1038, 1820, 2891, 8923, 2196, 519, 7097, 609, 910, 338, 11090, 547, 14764, 5602, 1038, 19523, 20216, 527, 10797, 825, 609, 1930, 3488, 22238, 762, 5332, 1868, 17902, 10807, 607, 32197, 912, 1038, 4408, 815, 32197, 18667, 4590, 13872, 825, 4408, 815, 4408, 21858, 28361, 333, 10807, 11468, 268, 272, 2639, 825, 1820, 3799, 1868, 2020, 825, 1948, 930, 27669, 547, 2061, 11423, 909, 1250, 711, 5874, 543, 10529, 630, 912, 825, 1404, 318, 517, 576, 815, 476, 271, 454, 825, 711, 1518, 4671, 342, 823, 815, 476, 271, 454, 825, 711, 1518, 4671, 342, 823, 318, 3430, 754, 766, 815, 476, 271, 454, 825, 1247, 6936, 912, 1038, 609, 521, 337, 8160, 2222, 7483, 3890, 607, 2707, 2433, 3097, 2018, 678, 272, 269, 611, 3286, 318, 1721, 318, 3711, 1304, 5332, 18857, 4433, 1830, 267, 8653, 815, 476, 271, 269, 276, 994, 2018, 8301, 815, 678, 272, 269, 4289, 523, 4433, 1830, 267, 874, 19189, 22710, 318, 3916, 527, 815, 476, 274, 994, 2018, 1257, 815, 678, 272, 269, 13440, 1758, 1125, 318, 2998, 4355, 5416, 644, 1470, 267, 1893, 815, 1412, 523, 268, 2562, 3299, 1397, 318, 718, 18989, 994, 2018, 2119, 2433, 3097, 3546, 9598, 815, 1257, 9131, 531, 1181, 894, 23300, 3546, 585, 1775, 538, 9598, 912, 7386, 521, 815, 1775, 9131, 10520, 5296, 262, 4940, 12294, 4590, 7386, 1820, 4433, 994, 7386, 521, 815, 521, 21858, 2891, 19515, 7386, 952, 1022, 27182, 538, 4408, 585, 2262, 538, 521, 2187, 13376, 3717, 318, 1575, 3488, 7312, 8745, 568, 1373, 1572, 5073, 13376, 1820, 2891, 16100, 338, 899, 596, 616, 1572, 5602, 13376, 952, 1404, 318, 517, 576, 11203, 476, 272, 2433, 3097, 23351, 15259, 269, 17882, 3488, 320, 2452, 1547, 270, 338, 2432, 270, 531, 1068, 5334, 790, 333, 9884, 822, 5073, 23351, 1404, 318, 517, 576, 6834, 476, 272, 454, 13376, 952, 711, 1518, 4671, 342, 823, 11203, 476, 273, 281, 3097, 23351, 15259, 269, 17882, 3488, 2254, 1518, 1606, 754, 834, 2791, 616, 1572, 538, 2743, 4440, 256, 17776, 547, 2743, 8627, 257, 5073, 23351, 711, 1518, 4671, 342, 823, 6834, 272, 454, 4449, 17264, 3097, 7386, 952, 1412, 2651, 1297, 476, 1321, 262, 538, 521, 912, 13376, 3717, 318, 1575, 3488, 305, 3326, 11910, 256, 5073, 13376, 1820, 2891, 16920, 754, 766, 942, 2580, 338, 994, 13376, 952, 711, 1518, 4671, 342, 823, 318, 3430, 754, 766, 11203, 476, 273, 281, 3097, 23351, 15259, 269, 17882, 3488, 2254, 1518, 1606, 754, 834, 7312, 24305, 1297, 729, 1572, 538, 1362, 257, 5073, 23351, 711, 1518, 4671, 342, 823, 318, 3430, 754, 766, 23785, 272, 454, 7386, 952, 1412, 3430, 754, 766, 262, 538, 521, 2433, 3097, 13376, 3717, 318, 1575, 3488, 16920, 754, 766, 256, 5073, 13376, 1820, 2891, 16920, 754, 766, 942, 2580, 338, 994, 13376, 952, 711, 1518, 4671, 342, 823, 318, 3430, 754, 766, 11203, 476, 273, 281, 3097, 23351, 15259, 269, 17882, 3488, 2254, 1518, 1606, 754, 834, 16920, 754, 766, 5384, 538, 1362, 10590, 5073, 23351, 711, 1518, 4671, 342, 823, 318, 3430, 754, 766, 23785, 272, 692, 2018, 4849, 1401, 4003, 607, 552, 912, 3546, 3136, 454, 7386, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 1384, 825, 16163, 518, 815, 2415, 27785, 269, 26855, 2163, 303, 32242, 5560, 525, 5524, 815, 1412, 16920, 754, 585, 803, 5073, 825, 16163, 518, 14491, 318, 30348, 3488, 268, 338, 12887, 734, 3553, 1575, 3299, 2962, 815, 1412, 32697, 4671, 4902, 3299, 15276, 815, 1412, 13729, 1575, 519, 4408, 676, 799, 621, 786, 711, 1518, 30386, 825, 26571, 815, 16163, 518, 269, 27785, 318, 16911, 10797, 825, 952, 26571, 15630, 1575, 912, 1038, 1948, 1289, 519, 14764, 7097, 454, 1038, 14764, 4590, 825, 3116, 2433, 3097, 1038, 1948, 1280, 4152, 454, 1038, 1948, 6443, 318, 2998, 4355, 318, 1889, 564, 3488, 1889, 564, 3095, 1934, 17210, 1038, 1948, 14840, 519, 13876, 6500, 3097, 1038, 1832, 318, 13765, 10797, 0, 258, 28605, 8193, 281, 583, 325, 268, 279, 20609, 8894, 3698, 1293, 5334, 677, 17338, 2187, 453, 10946, 284, 2381, 284, 271, 454, 22610, 1775, 538, 1592, 912, 453, 14851, 1775, 2999, 1295, 912, 4848, 453, 2381, 815, 1775, 454, 453, 14851, 1775, 3436, 3193, 912, 4848, 453, 10946, 815, 1775, 3097, 453, 12248, 815, 1496, 271, 316, 2608, 630, 10946, 910, 1295, 1341, 272, 994, 22610, 795, 538, 2039, 32384, 15902, 266, 272, 2187, 453, 453, 12248, 14728, 24557, 271, 454, 22610, 4994, 538, 1592, 912, 453, 453, 12248, 27709, 15902, 316, 23785, 272, 454, 453, 8161, 284, 271, 454, 22610, 513, 538, 2039, 32384, 15902, 266, 272, 2187, 453, 22610, 524, 538, 2039, 6262, 870, 314, 320, 316, 2187, 4848, 453, 4289, 27709, 24557, 320, 266, 2381, 454, 4848, 453, 8161, 23785, 272, 454, 16596, 1592, 454, 453, 258, 418, 369, 489, 13644, 499, 16088, 454, 4289, 17342, 1015, 267, 2537, 267, 272, 267, 7871, 267, 4792, 275, 267, 7918, 267, 1626, 267, 5038, 277, 267, 4792, 267, 25628, 276, 267, 276, 5379, 267, 4029, 2639, 2745, 1293, 5334, 677, 17338, 994, 0, 258, 1592, 339, 815, 1592, 263, 9792, 263, 272, 267, 476, 1015, 4917, 258, 1820, 17338, 339, 2020, 1721, 1775, 538, 2039, 263, 272, 267, 476, 1556, 2187, 825, 952, 1775, 2652, 476, 272, 912, 1038, 1820, 6600, 257, 346, 328, 348, 560, 2580, 1439, 8782, 30386, 825, 8640, 1775, 2652, 476, 273, 912, 1038, 1820, 6600, 257, 346, 328, 348, 526, 2580, 1439, 8782, 30386, 825, 8640, 1775, 2652, 476, 274, 912, 1038, 1820, 6600, 257, 346, 328, 348, 6113, 2580, 1439, 8782, 30386, 825, 3116, 912, 1038, 1820, 6600, 257, 346, 328, 348, 628, 2580, 1439, 8782, 30386, 0, 258, 31230, 936, 513, 1305, 540, 2418, 1210, 1247, 8520, 543, 4831, 454, 12248, 815, 476, 271, 454, 2745, 3488, 28275, 5073, 6112, 1293, 2999, 476, 1015, 912, 825, 1820, 6262, 870, 267, 1412, 22207, 1439, 284, 5257, 264, 476, 1948, 851, 540, 519, 1247, 8520, 454, 825, 1293, 6834, 476, 272, 476, 1948, 849, 851, 540, 519, 1247, 8520, 454, 2745, 3890, 476, 1948, 711, 851, 540, 519, 1247, 8520, 454, 2745, 3488, 291, 821, 5073, 2745, 2891, 265, 257, 2608, 476, 1789, 9239, 258, 31230, 936, 513, 1305, 540, 2418, 538, 513, 2039, 454, 2745, 3488, 19530, 856, 2418, 538, 513, 2039, 5073, 1721, 1775, 538, 2039, 263, 271, 267, 476, 1015, 2187, 825, 1820, 9217, 267, 1412, 22207, 1439, 8782, 5073, 2745, 4590, 2745, 3488, 291, 821, 17210, 1721, 9041, 538, 2039, 263, 271, 267, 476, 1015, 2187, 825, 1820, 3488, 269, 3299, 1439, 8782, 5073, 2745, 4590, 0, 31184, 815, 703, 9272, 2891, 1432, 568, 519, 2837, 281, 27328, 338, 852, 532, 815, 3403, 2891, 3674, 621, 6777, 532, 286, 281, 9373, 1422, 257, 8133, 315, 257, 610, 1422, 257, 5591, 315, 257, 834, 2020, 604, 10917, 13843, 476, 271, 543, 6777, 532, 2652, 834, 5591, 13426, 825, 1820, 2891, 5591, 6777, 267, 1100, 25192, 543, 649, 786, 581, 2348, 513, 4411, 4235, 5602, 19197, 10917, 13843, 476, 271, 543, 6777, 532, 2652, 834, 8133, 13426, 825, 1820, 2891, 21607, 593, 707, 25192, 543, 649, 786, 581, 2348, 513, 4411, 4235, 5602, 19197, 10917, 2999, 476, 271, 912, 825, 1820, 2891, 2005, 568, 16171, 5602, 825, 952, 6777, 532, 2652, 834, 8133, 13426, 1038, 1820, 2891, 2005, 568, 849, 6777, 532, 267, 2322, 593, 707, 25192, 5602, 825, 8640, 6777, 532, 2652, 834, 5591, 13426, 1038, 1820, 2891, 2005, 568, 711, 6777, 532, 267, 865, 1100, 991, 585, 25192, 5602, 825, 1820, 2891, 11742, 585, 3905, 10217, 5602, 2745, 2891, 3528, 324, 5602 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 300, 28854, 5211, 630, 29910, 994, 347, 13126, 1475, 338, 11322, 1166, 1678, 540, 6778, 853, 269, 4477, 839, 2008, 347, 268, 4087, 1475, 24992, 5101, 667, 727, 543, 1744, 334, 652, 2590, 3794, 659, 1512, 267, 717, 858, 867, 18237, 577, 582, 2817, 11206, 2008, 347, 268, 15038, 1475, 276, 267, 271, 2537, 10264, 630, 272, 267, 276, 4029, 544, 264, 11406, 347, 268, 4087, 1475, 338, 2775, 569, 25318, 540, 27997, 1763, 969, 7546, 2008, 347, 268, 15038, 1475, 272, 267, 31239, 10264, 630, 28766, 544, 264, 11406, 347, 21920, 1475, 3066, 269, 279, 11465, 630, 4366, 5998, 264, 11406, 347, 15368, 514, 1475, 31620, 13483, 11465, 630, 3445, 280, 5998, 273, 264, 11406, 347, 11514, 8408, 1475, 1721, 476, 271, 269, 276, 5195, 630, 271, 269, 279, 5998, 264, 689, 519, 5023, 2008, 347, 268, 3328, 1475, 279, 4792, 24140, 10264, 4882, 630, 2190, 544, 274, 4882, 264, 11406, 347, 268, 3193, 1475, 1839, 267, 1822, 24140, 10264, 4882, 630, 3583, 279, 544, 274, 4882, 10245, 347, 268, 1295, 1475, 14631, 24140, 10264, 4882, 630, 275, 544, 274, 4882, 10245, 19613, 540, 519, 5023, 540, 631, 28854, 5211, 538, 6115, 454, 763, 631, 28854, 5211, 568, 513, 6908, 267, 827, 476, 3066, 5195, 630, 5325, 5998, 264, 1279, 267, 22703, 540, 6778, 853, 269, 4477, 839, 538, 519, 772, 2529, 269, 1533, 540, 6115, 269, 634, 631, 28854, 5211, 8928, 5045, 1700, 338, 11322, 543, 26082, 519, 11066, 5211, 1175, 1657, 519, 27997, 1763, 969, 7546, 269, 634, 11066, 5211, 8928, 7178, 543, 568, 513, 29815, 776, 547, 519, 12052, 5211, 269, 634, 7532, 1166, 1678, 540, 6778, 853, 269, 4477, 839, 568, 1369, 519, 24659, 540, 631, 28854, 15880, 563, 7628, 519, 476, 2735, 271, 20349, 540, 6778, 853, 269, 4477, 839, 267, 561, 1695, 1513, 630, 14179, 4754, 1227, 14001, 16095, 543, 11935, 8928, 264, 25626, 998, 922, 8756, 269, 6168, 476, 13670, 5195, 630, 24241, 5998, 264, 540, 6908, 9055, 1472, 519, 18962, 941, 4299, 676, 561, 1695, 1513, 563, 763, 2136, 2276, 11206, 6796, 15387, 519, 631, 28854, 5211, 20266, 5371, 13505, 267, 1985, 547, 519, 5757, 543, 547, 11206, 10003, 476, 1839, 538, 519, 717, 858, 867, 18237, 577, 582, 2817, 11206, 269, 3004, 2812, 3444, 519, 5757, 593, 922, 5580, 10301, 563, 300, 28854, 5211, 24865, 693, 827, 519, 476, 276, 267, 1822, 20356, 630, 272, 267, 4335, 544, 264, 1377, 593, 519, 22703, 2427, 540, 6778, 853, 269, 4477, 839, 538, 519, 595, 2444, 1228, 16186, 269, 634, 5757, 2707, 568, 1369, 6778, 853, 269, 4477, 839, 2817, 26439, 545, 31790, 543, 717, 858, 867, 18237, 577, 582, 2817, 11206, 269, 1744, 334, 652, 2590, 3794, 659, 1512, 568, 547, 519, 1318, 543, 5101, 667, 727, 568, 547, 519, 2451, 269, 10046, 532, 22703, 1524, 14869, 19527, 267, 519, 5757, 14258, 25921, 547, 519, 22583, 1175, 3564, 519, 476, 274, 267, 1822, 20356, 630, 280, 1015, 544, 264, 1377, 540, 519, 18962, 269, 3371, 519, 5757, 22613, 11206, 10003, 476, 10695, 543, 10596, 519, 589, 701, 24258, 20417, 3650, 543, 519, 700, 6072, 24258, 19873, 633, 13505, 267, 1312, 593, 519, 2451, 267, 1354, 10024, 631, 28854, 5211, 717, 5282, 563, 23044, 532, 22583, 998, 519, 27905, 267, 519, 6908, 32168, 525, 936, 1614, 1216, 17517, 1354, 6932, 689, 519, 562, 541, 4900, 543, 1225, 1324, 25921, 1586, 547, 519, 22703, 269, 3371, 595, 8735, 8235, 568, 593, 519, 2451, 267, 8055, 15880, 13788, 689, 519, 2451, 267, 543, 8055, 15880, 20417, 3650, 568, 593, 519, 1318, 269, 590, 2775, 569, 19654, 540, 519, 13009, 3650, 267, 519, 5757, 3762, 519, 3084, 15027, 15224, 855, 3788, 538, 519, 3084, 4104, 269, 2311, 827, 519, 476, 272, 267, 10384, 20356, 630, 26392, 544, 264, 1377, 267, 13068, 4248, 15880, 13788, 689, 519, 2451, 269, 5695, 940, 5045, 267, 519, 5757, 1784, 1742, 1447, 6385, 267, 8429, 896, 11206, 10003, 476, 1839, 543, 1287, 8391, 13068, 15880, 689, 519, 2451, 827, 476, 276, 5195, 630, 279, 5998, 264, 689, 519, 5023, 269, 2311, 519, 4155, 15385, 267, 631, 28854, 15880, 20266, 5371, 13505, 568, 593, 519, 2451, 563, 19350, 519, 1476, 26475, 609, 13068, 15880, 267, 519, 5757, 803, 32752, 998, 595, 25729, 4469, 1846, 267, 3762, 519, 3084, 4104, 5594, 811, 982, 513, 13304, 689, 519, 5023, 267, 543, 10596, 513, 2136, 2276, 24959, 11752, 630, 4785, 14899, 264, 6908, 15378, 267, 593, 519, 2451, 476, 271, 269, 276, 5195, 630, 271, 269, 279, 5998, 264, 689, 519, 5023, 269, 631, 28854, 5211, 13788, 519, 11066, 5211, 827, 476, 2568, 5195, 630, 9032, 5998, 264, 689, 519, 3677, 6908, 781, 5023, 593, 519, 12052, 5211, 563, 763, 2475, 14899, 21697, 519, 2095, 540, 631, 28854, 5211, 693, 513, 6728, 476, 271, 269, 276, 5195, 630, 271, 269, 279, 5998, 264, 25318, 540, 519, 1476, 26475, 609, 519, 11066, 5211, 269, 634, 3328, 2095, 540, 519, 5757, 1282, 476, 7918, 1216, 1296, 267, 1519, 476, 2735, 275, 1700, 1001, 272, 267, 568, 476, 279, 4792, 12945, 3952, 829, 2034, 630, 2190, 269, 276, 544, 274, 4882, 1040, 634, 5021, 2095, 6592, 729, 476, 1839, 267, 1822, 12945, 3952, 829, 2034, 630, 278, 1015, 544, 274, 4882, 264, 593, 5988, 476, 279, 267, 476, 1960, 277, 267, 543, 519, 5934, 2095, 729, 476, 11463, 12945, 3952, 829, 2034, 630, 273, 269, 278, 544, 274, 4882, 264, 593, 5412, 476, 276, 1700, 278, 267, 476, 4572, 280, 269, 634, 1164, 2095, 538, 476, 1960, 277, 729, 2404, 609, 2489, 14700, 538, 519, 7414, 19566, 1282, 519, 4024, 600, 8291, 9503, 24627, 540, 476, 1960, 277, 563, 288, 6360, 10032, 606, 4505, 4528, 540, 519, 15378, 538, 5130, 476, 3192, 275, 269, 634, 4540, 15378, 3459, 10916, 1239, 538, 5239, 476, 2735, 274, 269, 634, 16095, 6503, 6360, 1644, 547, 519, 20349, 540, 6778, 853, 269, 4477, 839, 538, 476, 2735, 271, 7018, 3544, 519, 1974, 540, 2594, 585, 2901, 15378, 563, 268, 11905, 15038, 6508, 689, 5616, 3047, 3406, 1210, 717, 301, 3041, 2707, 10974, 563, 268, 834, 300, 28854, 5211, 2668, 22127, 18780, 6176, 3590, 630, 294, 301, 3041, 1040, 2136, 2276, 24959, 11752, 269, 5181, 476, 1015, 267, 476, 3192, 280, 269, 8158, 5130, 476, 2764, 267, 476, 1001, 274, 563, 268, 834, 299, 1168, 529, 5211, 667, 1778, 720, 2668, 2136, 2276, 24959, 11752, 269, 4873, 476, 1015, 267, 476, 1220, 279, 269, 8158, 5130, 476, 2764, 267, 476, 1001, 274, 563, 268, 834, 12850, 5937, 1092, 7797, 476, 1001, 272, 281, 476, 16318, 13679, 876, 631, 28854, 5211, 12989, 13068, 15880, 267, 14033, 21676, 3258, 267, 26146, 257, 630, 14457, 1040, 2136, 2276, 24959, 11752, 269, 8158, 5130, 476, 2764, 267, 476, 1001, 274, 563, 268, 2136, 2276, 24959, 11752, 630, 1960, 279, 1040, 11683, 10281, 6331, 545, 17972, 538, 519, 6778, 853, 269, 4477, 839, 16323, 630, 24961, 1040, 5291, 2517, 341, 592, 4754, 9884, 337, 30994, 7714, 10993, 270, 14157, 4754, 3996, 270, 5960, 295, 19072, 2355, 8276, 777, 318, 916, 327, 318, 5139, 549, 6958, 324, 2137, 11258, 269, 8158, 5130, 476, 2764, 267, 476, 1001, 274, 563, 268, 5696, 656, 2917, 282, 5295, 630, 2735, 276, 1040, 834, 5719, 11421, 10046, 338, 267, 631, 644, 6503, 338, 267, 808, 7238, 330, 592, 25632, 879, 1186, 267, 543, 700, 1695, 1513, 281, 700, 1695, 541, 8791, 2668, 2475, 24959, 11752, 595, 2444, 3547, 26439, 334, 25076, 269, 8158, 5181, 476, 273, 267, 476, 1001, 271, 563, 268, 834, 300, 28854, 5211, 20266, 5371, 13505, 2668, 2136, 2276, 11206, 6796, 269, 8158, 5130, 476, 2764, 267, 476, 1001, 274, 563, 268, 2136, 2276, 24959, 11752, 269, 834, 18197, 2276, 5440, 4919, 10934, 2668, 5440, 334, 5226, 652, 269, 8158, 5130, 476, 2764, 267, 476, 1001, 274, 269, 5211, 5195, 616, 6825, 593, 519, 4786, 9076, 9201, 585, 519, 2539, 631, 28854, 5211, 543, 519, 11066, 5211, 563, 268, 834, 288, 701, 24258, 20417, 3650, 2668, 2136, 2276, 11206, 6796, 269, 8158, 5130, 476, 2764, 267, 1001, 274, 563, 268, 13177, 267, 6723, 670, 269, 630, 1960, 277, 1040, 834, 763, 4279, 24627, 540, 476, 1960, 277, 2668, 14822, 3557, 2160, 269, 21444, 689, 519, 3312, 593, 4728, 476, 275, 267, 476, 1220, 278, 269, 8158, 4989, 476, 274, 267, 476, 1220, 277, 269, 0, 257, 31807, 523, 657, 1019, 553, 2580, 834, 25975, 523, 553, 562, 665, 1127, 257, 4534, 713, 729, 519, 1101, 1913, 538, 513, 4914, 1893, 594, 4862, 538, 1250, 1272, 267, 607, 513, 1614, 4458, 2025, 7911, 3395, 909, 538, 3384, 2022, 21351, 5375, 5125, 267, 1141, 519, 1101, 8819, 541, 18464, 619, 1185, 8452, 689, 8050, 269, 26812, 3990, 676, 519, 9490, 4992, 267, 594, 6836, 547, 1205, 547, 917, 930, 811, 4654, 267, 519, 1152, 4316, 1373, 7641, 6030, 540, 2296, 543, 3943, 4534, 972, 729, 1100, 4914, 1893, 2069, 585, 840, 268, 10117, 1153, 1453, 538, 5125, 2943, 538, 1346, 2395, 269, 3367, 811, 454, 2414, 1265, 930, 4267, 7033, 7557, 534, 7710, 519, 1893, 781, 1459, 543, 2250, 267, 543, 5654, 6619, 547, 922, 20304, 1851, 519, 835, 543, 513, 3368, 5479, 1004, 945, 3717, 621, 269, 3571, 3406, 568, 4241, 543, 1271, 267, 585, 8847, 540, 2296, 723, 6766, 2069, 543, 1876, 538, 1082, 2477, 543, 5280, 3337, 519, 9163, 540, 1346, 945, 2661, 538, 873, 563, 1607, 4320, 2488, 513, 1007, 5133, 593, 519, 4720, 540, 519, 2027, 1893, 540, 4915, 267, 1759, 593, 519, 5907, 24402, 540, 7216, 7073, 2296, 6481, 31157, 267, 5627, 936, 1079, 2929, 1913, 540, 2564, 1603, 689, 476, 5611, 271, 547, 476, 10204, 271, 563, 1607, 1433, 6799, 513, 4161, 547, 519, 4922, 13463, 671, 13429, 602, 1480, 454, 331, 16722, 616, 1312, 2147, 543, 3586, 538, 741, 4110, 540, 6988, 269, 1280, 454, 320, 4627, 1296, 610, 811, 519, 8471, 7862, 540, 4654, 814, 1044, 513, 454, 1084, 564, 540, 5132, 1851, 1034, 10236, 5505, 543, 8059, 1235, 269, 898, 814, 1044, 454, 325, 18526, 4359, 607, 513, 30997, 547, 519, 2856, 602, 930, 4654, 616, 693, 454, 320, 2663, 3942, 540, 4720, 982, 1866, 269, 898, 849, 5526, 547, 581, 606, 17149, 454, 719, 2492, 540, 835, 540, 519, 3844, 24936, 1682, 540, 30462, 10409, 3069, 281, 602, 454, 1492, 2790, 6189, 540, 1893, 568, 6378, 543, 568, 3976, 9838, 538, 782, 454, 331, 16722, 543, 602, 6466, 6090, 11457, 4654, 798, 711, 563, 257, 23458, 29203, 607, 606, 5345, 6295, 24438, 257, 556, 641, 839, 519, 7521, 269, 2983, 32015, 454, 306, 10102, 517, 781, 2606, 3184, 556, 7721, 26952, 543, 5587, 5809, 519, 10206, 543, 454, 1492, 648, 3749, 2956, 540, 6988, 538, 1893, 267, 23316, 267, 5042, 454, 14396, 267, 543, 4720, 269, 20640, 8696, 13747, 5640, 689, 782, 936, 519, 454, 16447, 1287, 1413, 693, 2963, 29742, 539, 689, 741, 1378, 1382, 538, 1931, 547, 454, 516, 29264, 2436, 4654, 798, 610, 798, 711, 8858, 519, 1482, 5232, 543, 454, 11779, 338, 540, 6988, 269, 1358, 4983, 1239, 689, 513, 2647, 2039, 540, 2053, 543, 454, 17541, 269, 1358, 2015, 519, 6402, 1063, 10409, 2497, 543, 1514, 454, 1260, 14658, 640, 543, 9305, 741, 4681, 547, 519, 3123, 543, 3157, 540, 454, 331, 4833, 1689, 269, 4256, 7440, 616, 4749, 11786, 543, 454, 2889, 22106, 894, 282, 741, 8753, 1039, 909, 547, 606, 1271, 4161, 547, 454, 935, 14846, 2093, 827, 519, 2470, 540, 1893, 563, 763, 4589, 2328, 1224, 2406, 543, 1569, 4601, 609, 1100, 973, 6847, 547, 11991, 454, 329, 3779, 269, 901, 4241, 1433, 786, 9029, 547, 782, 1346, 5461, 538, 519, 454, 5793, 30447, 1063, 1480, 2470, 267, 2528, 267, 543, 1893, 269, 0, 16675, 24711, 568, 513, 9341, 1977, 3529, 799, 568, 23963, 1634, 607, 744, 322, 1774, 320, 11425, 23706, 328, 269, 901, 3529, 568, 1634, 547, 3132, 4158, 267, 3039, 880, 543, 14463, 3574, 269, 5682, 24711, 849, 4016, 547, 1022, 3574, 5833, 689, 891, 4054, 563, 272, 16952, 8382, 454, 16485, 2593, 8382, 585, 912, 6343, 568, 519, 4214, 540, 3039, 24711, 454, 320, 3162, 1977, 3529, 267, 744, 322, 1774, 320, 630, 528, 715, 624, 18588, 264, 11425, 773, 328, 267, 540, 519, 31444, 331, 1920, 267, 27548, 513, 2182, 267, 14463, 3574, 1419, 1031, 585, 627, 541, 1407, 543, 13123, 543, 538, 6928, 20761, 563, 1415, 540, 1978, 824, 16025, 4054, 540, 9341 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 281, 476, 1321, 476, 16006, 26486, 6995, 267, 5420, 20836, 543, 476, 2004, 13728, 4411, 1216, 780, 1012, 1772, 476, 273, 18324, 9398, 540, 6995, 1932, 1454, 2496, 4913, 267, 593, 3328, 267, 519, 2360, 540, 14933, 689, 476, 273, 18324, 9398, 540, 8216, 6995, 630, 325, 571, 653, 2946, 264, 949, 2063, 585, 476, 274, 268, 276, 3108, 269, 898, 781, 1271, 547, 4063, 602, 7050, 14933, 6981, 666, 723, 2942, 2360, 593, 1072, 267, 865, 621, 781, 5227, 547, 8532, 621, 538, 20208, 780, 1012, 1215, 1082, 18324, 9398, 568, 513, 6995, 1085, 17274, 2496, 2026, 5018, 1657, 267, 596, 666, 946, 513, 29537, 610, 23188, 547, 2268, 856, 707, 6995, 269, 2422, 476, 273, 26486, 585, 835, 1085, 17274, 610, 476, 277, 18324, 9398, 585, 835, 1085, 17274, 780, 1012, 1215, 1082, 13728, 568, 513, 6995, 1085, 17274, 2496, 288, 1377, 1085, 17274, 540, 6995, 1058, 2270, 1079, 26486, 540, 6995, 267, 799, 616, 5111, 476, 1015, 10101, 610, 476, 271, 269, 3607, 13728, 780, 1012, 1548, 6995, 5223, 1281, 10060, 321, 15085, 946, 2496, 4263, 10060, 321, 15085, 267, 789, 946, 1079, 26486, 267, 610, 476, 1015, 10101, 630, 271, 269, 3374, 12063, 1070, 540, 2666, 6995, 585, 1142, 3670, 13728, 540, 1216, 269, 589, 4759, 540, 10060, 321, 15085, 262, 24334, 4065, 12243, 3081, 602, 834, 32451, 1906, 6995, 12406, 1267, 538, 936, 268, 2169, 26167, 610, 15280, 6995, 780, 1012, 1215, 1082, 26486, 616, 538, 513, 7484, 540, 6995, 2496, 1103, 2489, 267, 513, 29537, 540, 6995, 11224, 5111, 476, 1015, 269, 277, 10101, 269, 1924, 267, 585, 513, 7484, 540, 6995, 267, 596, 786, 1616, 547, 946, 476, 272, 476, 16006, 547, 476, 273, 26486, 540, 6995, 20836, 338, 269, 1284, 2811, 711, 6158, 827, 8216, 6995, 14848, 267, 855, 12406, 689, 4890, 6995, 10365, 269, 1403, 596, 616, 1210, 1085, 334, 3591, 267, 596, 3513, 1616, 519, 1085, 17274, 547, 581, 3160, 547, 476, 273, 26486, 780, 1012, 1548, 616, 519, 1614, 570, 781, 540, 6995, 28823, 2496, 763, 8422, 17578, 269, 634, 8422, 17578, 540, 13674, 616, 14626, 1211, 958, 519, 1482, 8422, 17578, 540, 6995, 1107, 942, 267, 2837, 267, 543, 31285, 780, 1012, 1548, 568, 476, 272, 476, 273, 5223, 6995, 2496, 288, 476, 272, 281, 273, 5223, 1797, 585, 1169, 6121, 540, 6995, 538, 707, 11127, 267, 596, 786, 6556, 476, 273, 10101, 540, 5277, 17611, 637, 810, 269, 6056, 540, 1786, 342, 12753, 607, 513, 18440, 3815, 269, 1403, 596, 723, 811, 9570, 267, 596, 666, 1118, 811, 17611, 637, 810, 1107, 1369, 2601, 267, 540, 1576, 780, 1012, 1548, 568, 513, 6653, 6995, 5223, 2496, 26574, 540, 24334, 2433, 13379, 540, 4826, 692, 288, 1434, 5223, 547, 1376, 609, 568, 476, 272, 281, 1428, 269, 476, 272, 281, 1321, 568, 513, 1360, 9395, 5223, 543, 621, 11729, 606, 7920, 267, 6505, 7484, 269, 589, 5223, 540, 476, 272, 281, 1704, 568, 2808, 513, 2647, 5223, 543, 621, 11729, 513, 6653, 267, 7646, 7484, 780, 1012, 1548, 6995, 547, 946, 538, 513, 30620, 6995, 20536, 2496, 1432, 1826, 540, 6995, 1058, 596, 946, 538, 513, 30620, 6995, 20536, 286, 898, 568, 1655, 547, 946, 6995, 10365, 602, 723, 1044, 2666, 547, 513, 5420, 20836, 538, 513, 30620, 6995, 3684, 269, 1411, 666, 19584, 782, 540, 938, 30756, 4315, 547, 1265, 513, 887, 770, 610, 8137, 602, 1655, 17015, 707, 6492, 780, 1012, 1548, 568, 519, 11344, 5223, 585, 476, 279, 11680, 540, 6995, 2496, 1607, 5223, 540, 476, 272, 281, 1428, 610, 476, 272, 281, 1240, 2488, 519, 3501, 10868, 540, 519, 8137, 540, 6995, 10365, 269, 1411, 666, 4188, 519, 5223, 547, 7794, 610, 14020, 707, 7484, 540, 6995, 780, 1012, 22108, 692, 2791, 1522, 849, 899, 454, 28082, 9708, 454, 30238, 24762, 454, 20684, 1344, 692, 12041, 281, 715, 987, 3570, 601, 13391, 3518, 778, 692, 8310, 21213, 281, 476, 866, 270, 6349, 270, 1708, 275, 692, 21366, 281, 476, 25118, 277, 692, 305, 908, 281, 476, 275, 269, 275, 1315, 476, 276, 630, 4037, 20366, 2020, 12041, 1344, 692, 11243, 281, 715, 987, 3570, 601, 13391, 3518, 778, 692, 289, 9500, 1485, 281, 476, 1960, 279, 268, 1321, 268, 6349, 692, 11754, 816, 281, 589, 696, 269, 476, 279, 3066, 476, 4037, 272, 3794, 1478, 7348, 267, 4639, 2107, 1633, 334, 267, 5442, 476, 23470, 3607, 692, 17490, 281, 1341, 3445, 272, 28276, 25971, 6812, 272, 692, 297, 984, 281, 18378, 8668, 18509, 13541, 692, 295, 984, 2421, 281, 25511, 8243, 603, 532, 267, 16359, 5026, 267, 674, 2391, 267, 4787, 328, 532, 267, 14208, 14563, 267, 6181, 334, 2679, 267, 10979, 1236, 908, 692, 7072, 281, 3733, 2012, 568, 715, 987, 3570, 601, 13391, 3518, 778, 267, 594, 993, 513, 9735, 267, 8799, 267, 4619, 16124, 267, 12703, 267, 2635, 267, 20036, 267, 32219, 1268, 945, 14560, 1603, 543, 6499, 547, 2671, 1250, 1702, 543, 1620, 609, 596, 269, 0, 1993, 476, 2641, 692, 1892, 4266, 2022, 692, 1626, 9539, 990, 268, 1001, 275, 454, 1892, 21145, 692, 1892, 2070, 692, 274, 269, 13078, 692, 271, 692, 307, 8980, 306, 1384, 1892, 1599, 540, 4632, 692, 21615, 539, 12025, 630, 29210, 2020, 9188, 5524, 692, 15035, 9695, 2073, 15035, 3830, 267, 835, 1083, 8475, 2073, 9756, 11664, 267, 15895, 2079, 267, 9695, 3830, 2073, 12048, 4925, 529, 562, 3121, 267, 2923, 267, 2923, 513, 761, 8714, 320, 267, 12048, 4925, 529, 562, 3121, 267, 2733, 1075, 542, 544, 652, 745, 531, 267, 5470, 1609, 663, 541, 267, 5470, 9133, 334, 272, 267, 5470, 9133, 334, 1556, 267, 795, 846, 524, 842, 1258, 267, 544, 9346, 275, 15276, 2593, 5291, 2517, 4178, 269, 3387, 320, 275, 15276, 2593, 692, 1892, 476, 272, 269, 29865, 269, 476, 27898, 454, 291, 12442, 281, 476, 280, 270, 271, 2918, 270, 6021, 454, 297, 5308, 292, 595, 2562, 15045, 2177, 267, 300, 10621, 692, 273, 269, 12430, 9695, 454, 30791, 9695, 8942, 547, 2203, 519, 2078, 1063, 1079, 4632, 676, 17501, 513, 5276, 3830, 547, 4767, 1239, 563, 3080, 4756, 568, 2808, 547, 581, 606, 28706, 4756, 267, 543, 519, 824, 568, 2808, 547, 581, 513, 8200, 4756, 454, 274, 269, 12430, 9695, 454, 6524, 12394, 547, 3514, 513, 5276, 2203, 547, 4767, 1239, 267, 513, 2203, 518, 1058, 1101, 3313, 2436, 610, 711, 972, 568, 513, 2078, 1063, 519, 4632, 540, 1719, 563, 1607, 1281, 711, 8209, 17538, 602, 835, 4756, 3123, 519, 824, 267, 855, 602, 972, 568, 930, 1713, 7681, 1063, 519, 1079, 4632, 454, 275, 269, 12430, 9695, 454, 288, 5276, 9695, 1899, 814, 606, 3830, 540, 519, 1106, 454, 312, 815, 513, 1341, 536, 311, 267, 1141, 2473, 568, 519, 28706, 4756, 543, 962, 568, 519, 8200, 4756, 563, 763, 9386, 540, 519, 1899, 568, 536, 267, 543, 513, 568, 519, 18448, 630, 1492, 1871, 540, 586, 950, 1535, 815, 476, 271, 1916, 276, 269, 1403, 519, 3804, 568, 12605, 267, 610, 20925, 267, 5276, 9695, 666, 581, 1031, 547, 3514, 513, 16762, 2203, 547, 606, 4767, 1239, 1305, 540, 586, 543, 2473, 2418, 563, 277, 269, 4856, 21975, 3213, 324, 2310, 454, 17357, 21975, 11664, 6920, 519, 4222, 543, 4287, 540, 513, 5276, 2078, 1063, 1079, 4351, 4632, 563, 1103, 2489, 8579, 6165, 267, 9756, 4016, 547, 519, 22576, 540, 1079, 4351, 4632, 689, 7115, 563, 278, 269, 21942, 1587, 2173, 30291, 14585, 21975, 11664, 454, 288, 1297, 540, 1114, 14170, 616, 1031, 585, 1114, 3871, 563, 763, 1655, 1634, 568, 519, 21942, 1587, 4090, 9756, 11664, 267, 799, 568, 5833, 676, 12270, 519, 31809, 540, 519, 1079, 4632, 676, 519, 1587, 540, 741, 3044, 24017, 563, 279, 269, 21942, 1587, 2173, 30291, 9756, 11664, 563, 763, 9756, 11664, 2473, 267, 962, 1063, 1079, 4351, 4632, 2473, 543, 962, 609, 4397, 2418, 2473, 663, 962, 543, 3044, 24017, 2473, 543, 962, 568, 3989, 607, 1384, 19489, 300, 308, 6369, 454, 280, 269, 1763, 573, 783, 2079, 454, 763, 2079, 540, 15895, 338, 4249, 606, 1271, 1909, 538, 4570, 908, 519, 9695, 2203, 269, 1403, 519, 5470, 2165, 538, 519, 9695, 2203, 25389, 519, 2185, 10054, 267, 1287, 519, 2203, 568, 2808, 4570, 563, 7712, 519, 8579, 4255, 585, 4644, 616, 849, 593, 891, 10054, 267, 8753, 4611, 689, 891, 4644, 1257, 616, 1572, 883, 2243, 563, 1015, 269, 901, 1826, 540, 6772, 4660, 4729, 568, 3730, 585, 6029, 519, 2078, 1063, 519, 1239, 543, 519, 10567, 2418, 689, 519, 9695, 1599, 563, 1556, 269, 22953, 2079, 454, 8269, 619, 547, 2553, 585, 9781, 543, 7421, 1896, 4632, 267, 950, 519, 1445, 568, 593, 519, 2078, 1063, 513, 8200, 4756, 543, 835, 528, 811, 7115, 4632, 563, 5415, 4481, 267, 9695, 2079, 2337, 721, 1174, 875, 519, 6093, 1871, 540, 519, 454, 323, 8817, 4756, 2242, 950, 1022, 835, 540, 519, 785, 8817, 4632, 568, 9867, 267, 1247, 519, 824, 4830, 4632, 616, 4371, 6378, 563, 1321, 269, 634, 9695, 3830, 9388, 609, 519, 1739, 4632, 912, 763, 7164, 6724, 20922, 607, 6902, 713, 949, 581, 513, 22185, 610, 513, 6152, 540, 3259, 737, 563, 763, 4830, 4632, 311, 563, 763, 8200, 4756, 267, 962, 563, 8802, 1833, 3830, 568, 513, 1599, 540, 4632, 2473, 543, 4586, 1724, 269, 22953, 2079, 454, 8802, 1833, 2079, 568, 4922, 1031, 585, 12605, 630, 10175, 20925, 540, 942, 1606, 7685, 1239, 1916, 8196, 540, 9695, 2079, 585, 12605, 814, 8101, 16937, 609, 519, 2361, 540, 3684, 1565, 563, 8802, 1833, 2079, 568, 849, 1031, 547, 1174, 799, 1851, 519, 4830, 4632, 616, 1644, 547, 519, 8200, 4756, 267, 543, 547, 2263, 519, 3029, 540, 891, 3347, 563, 1691, 269, 9012, 513, 761, 8714, 320, 454, 303, 528, 4302, 3288, 2923, 513, 761, 31198, 3821, 632, 19448, 18665, 652, 571, 1100, 1965, 796, 1207, 523, 3934, 11456, 632, 3288, 2923, 632, 3288, 533, 29793, 659, 514, 888, 19324, 24534, 513, 17485, 1130, 2803, 17119, 657, 269, 3143, 1965, 973, 558, 754, 762, 900, 921, 541, 5055, 679, 2733, 1075, 542, 525, 544, 8500, 607, 574, 339, 878, 553, 15301, 22209, 785, 848, 607, 22015, 571, 24140, 18372, 3288, 1217, 659, 514, 1965, 12165, 320, 679, 19448, 18665, 652, 571, 267, 1130, 2803, 544, 8500, 607, 574, 339, 878, 657, 6446, 1100, 694, 533, 732, 322, 523, 679, 562, 3385, 264, 13961, 694, 900, 921, 534, 4632, 771, 4038, 553, 522, 24140, 14515, 2275, 783, 18945, 643, 553, 267, 3288, 2923, 513, 761, 31198, 3821, 533, 4240, 324, 1100, 829, 1084, 324, 1356, 620, 8580, 2863, 334, 632, 1130, 2803, 632, 3288, 4756, 563, 1428, 269, 28769, 4302, 1714, 5470, 1609, 526, 541, 632, 3288, 2923, 771, 2381, 340, 6614, 454, 303, 528, 4302, 1714, 5470, 1609, 526, 541, 632, 3288, 2923, 771, 2381, 340, 6614, 24140, 18372, 1714, 512, 4821, 334, 632, 3288, 2923, 513, 2163, 320, 888, 14976, 5470, 1609, 526, 541, 1965, 19448, 3053, 514, 632, 12165, 514, 632, 15255, 1199, 5362, 632, 18665, 652, 6652, 620, 1042, 539, 528, 632, 3288, 2923, 632, 533, 29793, 659, 514, 269, 13961, 3288, 12165, 514, 771, 2381, 340, 6614, 630, 572, 688, 576, 11792, 890, 4302, 320, 264, 1303, 517, 806, 17485, 1130, 2803, 9723, 15606, 11188, 3288, 18665, 652, 571, 27764, 754, 523, 513, 989, 745, 27785, 11792, 524, 2075, 534, 3512, 324, 513, 579, 630, 14741, 340, 1040, 28769, 1714, 733, 337, 9222, 23313, 3288, 12165, 514, 694, 27261, 320, 630, 572, 688, 576, 11792, 6264, 324, 264, 17485, 1130, 2803, 9723, 15606, 11188, 3288, 2923, 632, 3288, 18665, 652, 571, 27764, 754, 523, 513, 989, 745, 27785, 2367, 657, 524, 2075, 534, 3512, 324, 620, 1042, 539, 528, 632, 579, 630, 14741, 340, 1916, 1626, 269, 28769, 4302, 1714, 5470, 1609, 526, 541, 632, 3288, 2923, 771, 2381, 340, 6614, 454, 550, 517, 806, 281, 620, 771, 2381, 340, 597, 1714, 5470, 1609, 526, 541, 267, 1714, 27089, 632, 524, 783, 638, 1512, 2923, 632, 18665, 652, 571, 21483, 618, 324, 694, 1035, 2075, 4673, 620, 27089, 632, 3288, 2923, 632, 3288, 533, 29793, 659, 514, 267, 17485, 1965, 2133, 626, 553, 2277, 523, 1609, 324, 535, 523, 5443, 334, 632, 522, 10177, 812, 5028, 281, 620, 771, 2381, 340, 597, 1714, 5470, 1609, 526, 541, 694, 27261, 320, 3288, 3348, 529, 514, 598, 3288, 6446, 694, 533, 4240, 324, 721, 541, 3288, 2923, 632, 3288, 18665, 652, 571, 16948, 3934, 541 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1528, 741, 3401, 269, 901, 3335, 2882, 519, 1318, 547, 8917, 585, 13222, 693, 1312, 519, 3844, 543, 25499, 2157, 540, 2229, 267, 543, 519, 1318, 547, 7119, 538, 1857, 9840, 543, 5717, 827, 1271, 2152, 563, 14300, 540, 11180, 10480, 518, 725, 1331, 519, 2136, 2276, 267, 4516, 267, 543, 5245, 269, 769, 891, 2477, 267, 519, 3844, 2229, 543, 519, 25499, 4559, 960, 1927, 547, 3895, 519, 10304, 540, 519, 1004, 267, 1247, 8497, 519, 1367, 9163, 543, 2924, 540, 1142, 1533, 610, 11662, 563, 288, 14081, 568, 513, 1106, 540, 2229, 538, 799, 1379, 568, 4371, 676, 11221, 8387, 267, 2864, 982, 676, 513, 16313, 610, 3909, 3401, 269, 769, 513, 14081, 267, 519, 1004, 1528, 13222, 547, 1118, 3664, 593, 741, 15773, 267, 543, 519, 2229, 13333, 2687, 547, 513, 1305, 540, 4031, 543, 5238, 602, 616, 5921, 547, 2327, 519, 4027, 540, 1367, 2924, 543, 519, 1455, 1434, 563, 763, 1808, 1106, 540, 513, 14081, 666, 4268, 4922, 267, 4470, 593, 519, 2797, 543, 1514, 2796, 540, 519, 2486, 269, 2368, 1065, 28362, 923, 616, 16232, 1949, 267, 538, 799, 519, 2212, 540, 1533, 568, 11221, 2047, 676, 519, 1004, 267, 1247, 1866, 616, 25931, 1949, 267, 538, 799, 519, 2212, 540, 2229, 568, 12912, 676, 519, 23328, 563, 1103, 513, 14081, 267, 519, 2229, 568, 3335, 5258, 883, 5094, 8371, 267, 609, 1142, 7936, 2348, 1808, 7060, 543, 9021, 269, 1280, 1383, 267, 538, 1082, 1065, 28362, 923, 267, 519, 15424, 7936, 568, 3743, 585, 1818, 4031, 267, 519, 10324, 7936, 568, 3743, 585, 30191, 4031, 543, 13327, 4370, 519, 7245, 540, 519, 2229, 267, 543, 519, 16324, 7936, 568, 3743, 585, 16208, 4031, 543, 20547, 3656, 13882, 563, 763, 4295, 3741, 540, 513, 14081, 1331, 519, 4027, 540, 1367, 2924, 543, 22624, 267, 519, 4341, 540, 1876, 267, 543, 519, 2856, 602, 519, 2229, 1590, 581, 18177, 547, 519, 1004, 269, 769, 513, 14081, 267, 4961, 723, 519, 1318, 547, 7119, 538, 519, 11180, 1184, 543, 547, 1528, 741, 3401, 267, 543, 789, 849, 723, 519, 1318, 547, 3180, 1346, 3401, 18177, 585, 741, 3527, 563, 14300, 540, 1065, 28362, 923, 1331, 5333, 267, 3127, 267, 543, 8478, 269, 1452, 2477, 723, 7550, 1585, 3029, 540, 14081, 2229, 267, 1142, 609, 922, 1378, 2189, 1686, 267, 2797, 5238, 267, 543, 2686, 5389, 563, 26452, 5927, 2231, 1472, 519, 1158, 454, 9961, 1686, 267, 1082, 23693, 723, 24111, 543, 15468, 267, 1142, 609, 922, 1378, 2189, 2528, 267, 1686, 267, 543, 9371, 269, 3371, 616, 930, 540, 519, 1034, 1134, 8153, 23693, 538, 519, 1158, 912, 268, 4936, 7276, 1107, 634, 4936, 7276, 729, 513, 3532, 1533, 602, 16768, 689, 476, 2767, 7460, 547, 476, 5325, 277, 5084, 267, 609, 922, 3854, 538, 7507, 267, 7977, 269, 898, 4988, 1454, 540, 2342, 267, 5375, 5607, 267, 543, 3345, 4000, 267, 543, 729, 835, 540, 519, 4102, 543, 1034, 3532, 23693, 538, 519, 1158, 563, 268, 3703, 7276, 1107, 634, 3703, 7276, 729, 835, 540, 519, 4102, 543, 1034, 3532, 23693, 538, 1686, 267, 8720, 936, 513, 10116, 540, 519, 1158, 779, 2244, 1858, 693, 922, 4463, 269, 898, 729, 3964, 538, 519, 476, 1626, 628, 543, 476, 1704, 628, 5553, 267, 543, 922, 3310, 729, 5433, 2066, 519, 1158, 267, 689, 3127, 543, 4000, 547, 519, 17113, 543, 5245, 563, 268, 27245, 7276, 1107, 634, 27245, 7276, 729, 519, 4102, 733, 27631, 2244, 10504, 538, 1686, 267, 17364, 689, 2342, 547, 5607, 269, 898, 729, 3964, 676, 2637, 724, 529, 16679, 538, 519, 2038, 476, 1724, 628, 2540, 267, 543, 922, 3914, 6905, 689, 519, 8355, 4209, 5211, 538, 2342, 547, 519, 11114, 18686, 563, 268, 16368, 7276, 1107, 634, 16368, 7276, 729, 513, 15349, 1533, 602, 16768, 689, 476, 15782, 280, 547, 476, 4572, 273, 269, 2311, 922, 4463, 267, 621, 4988, 1454, 540, 14913, 2342, 267, 5375, 5607, 267, 543, 3345, 4000, 267, 543, 729, 835, 540, 519, 1034, 3532, 543, 9565, 23693, 538, 519, 1158, 563, 268, 6739, 7276, 1107, 634, 6739, 7276, 729, 513, 1533, 602, 16768, 689, 476, 15094, 272, 547, 476, 4489, 278, 267, 609, 922, 3854, 538, 18293, 269, 898, 729, 835, 540, 519, 4102, 543, 1034, 3532, 23693, 538, 519, 1158, 267, 8720, 1454, 540, 2342, 543, 5607, 267, 543, 4730, 513, 2101, 1909, 538, 519, 1646, 540, 2413, 6576, 563, 268, 14655, 7276, 1107, 634, 14655, 7276, 729, 835, 540, 519, 9510, 543, 4102, 23693, 538, 1686, 267, 9434, 689, 476, 20862, 7460, 547, 476, 20065, 7460, 269, 4706, 3914, 6905, 689, 519, 1473, 639, 5211, 538, 1459, 6377, 9031, 547, 519, 32363, 613, 534, 7256, 267, 543, 621, 5129, 513, 2101, 1909, 538, 5935, 519, 3504, 1158, 563, 268, 4457, 7276, 1107, 634, 4457, 7276, 729, 835, 540, 519, 9510, 543, 4102, 23693, 538, 1686, 267, 9434, 689, 476, 21854, 7460, 547, 476, 4489, 273, 5084, 269, 4706, 3914, 6905, 689, 2413, 6377, 31322, 543, 2494, 577, 22202, 547, 17230, 543, 10476, 267, 543, 621, 5129, 513, 2101, 1909, 538, 5935, 5101, 7489, 2528, 543, 1686, 563, 4322, 616, 1175, 513, 1906, 1806, 540, 519, 1082, 23693, 602, 723, 11478, 2429, 519, 1158, 267, 1142, 609, 922, 1378, 2189, 1686, 267, 2528, 267, 543, 9371, 563, 2690, 811, 3078, 3377, 543, 5013, 267, 2638, 856, 938, 5816, 1715, 12700, 2622, 543, 1246, 721, 593, 17749, 269, 0, 312, 16518, 267, 13723, 476, 1626, 5988, 267, 6825, 519, 7127, 883, 3196, 540, 519, 19109, 9369, 15521, 267, 2966, 547, 1852, 543, 2569, 519, 2518, 12998, 540, 8511, 575, 13293, 563, 8170, 1576, 267, 519, 1034, 29810, 851, 540, 519, 2898, 3364, 568, 602, 519, 2475, 267, 16073, 540, 827, 513, 10116, 540, 519, 1158, 779, 8511, 575, 13293, 267, 568, 711, 513, 1129, 2218, 269, 11048, 267, 621, 779, 1390, 547, 1294, 519, 9167, 267, 1034, 16113, 267, 8149, 547, 9013, 5434, 563, 2467, 779, 6266, 602, 1223, 581, 1767, 267, 543, 5310, 594, 786, 952, 1004, 616, 5461, 269, 1809, 585, 1631, 267, 594, 3580, 6085, 593, 519, 1614, 1034, 4122, 1031, 30852, 540, 519, 14097, 281, 3384, 2197, 17756, 282, 2360, 593, 2804, 2208, 282, 543, 7145, 538, 4227, 5434, 563, 20058, 267, 519, 608, 18277, 11292, 547, 3384, 2477, 269, 634, 14097, 3340, 513, 16795, 1852, 267, 543, 22638, 5786, 267, 540, 8511, 575, 13293, 676, 1129, 2218, 2477, 267, 6027, 3448, 547, 741, 476, 1960, 271, 12998, 2157, 269, 30052, 267, 952, 24451, 14461, 569, 267, 713, 1131, 18385, 1303, 3402, 2804, 15523, 267, 607, 519, 3384, 1158, 1131, 2760, 581, 2111, 547, 12520, 607, 1454, 829, 1268, 607, 519, 2919, 1158, 269, 1306, 513, 1267, 267, 3384, 2477, 616, 711, 4371, 547, 9072, 693, 519, 4090, 563, 8489, 713, 2731, 6927, 568, 519, 2013, 540, 3624, 267, 543, 547, 513, 4110, 3127, 269, 3624, 568, 1631, 519, 1158, 779, 2034, 4102, 900, 7867, 540, 3327, 8166, 267, 7064, 547, 922, 5755, 25673, 2872, 269, 634, 2475, 814, 15189, 547, 1129, 513, 14097, 602, 1281, 711, 20818, 9993, 593, 3624, 269, 1717, 267, 538, 1250, 6644, 267, 519, 1152, 5963, 5837, 3044, 585, 5434, 568, 3160, 5434, 829, 1268, 2443, 799, 1131, 2285, 3624, 519, 1318, 547, 827, 2947, 2053, 519, 2475, 779, 5434, 563, 4913, 5837, 602, 568, 267, 2705, 267, 621, 568, 5693, 5667, 20980, 269, 6820, 11626, 3327, 8166, 2157, 616, 827, 476, 2568, 260, 1657, 1018, 789, 941, 1354, 519, 1376, 540, 519, 4853, 4838, 269, 1703, 616, 4128, 547, 3494, 267, 1498, 267, 602, 1256, 1498, 19109, 9369, 1281, 711, 20818, 9993, 593, 3624, 267, 5434, 2208, 786, 3500, 269, 1677, 1376, 609, 267, 3624, 1175, 9783, 513, 3948, 6031, 789, 616, 4358, 547, 20818, 512, 7660, 9993, 269, 4329, 267, 519, 1702, 602, 19109, 9369, 786, 4019, 547, 873, 5266, 4166, 786, 4043, 547, 1118, 1646, 4755, 538, 513, 840, 268, 3319, 1947, 15777, 1259, 269, 14936, 267, 3327, 9467, 2443, 5941, 1985, 2443, 786, 16578, 519, 2919, 1158, 547, 4217, 538, 3246, 15777, 2029, 563, 763, 2034, 4661, 568, 602, 19109, 9369, 814, 1932, 2942, 606, 1198, 593, 2804, 2208, 547, 17854, 922, 2640, 269, 15316, 2090, 723, 1625, 19959, 547, 1397, 513, 5458, 2804, 1942, 267, 5310, 513, 8101, 6824, 540, 513, 2600, 540, 2518, 12654, 2208, 936, 519, 1985, 2540, 269, 634, 6654, 2626, 568, 602, 2348, 513, 561, 22133, 3047, 568, 4502, 2484, 811, 982, 713, 269, 1809, 28288, 593, 1312, 5011, 3100, 547, 2972, 844, 7627, 5458, 5515, 936, 1082, 5756, 269, 1306, 594, 1294, 621, 267, 519, 2257, 540, 2518, 8337, 568, 711, 6405, 267, 855, 568, 31029, 269, 12344, 513, 8717, 786, 6961, 621, 782, 513, 7301, 15372, 267, 693, 799, 1448, 19109, 9369, 666, 581, 24905, 1194, 609, 2370, 2942, 1198, 269, 2201, 519, 824, 1688, 267, 952, 649, 798, 2244, 909, 538, 3905, 1216, 267, 607, 621, 941, 267, 513, 8717, 2212, 11034, 1522, 1118, 6061, 519, 22638, 1966, 2484, 14949, 563, 28495, 337, 958, 267, 2705, 267, 621, 4667, 519, 19109, 9369, 7271, 568, 827, 519, 1655, 835, 666, 1205, 585, 4227, 5434, 10464, 569, 269, 13298, 982, 17997, 7833, 20214, 2066, 519, 4604, 267, 19109, 9369, 2488, 585, 9467, 968, 21666, 17099, 6100, 901, 2636, 6080, 1141, 621, 568, 10238, 1438, 569, 7199, 547, 4444, 3327, 9889, 553, 689, 824, 3549, 610, 2477, 267, 610, 547, 2030, 7733, 547, 15558, 741, 5434, 269, 901, 1797, 602, 3549, 543, 2477, 723, 519, 24539, 547, 581, 607, 2973, 607, 2009, 267, 607, 789, 666, 6133, 30694, 844, 7974, 282, 543, 849, 1797, 602, 12998, 20214, 616, 1500, 538, 519, 2127, 540, 519, 4346, 538, 799, 621, 568, 10464, 652, 547, 1847, 547, 15777, 2029, 563, 763, 2063, 1814, 4593, 1143, 540, 19109, 9369, 568, 7363, 1500, 676, 1004, 593, 519, 824, 2427, 540, 519, 20545, 281, 3039, 14540, 3494, 602, 19109, 9369, 568, 3257, 2484, 1932, 2370, 269, 10251, 267, 519, 1279, 1184, 602, 729, 13986, 547, 3142, 519, 2475, 593, 4580, 814, 2451, 519, 14097, 2484, 267, 2484, 21260, 982, 621, 729, 8385, 269, 1924, 621, 2731, 3085, 1406, 1611, 1454, 585, 513, 1297, 540, 1296, 547, 2097, 269, 1717, 267, 594, 1810, 1406, 1589, 835, 1058, 30391, 519, 1871, 540, 2348, 513, 5943, 6368, 538, 1747, 267, 543, 519, 6521, 540, 1857, 6644, 602, 814, 8507, 269, 634, 2475, 779, 2990, 568, 3168, 5051, 9678, 267, 799, 568, 3078, 547, 1294, 282, 543, 1058, 2518, 8337, 1376, 23960, 5469, 2406, 267, 621, 568, 2484, 4443, 543, 18334, 547, 2539, 519, 3327, 9889, 553, 538, 1747, 267, 982, 547, 21907, 1945, 899, 19109, 9369, 689, 15072, 563, 16675, 5264, 575, 13293, 616, 513, 1966, 602, 786, 2760, 581, 12193, 607, 3362, 607, 519, 8851, 540, 18435, 12336, 15286, 519, 9552, 540, 519, 17645, 4494, 269, 634, 19109, 9369, 14097, 267, 2705, 267, 4617, 607, 621, 568, 267, 4667, 547, 803, 547, 2709, 513, 1434, 3575, 540, 5100, 9297, 267, 5837, 3398, 1464, 267, 543, 4126, 585, 519, 2104, 563, 274, 4555, 593, 968, 298, 344, 9369, 15521, 3217, 3196, 7536, 7312, 1448, 827, 3624, 568, 6157, 4277, 269, 2290, 540, 1250, 1434, 2828, 689, 15101, 568, 1631, 2324, 538, 19864, 585, 519, 3923, 543, 646, 568, 1175, 6031, 602, 519, 2898, 2749, 24462, 899, 1286, 9688, 630, 663, 13189, 1040, 594, 798, 4126, 602, 3624, 568, 2965, 7598, 1346, 3800, 269, 898, 568, 2186, 320, 20868, 602, 1004, 1131, 1616, 547, 723, 513, 8799, 4346, 1318, 1631, 3079, 540, 2348, 513, 2973, 3047, 585, 741, 1453, 7498, 8133, 267, 23248, 3624, 568, 256, 594, 1205, 519, 4743, 602, 519, 5533, 568, 2484, 811, 538, 519, 4872, 267, 607, 10353, 547, 4025, 899, 519, 2475, 267, 1141, 1159, 690, 8060, 616, 7168, 2178, 267, 543, 621, 779, 15327, 543, 1379, 2371, 2476, 689, 4872, 602, 616, 811, 1713, 563, 2026, 2484, 607, 519, 4346, 267, 594, 723, 1256, 1224, 606, 4661, 1934, 602, 649, 1058, 6633, 811, 8093, 10173, 1631, 267, 547, 7794, 519, 4346, 811, 3533, 267, 865, 602, 649, 723, 811, 12588, 547, 4194, 519, 1966, 2663, 267, 950, 1095, 2541, 2406, 649, 3580, 723, 930, 1007, 2029, 269, 1530, 2114, 899, 513, 19408, 4640, 547, 803, 2336, 11854, 1136, 540, 1286, 9688, 543, 13189, 267, 594, 4076, 2141, 9289, 875, 1454, 3327, 8166, 568, 3812, 12422, 676, 519, 7296, 540, 13189 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 334, 267, 533, 3121, 267, 5186, 520, 807, 547, 4055, 269, 5131, 1557, 281, 547, 4055, 476, 866, 2073, 3803, 8908, 538, 519, 2110, 1650, 968, 1729, 4055, 562, 31106, 892, 676, 546, 528, 529, 1447, 532, 267, 3997, 534, 6151, 13530, 568, 513, 4807, 2713, 1018, 4667, 899, 519, 3501, 269, 1323, 6514, 540, 519, 6138, 540, 16650, 1143, 538, 546, 528, 529, 1447, 532, 781, 2110, 1650, 547, 4055, 562, 31106, 269, 1677, 4055, 562, 31106, 281, 4655, 1063, 2601, 543, 7553, 546, 528, 529, 1447, 532, 781, 1650, 547, 4055, 562, 31106, 568, 267, 538, 1082, 2081, 267, 513, 1650, 827, 519, 2479, 1790, 6974, 4655, 1063, 2601, 543, 7553, 563, 11900, 534, 640, 2021, 723, 21350, 5367, 741, 4145, 827, 519, 2042, 540, 1373, 513, 4807, 538, 513, 812, 779, 2486, 585, 1296, 15594, 3332, 11478, 1354, 22158, 607, 513, 3350, 1705, 269, 1677, 4055, 562, 31106, 814, 476, 4792, 275, 16863, 543, 476, 3393, 8039, 1990, 13860, 1767, 281, 891, 616, 1250, 4555, 593, 519, 2140, 1650, 1152, 338, 639, 534, 6151, 13530, 568, 9310, 547, 513, 812, 1352, 814, 561, 269, 1677, 4055, 562, 31106, 729, 1101, 3370, 538, 513, 812, 543, 1079, 2021, 267, 513, 4015, 540, 1447, 532, 779, 2110, 2984, 602, 5280, 1200, 3035, 1200, 10639, 607, 513, 8037, 2110, 1650, 563, 2414, 4055, 562, 31106, 3956, 3749, 2079, 1557, 1383, 585, 1863, 328, 1544, 547, 8044, 968, 1729, 4055, 562, 31106, 892, 676, 546, 528, 529, 1447, 532, 585, 606, 5304, 540, 20485, 5461, 538, 519, 269, 1323, 1557, 610, 1957, 593, 547, 4055, 562, 31106, 16650, 1143, 568, 513, 6138, 602, 5784, 1480, 6228, 607, 606, 1995, 6825, 676, 4160, 267, 23487, 267, 5191, 267, 4656, 540, 2669, 543, 519, 9637, 269, 25873, 3330, 547, 4055, 562, 31106, 267, 676, 546, 528, 529, 1447, 532, 267, 513, 1957, 3724, 689, 3771, 704, 335, 15959, 658, 267, 606, 29501, 540, 3771, 704, 322, 3326, 1231, 21101, 269, 12143, 1948, 273, 7005, 968, 1729, 4055, 562, 31106, 892, 676, 546, 528, 529, 1447, 532, 568, 519, 1650, 540, 513, 4807, 945, 9979, 998, 4965, 12082, 538, 1200, 7365, 267, 799, 5012, 547, 1200, 9350, 569, 22867, 11980, 607, 1352, 563, 5472, 7126, 590, 8491, 269, 0, 32487, 4853, 4838, 476, 8146, 273, 266, 342, 1580, 454, 763, 4853, 4838, 568, 1634, 607, 513, 1974, 538, 799, 4909, 2242, 7018, 538, 6683, 267, 20955, 543, 4496, 5478, 269, 3733, 1557, 519, 4853, 4838, 281, 26460, 610, 31169, 547, 519, 2324, 812, 281, 519, 4853, 4838, 729, 513, 1974, 540, 5912, 538, 24067, 1686, 267, 1141, 5499, 2242, 7282, 22713, 7018, 269, 634, 2360, 593, 2021, 1282, 519, 4853, 4838, 1686, 1557, 610, 7840, 6829, 538, 713, 1570, 616, 1346, 540, 519, 4589, 543, 798, 711, 8209, 2992, 519, 5784, 540, 20410, 3594, 2705, 609, 519, 12625, 540, 519, 4853, 4838, 2021, 2968, 606, 3742, 851, 540, 519, 269, 5131, 1557, 593, 2360, 540, 519, 4853, 4838, 2139, 11207, 1863, 693, 3235, 17742, 1260, 267, 519, 4102, 1863, 1557, 2021, 543, 1453, 941, 4397, 547, 960, 909, 547, 476, 1626, 3108, 513, 1554, 543, 3257, 4074, 602, 1223, 2014, 3978, 5945, 24015, 2854, 3594, 593, 713, 1888, 269, 476, 272, 4853, 4838, 1557, 4853, 4838, 910, 476, 276, 3199, 1913, 519, 4853, 4838, 267, 799, 729, 606, 2333, 538, 2504, 4547, 827, 676, 519, 946, 540, 6191, 267, 1185, 513, 6225, 1764, 1152, 593, 513, 1507, 12102, 540, 519, 1004, 540, 1390, 31564, 267, 585, 519, 5354, 621, 729, 4652, 822, 24461, 269, 2279, 27996, 753, 1557, 593, 6760, 538, 5045, 21562, 4945, 547, 1931, 1557, 575, 332, 272, 14228, 2993, 657, 728, 10282, 1317, 519, 3498, 1557, 666, 723, 513, 2565, 1198, 2390, 707, 3356, 3054, 1018, 3594, 4853, 4838, 476, 8146, 273, 266, 342, 1580, 1557, 593, 22594, 1554, 538, 31448, 563, 26581, 7434, 4838, 3594, 27168, 1299, 2942, 3344, 540, 519, 4853, 4838, 538, 519, 1439, 540, 519, 476, 1240, 628, 2540, 513, 1007, 4838, 538, 1686, 1131, 581, 4646, 621, 4547, 2318, 543, 2942, 2360, 547, 519, 1158, 543, 519, 1004, 2713, 538, 621, 18563, 267, 2093, 267, 543, 1007, 2081, 540, 6283, 941, 269, 634, 4853, 4838, 729, 513, 942, 540, 1390, 2085, 2429, 519, 1158, 621, 6719, 2101, 1689, 689, 476, 12293, 271, 547, 519, 1974, 476, 9264, 271, 268, 7277, 271, 519, 3350, 12090, 538, 1390, 31564, 543, 4299, 3388, 689, 4853, 5663, 3157, 547, 519, 3232, 1272, 540, 519, 3328, 12504, 269, 13017, 4534, 1557, 4775, 9087, 2045, 728, 28957, 1557, 518, 644, 924, 1260, 1957, 1603, 3028, 3594, 4853, 4838, 476, 8146, 273, 266, 342, 1580, 2628, 547, 2328, 11810, 12031, 8367, 513, 1007, 2186, 540, 29681, 1557, 27362, 1193, 785, 6199, 3594, 269, 8281, 5098, 3948, 593, 4853, 4838, 538, 938, 6538, 610, 1931, 606, 3312, 5098, 1957, 602, 786, 581, 2854, 676, 835, 540, 938, 5234, 5830, 543, 9447, 2687, 547, 519, 21120, 269, 5131, 1557, 593, 519, 4853, 4838, 538, 31564, 2139, 11207, 1863, 693, 3235, 17742, 1260, 267, 519, 4102, 1863, 1557, 2146, 563, 25215, 2945, 1957, 568, 827, 519, 4853, 4838, 689, 519, 1433, 267, 519, 2250, 14753, 267, 2959, 543, 2042, 538, 21099, 1686, 267, 676, 9267, 614, 561, 818, 333, 7322, 269, 634, 1764, 540, 519, 4853, 4838, 593, 2413, 2486, 1557, 1603, 3028, 267, 2688, 519, 1764, 540, 519, 4853, 4838, 593, 2413, 2486, 4574, 267, 2165, 4574, 267, 1863, 519, 1764, 540, 519, 4853, 4838, 593, 2413, 2486, 5439, 267, 1382, 4574, 267, 948, 563, 763, 15122, 1557, 2433, 4853, 4838, 1196, 24792, 3276, 651, 2899, 1767, 2073, 1118, 4838, 513, 2385, 540, 11175, 267, 543, 711, 513, 21543, 540, 2104, 26201, 269, 634, 2990, 540, 2021, 1354, 519, 4853, 4838, 729, 1419, 6697, 547, 669, 3430, 601, 267, 543, 1287, 607, 1631, 267, 789, 941, 4397, 811, 827, 519, 1909, 540, 2021, 1282, 519, 4853, 4838, 1557, 1341, 2442, 3594, 563, 32487, 4853, 4838, 476, 8146, 273, 266, 342, 1580, 454, 2791, 1590, 723, 606, 3594, 4853, 4838, 476, 8146, 273, 2021, 4367, 543, 596, 1590, 723, 513, 3932, 1934, 596, 666, 1265, 476, 1408, 1206, 2203, 1557, 4267, 476, 1408, 1206, 2565, 10763, 1557, 5439, 1557, 5439, 540, 6512, 476, 279, 563, 13563, 1686, 3594, 281, 7819, 4853, 4838, 24563, 336, 3406, 1082, 3885, 13986, 547, 7110, 741, 803, 4526, 1507, 3484, 26038, 676, 11488, 2021, 543, 1453, 547, 1832, 5045, 1286, 565, 2088, 689, 8011, 532, 795, 11055, 1185, 9896, 883, 1876, 519, 13545, 858, 540, 476, 8146, 273, 267, 4227, 11645, 269, 10749, 910, 4102, 6538, 540, 2298, 3732, 3594, 543, 1382, 4574, 593, 4853, 4838, 24563, 336, 269, 4828, 1535, 1770, 1449, 4473, 540, 4853, 11615, 543, 741, 3095, 547, 22030, 543, 18541, 1535, 1770, 1449, 1535, 1770, 1449, 1764, 540, 24067, 713, 4853, 4838, 1449, 814, 2178, 4020, 14496, 1317, 782, 519, 3688, 616, 13988, 609, 519, 5497, 1565, 4093, 269, 634, 4853, 4838, 729, 835, 540, 519, 1034, 1713, 5712, 538, 519, 1480, 1686, 621, 729, 519, 7432, 1448, 267, 519, 4090, 950, 1004, 3323, 1007, 1272, 945, 6487, 1018, 938, 1272, 1131, 581, 899, 952, 972, 941, 1100, 4838, 596, 917, 267, 707, 4305, 568, 1312, 3078, 543, 7294, 1603, 519, 4853, 4838, 3594, 2636, 1496, 269, 11633, 4838, 1557, 3732, 519, 1764, 540, 519, 4853, 4838, 3769, 13346, 540, 960, 4609, 689, 519, 6917, 11396, 547, 4683, 15327, 267, 519, 2333, 538, 2551, 2208, 2557, 1813, 547, 8244, 540, 1732, 2298, 543, 7274, 1426, 538, 519, 4683, 2127, 269, 11633, 4838, 814, 1044, 4857, 607, 519, 10747, 3196, 3297, 519, 16854, 2804, 2208, 14754, 538, 519, 7819, 4182, 1282, 519, 476, 866, 628, 543, 14206, 2540, 630, 327, 644, 5459, 476, 6321, 264, 7064, 547, 4853, 4838, 267, 519, 7819, 4182, 4824, 922, 2702, 547, 2932, 2527, 2504, 1312, 585, 922, 6469, 2115, 543, 21045, 585, 13143, 563, 26581, 7434, 4838, 3594, 281, 936, 476, 5197, 267, 1822, 4853, 4838, 3594, 267, 4853, 4838, 2165, 4574, 267, 4853, 4838, 1382, 1957, 267, 1433, 5359, 476, 7277, 476, 31275, 3594, 267, 2165, 543, 1382, 4574, 2139, 585, 19957, 1569, 269, 634, 7819, 4853, 4838, 3769, 1082, 1114, 18563, 607, 1134, 607, 1007, 2553, 585, 5663, 543, 1870, 1354, 543, 693, 519, 4098, 540, 519, 4838, 519, 7622, 1062, 729, 9846, 1031, 2705, 267, 607, 519, 4838, 27636, 4600, 543, 741, 12227, 6410, 689, 269, 634, 4853, 4838, 1557, 560, 515, 4853, 4838, 543, 922, 6286, 519, 4853, 4838, 4547, 1689, 2429, 519, 1158, 519, 1158, 711, 581, 5176, 519, 1482, 607, 621, 568, 2221, 952, 621, 1185, 711, 1044, 585, 519, 4853, 4838, 2486, 267, 2872, 267, 2029, 267, 543, 1034, 3388, 649, 1294, 1775, 269, 10749, 910, 4102, 6538, 540, 2298, 3732, 3594, 543, 1382, 4574, 593, 2021, 538, 519, 4853, 4838, 269, 476, 6812, 273, 3184, 476, 736, 519, 4853, 4838, 543, 922, 1764, 593, 24067, 2486, 561, 3184, 7291, 3040, 519, 4853, 4838, 538, 1390, 31564, 3040, 519, 3262, 540, 22713, 269, 634, 8677, 540, 2021, 781, 960, 2021, 543, 519, 1920, 6109, 2021, 781, 960, 267, 4853, 5314, 543, 4008, 713, 1522, 723, 1044, 1256, 2362, 1282, 519, 4853, 4838, 5756, 513, 1686, 540, 24067, 2021, 781, 960, 267, 476, 10204, 271, 547, 519, 1459, 676, 3181, 528, 1695, 1138, 517, 2023, 267, 630, 2908, 26294, 3535, 1578, 269, 1284, 786, 2328, 513, 2688, 1557, 3732, 593, 4853, 4838, 2021, 585, 596, 585, 1152, 1269, 16928, 271, 270, 2457, 1931, 1631, 1101, 5037, 2094, 519, 4098, 540, 942, 2021, 723, 1044, 5701, 21376, 1644, 3594, 281, 519, 1101, 4853, 4838, 1557, 4853, 4838, 1557, 3732, 269, 0, 763, 2518, 10821, 3354, 2344, 568, 4397, 547, 721, 267, 28492, 267, 579, 3747, 585, 4359, 10821, 3354, 2359, 1949, 616, 930, 540, 519, 269, 11819, 4199, 3391, 543, 544, 18863, 529, 1686, 543, 1995, 543, 10821, 3506, 538, 28492, 2139, 593, 519, 519, 10821, 1153, 1062, 666, 581, 269, 32722, 1299, 2079, 513, 1895, 540, 15000, 540, 28492, 781, 29200, 10821, 1153, 1062, 2443, 799, 18928, 519, 13030, 3377, 3232, 20394, 269, 2598, 4533, 532, 519, 2585, 885, 1851, 10821, 3506, 267, 519, 13683, 625, 1085, 17274, 267, 543, 1126, 10304, 281, 606, 2079, 540, 7810, 543, 683, 4377, 11102, 27964, 269, 634, 2587, 997, 534, 5939, 540, 28492, 543, 519, 21944, 10821, 3506, 476, 272, 3506, 281, 513, 2495, 7266, 1042, 2079, 540, 519, 1279, 519, 666, 6598, 10821, 1153, 1062, 269, 634, 5222, 540, 519, 666, 6598, 10821, 1153, 1062, 513, 5618, 3140, 2272, 540, 28492, 779, 10821, 1153, 1062, 513, 2565, 2079, 540, 563, 10521, 3119, 6859, 540, 519, 10821, 1153, 1062, 941, 547, 4894, 1353, 540, 21944, 10821, 3506, 538, 28492, 547, 4266, 543, 1034, 7074, 585, 269, 1323, 1557, 610, 1957, 593, 519, 10821, 1153, 1062, 538, 28492, 519, 10821, 1153, 1062, 538, 28492, 729, 513, 1062, 13991, 547, 3246, 513, 5676, 1441, 1759, 4998, 269, 11289, 596, 585, 9683, 959, 17433, 519, 535, 328, 678, 560, 3942, 540, 519, 3460, 540, 519, 5168, 543, 21047, 10243, 540, 28492, 568, 1631, 2347, 607, 540, 632, 4895, 476, 1240, 476, 1001, 276, 267, 519, 959, 322, 269, 1763, 7808, 3506, 267, 14425, 543, 28492, 781, 6760, 1996, 519, 1267, 729, 519, 21800, 11944, 540, 519, 15395, 1062, 543, 519, 10821, 17469, 2895, 28396, 563, 296, 928, 638, 1275, 6045, 281, 519, 6456, 10616, 538, 519, 12581, 2069, 1062, 28492, 6663, 547, 1683, 2199, 3506, 543, 2950, 2079, 543, 4183, 269, 16971, 1004, 267, 6043, 543, 519, 705, 13092, 1004, 267, 6043, 543, 519, 10821, 1153, 10821, 3506, 910, 519, 10821, 1153, 1062, 538, 28492, 269, 7797, 3081, 28492, 781, 10821, 3506, 8149, 1412, 322, 8590, 21393, 28492, 781, 10821, 1153, 1062, 3459, 538, 519, 4274, 2079, 543, 269, 23046, 519, 9371, 540, 519, 10821, 3506, 513, 4663, 532, 14266, 602, 7710, 519, 1686, 543, 9371, 540, 28492, 779, 10821, 1153, 1062, 998, 31848, 563, 293, 18017, 585, 1686, 281, 26500, 519, 5168, 540, 540, 519, 10821, 1153, 1062, 693, 1082, 10821, 3506, 1256, 3560, 28492, 949, 723, 269, 589, 3084, 6760, 814, 476, 3445, 16863, 543, 519, 10821, 1153, 1062, 892, 607, 4720, 543, 6388, 540, 10821, 3506, 538, 28492, 563, 4910, 7808, 3506, 3594, 543, 1382, 4574, 1732, 3735, 982, 2760, 519, 10821, 1153, 1062, 540, 28492, 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 ]
[ 3000, 623, 758, 2946, 3000, 25048, 25048, 26272, 5295, 681, 13377, 5295, 335, 4428, 21989, 25905, 5741, 5062, 273, 681, 1794, 528, 4414, 14136, 25599, 1299, 18200, 344, 10003, 2782, 1874, 11676, 625, 8779, 6979, 11660, 25817, 1744, 20810, 1299, 1744, 710, 1744, 20810, 543, 1744, 710, 19255, 9469, 7327, 532, 10724, 21708, 1633, 619, 3911, 13704, 454, 23220, 10899, 13344, 4268, 689, 519, 3339, 13344, 269, 634, 23700, 540, 519, 13344, 949, 581, 2901, 9441, 540, 513, 2754, 610, 519, 7218, 269, 8871, 10899, 13344, 616, 5631, 1031, 585, 10229, 5301, 269, 1358, 616, 1031, 547, 3895, 519, 6216, 2012, 543, 2333, 922, 4656, 1851, 519, 1004, 269, 769, 30572, 10317, 1154, 5773, 267, 519, 2298, 543, 6881, 540, 519, 13344, 3180, 811, 1871, 982, 519, 13344, 3294, 2094, 621, 786, 957, 607, 513, 24891, 547, 10536, 1007, 7218, 610, 27498, 563, 27026, 517, 568, 606, 2653, 1259, 547, 1205, 5458, 28774, 1247, 12423, 1187, 2238, 538, 707, 2749, 269, 3776, 3232, 2199, 9388, 2874, 540, 14060, 267, 838, 553, 267, 20730, 267, 2527, 1137, 267, 10918, 642, 537, 7129, 267, 1919, 547, 798, 267, 543, 513, 2898, 2603, 811, 267, 538, 7366, 540, 4872, 2066, 519, 1158, 269, 13028, 519, 1655, 10516, 2093, 609, 6828, 517, 281, 2638, 856, 1390, 9388, 585, 717, 22284, 585, 13924, 267, 717, 22284, 585, 4173, 267, 717, 22284, 585, 21676, 1255, 267, 17510, 1485, 717, 22284, 543, 32285, 717, 22284, 563, 4537, 25891, 693, 717, 22284, 2593, 585, 2228, 13344, 2306, 621, 2653, 547, 3251, 538, 6578, 269, 15439, 2824, 689, 938, 3902, 1606, 9285, 7121, 3817, 543, 5150, 519, 1655, 14512, 13344, 585, 606, 1256, 1732, 3902, 269, 634, 3501, 13344, 8597, 547, 1367, 4690, 267, 865, 649, 2709, 513, 3099, 540, 10531, 13344, 602, 596, 666, 21160, 547, 2769, 2295, 325, 3881, 27742, 693, 1022, 942, 540, 519, 1032, 269, 2913, 873, 917, 875, 2027, 789, 616, 547, 596, 676, 1202, 21564, 741, 2012, 593, 741, 5172, 15908, 6221, 282, 689, 17075, 11084, 9102, 609, 707, 16683, 4266, 547, 2688, 25001, 18995, 519, 8188, 540, 707, 1920, 267, 972, 616, 865, 1082, 8748, 10516, 2093, 602, 596, 949, 1265, 621, 2182, 547, 7017, 593, 1175, 835, 563, 5475, 519, 5822, 2622, 2782, 607, 2486, 2968, 2479, 811, 3413, 23308, 543, 1007, 2029, 543, 2326, 630, 680, 10415, 264, 585, 11442, 5478, 2968, 2139, 267, 9162, 2968, 10464, 543, 24819, 538, 10820, 2066, 519, 5375, 2622, 269, 7324, 519, 811, 1134, 1634, 2472, 540, 519, 476, 4198, 271, 338, 972, 729, 519, 20636, 2754, 6181, 334, 781, 1899, 540, 7990, 995, 954, 24286, 5068, 15839, 4070, 5036, 267, 11676, 1731, 781, 28116, 267, 6004, 269, 8000, 6737, 10361, 267, 519, 15016, 773, 6564, 543, 11059, 2494, 269, 4653, 972, 616, 2780, 1242, 31119, 602, 666, 5431, 543, 2697, 3615, 267, 519, 5639, 540, 741, 8227, 267, 543, 3442, 1851, 7366, 540, 840, 3491, 13559, 4364, 2453, 609, 799, 547, 4431, 269, 634, 2326, 602, 9162, 616, 1500, 689, 723, 4957, 267, 1018, 9162, 666, 798, 814, 4957, 267, 855, 519, 1249, 602, 1453, 1404, 609, 9162, 814, 711, 563, 10387, 334, 10202, 2037, 31008, 7769, 1621, 3626, 17451, 24090, 28529, 518, 4211, 770, 749, 12876, 625, 1299, 654, 23275, 674, 3599, 27211, 22960, 4911, 1564, 16258, 28818, 3171, 626, 344, 623, 1115, 674, 573, 1326, 715, 514, 10937, 15531, 667, 800, 17384, 6261, 29029, 15284, 11846, 31530, 7999, 674, 6064, 334, 674, 584, 9418, 14886, 717, 601, 8584, 6261, 324, 601, 26155, 332, 625, 717, 3424, 262, 292, 916, 24162, 2044, 717, 836, 670, 14900, 12390, 1794, 25431, 13201, 15842, 13201, 15842, 717, 5446, 670, 2255, 7769, 12182, 5453, 1564, 26758, 14740, 10632, 22569, 514, 10740, 9214, 323, 1043, 23397, 2906, 32021, 802, 7414, 30083, 26226, 2622, 3807, 6145, 5851, 918, 262, 301, 1410, 454, 274, 291, 18903, 2920, 643, 1707, 5794, 670, 9233, 5981, 1977, 21756, 10960, 1325, 2917, 10960, 14136, 1323, 7288, 3683, 20142, 633, 21220, 13135, 9741, 5682, 9093, 17926, 1325, 633, 17926, 7788, 629, 749, 17020, 2967, 15016, 773, 15506, 2006, 11135, 21538, 11135, 743, 1177, 645, 754, 344, 543, 519, 769, 330, 10724, 645, 3073, 26709, 339, 2052, 611, 1177, 728, 11846, 23663, 23663, 476, 274, 932, 545, 1723, 4975, 595, 2001, 7637, 9823, 22383, 2677, 335, 27809, 2725, 20550, 582, 745, 343, 2598, 7666, 1047, 18557, 18557, 25905, 14134, 667, 9579, 6840, 14134, 17582, 3220, 821, 29100, 332, 1460, 661, 11155, 15952, 5004, 661, 706, 4149, 7220, 454, 3891, 4843, 519, 15596, 609, 513, 14776, 8405, 331, 864, 269, 1261, 729, 4843, 609, 513, 30407, 693, 519, 16008, 269, 2701, 4843, 513, 2638, 585, 1269, 276, 267, 1822, 547, 519, 17493, 269, 634, 10196, 4843, 1010, 2164, 547, 519, 12233, 269, 2701, 786, 581, 9306, 513, 1957, 593, 2409, 585, 3450, 26613, 693, 519, 10554, 269, 1548, 942, 786, 596, 581, 9306, 286, 1323, 2709, 729, 4843, 585, 938, 7156, 269, 634, 6301, 9335, 26308, 7577, 568, 9306, 9956, 781, 30777, 1985, 3923, 269, 634, 9754, 568, 9306, 606, 14266, 540, 10367, 676, 3933, 564, 563, 5522, 11691, 609, 9162, 568, 2808, 547, 581, 1271, 950, 621, 2501, 547, 3395, 909, 543, 1565, 827, 519, 1158, 1472, 721, 269, 8479, 518, 1453, 946, 9162, 547, 3605, 741, 3961, 267, 948, 741, 4703, 1332, 2178, 267, 1451, 2014, 543, 1198, 267, 2263, 3347, 267, 543, 2259, 1983, 789, 786, 991, 607, 4079, 269, 20661, 593, 8317, 946, 9162, 547, 1106, 543, 7794, 1514, 7554, 267, 4001, 267, 948, 538, 3797, 267, 543, 547, 3314, 543, 12927, 4245, 689, 741, 6107, 563, 272, 9122, 593, 519, 1377, 540, 2121, 1007, 16306, 630, 335, 3420, 1162, 1447, 17099, 264, 602, 616, 11540, 547, 707, 13937, 1520, 2779, 720, 9457, 15258, 2272, 538, 1022, 10865, 536, 3739, 1974, 267, 596, 786, 581, 13886, 547, 513, 10958, 593, 1142, 1396, 516, 540, 17405, 610, 17088, 4492, 602, 568, 12349, 585, 513, 5179, 6174, 693, 8225, 570, 790, 13937, 645, 1513, 1282, 519, 1739, 10865, 536, 3739, 1974, 543, 602, 568, 9901, 547, 707, 13937, 1520, 2779, 720, 9457, 15258, 269, 634, 10958, 602, 596, 4309, 538, 513, 536, 3739, 1974, 786, 581, 4389, 547, 476, 273, 10634, 829, 1396, 516, 1310, 596, 723, 1500, 16306, 540, 811, 982, 1269, 4335, 585, 17405, 267, 17088, 4492, 610, 1022, 824, 31914, 787, 3688, 693, 8225, 570, 790, 13937, 645, 1513, 1282, 602, 536, 3739, 1974, 1210, 707, 13937, 1520, 2779, 720, 9457, 15258, 269, 1280, 2347, 1982, 3877, 5225, 1224, 519, 8225, 570, 790, 13937, 1520, 2779, 720, 9457, 15258, 16301, 543, 2175, 269, 0, 13981, 543, 9752, 454, 289, 5802, 4133, 9142, 20205, 519, 2817, 15099, 693, 6206, 853, 1137, 476, 274, 543, 476, 275, 269, 1280, 2022, 476, 1626, 267, 1082, 540, 938, 1053, 979, 593, 547, 1353, 589, 270, 3008, 20946, 693, 519, 7404, 853, 6601, 526, 534, 779, 14520, 628, 4813, 5441, 610, 519, 14520, 628, 4813, 693, 4270, 1873, 599, 3427, 610, 17368, 517, 7101, 18450, 5441, 563, 4263, 6206, 8609, 476, 274, 267, 1053, 4309, 513, 3376, 543, 7059, 6437, 267, 609, 2027, 8561, 5116, 593, 5355, 7924, 543, 6746, 2329, 607, 1134, 607, 3384, 23559, 1983, 269, 1323, 24665, 730, 24153, 10872, 7028, 782, 23794, 274, 1053, 563, 1103, 5729, 476, 1015, 267, 1053, 723, 519, 4316, 547, 3442, 519, 4999, 540, 5396, 789, 6999, 547, 11654, 538, 6206, 8609, 476, 275, 269, 2368, 4295, 5396, 267, 971, 607, 13174, 267, 2296, 543, 3163, 616, 25471, 269, 4841, 616, 9415, 547, 11654, 513, 2039, 540, 23722, 543, 25367, 6030, 547, 2327, 519, 2115, 540, 1142, 1367, 2875, 616, 1558, 563, 16729, 4879, 540, 3356, 693, 6206, 8609, 476, 274, 267, 585, 930, 1053, 267, 606, 4244, 6437, 568, 6035, 693, 6206, 8609, 476, 275, 267, 609, 11173, 8561, 593, 7924, 543, 6746, 2329, 5916, 609, 12353, 960, 1995, 3255, 269, 634, 4244, 6437, 568, 1152, 6035, 609, 519, 1489, 540, 519, 1367, 2875, 543, 741, 2385, 610, 1416, 337, 563, 1692, 798, 649, 1418, 1047, 1565, 888, 4263, 6206, 8609, 476, 274, 267, 585, 1034, 5396, 267, 1053, 616, 5116, 538, 2516, 3617, 547, 741, 2702, 538, 519, 1641, 269, 6270, 4259, 6087, 519, 4116, 547, 3035, 519, 1655, 1565, 1995, 585, 1142, 1895, 540, 1053, 269, 4329, 267, 519, 4116, 786, 1305, 1114, 4247, 543, 2238, 585, 1053, 1369, 1142, 1895, 547, 2743, 741, 1367, 1565, 2511, 269, 7316, 3617, 267, 930, 1641, 2127, 616, 6026, 547, 6404, 2702, 2516, 563, 4263, 6206, 8609, 476, 275, 267, 1053, 616, 5116, 538, 2516, 538, 4295, 5396, 3617, 547, 741, 2702, 538, 602, 4295, 1641, 269, 26840, 5396, 616, 6026, 538, 6404, 2702, 2516, 593, 519, 2898, 609, 21630, 4247, 799, 4161, 1169, 15226, 693, 8726, 741, 1377, 563, 16391, 5314, 540, 15099, 23527, 454, 268, 3163, 543, 8950, 3163, 454, 268, 11300, 8551, 454, 1103, 1840, 547, 519, 1657, 5396, 6026, 693, 16340, 4133, 9142, 267, 519, 3444, 12200, 5729, 570, 12460, 30581, 5838, 519, 13662, 4047, 292, 15099, 267, 1519, 22893, 1222, 267, 607, 851, 540, 1445, 338, 539, 4626, 564, 762, 544, 1941, 902, 563, 763, 1775, 9596, 10418, 2488, 1565, 6703, 547, 5234, 543, 1053, 267, 1519, 519, 7732, 543, 1646, 540, 552, 2861, 1565, 2200, 269, 11120, 1988, 1331, 24195, 267, 23559, 647, 2572, 543, 606, 1775, 300, 3722, 28495, 516, 563, 13981, 8081, 10418, 454, 763, 4804, 8081, 10418, 630, 11862, 290, 264, 2488, 3606, 1489, 547, 1053, 609, 2027, 3872, 2115, 543, 9124, 607, 1134, 607, 1445, 28410, 593, 3384, 6746, 2329, 543, 7924, 1983, 269, 589, 11285, 2319, 7028, 938, 1053, 538, 543, 856, 540, 4245, 269, 0, 13043, 6435, 281, 8081, 2659, 8866, 1879, 1411, 5620, 3143, 1849, 826, 7316, 547, 3399, 454, 3674, 707, 1126, 10010, 538, 1153, 286, 1411, 4440, 917, 602, 2348, 513, 1906, 2645, 547, 5351, 707, 1126, 609, 2979, 948, 568, 1732, 982, 1175, 835, 2582, 1935, 269, 2755, 17849, 513, 4357, 20131, 666, 581, 513, 5458, 948, 267, 1018, 4523, 519, 1964, 540, 519, 3018, 538, 1063, 11401, 609, 519, 20131, 568, 849, 1271, 269, 1924, 875, 666, 596, 607, 513, 2385, 948, 707, 1126, 1451, 2979, 950, 519, 20131, 3884, 1405, 9361, 7258, 596, 286, 3371, 616, 930, 2093, 912, 5970, 513, 15474, 5900, 3363, 454, 3080, 540, 519, 7887, 23665, 596, 991, 547, 7753, 538, 1931, 547, 581, 454, 17954, 1136, 14068, 7335, 1923, 7335, 24366, 6657, 454, 1805, 745, 31227, 609, 2542, 10467, 286, 901, 2542, 8223, 2259, 3635, 949, 3100, 513, 3787, 9490, 267, 855, 621, 1568, 256, 3367, 593, 607, 570, 1075, 5459, 267, 589, 313, 543, 2228, 20131, 700, 712, 9188, 595, 269, 6941, 519, 834, 12577, 3983, 2542, 257, 1505, 2483, 763, 1034, 4909, 4161, 1034, 1053, 3068, 568, 711, 538, 519, 1543, 267, 621, 781, 538, 3983, 2542, 6208, 269, 634, 11768, 540, 1034, 1257, 538, 519, 5375, 1158, 568, 5276, 267, 1739, 513, 11636, 1899, 540, 7744, 543, 9266, 2219, 689, 4098, 547, 1439, 1510, 4129, 542, 630, 6518, 1775, 454, 277, 12694, 1299, 476, 275, 22436, 20661, 5620, 4804, 19932, 454, 2005, 781, 2760, 1932, 3735, 547, 1451, 513, 2034, 1893, 256, 17610, 267, 3214, 949, 723, 1346, 834, 4944, 784, 344, 257, 12058, 1862, 855, 519, 4641, 568, 267, 972, 616, 1082, 5383, 547, 1565, 513, 1007, 1893, 607, 606, 2937, 269, 3371, 267, 5053, 20131, 29315, 645, 269, 6941, 2483, 2252, 596, 6594, 513, 1893, 538, 1647, 1153, 610, 1164, 1153, 267, 596, 1522, 11291, 519, 2395, 540, 8357, 1944, 13450, 543, 6863, 585, 707, 11400, 269, 9320, 596, 849, 11291, 1565, 609, 8897, 607, 596, 5432, 1242, 3054, 609, 4914, 4992, 267, 1913, 267, 543, 2833, 563, 2026, 606, 2937, 2676, 1692, 547, 5269, 4804, 17773, 8342, 585, 8866, 454, 2691, 596, 2811, 3843, 547, 4001, 1453, 827, 1565, 8454, 267, 1818, 621, 1187, 585, 873, 568, 1271, 269, 6787, 596, 2811, 513, 3743, 2385, 4543, 707, 1126, 609, 6780, 2042, 267, 610, 513, 2979, 20131, 3168, 547, 24996, 909, 930, 3992, 4566, 267, 6220, 930, 1187, 543, 5876, 950, 1565, 8454, 666, 948, 3142, 519, 1377, 540, 1620, 909, 3533, 563, 2691, 1187, 568, 1572, 585, 267, 596, 666, 1405, 8044, 609, 3872, 3756, 256, 634, 1079, 616, 5176, 24190, 256, 1403, 596, 666, 1899, 909, 513, 1906, 3756, 555, 454, 275, 11822, 17778, 547 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 12892, 17607, 22411, 338, 454, 272, 269, 6167, 6468, 269, 14780, 2358, 4656, 827, 3023, 1143, 454, 1607, 5859, 6212, 5616, 3406, 2599, 547, 7188, 880, 519, 5220, 968, 18131, 1058, 2507, 892, 610, 968, 18131, 991, 547, 2560, 892, 543, 875, 519, 1313, 24899, 10968, 2164, 6318, 4656, 540, 519, 2186, 540, 3023, 1143, 602, 568, 1869, 9800, 269, 630, 32046, 676, 29142, 559, 11803, 1299, 631, 1430, 29903, 12467, 273, 269, 14780, 2358, 4656, 827, 519, 4539, 540, 9140, 16678, 2831, 454, 20181, 324, 32160, 2813, 713, 11617, 26648, 5859, 585, 13431, 293, 563, 274, 269, 14780, 2358, 4656, 827, 938, 4006, 6981, 563, 1607, 568, 513, 1788, 676, 513, 5053, 23031, 593, 519, 2179, 540, 4006, 649, 8532, 563, 275, 269, 4563, 22032, 2339, 454, 763, 960, 540, 918, 4673, 21701, 568, 513, 4190, 26841, 540, 519, 18354, 543, 5208, 540, 513, 5198, 563, 300, 718, 775, 19258, 8862, 650, 3554, 338, 593, 1946, 519, 29659, 543, 811, 4190, 6082, 538, 519, 1158, 616, 8200, 593, 824, 6082, 563, 763, 3896, 547, 6443, 519, 11873, 547, 4339, 585, 15213, 267, 8644, 3130, 543, 10456, 563, 276, 269, 14780, 2358, 4656, 827, 4132, 23267, 454, 277, 269, 14780, 2358, 4656, 827, 23582, 20222, 454, 4517, 2507, 9870, 4656, 827, 6469, 6057, 1282, 13044, 912, 763, 8225, 6468, 5748, 9250, 713, 5859, 540, 1688, 6786, 538, 3381, 7125, 547, 1397, 596, 991, 948, 269, 0, 4897, 657, 807, 8768, 2495, 454, 4467, 618, 269, 9717, 741, 12050, 24698, 267, 621, 1131, 581, 2182, 547, 11716, 519, 13513, 540, 1142, 540, 519, 1455, 4778, 267, 543, 875, 789, 949, 5330, 547, 1018, 596, 616, 3843, 547, 2769, 269, 18882, 22966, 657, 807, 568, 513, 4759, 540, 519, 2549, 541, 13183, 1920, 543, 9428, 538, 9341, 4525, 538, 4000, 267, 5607, 267, 12868, 543, 3162, 3013, 269, 1358, 616, 849, 2219, 547, 581, 1360, 3730, 538, 7067, 824, 2960, 2175, 543, 8886, 725, 267, 607, 1134, 607, 3750, 2042, 267, 7988, 22202, 543, 1256, 16063, 22074, 269, 6423, 811, 2093, 827, 12518, 267, 22966, 657, 807, 8768, 267, 26540, 269, 634, 22966, 657, 807, 5810, 602, 594, 11751, 15538, 540, 476, 274, 3818, 23469, 5810, 829, 8708, 267, 799, 1942, 1269, 273, 269, 7176, 829, 8708, 269, 512, 753, 344, 269, 22966, 657, 807, 2501, 689, 519, 5259, 2262, 3852, 374, 24341, 16575, 14267, 19084, 267, 14733, 737, 601, 657, 267, 2495, 14616, 267, 13288, 547, 519, 8768, 2560, 9717, 602, 968, 4897, 657, 807, 892, 568, 6508, 689, 519, 5259, 2262, 968, 30448, 657, 2223, 610, 968, 14315, 539, 2223, 621, 568, 711, 9670, 547, 1265, 602, 891, 2371, 616, 3006, 1031, 538, 513, 533, 14115, 823, 547, 12115, 14616, 2960, 269, 22966, 657, 807, 630, 290, 4169, 18474, 264, 1107, 18748, 542, 267, 13737, 640, 267, 521, 650, 1465, 269, 901, 1880, 8768, 2501, 538, 476, 276, 623, 8008, 303, 5058, 4778, 2507, 907, 1042, 1107, 10538, 1107, 11909, 1107, 5835, 1107, 543, 13711, 269, 22966, 657, 807, 595, 2077, 1092, 779, 8966, 25649, 5920, 568, 1141, 519, 8768, 4991, 922, 1455, 2012, 540, 2048, 322, 4169, 18474, 13767, 657, 807, 8730, 1247, 22966, 657, 807, 1773, 636, 6242, 568, 1419, 1572, 2048, 7468, 1550, 540, 12986, 17207, 9957, 1677, 930, 267, 519, 6505, 25243, 32395, 666, 21843, 10100, 267, 6612, 543, 21755, 282, 10538, 568, 3006, 2404, 609, 5876, 543, 12050, 1145, 540, 6891, 282, 1247, 5835, 666, 1611, 17869, 6888, 267, 8788, 543, 4708, 269, 22966, 657, 807, 27003, 27003, 966, 1162, 27003, 623, 1824, 4144, 344, 27003, 27003, 28081, 906, 12338, 27003, 12567, 27003, 12426, 27003, 23426, 12096, 26540, 22966, 657, 807, 22966, 3118, 17186, 13689, 593, 707, 3395, 2175, 267, 22966, 3118, 8677, 666, 581, 3812, 538, 3039, 17346, 267, 1164, 25310, 610, 2047, 856, 538, 519, 2361, 269, 634, 2030, 568, 1336, 538, 5101, 4000, 779, 1164, 4133, 1141, 789, 616, 1572, 2048, 332, 325, 2426, 340, 685, 538, 4210, 1695, 8270, 269, 2073, 1358, 616, 17580, 15022, 22954, 596, 666, 1039, 547, 707, 4677, 267, 543, 723, 513, 6492, 711, 7429, 22156, 269, 4239, 476, 4029, 267, 476, 1001, 279, 910, 10812, 7353, 2674, 274, 781, 4604, 834, 290, 601, 657, 807, 257, 593, 26964, 269, 5810, 1358, 616, 5156, 547, 581, 1644, 547, 2549, 15546, 2195, 269, 22966, 657, 807, 568, 513, 9341, 10786, 17675, 2030, 6738, 607, 606, 5993, 538, 1034, 540, 3345, 3013, 269, 476, 2412, 269, 634, 12572, 2495, 1759, 593, 519, 7423, 24189, 8768, 779, 2681, 568, 849, 1713, 547, 1174, 865, 602, 596, 4465, 1406, 3765, 548, 611, 538, 4758, 610, 23187, 519, 5048, 269, 9502, 540, 13767, 657, 807, 269, 1306, 1134, 607, 1373, 10875, 538, 5920, 267, 519, 25836, 13767, 657, 807, 8768, 568, 849, 2808, 547, 581, 513, 1360, 3730, 2030, 269, 10439, 14040, 5621, 516, 1361, 324, 647, 674, 1640, 328, 267, 623, 5050, 324, 267, 674, 328, 648, 546, 7578, 6612, 324, 269, 1358, 782, 2097, 538, 11495, 267, 7524, 18707, 540, 2699, 267, 10538, 543, 5835, 267, 607, 1134, 607, 4154, 267, 9174, 543, 3006, 1256, 11909, 269, 634, 22966, 657, 807, 2030, 568, 606, 5993, 546, 545, 582, 344, 1194, 517, 269, 476, 274, 1040, 6465, 823, 568, 1776, 2442, 6445, 518, 8768, 678, 1057, 609, 2495, 269, 2433, 1022, 540, 513, 12593, 630, 290, 601, 657, 807, 264, 540, 9341, 5993, 11922, 630, 7945, 607, 524, 4169, 18474, 264, 540, 519, 993, 541, 13183, 1920, 602, 723, 14595, 3762, 543, 1397, 344, 8768, 26389, 1419, 8108, 13692, 344, 13421, 538, 2560, 11660, 8745, 281, 22966, 657, 807, 24094, 269, 2659, 4757, 2232, 786, 711, 581, 3370, 269, 11660, 2090, 540, 519, 13767, 657, 807, 2415, 550, 20660, 723, 849, 26857, 9621, 2164, 602, 1397, 602, 891, 2371, 949, 957, 607, 606, 4550, 26817, 12185, 269, 4778, 4924, 476, 2190, 267, 476, 1001, 279, 910, 10812, 25138, 27956, 1084, 22138, 781, 4604, 834, 290, 601, 657, 807, 2580, 4553, 676, 476, 13893, 1004, 593, 26964, 269, 18630, 281, 769, 10851, 476, 1015, 543, 476, 1556, 267, 713, 8768, 666, 581, 6738, 607, 513, 21064, 2030, 538, 8708, 10651, 16638, 824, 10851, 267, 519, 13767, 657, 807, 8768, 568, 2356, 6738, 607, 606, 5993, 8768, 269, 4826, 281, 5901, 519, 13767, 657, 807, 8768, 781, 29238, 3037, 5848, 267, 855, 711, 6632, 269, 1358, 616, 5993, 2371, 540, 9341, 5169, 543, 616, 10786, 17675, 2495, 789, 3668, 513, 29762, 6565, 267, 609, 513, 2786, 267, 30861, 543, 796, 1962, 534, 3481, 6565, 269, 594, 729, 2111, 547, 1205, 782, 4778, 267, 4849, 13711, 269, 634, 595, 4169, 18474, 8768, 18742, 689, 3735, 4832, 998, 3735, 2887, 269, 6258, 875, 707, 6085, 1239, 568, 9268, 269, 634, 3762, 540, 1896, 13767, 657, 807, 2249, 616, 4749, 10057, 607, 513, 3940, 11656, 21364, 10448, 269, 2073, 6145, 922, 23013, 267, 519, 993, 541, 13183, 8768, 267, 621, 568, 1767, 547, 723, 1082, 3096, 538, 519, 11477, 7706, 269, 22966, 657, 807, 13513, 281, 22966, 657, 807, 23327, 23629, 1275, 2073, 15754, 2073, 14246, 2073, 9644, 543, 11505, 1547, 5680, 5071, 634, 13598, 2012, 568, 6508, 689, 519, 9147, 5259, 2262, 3852, 374, 394, 362, 16575, 15770, 14267, 19084, 630, 330, 21681, 501, 548, 657, 1070, 2495, 834, 321, 9506, 2580, 543, 4016, 547, 519, 18723, 6438, 8768, 9843, 269, 634, 8768, 781, 2012, 568, 2303, 633, 540, 513, 887, 8803, 781, 2036, 269, 15661, 616, 4122, 1634, 607, 15144, 25154, 267, 610, 267, 952, 519, 8768, 9843, 616, 1212, 23264, 676, 535, 30913, 566, 267, 524, 4169, 1260, 2125, 269, 634, 12593, 2012, 2501, 689, 519, 5259, 2262, 968, 30448, 657, 5608, 799, 1797, 968, 14315, 539, 892, 610, 968, 321, 9506, 5608, 13288, 547, 519, 8768, 9843, 602, 1413, 899, 26428, 269, 634, 13598, 2012, 568, 6508, 689, 519, 9147, 5259, 2262, 3852, 374, 394, 362, 16575, 15770, 14267, 19084, 630, 330, 21681, 501, 548, 657, 1070, 2495, 8781, 267, 543, 4016, 547, 519, 18723, 6438, 8768, 9843, 269, 22966, 657, 807, 10301, 513, 4463, 540, 476, 3374, 268, 2412, 4699, 267, 814, 513, 5594, 25970, 32709, 543, 2115, 4986, 6306, 689, 2614, 1216, 547, 1832, 15496, 18991, 585, 3275, 269, 634, 2371, 616, 1134, 1634, 538, 5101, 4000, 781, 1164, 4133, 543, 616, 1031, 896, 741, 4210, 1695, 8270, 2012, 267, 544, 325, 2426, 340, 269, 14105, 21118, 532, 269, 1403, 789, 723, 1212, 23264, 8768, 9843, 267, 1287, 789, 616, 849, 1634, 607, 524, 4169, 1260, 2125, 269, 1358, 616, 2219, 547, 581, 835, 540, 519, 2479, 331, 8463, 8677, 540, 32395, 267, 543, 616, 4122, 12015, 269, 595, 269, 838, 545, 1092, 267, 838, 27419, 524, 4169, 18474, 267, 568, 849, 1634, 607, 10568, 13767, 657, 807, 585, 922, 7522, 267, 838, 1731, 344, 8768, 9843, 267, 24188, 540, 9843, 540, 10568, 269, 769, 1840, 547, 1373, 1031, 607, 513, 9735, 1426, 20013, 267, 891, 2371, 616, 3006, 4294, 547, 6575, 543, 13492, 269, 1358, 616, 1419, 5116, 538, 12417, 609, 824, 3819, 5810, 267, 855, 789, 949, 849, 1118, 9735, 4099, 20355, 267, 607, 1134, 607, 8966, 7802, 17960, 543, 530, 805, 26387, 1107, 799, 616, 4749, 2813, 585, 2353, 12142, 779, 4303, 269, 2073, 19643, 24189, 8768, 2067, 4778, 616, 5835, 543, 3039, 269, 1358, 616, 849, 5828, 883, 24799, 267, 12403, 539, 543, 5116, 883, 27130, 267, 610, 22304, 609, 18717, 267, 18654, 10433, 543, 13342, 269, 1975, 29107, 676, 2433, 305, 599, 11511, 725, 269, 634, 28212, 3132, 5810, 602, 616, 2901, 726, 2541, 6438, 630, 290, 601, 657, 807, 623, 2086, 553, 1773, 2541, 264, 610, 1212, 23264, 630, 1492, 595, 4169, 1260, 2125, 1040, 4706, 4870, 2803, 322, 1878, 616, 3622, 811, 838, 1731, 601, 833, 982, 1212, 23264, 269, 634, 1034, 1455, 835, 568, 519, 5835, 7423, 24189, 8768, 269, 5961, 5680, 21118, 532, 3127, 543, 22966, 657, 807, 4214, 281, 1022, 540, 1896, 2249, 630, 2102, 639, 22966, 657, 807, 3738, 540, 519, 993, 541, 13183, 1920, 267, 540, 5993, 4677, 2371, 1862, 1923, 12791, 267, 12332, 267, 16627, 543, 1806, 901, 2376, 729, 1034, 5063, 15428, 543, 8242, 676, 9253, 20811, 8891, 745, 3960, 10314, 267, 19608, 15503, 269, 22966, 657, 807, 267, 4122, 1634, 607, 968, 342, 944, 25154, 2223, 616, 2818, 540, 519, 993, 541, 13183, 1920, 269, 769, 16241, 24583, 3000, 625, 269, 1677, 930, 267, 519, 13767, 657, 807, 8768, 4564, 513, 1978, 18174, 880, 1145, 282, 547, 1866, 267, 789, 2099, 513, 7772, 748, 267, 9296, 6088, 15754, 269, 2371, 634, 22966, 657, 807, 1772, 1323, 3798, 1043, 27003, 269, 22966, 657, 5362, 1107, 799, 616, 2818, 540, 519, 993, 541, 13183, 19687, 1920, 543, 993, 541, 13183, 334, 728, 2801, 1016, 26967, 1107, 616, 1767, 547, 723, 12090, 593, 519, 3819, 19527, 540, 4000, 267, 1498, 713, 1650, 568, 8185, 23503, 267, 607, 789, 616, 849, 12212, 5116, 538, 4525, 540, 3127, 267, 543, 22586, 2127, 540, 1312, 3345, 543, 3162, 3013, 269, 22966, 657, 807, 616, 2371, 689, 519, 993, 541, 13183, 19687, 267, 799, 568, 519, 1920, 540, 993, 541, 13183, 269, 7233, 7392, 281, 4173, 321, 17675, 8768, 267, 6140, 6738, 607, 606, 5993, 8752, 281, 634, 524, 4169, 18474, 8768, 3340, 2407, 3141, 547, 798, 1655, 269, 15661, 616, 4122, 1634, 607, 15144, 25154, 1452, 3623, 5652, 5810, 4268, 5594, 538, 5920, 269, 589, 4759, 540, 519, 2549, 541, 13183, 1920, 267, 621, 3568, 827, 476, 2568, 2249, 5065, 547, 2694, 540, 5607, 543, 4000, 269, 634, 8768, 4778, 616, 711, 607, 6505, 607, 609, 824, 2010, 267, 855, 789, 2097, 538, 9782, 1790, 1074, 267, 3043, 543, 4158, 2699, 8677, 269, 595, 4169, 18474, 4214, 267, 519, 2036, 610, 1286, 684, 2193, 540, 513, 15483, 269, 14351, 6763, 585, 5898, 2479, 331, 8463, 543, 513, 7772, 748, 6126, 1272, 269, 3371, 568, 519, 1439, 1267, 540, 1250, 1788, 269, 2073, 1022, 2030, 540, 519, 12593, 22966, 657, 807, 267, 2348, 1507, 267, 2356, 2699, 610, 5835, 880, 5810, 538, 10053, 267, 1212, 23264, 610, 20034, 601, 833, 26389, 269, 24718, 524, 4169, 18474, 630, 3698, 269, 932, 24075, 656, 1335, 636, 26540, 910, 24436, 1299, 6399, 902, 267, 4457, 28469, 1181, 26540, 910, 24436, 1299, 6399, 902, 267, 22216, 787, 2349, 1601, 558, 26540, 910, 24436, 1299, 6399, 902, 267, 25376, 326, 664, 6807, 320, 7233 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5426, 1384, 2171, 666, 2759, 513, 1507, 6906, 1055, 519, 7944, 540, 513, 4009, 543, 1287, 3514, 519, 1079, 4773, 1927, 269, 2052, 596, 960, 856, 875, 891, 5546, 616, 1500, 689, 519, 1079, 4773, 2496, 2162, 20472, 27984, 3613, 3863, 338, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 13014, 513, 13306, 856, 540, 2269, 9749, 543, 723, 513, 979, 693, 713, 4052, 4161, 780, 2162, 26271, 531, 10222, 9201, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 8196, 519, 3515, 593, 713, 4137, 547, 1397, 875, 519, 4009, 666, 581, 5258, 883, 476, 273, 30556, 267, 476, 274, 555, 8674, 267, 476, 277, 3670, 2195, 543, 476, 280, 562, 514, 2195, 780, 2162, 2913, 2974, 14484, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 8489, 666, 596, 2322, 519, 11604, 2066, 519, 4009, 865, 602, 596, 666, 1869, 834, 5408, 257, 519, 2898, 4009, 286, 1215, 1082, 1114, 7158, 616, 2009, 2496, 2162, 14208, 3591, 270, 549, 701, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 29613, 553, 585, 4052, 2081, 540, 8204, 1239, 971, 607, 966, 3317, 543, 2961, 2651, 12222, 780, 2162, 18599, 4469, 5792, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 20059, 580, 622, 519, 10545, 1297, 540, 7575, 621, 3217, 547, 2490, 891, 1319, 338, 26700, 16365, 952, 596, 666, 1152, 2490, 4010, 1614, 693, 513, 942, 780, 2162, 9741, 2494, 692, 7462, 6520, 476, 276, 547, 476, 278, 7420, 5426, 1384, 763, 2494, 568, 1454, 4130, 982, 721, 269, 2052, 596, 946, 519, 4605, 540, 1864, 1985, 547, 513, 544, 1872, 547, 7447, 1010, 4463, 543, 875, 1454, 7401, 646, 10425, 2496, 2162, 589, 4975, 540, 570, 10183, 692, 7462, 6520, 476, 276, 547, 476, 278, 7420, 5426, 1384, 1103, 713, 4884, 267, 8075, 616, 3710, 609, 835, 4055, 585, 1142, 1268, 269, 1703, 616, 930, 3885, 540, 5722, 1004, 2713, 538, 519, 4884, 269, 769, 875, 1082, 1114, 2081, 666, 789, 1628, 741, 8075, 2496, 2162, 8414, 16199, 1324, 692, 7462, 6520, 476, 276, 547, 476, 278, 7420, 5426, 1384, 4692, 596, 8237, 1142, 540, 519, 5546, 2630, 538, 3368, 865, 602, 519, 1079, 2694, 616, 4010, 519, 1482, 2496, 2162, 623, 4202, 540, 10606, 692, 7462, 6520, 476, 276, 547, 476, 278, 7420, 5426, 1384, 2252, 596, 723, 4557, 27669, 22921, 476, 272, 547, 476, 1015, 267, 875, 1082, 666, 596, 2322, 883, 8424, 602, 1039, 547, 476, 1015, 286, 6904, 3283, 798, 596, 723, 547, 4734, 856, 286, 4208, 2496, 2162, 15147, 519, 570, 2001, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 4322, 4052, 2591, 616, 782, 827, 1818, 513, 1412, 339, 2001, 262, 543, 8720, 621, 609, 1957, 780, 2162, 6875, 2290, 5450, 516, 692, 7462, 6520, 476, 276, 547, 476, 278, 7420, 5426, 1384, 2791, 786, 991, 513, 1279, 14816, 540, 1957, 585, 713, 4305, 269, 12338, 621, 883, 1114, 13080, 269, 1215, 1223, 596, 1265, 856, 875, 1279, 1142, 4062, 568, 2496, 2162, 2961, 17714, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 1607, 4052, 2534, 3322, 7893, 3259, 7933, 2700, 780, 2162, 645, 2714, 956, 630, 273, 2020, 7462, 6520, 476, 276, 547, 476, 278, 7420, 5426, 1384, 1103, 713, 2534, 2519, 593, 4390, 267, 596, 786, 991, 513, 4015, 540, 1114, 30660, 543, 14569, 780, 2162, 645, 2714, 956, 630, 272, 2020, 7462, 6520, 476, 276, 547, 476, 278, 7420, 5426, 1384, 2690, 713, 2534, 799, 7710, 4390, 267, 596, 786, 991, 547, 2445, 930, 14569, 543, 30660, 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 ]
[ 0, 763, 13105, 568, 519, 1034, 5985, 4745, 540, 519, 1560, 267, 5827, 540, 513, 5318, 2039, 540, 5322, 14178, 856, 2072, 267, 1524, 2072, 267, 1657, 938, 9843, 267, 3297, 938, 19758, 543, 865, 593, 563, 4415, 1390, 8112, 2501, 513, 1390, 5539, 585, 519, 4745, 547, 2611, 7123, 269, 2755, 938, 17525, 798, 513, 3622, 1434, 2816, 540, 621, 267, 13105, 1928, 543, 824, 2152, 616, 9765, 5944, 1455, 563, 257, 19675, 518, 2042, 616, 1360, 1455, 2437, 3220, 1488, 684, 10548, 28385, 267, 7548, 540, 9647, 30249, 14037, 6391, 693, 12370, 6481, 3427, 267, 6645, 12370, 2657, 563, 763, 13105, 4745, 568, 11141, 855, 8886, 908, 569, 18633, 269, 4706, 2039, 540, 3350, 3762, 621, 7925, 547, 5945, 267, 543, 1928, 666, 1020, 538, 1312, 519, 2110, 543, 1279, 2165, 563, 763, 1034, 1455, 3123, 540, 13105, 1928, 454, 9199, 6373, 543, 5945, 454, 9199, 6373, 543, 5945, 547, 519, 13105, 616, 930, 540, 519, 1034, 1455, 3123, 540, 13105, 1928, 563, 11514, 331, 6327, 540, 519, 13105, 568, 519, 1034, 1455, 4745, 20247, 6327, 267, 8051, 585, 936, 3368, 540, 782, 4745, 20247, 23148, 269, 2368, 2959, 2303, 602, 10199, 476, 272, 269, 278, 260, 540, 519, 2698, 2551, 786, 7985, 513, 13105, 20247, 6327, 693, 930, 1448, 538, 741, 2729, 563, 5415, 982, 3368, 540, 13105, 20247, 23148, 2049, 1063, 519, 6502, 540, 476, 1428, 543, 476, 3066, 19962, 547, 513, 4999, 540, 2799, 2168, 2534, 543, 3152, 4745, 10688, 563, 763, 1981, 568, 5207, 585, 1762, 2367, 267, 855, 972, 568, 513, 13581, 2333, 538, 1981, 585, 2021, 1657, 519, 2085, 540, 476, 2004, 849, 269, 1717, 267, 13105, 20247, 6327, 666, 1869, 2049, 693, 1022, 942, 563, 19675, 518, 20247, 6327, 3123, 519, 4232, 1807, 524, 4428, 28587, 547, 12701, 543, 15237, 543, 949, 2014, 5945, 547, 519, 2978, 5300, 267, 513, 4062, 540, 20162, 602, 18795, 2509, 519, 3490, 540, 519, 13105, 267, 543, 519, 20162, 23555, 602, 14014, 519, 1283, 540, 519, 4745, 563, 1103, 329, 3753, 547, 519, 2978, 5300, 543, 4232, 1807, 524, 4428, 666, 2014, 16132, 799, 5012, 547, 10956, 20247, 23148, 543, 5312, 1928, 563, 5194, 13105, 8194, 568, 2909, 577, 658, 533, 2716, 639, 5945, 267, 799, 568, 1455, 538, 3346, 5026, 267, 849, 1634, 607, 513, 2048, 560, 5424, 685, 5945, 538, 24821, 2421, 563, 24154, 577, 658, 533, 2716, 639, 7063, 2049, 950, 519, 13285, 2066, 519, 13105, 543, 8405, 616, 15504, 689, 519, 5160, 610, 267, 538, 3665, 2665, 267, 11207, 678, 5792, 689, 519, 11983, 10260, 563, 2662, 12241, 713, 4992, 21472, 267, 1034, 2909, 577, 658, 533, 2716, 639, 7063, 12115, 11207, 609, 8766, 6304, 563, 268, 9701, 518, 8194, 543, 5945, 616, 930, 540, 519, 1034, 1455, 4745, 7063, 563, 268, 4107, 13105, 20247, 23148, 2049, 538, 7820, 1004, 267, 855, 789, 666, 2049, 693, 1022, 2085, 563, 268, 4495, 513, 13105, 20247, 665, 919, 267, 621, 779, 1455, 547, 1995, 5571, 16132, 538, 519, 4745, 563, 268, 4858, 577, 658, 533, 2716, 639, 7063, 547, 519, 5580, 13105, 543, 8405, 616, 1776, 1826, 540, 13105, 5945, 602, 3322, 5945, 547, 519, 13285, 563, 268, 9701, 518, 20247, 23148, 616, 711, 2523, 5906, 865, 1279, 607, 519, 4745, 568, 882, 11343, 3833, 3533, 267, 23679, 1369, 3368, 606, 5662, 547, 606, 5662, 269, 901, 11151, 2417, 11926, 543, 6553, 269, 8409, 945, 1995, 10956, 20247, 23148, 1419, 1265, 513, 1259, 540, 882, 20814, 519, 4745, 2933, 563, 6635, 9374, 543, 824, 12982, 2175, 454, 12024, 1022, 4745, 538, 519, 1560, 267, 519, 13105, 568, 12155, 547, 5957, 7146, 2389, 792, 3056, 547, 30169, 269, 28039, 15436, 1355, 12263, 666, 849, 1860, 519, 13105, 4745, 563, 1103, 25691, 538, 519, 4745, 666, 2014, 1928, 267, 20765, 543, 15176, 10688, 269, 901, 568, 835, 540, 519, 811, 1455, 3123, 540, 13105, 1928, 538, 4587, 2043, 269, 1717, 267, 13105, 12263, 568, 4440, 1447, 1455, 982, 12263, 538, 824, 10549, 899, 519, 19704, 267, 25637, 267, 1394, 267, 11263, 543, 8405, 563, 5194, 12982, 2783, 602, 666, 1860, 519, 13105, 568, 536, 2720, 4345, 267, 606, 6553, 540, 519, 5714, 23752, 5485, 338, 602, 31289, 519, 10549, 563, 268, 5637, 30169, 543, 27131, 12263, 666, 2014, 13105, 1928, 563, 268, 1488, 9374, 3123, 519, 1585, 3889, 538, 519, 13105, 547, 5957, 543, 1831, 28332, 563, 268, 645, 2720, 4345, 568, 1776, 12982, 2783, 602, 3123, 519, 5714, 23752, 5485, 338, 1472, 519, 13105, 547, 1831, 28332, 563, 268, 9701, 518, 12263, 666, 2097, 543, 979, 610, 949, 1831, 513, 811, 5312, 3390, 282, 621, 779, 849, 1644, 547, 13792, 13105, 563, 293, 549, 7999, 13105, 568, 811, 1455, 538, 519, 936, 268, 2004, 338, 543, 568, 27537, 676, 1799, 984, 559, 2358, 1928, 538, 519, 13105, 563, 293, 549, 7999, 13105, 568, 3622, 3361, 676, 4028, 12614, 540, 2199, 2213, 6553, 1472, 519, 13105, 4745, 269, 898, 949, 581, 3361, 676, 513, 27506, 5346, 540, 12263, 543, 568, 4440, 811, 2693, 547, 2049, 538, 1346, 945, 723, 4810, 13105, 7063, 1354, 563, 268, 31530, 7999, 13105, 568, 1869, 711, 4628, 6956, 267, 855, 621, 2356, 3322, 2199, 2213, 6553, 1472, 519, 13105, 4745, 563, 268, 589, 11213, 2783, 267, 13792, 13105, 666, 581, 29134, 543, 949, 1256, 1491, 1296, 547, 1016, 2515, 4625, 563, 268, 31530, 7999, 13105, 568, 811, 1455, 538, 1346, 609, 4745, 5957, 7146, 2389, 792, 267, 513, 1686, 540, 12982, 2068, 610, 1346, 945, 723, 4810, 13105, 8194, 610, 7063, 563, 29587, 6285, 543, 13105, 1928, 454, 2005, 779, 1271, 547, 3314, 602, 1928, 10237, 908, 2429, 519, 9221, 543, 13105, 267, 3226, 519, 2451, 13105, 267, 666, 581, 513, 1129, 540, 513, 2295, 4323, 563, 27269, 267, 519, 1928, 10237, 919, 909, 547, 519, 24060, 543, 1524, 519, 6186, 1932, 269, 1280, 2367, 267, 519, 1928, 568, 2356, 4330, 607, 11493, 543, 949, 581, 10483, 676, 26032, 540, 7362, 267, 804, 20632, 2960, 543, 1769, 20243, 1145, 269, 1280, 2021, 267, 2295, 4323, 1928, 543, 2589, 616, 1419, 811, 11029, 563, 8448, 3123, 540, 13105, 1928, 454, 19675, 518, 1928, 3884, 1406, 2141, 3361, 676, 519, 4745, 3294, 269, 26298, 9395, 1145, 610, 838, 1778, 538, 519, 1394, 267, 8405, 267, 9221, 610, 17525, 666, 2014, 13105, 1928, 563, 19675, 518, 1928, 949, 1267, 689, 4057, 14302, 267, 16625, 8833, 267, 4887, 838, 23230, 543, 15319, 6091, 689, 936, 1740, 610, 936, 268, 2169, 3290, 563, 2750, 2075, 2478, 585, 8405, 543, 13105, 1928, 454, 19865, 543, 1610, 23956, 666, 20427, 2087, 13105, 1928, 563, 2252, 596, 4076, 4810, 513, 13105, 5945, 610, 13792, 13105, 267, 1287, 707, 4387, 1058, 3277, 596, 585, 1610, 23956, 269, 901, 786, 1376, 609, 606, 4879, 540, 707, 13105, 6617, 267, 3350, 543, 4222, 269, 2659, 1610, 1470, 786, 1491, 596, 998, 930, 5751, 602, 666, 7930, 25580, 4222, 543, 22231, 269, 898, 781, 2629, 547, 1376, 7444, 543, 1628, 909, 3350, 693, 513, 11931, 10605, 547, 2057, 5368, 329, 1722, 563, 2252, 596, 2461, 7680, 13105, 1928, 1813, 547, 4887, 9395, 1145, 267, 15319, 1145, 610, 824, 1875, 32034, 7063, 267, 596, 666, 3391, 3054, 998, 707, 1378, 13105, 3635, 12512, 269, 1717, 267, 2141, 3717, 547, 513, 4387, 952, 596, 1589, 596, 991, 519, 3039, 1769, 547, 3635, 707, 13105, 1510, 3318, 6351, 563, 2690, 13105, 543, 8405, 1928, 267, 519, 8405, 5305, 568, 606, 5140, 3635, 602, 666, 849, 948, 609, 1928, 4611, 689, 3983, 14302, 269, 898, 3322, 16089, 519, 2212, 865, 707, 24060, 18795, 593, 707, 5580, 1394, 543, 9900, 2220, 11691, 519, 8405, 689, 2427, 547, 2427, 267, 21266, 1154, 621, 2509, 519, 17525, 563, 268, 30557, 610, 9361, 267, 1577, 519, 2212, 6749, 547, 519, 9221, 454, 268, 28528, 32022, 707, 2212, 689, 2427, 547, 2427, 454, 268, 19244, 593, 1312, 5011, 454, 5194, 1769, 3635, 602, 568, 1390, 585, 13105, 543, 8405, 1928, 269, 717, 8692, 519, 1394, 540, 707, 10160, 609, 707, 1688, 543, 7485, 707, 8731, 810, 1472, 547, 1413, 3297, 596, 269, 5901, 519, 25637, 6849, 4464, 563, 268, 1530, 730, 267, 17945, 519, 1394, 540, 707, 11381, 454, 268, 29553, 707, 8731, 810, 543, 1394, 1472, 547, 1413, 3297, 596, 454, 268, 5901, 519, 25637, 6849, 4464, 454, 10907, 1484, 519, 9221, 12701, 454, 3080, 540, 519, 1655, 13105, 16405, 5751, 585, 31811, 32609, 614, 640, 538, 519, 4395, 543, 1394, 540, 519, 4745, 269, 901, 9543, 12701, 11226, 609, 8112, 269, 898, 3322, 17444, 707, 6186, 9900, 2066, 707, 9221, 269, 901, 568, 513, 3335, 2922, 2990, 585, 1346, 609, 18633, 13105, 10549, 563, 268, 30557, 267, 3142, 707, 6186, 2066, 707, 9221, 454, 268, 29553, 707, 6186, 2509, 707, 9221, 9900, 609, 707, 824, 6186, 865, 596, 666, 1745, 707, 13105, 6091, 12701, 454, 268, 19244, 609, 1312, 7916, 454, 2750, 2075, 2478, 585, 15319, 17525, 454, 30265, 10580, 543, 23638, 454, 301, 9391, 22252, 15565, 891, 2010, 540, 1769, 5751, 585, 1346, 945, 616, 711, 2943, 4712, 585, 4222, 2866, 269, 1358, 4125, 16304, 707, 6186, 1055, 513, 3349, 543, 2220, 15781, 621, 1394, 267, 8521, 543, 1472, 538, 1507, 10580, 563, 268, 2274, 534, 936, 513, 11380, 610, 3349, 267, 19755, 707, 1394, 2509, 476, 3445, 5232, 454, 268, 2913, 707, 6186, 6001, 454, 268, 28528, 1847, 707, 6186, 1394, 543, 8521, 454, 268, 8844, 707, 6186, 5180, 538, 10580, 454, 5141, 5684, 539, 6186, 6318, 454, 763, 804, 5684, 539, 6186, 6318, 568, 5140, 585, 11222, 22626, 13676, 17525, 607, 621, 8952, 17525, 1927, 538, 513, 3335, 7123, 2990, 269, 1849, 5684, 707, 3946, 538, 4395, 540, 707, 1560, 543, 9900, 12740, 873, 909, 543, 1524, 547, 3635, 519, 17525, 269, 1411, 666, 1039, 513, 1769, 2597, 267, 899, 513, 1216, 11480, 267, 952, 596, 2811, 8746, 609, 519, 2990, 563, 268, 30557, 909, 267, 1747, 707, 3946, 538, 4395, 540, 707, 1560, 543, 804, 5684, 873, 1927, 454, 268, 28528, 1847, 707, 7916, 909, 543, 1524, 454, 268, 5213, 1406, 7485, 707, 7916, 3564, 519, 1394, 540, 707, 2212, 454, 4910, 2700, 13164, 2709, 513, 5266, 2922, 543, 3551, 1259, 547, 960, 856, 519, 17525, 267, 1394, 543, 9221, 6091, 269, 3367, 938, 3391, 593, 1210, 4187, 13164, 1934, 585, 513, 2143, 15059, 540, 519, 1082, 2010, 540, 5751, 596, 666, 798, 609, 4187, 13164, 563, 2690, 519, 17525, 267, 2119, 513, 1412, 637, 2700, 6512, 7485, 6306, 3299, 1141, 596, 3180, 519, 6512, 13105, 2914, 5954, 6306, 543, 7930, 7485, 856, 2072, 269, 3619, 3500, 282, 596, 12582, 1405, 946, 4187, 13164, 26490, 1947, 563, 268, 15579, 519, 4187, 6512, 538, 707, 3946, 538, 4395, 540, 707, 1560, 454, 268, 28528, 7485, 519, 6512, 6306, 454, 268, 3399, 2539, 1354, 9870, 707, 3946, 2509, 13105, 4463, 454, 268, 5213, 1406, 9765, 13105, 8700, 693, 1101, 454, 1805, 31104, 2866, 585, 13105, 1928, 454, 1805, 31104, 2866, 13976, 4887, 1472, 519, 17525, 267, 9395, 2287, 519, 4745, 543, 5355, 6617, 269, 898, 779, 2629, 711, 547, 7914, 519, 7784, 950, 621, 2501, 547, 4222, 2866, 267, 3226, 952, 596, 4312, 11124, 513, 13105, 5945, 563, 2252, 596, 1995, 13105, 1928, 1282, 11319, 5751, 610, 1022, 824, 2597, 24481, 5751, 267, 621, 781, 1898, 547, 3247, 543, 2708, 3054, 543, 3343, 5796, 952, 2877, 269, 11408, 5077, 707, 4387, 610, 1610, 19708, 1905, 626, 952, 596, 2461, 18516, 563, 5649, 938, 3391, 593, 4222, 2866, 585, 519, 936, 268, 2004, 338, 1934, 282, 621, 3568, 930, 5140, 5751, 602, 666, 1205, 596, 3323, 563, 10673, 1406, 30391, 519, 2956, 540, 824, 2010, 540, 3635, 269, 2353, 5751, 979, 930, 1259, 547, 5355, 10009, 267, 8112, 267, 4222, 267, 10688, 543, 8516, 269, 6744, 856, 519, 853, 11691, 15765, 1858, 540, 519, 3135, 585, 3635, 2093, 267, 8516, 20816, 543, 5363, 4388, 543, 15361, 602, 666, 948, 596, 10726, 13105, 1928, 269, 0, 16449, 519, 3676, 602, 616, 10299, 998, 519, 2011, 538, 1840, 547, 13044, 268, 866, 267, 27330, 267, 31847, 543, 21061, 563, 4517, 4966, 689, 519, 2475, 15544, 585, 8376, 6513, 543, 10644, 2015, 602, 519, 1292, 7154, 540, 6771, 3788, 1975, 2001, 12772, 28614, 8778, 540, 1585, 7306, 602, 519, 7783, 1268, 1085, 520, 1562, 950, 32125, 267, 23472, 267, 13465, 267, 6340, 543, 7244, 563, 3719, 519, 9337, 602, 2501, 4557, 3275, 1310, 519, 1376, 540, 519, 6855, 25495 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7040, 4469, 4711, 267, 12791, 540, 570, 878, 565, 528, 25035, 267, 23193, 267, 6129, 543, 4210, 867, 634, 9206, 729, 21243, 609, 900, 21793, 267, 799, 941, 2901, 2706, 574, 12723, 936, 621, 610, 729, 5116, 1657, 519, 9206, 269, 634, 10513, 9605, 568, 519, 3090, 540, 1072, 267, 3002, 267, 1769, 543, 6457, 269, 5900, 3737, 547, 519, 2539, 6316, 941, 512, 553, 17632, 540, 5835, 267, 4012, 31980, 267, 543, 25243, 267, 609, 1804, 20805, 656, 9925, 1564, 269, 634, 23193, 543, 6129, 2506, 12378, 3254, 1934, 538, 713, 6073, 281, 634, 11660, 3778, 568, 519, 1152, 1259, 547, 1382, 543, 1353, 1686, 538, 519, 476, 2641, 560, 11416, 269, 594, 2328, 519, 968, 26199, 3778, 892, 1141, 594, 1382, 543, 946, 519, 3621, 5013, 543, 2963, 607, 1250, 6054, 543, 5748, 269, 11153, 824, 7306, 540, 2694, 540, 519, 17514, 616, 4330, 538, 519, 2241, 4070, 6656, 267, 855, 891, 2418, 616, 711, 782, 5812, 609, 519, 5730, 2418, 5833, 952, 1739, 519, 8106, 4070, 269, 589, 15939, 18779, 573, 19092, 281, 476, 4649, 280, 7460, 1107, 476, 20065, 7460, 23193, 543, 6129, 2506, 12378, 476, 4375, 269, 4438, 922, 6228, 267, 621, 12199, 936, 5527, 267, 519, 2274, 2779, 267, 519, 5664, 5101, 267, 3690, 2135, 16492, 267, 543, 2694, 540, 634, 26811, 753, 267, 519, 24272, 30510, 267, 543, 12907, 269, 589, 15939, 18779, 1014, 14655, 13642, 26267, 9208, 540, 7261, 6350, 519, 4279, 476, 277, 7460, 9459, 25035, 681, 739, 600, 10787, 758, 327, 345, 611, 543, 1010, 2367, 10692, 2394, 519, 3803, 6749, 540, 741, 1973, 21108, 9459, 267, 1247, 10599, 1194, 519, 14205, 720, 19966, 2692, 5336, 639, 3916, 12833, 19470, 269, 1744, 2313, 514, 752, 3710, 1082, 17633, 543, 5206, 1082, 1202, 18587, 269, 2073, 7261, 6350, 519, 4279, 267, 513, 14655, 267, 17204, 1010, 22516, 8330, 344, 1137, 267, 519, 4400, 25960, 630, 21914, 264, 540, 519, 2405, 525, 267, 543, 8547, 9459, 676, 796, 1746, 519, 6431, 2103, 543, 519, 2405, 525, 269, 7216, 17286, 9857, 802, 941, 1210, 741, 2757, 900, 21793, 267, 855, 789, 7930, 7550, 2199, 7332, 900, 21793, 543, 536, 22395, 269, 2506, 30752, 971, 607, 1744, 777, 712, 634, 4279, 267, 1323, 2313, 597, 7079, 267, 543, 10609, 657, 992, 3474, 341, 714, 530, 8491, 713, 7333, 1676, 543, 4279, 13639, 24285, 971, 607, 29233, 540, 9459, 267, 4937, 3203, 21983, 321, 617, 834, 305, 739, 600, 3887, 10787, 758, 327, 345, 611, 257, 634, 4279, 14655, 15552, 1185, 10692, 543, 5747, 896, 713, 7333, 1676, 269, 476, 275, 269, 1280, 811, 1344, 827, 519, 824, 2776, 589, 32569, 22504, 9147, 6406, 3074, 1224, 281, 14655, 30733, 539, 18409, 568, 835, 540, 519, 968, 25324, 1014, 30733, 539, 15050, 2103, 6100, 769, 11685, 547, 519, 1699, 12512, 538, 9459, 267, 513, 1297, 540, 22504, 608, 3796, 630, 31860, 538, 11968, 13353, 264, 3136, 547, 946, 519, 22504, 28886, 565, 528, 609, 519, 23193, 543, 6129, 693, 519, 4099, 907, 4653, 519, 7108, 543, 31947, 616, 14655, 9576, 27413, 543, 14655, 29062, 269, 898, 4553, 519, 2405, 1014, 7276, 607, 519, 2034, 1390, 10504, 540, 519, 22504, 9082, 269, 729, 4362, 693, 3131, 572, 335, 12994, 538, 476, 3707, 279, 269, 2353, 3425, 543, 2609, 540, 519, 7122, 723, 1312, 1434, 543, 9409, 538, 873, 543, 789, 1590, 2226, 513, 3666, 1063, 519, 1079, 610, 3116, 519, 1062, 540, 519, 7122, 2458, 22663, 269, 634, 23193, 543, 6129, 30118, 568, 519, 9510, 6348, 589, 32569, 9459, 545, 8298, 334, 2469, 1394, 476, 8517, 271, 1296, 269, 901, 568, 519, 2034, 7160, 540, 1250, 1433, 609, 8242, 1344, 543, 1082, 1007, 17514, 269, 30111, 568, 513, 1106, 762, 4182, 538, 519, 5664, 5101, 267, 8204, 513, 11808, 540, 519, 14655, 7276, 607, 621, 11478, 896, 519, 589, 15939, 18779, 573, 15913, 2394, 519, 9518, 3949, 540, 12138, 519, 4279, 543, 1131, 13840, 581, 4553, 909, 676, 519, 3474, 628, 2103, 543, 2523, 519, 590, 28045, 1749, 269, 23817, 3036, 294, 8656, 2433, 840, 476, 5611, 273, 17514, 30111, 269, 634, 589, 15939, 18779, 573, 7276, 267, 524, 269, 476, 20862, 268, 20065, 14514, 267, 610, 3689, 14655, 7276, 267, 729, 8547, 538, 519, 476, 277, 628, 2540, 14514, 676, 7261, 6350, 519, 4279, 267, 538, 5375, 543, 6239, 5607, 269, 901, 1603, 14906, 619, 519, 9206, 1875, 3146, 23983, 269, 634, 9206, 729, 21243, 609, 900, 21793, 267, 799, 941, 2901, 2706, 574, 12723, 936, 621, 610, 729, 5116, 1657, 519, 9206, 269, 589, 15939, 18779, 573, 10504, 642, 10382, 393, 377, 333, 10382, 3852, 501, 16708, 10382, 395, 501, 4244, 535, 24655, 1086, 1014, 3540, 2112, 9456, 8915, 22038, 4244, 9206, 540, 3352, 534, 1086, 1014, 10504, 18376, 1098, 11985, 15242, 9206, 30118, 533, 978, 476, 16328, 279, 476, 15686, 279, 1098, 11985, 3352, 534, 269, 6129, 4564, 281, 1769, 267, 14246, 543, 7326, 267, 799, 31438, 2390, 519, 589, 787, 753, 269, 634, 4013, 589, 15939, 18779, 573, 779, 15875, 3938, 628, 1787, 14465, 1676, 267, 589, 15939, 18779, 1014, 13642, 26267, 3557, 9208, 2296, 281, 9208, 540, 7261, 6350, 519, 4279, 267, 13653, 540, 519, 14655, 589, 15939, 18779, 573, 7276, 5861, 6817, 519, 281, 14216, 2378, 3333, 3887, 20961, 321, 1794, 3887, 6874, 531, 599, 328, 610, 519, 13642, 24415, 935, 630, 25324, 1014, 281, 12168, 363, 14507, 28519, 404, 368, 12168, 368, 8294, 20901, 24220, 8294, 404, 366, 12168, 371, 12022, 8294, 17262, 17262, 1040, 3848, 476, 1691, 281, 9459, 15348, 11833, 630, 7709, 290, 264, 4469, 4711, 267, 10390, 267, 17796, 269, 901, 568, 513, 667, 23581, 13910, 23193, 799, 1185, 7902, 538, 519, 14655, 15339, 543, 6149, 26002, 4358, 689, 519, 942, 540, 667, 23581, 519, 4279, 630, 276, 2420, 7460, 910, 476, 4366, 277, 7460, 1040, 4107, 1271, 267, 568, 519, 1249, 602, 594, 1413, 693, 519, 1686, 607, 513, 3621, 2361, 267, 799, 2115, 547, 581, 18175, 24612, 676, 942, 269, 590, 8491, 676, 589, 686, 3570, 269, 11908, 2433, 476, 5611, 273, 910, 476, 13923, 275, 30111, 269, 634, 589, 15939, 18779, 1014, 14655, 7276, 3557, 14465, 1676, 269, 898, 16768, 689, 476, 20862, 7460, 268, 20065, 7460, 269, 1306, 634, 14655, 8003, 630, 8469, 1014, 8003, 264, 2968, 634, 14655, 7276, 630, 288, 15939, 18779, 573, 781, 7276, 1070, 713, 7333, 1676, 2968, 519, 4013, 7333, 1676, 540, 634, 14655, 7276, 269, 901, 4528, 540, 10897, 327, 573, 1695, 752, 630, 291, 16400, 264, 1185, 513, 18057, 269, 2073, 4438, 519, 12081, 540, 15011, 13758, 20961, 267, 519, 1079, 1114, 17794, 900, 21793, 941, 5916, 883, 513, 2582, 9206, 799, 12286, 513, 17794, 1780, 656, 8066, 513, 18156, 538, 4395, 540, 513, 3141, 269, 634, 14618, 540, 9459, 267, 829, 519, 476, 2735, 271, 11156, 267, 4957, 519, 9206, 543, 13021, 540, 1533, 538, 810, 30138, 607, 519, 23193, 543, 6129, 941, 8719, 676, 519, 2699, 30118, 538, 519, 8998, 540, 519, 9206, 269, 901, 30118, 568, 10169, 2147, 547, 519, 10609, 7701, 855, 814, 1100, 6935, 547, 31881, 11297, 543, 922, 2495, 547, 602, 3909, 2146, 269, 476, 1703, 729, 849, 513, 17189, 1671, 793, 799, 1185, 513, 2699, 543, 3039, 8473, 543, 513, 3540, 1671, 793, 799, 6743, 519, 1482, 607, 519, 17189, 1671, 793, 855, 1510, 519, 17794, 543, 3141, 538, 519, 1647, 269, 898, 849, 814, 606, 4277, 2680, 602, 2636, 596, 547, 1689, 707, 3854, 547, 4277, 4025, 267, 1498, 711, 2560, 634, 4013, 9206, 540, 519, 10504, 729, 1034, 4440, 513, 3109, 9206, 267, 2147, 547, 519, 9206, 540, 519, 2806, 21353, 573, 2836, 13023, 622, 269, 590, 28045, 1014, 11135, 9208, 7982, 547, 3778, 12039, 7982, 547, 31538, 338, 12039, 1411, 616, 827, 547, 7747, 519, 5767, 543, 519, 1034, 4977, 3140, 1382, 540, 519, 476, 2641, 560, 327, 11416, 827, 519, 1686, 540, 519, 22504, 9206, 269, 589, 32142, 15011, 13758, 16679, 729, 519, 7831, 14655, 14890, 269, 2473, 523, 2684, 517, 538, 7261, 1886, 320, 4215, 630, 278, 269, 272, 269, 275, 264, 6257, 519, 3044, 540, 3203, 1314, 518, 343, 525, 4083, 693, 595, 684, 1314, 320, 607, 834, 320, 11344, 23914, 267, 609, 856, 4944, 1348, 12209, 267, 28703, 620, 21510, 593, 513, 1279, 27490, 1606, 3873, 1111, 2580, 519, 1482, 7333, 1676, 6592, 547, 581, 1031, 676, 7261, 6350, 519, 4279, 269, 0, 20663, 21091, 13583, 675, 1607, 568, 519, 2347, 12957, 540, 513, 5663, 9744, 971, 607, 513, 12051, 269, 2353, 3252, 616, 896, 2780, 1852, 269, 901, 6238, 609, 2780, 29211, 1374, 267, 4553, 676, 2780, 29211, 5478, 267, 4553, 676, 12747, 4859, 543, 3892, 269, 2290, 7471, 2780, 1062, 8060, 782, 602, 4523, 269, 8609, 2290, 910, 8950, 589, 3660, 5071, 269, 8609, 5565, 910, 5019, 9189, 13583, 675, 269, 8609, 8422, 910, 634, 2780, 1062, 9013, 519, 2030, 1568, 856, 519, 1034, 3608, 1505, 540, 5478, 269, 8609, 9050, 910, 634, 2780, 1062, 9753, 519, 2556, 2326, 547, 5478, 519, 1587, 269, 8609, 12866, 910, 19007, 5956, 609, 519, 1587, 1373, 1500, 1210, 595, 4456, 630, 20663, 589, 3660, 13583, 675, 1040, 8609, 14520, 910, 10866, 1852, 568, 4294, 693, 1169, 3942, 269, 8609, 18599, 910, 634, 1587, 568, 19632, 676, 11608, 269, 8609, 20640, 269, 8609, 27607, 910, 634, 1587, 568, 8850, 6410, 689, 4558, 547, 32261, 561, 528, 1845, 1315, 18114, 585, 3892, 547, 519, 6075, 563, 20663, 21091, 19007, 2421, 6276, 700, 269, 31513, 1496, 9616, 281, 901, 568, 513, 556, 268, 8971, 1540, 12377, 602, 729, 8385, 3370, 538, 2201, 519, 21222, 517, 2073, 476, 1960, 273, 267, 476, 272, 630, 273, 1070, 476, 276, 269, 19402, 519, 17562, 2872, 25457, 1713, 6639, 4434, 267, 2872, 1590, 1413, 11992, 267, 547, 2847, 633, 29345, 3101, 7607, 269, 901, 693, 2547, 267, 568, 875, 930, 3549, 616, 6908, 23164, 741, 1870, 3157, 865, 607, 547, 6175, 519, 942, 2838, 689, 519, 2504, 547, 519, 6765, 540, 2472, 269, 595, 8379, 26779, 3252, 602, 12926, 723, 1044, 5094, 267, 5275, 834, 1729, 6908, 1899, 609, 2298, 1852, 543, 1175, 538, 6066, 5663, 267, 543, 547, 2285, 1169, 3684, 543, 9441, 519, 2702, 547, 2911, 609, 1142, 824, 543, 1412, 31296, 262, 513, 1587, 607, 621, 7575, 998, 519, 3003, 9746, 18180, 1701, 20480, 634, 3498, 540, 595, 8379, 543, 834, 3286, 2987, 6066, 257, 2359, 538, 2872, 814, 6286, 585, 6437, 1646, 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 ]
[ 294, 4637, 543, 13259, 1682, 1107, 3778, 267, 5381, 885, 543, 20212, 454, 763, 717, 4637, 543, 519, 13259, 1682, 941, 1079, 7986, 11031, 15025, 609, 824, 11031, 543, 9782, 547, 17282, 2429, 519, 966, 14037, 1974, 269, 634, 717, 4637, 941, 513, 5318, 14316, 602, 5030, 538, 3574, 539, 4525, 1634, 607, 717, 1180, 32272, 267, 610, 968, 294, 1180, 32272, 13474, 1848, 9540, 518, 804, 753, 3893, 6417, 676, 1367, 986, 329, 553, 610, 986, 529, 267, 543, 13346, 8105, 729, 11342, 563, 7628, 519, 521, 23546, 622, 540, 16156, 779, 2887, 267, 519, 3401, 540, 2462, 717, 1180, 804, 753, 3459, 547, 20441, 519, 14758, 804, 753, 267, 4611, 538, 3844, 1944, 741, 11889, 2497, 269, 5272, 10806, 729, 8237, 883, 12275, 26387, 267, 1016, 323, 22866, 2417, 883, 932, 4768, 12118, 610, 8498, 4559, 269, 589, 932, 4768, 14515, 729, 8237, 2417, 883, 4446, 32718, 563, 5194, 7986, 28334, 602, 12199, 966, 14037, 3127, 729, 519, 13259, 1682, 269, 769, 519, 2038, 476, 1724, 628, 2540, 267, 789, 14612, 689, 27060, 547, 519, 23347, 14090, 583, 571, 9503, 269, 634, 13259, 1682, 1705, 711, 723, 741, 25267, 282, 3079, 267, 789, 3710, 741, 10504, 676, 24057, 8089, 519, 2025, 13225, 340, 12011, 534, 22257, 5943, 563, 763, 4346, 540, 519, 1007, 10806, 3893, 1759, 593, 623, 2967, 802, 610, 7142, 4074, 269, 4256, 10806, 3893, 8237, 883, 918, 515, 3149, 610, 804, 753, 269, 634, 13259, 1682, 2367, 2813, 21394, 267, 12555, 1949, 267, 543, 1857, 1568, 3785, 543, 9415, 1148, 543, 3332, 269, 1358, 849, 12261, 16130, 12591, 883, 13259, 558, 543, 5555, 2667, 1868, 324, 543, 5206, 3140, 6054, 1634, 607, 8738, 534, 329, 529, 563, 17843, 5573, 1063, 575, 4637, 543, 513, 327, 1682, 454, 25105, 1682, 543, 717, 4637, 20212, 24121, 763, 3604, 1063, 13259, 1682, 543, 717, 4637, 616, 607, 5205, 912, 25105, 1682, 941, 23347, 14090, 583, 571, 9503, 20404, 689, 27060, 543, 962, 18365, 534, 19435, 538, 3624, 269, 1358, 26731, 689, 519, 12872, 5336, 784, 565, 1355, 5198, 269, 634, 717, 4637, 267, 593, 519, 824, 1688, 267, 941, 711, 30226, 619, 547, 519, 1858, 269, 1358, 5030, 538, 717, 1180, 32272, 267, 513, 5318, 4104, 2275, 2642, 11782, 563, 763, 13259, 1682, 3964, 741, 6392, 676, 8165, 1996, 519, 25267, 540, 1082, 11031, 269, 634, 14076, 1584, 338, 4299, 519, 717, 4637, 267, 543, 519, 717, 4637, 12936, 519, 14076, 1584, 338, 269, 769, 1931, 547, 2744, 6392, 543, 6284, 267, 789, 585, 3022, 7365, 24816, 609, 14076, 1584, 338, 269, 634, 13259, 1682, 12038, 513, 13172, 540, 2667, 1868, 324, 563, 763, 717, 4637, 267, 593, 519, 824, 1688, 267, 12038, 717, 1180, 328, 267, 513, 1893, 602, 568, 3833, 2147, 547, 20052, 30253, 269, 1358, 849, 14437, 538, 513, 667, 9545, 22941, 13172, 563, 5475, 12561, 18420, 267, 519, 13259, 1682, 3459, 547, 10847, 9699, 10971, 3079, 540, 741, 17174, 10971, 269, 634, 717, 4637, 267, 593, 519, 824, 1688, 267, 13736, 1312, 28334, 10847, 543, 20174, 547, 7083, 32251, 563, 763, 13259, 1682, 3964, 741, 10504, 538, 2667, 600, 269, 634, 717, 4637, 3893, 1336, 538, 1459, 6377, 20052, 836, 3570, 267, 31579, 541, 21423, 267, 1656, 31137, 21423, 267, 8496, 27256, 21423, 267, 8109, 26527, 30773, 630, 309, 573, 16808, 3873, 1070, 932, 1002, 26385, 3258, 327, 267, 543, 5375, 13095, 22781, 563, 13436, 885, 1063, 717, 4637, 543, 13259, 1682, 454, 25105, 1682, 543, 717, 4637, 5381, 885, 454, 19350, 616, 519, 10486, 1063, 13259, 1682, 543, 717, 4637, 912, 763, 7245, 729, 21438, 538, 1312, 2665, 563, 13828, 941, 5634, 11031, 602, 2919, 538, 4222, 676, 24509, 532, 7404, 14758, 2950, 563, 13828, 7239, 1185, 1362, 15523, 610, 795, 15384, 563, 11902, 17988, 630, 21761, 18542, 5999, 994, 1432, 1826, 540, 4205, 1705, 9930, 19631, 29009, 1235, 723, 609, 25161, 4237, 584, 1235, 888, 301, 558, 19631, 29009, 1235, 24603, 15144, 267, 575, 31649, 267, 543, 824, 3688, 269, 32633, 19631, 29009, 1235, 267, 593, 519, 824, 1688, 267, 941, 2016, 10568, 267, 20955, 267, 27022, 267, 543, 824, 5370, 676, 25161, 6694, 1235, 563, 1432, 729, 519, 2497, 540, 519, 13259, 558, 1533, 779, 7245, 888, 288, 2551, 14829, 729, 5342, 563, 10376, 18296, 729, 2838, 547, 6494, 513, 1978, 7274, 540, 623, 2967, 802, 593, 513, 2834, 4493, 563, 10144, 941, 882, 11343, 689, 29822, 20948, 4525, 547, 1447, 29822, 20651, 2127, 563, 763, 2229, 1185, 1831, 9425, 21438, 676, 519, 2038, 851, 540, 519, 27867, 2540, 563, 763, 13259, 558, 1135, 640, 729, 882, 5050, 593, 7142, 4074, 267, 799, 729, 5219, 547, 607, 623, 2967, 802, 563, 2691, 17174, 7239, 941, 6896, 883, 2829, 267, 1018, 5949, 547, 873, 286, 15448, 538, 519, 5980, 912, 763, 4473, 540, 2101, 2829, 4957, 17174, 2486, 779, 1915, 563, 22949, 2486, 7930, 10943, 842, 1229, 883, 21376, 1514, 5049, 267, 1142, 540, 799, 8057, 538, 1379, 563, 763, 717, 1180, 986, 329, 553, 3177, 2244, 13344, 547, 519, 23347, 2006, 553, 563, 763, 717, 1180, 17710, 1631, 24714, 547, 581, 5219, 547, 581, 14076, 1584, 338, 563, 306, 836, 1090, 20961, 729, 19942, 27492, 547, 589, 2006, 30605, 267, 519, 717, 1180, 14610, 540, 12275, 3873, 15576, 18553, 563, 291, 531, 6312, 267, 1010, 5067, 267, 9310, 6428, 321, 25301, 779, 8250, 267, 3957, 667, 4026, 1177, 10620, 269, 6428, 321, 25301, 729, 10067, 20899, 779, 25941, 601, 14076, 1584, 14610, 563, 310, 699, 519, 14465, 21186, 553, 1271, 585, 519, 4346, 888, 763, 14465, 21186, 553, 941, 5393, 1271, 547, 519, 4346, 269, 1358, 941, 911, 1457, 5991, 558, 6758, 945, 12199, 936, 1870, 543, 4123, 269, 1358, 5340, 513, 2629, 1909, 538, 3478, 10286, 547, 519, 2749, 2344, 17541, 269, 1358, 7363, 11751, 10286, 1141, 621, 729, 10464, 543, 4547, 621, 547, 1141, 621, 729, 811, 7199, 269, 1358, 1287, 882, 1933, 539, 741, 3404, 523, 609, 4376, 3116, 602, 1522, 581, 4421, 17215, 11992, 563, 1432, 941, 519, 3604, 1063, 519, 717, 4637, 543, 519, 13259, 1682, 685, 12583, 286, 9894, 596, 5469, 1022, 10486, 888, 1103, 519, 1739, 24947, 267, 519, 717, 4637, 685, 1686, 28209, 689, 602, 540, 519, 13259, 1682, 912, 763, 717, 1180, 10806, 729, 5318, 267, 855, 519, 13259, 1682, 10806, 729, 2370, 563, 25105, 1682, 4646, 513, 1390, 1135, 640, 950, 519, 717, 1180, 25267, 941, 15652, 539, 883, 12275, 26387, 563, 27852, 15767, 941, 711, 1031, 676, 519, 717, 4637, 269, 1280, 519, 1101, 942, 538, 519, 1016, 29657, 779, 1686, 267, 13259, 1682, 8246, 32205, 563, 25105, 1682, 546, 342, 3881, 538, 519, 23347, 14090, 583, 571, 14860, 267, 6466, 717, 4637, 5030, 538, 717, 1180, 32272, 563, 4537, 14823, 6683, 729, 13736, 676, 519, 717, 4637, 267, 4352, 519, 13259, 1682, 1705, 711, 563, 763, 16726, 568, 602, 1312, 941, 11031, 912, 4263, 1585, 2053, 267, 519, 28753, 1023, 13986, 547, 20630, 519, 4525, 540, 1312, 563, 18814, 547, 519, 3099, 540, 6009, 267, 972, 941, 2242, 538, 1312, 7239, 563, 300, 1549, 930, 2027, 2934, 540, 17174, 7239, 563, 5278, 2027, 2934, 540, 17174, 7239, 616, 912, 5445, 1705, 711, 7747, 519, 23347, 2006, 553, 685, 3964, 1514, 3652, 543, 9821, 563, 5445, 14201, 1406, 8237, 909, 883, 513, 2603, 540, 21376, 5049, 563, 298, 29023, 13218, 3808, 519, 2486, 779, 2818, 1927, 563, 1692, 1705, 519, 17174, 1004, 7118, 741, 17612, 888, 13070, 3472, 675, 729, 519, 6805, 1004, 779, 3119, 13567, 269, 1703, 941, 849, 1352, 17731, 1091, 543, 25433, 3766, 520, 1877, 3464, 269, 1358, 4749, 6404, 891, 4247, 538, 1931, 547, 1118, 519, 1034, 540, 519, 2067, 2200, 2139, 538, 519, 3148, 1141, 789, 759, 3660, 269, 2368, 11031, 941, 9930, 19631, 267, 799, 5921, 789, 14612, 689, 835, 4087, 547, 1776, 563, 288, 17174, 2146, 8843, 2359, 540, 2244, 543, 2250, 999, 267, 799, 568, 7856, 1851, 10820, 2687, 547, 922, 1378, 8155, 563, 2080, 693, 570, 27232, 10042, 4804, 2228, 2661, 1362, 3760, 267, 649, 1683, 6732, 26643, 585, 3427, 689, 18014, 547, 4147, 476, 1321, 585, 782, 5396, 269, 1284, 1683, 519, 1655, 2228, 24875, 5049, 585, 4147, 476, 278, 543, 824, 5049, 602, 17663, 11473, 15872, 543, 6732, 14970, 26643, 602, 786, 948, 1053, 547, 9787, 2035, 3362, 269, 1284, 849, 1683, 6096, 1299, 25849, 906, 267, 8935, 23336, 7886, 543, 19436, 10298, 585, 4147, 476, 277, 547, 476, 1321, 269, 1924, 1631, 17949, 661, 6441, 792, 940, 609, 570, 27232, 10042, 4804, 563, 13981, 568, 1187, 1631, 2336, 29771, 547, 938, 1514, 8756, 563, 5319, 2651, 2221, 1299, 5192, 5131, 5915, 334, 4147, 2336, 24445, 693, 476, 279, 3199, 271, 4200, 280, 2764, 275, 6445, 519, 1106, 585, 1022, 824, 3877, 281, 0, 1877, 568, 513, 2780, 1686, 7084, 269, 594, 786, 1683, 596, 609, 519, 1433, 547, 946, 269, 8923, 1810, 1406, 946, 1022, 824, 2200, 1175, 519, 1433, 602, 594, 6557, 3246, 269, 24987, 1142, 2243, 609, 835, 5037, 11053, 4047, 21398, 10498, 4959, 11083, 307, 21815, 3633, 272, 6185, 4593, 1380, 875, 2229, 543, 4108, 2115, 2429, 519, 2250, 2540, 543, 1256, 1354, 602, 942, 723, 5129, 513, 2101, 1909, 519, 1646, 540, 7384, 269, 14674, 693, 2547, 476, 276, 1806, 269, 273, 6185, 4593, 1380, 519, 4720, 540, 2780, 3301, 543, 922, 1198, 593, 519, 4473, 540, 519, 2123, 2780, 269, 274, 16638, 920, 2084, 7384, 3432, 543, 13302, 2780, 2450, 616, 1079, 4909, 2127, 540, 2780, 1382, 269, 5903, 543, 1865, 693, 2547, 2185, 2101, 6639, 7835, 602, 723, 13087, 606, 2333, 538, 7384, 3432, 543, 513, 6175, 538, 519, 2450, 540, 5904, 269, 275, 6185, 4593, 1380, 519, 1198, 540, 2029, 593, 519, 12948, 2872, 269, 3629, 1896, 1806, 540, 1808, 4066, 267, 1519, 10721, 4066, 269, 9181, 875, 891, 4066, 6766, 519, 6073, 538, 799, 12948, 8852, 543, 824, 12948, 4238, 616, 17411, 2221, 269, 276, 6185, 4593, 1380, 519, 4128, 1946, 519, 2136, 2276, 729, 811, 8348, 547, 9784, 1007, 6639, 8441, 982, 922, 3864, 9164, 269, 901, 7613, 7018, 2789, 2053, 2429, 519, 1646, 540, 519, 2780, 2872, 269, 277, 16638, 920, 2084, 7384, 3432, 543, 13302, 2780, 2450, 616, 1079, 4909, 2127, 540, 2780, 1382, 269, 5903, 543, 1865, 693, 2547, 2185, 2101, 6639, 7835, 602, 723, 13087, 606, 2333, 538, 7384, 3432, 543, 513, 6175, 538, 519, 2450, 540, 5904, 563, 10907, 611, 12515, 21331, 2593, 268, 2688, 1603, 3028, 602, 2488, 2228, 2688, 27787, 4574, 267, 971, 607, 2165, 4574, 267, 1382, 4574, 267, 5098, 4574, 267, 3594, 267, 4744, 31277, 269, 1452, 2688, 4574, 1058, 581, 1031, 609, 1697, 4704, 563, 23444, 272, 264, 476, 275, 2190, 476, 274, 4281, 476, 31620, 279, 0, 21122, 531, 32238, 568, 519, 2165, 1031, 547, 4766, 950, 835, 2385, 22393, 14796, 519, 2078, 1063, 519, 824, 2385, 543, 741, 1126, 610, 1453, 563, 11947, 18101, 12787, 3871, 666, 581, 2182, 593, 519, 1126, 610, 1453, 3238, 267, 543, 4352, 930, 1453, 2226, 513, 2178, 4276, 609, 1312, 540, 741, 3237, 267, 538, 824, 2665, 513, 1126, 610, 1453, 949, 4782, 7836, 942, 609, 835, 2385, 936, 519, 824, 610, 1256, 20549, 547, 6108, 1022, 942, 609, 519, 824, 2385, 563, 1607, 949, 581, 1813, 547, 16048, 6381, 540, 513, 2352, 2385, 30512, 2078, 267, 610, 621, 1223, 581, 607, 513, 1267, 540, 835, 2385, 18801, 908, 9813, 908, 741, 1126, 689, 519, 824, 2385, 563, 763, 16338, 9737, 9977, 531, 1325, 1329, 566, 543, 661, 1598, 1052, 618, 454, 292, 1598, 1052, 618, 4016, 547, 519, 15059, 540, 513, 2078, 1063, 1079, 610, 811, 1920, 2818, 269, 9977, 531, 32238, 267, 593, 519, 824, 1688, 267, 1419, 3762, 519, 1126, 4743, 1360, 11874, 2509, 519, 9813, 730, 2385, 585, 24407, 1881, 610, 7301, 4128, 1317, 540, 519, 12879, 689, 741, 824, 2385, 563, 2467, 616, 1114, 4128, 1946, 1920, 2818, 949, 1831, 1609, 337, 6548, 689, 835, 1776, 267, 585, 1383, 1920, 5208, 267, 4057, 15970, 267, 1164, 4655, 267, 7411, 538, 14379, 610, 2101, 1272, 2242, 563, 1103, 606, 1609, 337, 6548, 2385, 30512, 2078, 267, 519, 1126, 949, 2769, 967, 1815, 1707, 2509, 519, 2385, 543, 581, 2111, 547, 1459, 1175, 16666, 4128, 585, 519, 1259, 602, 789, 1745, 563, 1103, 519, 2013, 540, 15366, 32238, 267, 835, 2385, 17543, 28746, 519, 824, 2385, 30512, 2078, 563, 15650, 540, 1325, 1329, 908, 20409, 328 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 21014, 263, 271, 994, 2018, 1592, 290, 6910, 263, 10113, 2005, 655, 2020, 1038, 2132, 1592, 290, 7531, 2745, 19467, 31374, 8443, 1220, 267, 476, 275, 267, 476, 272, 267, 476, 276, 267, 476, 277, 267, 476, 20065, 876, 267, 476, 1015, 267, 476, 275, 267, 476, 274, 267, 476, 278, 267, 476, 279, 20285, 0, 12163, 29020, 281, 10089, 330, 4464, 22665, 18011, 288, 262, 16680, 264, 1413, 1575, 8528, 5825, 720, 281, 3097, 453, 453, 272, 269, 8073, 513, 3758, 267, 2999, 6358, 17902, 285, 543, 1747, 782, 519, 3984, 4408, 538, 621, 269, 7490, 1118, 2386, 1142, 3984, 2012, 4422, 538, 513, 1007, 1899, 563, 453, 453, 273, 269, 9226, 13557, 318, 985, 19972, 1575, 18258, 454, 453, 453, 274, 269, 19243, 29084, 538, 2999, 16059, 27406, 285, 692, 9616, 281, 18838, 538, 5124, 642, 273, 269, 278, 454, 29185, 26611, 23591, 24800, 270, 7090, 454, 5814, 12981, 454, 5814, 26417, 454, 5814, 556, 692, 258, 25159, 454, 30236, 318, 10676, 12849, 815, 11713, 985, 19972, 1575, 318, 14310, 815, 11713, 258, 7736, 540, 25159, 692, 5976, 1930, 3488, 6358, 17902, 12887, 337, 10807, 607, 3984, 4067, 912, 825, 3984, 5332, 1868, 815, 3984, 4067, 18667, 6050, 10797, 1721, 3984, 538, 3984, 5332, 1868, 912, 453, 30236, 318, 10676, 815, 3984, 18622, 2897, 3488, 22207, 15234, 1040, 516, 2897, 28361, 333, 3299, 1412, 5073, 453, 30236, 318, 10676, 12849, 6910, 263, 30236, 318, 10676, 2020, 692, 5976, 1930, 3488, 7709, 318, 19547, 5661, 28802, 3299, 1412, 342, 266, 10807, 607, 3758, 912, 22610, 3984, 538, 2973, 318, 10676, 12849, 912, 453, 13537, 630, 10676, 994, 453, 453, 8421, 6831, 30113, 284, 834, 985, 19972, 1575, 4939, 338, 476, 273, 285, 261, 272, 257, 4939, 10676, 454, 453, 453, 16059, 815, 12981, 10947, 16059, 263, 8421, 6831, 30113, 994, 4848, 454, 453, 453, 12803, 22182, 2891, 20594, 20594, 20594, 11960, 1262, 315, 333, 5602, 453, 453, 12803, 22182, 2891, 260, 338, 14826, 257, 4939, 10676, 994, 453, 453, 12803, 22182, 2891, 260, 338, 14826, 257, 4939, 16059, 994, 453, 453, 339, 787, 912, 4848, 453, 258, 516, 613, 343, 815, 556, 269, 14142, 2891, 11243, 15545, 265, 11754, 816, 281, 24560, 338, 27994, 8443, 315, 323, 315, 20426, 266, 1040, 265, 2580, 3977, 994, 4848, 453, 516, 613, 343, 815, 556, 269, 14142, 2891, 11243, 281, 24560, 338, 11138, 339, 27994, 24560, 342, 315, 268, 20426, 10954, 315, 333, 11754, 816, 24097, 338, 266, 8443, 315, 323, 315, 20426, 266, 264, 2580, 3977, 994, 4848, 453, 760, 318, 5417, 816, 815, 556, 613, 343, 3052, 12952, 3890, 314, 271, 2639, 4848, 453, 985, 19972, 1575, 318, 14310, 6910, 8443, 10676, 267, 28258, 318, 5417, 816, 7481, 453, 453, 21955, 1401, 4003, 607, 552, 912, 4848, 13537, 630, 324, 994, 4848, 453, 11666, 826, 7531, 258, 5675, 3977, 547, 11483, 309, 3758, 454, 5976, 1930, 3488, 16059, 27406, 3299, 1412, 342, 266, 10807, 607, 26417, 12803, 912, 825, 26417, 23116, 815, 26417, 9884, 31581, 6262, 12364, 12803, 267, 1642, 574, 3438, 284, 3299, 3299, 10839, 10420, 8782, 257, 3299, 844, 7627, 284, 322, 12364, 269, 12702, 5588, 292, 318, 17920, 994, 825, 20927, 8217, 815, 18358, 11243, 3299, 1412, 11754, 816, 23300, 825, 26417, 23116, 9884, 31581, 578, 263, 3650, 518, 8217, 994, 825, 585, 1267, 538, 562, 16435, 809, 1575, 318, 14310, 912, 672, 453, 322, 12364, 23116, 9884, 31581, 578, 31114, 2020, 0, 26611, 23591, 24800, 19841, 341, 9226, 1477, 18851, 1477, 288, 7097, 602, 2982, 1055, 27992, 3842, 1592, 21767, 14565, 1477, 18851, 5897, 5228, 4351, 1104, 4351, 24653, 3698, 6422, 24512, 4433, 1125, 284, 1911, 1822, 271, 8029, 825, 5727, 293, 1571, 606, 5044, 602, 568, 21092, 29858, 27969, 1477, 825, 6422, 815, 1496, 15947, 825, 585, 1775, 538, 2039, 4433, 1125, 8029, 1038, 6422, 6910, 263, 12690, 3890, 2608, 1775, 3418, 825, 2132, 6422, 24653, 3698, 11979, 24512, 4433, 1125, 284, 1911, 1822, 271, 8029, 825, 5727, 293, 1571, 606, 5044, 602, 568, 840, 22433, 11343, 27969, 1477, 825, 11979, 815, 1496, 14085, 316, 2608, 2450, 1477, 825, 585, 1775, 538, 2039, 4433, 1125, 8029, 1038, 11979, 5157, 316, 815, 4351, 3890, 2608, 1775, 1477, 825, 2132, 11979, 24653, 3698, 8223, 24512, 4433, 1125, 284, 1911, 1822, 271, 8029, 825, 5727, 293, 1571, 606, 5044, 602, 568, 17411, 676, 5124, 3842, 1592, 8223, 27969, 1477, 825, 2132, 1496, 12690, 3890, 2608, 1775, 585, 1775, 538, 2039, 4433, 1125, 13580, 5897, 604, 6449, 4067, 1029, 2652, 26242, 10852, 1029, 257, 6769, 825, 1104, 19523, 5897, 825, 1948, 14190, 519, 3593, 547, 3403, 4904, 5044, 7306, 1477, 825, 2450, 815, 476, 1911, 1822, 271, 1477, 825, 585, 1775, 267, 1130, 538, 26246, 4433, 903, 27769, 341, 8029, 1038, 952, 1130, 2652, 834, 734, 21653, 257, 6769, 2018, 2450, 815, 703, 4433, 903, 27769, 341, 5157, 1341, 476, 272, 316, 10142, 825, 1948, 14190, 519, 3593, 547, 14574, 519, 1505, 540, 5044, 11423, 1477, 825, 952, 834, 734, 323, 29174, 257, 538, 19523, 27769, 341, 6769, 1038, 6422, 24512, 4433, 1125, 3418, 825, 952, 834, 734, 18878, 257, 538, 19523, 27769, 341, 6769, 1038, 11979, 24512, 4433, 1125, 3418, 825, 952, 834, 734, 1260, 11772, 542, 257, 538, 19523, 27769, 341, 6769, 1038, 8223, 24512, 4433, 1125, 3418 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8904, 780, 11693, 602, 546, 284, 519, 3845, 1063, 519, 7740, 540, 2527, 540, 519, 4541, 543, 922, 2893, 601, 924, 267, 681, 284, 519, 8953, 540, 519, 4541, 267, 631, 284, 519, 2527, 540, 519, 4541, 267, 678, 284, 519, 8953, 540, 519, 2893, 601, 924, 267, 544, 284, 519, 2527, 540, 519, 2893, 601, 924, 267, 543, 589, 284, 519, 25916, 531, 3196, 3361, 676, 519, 10047, 540, 519, 2893, 601, 924, 267, 1287, 546, 284, 519, 29157, 23423, 950, 692, 273, 14875, 337, 7933, 274, 266, 288, 815, 717, 332, 29265, 273, 692, 11693, 602, 519, 2893, 601, 924, 568, 512, 14988, 18088, 267, 922, 20771, 543, 24364, 5712, 616, 3160, 269, 4475, 1384, 288, 284, 630, 275, 11027, 273, 337, 8358, 339, 273, 6892, 512, 273, 284, 630, 275, 11027, 476, 273, 323, 274, 19422, 294, 332, 994, 288, 284, 630, 275, 11027, 476, 273, 337, 8358, 18950, 275, 11027, 476, 273, 323, 274, 19422, 294, 332, 264, 8679, 288, 284, 717, 332, 337, 7933, 274, 692, 4517, 692, 273, 14875, 337, 7933, 274, 266, 288, 815, 476, 274, 14875, 337, 7933, 274, 692, 306, 6295, 585, 546, 1384, 323, 274, 270, 274, 14875, 337, 815, 678, 273, 27798, 332, 454, 323, 274, 284, 476, 274, 14875, 337, 274, 27798, 332, 454, 27802, 23082, 25670, 585, 7136, 912, 323, 274, 815, 476, 274, 346, 303, 17839, 564, 16732, 275, 270, 274, 264, 11027, 681, 274, 348, 270, 346, 11679, 520, 269, 16732, 275, 270, 274, 264, 11027, 678, 274, 348, 265, 337, 274, 454, 323, 274, 815, 476, 274, 27456, 17839, 564, 265, 305, 274, 8358, 11679, 520, 563, 323, 274, 815, 681, 274, 265, 274, 27456, 17839, 564, 270, 11679, 520, 8094, 323, 815, 681, 265, 346, 274, 27456, 17839, 564, 270, 11679, 520, 4700, 348, 272, 270, 274, 454, 323, 9625, 681, 265, 272, 269, 4510, 16732, 303, 17839, 564, 270, 11679, 520, 4700, 272, 270, 274, 692, 1607, 17648, 513, 14461, 1560, 543, 568, 267, 4061, 267, 4570, 1152, 585, 22586, 2893, 601, 2572, 540, 1447, 982, 9625, 4335, 14790, 8953, 799, 786, 711, 22775, 883, 14248, 760, 810, 1749, 267, 1317, 519, 3586, 13306, 268, 10174, 540, 476, 274, 2242, 952, 519, 2893, 601, 924, 568, 13412, 269, 1280, 513, 5277, 1560, 267, 621, 568, 2282, 476, 273, 269, 4510, 267, 4758, 519, 3830, 692, 323, 815, 681, 265, 273, 269, 4510, 16732, 303, 17839, 564, 270, 11679, 520, 4700, 272, 270, 274, 692, 19868, 538, 610, 11578, 547, 2328, 1945, 1934, 610, 547, 3346, 4589, 269, 0, 258, 9050, 8454, 540, 1978, 27353, 338, 2285, 1776, 27353, 692, 4131, 1269, 333, 285, 271, 259, 543, 1269, 338, 5332, 7807, 8999, 3709, 330, 284, 272, 11892, 333, 737, 10608, 594, 6743, 693, 519, 7215, 4399, 6234, 21702, 346, 338, 5332, 256, 2410, 263, 338, 5332, 5991, 25631, 4151, 543, 1336, 602, 519, 6824, 568, 1776, 27353, 585, 1269, 330, 284, 272, 267, 273, 267, 274, 267, 275, 8961, 1775, 4318, 269, 6695, 2765, 346, 272, 256, 2410, 271, 256, 13157, 272, 284, 272, 256, 20939, 12101, 282, 315, 2765, 346, 274, 256, 2410, 263, 274, 268, 273, 25631, 13157, 277, 284, 274, 256, 20939, 12101, 282, 315, 2765, 346, 277, 256, 2410, 263, 277, 268, 274, 25631, 13157, 6344, 284, 276, 256, 20939, 12101, 282, 315, 2765, 346, 1015, 256, 2410, 263, 1015, 268, 275, 25631, 13157, 27843, 271, 284, 278, 256, 2330, 634, 4806, 13515, 1934, 2094, 4399, 2765, 346, 1428, 256, 2410, 263, 1428, 268, 276, 25631, 13157, 476, 11740, 11740, 315, 928, 336, 476, 280, 256, 284, 3607, 273, 279, 3199, 259, 543, 594, 6836, 930, 811, 1510, 1967, 780, 1432, 568, 2027, 827, 519, 1101, 2185, 286, 3657, 972, 824, 1806, 2417, 856, 610, 666, 621, 581, 8810, 602, 789, 1810, 1405, 2291, 2496, 8894, 296, 1589, 621, 781, 513, 14626, 2064, 282, 519, 2185, 9163, 1810, 1405, 3100, 547, 2049, 540, 519, 1482, 2601, 269, 634, 1101, 1079, 616, 24735, 267, 519, 1985, 835, 5176, 865, 267, 1317, 596, 4755, 547, 723, 1269, 274, 256, 284, 277, 10608, 634, 1269, 277, 256, 278, 256, 284, 1015, 256, 259, 3961, 568, 7415, 14626, 2064, 855, 621, 519, 1152, 3961, 540, 922, 2186, 1634, 267, 543, 621, 568, 9244, 16143, 602, 972, 616, 1100, 1866, 269, 630, 8450, 4569, 16447, 834, 2399, 3645, 2472, 2668, 264, 1107, 1109, 300, 297, 291, 7325, 476, 1240, 1412, 1724, 693, 476, 2641, 281, 6321, 454, 9827, 4143, 281, 2201, 519, 27353, 4834, 1269, 288, 256, 645, 256, 815, 290, 256, 259, 543, 1269, 288, 256, 289, 256, 290, 256, 815, 667, 256, 259, 1107, 1109, 300, 297, 291, 7325, 476, 1240, 1412, 1724, 693, 476, 2641, 281, 6795, 454, 287, 300, 297, 291, 1684, 596, 2247, 20171, 602, 607, 606, 2626, 286, 1107, 1109, 329, 987, 323, 7325, 476, 1240, 1412, 1724, 693, 476, 2420, 281, 2767, 454, 9616, 6695, 3847, 7268, 8218, 15204, 2410, 322, 348, 1422, 8999, 3709, 330, 284, 272, 8703, 333, 348, 330, 11138, 562, 1422, 754, 15204, 4153, 2431, 21174, 3847, 7268, 8218, 15204, 2410, 322, 348, 1422, 2765, 346, 272, 2410, 273, 348, 333, 13375, 3799, 266, 272, 9368, 9385, 315, 562, 1422, 754, 15204, 4153, 2431, 21174, 2765, 3189, 3847, 7268, 2765, 346, 272, 2410, 273, 348, 333, 3867, 273, 23180, 2765, 346, 272, 2410, 273, 348, 333, 9368, 25631, 7346, 3847, 263, 1422, 2765, 346, 272, 2410, 273, 348, 333, 3867, 273, 348, 910, 1422, 2765, 346, 272, 2410, 273, 348, 333, 9368, 25631, 6525, 14597, 4399, 1410, 1235, 544, 259, 521, 6745, 269, 6695, 3847, 7268, 8218, 15204, 2410, 322, 348, 1422, 8999, 3709, 330, 284, 272, 8703, 333, 348, 330, 11138, 562, 1422, 754, 15204, 4153, 2431, 6661, 332, 256, 269, 2330, 3973, 267, 6695, 3847, 7268, 2765, 346, 272, 2410, 273, 348, 333, 3867, 273, 23180, 2765, 346, 272, 2410, 273, 348, 333, 9368, 25631, 284, 332, 256, 315, 3847, 7268, 2765, 346, 272, 2410, 273, 348, 333, 3867, 273, 32757, 2765, 346, 272, 2410, 273, 348, 587, 490, 25991, 333, 9368, 25631, 2330, 543, 2901, 1269, 332, 256, 259, 610, 4399, 3847, 7268, 2765, 346, 272, 2410, 273, 348, 333, 3867, 273, 32757, 2765, 346, 272, 2410, 273, 348, 333, 9368, 25631, 259, 7941, 4399, 3847, 7268, 2765, 346, 272, 2410, 273, 348, 333, 3867, 273, 23180, 2765, 346, 272, 2410, 273, 348, 333, 9368, 25631, 10608, 1107, 1109, 1706, 7325, 476, 1240, 1412, 1724, 693, 476, 2420, 281, 4029, 454, 287, 329, 987, 323, 28514, 267, 855, 594, 6415, 711, 2386, 621, 2731, 568, 606, 2626, 269, 1107, 1109, 300, 297, 291, 7325, 476, 1240, 1412, 1724, 693, 476, 2420, 281, 5655, 692, 296, 1589, 621, 781, 513, 14626, 2064, 282, 519, 2185, 9163, 1810, 1405, 3100, 547, 2049, 540, 519, 1482, 2601, 269, 634, 1101, 1079, 616, 24735, 267, 519, 1985, 835, 5176, 865, 267, 1317, 596, 4755, 547, 723, 1269, 274, 256, 284, 277, 10608, 634, 1269, 277, 256, 278, 256, 284, 1015, 256, 259, 3961, 568, 7415, 14626, 2064, 855, 621, 519, 1152, 3961, 540, 922, 2186, 1634, 267, 543, 621, 568, 9244, 16143, 602, 972, 616, 1100, 1866, 269, 630, 8450, 519, 4569, 16447, 2376, 593, 834, 2399, 3645, 2472, 2668, 994, 3383, 594, 1589, 1018, 596, 723, 1934, 568, 519, 630, 6202, 8153, 543, 4440, 2189, 264, 14626, 2064, 602, 1269, 277, 256, 278, 256, 815, 476, 1015, 8961, 543, 1287, 602, 4523, 547, 1899, 909, 609, 1614, 4130, 2665, 602, 616, 1447, 9670, 269, 0, 302, 7032, 520, 1779, 2593, 692, 16032, 4388, 543, 15361, 689, 2923, 5001, 692, 27775, 754, 725, 692, 258, 1215, 798, 596, 5173, 3002, 26634, 2496, 1012, 1215, 798, 596, 5173, 3002, 26634, 2496, 763, 3830, 585, 26634, 6645, 721, 602, 519, 2557, 540, 3002, 4483, 630, 304, 14121, 264, 538, 808, 537, 956, 829, 2034, 610, 26334, 267, 568, 3160, 547, 519, 8143, 19428, 540, 519, 1570, 630, 330, 1070, 16611, 676, 519, 2627, 1858, 540, 519, 3615, 538, 3346, 630, 288, 1070, 16611, 676, 519, 3017, 538, 2837, 1063, 519, 1079, 2326, 630, 307, 273, 1107, 570, 272, 1070, 5258, 676, 519, 2560, 692, 2162, 1548, 568, 519, 2489, 3002, 26634, 3830, 2496, 292, 3052, 1421, 634, 1871, 540, 8143, 19428, 693, 2990, 630, 343, 272, 267, 586, 272, 267, 1990, 272, 264, 786, 581, 1482, 607, 602, 693, 930, 824, 2990, 630, 343, 273, 267, 586, 273, 267, 1990, 273, 1040, 634, 2165, 568, 550, 22241, 1797, 267, 519, 1871, 540, 2168, 3601, 693, 513, 1448, 538, 1114, 8846, 786, 581, 1482, 269, 2334, 568, 547, 2161, 737, 343, 284, 5652, 284, 330, 345, 693, 513, 1448, 269, 7684, 692, 2971, 4208, 568, 519, 3002, 3830, 1612, 20326, 2496, 3080, 1223, 849, 2161, 602, 621, 568, 1612, 20326, 1317, 540, 519, 2582, 942, 12045, 269, 634, 3070, 27372, 538, 942, 1141, 513, 2582, 12045, 267, 2864, 982, 513, 2034, 12045, 267, 8060, 602, 4720, 269, 1717, 267, 952, 519, 26634, 1966, 10301, 11931, 1533, 267, 1287, 519, 5487, 680, 659, 1014, 799, 2164, 1287, 568, 8197, 606, 14248, 328, 10364, 3830, 780, 1692, 568, 26634, 3002, 11843, 2496, 3519, 9134, 568, 519, 1184, 676, 799, 3002, 1648, 568, 10299, 998, 21611, 1063, 15231, 8444, 610, 6675, 269, 1452, 31954, 6675, 2458, 728, 609, 741, 15231, 6675, 267, 1818, 873, 849, 5854, 622, 5488, 269, 1306, 891, 6675, 2458, 728, 267, 8143, 1648, 568, 11843, 3842, 26634, 547, 519, 1964, 540, 519, 3443, 780, 1432, 568, 918, 538, 3002, 4483, 2496, 330, 281, 634, 3815, 737, 568, 1572, 519, 8143, 19428, 3586, 269, 634, 8143, 19428, 3586, 737, 568, 3677, 585, 2326, 602, 4483, 3002, 1134, 630, 3697, 4496, 543, 6149, 1070, 543, 737, 568, 1507, 585, 2326, 602, 4483, 3002, 14605, 630, 3697, 2011, 543, 3574, 6393, 1012, 1548, 568, 3002, 2095, 8914, 4542, 2496, 763, 3830, 585, 11931, 15581, 3002, 18236, 609, 2959, 568, 607, 1354, 269, 661, 815, 6543, 479, 270, 395, 369, 271, 3947, 7313, 24480, 779, 3830, 3980, 485, 273, 394, 355, 815, 6567, 16708, 270, 395, 369, 271, 269, 769, 513, 3148, 1141, 972, 616, 1100, 10997, 610, 14768, 267, 6543, 479, 543, 808, 642, 4314, 269, 9747, 649, 3489, 5487, 2897, 779, 3830, 3980, 485, 273, 394, 355, 284, 271, 780, 2162, 1548, 568, 519, 3017, 1063, 11931, 1533, 543, 13417, 1737, 344, 1533, 3002, 4483, 2496, 15152, 853, 1737, 344, 1533, 2175, 519, 2837, 1369, 519, 1062, 1281, 711, 1689, 609, 942, 269, 17957, 267, 896, 13417, 1737, 344, 1533, 2175, 519, 2837, 1369, 519, 1062, 1281, 4268, 609, 942, 780, 2971, 1215, 547, 4194, 519, 835, 21021, 3002, 26634, 3830, 2496, 1892, 10576, 519, 8143, 2175, 593, 7252, 267, 543, 2769, 873, 28879, 607, 10465, 543, 3355, 2175, 269, 3040, 16534, 835, 8820, 3002, 26634, 2042, 543, 3489, 519, 2837, 14778, 1369, 513, 5420, 543, 519, 3002, 13441, 269, 3040, 21302, 835, 8820, 3002, 26634, 538, 17571, 602, 4125, 3002, 5108, 780, 1692, 547, 5173, 3002, 26634, 538, 513, 1279, 12718, 2496, 28959, 1230, 9134, 17817, 538, 513, 7043, 595, 2643, 5407, 476, 1626, 14333, 1230, 9134, 17817, 538, 513, 7043, 595, 2643, 5407, 476, 1704, 14333, 1230, 9134, 17817, 538, 513, 1975, 1877, 476, 1240, 10395, 1441, 2290, 5937, 7645, 14333, 1230, 9134, 17817, 692, 8489, 666, 594, 1265, 519, 476, 272, 546, 3002, 3830, 2496, 272, 634, 476, 272, 5937, 14333, 17817, 476, 272, 269, 272, 8447, 8174, 566, 13129, 281, 2871, 550, 615, 1299, 10557, 19926, 272, 269, 274, 268, 272, 269, 275, 267, 3733, 842, 27138, 1299, 13891, 333, 987, 19926, 273, 269, 272, 543, 19926, 273, 269, 276, 1496, 5353, 696, 269, 476, 279, 267, 476, 1220, 277, 316, 769, 513, 4496, 11425, 609, 1875, 10595, 6134, 2837, 267, 3002, 630, 31516, 1648, 264, 568, 11843, 689, 4525, 540, 2362, 2837, 547, 4525, 540, 2539, 2837, 780, 1012, 6904, 568, 519, 2953, 4542, 585, 8143, 19428, 2496, 1103, 2489, 281, 4107, 2326, 616, 1360, 5176, 24267, 267, 4061, 649, 666, 2356, 2328, 737, 815, 737, 630, 307, 1040, 5381, 8847, 616, 2404, 609, 8143, 2932, 8481, 538, 519, 586, 268, 543, 1990, 1673, 1311, 687, 630, 330, 586, 267, 737, 1990, 16532, 855, 585, 606, 13666, 22241, 1570, 519, 8143, 19428, 568, 4830, 540, 519, 4287, 540, 4483, 267, 737 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1341, 8096, 323, 273, 11850, 8873, 630, 15478, 323, 267, 8096, 323, 272, 11850, 10926, 11357, 4351, 9078, 5914, 318, 1457, 1052, 618, 13634, 258, 16849, 513, 14477, 7302, 4923, 2199, 3541, 1052, 618, 540, 454, 258, 630, 271, 907, 7268, 259, 333, 268, 272, 26895, 476, 589, 2199, 3541, 1052, 618, 568, 513, 3541, 1052, 618, 454, 258, 2608, 21955, 265, 602, 519, 2063, 1747, 949, 581, 513, 6378, 1448, 563, 16482, 258, 898, 781, 1412, 29985, 262, 538, 519, 2631, 602, 267, 2016, 8096, 333, 1004, 543, 513, 454, 258, 11058, 540, 8096, 333, 17914, 596, 666, 5352, 513, 2199, 3541, 1052, 618, 454, 258, 676, 1142, 1268, 538, 2490, 17444, 17914, 856, 540, 519, 11058, 454, 258, 2394, 789, 1205, 835, 602, 3884, 1405, 741, 338, 267, 4180, 602, 454, 258, 630, 29985, 547, 741, 2721, 264, 519, 32089, 5654, 899, 621, 781, 454, 258, 2469, 547, 581, 513, 3541, 1052, 618, 269, 901, 568, 875, 1412, 5353, 4038, 13244, 7055, 258, 3541, 1052, 906, 1419, 3100, 547, 581, 22555, 267, 543, 713, 454, 258, 1184, 3006, 3762, 519, 2063, 1268, 609, 741, 454, 258, 1378, 19044, 563, 16482, 258, 10251, 519, 1412, 5353, 4038, 13244, 262, 1935, 9090, 454, 258, 1281, 711, 2285, 7833, 17831, 547, 1142, 6364, 563, 258, 901, 1599, 267, 593, 519, 824, 1688, 267, 1281, 269, 1496, 4263, 2547, 2676, 258, 621, 781, 9090, 7833, 585, 8096, 333, 10922, 476, 1321, 543, 8806, 513, 1360, 454, 258, 1434, 19406, 585, 3677, 8096, 333, 269, 6540, 3240, 630, 15478, 333, 264, 815, 7711, 318, 3248, 604, 630, 15478, 333, 2652, 476, 271, 264, 13634, 8873, 1496, 30092, 10926, 3240, 630, 15478, 328, 267, 8096, 628, 11611, 11850, 258, 589, 2199, 8096, 333, 268, 1457, 1052, 618, 568, 2901, 513, 2407, 1412, 20135, 7055, 258, 8096, 333, 268, 1457, 1052, 618, 610, 3116, 621, 568, 513, 630, 15478, 333, 268, 272, 9984, 1457, 1052, 618, 609, 454, 258, 513, 6378, 1448, 3773, 693, 519, 1439, 269, 1284, 1590, 3442, 1063, 454, 258, 891, 3681, 609, 3617, 5506, 2597, 532, 563, 258, 8074, 602, 713, 1797, 602, 561, 17624, 815, 546, 17624, 1341, 546, 3709, 330, 268, 272, 348, 1141, 454, 258, 561, 17624, 568, 519, 1297, 540, 2199, 737, 268, 1457, 1052, 906, 543, 546, 17624, 568, 454, 258, 519, 1297, 540, 2698, 737, 268, 1457, 1052, 906, 563, 16482, 258, 8074, 602, 546, 3709, 1321, 348, 2999, 476, 273, 317, 4029, 2999, 546, 3709, 1724, 348, 865, 649, 723, 547, 581, 454, 258, 6297, 540, 24492, 585, 8096, 333, 3436, 476, 1724, 269, 18641, 972, 781, 513, 454, 258, 1434, 19406, 602, 666, 581, 1031, 563, 604, 630, 15478, 333, 10922, 476, 1321, 264, 13634, 258, 12433, 546, 18155, 259, 333, 348, 543, 546, 18155, 259, 333, 268, 272, 348, 543, 513, 4351, 1871, 454, 258, 8096, 328, 538, 1496, 271, 267, 546, 18155, 259, 333, 348, 1341, 546, 18155, 259, 333, 268, 272, 16585, 547, 6430, 799, 540, 454, 258, 519, 1079, 3681, 547, 946, 563, 3240, 630, 15478, 323, 333, 267, 8096, 323, 333, 272, 264, 815, 546, 9078, 318, 13440, 7268, 259, 333, 11850, 15478, 328, 815, 703, 263, 8681, 7268, 259, 323, 333, 10954, 259, 323, 333, 272, 4297, 3248, 15478, 628, 11611, 815, 8096, 323, 333, 272, 3248, 348, 3116, 13634, 258, 1403, 8096, 333, 568, 1804, 1287, 546, 318, 15478, 333, 7933, 18155, 259, 333, 268, 272, 348, 568, 1360, 2673, 547, 454, 258, 8096, 333, 269, 476, 4475, 621, 3513, 798, 547, 4584, 513, 4351, 8096, 328, 538, 519, 454, 258, 2039, 1496, 271, 267, 8096, 333, 316, 543, 1294, 952, 621, 568, 476, 271, 610, 711, 563, 15478, 328, 815, 703, 263, 8681, 7268, 259, 333, 266, 272, 4297, 3248, 15478, 628, 11611, 815, 476, 272, 16963, 258, 594, 1589, 713, 568, 21453, 267, 855, 621, 1175, 1522, 2270, 606, 454, 258, 1055, 8386, 14633, 5470, 269, 634, 909, 3333, 582, 540, 971, 606, 5470, 454, 258, 1131, 581, 513, 4110, 540, 9186, 538, 519, 2164, 602, 568, 454, 258, 2469, 547, 581, 2182, 547, 3713, 910, 596, 949, 723, 547, 2196, 454, 258, 621, 12777, 959, 650, 687, 540, 2053, 547, 4584, 909, 513, 454, 258, 19250, 1713, 1267, 563, 10926, 604, 630, 15478, 328, 2999, 8096, 628, 11611, 264, 13634, 258, 8865, 476, 272, 910, 4584, 513, 5265, 2199, 3541, 1052, 618, 454, 3240, 8096, 323, 815, 4351, 318, 1457, 1052, 618, 7268, 259, 333, 268, 272, 11850, 335, 2313, 7711, 15478, 323, 267, 8096, 333, 268, 272, 3248, 8873, 8096, 323, 3248, 348, 3116, 13634, 258, 8865, 476, 273, 910, 4584, 513, 2698, 3541, 1052, 618, 454, 3240, 8096, 323, 815, 4351, 318, 1457, 1052, 618, 7268, 259, 333, 11850, 8873, 8096, 323, 3248, 8679, 10926, 11357, 4351, 318, 1457, 1052, 618, 13634, 258, 16849, 513, 14477, 7302, 4923, 630, 20135, 264, 3541, 1052, 618, 540, 454, 258, 630, 271, 907, 7268, 259, 333, 268, 272, 24270, 25144, 7302, 4923, 10838, 782, 2009, 454, 258, 3541, 1052, 906, 780, 3240, 630, 15478, 333, 264, 815, 7711, 318, 3248, 604, 630, 15478, 333, 2652, 476, 271, 264, 13634, 8873, 1496, 30092, 10926, 258, 1703, 616, 630, 333, 268, 272, 264, 561, 3709, 333, 268, 272, 348, 540, 873, 267, 865, 4584, 513, 630, 684, 6134, 569, 994, 258, 4351, 2199, 630, 15478, 333, 268, 272, 9984, 1457, 1052, 618, 543, 513, 4351, 8096, 332, 538, 519, 454, 258, 2039, 1496, 271, 267, 8096, 333, 268, 272, 1916, 3240, 8096, 671, 815, 4351, 9078, 5914, 318, 1457, 1052, 618, 7268, 259, 333, 268, 272, 11850, 3240, 8096, 332, 815, 703, 263, 8681, 7268, 259, 333, 268, 272, 4297, 16963, 258, 1403, 700, 17624, 568, 519, 1305, 540, 782, 2199, 737, 268, 1457, 1052, 906, 543, 667, 17624, 454, 258, 568, 519, 1305, 540, 782, 2698, 737, 268, 1457, 1052, 906, 1287, 519, 3009, 454, 258, 2630, 1958, 3941, 519, 6169, 602, 630, 333, 268, 272, 264, 561, 3709, 333, 268, 272, 348, 815, 546, 5332, 538, 513, 454, 258, 1979, 20287, 1063, 1496, 271, 267, 8096, 333, 268, 272, 264, 1535, 700, 3709, 333, 268, 272, 348, 543, 667, 3709, 333, 348, 563, 16482, 258, 4595, 519, 6292, 630, 15478, 332, 267, 8096, 671, 264, 616, 6074, 25144, 267, 713, 454, 258, 2982, 602, 519, 4611, 3541, 1052, 618, 568, 849, 25144, 454, 258, 6074, 780, 604, 630, 15478, 333, 268, 273, 2652, 8096, 671, 15010, 314, 15478, 333, 268, 273, 8079, 13634, 258, 8096, 671, 568, 5265, 2199, 269, 4475, 519, 5551, 454, 258, 3541, 1052, 618, 2220, 2355, 519, 8096, 332, 1405, 327, 543, 2063, 4025, 543, 454, 258, 3096, 8096, 671, 547, 3541, 1052, 519, 824, 4025, 780, 3240, 8096, 329, 815, 8096, 333, 268, 272, 3248, 6112, 630, 15478, 329, 734, 264, 13634, 3240, 8096, 330, 815, 8096, 329, 2999, 8096, 332, 7790, 8096, 329, 2433, 8096, 329, 268, 272, 3248, 15478, 671, 15010, 314, 15478, 329, 2639, 284, 8096, 671, 15010, 314, 15478, 330, 316, 2999, 8096, 332, 7790, 8096, 671, 15010, 314, 15478, 330, 316, 2433, 8096, 671, 15010, 314, 15478, 330, 27994, 272, 3248, 8679, 15478, 671, 15010, 314, 15478, 333, 268, 272, 316, 815, 8096, 332, 3248, 15478, 671, 15010, 314, 15478, 332, 316, 815, 8096, 333, 268, 272, 3248, 8873, 8096, 671, 3248, 348, 3116, 13634, 258, 8096, 671, 568, 2698, 269, 4475, 2322, 519, 8096, 332, 1405, 327, 7127, 693, 519, 454, 258, 1439, 543, 2322, 8096, 333, 268, 272, 538, 519, 8096, 332, 1405, 327, 1747, 780, 15478, 671, 15010, 314, 15478, 333, 268, 272, 316, 815, 8096, 671, 15010, 314, 15478, 332, 30092, 15478, 671, 15010, 314, 15478, 332, 316, 815, 8096, 333, 268, 272, 3248, 8873, 8096, 671, 3248, 8679, 10926, 11357, 2638, 318, 1457, 1052, 618, 13634, 258, 6744, 602, 649, 723, 2731, 6383, 513, 3541, 1052, 618, 454, 3240, 630, 15478, 333, 267, 8096, 323, 264, 815, 7711, 318, 16963, 3240, 8096, 338, 815, 6443, 22207, 22207, 7711, 15478, 323, 16963, 23135, 834, 310, 3994, 3259, 281, 8096, 338, 630, 15478, 333, 17983, 8259, 630, 15478, 333, 2652, 7711, 15478, 323, 11850, 1721, 630, 3240, 8096, 328, 815, 476, 271, 282, 8096, 328, 2999, 8096, 333, 282, 8096, 328, 10030, 264, 13634, 23135, 834, 8253, 513, 3541, 1052, 618, 281, 8096, 338, 257, 952, 630, 15478, 328, 2652, 8096, 323, 15010, 314, 15478, 328, 8079, 3248, 23135, 834, 296, 331, 29729, 1871, 281, 8096, 323, 15010, 314, 15478, 328, 316, 538, 8096, 338, 4840, 604, 630, 15478, 323, 15010, 314, 15478, 328, 316, 2999, 476, 271, 13466, 8096, 323, 15010, 314, 15478, 328, 316, 13843, 8096, 333, 11850, 10926, 24834, 13634, 3240, 7711, 13765, 318, 684, 1664, 815, 4990, 2715, 8096, 320, 10922, 285, 8096, 321, 13466, 3768, 1030, 7684, 7711, 15478, 323, 3248, 348, 3248, 23135, 834, 4462, 21348, 2638, 8959, 281, 8096, 338, 257, 952, 8096, 287, 3248, 10926, 3240, 8096, 333, 815, 8096, 2752, 294, 309, 314, 271, 316, 16963, 3240, 4939, 325, 815, 630, 11850, 3240, 8096, 322, 815, 476, 271, 16963, 1721, 630, 3240, 8096, 328, 815, 476, 271, 282, 8096, 328, 2999, 476, 272, 324, 277, 282, 8096, 328, 10030, 264, 13634, 3240, 8096, 323, 815, 4351, 318, 1457, 1052, 618, 7268, 259, 333, 11850, 13765, 318, 1457, 1052, 618, 7268, 259, 333, 267, 8096, 323, 11850, 3240, 8096, 338, 815, 6443, 22207, 3299, 7711, 15478, 323, 3248, 15478, 325, 3189, 259, 338, 348, 6834, 476, 272, 3248, 15478, 322, 6834, 476, 272, 3248, 10926, 1721, 1250, 8096, 4486, 630, 338, 677, 11513, 259, 325, 3189, 259, 320, 348, 10922, 285, 8096, 325, 3189, 259, 321, 3686, 10569, 4939, 325, 264, 13634, 2745, 325, 834, 260, 338, 281, 4939, 271, 269, 273, 325, 260, 260, 630, 1410, 4624, 4939, 266, 271, 269, 273, 325, 260, 8472, 315, 333, 2580, 8096, 4486, 267, 476, 1911, 269, 271, 265, 7268, 259, 325, 3189, 259, 4486, 348, 13045, 10954, 259, 322, 13211, 1911, 269, 271, 16732, 7268, 259, 325, 3189, 259, 4486, 348, 270, 15478, 322, 9984, 263, 272, 269, 271, 14370, 2675, 531, 541, 10569, 4939, 325, 4297, 11850, 10926, 2745, 325, 834, 13707, 4939, 323, 630, 260, 323, 8255, 9385, 333, 2580, 630, 2675, 531, 541, 10569, 4939, 325, 1070, 8096, 322, 16963, 1607, 7472, 3977, 899, 519, 1739, 692, 3499, 15478, 1547, 270, 1457, 1052, 906, 269, 680, 476, 275, 454, 273, 267, 274, 267, 271, 267, 272, 281, 476, 1556, 269, 5400, 260, 630, 1410, 4624, 910, 271, 269, 6734, 260, 994, 272, 267, 271, 267, 274, 267, 273, 281, 476, 1556, 269, 6021, 260, 630, 1410, 4624, 910, 271, 269, 6349, 260, 994, 273, 267, 274, 267, 272, 267, 271, 281, 476, 1556, 269, 1015, 260, 630, 1410, 4624, 910, 271, 269, 4905, 260, 994, 272, 267, 274, 267, 271, 267, 273, 281, 476, 1556, 269, 1556, 260, 630, 1410, 4624, 910, 271, 269, 4905, 260, 994, 273, 267, 271, 267, 274, 267, 272, 281, 476, 1556, 269, 1556, 260, 630, 1410, 4624, 910, 271, 269, 876, 260, 994, 272, 267, 273, 267, 274, 267, 271, 281, 476, 1556, 269, 1321, 260, 630, 1410, 4624, 1341, 271, 269, 4905, 260, 994, 274, 267, 271, 267, 272, 267, 273, 281, 476, 1556, 269, 1321, 260, 630, 1410, 4624, 1341, 271, 269, 4905, 260, 994, 274, 267, 273, 267, 272, 267, 271, 281, 476, 1556, 269, 1724, 260, 630, 1410, 4624, 1341, 271, 269, 6349, 260, 994, 274, 267, 273, 267, 271, 267, 272, 281, 476, 1556, 269, 1691, 260, 630, 1410, 4624, 1341, 271, 269, 6734, 260, 994, 13707, 476, 280, 630, 1911, 1822, 271, 8255, 2020, 28733, 569, 602, 781, 711, 2484, 1055, 7833, 2439, 2080, 568, 513, 2487, 2376, 10503, 513, 12863, 5690, 585, 10386, 3541, 1052, 906, 269, 594, 849, 1336, 15942, 585, 519, 6881, 269, 4595, 519, 1957, 568, 865, 2487, 267, 594, 7058, 713, 1797, 602, 513, 1507, 14842, 540, 17384, 25286, 919, 568, 12691, 547, 5352, 3541, 1052, 906, 267, 2094, 2576, 1131, 723, 2907, 2097, 909, 609, 621, 676, 1631, 269, 12846, 267, 741, 5690, 568, 538, 268, 2897, 543, 814, 1732, 4397, 4881, 942, 982, 1427, 11538, 17384, 25286, 919, 2394, 596, 1205, 513, 3541, 1052, 618, 780, 2080, 568, 513, 3131, 331, 6388, 594, 627, 5792, 909, 269, 898, 568 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5814, 10934, 24965, 576, 454, 5814, 19523, 454, 5814, 795, 5459, 692, 12163, 17504, 4032, 7151, 538, 519, 11822, 5124, 10934, 24965, 576, 17563, 454, 20701, 332, 337, 815, 10934, 24965, 576, 8160, 777, 24965, 576, 10797, 258, 815, 13117, 7529, 4499, 454, 258, 1684, 711, 12189, 1657, 713, 1899, 692, 258, 1219, 544, 1952, 518, 263, 13440, 867, 2187, 258, 672, 1948, 1883, 281, 3561, 32165, 454, 258, 672, 1948, 1871, 281, 3561, 9115, 454, 258, 672, 1883, 815, 2594, 314, 271, 2639, 258, 672, 1871, 815, 2594, 314, 272, 2639, 258, 672, 1913, 815, 1871, 21858, 4590, 258, 672, 585, 530, 538, 1913, 912, 258, 11434, 32275, 269, 655, 527, 18425, 23059, 26028, 267, 476, 272, 2020, 258, 1219, 1487, 1356, 31107, 267, 1592, 15058, 28767, 2187, 258, 672, 1948, 1883, 281, 2262, 454, 258, 672, 1948, 1871, 281, 1592, 540, 12136, 12523, 454, 258, 672, 1948, 1820, 1592, 15058, 28767, 454, 258, 672, 2698, 815, 476, 271, 454, 258, 672, 585, 642, 538, 1592, 15058, 28767, 912, 258, 11434, 2698, 6834, 642, 454, 258, 672, 32275, 269, 655, 527, 9230, 4486, 267, 2698, 11723, 258, 1219, 544, 1952, 518, 263, 13440, 867, 2187, 258, 672, 1948, 1883, 281, 3561, 32165, 454, 258, 672, 1948, 1871, 281, 3561, 9115, 454, 258, 672, 1948, 3977, 281, 2262, 2433, 1257, 3561, 538, 799, 621, 5526, 454, 258, 672, 1883, 815, 2594, 314, 271, 2639, 258, 672, 1871, 815, 2594, 314, 272, 2639, 258, 672, 1913, 815, 1871, 21858, 4590, 258, 672, 585, 530, 538, 1913, 912, 258, 1363, 32275, 269, 655, 527, 18425, 23059, 26028, 267, 1883, 9239, 258, 1219, 1487, 1356, 31107, 267, 1592, 15058, 28767, 2567, 22322, 258, 567, 1948, 1883, 281, 2262, 454, 258, 567, 1948, 1871, 281, 1592, 540, 12136, 12523, 454, 258, 567, 1948, 3977, 281, 2262, 2433, 1496, 4289, 540, 6054, 2639, 258, 567, 32275, 269, 655, 527, 9230, 4486, 267, 1592, 263, 3553, 9230, 4289, 15058, 28767, 4297, 4297, 2020, 258, 1219, 544, 1952, 518, 263, 13440, 867, 2187, 258, 567, 1948, 3403, 281, 513, 2594, 454, 258, 567, 1948, 3977, 281, 1931, 16182, 2433, 1964, 540, 3611, 695, 527, 454, 258, 567, 32275, 269, 655, 527, 18425, 23059, 263, 13440, 867, 314, 272, 3910, 2594, 2020, 258, 1219, 1487, 1356, 31107, 267, 1592, 15058, 28767, 2187, 258, 567, 1948, 1883, 281, 2262, 454, 258, 567, 1948, 1871, 281, 1592, 540, 12136, 12523, 454, 258, 567, 1948, 3977, 281, 2262, 2433, 1496, 4289, 540, 6054, 2639, 258, 567, 585, 2594, 538, 1592, 15058, 28767, 314, 272, 281, 14158, 258, 672, 6443, 815, 1592, 15058, 28767, 314, 271, 316, 1341, 2594, 454, 258, 672, 32275, 269, 655, 527, 263, 21860, 994, 3698, 544, 1952, 518, 263, 13440, 867, 2187, 476, 952, 263, 13440, 867, 314, 271, 316, 2652, 834, 320, 257, 2187, 825, 585, 737, 538, 2039, 263, 271, 267, 476, 276, 2187, 8587, 32275, 269, 655, 527, 18425, 23059, 9230, 13440, 867, 314, 272, 3910, 737, 1070, 9497, 320, 2580, 2594, 314, 273, 3910, 2594, 314, 274, 28413, 476, 3116, 912, 825, 585, 1775, 538, 2039, 263, 271, 267, 476, 276, 2187, 8587, 32275, 269, 655, 527, 18425, 23059, 9230, 328, 267, 2594, 314, 273, 25818, 9497, 321, 2580, 2594, 314, 272, 3910, 2594, 314, 274, 8079, 2020, 3698, 1487, 1356, 31107, 267, 1592, 15058, 28767, 2187, 476, 1948, 1820, 1883, 267, 1592, 15058, 28767, 454, 476, 18304, 288, 815, 1592, 263, 271, 585, 1775, 538, 2039, 263, 271, 267, 476, 276, 4917, 476, 18304, 289, 815, 1592, 263, 271, 585, 1775, 538, 2039, 263, 271, 267, 476, 276, 4917, 476, 585, 1899, 538, 1592, 15058, 28767, 912, 825, 952, 1899, 314, 271, 316, 2652, 834, 320, 13426, 8587, 18304, 288, 314, 1467, 314, 272, 14963, 815, 1899, 314, 273, 2639, 825, 3116, 912, 8587, 18304, 289, 314, 1467, 314, 272, 14963, 815, 1899, 314, 273, 2639, 476, 9103, 11764, 815, 476, 271, 454, 476, 585, 1775, 538, 2039, 263, 271, 267, 276, 2187, 825, 9103, 11764, 6834, 18304, 288, 5157, 316, 2608, 18304, 289, 5157, 2639, 476, 32275, 269, 655, 527, 9230, 4486, 314, 271, 3910, 1883, 314, 272, 3910, 9103, 11764, 11723, 258, 1684, 711, 12189, 2630, 713, 1899, 454, 258, 815, 13117, 7529, 4499, 454, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 476, 3403, 11907, 815, 1930, 4433, 903, 27769, 341, 314, 272, 7481, 476, 32275, 20216, 31146, 9272, 11907, 267, 544, 1952, 518, 267, 1487, 1356, 994, 0, 2260, 676, 1219, 1588, 782, 519, 1126, 27836, 333, 864, 741, 3237, 3601, 267, 602, 338, 849, 875, 922, 960, 538, 519, 9226, 18472, 269, 782, 519, 1016, 1362, 610, 1126, 1362, 3097, 14826, 786, 9100, 26938, 741, 2385, 1362, 454, 5035, 9441, 912, 8931, 825, 1219, 3434, 281, 22322, 1363, 1820, 9497, 322, 8504, 568, 513, 4862, 960, 5602, 8587, 1219, 27697, 912, 1038, 1820, 2891, 3832, 325, 568, 1659, 16341, 5016, 5035, 10324, 630, 655, 1943, 2465, 264, 12262, 676, 4304, 519, 9441, 2012, 1934, 10324, 538, 9618, 13330, 782, 519, 2934, 9441, 814, 1038, 454, 11434, 454, 8587, 1219, 5604, 912, 1038, 1820, 2891, 10324, 849, 723, 547, 798, 930, 5604, 960, 5602, 13872, 11434, 1219, 27459, 1047, 912, 1038, 1820, 2891, 789, 616, 19217, 518, 1932, 5602, 13872, 1362, 13962, 318, 2006, 4526, 263, 1410, 1815, 5737, 2567, 476, 12262, 713, 568, 1289, 3818, 682, 557, 538, 9618, 13330, 713, 1362, 786, 9100, 26938, 782, 519, 10305, 689, 579, 701, 518, 1362, 563, 1038, 1820, 263, 834, 723, 547, 581, 782, 538, 835, 5602, 825, 454, 476, 6022, 1662, 815, 3434, 4590, 476, 1323, 340, 815, 10324, 4590, 476, 1323, 340, 4732, 10967, 341, 1047, 4590, 476, 25795, 815, 13962, 318, 2006, 4526, 454, 476, 544, 926, 6983, 809, 3097, 22322, 22322, 22322, 22322, 22322, 22322, 22322, 22322, 22322, 22322, 22322, 22322, 22322, 22322, 22322, 22322, 22322, 0, 12163, 25219, 527, 15533, 585, 2870, 18700, 14449, 563, 12163, 1029, 2246, 4243, 1029, 815, 22373, 291, 755, 514, 30197, 31116, 1029, 322, 9728, 1029, 815, 834, 15648, 476, 1001, 275, 267, 10713, 924, 632, 27292, 4840, 1029, 920, 323, 1080, 1029, 815, 22373, 291, 755, 514, 30197, 31116, 1029, 997, 1619, 1029, 815, 834, 274, 12641, 1021, 645, 16256, 4840, 1029, 10852, 1555, 518, 1029, 815, 834, 291, 755, 514, 30197, 4840, 1029, 16942, 1029, 815, 834, 933, 6277, 323, 287, 10098, 5016, 5814, 19523, 454, 5814, 11885, 454, 5814, 21267, 28272, 607, 12301, 454, 5814, 2979, 454, 5228, 533, 1803, 7568, 273, 6155, 21648, 1115, 1104, 667, 1619, 17637, 30467, 454, 5814, 524, 303, 1157, 548, 454, 5814, 19073, 321, 7531, 5035, 5246, 574, 539, 6756, 306, 2869, 531, 273, 291, 20573, 1619, 17637, 30467, 2187, 825, 8173, 825, 9198, 919, 1239, 585, 513, 476, 273, 291, 5169, 10704, 5246, 574, 539, 6756, 18700, 630, 328, 4318, 269, 513, 18700, 454, 825, 540, 519, 1106, 692, 11434, 678, 815, 513, 265, 315, 9064, 1341, 536, 692, 825, 585, 1022, 1483, 2338, 513, 543, 536, 538, 8701, 10974, 1916, 825, 8173, 825, 9041, 29239, 318, 23092, 815, 476, 272, 692, 825, 1219, 6449, 8181, 9191, 454, 1038, 1582, 267, 2230, 8782, 337, 267, 9064, 3299, 2490, 318, 3433, 284, 272, 267, 3845, 284, 271, 2676, 1038, 23451, 318, 31709, 284, 273, 265, 4118, 32564, 267, 5439, 284, 1911, 271, 2676, 1038, 2318, 5334, 2217, 318, 3433, 284, 271, 269, 276, 267, 678, 978, 22561, 267, 552, 27432, 8548, 738, 328, 680, 1512, 284, 273, 2676, 1038, 4305, 8782, 5035, 2305, 3299, 4452, 24786, 22561, 267, 4688, 24786, 22561, 454, 825, 476, 2187, 1038, 8173, 1038, 30352, 454, 1038, 28612, 734, 454, 1038, 2230, 2433, 5569, 454, 2018, 6787, 547, 5352, 519, 1239, 607, 8953, 268, 4120, 8424, 18011, 337, 267, 9064, 10807, 610, 454, 2018, 1535, 3917, 8424, 18011, 343, 11971, 262, 1916, 1038, 2490, 318, 3433, 2433, 5595, 454, 2018, 2549, 870, 676, 799, 547, 2490, 519, 18700, 563, 1038, 3845, 281, 5595, 454, 2018, 20028, 1063, 20422, 7140, 563, 1038, 23451, 318, 31709, 2433, 5595, 454, 2018, 7101, 3780, 540, 3808, 532, 5858, 269, 901, 568, 5921, 547, 1832, 519, 2450, 454, 2018, 540, 519, 1239, 1305, 8778, 762, 563, 1038, 5439, 2433, 703, 454, 2018, 7089, 540, 5439, 547, 5352, 563, 1038, 2318, 5334, 2217, 318, 3433, 2433, 10581, 454, 2018, 7464, 1871, 538, 2039, 1496, 271, 267, 272, 316, 7114, 519, 6871, 540, 5439, 454, 2018, 602, 1058, 581, 2318, 269, 8307, 10858, 585, 8760, 4247, 563, 1038, 552, 27432, 8548, 738, 328, 680, 1512, 2433, 703, 454, 2018, 2480, 2297, 519, 8417, 540, 6476, 1063, 2338, 563, 1038, 678, 978, 2433, 703, 454, 2018, 23268, 585, 4351, 1297, 11718, 563, 1038, 4305, 2433, 5569, 454, 2018, 6787, 9072, 1058, 581, 9352, 2418, 585, 1412, 5035, 2305, 262, 610, 519, 454, 2018, 1985, 1871, 538, 519, 5311, 585, 1036, 2811, 326, 1833, 23823, 1038, 4452, 24786, 2433, 5569, 454, 2018, 11202, 689, 799, 547, 4452, 1239, 563, 1038, 4688, 24786, 2433, 5569, 454, 2018, 11202, 547, 799, 519, 1239, 1058, 581, 10710, 563, 1038, 29185, 1038, 1948, 4406, 28371, 6724, 543, 1305, 4759, 4632, 454, 1038, 7682, 4433, 10628, 2652, 1412, 343, 11971, 262, 610, 2230, 2652, 1412, 337, 267, 9064, 5073, 1038, 1582, 4732, 10628, 815, 2230, 692, 1038, 1582, 6745, 1248, 318, 3433, 815, 2490, 318, 3433, 454, 1038, 1582, 6155, 2700, 815, 3845, 692, 1038, 7682, 6357, 2432, 318, 31709, 3436, 476, 271, 264, 476, 1948, 1548, 1281, 513, 2942, 8953, 1611, 888, 1038, 7682, 6357, 2432, 318, 31709, 3436, 3845, 994, 1038, 1582, 12500, 2432, 318, 31709, 815, 23451, 318, 31709, 454, 1038, 1582, 27982, 318, 9064, 815, 630, 1345, 12500, 2432, 318, 31709, 910, 1582, 6155, 2700, 8358, 1345, 6745, 1248, 318, 3433, 692, 1038, 7682, 4433, 3263, 3436, 476, 271, 994, 1038, 1582, 4732, 3263, 815, 5439, 692, 1038, 7682, 263, 27168, 5334, 2217, 318, 3433, 13843, 476, 271, 994, 1038, 7682, 263, 27168, 5334, 2217, 318, 3433, 10922, 476, 272, 994, 1038, 1582, 269, 27168, 5334, 2217, 318, 3433, 815, 2318, 5334, 2217, 318, 3433, 692, 1038, 7682, 263, 22668, 8548, 738, 328, 680, 1512, 3436, 476, 272, 994, 1038, 1582, 269, 22668, 815, 552, 27432, 8548, 738, 328, 680, 1512, 265, 338, 903, 269, 15615, 318, 16769, 269, 22668, 692, 1038, 7682, 6025, 2532, 2652, 1412, 5035, 2305, 262, 610, 4305, 2652, 1412, 2958, 1833, 5073, 1038, 1582, 6745, 2532, 815, 4305, 692, 1038, 952, 630, 339, 2532, 2652, 1412, 2958, 1833, 262, 2187, 2018, 1582, 269, 27168, 5334, 2217, 318, 3433, 815, 476, 272, 692, 1038, 1948, 19461, 1125, 681, 7582, 454, 1038, 952, 678, 978, 568, 7183, 912, 2018, 1582, 25331, 978, 815, 11885, 20179, 10611, 24655, 13750, 4311, 11519, 29239, 318, 23092, 994, 1038, 3116, 912, 2018, 1582, 25331, 978, 815, 11885, 20179, 10611, 24655, 13750, 16868, 978, 2020, 1038, 952, 4452, 24786, 568, 7183, 912, 2018, 630, 311, 267, 586, 264, 815, 1582, 11519, 2102, 4733, 12774, 4590, 1038, 3116, 912, 2018, 630, 311, 267, 586, 264, 815, 524, 303, 1157, 548, 269, 2903, 263, 13449, 263, 2903, 24786, 267, 1412, 337, 321, 10807, 2020, 1038, 952, 4688, 24786, 568, 711, 7183, 912, 2018, 524, 303, 1157, 548, 6155, 2794, 9230, 311, 267, 586, 1070, 1930, 4433, 1511, 24786, 267, 1412, 342, 321, 10807, 2020, 1038, 2706, 263, 19425, 574, 539, 6756, 306, 2869, 531, 273, 291, 267, 1582, 1040, 1029, 8181, 9191, 311, 284, 311, 267, 586, 284, 344, 2020, 825, 1219, 9041, 2102, 4733, 12774, 4311, 2187, 1038, 8173, 1038, 9198, 919, 2473, 543, 586, 14290, 585, 667, 1619, 17637, 30467, 3355, 1436, 454, 1038, 1599, 563, 1038, 29185, 1038, 1948, 335, 27219, 15630, 4671, 15869, 10797, 1038, 1948, 8073, 4351, 5439, 454, 1038, 586, 815, 11885, 25910, 9230, 1345, 4732, 3263, 267, 476, 272, 11723, 1038, 1948, 22953, 2013, 454, 1038, 952, 1582, 6745, 2532, 2652, 1412, 2958, 1833, 12466, 2018, 7663, 1186, 815, 1582, 4732, 3263, 1341, 476, 272, 692, 2018, 18232, 307, 815, 1582, 27982, 318, 9064, 1315, 10581, 4311, 4732, 3263, 994, 2018, 2473, 815, 11885, 25910, 9230, 338, 10102, 267, 476, 273, 4917, 2018, 585, 1775, 538, 2039, 263, 272, 267, 2473, 17482, 314, 271, 316, 2187, 3546, 2473, 5157, 267, 476, 272, 316, 815, 2473, 5157, 268, 272, 267, 476, 272, 316, 1341, 18232, 307, 454, 3546, 2473, 5157, 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 ]
[ 281, 476, 2004, 279, 11835, 1441, 281, 5463, 476, 1001, 277, 454, 3918, 281, 630, 1321, 290, 264, 6178, 636, 9577, 454, 25284, 713, 538, 9338, 294, 7154, 585, 476, 1321, 9573, 454, 314, 383, 371, 316, 1496, 343, 11054, 316, 1496, 18414, 343, 316, 1496, 284, 6540, 11277, 1496, 305, 13478, 316, 4159, 476, 11277, 454, 11277, 1496, 6224, 306, 316, 1496, 305, 13478, 316, 4159, 476, 11277, 692, 6781, 913, 6296, 1413, 899, 589, 7034, 1599, 780, 294, 30790, 454, 6734, 268, 6734, 268, 1001, 280, 267, 476, 6734, 281, 4097, 6751, 454, 8070, 281, 1948, 1556, 454, 678, 2889, 338, 704, 328, 18947, 16588, 24762, 281, 476, 274, 267, 5392, 275, 11835, 1441, 281, 5463, 476, 1001, 274, 454, 3918, 281, 630, 1321, 290, 264, 6178, 636, 9577, 454, 263, 6734, 268, 6734, 268, 1001, 280, 476, 6349, 281, 4375, 6751, 264, 294, 30790, 654, 4710, 281, 476, 1109, 25284, 713, 538, 9338, 294, 7154, 585, 476, 1321, 9573, 454, 314, 383, 371, 316, 1496, 343, 11054, 316, 1496, 18414, 343, 316, 1496, 284, 6540, 11277, 1496, 305, 13478, 316, 4159, 476, 11277, 454, 11277, 1496, 6224, 306, 316, 1496, 305, 13478, 316, 4159, 476, 11277, 692, 6781, 913, 6296, 1413, 899, 589, 7034, 1599, 780, 294, 30790, 692, 5591, 267, 519, 1657, 1982, 7024, 910, 272, 269, 876, 593, 513, 476, 1321, 9573, 267, 607, 4144, 2678, 16143, 780, 306, 2975, 24520, 267, 594, 1185, 547, 2119, 1250, 1101, 620, 613, 321, 686, 659, 7154, 1982, 593, 513, 476, 1321, 9573, 13718, 19950, 532, 772, 11520, 12442, 1384, 4002, 519, 3355, 476, 1321, 9573, 630, 29592, 519, 630, 1070, 25613, 334, 543, 645, 2931, 10628, 941, 3773, 264, 519, 1657, 1982, 7024, 910, 272, 269, 876, 267, 855, 593, 2663, 3631, 630, 10175, 519, 15692, 900, 15975, 264, 7024, 476, 11277, 607, 717, 30790, 4080, 780, 28733, 569, 513, 17079, 267, 594, 991, 547, 2263, 2250, 17079, 5359, 269, 2271, 30698, 569, 267, 519, 3355, 2623, 568, 2953, 543, 519, 2663, 568, 711, 267, 1498, 621, 4667, 12691, 971, 513, 17079, 814, 2760, 1044, 8068, 543, 6378, 13718, 734, 7692, 18370, 704, 328, 454, 6734, 268, 6734, 268, 1001, 280, 267, 476, 6860, 281, 6795, 6751, 454, 8070, 281, 1948, 1321, 454, 7338, 21890, 7825, 18947, 16588, 24762, 281, 476, 272, 267, 275, 4366, 11835, 1441, 281, 5463, 476, 1001, 274, 454, 3918, 281, 630, 1321, 290, 264, 6178, 636, 9577, 454, 263, 6734, 268, 6734, 268, 1001, 280, 476, 4905, 281, 1428, 6751, 264, 2704, 6975, 26960, 654, 4710, 281, 476, 1109, 2252, 513, 1297, 1535, 1185, 606, 10462, 3815, 476, 272, 266, 15770, 267, 630, 343, 6440, 263, 272, 266, 15770, 4297, 11054, 815, 1535, 11054, 6440, 263, 272, 266, 273, 15770, 266, 15770, 11054, 264, 9881, 486, 1535, 11054, 6440, 263, 272, 266, 273, 15770, 2020, 2467, 781, 1100, 834, 15635, 1643, 1399, 257, 950, 621, 2501, 547, 24263, 2338, 563, 15987, 713, 949, 581, 1644, 621, 3085, 1405, 2491, 1018, 781, 2469, 593, 780, 10267, 619, 454, 24171, 454, 6734, 268, 6734, 268, 1001, 280, 267, 476, 4962, 281, 7906, 6751, 630, 1607, 2022, 729, 2063, 9168, 281, 476, 6734, 268, 6734, 268, 1001, 280, 476, 6187, 281, 4905, 6751, 676, 4144, 2678, 8094, 8070, 281, 1948, 1724, 454, 4144, 2678, 18947, 16588, 24762, 281, 476, 273, 267, 4375, 279, 11835, 1441, 281, 5463, 476, 1001, 274, 454, 3918, 281, 630, 1321, 290, 264, 6178, 636, 9577, 454, 263, 6734, 268, 6734, 268, 1001, 280, 476, 6734, 281, 4097, 6751, 264, 337, 2889, 338, 704, 328, 654, 4710, 281, 476, 1109, 4002, 519, 3355, 476, 1321, 9573, 630, 29592, 519, 630, 1070, 25613, 334, 543, 645, 2931, 10628, 941, 3773, 264, 519, 1657, 1982, 7024, 910, 272, 269, 876, 267, 855, 593, 2663, 3631, 630, 10175, 519, 15692, 900, 15975, 264, 7024, 476, 11277, 607, 717, 30790, 4080, 780, 6546, 781, 2731, 20868, 269, 1948, 268, 2020, 296, 4898, 1018, 4523, 538, 2147, 2665, 899, 692, 273, 1496, 266, 316, 1496, 18414, 343, 316, 1496, 284, 2639, 528, 454, 276, 1496, 343, 316, 1496, 299, 301, 316, 1496, 343, 11054, 316, 1496, 284, 6540, 296, 9364, 2503, 476, 274, 267, 6078, 543, 476, 1321, 267, 4817, 855, 15069, 596, 2760, 917, 13718, 13312, 2678, 454, 6734, 268, 6734, 268, 1001, 280, 267, 476, 6187, 281, 7367, 6751, 630, 1607, 2022, 729, 2063, 9168, 281, 476, 6734, 268, 6734, 268, 1001, 280, 476, 6187, 281, 4649, 6751, 676, 717, 3205, 654, 269, 15016, 6242, 8094, 8070, 281, 1948, 1691, 454, 717, 3205, 654, 269, 15016, 6242, 18947, 16588, 24762, 281, 476, 272, 267, 9965, 11835, 1441, 281, 5463, 476, 1001, 274, 454, 3918, 281, 630, 1321, 290, 264, 6178, 636, 9577, 454, 263, 6734, 268, 6734, 268, 1001, 280, 476, 4962, 281, 7906, 6751, 264, 13312, 2678, 654, 4710, 281, 476, 1109, 296, 4898, 1018, 4523, 538, 2147, 2665, 899, 692, 273, 1496, 266, 316, 1496, 18414, 343, 316, 1496, 284, 2639, 528, 454, 276, 1496, 343, 316, 1496, 299, 301, 316, 1496, 343, 11054, 316, 1496, 284, 6540, 296, 9364, 2503, 476, 274, 267, 6078, 543, 476, 1321, 267, 4817, 855, 15069, 596, 2760, 917, 13718, 6546, 779, 1018, 594, 1205, 593, 1250, 30263, 476, 6872, 267, 855, 593, 1250, 476, 1321, 322, 2776, 560, 15607, 630, 663, 593, 519, 5767, 1773, 11294, 4548, 267, 594, 1095, 2541, 1070, 7440, 593, 519, 4159, 3112, 581, 32419, 1310, 606, 11346, 269, 4935, 267, 538, 1931, 547, 1205, 1018, 596, 1616, 519, 1739, 9696, 1058, 581, 1031, 1384, 273, 1496, 266, 316, 476, 273, 1496, 18414, 343, 316, 1496, 284, 316, 9847, 476, 274, 269, 29300, 22659, 6321, 273, 692, 276, 1496, 343, 316, 476, 276, 1496, 299, 301, 316, 1496, 343, 11054, 316, 1496, 284, 316, 9847, 476, 1321, 269, 4817, 272, 26493, 9032, 692, 8379, 9816, 267, 713, 568, 513, 4183, 267, 711, 513, 17079, 269, 4014, 519, 2025, 2623, 568, 15151, 811, 10375, 538, 930, 3871, 267, 594, 4782, 713, 1007, 835, 630, 528, 693, 2547, 594, 1131, 952, 594, 8359, 9338, 294, 267, 799, 594, 2760, 786, 6393, 294, 3205, 563, 6734, 268, 6734, 268, 1001, 280, 267, 476, 5881, 281, 6734, 6751, 630, 1607, 2022, 729, 2063, 9168, 281, 476, 6734, 268, 6734, 268, 1001, 280, 476, 5881, 281, 6734, 6751, 676, 717, 3205, 654, 269, 15016, 6242, 8094, 8070, 281, 1948, 1428, 454, 717, 3205, 654, 269, 15016, 6242, 18947, 16588, 24762, 281, 476, 272, 267, 9965, 11835, 1441, 281, 5463, 476, 1001, 274, 454, 3918, 281, 630, 1321, 290, 264, 6178, 636, 9577, 454, 263, 6734, 268, 6734, 268, 1001, 280, 476, 5400, 281, 1704, 7537, 264, 24171, 21890, 7825, 654, 4710, 912, 263, 6734, 268, 4905, 268, 1001, 280, 476, 6187, 281, 3066, 7537, 264, 294, 30790, 654, 4710, 912, 24927, 912, 311, 284, 271, 717, 15674, 1109, 876, 13673, 9898, 13673, 9898, 1535, 20734, 343, 21680, 692, 1607, 3085, 1405, 960, 585, 6695, 3847, 1923, 1535, 1422, 2431, 1923, 315, 19008, 16435, 656, 476, 1015, 13064, 2004, 6525, 610, 6695, 3847, 1923, 1535, 1422, 2431, 1923, 1422, 28254, 16435, 656, 476, 1015, 3867, 2004, 6525, 1813, 547, 896, 268, 610, 24492, 780, 763, 681, 14149, 1982, 538, 2022, 1948, 273, 1657, 4625, 30417, 891, 28919, 780, 294, 3205, 563, 6734, 268, 6734, 268, 1001, 280, 267, 476, 5881, 281, 5392, 6751, 454, 8070, 281, 1948, 1626, 454, 15751, 26960, 18947, 16588, 24762, 281, 476, 277, 4792, 11835, 1441, 281, 7325, 476, 1001, 279, 454, 3918, 281, 630, 1321, 290, 264, 6178, 636, 9577, 454, 263, 6734, 268, 6734, 268, 1001, 280, 476, 6860, 281, 6795, 6751, 264, 24171, 21890, 7825, 654, 4710, 281, 476, 1109, 2467, 781, 1100, 834, 15635, 1643, 1399, 257, 950, 621, 2501, 547, 24263, 2338, 563, 15987, 713, 949, 581, 1644, 621, 3085, 1405, 2491, 1018, 781, 2469, 593, 780, 307, 5281, 856, 267, 972, 568, 4986, 547, 2491, 269, 594, 1336, 513, 4831, 7721, 2217, 4429, 7069, 2022, 593, 4009, 267, 1739, 676, 4009, 268, 10174, 5180, 2389, 8692, 568, 4636, 692, 7078, 267, 593, 24605, 268, 1321, 290, 267, 1535, 815, 13100, 1341, 476, 271, 269, 6860, 815, 476, 274, 269, 8687, 30020, 4792, 275, 692, 274, 269, 8687, 30020, 4792, 275, 317, 273, 9881, 486, 476, 1015, 269, 14338, 276, 4029, 279, 1626, 271, 267, 17031, 5346, 3562, 476, 1015, 269, 14338, 276, 4029, 11025, 692, 18414, 1015, 269, 14338, 276, 4029, 11025, 9881, 486, 476, 274, 269, 8687, 30020, 4792, 275, 8287, 267, 17031, 5346, 3562, 476, 274, 269, 8687, 30020, 277, 4649, 692, 305, 26559, 540, 1535, 1315, 20734, 263, 343, 11054, 264, 815, 476, 271, 269, 15886, 15886, 15886, 278, 9881, 510, 476, 272, 454, 6734, 268, 6734, 268, 1001, 280, 267, 476, 5881, 281, 6795, 6751, 630, 1607, 2022, 729, 2063, 9168, 281, 476, 6734, 268, 6734, 268, 1001, 280, 476, 5881, 281, 6795, 6751, 676, 678, 2889, 338, 704, 328, 8094, 8070, 281, 1948, 1704, 454, 678, 2889, 338, 704, 328, 18947, 16588, 24762, 281, 476, 274, 267, 5392, 275, 11835, 1441, 281, 5463, 476, 1001, 274, 454, 3918, 281, 630, 1321, 290, 264, 6178, 636, 9577, 454, 263, 6734, 268, 6734, 268, 1001, 280, 476, 4962, 281, 7906, 6751, 264, 13312, 2678, 654, 4710, 281, 476, 1109, 296, 4898, 1018, 4523, 538, 2147, 2665, 899, 692, 273, 1496, 266, 316, 1496, 18414, 343, 316, 1496, 284, 2639, 528, 454, 276, 1496, 343, 316, 1496, 299, 301, 316, 1496, 343, 11054, 316, 1496, 284, 6540, 296, 9364, 2503, 476, 274, 267, 6078, 543, 476, 1321, 267, 4817, 855, 15069, 596, 2760, 917, 13718, 24314, 476, 1321, 9573, 281, 476, 274, 267, 6078, 1299, 476, 1321, 267, 4817, 692, 30952, 476, 1321, 9573, 281, 476, 272, 267, 6078, 1299, 476, 273, 267, 6795, 692, 296, 4312, 711, 21503, 2943, 267, 855, 717, 3205, 781, 5758, 834, 1862, 1173, 3701, 593, 519, 4159, 3112, 581, 32419, 1310, 606, 11346, 29389, 4667, 513, 13801, 5758, 540, 519, 1412, 325, 12089, 262, 610, 693, 2547, 8242, 267, 2623, 269, 9324, 3539, 556, 14025, 540, 519, 3312, 4661, 949, 723, 1044, 2556, 630, 528, 693, 2547, 4443, 264, 607, 513, 1267, 540, 4946, 519, 6167, 23077, 4183, 538, 519, 476, 273, 526, 543, 782, 2663, 3126, 540, 476, 1321, 9573, 3631, 780, 3080, 1223, 8044, 2901, 1259, 799, 568, 1412, 2431, 3299, 2094, 15821, 10035, 568, 711, 528, 13124, 24813, 267, 1498, 594, 1590, 16153, 602, 713, 568, 513, 811, 4277, 982, 3339, 3510, 780, 287, 294, 3205, 910, 540, 1576, 519, 681, 14149, 3070, 1568, 282, 789, 2811, 2141, 796, 3711, 27631, 780, 734, 7692, 18370, 704, 328, 454, 6734, 268, 6734, 268, 1001, 280, 267, 476, 1556, 281, 2767, 6751, 454, 8070, 281, 1948, 1240, 454, 7338, 21890, 7825, 18947, 16588, 24762, 281, 476, 272, 267, 275, 4366, 11835, 1441, 281, 5463, 476, 1001, 274, 454, 3918, 281, 630, 1321, 290, 264, 6178, 636, 9577, 454, 263, 6734, 268, 6734, 268, 1001, 280, 476, 5881, 281, 5392, 6751, 264, 2704, 6975, 26960, 654, 4710, 281, 476, 1109, 7078, 267, 593, 24605, 268, 1321, 290, 267, 1535, 815, 13100, 1341, 476, 271, 269, 6860, 815, 476, 274, 269, 8687, 30020, 4792, 275, 692, 2252, 649, 1175, 1413, 693, 519, 16051, 20811, 621, 5526, 602, 713, 1152, 4523, 585, 2418, 1063, 6695, 6912, 346, 1015, 348, 1422, 13627, 476, 274, 269, 14341, 2764, 2330, 543, 3230, 276, 2330, 563, 4517, 1369, 713, 8884, 621, 4523, 693, 827, 476, 1240, 269, 4391, 260, 540, 519, 2665, 563, 7617, 568, 2673, 547, 6695, 2765, 346, 276, 910, 1422, 6912, 346, 1015, 12453, 1015, 348, 1422, 13627, 476, 271, 269, 8146, 6507, 2330, 563, 24400, 513, 1297, 693, 4351, 5012, 547, 513, 4636, 1267, 538, 827, 476, 272, 540, 476, 2767, 2665, 563, 296, 1810, 1405, 1589, 602, 649, 666, 10714, 602, 780, 2080, 781, 513, 3349, 609, 930, 2418, 3230, 343, 2330, 2348, 1152, 476, 276, 9704, 1310, 519, 8918, 1448, 543, 6695, 6912, 12757, 317, 273, 6525, 607, 621, 568, 7229, 676, 519, 24605, 268, 1321, 290, 912, 24927, 912, 274, 269, 14321, 6246, 1109, 274, 269, 14321, 275, 3066, 15886, 476, 274, 269, 13932, 5780, 1109, 274, 269, 13932, 32133, 9826, 476, 274, 269, 14378, 3066, 1109, 274, 269, 14378, 29579, 15886, 476, 274, 269, 5002 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10285, 4703, 540, 2699, 13479, 616, 1875, 332, 582, 850, 269, 634, 4775, 3023, 1418, 267, 1572, 513, 15790, 690, 28016, 267, 5161, 540, 513, 796, 514, 16197, 622, 3148, 602, 3252, 607, 519, 4212, 543, 513, 959, 747, 9609, 928, 267, 610, 16879, 267, 602, 6411, 607, 519, 14203, 7789, 12386, 269, 6348, 332, 582, 850, 547, 799, 5256, 13708, 26347, 1831, 7923, 269, 634, 1875, 332, 582, 850, 5256, 13708, 26347, 630, 338, 704, 3901, 807, 264, 616, 3812, 2206, 569, 538, 519, 5256, 3023, 1418, 3073, 753, 267, 519, 521, 704, 3901, 836, 1756, 338, 704, 3901, 836, 807, 563, 16446, 2368, 2699, 13479, 616, 1271, 1426, 2371, 630, 324, 3052, 1421, 3288, 591, 267, 546, 592, 572, 264, 543, 1547, 1358, 949, 11677, 1312, 741, 7990, 543, 15074, 11294, 748, 2470, 950, 11273, 269, 7144, 337, 6053, 267, 9721, 21263, 630, 2419, 1180, 6350, 264, 568, 1031, 607, 513, 15074, 11294, 12990, 538, 30077, 902, 267, 26025, 267, 4672, 8645, 267, 543, 28933, 269, 2368, 2249, 540, 4856, 718, 2088, 543, 922, 16167, 616, 1271, 267, 2059, 609, 3662, 27712, 267, 538, 8108, 14147, 18625, 543, 10195, 269, 589, 3258, 267, 606, 993, 6973, 748, 513, 15074, 11294, 6438, 6219, 5423, 5097, 689, 717, 2350, 1791, 807, 543, 717, 601, 29899, 2249, 267, 568, 1271, 607, 513, 2528, 5420, 585, 4551, 543, 13271, 269, 0, 16240, 3211, 616, 5363, 585, 782, 1603, 5933, 267, 689, 606, 2038, 5856, 781, 1101, 2262, 547, 513, 2462, 4819, 781, 10388, 1557, 2119, 1603, 3211, 609, 707, 4819, 269, 4400, 1153, 1272, 10855, 1557, 8772, 1032, 267, 1250, 19463, 1032, 538, 1164, 1153, 1498, 621, 781, 1360, 2182, 1775, 8737, 1250, 8772, 1032, 609, 1100, 13542, 4271, 908, 1053, 610, 20650, 602, 1018, 789, 1289, 721, 269, 23512, 790, 707, 1053, 547, 1020, 513, 6612, 585, 1603, 267, 2259, 2542, 8223, 267, 543, 1628, 6863, 543, 8239, 1983, 609, 891, 1893, 6575, 3992, 4566, 269, 3733, 1101, 1554, 693, 1153, 2433, 1250, 3993, 10483, 803, 547, 1153, 593, 519, 1101, 1554, 824, 3237, 10483, 741, 1453, 607, 1134, 649, 782, 31372, 538, 4395, 540, 519, 1153, 5604, 4166, 21738, 7005, 3594, 281, 1164, 1153, 7005, 3594, 269, 2422, 713, 1804, 1592, 540, 27362, 543, 1394, 547, 1153, 1603, 12987, 547, 948, 596, 1711, 930, 1187, 4760, 1603, 3584, 585, 707, 10026, 1153, 1053, 563, 8002, 1557, 10959, 543, 3732, 562, 4912, 476, 2764, 476, 275, 628, 5037, 815, 693, 2547, 476, 276, 5220, 476, 272, 621, 568, 15673, 532, 547, 2154, 513, 11359, 1032, 540, 1164, 1153, 547, 948, 14038, 1020, 1272, 1983, 602, 616, 6225, 538, 519, 2816, 2344, 269, 18049, 3211, 616, 606, 2500, 1259, 547, 948, 3214, 2087, 741, 1603, 891, 7005, 8239, 3211, 4001, 2694, 540, 4633, 267, 18685, 267, 543, 811, 269, 3733, 1153, 1557, 476, 274, 630, 1220, 1913, 264, 513, 1153, 568, 1360, 9758, 1747, 899, 513, 11454, 1141, 649, 979, 3232, 547, 1451, 543, 1353, 547, 979, 6619, 538, 938, 1272, 649, 7281, 547, 5601, 3232, 538, 519, 1153, 585, 938, 1732, 2729, 543, 1697, 1353, 269, 1452, 1603, 4245, 543, 2238, 786, 1450, 519, 1762, 4589, 538, 707, 4928, 547, 19542, 513, 266, 1382, 543, 1603, 585, 1164, 1153, 543, 2852, 1053, 789, 666, 946, 6394, 1239, 547, 7447, 875, 1454, 22938, 13875, 7213, 12885, 538, 513, 1032, 543, 2263, 2081, 547, 4194, 519, 22938, 13875, 1966, 563, 301, 12764, 3446, 568, 1419, 519, 1101, 1153, 1032, 540, 1164, 1153, 538, 519, 4974, 2553, 267, 543, 1603, 540, 2835, 267, 9089, 267, 543, 1022, 824, 630, 514, 2474, 540, 2085, 4170, 264, 568, 6697, 547, 1032, 476, 1015, 630, 21406, 1032, 476, 1556, 538, 7187, 476, 790, 1633, 1070, 519, 8772, 1032, 540, 3102, 10774, 662, 270, 13559, 3405, 1153, 1034, 269, 3798, 1746, 543, 6169, 532, 3211, 476, 275, 628, 543, 476, 276, 628, 3446, 267, 9344, 737, 268, 1321, 524, 322, 1087, 3009, 4433, 2567, 561, 7367, 31925, 9073, 281, 27682, 519, 5220, 621, 568, 4998, 585, 1164, 1153, 1053, 267, 855, 666, 581, 1031, 1141, 3617, 1317, 621, 568, 1500, 2653, 547, 1820, 563, 18770, 823, 593, 8939, 1164, 1153, 6030, 798, 1775, 723, 547, 1491, 513, 8772, 1032, 540, 1514, 2090, 610, 666, 1775, 1376, 513, 2034, 4914, 1893, 3079, 993, 1775, 5423, 547, 1491, 2852, 7400, 2979, 267, 1603, 267, 543, 2257, 6030, 269, 11908, 1164, 1153, 1603, 1449, 630, 724, 1873, 339, 264, 1603, 10526, 630, 326, 10232, 476, 274, 267, 476, 276, 543, 476, 279, 264, 1603, 4879, 2200, 8772, 3446, 1603, 19875, 13032, 5255, 10315, 269, 19573, 566, 1032, 630, 14683, 1153, 610, 575, 539, 1164, 1153, 9845, 1152, 281, 2638, 1934, 547, 1451, 827, 519, 1269, 1911, 271, 2875, 19002, 2852, 14172, 1269, 273, 267, 1822, 1100, 1557, 14172, 1930, 547, 782, 1053, 630, 14683, 1153, 267, 2852, 610, 2937, 264, 21120, 281, 32414, 476, 1789, 267, 476, 1001, 279, 563, 303, 32631, 561, 648, 333, 15605, 3084, 1164, 1153, 1606, 760, 676, 575, 754, 698, 6352, 538, 1514, 543, 3929, 1646, 540, 1053, 538, 8772, 1032, 547, 3083, 1518, 519, 13460, 540, 8772, 1032, 1377, 13460, 540, 9757, 3296, 538, 8772, 1032, 1377, 6054, 2147, 547, 521, 760, 268, 2083, 760, 3626, 476, 275, 18178, 1286, 537, 1088, 1286, 537, 1088, 563, 8340, 948, 593, 1164, 1153, 1557, 2497, 543, 1164, 25217, 1557, 3584, 593, 713, 2985, 2689, 513, 1164, 1153, 1557, 3732, 585, 1863, 269, 12989, 568, 606, 1557, 593, 1250, 1101, 1554, 540, 1164, 1153, 689, 4550, 3594, 267, 707, 2707, 585, 1382, 4574, 267, 3594, 267, 543, 2165, 1957, 1806, 1142, 1032, 540, 1164, 1153, 1775, 2968, 811, 1930, 2247, 539, 607, 1775, 4810, 1114, 3871, 609, 1004, 1169, 1554, 269, 30180, 11034, 1260, 11392, 1164, 12773, 1863, 1603, 3211, 585, 4587, 1053, 8772, 543, 11359, 17603, 666, 2259, 1114, 6163, 540, 1603, 609, 10855, 1603, 3211, 543, 10388, 1603, 3211, 1557, 1603, 3211, 948, 1053, 2259, 16878, 1603, 693, 513, 269, 1412, 22967, 1603, 281, 1250, 4832, 16314, 262, 568, 513, 1863, 1603, 4976, 585, 476, 274, 6113, 543, 476, 275, 628, 17603, 946, 713, 4976, 547, 948, 1053, 2259, 1603, 2500, 3594, 269, 0, 23208, 543, 5339, 2796, 585, 544, 10008, 27056, 781, 25188, 4428, 324, 519, 4544, 4055, 7494, 6766, 18008, 8106, 3332, 543, 922, 6514, 540, 519, 1480, 20369, 3832, 269, 4460, 14565, 616, 5423, 676, 519, 1291, 4879, 5856, 543, 2808, 267, 20272, 345, 6085, 544, 10008, 27056, 562, 748, 929, 15530, 25366, 682, 1268, 333, 720, 632, 25188, 4428, 324, 1285, 656, 5067, 563, 14813, 1663, 10642, 1010, 3318, 4876, 267, 998, 606, 6514, 540, 1010, 960, 538, 1063, 519, 1079, 8747, 540, 25188, 4428, 324, 267, 544, 10008, 27056, 781, 1079, 1655, 4249, 269, 570, 691, 4428, 324, 267, 610, 519, 791, 739, 528, 267, 610, 519, 3834, 665, 1679, 1101, 5340, 538, 476, 14917, 275, 267, 568, 835, 540, 519, 1034, 4583, 26974, 3740, 635, 12203, 676, 544, 10008, 27056, 519, 3197, 540, 25188, 4428, 324, 267, 1714, 332, 790, 11783, 9473, 655, 2740, 543, 17049, 585, 2947, 1296, 538, 544, 10008, 27056, 781, 1554, 267, 25188, 4428, 324, 568, 513, 24337, 593, 2705, 267, 1310, 2673, 6514, 540, 519, 1404, 267, 1775, 1336, 602, 519, 1404, 3085, 1405, 2731, 563, 5591, 1362, 530, 476, 272, 270, 2641, 267, 544, 10008, 699, 281, 25188, 4428, 324, 267, 6411, 1775, 268, 4512, 1353, 3391, 544, 10008, 699, 281, 25188, 4428, 324, 1557, 1813, 544, 476, 273, 270, 273, 267, 795, 6756, 18191, 659, 4302, 530, 476, 273, 270, 1839, 267, 4571, 3410, 981, 535, 476, 273, 270, 2767, 267, 519, 2413, 1547, 1323, 1367, 543, 13354, 6514, 540, 519, 6198, 2609, 1175, 607, 544, 10008, 27056, 5036, 519, 26037, 540, 25188, 4428, 324, 543, 610, 12455, 1996, 519, 1920, 267, 530, 344, 7815, 2917, 269, 10749, 543, 9880, 593, 544, 10008, 699, 781, 25188, 4428, 324, 910, 2565, 3594, 2565, 6268, 519, 1915, 540, 25188, 4428, 324, 538, 544, 10008, 27056, 781, 22344, 1404, 25188, 4428, 324, 568, 519, 6305, 269, 631, 10008, 699, 281, 513, 1353, 538, 19433, 630, 331, 5064, 267, 476, 3192, 278, 264, 713, 3568, 930, 4779, 648, 781, 7440, 585, 25188, 4428, 324, 607, 513, 13371, 1915, 267, 1498, 789, 616, 3262, 1851, 519, 563, 10214, 950, 1775, 729, 513, 4195, 2006, 18008, 2101, 538, 2852, 267, 789, 6026, 544, 10008, 699, 781, 968, 25188, 4428, 324, 892, 607, 513, 2484, 576, 827, 3909, 3834, 4531, 19192, 11652, 8197, 267, 602, 568, 563, 297, 6756, 19071, 626, 324, 1093, 638, 601, 514, 544, 10008, 27056, 630, 14341, 273, 268, 15757, 274, 264, 942, 25188, 4428, 324, 13290, 547, 6822, 340, 576, 610, 12455, 781, 7385, 267, 1714, 332, 790, 267, 543, 4991, 610, 12455, 547, 1129, 936, 547, 1864, 782, 540, 1010, 3959, 519, 1404, 27592, 547, 1582, 7721, 8727, 543, 30925, 540, 519, 9409, 538, 519, 1582, 804, 2946, 14397, 607, 269, 570, 691, 4428, 324, 267, 676, 544, 10008, 27056, 9859, 676, 556, 573, 1196, 601, 2006, 630, 1220, 273, 269, 634, 3638, 6965, 540, 544, 10008, 699, 543, 519, 6946, 6752, 540, 519, 18008, 536, 28123, 12251, 616, 25188, 4428, 324, 568, 5340, 538, 519, 1524, 560, 4202, 3109, 4216, 14364, 538, 519, 3675, 534, 563, 274, 2395, 3516, 6801, 540, 19636, 2504, 540, 544, 10008, 27056, 781, 25188, 4428, 324, 1616, 547, 1491, 519, 1397, 547, 1612, 529, 25188, 4428, 324, 281, 519, 1412, 320, 10347, 267, 13035, 6514, 540, 6917, 10072, 269, 667, 1090, 4405, 613, 30479, 688, 1872, 1633, 267, 543, 2818, 540, 519, 5641, 543, 3860, 2319, 3391, 721, 998, 519, 968, 325, 944, 880, 1145, 543, 1165, 569, 892, 540, 544, 10008, 27056, 781, 25188, 4428, 324, 269, 5192, 1863, 6780, 948, 593, 544, 10008, 699, 781, 25188, 4428, 324, 281, 1404, 5758, 267, 6429, 5758, 543, 2079, 543, 3312, 1257, 267, 10530, 267, 3594, 267, 543, 1915, 2079, 21806, 540, 1547, 3718, 281, 610, 12455, 689, 682, 25188, 4428, 324, 267, 3771, 335, 6782, 689, 561, 262, 822, 732, 267, 543, 818, 1146, 689, 682, 4731, 1228, 540, 713, 5098, 568, 547, 1459, 606, 6514, 540, 519, 5230, 18971, 538, 544, 10008, 27056, 781, 563, 3849, 2194, 539, 1360, 29101, 689, 544, 10008, 699, 781, 1404, 267, 543, 344, 795, 2158, 814, 2944, 606, 1256, 811, 10690, 8144, 713, 1007, 4528, 4249, 693, 519, 7005, 16222, 269, 631, 10008, 699, 781, 15234, 339, 691, 4428, 324, 5257, 568, 513, 1650, 827, 513, 812, 945, 8813, 10352, 547, 3765, 31419, 740, 2610, 519, 10565, 960, 547, 12260, 713, 3992, 596, 1590, 581, 513, 1353, 1260, 4759, 6185, 5877, 0, 763, 5061, 5941, 2630, 1331, 1875, 3122, 18042, 4550, 13611, 5061, 630, 301, 6347, 31312, 1070, 2489, 543, 2199, 606, 652, 12060, 267, 4550, 1551, 20263, 923, 630, 600, 1675, 541, 821, 267, 1496, 274, 1532, 6674, 619, 267, 7513, 8756, 21087, 1235, 267, 543, 798, 343, 1794, 28009, 1070, 543, 11216, 269, 11524, 1331, 28335, 267, 676, 16495, 540, 741, 7777, 665, 20294, 1355, 3601, 630, 8117, 849, 829, 643, 6018, 27470, 540, 519, 11528, 543, 18337, 12091, 2723, 525, 267, 543, 1250, 22889, 27394, 15727, 1813, 547, 11379, 22930, 267, 4553, 676, 1065, 541, 894, 27470, 264, 543, 1623, 1790, 987, 558, 574, 7497, 267, 676, 16495, 540, 606, 2333, 538, 1310, 2903, 630, 7094, 30950, 710, 543, 11337, 27019, 31152, 1312, 957, 998, 713, 7271, 543, 949, 16578, 8325, 2604, 4679, 693, 1164, 13066, 1916, 15239, 3122, 18042, 4550, 13611, 5061, 630, 301, 6347, 31312, 994, 301, 6347, 31312, 16578, 610, 22652, 2295, 5821, 676, 5009, 5714, 12802, 269, 4256, 2101, 7271, 540, 2962, 568, 22629, 540, 14382, 698, 1633, 514, 10282, 267, 3842, 22629, 540, 7814, 334, 2135, 4723, 848, 269, 634, 1482, 7271, 6589, 585, 715, 6347, 2839, 13779, 538, 519, 2360, 540, 1019, 675, 9455, 543, 2587, 3999, 839, 514, 8410, 31844, 11747, 630, 19781, 264, 20127, 269, 769, 2635, 5396, 267, 14382, 698, 1633, 1231, 1404, 513, 6281, 1909, 538, 17669, 27921, 267, 543, 798, 711, 2356, 723, 1713, 2360, 593, 17669, 8280, 19392, 269, 769, 2295, 5821, 267, 593, 519, 824, 1688, 267, 789, 1404, 513, 2101, 1909, 538, 9025, 543, 17669, 27921, 281, 789, 2014, 21729, 617, 559, 520, 566, 540, 519, 3413, 5166, 12091, 1470 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 581, 2944, 267, 855, 649, 666, 1205, 972, 563, 295, 3951, 281, 6970, 1081, 568, 2141, 513, 1434, 3635, 454, 14187, 2816, 593, 519, 851, 540, 918, 20482, 6807, 18763, 3427, 10588, 8111, 23734, 550, 4460, 18539, 560, 547, 6494, 856, 513, 4484, 547, 3237, 28409, 873, 547, 581, 21713, 950, 621, 2501, 547, 519, 11452, 563, 4407, 519, 1981, 568, 1970, 267, 18539, 560, 779, 2856, 729, 547, 2995, 519, 3237, 602, 519, 1153, 8664, 729, 1134, 3222, 540, 519, 3510, 543, 729, 9363, 5483, 540, 519, 7929, 4576, 602, 814, 10645, 519, 2729, 540, 811, 982, 476, 272, 267, 1822, 1004, 538, 3624, 563, 2005, 779, 513, 1434, 1847, 676, 519, 1153, 8664, 267, 543, 835, 602, 649, 5660, 563, 300, 3041, 306, 281, 12049, 518, 6506, 7921, 568, 519, 1007, 1306, 5155, 454, 2171, 2731, 2648, 7147, 13600, 569, 12139, 267, 543, 649, 782, 1118, 9073, 855, 6693, 2171, 16425, 838, 527, 856, 938, 4837, 540, 932, 30972, 333, 599, 950, 649, 1224, 602, 968, 293, 1042, 518, 6506, 7921, 568, 519, 1007, 1306, 5155, 892, 538, 713, 3923, 779, 7160, 540, 519, 12139, 563, 308, 327, 267, 12049, 518, 6506, 7921, 568, 3579, 267, 855, 1577, 779, 711, 4819, 6000, 269, 898, 568, 711, 1306, 5155, 563, 2026, 5155, 568, 1306, 5155, 2443, 621, 814, 6777, 543, 519, 2473, 294, 1868, 269, 898, 814, 3638, 1004, 593, 606, 3486, 4336, 563, 1103, 782, 3978, 1145, 267, 519, 1650, 568, 606, 4277, 9661, 827, 519, 2179, 540, 2724, 3001, 883, 519, 10830, 13474, 267, 543, 875, 621, 568, 4657, 519, 3148, 269, 1284, 616, 5693, 7487, 602, 1934, 538, 918, 20482, 6807, 267, 1141, 2208, 568, 2469, 547, 581, 519, 3143, 269, 476, 272, 1888, 540, 6643, 563, 4913, 267, 621, 779, 513, 512, 611, 16349, 547, 1289, 12049, 518, 6506, 7921, 4376, 824, 982, 621, 568, 2443, 513, 1507, 28928, 4884, 609, 513, 2603, 540, 1761, 563, 300, 3041, 306, 281, 681, 5661, 595, 12522, 6095, 2996, 1175, 1079, 6801, 454, 5194, 7147, 13600, 569, 2446, 540, 918, 20482, 6807, 2934, 2199, 13962, 681, 5661, 595, 12522, 267, 799, 4607, 1079, 6801, 269, 1548, 779, 9642, 568, 602, 621, 729, 513, 7168, 8799, 2689, 585, 519, 5576, 516, 10719, 9335, 552, 831, 344, 563, 28317, 9269, 543, 7573, 17339, 729, 1642, 880, 543, 1175, 1018, 519, 4387, 10288, 2223, 519, 20822, 2689, 518, 5206, 1354, 4758, 519, 13962, 1079, 6801, 2443, 799, 568, 1869, 2808, 1434, 563, 2252, 519, 4387, 10288, 621, 267, 543, 596, 8949, 569, 10150, 621, 267, 3085, 1406, 602, 1611, 811, 982, 1079, 6801, 286, 595, 685, 3000, 267, 7147, 13600, 569, 269, 0, 1103, 1931, 547, 13209, 14817, 334, 14978, 26217, 267, 7426, 949, 946, 513, 1973, 1449, 1572, 13672, 1922, 564, 29952, 267, 610, 589, 17025, 267, 543, 835, 610, 811, 9196, 4255, 269, 2755, 606, 11506, 589, 17025, 1377, 666, 581, 606, 13525, 540, 2860, 267, 1082, 1004, 609, 14817, 334, 14978, 26217, 723, 3339, 589, 17025, 2157, 269, 1280, 713, 2601, 267, 7426, 945, 14353, 14817, 334, 14978, 26217, 798, 711, 7048, 593, 589, 17025, 4805, 563, 3412, 1645, 4255, 602, 949, 581, 1031, 547, 13209, 14817, 334, 14978, 26217, 1331, 912, 268, 8299, 14647, 281, 8299, 14647, 3096, 1164, 23151, 3280, 6329, 547, 1711, 2592, 540, 4835, 8219, 269, 901, 568, 1419, 519, 1101, 9196, 1449, 2944, 950, 14817, 334, 14978, 26217, 568, 16143, 563, 268, 11632, 11571, 281, 6156, 539, 29821, 267, 610, 11632, 267, 18767, 946, 513, 4999, 540, 2027, 1535, 17530, 543, 2780, 2029, 547, 1711, 2592, 540, 4835, 8219, 269, 589, 2027, 20004, 1572, 513, 4334, 5420, 949, 581, 22280, 610, 15179, 539, 547, 1118, 4835, 3889, 2408, 811, 5693, 563, 268, 18909, 281, 25080, 16982, 9196, 267, 610, 18909, 267, 3096, 5925, 6329, 543, 22197, 547, 1711, 2592, 540, 4835, 8219, 563, 268, 4911, 25086, 281, 769, 2587, 25086, 267, 4334, 1570, 568, 22280, 883, 513, 1804, 16050, 538, 519, 9240, 514, 269, 2473, 11920, 5961, 616, 1287, 3144, 547, 6218, 519, 27555, 1973, 3761, 547, 519, 6797, 269, 769, 2550, 609, 14817, 334, 14978, 26217, 267, 9241, 4646, 9402, 1507, 1973, 8043, 602, 3049, 519, 10510, 666, 581, 2938, 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 ]
[ 543, 15279, 30368, 538, 519, 804, 1144, 267, 543, 1293, 873, 563, 307, 2532, 3214, 609, 713, 7792, 12805, 5546, 3635, 602, 814, 2147, 5546, 593, 2901, 2427, 269, 634, 6335, 568, 602, 519, 4778, 540, 5546, 4268, 269, 8866, 991, 547, 1118, 513, 835, 3562, 14633, 19359, 1063, 519, 5546, 563, 28403, 1944, 5381, 25609, 454, 22209, 823, 707, 12284, 609, 713, 9301, 5546, 4976, 7824, 585, 9656, 3214, 267, 4758, 1142, 835, 540, 873, 513, 2601, 547, 3458, 600, 834, 296, 1336, 621, 256, 2580, 607, 789, 1413, 585, 519, 9138, 3337, 538, 519, 3681, 543, 2681, 621, 563, 32575, 543, 715, 5446, 476, 273, 291, 25609, 454, 1805, 597, 1719, 538, 3214, 609, 938, 7114, 543, 20803, 476, 273, 291, 5546, 1688, 8083, 10023, 513, 2647, 2039, 540, 5751, 5473, 2596, 476, 273, 8820, 6366, 5546, 267, 9076, 559, 831, 1023, 543, 29977, 563, 273, 291, 25609, 538, 7464, 21509, 454, 12648, 3214, 593, 513, 3337, 1760, 926, 1472, 519, 1153, 267, 1246, 909, 609, 713, 1305, 540, 1983, 5473, 1483, 3734, 476, 273, 291, 5515, 267, 513, 2241, 2275, 992, 323, 5418, 6471, 602, 2337, 3214, 1451, 547, 4766, 519, 5546, 538, 741, 1604, 563, 306, 1938, 543, 12397, 619, 540, 476, 273, 291, 25609, 454, 763, 5011, 543, 15174, 540, 476, 273, 291, 5546, 3211, 616, 2614, 547, 5337, 924, 707, 4819, 781, 6612, 585, 1565, 543, 1205, 873, 31235, 609, 519, 10305, 540, 519, 2596, 5546, 563, 4467, 19397, 543, 1546, 1260, 19397, 476, 273, 291, 25609, 454, 1432, 1223, 25041, 713, 16801, 540, 21882, 543, 10920, 19397, 7077, 5546, 5751, 286, 6787, 621, 568, 15652, 532, 513, 476, 273, 291, 3337, 610, 9256, 476, 273, 291, 5546, 547, 4020, 513, 12432, 3337, 267, 891, 7824, 338, 723, 873, 782, 563, 21008, 532, 476, 273, 291, 543, 476, 274, 291, 25609, 454, 10000, 707, 3014, 609, 938, 7792, 9236, 476, 273, 291, 543, 476, 274, 291, 5546, 1688, 8083, 267, 543, 1451, 547, 10646, 267, 543, 19665, 5546, 269, 5192, 3214, 547, 2697, 476, 273, 291, 5515, 607, 519, 8188, 540, 476, 274, 291, 5546, 563, 289, 22877, 513, 16588, 454, 15648, 9736, 476, 1708, 274, 910, 4569, 6096, 476, 275, 8866, 454, 300, 20047, 723, 12600, 6703, 547, 4647, 606, 1367, 4976, 267, 610, 606, 3003, 1377, 563, 4537, 16747, 8018, 18014, 1107, 5131, 28826, 454, 4537, 16747, 616, 606, 7533, 851, 540, 2038, 1565, 269, 589, 5546, 4976, 9251, 568, 513, 1390, 1259, 547, 6338, 1762, 6267, 547, 513, 3099, 540, 5546, 267, 24917, 741, 5386, 5179, 1983, 267, 543, 3986, 741, 3337, 6284, 5759, 269, 1452, 1863, 7792, 5546, 3211, 616, 4481, 2966, 585, 9251, 543, 9656, 1053, 269, 2913, 779, 2263, 891, 8748, 2200, 585, 4928, 946, 610, 1753, 946, 269, 1452, 9251, 3211, 616, 5078, 585, 1762, 6267, 543, 909, 269, 8281, 519, 1863, 5546, 4976, 9251, 7300, 693, 519, 5377, 540, 713, 2022, 610, 4647, 1142, 540, 519, 9251, 3337, 3211, 2429, 519, 2022, 563, 303, 4319, 3876, 11314, 9664, 454, 290, 22511, 4976, 9251, 563, 1607, 4976, 568, 782, 827, 10580, 256, 898, 2934, 1614, 2502, 6810, 912, 268, 29895, 543, 2681, 538, 519, 5858, 609, 513, 1376, 12297, 281, 589, 9735, 1259, 547, 1020, 5386, 5179, 1983, 543, 1688, 31378, 11558, 269, 634, 4358, 1448, 568, 6825, 609, 513, 12297, 543, 606, 15561, 563, 268, 7822, 538, 519, 2953, 3337, 281, 901, 3296, 2488, 513, 7801, 2985, 609, 1114, 5546, 267, 543, 1762, 3214, 723, 547, 2697, 543, 2681, 538, 519, 5858, 269, 898, 779, 606, 1271, 5748, 585, 23243, 1063, 1585, 5546, 563, 268, 8571, 519, 5858, 281, 3371, 267, 9251, 1053, 786, 723, 606, 4316, 547, 21613, 519, 5858, 3337, 267, 2901, 1739, 5546, 13890, 609, 12297, 1540, 3515, 610, 5373, 1863, 8518, 563, 16665, 281, 1280, 1346, 3168, 585, 811, 1187, 2081, 547, 6451, 5546, 267, 2638, 856, 713, 5373, 2831, 1210, 5546, 1863, 25258, 4586, 291, 32052, 26183, 4696, 22400, 17676, 595, 7644, 290, 4041, 20796, 16775, 4047, 4953, 11123, 11553, 2464, 29558, 5357, 28313, 454, 3721, 1635, 5153, 17781, 10960, 18768, 454, 306, 13645, 4976, 9251, 563, 306, 13645, 568, 1776, 4909, 3337, 269, 901, 4976, 786, 3382, 912, 268, 29895, 543, 2681, 538, 519, 4009, 609, 513, 1376, 12297, 281, 4279, 585, 8026, 2786, 3515, 543, 8901, 4656, 563, 268, 7822, 538, 519, 2953, 3337, 281, 901, 786, 1449, 3337, 6284, 543, 5386, 5179, 1983, 607, 1453, 1413, 585, 519, 4009, 1851, 824, 12166, 5546, 563, 268, 8571, 519, 4009, 281, 1323, 3635, 538, 18187, 908, 513, 3337, 609, 3160, 5011, 563, 16665, 281, 667, 633, 4514, 883, 519, 1158, 540, 5546, 609, 713, 3337, 12805, 2534, 4586, 291, 32052, 26183, 4696, 22400, 17676, 590, 12702, 22664, 20796, 16775, 4047, 4953, 11123, 11553, 2464, 29558, 5357, 28313, 454, 3721, 1635, 5153, 12384, 12292, 2480, 1170, 528, 11314, 454, 302, 1998, 4976, 9251, 563, 4131, 779, 711, 7340, 519, 24814, 256, 901, 1863, 4976, 3091, 912, 268, 29895, 543, 2681, 538, 519, 24814, 609, 513, 1376, 12297, 281, 589, 1187, 1259, 547, 6338, 713, 1079, 8820, 3337, 563, 268, 7822, 538, 519, 2953, 3337, 281, 7402, 2227, 2471, 9251, 1453, 547, 4584, 856, 519, 24814, 1851, 1114, 7306, 540, 5546, 563, 268, 8571, 519, 24814, 281, 12694, 1762, 6267, 547, 21613, 519, 28608, 5858, 3337, 563, 291, 32052, 26183, 4696, 22400, 17676, 744, 309, 3201, 20796, 16775, 4047, 4953, 11123, 11553, 2464, 29558, 5357, 28313, 454, 3918, 6311, 20315, 4041, 20796, 16775, 4047, 4953, 11553, 2464, 29558, 5357, 454, 763, 13551, 267, 609, 922, 1079, 1279, 543, 1079, 2110, 5011, 267, 12857, 1453, 547, 1007, 5546, 543, 2035, 912, 268, 29895, 543, 2681, 538, 519, 13551, 609, 513, 1376, 12297, 281, 589, 1505, 547, 24559, 9251, 1053, 609, 5546, 540, 1114, 2450, 543, 17114, 563, 268, 7822, 538, 519, 2953, 3337, 281, 29452, 1453, 5431, 519, 13551, 9624, 2147, 5546, 563, 268, 8571, 519, 13551, 281, 30216, 3063, 2259, 538, 10063, 1424, 513, 1455, 3337, 563, 31738, 281, 1280, 1346, 16462, 811, 5546, 5751, 267, 1934, 779, 513, 535, 8172, 3515, 543, 5546, 1863, 29560, 547, 2638, 856, 563, 291, 32052, 26183, 4696, 22400, 17676, 681, 17614, 20315, 4041, 20796, 16775, 4047, 4953, 11123, 11553, 2464, 29558, 5357, 28313, 454, 2237, 667, 3925, 7433, 12814, 13317, 16707, 4518, 1504, 18014, 19405, 454, 31590, 4120, 4976, 9251, 563, 31590, 9201, 267, 609, 741, 1614, 2786, 3515, 543, 8325, 2798, 267, 616, 1776, 3078, 3337, 585, 1762, 8186, 912, 268, 29895, 543, 2681, 538, 519, 6906, 609, 513, 1376, 12297, 281, 901, 3296, 568, 782, 827, 3478, 547, 917, 519, 6906, 779, 3982, 1106, 563, 268, 7822, 538, 519, 2953, 3337, 281, 1635, 7114, 12730, 1851, 513, 3099, 540, 5546, 267, 1053, 24917, 741, 2565, 3206, 543, 1966, 9010, 1983, 563, 268, 8571, 519, 6906, 281, 14190, 338, 1453, 547, 2769, 741, 1620, 540, 519, 3337, 676, 5373, 621, 563, 291, 32052, 26183, 4696, 22400, 17676, 570, 6020, 20315, 4041, 20796, 16775, 4047, 4953, 28313, 454, 289, 517, 639, 281, 2422, 12297, 12508, 547, 1665, 519, 5546, 952, 519, 1053, 798, 711, 1616, 547, 2681, 873, 538, 563, 28885, 891, 9251, 5546, 3211, 883, 3992, 4566, 610, 607, 3606, 2238, 693, 1753, 666, 1683, 1898, 13654, 1702, 585, 1762, 3214, 269, 1358, 616, 1863, 267, 2653, 547, 946, 267, 543, 2966, 609, 9251, 543, 9656, 3214, 538, 2247, 269, 1924, 267, 952, 596, 2461, 10478, 585, 513, 3102, 1259, 547, 6338, 707, 1126, 547, 519, 1158, 540, 5546, 267, 596, 2461, 538, 519, 1318, 1747, 2336, 8855, 267, 1620, 5546, 3884, 1406, 1175, 827, 9511, 282, 621, 779, 606, 7127, 547, 1483, 1272, 267, 7493, 2035, 267, 543, 1256, 2296, 1893, 6575, 269, 2060, 891, 1863, 7792, 3211, 267, 3337, 6284, 3587, 1454, 1187, 543, 606, 2502, 1565, 1995, 269, 8414, 3450, 2336, 291, 32052, 26183, 4696, 5990, 19766, 4041, 15288, 15562, 4338, 2464, 20796, 16775, 4047, 4953, 11553, 2464, 29558, 5357, 7300, 28313, 454, 11767, 707, 4757, 2630, 547, 4647, 519, 3003, 17142, 607, 835, 7300, 610, 4647, 835, 2985, 693, 513, 942, 1657, 269, 1411, 786, 581, 593, 519, 2659, 10657, 11905, 544, 9430, 1592, 1310, 596, 4283, 707, 4757, 563, 7312, 10657, 11905, 454, 10387, 841, 281, 1496, 16942, 6870, 316, 25439, 281, 630, 8517, 264, 476, 2004, 278, 268, 275, 4817, 279, 674, 1314, 281, 630, 276, 1240, 264, 476, 28143, 268, 271, 3066, 271, 454, 268, 18014, 631, 9298, 25143, 548, 454, 268, 590, 697, 9293, 631, 9298, 25143, 548, 454, 268, 22843, 25143, 548, 454, 268, 32274, 25143, 548, 454, 268, 25609, 25143, 548, 454, 268, 594, 1975, 344, 25143, 548, 454, 268, 1684, 5025, 5937, 582, 25143, 548, 454, 268, 27413, 25143, 548, 454, 268, 631, 10248, 25143, 548, 454, 268, 25478, 25143, 548, 454, 268, 6478, 654, 8712, 25143, 548, 454, 268, 1627, 6874, 760, 27006, 25143, 548, 454, 268, 5678, 8551, 454, 268, 4317, 5525, 454, 268, 853, 269, 18536, 781, 4303, 454, 268, 27223, 781, 4303, 454, 268, 590, 697, 9293, 454, 268, 14594, 23779, 454, 268, 7089, 23779, 454, 268, 23694, 23779, 454, 268, 28743, 8274, 6452, 757, 454, 268, 28743, 8274, 645, 7451, 454, 268, 28743, 8274, 16707, 454, 268, 28743, 8274, 7433, 454, 268, 28743, 8274, 30498, 454, 268, 28743, 8274, 19554, 454, 268, 5403, 619, 1299, 932, 11301, 454, 268, 932, 1779, 4580, 5440, 11825, 454, 268, 5565, 4149, 3660, 5463, 32590, 454, 268, 32001, 1849, 902, 454, 268, 25080, 6452, 757, 454, 268, 25080, 645, 7451, 454, 268, 25080, 16707, 454, 268, 25080, 6997, 1564, 1299, 8745, 16193, 454, 268, 25080, 30498, 454, 268, 28743, 8274, 14313, 454, 268, 19554, 645, 1231, 267, 13340, 525, 1299, 2859, 454, 268, 17348, 623, 20449, 454, 268, 7732, 623, 20449, 454, 268, 11242, 267, 21998, 1299, 631, 1846, 454, 268, 18044, 21998, 454, 268, 623, 12714, 932, 11301, 454, 268, 15873, 7433, 1299, 853, 1343, 454, 268, 12409, 5403, 619, 454, 268, 22912, 919, 1299, 24547, 5557, 454, 268, 769, 1417, 633, 1299, 25166, 731, 932, 11301, 454, 268, 853, 10102, 1299, 853, 2086, 623, 6758, 454, 268, 6519, 4580, 4675, 15533, 454, 268, 932, 1779, 4580, 4675, 15533, 454, 268, 8065, 10426, 525, 454, 268, 8745, 1773, 919, 454, 268, 5753, 781, 7734, 454, 268, 4643, 1299, 16680, 7734, 454, 268, 12754, 1299, 11314, 7734, 454, 268, 14716, 7433, 454, 268, 14958, 7433, 454, 268, 14301, 7433, 454, 268, 2051, 1819, 6755, 15078, 454, 268, 14958, 853, 6506, 454, 268, 3794, 826, 1299, 1520, 1127, 1161, 454, 268, 654, 24513, 548, 28438, 454, 268, 6452, 340, 29493, 12603, 28981, 454, 268, 11875, 2581, 12603, 28981, 454, 268, 590, 11170, 1460, 12603, 28981, 454, 268, 12603, 28981, 26682, 454, 268, 667, 625, 1299, 12603, 30498, 454, 268, 853, 6621, 30498, 454, 268, 667, 965, 1299, 22110, 13088, 454, 268, 21290, 10049, 454, 268, 24484, 5696, 16640, 454, 268, 4455, 976, 1299, 3911, 4169, 454, 268, 5403, 268, 2005, 1299, 25529, 344, 11872, 454, 268, 1849, 2354, 1299, 16258, 22211, 454, 268, 853, 320, 680, 619, 1299, 853, 320, 1255, 454, 268, 570, 1901, 1299, 2598, 335, 839, 619, 454, 268, 681, 592, 619, 1299, 25732, 454, 268, 645, 785, 619, 1299, 7457, 1559, 454, 268, 30325, 5029, 9088, 1299, 7457, 1559, 454, 268, 674, 4979, 1299, 674, 1245, 619, 454, 268, 6997, 1564, 1299, 6997, 9934, 454, 268, 2398, 5793, 7433, 454, 268, 674, 14525, 7433, 454, 268, 12039, 21998, 454, 268, 6755, 15078, 1299, 7457, 1559, 454, 268, 4856, 14431, 29079, 1299, 570, 1901, 454, 268, 23239, 754, 7591, 30498, 454, 268, 23239, 754, 5253, 454, 268, 11846, 7457, 1559, 454, 268, 11846, 30498, 454, 268, 570, 878, 344, 3380, 1299, 681, 728, 14114, 985, 454, 268, 28743, 4425, 1841, 454, 268, 16959, 8210, 848, 4425, 1841, 454, 268, 22843, 681, 13903, 454, 268, 2961, 7065, 8293, 4100, 1299, 19449, 3380, 454, 268, 17781, 5384, 1299, 1530, 908, 681, 13903, 454, 268, 4303, 3249, 681, 13903, 454, 268, 18014, 681, 13903, 454, 268, 8447, 4065, 454, 268, 7066, 526, 9373, 1440, 2478, 454, 268, 2961, 335, 1115, 585, 8866, 454, 268, 23663, 517, 667, 749, 6242, 454, 268, 11819, 23095, 8249, 454, 268, 11300, 9752, 4964, 454, 268, 31780, 14539, 454, 268, 20717, 2961, 335, 1115, 454, 268, 4804, 8249, 454, 268, 12891, 2917, 8605, 687, 454, 268 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 26199, 2012, 281, 17578, 32256, 10636, 4451, 12848, 590, 1173, 563, 8448, 4408, 281, 2296, 281, 12920, 6674, 282, 5375, 12920, 6674, 454, 10481, 4919, 5169, 281, 4639, 11076, 540, 3345, 3013, 454, 306, 777, 6229, 281, 21066, 627, 7867, 982, 2295, 6229, 563, 29587, 6229, 281, 1769, 6960, 563, 293, 9200, 281, 2786, 543, 10355, 530, 8283, 563, 294, 1778, 281, 5420, 2450, 547, 11315, 563, 23322, 2065, 12889, 281, 1507, 18512, 25418, 563, 295, 4772, 15790, 18782, 543, 8470, 532, 267, 9703, 543, 10859, 7721, 10262, 281, 9885, 267, 9486, 267, 5867, 267, 2003, 324, 8240, 267, 27724, 563, 306, 777, 6229, 281, 5420, 4390, 540, 1373, 791, 27389, 730, 563, 29587, 6229, 281, 1970, 4390, 540, 1373, 791, 27389, 730, 563, 306, 1177, 532, 1184, 281, 2653, 609, 1100, 7965, 563, 291, 11538, 1184, 281, 3500, 855, 2653, 547, 4163, 856, 267, 18015, 543, 22775, 725, 616, 711, 7928, 563, 5522, 22135, 1184, 281, 1100, 7965, 563, 294, 1663, 532, 1184, 281, 1100, 7965, 563, 301, 9430, 543, 3458, 9405, 1184, 281, 1100, 7965, 563, 19226, 880, 281, 1100, 7965, 563, 7343, 1861, 5860, 693, 476, 1321, 260, 11195, 476, 21878, 4846, 8276, 274, 1769, 3574, 563, 268, 5292, 636, 13011, 19432, 11664, 476, 271, 269, 6078, 4939, 7123, 3574, 563, 268, 4039, 566, 1063, 27373, 476, 272, 269, 4037, 260, 1100, 12402, 547, 22775, 640, 563, 26773, 1145, 630, 2419, 531, 5451, 529, 5336, 324, 644, 517, 264, 476, 272, 267, 275, 2571, 6229, 563, 4910, 2700, 547, 11979, 4827, 542, 476, 278, 3199, 4846, 30763, 273, 563, 14976, 2880, 640, 9074, 476, 10482, 267, 1822, 4846, 30763, 273, 563, 4910, 2700, 547, 13496, 476, 14596, 4846, 30763, 273, 563, 2005, 666, 723, 18300, 11435, 0, 288, 12092, 568, 3152, 982, 3274, 3044, 19178, 3823, 513, 1268, 779, 1272, 269, 898, 779, 513, 2143, 2272, 540, 513, 1268, 779, 1272, 2833, 269, 589, 6915, 666, 581, 8246, 547, 1224, 811, 827, 513, 1268, 543, 849, 2744, 5813, 883, 741, 2250, 269, 589, 1979, 19212, 786, 6157, 2491, 875, 606, 1367, 16539, 741, 6689, 267, 18295, 1296, 267, 543, 849, 15296, 267, 2059, 609, 519, 18517, 543, 849, 3111, 902, 602, 8032, 873, 269, 16480, 267, 513, 12092, 666, 711, 581, 11658, 547, 3044, 18408, 563, 288, 12092, 814, 547, 798, 609, 513, 1268, 779, 1272, 607, 1134, 607, 568, 711, 513, 960, 540, 5708, 269, 898, 568, 7363, 2813, 689, 513, 3791, 1268, 1448, 540, 2070, 267, 2943, 621, 666, 581, 2813, 689, 513, 1101, 16512, 5133, 607, 1134, 269, 898, 779, 10123, 1271, 547, 1331, 1344, 593, 519, 1268, 779, 1920, 2818, 607, 1134, 607, 2069, 267, 538, 1840, 547, 1141, 789, 941, 2840, 339, 1117, 269, 4014, 513, 1979, 19212, 3884, 1406, 513, 18673, 267, 646, 610, 1352, 1058, 723, 519, 2702, 547, 4983, 519, 1915, 779, 3527, 563, 288, 12092, 666, 581, 2854, 538, 1022, 2186, 540, 2511, 543, 849, 666, 581, 513, 8313, 267, 513, 7260, 267, 610, 513, 22565, 269, 2368, 19777, 616, 849, 2854, 538, 519, 1101, 16512, 267, 607, 1134, 607, 513, 6915, 666, 581, 513, 17728, 540, 513, 1268, 269, 589, 1979, 19212, 786, 2263, 519, 1888, 779, 1272, 2949, 543, 849, 2328, 606, 2272, 540, 741, 2729, 269, 1403, 606, 2278, 814, 606, 26249, 267, 789, 666, 798, 865, 849, 269, 589, 27367, 3209, 267, 585, 3236, 267, 666, 581, 513, 12092, 563, 288, 1979, 19212, 1590, 581, 3222, 540, 519, 11029, 2906, 540, 519, 7121, 269, 901, 9135, 568, 1114, 689, 513, 3209, 2094, 513, 6915, 6212, 593, 519, 1272, 540, 513, 1888, 269, 634, 1979, 19212, 779, 10700, 6662, 568, 547, 30712, 519, 1641, 779, 1158, 543, 1599, 538, 602, 1158, 269, 1323, 2500, 6915, 11129, 547, 4431, 547, 519, 8471, 28780, 540, 922, 1641, 269, 898, 1058, 1719, 1224, 269, 898, 2115, 547, 581, 1759, 593, 519, 1367, 779, 4282, 269, 1280, 3236, 267, 513, 27367, 3209, 786, 6157, 581, 513, 3102, 2272, 540, 606, 1367, 779, 1272, 563, 2691, 621, 25701, 547, 513, 12092, 267, 621, 1590, 581, 1759, 2390, 519, 1888, 779, 1272, 269, 898, 1058, 581, 2854, 538, 519, 3355, 1367, 269, 898, 1058, 581, 4977, 543, 1850, 1043, 269, 634, 2278, 779, 2012, 1590, 711, 581, 607, 8282, 547, 519, 1641, 269, 634, 6915, 1590, 711, 581, 513, 17728, 540, 519, 5856, 779, 1272, 269, 898, 1058, 581, 513, 12092, 540, 519, 1888, 779, 1272, 269, 589, 1390, 12092, 1590, 2874, 540, 5013, 7282, 519, 1268, 779, 1686, 269, 634, 27367, 8313, 2115, 547, 849, 2874, 540, 519, 2278, 779, 1686, 267, 519, 6915, 779, 1967, 267, 607, 1134, 607, 519, 1367, 779, 1272, 563, 288, 6915, 1590, 581, 24669, 543, 849, 1134, 27787, 269, 634, 2278, 1058, 723, 519, 2702, 547, 7866, 519, 1888, 779, 1915, 269, 634, 6915, 1590, 581, 2854, 538, 519, 1360, 1101, 1268, 269, 634, 2278, 2115, 547, 581, 2111, 547, 1118, 519, 13588, 2731, 1745, 635, 325, 344, 609, 519, 1641, 269, 634, 5856, 2115, 547, 581, 2111, 547, 4766, 519, 1641, 779, 9342, 607, 1134, 607, 4617, 2798, 269, 16480, 267, 646, 2115, 547, 581, 2111, 547, 1118, 519, 5467, 1745, 607, 952, 1352, 610, 646, 14509, 1010, 1378, 1272, 563, 763, 2165, 968, 321, 1470, 892, 5267, 513, 12092, 540, 513, 1268, 779, 1272, 269, 898, 2501, 689, 519, 5824, 2262, 267, 3113, 807, 267, 799, 1797, 1272, 269, 769, 513, 6915, 267, 519, 2278, 568, 7234, 519, 5856, 779, 2833, 269, 1280, 1383, 267, 519, 5856, 779, 2833, 616, 3838, 609, 519, 21233, 269, 634, 6915, 568, 606, 2272, 540, 519, 5856, 779, 2833, 269, 898, 1058, 11338, 1331, 513, 6609, 540, 519, 5856, 779, 7209, 269, 1403, 519, 2278, 568, 513, 4775, 267, 1200, 17728, 1590, 581, 2854, 538, 519, 1360, 1101, 1367, 563, 288, 6915, 568, 513, 1875, 325, 12302, 2272, 540, 2576, 779, 1272, 269, 898, 1590, 1217, 519, 5467, 602, 519, 1268, 779, 1272, 729, 5030, 676, 835, 811, 1367, 269, 634, 2278, 11129, 547, 581, 3551, 3823, 519, 1344, 540, 519, 1272, 540, 519, 1641, 269, 1403, 519, 5856, 568, 513, 4807, 267, 1352, 1058, 581, 5168, 995, 269, 2701, 1058, 711, 2995, 1200, 9661, 547, 519, 3077, 2344, 267, 855, 3079, 267, 1352, 1590, 2285, 519, 3877, 827, 9887, 269, 634, 1979, 19212, 1590, 711, 1118, 16912, 6877, 827, 1200, 7209, 563, 288, 6915, 568, 606, 2272, 540, 513, 1268, 779, 1272, 269, 898, 6941, 513, 1268, 779, 4282, 538, 513, 6626, 2796, 982, 519, 1641, 779, 1272, 269, 589, 1979, 19212, 568, 606, 2278, 602, 814, 2965, 5030, 513, 1272, 267, 855, 814, 4957, 602, 269, 2701, 1058, 849, 723, 513, 2312, 1620, 540, 519, 1367, 779, 2250, 267, 607, 621, 568, 2629, 547, 1174, 1200, 1272, 269, 2701, 11129, 547, 5431, 1919, 602, 616, 1360, 1271, 547, 1864, 269, 1403, 646, 779, 711, 267, 1310, 602, 1352, 12582, 1406, 2328, 519, 12092, 563, 288, 6915, 666, 581, 513, 6648, 610, 513, 4670, 269, 634, 2278, 11129, 547, 581, 3551, 827, 519, 1367, 779, 1272, 269, 634, 1433, 2115, 547, 10123, 581, 513, 973, 777, 540, 1010, 1967, 269, 634, 2278, 1590, 1331, 1010, 610, 1200, 18454, 269, 589, 1979, 19212, 1590, 581, 25442, 538, 1010, 610, 1200, 960, 269, 589, 27367, 2272, 2115, 547, 581, 4570, 543, 3169, 269, 1703, 616, 1100, 3877, 602, 1522, 581, 25619, 269, 589, 12092, 2115, 547, 2760, 581, 11830, 5367, 269, 898, 1590, 581, 513, 5758, 540, 519, 1268, 779, 1272, 267, 607, 621, 568, 519, 1888, 540, 519, 1650, 563, 288, 6915, 568, 513, 3102, 2272, 540, 513, 1268, 779, 1272, 269, 898, 2488, 606, 1620, 1318, 883, 519, 1272, 540, 606, 1367, 676, 10223, 519, 14026, 602, 723, 2965, 8032, 1010, 610, 1200, 1272, 269, 634, 6915, 568, 811, 982, 606, 2653, 2594, 540, 14026, 269, 898, 5161, 540, 519, 1367, 779, 2833, 2059, 609, 519, 4909, 19178, 540, 1010, 610, 1200, 1272, 269, 1703, 616, 513, 1297, 540, 2010, 540, 22808, 269, 589, 1979, 19212, 786, 723, 519, 2702, 547, 3132, 513, 27367, 2272, 540, 1022, 2186, 540, 1268, 563, 763, 10700, 6662, 540, 513, 1979, 19212, 568, 547, 30712, 519, 1888, 779, 1272, 543, 849, 12172, 1010, 610, 1200, 1599, 538, 2528, 269, 589, 12092, 568, 1114, 689, 513, 5708, 1813, 547, 519, 1249, 602, 621, 568, 1759, 2390, 519, 1272, 540, 606, 1367, 269, 898, 568, 513, 1875, 27395, 2272, 540, 519, 1367, 779, 1272, 269, 11048, 267, 930, 7260, 13915, 8263, 602, 513, 6915, 568, 22290, 12638, 269, 634, 1249, 568, 602, 22808, 616, 513, 7121, 540, 1875, 27395, 12326, 563, 2467, 616, 6266, 540, 2010, 540, 22808, 269, 2368, 616, 2854, 538, 26567, 1931, 543, 849, 1866, 616, 6896, 676, 2629, 2093, 543, 849, 6163, 269, 769, 513, 1979, 19212, 779, 12092, 267, 519, 13588, 568, 2356, 2111, 547, 3605, 519, 1367, 779, 1272, 543, 849, 1175, 875, 621, 12936, 1010, 610, 1200, 1272, 269, 898, 568, 513, 6325, 1505, 585, 23478, 2796, 547, 606, 1367, 779, 1272, 269, 901, 4480, 568, 1419, 513, 2603, 811, 3532, 982, 21882, 513, 1650, 269, 634, 21233, 666, 1995, 519, 1272, 540, 606, 1367, 998, 741, 19777, 269, 25873, 1472, 713, 3135, 454, 24552, 12092, 729, 1101, 1031, 538, 476, 4510, 645, 5861, 269, 676, 5259, 607, 1134, 607, 12266, 15023, 269, 898, 568, 519, 2413, 1106, 540, 8978, 15923, 269, 634, 2165, 1979, 19212, 814, 2965, 27636, 609, 942, 269, 2368, 12206, 723, 2965, 1572, 1979, 20802, 968, 10043, 11155, 13807, 698, 3511, 1235, 2223, 543, 849, 513, 7008, 540, 616, 1134, 8153, 1979, 20802, 269, 901, 2511, 568, 4867, 513, 2603, 811, 11342, 538, 7262, 5339, 1568, 269, 898, 11338, 814, 8129, 538, 519, 2025, 5681, 518, 1014, 19416, 16500, 31521, 327, 269, 589, 5259, 14787, 267, 1773, 583, 1105, 267, 5206, 606, 11141, 10747, 519, 2729, 540, 3879, 686, 748, 12325, 269, 0, 288, 6915, 568, 513, 3102, 6609, 540, 513, 1268, 779, 1272, 269, 898, 814, 811, 982, 3044, 5013, 267, 855, 849, 3877, 540, 519, 1268, 779, 1367, 2833, 540, 1978, 2621, 269, 6787, 519, 1367, 729, 513, 2442, 2797, 6205, 610, 3274, 513, 2834, 1367, 267, 513, 12092, 27875, 513, 2603, 827, 2043, 945, 4646, 741, 2729, 269, 15439, 2322, 267, 513, 12092, 568, 513, 1360, 3407, 2707, 269, 634, 20170, 547, 616, 513, 1906, 8320, 540, 4241, 19777, 563, 763, 14046, 12092, 568, 519, 1034, 2148, 622, 2186, 540, 6915, 269, 9521, 513, 2442, 2272, 267, 14046, 22808, 616, 8499, 11567, 269, 634, 2959, 616, 7396, 538, 12190, 13132, 607, 1134, 607, 4967, 269, 634, 1641, 779, 1272, 568, 7363, 3964, 12225, 10999, 269, 634, 6575, 540, 3903, 616, 4749, 1500, 946, 540, 547, 3132, 513, 811, 538, 3829, 6915, 269, 9182, 267, 4081, 22808, 616, 3622, 10053, 543, 849, 723, 8766, 19259, 3544, 519, 1158, 540, 3318, 1382, 269, 11048, 267, 621, 568, 606, 11108, 4781, 585, 513, 6915, 563, 24552, 6915, 729, 1101, 1500, 946, 540, 547, 2697, 1114, 5686, 540, 12092, 1603, 269, 634, 476, 1704, 628, 2540, 729, 513, 942, 540, 17634, 607, 1134, 607, 7041, 269, 634, 1977, 10125, 3323, 10451, 3262, 27367, 4305, 267, 855, 713, 729, 711, 513, 1279, 3856, 4806, 269, 634, 476, 866, 628, 2540, 4718, 519, 2333, 540, 2413, 6915, 267, 2943, 713, 1007, 2511, 729, 711, 607, 9565, 607, 621, 568, 2221, 269, 634, 7121, 729, 1869, 538, 922, 2038, 3942, 269, 901, 729, 519, 5736, 540, 519, 4332, 540, 519, 4950, 267, 799, 19117, 519, 1603, 540, 27367, 1568, 563, 288, 6915, 666, 581, 606, 705, 27554, 8390, 540, 606, 4540, 2816, 540, 5339, 1568, 267, 610, 621, 666, 581, 513, 2239, 540, 606, 1367, 779, 1272, 269, 634, 7121, 540, 519, 12092, 9775, 14320, 269, 2368, 5686, 616, 5941, 2713, 1004, 282, 1866, 616, 4988, 21549, 2043, 269, 17859, 267, 519, 6915, 568, 513, 2123, 2272, 540, 519, 5856, 779, 2833, 269, 4706, 1967, 5673, 2390, 519, 2278, 779, 5578, 538, 2870, 543, 1382, 269, 744, 1111, 550, 1307, 267, 513, 1979, 19212, 786, 30712, 741, 1888, 779, 1158, 267, 607, 1134, 607, 2491, 1010, 17017, 1599, 538, 519, 2486, 563, 1103, 1840, 547, 27367, 1568, 267, 972, 616, 1585, 824, 12204, 540, 27367, 12326, 269, 634, 3355, 568, 519, 27367, 960, 540, 513, 1268, 269, 898, 568, 513, 960 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8815, 593, 1945, 602, 2640, 1312, 540, 596, 543, 8952, 707, 11505, 2178, 780, 1103, 519, 1482, 1259, 267, 519, 1004, 945, 9896, 519, 15521, 540, 12411, 320, 14792, 16219, 547, 1521, 1142, 824, 23182, 267, 1175, 899, 875, 596, 543, 707, 3659, 4956, 547, 2671, 519, 11442, 1286, 269, 1809, 3006, 1256, 950, 4079, 1118, 14767, 267, 1919, 1810, 1405, 2141, 979, 607, 9709, 269, 2368, 1004, 1522, 7340, 610, 3442, 711, 547, 1246, 519, 3652, 1305, 676, 519, 14097, 269, 1879, 713, 4523, 267, 7526, 949, 8451, 2899, 811, 269, 1677, 2057, 971, 3871, 267, 2792, 543, 1620, 616, 2629, 910, 1454, 899, 6158, 543, 6947, 547, 707, 3659, 1354, 14045, 1018, 3014, 547, 1404, 1985, 2439, 4131, 781, 1589, 1394, 547, 938, 1383, 269, 5994, 952, 596, 13264, 707, 9153, 547, 2671, 519, 11442, 1286, 282, 5310, 707, 3659, 9327, 1405, 1616, 547, 1404, 609, 596, 15042, 269, 6684, 267, 930, 2477, 5433, 602, 1866, 4769, 1405, 6529, 547, 519, 11650, 9788, 856, 538, 519, 15521, 540, 12411, 320, 14792, 269, 1452, 4606, 3366, 547, 10413, 267, 10845, 267, 543, 5555, 267, 1776, 5458, 4655, 1634, 607, 2622, 2782, 4083, 780, 3719, 9939, 1176, 267, 2221, 649, 2661, 538, 4708, 267, 1565, 3407, 4245, 689, 1686, 269, 1284, 1174, 519, 2956, 540, 5329, 938, 14767, 543, 8156, 835, 1776, 24963, 269, 1924, 3314, 267, 2436, 621, 781, 4687, 9162, 610, 18245, 1866, 262, 2924, 267, 1169, 2962, 12523, 2509, 2870, 513, 12560, 1604, 1141, 3025, 7959, 6126, 267, 5150, 267, 543, 12595, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 13775, 4873, 476, 272, 267, 476, 1001, 276, 454, 763, 18321, 24234, 17072, 568, 513, 10859, 268, 2335, 783, 10554, 799, 6770, 1927, 513, 2824, 1895, 540, 476, 736, 25422, 15197, 20859, 609, 476, 274, 268, 276, 13747, 5640, 593, 2127, 540, 4984, 267, 6214, 1299, 1857, 1272, 563, 28317, 16241, 15863, 547, 16241, 20222, 7536, 21026, 16047, 267, 8419, 454, 305, 629, 6798, 7083, 22189, 590, 2931, 267, 519, 769, 613, 321, 3073, 543, 594, 571, 681, 3317, 1068, 6820, 31692, 1639, 7905, 540, 7225, 24191, 23539, 693, 1715, 3840, 2160, 543, 519, 918, 637, 1088, 543, 661, 874, 7806, 7731, 2160, 7905, 540, 6014, 23539, 693, 8786, 327, 10216, 2160, 454, 300, 2975, 11190, 5085, 595, 15375, 2752, 2316, 292, 281, 4270, 267, 621, 779, 513, 8748, 8956, 543, 513, 1390, 17979, 267, 543, 596, 782, 723, 1185, 519, 4316, 547, 1413, 693, 15887, 6798, 590, 2931, 779, 1007, 1433, 269, 1656, 649, 4076, 1044, 3843, 547, 723, 15887, 6798, 590, 2931, 1934, 585, 1896, 1296, 1631, 267, 543, 649, 941, 6368, 2111, 547, 960, 856, 938, 16131, 269, 1261, 568, 513, 812, 538, 1390, 3747, 267, 607, 596, 666, 4952, 267, 1472, 519, 1158, 267, 855, 649, 2461, 4278, 2683, 602, 646, 814, 1336, 942, 547, 581, 609, 721, 693, 519, 18321, 24234, 17072, 563, 305, 629, 6798, 590, 2931, 814, 476, 1626, 8956, 776, 5232, 269, 11788, 10579, 25414, 2349, 1515, 1572, 18222, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 307, 805, 344, 540, 12411, 320, 14792, 543, 2991, 4118, 257, 607, 851, 540, 834, 19615, 1315, 12668, 1299, 4762, 26555, 1315, 2622, 2782, 594, 2580, 6098, 693, 476, 276, 4458, 6040, 1453, 609, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650, 1058, 946, 2241, 2474, 267, 543, 8499, 2491, 1360, 2596, 1344, 827, 2168, 543, 1480, 4205, 269, 2422, 2653, 3562, 17000, 1806, 543, 6451, 2055, 513, 476, 276, 4458, 6040, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269, 0, 28982, 972, 256, 5620, 596, 2479, 9289, 1946, 1004, 3006, 1118, 1114, 5079, 950, 621, 2501, 547, 1373, 2186, 610, 4023, 286, 2107, 875, 649, 1451, 547, 2995, 1318, 689, 4636, 286, 1452, 2055, 723, 19832, 16895, 585, 1082, 1296, 267, 3056, 873, 547, 1353, 5837, 1646, 1107, 602, 781, 875, 938, 2631, 540, 1318, 543, 4636, 9428, 543, 2242, 936, 942, 256, 2913, 781, 2263, 713, 4277, 1888, 1927, 780, 5331, 596, 1265, 513, 1269, 1015, 3915, 14084, 593, 519, 2666, 693, 1153, 269, 1548, 1131, 596, 798, 286, 14348, 596, 1832, 621, 585, 3054, 267, 610, 1413, 1472, 585, 922, 8227, 286, 2659, 3375, 1522, 4096, 593, 1896, 1919, 899, 707, 2085, 267, 2828, 267, 1920, 2418, 267, 543, 1256, 1018, 596, 1589, 1866, 1131, 798, 269, 1306, 1453, 1332, 909, 267, 789, 1020, 26069, 1759, 593, 891, 2188, 543, 811, 269, 1924, 1577, 781, 1294, 875, 713, 4241, 1184, 1568, 2439, 2467, 616, 1614, 1292, 5933, 540, 5837, 1646, 4330, 676, 18039, 918, 2129, 331, 6199, 267, 513, 4583, 18673, 945, 6594, 875, 3214, 543, 4079, 1174, 1318, 543, 4636, 269, 1284, 786, 1445, 593, 1079, 2038, 5933, 2094, 1346, 4019, 1732, 547, 1647, 30595, 899, 596, 269, 9462, 502, 488, 692, 1262, 25111, 476, 272, 910, 5136, 17171, 543, 15722, 7321, 630, 21848, 476, 275, 268, 1015, 264, 12533, 4263, 713, 3942, 267, 1453, 1246, 3652, 1317, 789, 4250, 10751, 610, 1616, 12587, 269, 1280, 1383, 267, 952, 596, 1810, 1405, 2973, 707, 4055, 267, 596, 949, 6336, 3381, 3014, 22864, 282, 865, 267, 596, 22619, 344, 909, 3533, 256, 5651, 1275, 568, 2938, 607, 6207, 543, 17946, 4474, 269, 1411, 3494, 602, 1978, 3527, 616, 1175, 10750, 1412, 342, 3994, 3299, 1100, 2339, 519, 3510, 780, 1262, 25111, 476, 273, 910, 10572, 1143, 543, 16510, 630, 21848, 476, 280, 268, 1626, 264, 12533, 1103, 713, 2034, 3942, 267, 3214, 1376, 3206, 827, 1018, 781, 4023, 543, 15490, 269, 1358, 8275, 602, 4543, 1866, 1223, 1291, 547, 23483, 2640, 267, 2495, 789, 2503, 1945, 538, 2132, 269, 5994, 4687, 707, 12899, 609, 513, 3659, 945, 29709, 741, 338, 2221, 282, 6148, 14182, 789, 786, 2671, 609, 596, 950, 596, 7340, 16523, 256, 2311, 713, 1448, 267, 2043, 2253, 6236, 2789, 5380, 1354, 1818, 3664, 780, 3086, 602, 649, 917, 827, 891, 5933, 267, 3314, 602, 3025, 22264, 998, 873, 8335, 269, 2368, 1004, 949, 3251, 3476, 693, 835, 3942, 982, 1866, 267, 1247, 930, 18178, 5933, 7357, 256, 4746, 267, 7680, 1585, 4529, 543, 5054, 7506, 938, 2208, 1932, 269, 1635, 1620, 5837, 1646, 267, 649, 1831, 811, 3222, 540, 6000, 543, 28450, 2509, 1866, 780, 3383, 1985, 942, 596, 3068, 513, 14196, 267, 1491, 513, 4090, 547, 2015, 1018, 3942, 540, 5837, 1646, 596, 616, 1210, 547, 6430, 269, 3657, 596, 1739, 3652, 856, 540, 4250, 610, 8007, 286, 2107, 616, 596, 14719, 908, 14619, 543, 1367, 2115, 286, 5901, 3695, 543, 1565, 267, 543, 2972, 12423, 519, 5863, 1158, 540, 6530, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 1655, 6530, 18544, 3292, 1683, 20021, 609, 513, 3984, 540, 3255, 547, 4434, 741, 11678, 543, 7118, 513, 2362, 14057, 269, 932, 1734, 616, 1434, 267, 952, 596, 2461, 3257, 606, 5769, 3406, 585, 519, 1655, 6530, 4487, 779, 3292, 267, 596, 4076, 5462, 707, 2104, 4876, 610, 616, 16462, 547, 4434, 707, 4876, 2619, 269, 11109, 513, 9457, 540, 8551, 610, 9457, 540, 3163, 538, 10017, 666, 2990, 596, 585, 513, 3099, 540, 5140, 11678, 2687, 547, 519, 1977, 16723, 5948, 779, 19396, 6651, 269, 898, 779, 849, 606, 5140, 5748, 585, 513, 12854, 563, 16032, 2657, 26440, 4181, 814, 22646, 1153, 7270, 543, 5697, 930, 540, 519, 1655, 6530, 4110, 3292, 547, 948, 538, 707, 10927, 1982, 3406, 269, 901, 20823, 568, 27772, 547, 2285, 596, 513, 2489, 2856, 540, 1982, 6030, 267, 16075, 4170, 267, 1942, 267, 3092, 269, 585, 10790, 610, 9049, 3292, 543, 2059, 609, 3606, 1153, 6402, 269, 18734, 543, 3486, 1053, 616, 7608, 676, 1034, 3506, 267, 2705, 519, 11673, 1934, 1152, 2689, 519, 16075, 4170, 585, 772, 2529, 269, 3632, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 300, 7394, 4886, 257, 607, 851, 540, 834, 25787, 1315, 25833, 1315, 17151, 525, 3966, 4886, 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, 634, 7613, 540, 14382, 3191, 568, 1950, 543, 15491, 267, 5473, 1585, 1514, 267, 2804, 267, 543, 2797, 2188, 269, 2290, 2565, 2460, 540, 713, 3390, 568, 4008, 543, 1379, 6384, 269, 1677, 1174, 713, 1523, 4628, 267, 621, 781, 1898, 547, 4983, 875, 6848, 6788, 543, 8155, 1472, 4008, 3565, 547, 519, 10419, 6672, 540, 14382, 3191, 543, 3310, 519, 3892, 540, 1379, 1369, 3023, 960, 3347, 780, 2414, 2253, 267, 1577, 781, 2015, 519, 2081, 538, 799, 4008, 5107, 3337, 519, 3747, 585, 5010, 3023, 269, 25214, 267, 2367, 723, 1044, 811, 2693, 982, 2021, 547, 6718, 4638, 2533, 267, 10452, 6626, 2686, 8456, 827, 5256, 1303, 1856, 618, 547, 3023, 543, 4775, 7449, 969, 1466, 269, 1452, 8456, 666, 581, 14360, 1394, 547, 30013, 3889, 602, 9886, 2367, 3152, 1514, 543, 2804, 1379, 982, 2021, 269, 1306, 513, 1267, 267, 2367, 1419, 2070, 2021, 607, 3615, 547, 581, 11751, 543, 4421, 267, 7700, 547, 519, 12796, 2305, 540, 4775, 4703, 538, 519, 3023, 4123, 780, 11101, 267, 28963, 1063, 4008, 543, 824, 3029, 540, 8635, 267, 971, 607, 5198, 267, 1362, 267, 543, 22874, 267, 2417, 635, 12393, 1379, 6384, 1369, 14382, 3191, 269, 1280, 1383, 267, 1382, 5267, 602, 2021, 540, 2681, 543, 1346, 689, 2539, 14227, 10080, 616, 25409, 6719, 538, 519, 3023, 2872, 267, 6849, 3606, 7496, 547, 14827, 1813, 547, 3908, 7694, 3255, 543, 11528, 7130, 269, 6684, 267, 27540, 4600, 949, 581, 3226, 7925, 547, 14226, 676, 533, 31663, 543, 911, 742, 1157, 619, 945, 1491, 5413, 540, 741, 3348, 13895, 3656, 4567, 543, 3668, 540, 1569, 547, 2200, 780, 763, 2078, 1063, 4008, 543, 1379, 849, 5546, 519, 2833, 540, 2043, 7722, 538, 3023, 960, 269, 2755, 930, 1004, 949, 3442, 547, 4283, 519, 3924, 32380, 267, 1082, 1866, 798, 865, 856, 540, 13766, 267, 9141, 676, 6710, 267, 26683, 267, 610, 3668, 540, 4244, 4747, 2959, 269, 17859, 540, 8404, 267, 2705, 267, 782, 3023, 4600, 3068, 16663, 543, 30886, 267, 12615, 908, 4540, 1379, 20817, 543, 12145, 741, 2702, 547, 3343, 1489, 610, 4027, 269, 5015, 267, 7803, 1436, 540, 3023, 960, 538, 1082, 22875, 3762, 4600, 693, 1981, 540, 10654, 267, 5208, 267, 543, 6057, 267, 17923, 9979, 540, 15746, 543, 13438, 780, 1103, 5466, 4008, 543, 1379, 6384, 1369, 14382, 3191, 267, 1896, 4485, 723, 7153, 269, 2368, 12167, 585, 1232, 17964, 1944, 3023, 960, 267, 19163, 602, 3257, 865, 1131, 2569, 2800, 543, 2333, 3106, 585, 4600, 676, 3850, 873, 547, 7500, 16155, 543, 1569, 2556, 2200, 269, 11524, 8044, 585, 20552, 626, 4507, 6322, 693, 16701, 21899, 519, 3023, 4123, 7357, 267, 13156, 621, 607, 20244, 7518, 5511, 543, 632, 16058, 1944, 269, 12846, 267, 1866, 3895, 2800, 5786, 2994, 5059, 593, 3246, 1072, 1416, 267, 13508, 267, 543, 824, 11215, 2533, 547, 3023, 4600, 1510, 10385, 610, 5837, 2065, 10054, 780, 27407, 267, 1022, 1935, 547, 5466, 4008, 543, 1379, 6384, 1369, 14382, 3191, 1590, 5431, 519, 6988, 540, 519, 3390, 543, 4099, 519, 9739, 543, 2833, 540, 1346, 1034, 4299, 269, 1635, 2502, 538, 5571, 5188, 543, 9691, 6313, 938, 1378, 12886, 543, 10054, 267, 649, 666, 2253, 547, 1628, 513, 811, 12581, 2486, 1141, 782, 2043, 723, 519, 4316, 547, 2661, 1863, 689, 14226, 543, 15746, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 9767, 978, 9259, 540, 4647, 543, 2575, 267, 476, 274, 267, 476, 10602, 268, 3199, 269, 1761, 7662, 540, 7662, 540, 2534, 540, 513, 7260, 575, 2273, 548, 540, 8004, 23897, 1343, 269, 18293, 281, 6739, 3557, 11780, 7232, 5677, 2160, 267, 476, 27768, 32726, 9448, 2596, 28743, 540, 1382, 18715, 269, 6114, 543, 2833, 585, 1818, 540, 5098, 543, 9086, 540, 519, 1433, 1505, 269, 607, 267, 4647, 3947, 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 ]
[ 899, 1282, 513, 7088, 538, 519, 1647, 540, 519, 5836, 269, 1284, 3357, 883, 519, 1362, 547, 1265, 16996, 799, 649, 1185, 547, 1205, 593, 543, 649, 1223, 5873, 18555, 2287, 19711, 538, 519, 4282, 269, 1284, 2877, 547, 4737, 938, 16996, 547, 9101, 689, 519, 897, 1601, 531, 12354, 22455, 609, 30437, 4064, 2336, 1103, 938, 11300, 15099, 267, 649, 4312, 3323, 938, 1007, 2257, 1888, 269, 1284, 5645, 856, 606, 7634, 609, 11442, 6517, 547, 1294, 799, 2326, 1131, 948, 519, 6517, 979, 9663, 1492, 560, 950, 789, 941, 1577, 1524, 513, 19856, 269, 1284, 10150, 7446, 519, 1114, 2326, 547, 8495, 609, 543, 7893, 547, 1294, 875, 2484, 519, 6517, 4682, 563, 28606, 17067, 538, 519, 3018, 267, 649, 4682, 547, 519, 5399, 547, 3643, 11427, 7338, 269, 1284, 1224, 543, 3838, 513, 1433, 609, 1312, 1200, 543, 1866, 538, 519, 1362, 269, 1284, 17329, 938, 6640, 1317, 649, 1589, 519, 5399, 568, 1187, 543, 2027, 269, 3767, 602, 649, 2811, 538, 6206, 8609, 476, 273, 267, 930, 540, 721, 3323, 547, 1413, 693, 519, 3476, 543, 8273, 2835, 563, 2171, 2811, 3168, 4464, 547, 1985, 3018, 2907, 2336, 347, 16829, 676, 281, 634, 11334, 1475, 517, 281, 476, 6021, 270, 6021, 270, 1001, 277, 2008, 1607, 3018, 649, 4797, 547, 1451, 827, 634, 2961, 333, 2526, 540, 519, 12292, 2575, 676, 6682, 4068, 15223, 839, 4149, 5593, 267, 855, 713, 942, 267, 649, 10272, 634, 853, 600, 5112, 4270, 663, 9142, 547, 1404, 7405, 269, 11109, 14478, 513, 2773, 676, 606, 32316, 519, 3105, 3018, 267, 649, 3773, 938, 1378, 4992, 267, 3206, 827, 519, 3432, 267, 12334, 543, 11733, 540, 938, 1445, 3662, 563, 12812, 593, 713, 3095, 952, 596, 1131, 899, 547, 2972, 938, 1445, 2575, 563, 347, 16829, 676, 281, 634, 11334, 1475, 517, 281, 476, 1428, 270, 5881, 270, 1001, 277, 2008, 2414, 2253, 938, 3803, 1888, 540, 519, 1032, 267, 2961, 333, 2526, 540, 519, 12292, 267, 6206, 8609, 2290, 10272, 519, 31920, 13812, 5244, 538, 5213, 322, 2120, 269, 2311, 519, 4098, 540, 519, 1554, 267, 519, 4365, 1705, 2370, 547, 22321, 519, 2831, 547, 4734, 741, 24181, 267, 855, 607, 519, 1554, 27636, 267, 519, 3141, 3357, 856, 543, 2059, 609, 621, 267, 782, 519, 2831, 269, 898, 729, 513, 8748, 1995, 547, 1294, 971, 513, 2039, 540, 2831, 689, 1472, 519, 1158, 538, 971, 2673, 16133, 543, 519, 1453, 2322, 741, 2706, 2542, 1983, 547, 519, 1449, 543, 1336, 856, 6266, 540, 5013, 689, 519, 1344, 12545, 1472, 519, 6288, 563, 347, 16829, 676, 281, 634, 11334, 1475, 517, 281, 476, 1839, 270, 6187, 270, 1001, 277, 2008, 1607, 3018, 267, 649, 723, 2219, 827, 1018, 1223, 723, 5949, 1310, 654, 4883, 773, 7308, 6261, 5622, 5795, 519, 10348, 513, 14512, 10516, 269, 1284, 16545, 602, 538, 3210, 267, 519, 10348, 2366, 606, 27592, 547, 835, 540, 1200, 4677, 6105, 693, 21207, 532, 5069, 20066, 543, 1287, 649, 5206, 2984, 827, 519, 9035, 602, 3576, 1747, 269, 28522, 2280, 3893, 4503, 15029, 3168, 585, 519, 16003, 543, 8694, 909, 9361, 593, 519, 17599, 256, 654, 4883, 773, 7308, 6261, 5622, 12628, 513, 9932, 26889, 543, 519, 10348, 2893, 593, 621, 269, 28522, 2280, 3893, 5645, 2476, 950, 513, 31830, 540, 2842, 9575, 3180, 540, 519, 17891, 646, 729, 8066, 543, 729, 11324, 4240, 676, 519, 10348, 781, 22651, 269, 1924, 1082, 8748, 9035, 563, 347, 16829, 676, 281, 634, 11334, 1475, 517, 281, 476, 1839, 270, 6187, 270, 1001, 277, 2008, 1607, 3018, 649, 8678, 538, 609, 519, 3084, 16873, 543, 1185, 938, 1378, 12784, 7401, 5428, 547, 8661, 519, 4745, 476, 3445, 628, 4332, 17058, 540, 654, 4883, 773, 7308, 6261, 334, 2129, 543, 10348, 10906, 4083, 563, 6524, 649, 1223, 2253, 938, 5428, 267, 649, 1185, 6266, 540, 9932, 543, 29475, 543, 8645, 10381, 32409, 547, 1118, 563, 5475, 12899, 267, 519, 1187, 3459, 563, 2171, 10150, 3905, 267, 12765, 1229, 547, 770, 543, 1835, 2794, 1115, 630, 13731, 9372, 28120, 781, 2856, 1070, 4553, 676, 9932, 32409, 630, 310, 4883, 773, 7308, 6261, 334, 2129, 781, 2856, 264, 543, 29475, 543, 8645, 10381, 32409, 630, 6518, 649, 2219, 519, 10348, 1131, 899, 1070, 18138, 1055, 609, 521, 935, 525, 609, 25888, 543, 8645, 543, 18899, 14735, 267, 607, 1134, 607, 20909, 30103, 2367, 267, 782, 18233, 1524, 609, 513, 7484, 540, 7401, 563, 2252, 596, 1131, 899, 547, 2972, 13343, 16340, 321, 550, 2542, 938, 8141, 585, 713, 2534, 267, 654, 4883, 773, 7308, 6261, 334, 2129, 543, 519, 9576, 17510, 1485, 267, 1246, 713, 3095, 563, 347, 16829, 676, 281, 634, 11334, 1475, 517, 281, 476, 1321, 270, 6187, 270, 1001, 277, 2008, 5475, 513, 9589, 1376, 547, 938, 3018, 8384, 519, 10266, 1540, 15248, 17984, 10836, 689, 741, 9279, 9398, 267, 649, 1767, 606, 3929, 24214, 6202, 593, 11016, 12784, 950, 649, 5950, 873, 563, 19602, 267, 938, 512, 611, 335, 3421, 616, 3395, 3728, 543, 1631, 723, 1394, 7953, 2336, 290, 4040, 909, 3267, 10987, 543, 729, 1186, 2336, 347, 16829, 676, 281, 634, 11334, 1475, 517, 281, 476, 1428, 270, 4962, 270, 1001, 277, 2008, 1607, 3018, 649, 723, 1044, 4466, 856, 782, 827, 22376, 7714, 543, 25658, 269, 9894, 596, 917, 602, 519, 2220, 597, 3149, 593, 513, 2879, 841, 781, 7387, 616, 1572, 627, 528, 3149, 543, 602, 513, 1762, 2879, 841, 814, 1079, 267, 15029, 606, 2937, 2879, 841, 814, 2947, 888, 2171, 723, 10150, 10655, 25658, 543, 741, 16115, 543, 4974, 873, 811, 5702, 538, 519, 4928, 563, 1103, 2296, 267, 649, 723, 1044, 1565, 2994, 547, 22321, 1004, 547, 1224, 938, 19463, 27813, 667, 4689, 1091, 517, 1433, 563, 296, 6415, 2386, 596, 786, 3858, 267, 602, 634, 10965, 841, 543, 519, 1733, 1446, 568, 513, 1433, 596, 1175, 7948, 1405, 7654, 4413, 519, 4316, 547, 2972, 2336, 347, 16829, 676, 281, 634, 11334, 1475, 517, 281, 476, 5400, 270, 4962, 270, 1001, 277, 2008, 12441, 596, 917, 602, 521, 18150, 568, 513, 4630, 25869, 286, 1284, 2731, 2972, 4466, 1913, 602, 3280, 519, 1482, 855, 723, 1114, 10096, 538, 5729, 476, 272, 270, 273, 543, 713, 3018, 649, 1336, 856, 602, 711, 1152, 568, 513, 521, 18150, 1945, 602, 596, 1747, 593, 513, 7504, 781, 1394, 855, 568, 849, 513, 1259, 540, 7114, 606, 2937, 3618, 11988, 267, 1317, 1152, 789, 723, 835, 10126, 3677, 982, 519, 1964, 543, 621, 781, 1572, 513, 521, 18150, 256, 1284, 723, 1500, 702, 1067, 625, 865, 602, 649, 666, 7747, 3618, 19095, 538, 2962, 563, 4002, 13628, 267, 649, 4682, 547, 661, 326, 13987, 7186, 15944, 693, 31089, 1633, 4826, 1141, 649, 3773, 547, 938, 3395, 1702, 827, 1295, 32079, 6814, 998, 11432, 1019, 6137, 543, 17079, 10122, 2238, 563, 2171, 1031, 606, 8446, 5750, 547, 1265, 856, 1018, 649, 1185, 9575, 538, 519, 11432, 543, 649, 15044, 519, 12961, 649, 1336, 883, 24549, 2803, 267, 23097, 2803, 543, 9631, 16622, 2803, 563, 7212, 621, 7012, 1405, 538, 519, 1121, 527, 540, 938, 1888, 267, 621, 8604, 513, 17847, 547, 979, 547, 513, 2470, 15395, 543, 711, 7747, 782, 519, 11317, 543, 865, 649, 849, 7307, 547, 3514, 538, 513, 6177, 8384, 8400, 267, 1141, 649, 1185, 547, 1694, 2731, 23900, 538, 513, 12404, 543, 649, 4718, 513, 2039, 540, 5017, 602, 941, 849, 11981, 1373, 693, 31089, 1633, 4826, 267, 930, 540, 7247, 1185, 24964, 1454, 2417, 982, 721, 547, 1205, 972, 269, 1809, 519, 1655, 3787, 729, 1210, 1483, 10822, 22811, 338, 2336, 3383, 607, 952, 602, 7012, 1405, 2614, 585, 835, 3018, 267, 649, 3893, 1776, 2731, 1271, 2816, 2944, 269, 634, 5614, 15620, 649, 12630, 538, 5181, 616, 1631, 538, 2407, 16036, 543, 3168, 17681, 543, 865, 267, 7064, 547, 513, 2186, 21856, 267, 649, 723, 1631, 3773, 930, 28945, 2371, 547, 519, 1119, 637, 593, 938, 1273, 1470, 269, 1284, 4126, 596, 2972, 873, 607, 1454, 607, 649, 798, 563, 347, 16829, 676, 281, 634, 11334, 1475, 517, 281, 476, 6349, 270, 4962, 270, 1001, 277, 2008, 16676, 5224, 938, 1888, 827, 1295, 32079, 6814, 267, 713, 3018, 649, 723, 6743, 538, 811, 1469, 693, 14799, 18346, 269, 1284, 616, 18822, 547, 723, 930, 1318, 3544, 938, 4928, 3168, 1310, 519, 5614, 5810, 649, 723, 6738, 538, 519, 1119, 637, 543, 865, 649, 666, 1353, 873, 538, 811, 1469, 563, 2171, 723, 1336, 856, 6266, 540, 5013, 827, 14799, 18346, 267, 971, 607, 789, 616, 29068, 543, 606, 5521, 602, 814, 12209, 6870, 676, 513, 2182, 9018, 7387, 267, 855, 267, 649, 941, 28280, 547, 3605, 602, 2899, 513, 4775, 14799, 12704, 23933, 1200, 5798, 267, 1352, 10523, 269, 1215, 8909, 2336, 1103, 938, 4928, 693, 519, 4090, 649, 723, 930, 13855, 4944, 11921, 543, 512, 611, 335, 3421, 543, 930, 30746, 799, 649, 616, 11287, 3232, 547, 1294, 875, 789, 1689, 269, 9894, 596, 917, 512, 611, 335, 3421, 899, 3165, 1426, 888, 347, 16829, 676, 281, 634, 11334, 1475, 517, 281, 476, 2190, 270, 6860, 270, 1001, 277, 2008, 8702, 1394, 547, 12910, 476, 276, 269, 1284, 723, 10150, 519, 17681, 5614, 24106, 713, 3018, 607, 649, 3459, 938, 1007, 1888, 3168, 693, 1295, 32079, 6814, 563, 4263, 519, 4098, 540, 519, 3018, 267, 649, 4121, 1018, 621, 1797, 547, 581, 9800, 543, 4682, 538, 3406, 540, 1919, 602, 616, 9800, 543, 543, 1031, 547, 581, 9800, 538, 519, 1153, 12406, 256, 7982, 538, 519, 4928, 267, 649, 15044, 519, 1919, 649, 1336, 883, 2516, 267, 4946, 513, 3791, 1895, 267, 1919, 602, 723, 2760, 1044, 9800, 269, 2052, 596, 5544, 519, 3574, 331, 1787, 538, 938, 2713, 11876, 641, 888, 2171, 723, 849, 1044, 593, 1295, 32079, 770, 6968, 538, 519, 1153, 4677, 1282, 799, 649, 1336, 22404, 267, 20151, 267, 14799, 18346, 267, 17494, 267, 729, 1186, 267, 10987, 543, 3025, 729, 11212, 9599, 950, 513, 13855, 5577, 6244, 2066, 938, 10092, 2336, 347, 16829, 676, 281, 634, 11334, 1475, 517, 281, 476, 1691, 270, 6860, 270, 1001, 277, 2008, 1607, 3018, 649, 723, 1044, 1603, 606, 7778, 540, 519, 2621, 3056, 909, 547, 519, 4168, 11812, 540, 14914, 267, 799, 540, 1576, 5921, 602, 649, 1175, 1185, 547, 3732, 930, 540, 519, 5389, 2059, 519, 1259, 563, 4263, 519, 1376, 540, 519, 3018, 267, 649, 13820, 539, 3443, 31817, 609, 11993, 10433, 543, 4006, 547, 1489, 721, 538, 938, 7778, 540, 1744, 17311, 13638, 543, 30766, 563, 10190, 593, 11016, 267, 649, 25541, 3905, 3444, 536, 12584, 607, 851, 540, 938, 1565, 827, 6153, 11016, 543, 519, 13513, 540, 519, 3444, 585, 10271, 563, 4913, 267, 585, 519, 5729, 476, 272, 781, 267, 972, 729, 1776, 834, 14653, 257, 1995, 267, 607, 789, 10272, 853, 600, 5112, 9605, 13749, 267, 865, 602, 789, 1223, 1451, 827, 519, 1909, 540, 519, 3595, 3028, 543, 875, 547, 581, 2922, 538, 519, 2680, 540, 513, 3595, 563, 10214, 519, 6738, 13522, 3893, 3238, 2336, 347, 16829, 676, 281, 634, 11334, 1475, 517, 281, 476, 736, 270, 6734, 270, 1001, 277, 2008, 2171, 6743, 693, 519, 1433, 589, 2622, 540, 5253, 676, 14161, 2782, 1676, 799, 2934, 513, 8748, 3099, 540, 1426, 2675, 16747, 563, 2171, 1031, 519, 2592, 607, 6667, 547, 1711, 938, 1378, 3484, 5468, 585, 513, 2757, 9661, 540, 938, 1378, 563, 10190, 649, 5249, 1927, 547, 5352, 930, 5863, 6863, 602, 649, 1031, 547, 4766, 938, 1378, 1426, 2675, 16747, 4712, 585, 10014, 538, 938, 2984, 563, 257, 294, 541, 997, 543, 10365, 335, 709, 339, 12269, 7444, 6083, 730, 2066, 519, 4544, 6607, 267, 14593, 28663, 676, 519, 9543, 2842, 4799, 347, 16829, 676, 281, 634, 11334, 1475, 517, 281, 476, 5400, 270, 6734, 270, 1001, 277, 2008, 4002, 11728, 267, 24981, 29542, 10272, 689, 4911, 331, 1014, 4826, 547, 2911, 547, 721, 827, 1141, 938, 1216, 2501, 689, 267, 1018, 4523, 547, 621, 1354, 649, 2490, 593, 938, 7148, 543, 1946, 649, 991, 1216, 547, 7639, 269, 1284, 4121, 6266, 540, 2930, 6863, 971, 607, 13247, 543, 13111, 543, 649, 5342, 938, 1360, 1378, 7634, 547, 1265, 856, 689, 513, 2039, 540, 5439, 267, 799, 7484, 8659, 7148, 1216, 269, 1284, 1031, 938, 1565, 1995, 547, 2328, 606, 7778, 782, 827, 1216, 563, 347, 16829, 676, 281, 634, 11334, 1475, 517, 281, 476, 5400, 270, 6734, 270, 1001, 277, 2008, 2171, 723, 4797, 938 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6854, 538, 6070, 4248, 6864, 926, 4548, 676, 4648, 543, 15908, 1235, 269, 1358, 666, 581, 2938, 10977, 1472, 538, 1507, 2516, 543, 616, 711, 1710, 562, 26802, 610, 10728, 2509, 824, 3165, 2249, 563, 763, 9038, 723, 513, 13711, 1560, 609, 10538, 8711, 593, 741, 24725, 27634, 267, 1247, 519, 8951, 616, 6505, 10538, 269, 634, 32442, 540, 891, 3165, 2242, 950, 789, 7669, 1851, 824, 3165, 2249, 267, 543, 789, 666, 1256, 1689, 2681, 547, 17932, 824, 3165, 2249, 971, 607, 804, 1144, 8127, 563, 763, 10370, 4958, 841, 16262, 5362, 568, 513, 4190, 7286, 3165, 2442, 609, 14987, 543, 4810, 16983, 1832, 619, 1317, 540, 922, 7524, 4778, 543, 10694, 1560, 2497, 269, 1452, 3165, 666, 581, 1336, 538, 519, 4095, 7909, 543, 519, 7414, 7909, 267, 1141, 789, 2661, 538, 1804, 3506, 543, 3049, 593, 18186, 25762, 563, 4415, 782, 891, 3681, 2139, 693, 707, 12871, 267, 596, 991, 547, 1118, 519, 1318, 3375, 1759, 593, 824, 7382, 29982, 2139, 538, 707, 1753, 16983, 563, 5629, 4956, 267, 1577, 803, 917, 707, 3903, 538, 519, 8292, 3296, 2630, 563, 24916, 267, 952, 596, 991, 1022, 948, 538, 1818, 513, 3375, 267, 1745, 1863, 547, 3914, 856, 693, 1496, 16942, 6870, 316, 0, 30706, 3357, 2066, 513, 9160, 3774, 602, 568, 2451, 856, 538, 519, 2011, 585, 3275, 610, 1256, 1296, 286, 2334, 20868, 11491, 4327, 2781, 7757, 6821, 602, 616, 6534, 547, 1216, 543, 2011, 1419, 1376, 14700, 563, 1103, 930, 9160, 2010, 267, 519, 6871, 540, 2666, 11491, 4327, 19460, 666, 2333, 3774, 11702, 2557, 676, 14178, 519, 4259, 942, 1813, 547, 513, 3476, 942, 4259, 563, 4322, 11491, 4327, 6821, 616, 1419, 17941, 607, 9932, 18474, 543, 17478, 267, 855, 538, 4641, 267, 789, 616, 1312, 1114, 543, 616, 711, 20049, 762, 563, 268, 26006, 18474, 4016, 547, 513, 6923, 9648, 267, 15279, 21192, 2497, 1336, 538, 581, 12317, 1161, 267, 1247, 17478, 568, 519, 9668, 540, 6878, 610, 3334, 538, 513, 1570, 563, 268, 26006, 18474, 3889, 616, 17426, 543, 1683, 4222, 543, 6617, 267, 1818, 873, 4998, 585, 1585, 4702, 543, 4070, 3156, 563, 268, 21540, 12198, 538, 2326, 666, 1291, 547, 19514, 3601, 543, 4389, 2298, 267, 26089, 1697, 7829, 543, 4393, 2553, 547, 7413, 922, 12136, 563, 295, 2292, 18474, 5288, 21540, 12198, 454, 295, 2292, 18474, 568, 513, 2067, 2497, 1500, 676, 10987, 547, 4558, 9932, 543, 6318, 741, 1762, 269, 634, 15279, 21192, 3337, 540, 519, 9932, 18474, 2636, 585, 3608, 946, 540, 2230, 267, 1818, 621, 606, 2500, 1259, 585, 10987, 547, 4558, 741, 9932, 269, 21540, 12198, 4016, 547, 519, 9668, 540, 1114, 2516, 540, 1004, 267, 1759, 593, 741, 5198, 267, 14940, 267, 610, 4984, 269, 21540, 12198, 666, 2049, 538, 1585, 8658, 563, 23763, 547, 4688, 713, 2376, 585, 2663, 286, 8437, 519, 2295, 538, 519, 5377, 1318, 7944, 547, 4688, 547, 707, 1378, 4930, 4216, 2336, 295, 2292, 18474, 5250, 593, 9160, 610, 6405, 5526, 547, 581, 20097, 540, 519, 9932, 13520, 269, 634, 1292, 2014, 540, 9932, 1260, 2125, 538, 6405, 568, 3983, 21513, 543, 4057, 960, 1464, 563, 2026, 4166, 607, 519, 9505, 18146, 568, 6569, 267, 9932, 1260, 2125, 602, 616, 593, 519, 5011, 616, 3362, 7298, 547, 519, 21736, 3750, 563, 1103, 1840, 547, 17478, 267, 519, 9160, 13594, 849, 14380, 547, 519, 1283, 543, 27960, 7017, 693, 519, 5377, 540, 519, 2627, 621, 568, 4294, 547, 563, 1607, 4386, 1813, 547, 936, 8686, 12299, 543, 735, 9146, 540, 9160, 267, 538, 799, 6405, 568, 513, 3119, 25499, 269, 901, 2306, 519, 2298, 540, 519, 3774, 1360, 1970, 543, 8754, 267, 2115, 547, 581, 6378, 607, 4166, 607, 2009, 563, 347, 13640, 600, 4394, 540, 18948, 1475, 295, 2292, 18474, 1475, 306, 1122, 12198, 2008, 347, 14240, 1475, 1492, 19659, 2451, 676, 519, 11175, 540, 9160, 593, 519, 3774, 543, 849, 538, 519, 3774, 1141, 9160, 1223, 711, 23309, 13954, 320, 7613, 1141, 519, 9160, 13594, 2501, 693, 519, 1283, 540, 519, 2627, 543, 519, 27960, 7017, 693, 519, 5377, 8198, 347, 26502, 540, 519, 2014, 1475, 302, 951, 1242, 14919, 1475, 2750, 947, 633, 1216, 8198, 347, 7093, 3685, 1475, 10673, 1406, 946, 1360, 13888, 9160, 13954, 10673, 1406, 946, 1447, 2179, 540, 6405, 8198, 347, 21675, 1475, 11754, 31431, 540, 9160, 538, 3160, 8167, 13954, 3725, 1952, 569, 519, 9160, 13594, 538, 519, 2694, 1141, 17478, 568, 2938, 8198, 347, 5475, 2360, 1475, 4692, 3368, 519, 1272, 540, 519, 2679, 13954, 4692, 1118, 621, 519, 3774, 10536, 13479, 543, 824, 9190, 2208, 8198, 1432, 568, 26006, 18474, 888, 295, 2292, 18474, 5250, 593, 9160, 610, 6405, 5526, 547, 581, 20097, 540, 519, 9932, 10987, 269, 634, 1292, 2014, 540, 9932, 1260, 2125, 538, 6405, 568, 3983, 21513, 1279, 609, 4057, 960, 1464, 1775, 4318, 269, 519, 4600, 1705, 711, 798, 741, 2816, 1739, 519, 4808, 563, 2026, 4166, 607, 519, 9505, 18146, 568, 6569, 267, 9932, 1260, 2125, 602, 616, 593, 519, 5011, 616, 3362, 7298, 547, 519, 21736, 3750, 269, 1703, 616, 513, 2603, 540, 4128, 799, 666, 2014, 9932, 1260, 6883, 563, 1103, 14363, 19089, 568, 835, 540, 519, 1292, 2188, 602, 1291, 547, 6405, 12889, 593, 519, 2627, 540, 519, 6821, 269, 670, 3421, 543, 824, 8792, 19659, 3330, 519, 6405, 786, 1106, 9932, 1260, 2125, 1175, 899, 519, 9566, 540, 519, 10987, 563, 18814, 547, 16789, 31954, 543, 16136, 1125, 14919, 267, 642, 6950, 2049, 950, 6405, 568, 23953, 5196, 519, 3774, 267, 4929, 513, 9932, 18474, 2497, 269, 2368, 824, 4128, 585, 9932, 1260, 6883, 616, 454, 268, 1133, 2889, 32216, 21513, 1282, 26311, 540, 6405, 610, 9160, 593, 519, 2627, 540, 519, 3774, 563, 268, 22365, 7593, 13063, 941, 711, 4294, 18113, 610, 4988, 18113, 563, 268, 2422, 540, 1360, 13888, 6405, 2059, 609, 6404, 17114, 540, 6405, 563, 268, 28246, 946, 540, 27960, 563, 1607, 9932, 18474, 2497, 1058, 2063, 585, 3368, 607, 1279, 607, 519, 15810, 1272, 540, 519, 2679, 267, 799, 568, 1063, 476, 736, 543, 476, 1789, 1296, 269, 9747, 267, 621, 6971, 519, 1272, 540, 519, 3774, 267, 543, 538, 4049, 2665, 267, 621, 814, 519, 1272, 540, 519, 2679, 563, 1432, 568, 21540, 12198, 888, 763, 2165, 17478, 1797, 519, 9668, 540, 25499, 2326, 538, 6405, 269, 1703, 616, 1082, 28944, 540, 519, 5933, 540, 17478, 855, 835, 2101, 8760, 20147, 1614, 2010, 540, 17478, 563, 763, 1101, 835, 568, 519, 10868, 540, 21432, 14919, 689, 9160, 3575, 269, 634, 2034, 835, 568, 519, 27072, 540, 9160, 13594, 689, 6405, 693, 519, 3942, 1141, 621, 568, 5068, 563, 763, 3791, 835, 568, 519, 1184, 540, 19459, 1216, 689, 6405, 630, 289, 548, 5338, 538, 6405, 1040, 20963, 543, 21432, 27960, 616, 6404, 609, 9160, 547, 1106, 6405, 563, 2414, 1106, 513, 24267, 3575, 267, 782, 519, 23466, 540, 6405, 1590, 581, 5265, 19040, 269, 11109, 1114, 1808, 28040, 885, 540, 23466, 568, 519, 3119, 2014, 540, 17478, 538, 6405, 563, 306, 1122, 12198, 4386, 950, 519, 1804, 6404, 8167, 622, 14919, 5536, 7017, 543, 4734, 513, 804, 17056, 5070, 9160, 3575, 593, 1283, 267, 8850, 3056, 547, 28811, 2298, 563, 2414, 7753, 891, 2042, 3361, 676, 17478, 267, 513, 5386, 14919, 609, 606, 3160, 8167, 540, 519, 31431, 1223, 581, 1031, 269, 1677, 3035, 519, 2838, 4222, 267, 2705, 267, 519, 1374, 3575, 1590, 581, 971, 602, 621, 666, 581, 8045, 563, 1103, 519, 1482, 1259, 267, 5329, 538, 2247, 519, 2199, 1570, 16551, 267, 519, 1216, 5223, 949, 581, 3144, 883, 2272, 538, 519, 1374, 3575, 547, 2061, 11702, 540, 519, 6405, 5423, 563, 14611, 20212, 9737, 26006, 18474, 543, 21540, 12198, 454, 268, 26006, 18474, 4016, 547, 519, 13520, 9566, 2497, 4646, 593, 519, 6405, 3774, 6466, 17478, 4016, 547, 519, 11702, 540, 519, 3774, 563, 268, 26006, 18474, 666, 581, 5701, 676, 7311, 513, 5386, 7848, 540, 519, 9160, 31431, 538, 519, 9475, 6466, 513, 2898, 1007, 4494, 540, 9160, 568, 4294, 547, 1521, 17478, 563, 268, 26006, 18474, 568, 3361, 676, 1210, 16136, 1242, 27960, 6466, 17478, 568, 3361, 676, 1210, 7050, 1216, 563, 268, 26006, 18474, 666, 3368, 519, 1272, 540, 519, 3774, 6466, 17478, 666, 1450, 9190, 2208, 593, 519, 3774, 563, 268, 26006, 18474, 666, 581, 15286, 676, 711, 1210, 13888, 9160, 6466, 17478, 666, 581, 15286, 676, 1210, 2614, 9160, 610, 676, 711, 1210, 7050, 1216, 563, 296, 4076, 2322, 865, 1454, 4674, 1603, 713, 5816, 2022, 547, 1683, 1871, 547, 596, 269, 898, 3580, 581, 1360, 5363, 585, 803, 267, 952, 596, 2015, 4687, 621, 593, 1514, 2923, 610, 609, 707, 2828, 11721, 13637, 269, 15562, 2752, 5058, 4959, 2340, 503, 354, 20804, 454, 303, 12011, 2313, 962, 611, 822, 814, 6170, 519, 2250, 476, 1839, 1296, 2324, 607, 513, 21997, 538, 519, 2199, 2146, 269, 1261, 568, 513, 21997, 13730, 827, 1818, 2257, 811, 3015, 547, 938, 3988, 269, 1261, 6585, 513, 645, 9928, 538, 7849, 7070, 543, 5403, 23958, 24547, 5448, 538, 7025, 3163, 269, 1411, 666, 1224, 811, 827, 1864, 593, 1010, 6915, 2985, 269, 0, 24309, 676, 20917, 4144, 8867, 334, 454, 2108, 3891, 597, 5979, 1682, 941, 8677, 602, 941, 865, 28336, 602, 789, 9327, 1406, 581, 4421, 2221, 7498, 9336, 1587, 23229, 2394, 621, 779, 8719, 676, 1007, 25752, 5979, 1682, 3034, 763, 1394, 31988, 729, 17149, 563, 1432, 616, 25752, 5979, 1682, 286, 589, 476, 3707, 280, 2376, 538, 519, 1715, 3840, 8648, 3989, 873, 607, 968, 13449, 3542, 3990, 8677, 1496, 328, 4318, 269, 16220, 7123, 3515, 267, 711, 674, 272, 29528, 316, 602, 616, 811, 982, 476, 2004, 1296, 2025, 543, 723, 1044, 19942, 1524, 998, 5481, 1848, 898, 13352, 519, 2413, 2930, 4214, 1107, 855, 711, 519, 4207, 7082, 779, 20772, 585, 513, 3119, 1445, 593, 6492, 563, 24456, 9960, 568, 606, 2141, 5571, 1184, 269, 6601, 539, 619, 1332, 856, 741, 4295, 4015, 540, 1024, 8040, 1169, 1032, 267, 3444, 873, 543, 2445, 5452, 689, 519, 1655, 2043, 269, 12769, 31531, 1007, 1024, 8040, 609, 1007, 3601, 616, 3773, 547, 519, 3575, 267, 855, 585, 519, 1034, 851, 513, 9960, 1982, 568, 513, 6655, 518, 12966, 602, 11179, 10607, 519, 2298, 543, 2773, 540, 513, 2016, 7693, 563, 10144, 538, 519, 2250, 2760, 9763, 741, 7031, 607, 3501, 1107, 789, 941, 2141, 3843, 547, 2087, 741, 5172, 8677, 267, 2436, 547, 1205, 1732, 2504, 267, 547, 3514, 4657, 535, 1662, 687, 267, 610, 547, 14133, 538, 1007, 5054, 269, 1306, 21350, 5367, 538, 519, 1657, 2376, 267, 968, 288, 476, 5002, 273, 22648, 676, 8738, 701, 324, 729, 513, 9985, 1434, 22648, 676, 476, 5002, 273, 4441, 2507, 1809, 9039, 540, 938, 11937, 2479, 9763, 891, 1919, 607, 2944, 269, 1411, 2760, 11074, 9960, 707, 13184, 269, 1411, 2760, 11074, 8939, 707, 22648, 1848, 4658, 4043, 547, 9376, 5196, 519, 2856, 602, 4587, 8677, 13820, 539, 1732, 1247, 30534, 602, 267, 1256, 950, 6492, 729, 5140, 267, 265, 6325, 2773, 538, 519, 4677, 729, 1419, 711, 563, 268, 7731, 23543, 1107, 552, 3052, 269, 930, 2027, 2030, 2699, 4593, 2642, 3395, 538, 2576, 779, 4677, 454, 268, 6196, 630, 984, 26207, 264, 2344, 8677, 1107, 552, 3052, 269, 519, 8355, 951, 31577, 543, 31089, 7970, 16603, 12533, 268, 7073, 25752, 5979, 1682, 1107, 552, 3052, 269, 519, 4006, 26882, 890, 320, 267, 2919, 676, 513, 10448, 9742, 518, 538, 519, 476, 3192, 271, 338, 454, 268, 25491, 25752, 5979, 1682, 1107, 552, 3052, 269, 8677, 602, 723, 1044, 12873, 676, 6705, 543, 22254, 454, 2467, 779, 513, 1747, 585, 14120, 5929, 4066, 630, 663, 7693, 8677, 1070, 855, 594, 6557, 811, 5461, 538, 7487, 1004, 1847, 3564, 513, 30651, 593, 606, 22350, 4998, 1242, 2250, 547, 1711, 741, 1378, 2104, 563, 265, 2290, 10656, 3659, 5143, 803, 602, 267, 14669, 547, 519, 2442, 8226, 602, 3536, 941, 1732, 1282, 938, 6107, 267, 519, 14274, 646, 8057, 909, 609, 941, 5458, 543, 2699, 1107, 855, 1216, 344, 543, 13820, 6804, 269, 20497, 14274, 2139, 538, 519, 13814, 2221, 616, 1454, 13820, 1512, 563, 1262, 634, 31089, 7970, 16603, 267, 5950, 538, 519, 476, 4350, 271, 338, 267, 729, 835, 540, 519, 9998, 2527, 27360, 564, 16603, 8677, 269, 898, 729, 26870, 7361, 607, 513, 4393, 16603, 630, 328, 4318, 269, 13594, 543, 11337, 577, 1575, 267, 711, 4195, 4189, 1040, 898, 779, 4401 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2111, 547, 16172, 1217, 10036, 3037, 676, 922, 18015, 593, 1085, 528, 4221, 4832, 4005, 2395, 543, 922, 7050, 30077, 1782, 1369, 519, 5162, 563, 268, 9995, 344, 3037, 814, 7372, 5536, 543, 7959, 27497, 1399, 269, 9197, 3518, 569, 3037, 6591, 1406, 2186, 610, 1832, 538, 513, 3440, 950, 13603, 909, 269, 9995, 344, 3037, 28368, 16172, 267, 799, 5267, 621, 19380, 9425, 513, 2370, 3787, 540, 8770, 16172, 563, 268, 10753, 18081, 3037, 568, 519, 3803, 2262, 3037, 269, 2334, 568, 519, 3037, 596, 616, 12394, 547, 10536, 269, 10753, 18081, 3037, 568, 14927, 2705, 711, 20202, 269, 898, 1835, 3518, 956, 3274, 543, 3085, 1406, 2186, 883, 513, 9157, 3440, 610, 11523, 950, 3819, 563, 21607, 1927, 519, 3037, 454, 3086, 602, 596, 1174, 707, 3037, 6499, 267, 596, 3580, 581, 2111, 547, 2322, 1927, 621, 585, 519, 8375, 4005, 563, 15761, 2400, 5686, 540, 13226, 949, 581, 1459, 538, 707, 5065, 4401, 332, 784, 2044, 4558, 269, 5272, 2186, 540, 13226, 814, 513, 5697, 7848, 540, 9436, 267, 16903, 267, 543, 11379, 269, 1234, 2391, 2390, 1018, 707, 3037, 2638, 9138, 267, 596, 3580, 581, 2111, 547, 2824, 513, 2203, 543, 2186, 540, 13226, 547, 3986, 707, 3037, 269, 9701, 596, 3870, 2067, 2339, 267, 1589, 827, 835, 610, 513, 7848, 540, 1346, 5079, 563, 268, 700, 830, 281, 14780, 2478, 519, 9063, 540, 15755, 3037, 563, 268, 590, 5285, 584, 281, 8899, 619, 519, 9063, 540, 22279, 3037, 563, 268, 8381, 523, 11849, 281, 14780, 2478, 519, 9063, 540, 15755, 3037, 563, 11847, 1515, 1896, 2010, 540, 3037, 563, 763, 1697, 3037, 9403, 568, 1271, 585, 3597, 6454, 543, 585, 5072, 547, 1491, 909, 7509, 543, 2011, 269, 769, 2013, 707, 3037, 568, 10053, 543, 10036, 6438, 267, 519, 5377, 786, 3251, 1932, 5848, 267, 799, 5267, 5072, 786, 546, 3497, 543, 1256, 1020, 3597, 4232, 269, 9995, 344, 11934, 786, 8963, 1932, 16172, 267, 543, 707, 5452, 6591, 1406, 27653, 909, 6190, 7509, 269, 1280, 519, 1360, 1655, 8375, 5790, 267, 596, 991, 513, 6989, 602, 949, 4235, 1216, 2705, 5512, 6190, 2011, 547, 2095, 883, 269, 1411, 3580, 581, 2111, 547, 3986, 3037, 9403, 676, 1519, 2067, 2326, 269, 3281, 739, 543, 24435, 21263, 616, 4440, 519, 1034, 8037, 2067, 7727, 267, 2705, 621, 779, 849, 2009, 547, 1039, 23226, 267, 6371, 804, 2089, 902, 267, 543, 24588, 7031, 547, 10038, 707, 3037, 779, 9403, 563, 268, 22110, 3037, 281, 2290, 540, 519, 1655, 2081, 547, 5818, 10036, 3037, 568, 865, 607, 547, 1039, 476, 274, 547, 476, 275, 6279, 540, 11003, 269, 901, 666, 1118, 519, 3037, 3063, 960, 762, 269, 5410, 12450, 610, 9735, 13626, 22890, 547, 519, 5377, 585, 3773, 4070, 563, 268, 9995, 344, 3037, 281, 4518, 1369, 519, 11003, 540, 1134, 268, 8527, 1540, 23226, 547, 519, 5377, 269, 10705, 267, 827, 1614, 547, 476, 275, 6279, 786, 798, 269, 898, 779, 849, 2009, 547, 960, 538, 10800, 331, 7031, 547, 3761, 2417, 4070, 563, 268, 10753, 600, 281, 2060, 519, 1697, 3575, 540, 3037, 12204, 267, 596, 3592, 6157, 6591, 1406, 1616, 865, 607, 547, 1039, 513, 2603, 4505, 982, 9544, 4849, 519, 3037, 2638, 15225, 606, 9000, 540, 8324, 563, 763, 1655, 1935, 547, 2087, 707, 18147, 3037, 568, 676, 1519, 11003, 610, 1114, 2067, 2326, 513, 7008, 540, 2053, 513, 29757, 269, 4825, 652, 707, 3037, 21496, 267, 23679, 1369, 519, 2887, 267, 865, 596, 3580, 581, 2111, 547, 1039, 22853, 543, 11863, 873, 547, 31693, 936, 519, 5162, 269, 589, 1134, 1922, 539, 18147, 786, 1039, 14996, 775, 547, 707, 1753, 267, 7393, 707, 26193, 17134, 656, 618, 269, 16544, 609, 1283, 27677, 577, 26193, 17134, 656, 618, 616, 3063, 1303, 6005, 547, 6800, 543, 666, 4217, 596, 3895, 707, 853, 269, 22642, 7921, 1753, 16172, 543, 585, 606, 5140, 4502, 269, 0, 1805, 655, 2281, 630, 306, 12336, 264, 8858, 519, 1582, 3146, 2908, 531, 2841, 1878, 543, 519, 12588, 547, 3715, 519, 1808, 1591, 2010, 607, 1134, 607, 606, 3003, 11248, 1496, 272, 267, 476, 273, 4940, 16989, 6565, 2281, 630, 3008, 12336, 264, 616, 2189, 2010, 540, 519, 1480, 6565, 2281, 7294, 538, 606, 4835, 11808, 7271, 543, 6721, 10682, 585, 2281, 28115, 730, 676, 1585, 5773, 1547, 1358, 2291, 538, 693, 1880, 26715, 4609, 543, 949, 3136, 547, 581, 844, 625, 1417, 585, 1279, 5712, 11489, 13251, 676, 741, 13766, 547, 2844, 5160, 27921, 269, 11531, 267, 590, 12336, 538, 519, 31894, 5160, 616, 1336, 5631, 693, 519, 1351, 928, 657, 743, 1968, 18215, 639, 1496, 275, 267, 476, 276, 4940, 11569, 267, 1079, 8783, 5686, 540, 6789, 12336, 616, 1336, 538, 519, 1929, 4472, 13395, 267, 21214, 519, 25853, 543, 588, 668, 531, 6565, 2281, 27883, 528, 17941, 1929, 4472, 6565, 2281, 630, 11862, 12336, 13580, 10483, 609, 519, 1351, 928, 531, 588, 668, 531, 6565, 2281, 630, 16430, 12336, 264, 1547, 1452, 590, 12336, 1489, 519, 11413, 540, 1351, 928, 531, 269, 634, 700, 306, 12336, 267, 607, 513, 1134, 7302, 541, 1461, 1242, 2551, 540, 6789, 12336, 267, 13883, 538, 519, 1351, 928, 531, 18215, 639, 685, 21828, 25853, 4494, 267, 4929, 519, 1351, 928, 531, 13423, 26375, 20344, 269, 634, 700, 306, 12336, 10638, 630, 11862, 7374, 264, 568, 2808, 607, 606, 513, 2619, 11043, 2783, 267, 799, 729, 9138, 676, 519, 14524, 607, 1134, 607, 23979, 540, 590, 12336, 840, 15479, 832, 540, 519, 1351, 928, 531, 13423, 26375, 269, 901, 2783, 568, 6353, 676, 1351, 928, 531, 31792, 2526, 1436, 1547, 769, 522, 4788, 5160, 267, 700, 306, 12336, 3142, 827, 513, 11808, 4493, 540, 28738, 3218, 2281, 267, 5555, 10451, 543, 13868, 1351, 928, 531, 13423, 26375, 269, 1306, 513, 1267, 267, 700, 306, 12336, 5945, 4951, 538, 700, 306, 7374, 1223, 896, 12340, 29523, 3308, 9124, 1496, 279, 267, 476, 280, 14073, 14483, 5359, 1129, 1881, 602, 5418, 3999, 22241, 7506, 540, 8544, 26067, 2096, 531, 6565, 2281, 630, 5960, 12336, 264, 616, 7361, 25623, 676, 10451, 19729, 1612, 659, 9068, 5820, 267, 799, 1331, 855, 711, 11658, 547, 29299, 267, 2208, 2188, 267, 543, 4719, 1570, 1496, 1015, 268, 1321, 4940, 1401, 22199, 630, 1789, 268, 1911, 16354, 538, 8006, 264, 616, 519, 1292, 12204, 540, 24519, 8397, 29414, 5738, 2873, 630, 14110, 338, 264, 9658, 1540, 676, 6565, 1591, 267, 4761, 2281, 543, 3092, 1496, 1724, 268, 1428, 4940, 769, 1840, 547, 519, 608, 22199, 267, 26586, 5328, 4703, 630, 288, 17763, 289, 264, 543, 2890, 1407, 2873, 630, 300, 26394, 264, 616, 824, 2010, 540, 519, 12601, 338, 543, 616, 3677, 982, 476, 1911, 16354, 538, 8006, 269, 1401, 22199, 1362, 1227, 6655, 519, 4909, 524, 1173, 657, 267, 538, 1880, 267, 11465, 11748, 267, 547, 519, 18579, 2281, 269, 769, 1249, 267, 608, 22199, 7520, 5160, 6051, 543, 3870, 610, 836, 1599, 1496, 1626, 267, 476, 1704, 4940, 21452, 267, 608, 22199, 11851, 2147, 2360, 547, 9049, 12336, 538, 1007, 6077, 5250, 267, 15645, 908, 4761, 6114, 267, 543, 1802, 1424, 3077, 1591, 18735, 4586, 1103, 713, 1353, 267, 649, 723, 11117, 519, 2009, 2360, 540, 519, 9049, 12336, 23402, 608, 25593, 593, 519, 700, 306, 12336, 538, 20117, 563, 763, 1480, 9049, 12336, 941, 12349, 689, 519, 20858, 21983, 25745, 8426, 30911, 267, 9459, 269, 19204, 941, 31796, 538, 667, 592, 2041, 764, 334, 779, 3525, 1881, 26267, 23839, 630, 19699, 4932, 264, 630, 22479, 878, 1941, 11660, 267, 5125, 264, 609, 476, 1015, 260, 674, 13926, 645, 990, 710, 5395, 636, 630, 293, 7034, 264, 630, 22479, 878, 1941, 11660, 267, 5125, 264, 543, 476, 272, 260, 4050, 23995, 10517, 630, 306, 7950, 5025, 671, 5341, 267, 5125, 1040, 2414, 3489, 519, 700, 306, 12336, 267, 1929, 4472, 26079, 6508, 689, 10856, 4064, 729, 26819, 539, 269, 3973, 5160, 729, 2759, 26079, 883, 5634, 15998, 267, 543, 2736, 1524, 519, 15998, 609, 2119, 1186, 514, 1436, 269, 9049, 12336, 543, 700, 306, 12336, 941, 17861, 730, 693, 513, 476, 4391, 9180, 18519, 1881, 5790, 267, 609, 2910, 273, 476, 276, 18336, 763, 608, 22199, 941, 22876, 3293, 689, 519, 31411, 2923, 630, 13967, 264, 540, 519, 6565, 1591, 2528, 1166, 2532, 269, 1401, 25593, 10072, 729, 5342, 1210, 519, 11192, 1401, 25593, 1772, 15684, 1234, 26047, 630, 1103, 10903, 4088, 1040, 16448, 539, 2923, 729, 25916, 539, 693, 476, 1911, 876, 6398, 575, 585, 476, 1789, 1295, 547, 30817, 519, 824, 12601, 338, 563, 763, 9678, 608, 22199, 685, 19916, 729, 9916, 29227, 519, 6771, 6475, 22794, 630, 25539, 296, 570, 1815, 333, 2967, 476, 1321, 267, 5845, 2354, 267, 13814, 1916, 2750, 16054, 540, 519, 7131, 8287, 543, 7131, 10037, 729, 11117, 593, 519, 2627, 593, 1591, 543, 608, 25593, 676, 7262, 1025, 31857, 269, 769, 5618, 267, 2281, 941, 30897, 539, 1210, 681, 296, 5183, 17280, 543, 25739, 30897, 622, 16487, 547, 519, 14346, 5263, 17011, 630, 13270, 296, 6490, 1962, 2033, 16370, 267, 7330, 1040, 3973, 267, 3119, 543, 6281, 12489, 630, 6781, 31748, 267, 5177, 264, 941, 1031, 547, 7447, 519, 4082, 540, 7131, 8287, 543, 7131, 10037, 2889, 974, 1231, 593, 608, 25593, 543, 1591, 2627, 563, 763, 7506, 540, 519, 608, 22199, 693, 2810, 9830, 540, 476, 2004, 910, 6110, 23356, 270, 6447, 593, 519, 700, 306, 12336, 941, 11567, 676, 631, 22721, 22368, 7282, 631, 22721, 6539, 5528, 16733, 306, 7950, 5025, 671, 5341, 267, 5125, 26895, 634, 476, 271, 269, 276, 9943, 10755, 2281, 941, 6079, 539, 1101, 569, 538, 1142, 6676, 540, 519, 476, 9834, 2914, 749, 10824, 543, 6854, 585, 476, 2190, 3108, 269, 3973, 649, 3773, 519, 476, 2004, 268, 6110, 23356, 270, 6447, 608, 25593, 267, 543, 519, 2281, 941, 6854, 585, 476, 2190, 268, 9834, 3108, 269, 16828, 267, 519, 476, 276, 8406, 631, 22721, 270, 6447, 5420, 630, 1015, 18725, 299, 264, 729, 3773, 269, 11086, 267, 519, 744, 291, 540, 19401, 729, 12290, 693, 476, 31816, 16354, 20966, 1739, 827, 476, 275, 3108, 540, 29164, 563, 11748, 10868, 543, 524, 19091, 10282, 543, 26592, 19738, 454, 8794, 519, 681, 301, 311, 9578, 3070, 6539, 630, 306, 514, 659, 23127, 267, 9459, 264, 2698, 10717, 10072, 689, 700, 306, 12336, 729, 7307, 269, 3973, 519, 524, 19091, 729, 6383, 676, 519, 1164, 32728, 13369, 6539, 9715, 689, 519, 645, 7748, 518, 267, 7330, 269, 1280, 16759, 540, 519, 4082, 540, 18317, 298, 267, 533, 4343, 30684, 298, 267, 654, 660, 543, 16061, 2275, 22760, 514, 693, 22328, 2157, 267, 11050, 19738, 729, 12913, 269, 634, 24704, 524, 19091, 267, 4464, 543, 9258, 2215, 619, 630, 8368, 476, 272, 1070, 30341, 1216, 267, 543, 11788, 11742, 12814, 9457, 17186, 9715, 689, 519, 16740, 11575, 3534, 267, 630, 308, 2529, 6993, 941, 6964, 563, 24342, 689, 1614, 4830, 4255, 4951, 538, 6399, 13008, 590, 4932, 269, 3973, 9906, 570, 23150, 729, 7307, 538, 547, 5581, 519, 8579, 3604, 269, 31664, 941, 9916, 676, 590, 31723, 563, 305, 2464, 8085, 4811, 1315, 20591, 290, 4785, 31064, 454, 310, 3480, 1025, 31857, 543, 570, 4932, 3239, 454, 763, 4082, 540, 7131, 8287, 543, 7131, 10037, 543, 570, 4932, 3239, 4951, 608, 25593, 3811, 10072, 689, 9049, 12336, 630, 8993, 269, 476, 272, 543, 476, 273, 1916, 5960, 12336, 23402, 608, 25593, 5818, 539, 700, 306, 12336, 1591, 18735, 454, 6097, 547, 519, 631, 22721, 22368, 4539, 267, 476, 2004, 268, 476, 6110, 23356, 270, 6447, 9830, 540, 608, 22199, 5818, 539, 700, 306, 12336, 18735, 1369, 476, 2190, 268, 476, 9834, 3108, 540, 6304, 630, 8993, 269, 476, 274, 1040, 901, 3310, 729, 811, 7986, 693, 519, 476, 6110, 978, 270, 6447, 5834, 540, 608, 665, 727, 1369, 476, 9834, 3108, 540, 2126, 630, 8993, 269, 476, 274, 1040, 11569, 267, 519, 1764, 729, 1312, 942, 268, 543, 9570, 17466, 269, 634, 11215, 2360, 540, 519, 608, 22199, 593, 700, 17092, 18735, 941, 1713, 855, 711, 2178, 693, 476, 2004, 23356, 270, 6447, 5834, 563, 763, 9354, 21941, 540, 9049, 12336, 547, 993, 601, 1640, 622, 1351, 928, 531, 1566, 13369, 267, 683, 7975, 1436, 267, 543, 632, 29970, 4761, 3210, 723, 9244, 1044, 23576, 538, 1585, 8097, 3631, 540, 700, 306, 7374, 269, 769, 1840, 267, 621, 729, 17820, 602, 608, 25593, 689, 1480, 9049, 12336, 1223, 2149, 27243, 14228, 331, 542, 2281, 630, 305, 294, 12336, 264, 543, 2844, 27243, 1599, 538 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 476, 1556, 269, 2494, 639, 332, 761, 328, 734, 1492, 16339, 529, 762, 3332, 281, 3657, 519, 18243, 1080, 27734, 27085, 476, 1321, 269, 23347, 2381, 673, 1514, 1931, 799, 17134, 7134, 519, 1744, 644, 6652, 543, 519, 2021, 281, 634, 22864, 519, 23347, 332, 1231, 9715, 1317, 540, 2494, 340, 282, 717, 24612, 8635, 282, 2494, 340, 781, 23998, 2509, 2021, 269, 476, 1724, 269, 13898, 540, 519, 21475, 5025, 787, 753, 281, 4858, 8676, 1143, 267, 28174, 9017, 543, 23347, 2381, 1143, 282, 5641, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 5719, 743, 710, 540, 13221, 538, 9147, 3127, 257, 607, 851, 540, 834, 32628, 1315, 13221, 1315, 3778, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 8080, 547, 606, 5863, 1158, 1141, 2257, 10742, 4948, 1272, 256, 4653, 649, 2811, 2469, 547, 2263, 875, 930, 13085, 3173, 946, 5201, 543, 6464, 547, 948, 4194, 2564, 13655, 543, 1020, 1007, 5574, 585, 3676, 899, 3987, 543, 2860, 269, 1284, 786, 849, 1451, 827, 519, 6909, 960, 1373, 2944, 547, 1174, 875, 938, 4703, 1184, 1114, 6878, 602, 649, 2097, 883, 3346, 609, 1169, 2582, 1554, 780, 5331, 952, 596, 1223, 10244, 519, 1379, 540, 5201, 543, 7998, 547, 1689, 519, 1259, 649, 3713, 543, 1521, 10108, 286, 2334, 779, 4010, 1018, 3220, 269, 6424, 1849, 858, 601, 1281, 256, 1306, 513, 7905, 540, 11061, 693, 513, 2462, 6280, 267, 646, 5012, 513, 1895, 540, 8049, 8186, 1572, 519, 1849, 858, 601, 3194, 6828, 269, 8625, 789, 2932, 6901, 1210, 6946, 7405, 538, 741, 8047, 4092, 1164, 909, 538, 513, 2679, 4904, 609, 824, 3744, 269, 1358, 1445, 593, 1945, 1634, 607, 834, 19491, 10635, 13511, 2437, 799, 10905, 5122, 1648, 609, 3114, 6547, 780, 4131, 781, 2736, 713, 1524, 1927, 256, 1411, 917, 875, 950, 596, 16212, 513, 1769, 6467, 267, 5201, 8928, 998, 12904, 543, 8279, 909, 707, 4055, 286, 4270, 267, 4952, 2348, 2027, 2645, 602, 1450, 721, 547, 1852, 1346, 3167, 14768, 865, 10502, 602, 649, 666, 9594, 1808, 3114, 2242, 538, 6263, 1919, 899, 6675, 1107, 602, 779, 6850, 322, 13511, 256, 1635, 3257, 713, 267, 3220, 269, 1849, 858, 601, 543, 1010, 2319, 4126, 547, 3605, 1007, 2081, 547, 13209, 543, 4339, 3676, 971, 607, 3987, 543, 1256, 2860, 269, 898, 1522, 3280, 7294, 1631, 267, 855, 1589, 540, 621, 607, 15705, 7060, 7996, 547, 581, 12260, 539, 2439, 3086, 1577, 803, 6338, 596, 547, 1776, 4241, 10196, 267, 3220, 269, 674, 269, 8834, 2871, 10152, 747, 269, 1261, 781, 513, 4487, 24413, 4974, 1979, 17190, 267, 2519, 593, 1620, 875, 938, 1560, 20362, 1585, 6878, 649, 7237, 3232, 269, 5620, 596, 2479, 9289, 1018, 4523, 950, 649, 3548, 1426, 610, 13236, 2011, 286, 3776, 4703, 1491, 538, 6266, 540, 2326, 267, 1312, 5363, 543, 5739, 3283, 269, 1809, 1810, 1405, 5855, 282, 1175, 899, 27568, 723, 2427, 330, 6506, 267, 938, 4703, 723, 3710, 2987, 2149, 832, 1932, 2439, 7804, 269, 2871, 10152, 747, 27180, 891, 8825, 1949, 3330, 721, 267, 4481, 3168, 693, 11476, 1572, 968, 1097, 1729, 577, 4435, 623, 14596, 1848, 1452, 2370, 21847, 1796, 9856, 1369, 938, 2281, 543, 7914, 883, 2962, 8164, 789, 5544, 5732, 5906, 7135, 269, 4635, 741, 3532, 3114, 23805, 267, 789, 2759, 6306, 13311, 28164, 1354, 789, 666, 2014, 1022, 2800, 269, 1215, 3579, 568, 602, 31841, 3528, 1565, 811, 827, 891, 11747, 9718, 619, 267, 3220, 269, 2871, 10152, 747, 13922, 547, 1265, 1732, 2081, 547, 3589, 875, 1004, 781, 4703, 1522, 2746, 8335, 547, 1978, 11955, 610, 14107, 269, 1924, 1985, 942, 596, 2972, 513, 17705, 7594, 610, 1404, 3544, 593, 513, 13566, 1554, 267, 3314, 972, 616, 9118, 18784, 12959, 2921, 1747, 3330, 596, 267, 5329, 596, 2922, 543, 2635, 780, 1103, 5758, 267, 649, 4121, 2221, 602, 2257, 3884, 1405, 1152, 1336, 538, 9499, 610, 13460, 910, 621, 781, 782, 1472, 721, 267, 2324, 24091, 3297, 519, 10207, 269, 12207, 899, 3220, 269, 1849, 858, 601, 543, 3220, 269, 2871, 10152, 747, 946, 5969, 12967, 2029, 543, 741, 5318, 1702, 547, 10994, 1950, 2042, 267, 5355, 3782, 543, 7863, 721, 689, 1761, 12178, 269, 1656, 945, 6487, 286, 9320, 14693, 4166, 267, 9358, 786, 6443, 873, 538, 26500, 1007, 11580, 6456, 2620, 1369, 519, 14952, 748, 1158, 540, 7998, 543, 7350, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 21837, 1849, 858, 601, 267, 1912, 6185, 563, 23178, 540, 11061, 454, 4942, 6185, 1421, 2160, 540, 7147, 267, 476, 1960, 279, 454, 309, 2562, 10345, 267, 966, 2975, 289, 267, 15089, 641, 14835, 29119, 574, 923, 267, 5082, 549, 534, 3315, 3749, 11061, 267, 11906, 10334, 267, 12713, 534, 3315, 3749, 11061, 543, 30551, 11061, 454, 10112, 1539, 622, 7548, 540, 7998, 6424, 1849, 858, 601, 666, 581, 513, 4161, 269, 769, 1840, 547, 3450, 267, 519, 4274, 538, 6850, 322, 13511, 543, 10763, 7998, 13327, 525, 1382, 538, 3670, 22475, 538, 2185, 5656, 1369, 519, 21862, 21672, 4741, 269, 901, 2978, 593, 519, 11359, 6989, 540, 8490, 476, 276, 5713, 607, 1753, 3490, 585, 519, 1849, 858, 601, 3194, 6828, 267, 1010, 2319, 540, 2022, 28273, 28118, 27498, 267, 10927, 1053, 543, 896, 6588, 706, 919, 269, 634, 1895, 1568, 609, 7463, 31627, 543, 3157, 14542, 547, 1034, 267, 855, 922, 1382, 949, 835, 1554, 1764, 3987, 267, 10074, 543, 2860, 563, 293, 269, 8834, 2871, 10152, 747, 267, 1912, 6185, 563, 23178, 540, 4437, 17190, 454, 4942, 6185, 1421, 966, 6387, 321, 2830, 2160, 267, 476, 3192, 274, 630, 18693, 17190, 994, 28899, 2127, 540, 1719, 1331, 519, 10307, 540, 15910, 11077, 543, 5061, 676, 2166, 1729, 577, 4435, 623, 14596, 11476, 267, 519, 6915, 716, 10474, 540, 10300, 4094, 730, 8652, 8364, 321, 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, 7201, 17231, 519, 27763, 267, 6531, 1652, 23497, 6607, 267, 594, 1336, 8885, 14084, 593, 1250, 1394, 267, 17680, 6137, 513, 524, 13246, 727, 21208, 517, 8254, 9280, 609, 513, 7658, 874, 9369, 7828, 269, 3733, 8966, 10732, 2250, 830, 286, 12650, 1005, 2592, 540, 3859, 1166, 4100, 998, 1250, 7463, 16263, 269, 898, 729, 513, 13395, 1719, 267, 855, 621, 4547, 803, 10373, 7772, 543, 9547, 1107, 972, 781, 1945, 3592, 1199, 5511, 827, 7996, 3461, 569, 585, 2470, 547, 7866, 922, 13300, 780, 1607, 1880, 1554, 1185, 13175, 1175, 899, 1022, 824, 282, 2705, 267, 1919, 3576, 606, 6397, 2490, 950, 594, 8068, 3350, 2282, 1250, 3937, 2013, 269, 589, 8049, 13863, 332, 6064, 1185, 7307, 547, 530, 3419, 326, 548, 922, 1259, 3330, 543, 1631, 575, 23932, 2685, 28594, 31090, 693, 519, 1379, 15791, 4448, 547, 1250, 17960, 269, 769, 16897, 267, 594, 14478, 607, 1250, 5326, 8929, 3459, 547, 1570, 1125, 1354, 1250, 4064, 910, 513, 7372, 11237, 540, 7943, 729, 26405, 547, 16802, 8521, 267, 27283, 519, 30723, 538, 20498, 6752, 269, 1403, 1152, 519, 2370, 1814, 614, 1131, 24044, 922, 16160, 1884, 923, 2439, 293, 745, 1598, 730, 543, 5462, 267, 594, 6785, 594, 2877, 547, 957, 3533, 952, 594, 4941, 547, 32006, 720, 1312, 1250, 10591, 543, 519, 4316, 9306, 3294, 1657, 803, 269, 2060, 6071, 8090, 547, 22302, 267, 594, 8756, 539, 1250, 6418, 5839, 294, 344, 591, 543, 15555, 332, 3042, 998, 1250, 9126, 585, 4376, 3730, 269, 25876, 6390, 256, 594, 4362, 513, 3368, 3887, 22760, 1648, 3046, 543, 530, 8491, 621, 21915, 531, 1944, 569, 2673, 547, 519, 6316, 540, 519, 2013, 269, 1306, 17191, 267, 519, 13863, 332, 6064, 14460, 6928, 267, 1085, 600, 27128, 2509, 519, 1521, 3079, 780, 310, 8463, 1100, 942, 267, 594, 556, 8588, 3388, 1175, 607, 519, 897, 1601, 531, 11237, 540, 1769, 22815, 1027, 519, 5790, 267, 10451, 606, 26080, 16802, 540, 10477, 12345, 2066, 519, 6109, 3512, 269, 8437, 1310, 4945, 267, 594, 9676, 519, 18198, 6429, 11200, 532, 1354, 803, 269, 4495, 9108, 6740, 538, 1250, 3965, 3556, 267, 594, 7948, 1405, 948, 855, 669, 22976, 693, 875, 21494, 569, 19278, 519, 2898, 32252, 3512, 5828, 856, 547, 581, 780, 8269, 22162, 593, 713, 10071, 2451, 803, 19825, 1079, 1919, 281, 1101, 267, 2760, 30391, 519, 1871, 540, 13916, 538, 20408, 9465, 630, 2041, 789, 24566, 3283, 610, 6382, 1040, 5822, 267, 3006, 938, 1034, 19644, 2833, 6565, 689, 9583, 27217, 2238, 5916, 609, 513, 21686, 540, 1434, 19539, 543, 4199, 6888, 269, 4595, 1287, 267, 8164, 1272, 25001, 7455, 27750, 1250, 1259, 267, 594, 7618, 8885, 540, 602, 694, 16781, 760, 527, 748, 1554, 9944, 519, 23497, 6607, 267, 11439, 609, 4986, 811, 982, 513, 8254, 267, 513, 16263, 267, 543, 513, 1134, 2389, 574, 539, 30411, 8671, 545, 5473, 606, 22023, 626, 1043, 887, 4823, 15165, 269, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 2108, 303, 28558, 513, 4845, 799, 19528, 782, 540, 891, 2035, 281, 11237, 267, 16802, 267, 6607, 454, 2026, 519, 32689, 3141, 10393, 16802, 883, 513, 7524, 4159, 540, 13085, 4778, 267, 1792, 6545, 540, 546, 9579, 1782, 1769, 4646, 606, 11999, 11237, 267, 30780, 15198, 689, 835, 1439, 540, 519, 30811, 6607, 547, 519, 824, 267, 2870, 606, 25713, 15564, 25378, 18477, 20100, 585, 782, 547, 7198, 14325, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 1684, 711, 1376, 609, 5220, 899, 476, 834, 5629, 2390, 513, 942, 257, 607, 713, 568, 513, 14703, 2022, 543, 711, 513, 3209, 267, 596, 1058, 849, 2057, 4358, 609, 5929, 5220, 899, 834, 288, 1906, 1296, 3516, 257, 610, 834, 288, 1906, 1296, 1394, 2580, 581, 3860, 269, 0, 769, 2221, 781, 1158, 267, 1239, 814, 1831, 606, 1898, 1907, 585, 13422, 1136, 543, 3375, 6194, 693, 1585, 2157, 267, 1519, 2797, 5238, 267, 1875, 17416, 3906, 267, 543, 4213, 269, 4578, 12454, 3375, 6194, 630, 24884, 19699, 264, 3322, 1210, 12170, 2963, 267, 8579, 2079, 267, 543, 2565, 7744, 547, 1217, 3609, 5079, 543, 6218, 741, 4093, 269, 901, 1935, 666, 948, 2327, 602, 4507, 5447, 609, 1857, 2418, 543, 14422, 1247, 849, 5009, 12477, 543, 11413, 269, 769, 713, 3184, 267, 649, 786, 2263, 30250, 19699, 781, 7811, 13210, 543, 4052, 3156, 538, 1646, 6214, 269, 1284, 786, 4983, 875, 2797, 3401, 543, 3906, 946, 1239, 547, 3895, 1514, 10304, 267, 2569, 6710, 267, 543, 6536, 4264, 2208, 269, 3414, 2013, 2090, 267, 1483, 8996, 1806, 267, 543, 2487, 1382, 4681, 267, 649, 2832, 547, 1683, 513, 3102, 7650, 540, 30250, 19699, 781, 1761, 2640, 543, 2591, 538, 4207, 2518, 12602, 780, 2162, 1548, 568, 4578, 5937, 337, 1508, 17423, 5336, 1136, 2496, 4263, 922, 4295, 267, 30250, 19699, 4016, 547, 513, 9836, 1184, 540, 11018, 267, 7421, 267, 543, 16208, 1239, 547, 1217, 3375 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5507, 267, 3733, 518, 6428, 16120, 543, 1010, 7385, 5795, 4332, 547, 3220, 269, 4414, 743, 858, 324, 26637, 6428, 16120, 945, 9310, 715, 2088, 267, 519, 8250, 540, 14880, 16026, 538, 476, 5002, 272, 543, 945, 6039, 607, 519, 10615, 540, 11202, 1670, 4659, 540, 519, 5507, 11233, 563, 6942, 276, 281, 17510, 11845, 540, 717, 1068, 337, 8775, 5754, 2006, 945, 607, 717, 1068, 337, 8775, 17054, 1633, 518, 9310, 30486, 15751, 15724, 752, 563, 6942, 276, 281, 968, 763, 7642, 540, 12493, 892, 799, 1101, 7902, 538, 5839, 17524, 534, 779, 18225, 543, 729, 1065, 21242, 2221, 2488, 513, 5618, 1686, 540, 519, 7642, 540, 602, 851, 540, 4789, 4098, 609, 519, 2530, 540, 851, 540, 14951, 602, 1185, 20705, 547, 26826, 540, 12493, 538, 476, 14093, 278, 950, 930, 540, 519, 3751, 779, 9635, 941, 3141, 330, 1282, 513, 22116, 1394, 547, 11870, 22929, 269, 6145, 519, 7642, 540, 3840, 267, 22118, 333, 543, 853, 600, 5112, 267, 519, 7642, 540, 12493, 1185, 1044, 1793, 664, 543, 726, 1495, 1229, 676, 1762, 2296, 2006, 945, 941, 2469, 547, 3751, 9400, 593, 1010, 12724, 1228, 547, 519, 10513, 8092, 269, 634, 7642, 540, 12493, 723, 519, 3606, 3965, 540, 519, 26718, 13615, 670, 7676, 540, 12493, 267, 519, 4168, 1126, 4171, 2669, 8507, 538, 519, 1101, 1973, 5391, 601, 538, 519, 3703, 1772, 956, 563, 6942, 279, 263, 3066, 628, 540, 4432, 592, 267, 476, 4649, 275, 278, 2567, 661, 516, 341, 681, 9655, 25300, 534, 1695, 454, 6942, 280, 281, 769, 8303, 267, 25447, 31066, 12138, 25347, 6199, 543, 1010, 7385, 5795, 4332, 547, 1148, 21689, 543, 14787, 700, 2946, 517, 576, 25347, 6199, 945, 729, 519, 7015, 540, 19922, 8227, 6754, 25347, 6199, 563, 6942, 280, 281, 589, 1804, 1297, 540, 1715, 3840, 779, 1034, 7986, 7642, 13984, 713, 6640, 779, 24133, 585, 15182, 731, 22757, 25206, 648, 267, 519, 683, 15343, 342, 540, 11184, 15584, 22757, 25206, 648, 269, 15887, 6798, 29775, 822, 20944, 1492, 559, 6815, 7007, 693, 519, 2533, 799, 941, 4371, 693, 13527, 661, 2006, 340, 7232, 331, 269, 11153, 540, 519, 2749, 779, 14558, 529, 13984, 1519, 3220, 269, 12253, 661, 514, 1817, 333, 267, 670, 2529, 269, 10496, 10849, 267, 15656, 1520, 2401, 267, 670, 2529, 269, 21469, 338, 543, 26826, 29216, 269, 22757, 25206, 648, 779, 30756, 514, 729, 3144, 547, 519, 9399, 2826, 2335, 545, 799, 786, 1491, 621, 1394, 547, 4789, 585, 3803, 954, 618, 269, 22757, 25206, 648, 1185, 2097, 547, 519, 2136, 2276, 547, 1353, 519, 14081, 534, 1514, 543, 2797, 5238, 602, 723, 2919, 538, 519, 2136, 2276, 865, 602, 646, 1223, 2328, 827, 873, 585, 1010, 8284, 2296, 2006, 269, 3807, 1991, 547, 1010, 2669, 267, 519, 8648, 540, 5507, 1185, 3370, 606, 2376, 540, 1010, 827, 519, 2290, 5866, 7991, 563, 6642, 271, 281, 769, 1715, 3840, 267, 7128, 18486, 631, 2088, 18671, 618, 15595, 267, 585, 1200, 1909, 538, 1200, 9393, 779, 2238, 602, 3769, 535, 9760, 21687, 5370, 563, 6642, 272, 281, 590, 20672, 325, 3072, 717, 9529, 577, 28704, 729, 12912, 513, 7548, 693, 519, 2160, 540, 5899, 553, 7921, 1107, 513, 2990, 646, 1131, 711, 2965, 6445, 1813, 547, 519, 7092, 3361, 676, 968, 4944, 1400, 4616, 267, 519, 2068, 799, 8694, 1010, 1272, 3034, 6642, 272, 281, 898, 729, 4080, 2221, 602, 621, 814, 1044, 6069, 538, 6576, 968, 1729, 6966, 2199, 862, 3827, 547, 2015, 519, 6014, 2243, 538, 4025, 1141, 7642, 2392, 558, 3729, 3034, 6642, 272, 281, 4340, 547, 513, 2689, 540, 3776, 2817, 885, 676, 6276, 12844, 19213, 267, 30683, 3780, 267, 519, 13653, 540, 519, 30683, 2103, 968, 13195, 15982, 609, 15584, 3034, 6642, 273, 281, 5822, 543, 3803, 1554, 540, 519, 1101, 4139, 14640, 4149, 655, 12792, 6837, 799, 729, 5870, 538, 667, 637, 6577, 896, 519, 5718, 540, 1234, 3164, 526, 29747, 853, 4141, 14982, 563, 6642, 274, 281, 9478, 18671, 618, 15595, 267, 519, 30626, 605, 1661, 540, 519, 8274, 540, 11565, 4315, 540, 2701, 15162, 5840, 1767, 602, 519, 4666, 6674, 799, 814, 6854, 519, 4604, 689, 7446, 513, 1007, 5518, 568, 711, 3361, 676, 2192, 2914, 650, 1851, 519, 2818, 543, 602, 646, 1131, 538, 1249, 899, 547, 6445, 519, 5604, 269, 634, 4666, 6674, 6818, 1317, 972, 616, 3670, 3972, 4315, 543, 519, 30798, 568, 6236, 4657, 922, 676, 25237, 547, 2333, 602, 1297, 547, 476, 278, 799, 786, 1439, 519, 17063, 16018, 540, 519, 2063, 1896, 3275, 563, 6642, 274, 281, 898, 729, 4080, 2221, 602, 538, 21640, 267, 968, 1492, 21674, 540, 26751, 345, 27146, 814, 9783, 513, 29009, 4484, 538, 799, 646, 32141, 602, 4035, 1532, 320, 1746, 568, 1034, 17946, 2077, 1014, 563, 6642, 274, 263, 1015, 628, 540, 4432, 592, 267, 476, 276, 5038, 274, 264, 27535, 590, 4869, 344, 31644, 1032, 2025, 2997, 549, 327, 558, 962, 320, 752, 990, 17054, 2006, 267, 519, 5067, 540, 15887, 6798, 962, 529, 5361, 17054, 2006, 540, 681, 15120, 1506, 333, 267, 945, 729, 519, 1101, 1234, 321, 2041, 540, 519, 19759, 580, 3120, 13201, 573, 545, 15913, 5293, 2476, 2221, 563, 6642, 275, 281, 4317, 30168, 6307, 631, 269, 28137, 4843, 968, 320, 1957, 593, 12355, 1347, 885, 892, 547, 519, 1977, 4317, 5948, 892, 1141, 968, 527, 729, 3870, 2406, 4607, 267, 5941, 543, 3370, 3034, 6642, 278, 281, 17510, 11845, 540, 15656, 12138, 6431, 5652, 519, 5065, 540, 6576, 945, 6410, 547, 1715, 670, 13273, 538, 476, 6245, 271, 1141, 646, 2968, 513, 15818, 543, 19784, 563, 6245, 271, 281, 17510, 11845, 540, 21125, 3733, 518, 968, 22069, 892, 654, 4669, 29992, 267, 519, 1715, 3840, 5065, 945, 2968, 513, 3811, 7260, 16073, 563, 6245, 271, 281, 9478, 20607, 344, 267, 513, 9621, 1762, 6014, 18607, 945, 814, 6039, 593, 519, 8274, 540, 8111, 341, 2888, 568, 5275, 519, 9930, 1588, 585, 519, 12059, 13909, 10588, 454, 6245, 271, 281, 6004, 269, 631, 269, 1763, 1074, 4752, 267, 513, 6014, 19366, 689, 12996, 568, 2324, 538, 1715, 3840, 4975, 1247, 32261, 585, 519, 2132, 540, 1010, 7385, 543, 1453, 689, 12996, 269, 1358, 1185, 1044, 2366, 1394, 547, 2342, 1317, 540, 606, 5470, 693, 519, 645, 1618, 5604, 543, 621, 814, 3144, 519, 1655, 3646, 540, 519, 2136, 12355, 4077, 885, 543, 519, 31297, 12677, 13268, 564, 7412, 547, 1198, 519, 14232, 22653, 542, 563, 6245, 272, 281, 769, 606, 21107, 634, 5507, 8648, 26916, 519, 10325, 540, 968, 289, 16336, 670, 15077, 577, 585, 3935, 1944, 538, 3013, 519, 7642, 585, 7247, 972, 568, 1100, 1747, 538, 2342, 602, 621, 568, 519, 1034, 7415, 10325, 540, 519, 2186, 2479, 13986, 676, 4052, 2367, 1848, 634, 8648, 4718, 713, 607, 606, 1383, 540, 6014, 3401, 547, 892, 6108, 2724, 607, 1252, 3585, 607, 789, 666, 18645, 621, 3034, 6245, 272, 281, 968, 8624, 517, 1944, 519, 7642, 892, 3370, 2221, 10530, 519, 5507, 8648, 607, 6031, 602, 968, 1492, 10325, 540, 31578, 670, 15077, 577, 585, 3935, 1944, 538, 3013, 519, 7642, 585, 972, 568, 1100, 1747, 538, 2342, 2507, 529, 519, 1034, 7415, 10325, 540, 519, 2186, 2479, 13986, 676, 4052, 2367, 3034, 6245, 273, 281, 769, 1715, 3840, 267, 594, 6767, 808, 777, 515, 543, 15656, 12928, 641, 325, 5795, 4332, 547, 21238, 589, 269, 12928, 641, 325, 267, 13653, 540, 21238, 12928, 641, 325, 267, 5549, 1421, 519, 4583, 1977, 13629, 2777, 269, 968, 3891, 4682, 547, 2852, 547, 1831, 513, 15818, 267, 855, 646, 8593, 538, 2648, 609, 3332, 543, 4956, 547, 25058, 1010, 1272, 547, 621, 269, 2311, 519, 942, 267, 519, 13629, 1158, 729, 513, 2186, 540, 9543, 5443, 781, 8630, 543, 12928, 641, 325, 1185, 513, 2182, 942, 17501, 538, 1317, 646, 729, 6014, 269, 1261, 729, 519, 1101, 6014, 9441, 693, 8935, 16940, 599, 269, 2290, 540, 1010, 1101, 3785, 729, 547, 1065, 889, 1501, 782, 540, 9478, 1230, 2784, 781, 2835, 538, 513, 1305, 267, 799, 646, 1705, 609, 519, 948, 540, 670, 11482, 269, 9093, 1188, 523, 269, 2311, 519, 942, 602, 12928, 641, 325, 3893, 883, 519, 13629, 1870, 267, 1354, 8613, 543, 7839, 5925, 267, 1004, 1767, 602, 4892, 4769, 1405, 1224, 2835, 9789, 344, 1175, 1224, 519, 14786, 269, 12928, 641, 325, 2219, 602, 4892, 1522, 581, 811, 2693, 547, 1224, 1434, 2835, 952, 2835, 941, 4190, 547, 1413, 693, 269, 1261, 1031, 4190, 267, 2653, 547, 1224, 1826, 543, 1164, 2298, 1957, 267, 543, 646, 729, 519, 1101, 17404, 547, 3382, 1010, 2835, 609, 29116, 11954, 13544, 1115, 269, 1879, 12928, 641, 325, 8547, 1010, 1378, 13629, 2754, 267, 646, 4769, 1405, 723, 2614, 2724, 547, 15476, 2462, 268, 4067, 1977, 4589, 267, 865, 646, 3370, 3864, 4589, 3079, 269, 4107, 1977, 21101, 4769, 1405, 1416, 827, 3864, 3332, 267, 865, 12928, 641, 325, 729, 2111, 547, 10464, 569, 15476, 5830, 899, 7338, 28553, 267, 30686, 918, 2378, 6390, 267, 543, 15751, 6682, 639, 269, 1879, 1896, 540, 1010, 4589, 4465, 519, 17587, 15356, 585, 9085, 267, 21238, 589, 269, 12928, 641, 325, 5549, 269, 2968, 1634, 607, 835, 540, 519, 1655, 5339, 13629, 8075, 1848, 898, 729, 1010, 6014, 7385, 2349, 534, 3832, 16423, 12928, 641, 325, 945, 9415, 1864, 547, 1246, 1010, 5326, 543, 1376, 1010, 1378, 13629, 2777, 269, 2701, 729, 811, 982, 1175, 513, 17869, 548, 14575, 269, 2701, 729, 5518, 540, 21238, 589, 269, 12928, 641, 325, 267, 1247, 1200, 9393, 6039, 607, 28579, 540, 519, 4604, 269, 2701, 6956, 519, 13629, 543, 729, 513, 6117, 3196, 3297, 1082, 540, 922, 2101, 10781, 269, 4014, 519, 13629, 2754, 729, 4421, 538, 519, 476, 3422, 271, 781, 621, 3788, 607, 513, 1634, 29501, 547, 713, 1554, 269, 2349, 534, 3832, 5747, 538, 476, 3422, 277, 269, 21238, 12928, 641, 325, 5293, 2476, 538, 476, 2735, 275, 563, 6245, 273, 281, 2986, 519, 476, 2568, 273, 27464, 720, 15915, 945, 1305, 13743, 689, 20506, 23051, 2221, 20829, 519, 9399, 18518, 616, 968, 320, 18797, 6739, 543, 14470, 7642, 892, 945, 6170, 12964, 2395, 538, 519, 2296, 2823, 968, 3602, 741, 28945, 543, 9126, 16372, 941, 21149, 539, 892, 607, 851, 540, 519, 8942, 547, 2057, 513, 26601, 5028, 12176, 563, 6245, 274, 263, 273, 526, 540, 570, 880, 516, 328, 267, 476, 276, 4792, 275, 2567, 2201, 519, 5822, 4303, 540, 681, 9655, 25300, 534, 1695, 968, 1492, 12355, 7239, 892, 540, 1715, 3840, 968, 338, 550, 2507, 534, 11606, 540, 29535, 9313, 892, 547, 968, 1492, 6014, 11082, 1033, 7134, 693, 32762, 6816, 3034, 6245, 274, 281, 968, 5445, 9701, 2142, 1401, 7672, 892, 3370, 2221, 2882, 32461, 689, 519, 1867, 676, 13149, 11233, 13163, 28018, 528, 267, 3220, 269, 29918, 12121, 945, 4330, 519, 7642, 607, 1373, 851, 540, 519, 968, 1495, 525, 10928, 1362, 540, 11082, 2507, 15367, 616, 513, 4158, 267, 2220, 14390, 344, 5198, 609, 1279, 4158, 796, 651, 332, 696, 4552, 1848, 769, 1840, 547, 799, 968, 1492, 7642, 786, 711, 3548, 1426, 5423, 676, 10271, 267, 3142, 741, 1426, 609, 873, 543, 713, 1426, 568, 1034, 2693, 547, 2270, 26601, 5028, 17900, 1848, 630, 1103, 1769, 540, 519, 11776, 6370, 8151, 538, 519, 2136, 2276, 267, 519, 18939, 540, 713, 24379, 1362, 1522, 798, 1134, 547, 2628, 2673, 3007, 547, 713, 994, 6245, 275, 281, 14062, 13983, 839, 3966, 945, 267, 2687, 547, 6014, 2245, 267, 1185, 711, 2938, 519, 1560, 540, 1010, 7385, 1354, 1200, 19746, 4682, 547, 18301, 6019, 11233, 19101, 602, 789, 1185, 2016, 1864, 519, 4636, 1560, 543, 14053, 602, 789, 2285, 1864, 1010, 7385, 282, 513, 3409, 602, 519, 6413, 17792, 563, 6245, 276, 263, 2537, 6113, 540, 4432, 592, 267, 476, 276, 4792, 276, 2567, 17823, 1399, 1032, 2025, 12672, 14551, 6301, 10045, 945, 3357, 547, 519, 2136, 2276, 476, 1839, 1296, 3516, 543, 3323, 2324, 538, 519, 12948, 1870, 5293, 2476, 269, 589, 4759, 540, 519, 12924, 10345, 2094, 476, 6942, 280, 646, 814, 1044, 8362, 3238, 609, 519, 31578, 632, 670, 15077, 577, 8750, 267, 519, 12355, 14502, 4659, 543, 519, 12355, 12409, 19137, 563, 6245, 276, 281, 968, 23219, 9737, 5565, 1809, 7129, 892, 3370, 2221, 4330, 513, 6370, 1063, 1079, 15712, 8402, 590, 1715, 2006, 543, 15656, 700, 755, 321, 14575, 799, 3769, 25197, 725, 676, 1142, 602, 519, 824, 729, 9513, 911, 604, 630, 12061, 11860, 657, 615, 264, 5779, 543, 19101 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3009, 269, 1280, 513, 1804, 11015, 267, 713, 1223, 1491, 513, 1247, 269, 769, 971, 513, 11015, 2507, 1403, 707, 6085, 3096, 606, 3239, 607, 519, 2626, 630, 7945, 607, 6061, 513, 28618, 267, 3092, 264, 596, 666, 1331, 519, 2262, 834, 13548, 257, 3079, 540, 1210, 513, 24401, 8814, 11090, 269, 2353, 4267, 2408, 693, 519, 1439, 540, 713, 2985, 269, 769, 513, 6093, 11015, 267, 972, 568, 513, 835, 3562, 14633, 19359, 1063, 2560, 2480, 2651, 1524, 585, 513, 23319, 543, 2417, 1524, 585, 519, 2626, 269, 4841, 3313, 799, 8870, 2418, 2099, 2016, 5022, 538, 6939, 15162, 332, 269, 769, 6939, 541, 10379, 1966, 267, 519, 9704, 630, 271, 268, 280, 264, 1205, 2655, 21114, 676, 930, 2009, 26897, 610, 6698, 269, 2659, 2816, 568, 547, 2048, 28755, 1188, 519, 3009, 8730, 865, 547, 3717, 267, 547, 1265, 856, 1018, 568, 519, 7857, 602, 1142, 5022, 2099, 269, 15303, 541, 10379, 9046, 269, 9137, 676, 10658, 26072, 547, 7179, 269, 4595, 267, 1142, 4484, 538, 519, 6939, 15162, 332, 4564, 835, 540, 519, 9704, 476, 271, 998, 476, 280, 267, 865, 676, 4946, 519, 9704, 267, 621, 666, 3132, 513, 1079, 7857, 1297, 689, 476, 1015, 547, 476, 866, 269, 15303, 15162, 916, 269, 1656, 865, 634, 10658, 14794, 19964, 616, 4535, 256, 589, 6939, 541, 10379, 11015, 568, 513, 1297, 11015, 538, 799, 513, 1895, 540, 818, 603, 5471, 673, 4238, 814, 930, 610, 782, 540, 922, 9704, 8719, 676, 5022, 610, 6698, 267, 543, 1141, 519, 3355, 9704, 1590, 581, 1336, 269, 769, 1250, 6939, 15162, 332, 267, 972, 616, 476, 1015, 5022, 281, 595, 267, 744, 267, 700, 267, 631, 267, 589, 267, 570, 267, 670, 267, 645, 267, 717, 267, 543, 661, 269, 4635, 476, 1015, 9704, 3947, 476, 274, 267, 277, 2764, 267, 8517, 2009, 32545, 269, 1703, 616, 519, 9238, 540, 6939, 541, 10379, 2042, 602, 835, 1590, 917, 269, 2608, 2608, 2608, 2608, 2608, 2608, 2608, 8382, 281, 10658, 14794, 513, 4303, 589, 1007, 11015, 267, 678, 1497, 267, 3014, 610, 4277, 22619, 4226, 11540, 1169, 1554, 269, 1403, 519, 1482, 4484, 4386, 811, 982, 2899, 267, 621, 1590, 581, 8655, 519, 1482, 7857, 1142, 942, 269, 589, 696, 3363, 2055, 609, 3435, 269, 769, 1022, 2013, 267, 519, 7366, 7857, 538, 519, 2040, 267, 6719, 676, 645, 538, 938, 1383, 267, 1590, 581, 476, 272, 269, 18937, 5984, 299, 18937, 5984, 299, 589, 6939, 15162, 332, 568, 1175, 513, 2979, 11015, 610, 513, 2979, 678, 1497, 269, 6333, 519, 1739, 6939, 15162, 332, 11015, 269, 589, 2241, 1383, 540, 21229, 12185, 678, 1497, 568, 1323, 4367, 547, 11015, 6061, 267, 29395, 543, 8100, 281, 1325, 874, 600, 2045, 10658, 14794, 3752, 591, 16534, 21229, 600, 7497, 538, 8454, 540, 513, 2034, 281, 1325, 874, 600, 2045, 10658, 14794, 31098, 5269, 707, 1378, 21229, 600, 7497, 676, 519, 19421, 281, 7734, 589, 14951, 540, 6939, 15162, 332, 2835, 281, 25103, 589, 3391, 547, 519, 1655, 10070, 540, 21229, 600, 7497, 593, 519, 5680, 15303, 15162, 332, 568, 513, 9135, 540, 6310, 13410, 538, 799, 519, 9704, 616, 8719, 676, 5022, 540, 519, 9904, 610, 824, 6698, 269, 1703, 616, 1079, 1913, 616, 2016, 543, 1776, 2262, 568, 2016, 606, 2626, 540, 1840, 585, 1346, 1079, 1913, 269, 589, 6939, 15162, 332, 568, 513, 1826, 540, 6310, 11015, 538, 799, 1034, 610, 782, 540, 519, 9704, 538, 513, 6310, 4082, 267, 971, 607, 513, 2040, 267, 616, 2655, 21114, 676, 5022, 610, 824, 6698, 269, 3767, 267, 1934, 779, 513, 3391, 547, 4194, 1346, 7294, 2042, 269, 594, 2877, 547, 1711, 930, 13410, 799, 941, 1187, 267, 543, 4769, 1406, 2154, 1022, 7463, 6310, 1702, 269, 667, 1824, 1796, 585, 513, 8918, 1448, 269, 1306, 594, 6557, 513, 10178, 540, 6939, 15162, 916, 543, 519, 10554, 3576, 1747, 538, 28631, 267, 594, 2813, 519, 1739, 11015, 269, 1656, 8259, 596, 917, 930, 1344, 538, 4434, 2443, 971, 607, 3347, 827, 1978, 5022, 2443, 543, 1982, 873, 883, 707, 6296, 267, 596, 4076, 3893, 547, 1449, 1169, 835, 269, 589, 2442, 1826, 540, 13410, 616, 1650, 13410, 269, 31598, 782, 596, 991, 568, 513, 2565, 1523, 281, 5903, 782, 2338, 2009, 585, 519, 4137, 543, 9004, 873, 835, 676, 835, 269, 3143, 1079, 1114, 5022, 949, 581, 8655, 519, 1482, 7857, 269, 1323, 2079, 540, 519, 3312, 11015, 6700, 519, 2489, 1505, 540, 6061, 513, 5266, 2241, 6939, 15162, 332, 281, 769, 519, 2034, 9864, 1587, 667, 6398, 589, 815, 667, 267, 8754, 589, 815, 476, 272, 269, 667, 6398, 595, 543, 661, 6398, 595, 1312, 1439, 538, 595, 282, 2094, 585, 1022, 1079, 9704, 476, 272, 1700, 280, 519, 1152, 2789, 602, 786, 3132, 713, 1267, 568, 2560, 15303, 15162, 332, 6096, 269, 769, 713, 6939, 15162, 332, 4976, 267, 1053, 4194, 476, 272, 2110, 2626, 1966, 269, 2913, 779, 1413, 693, 513, 1360, 2241, 21229, 600, 2045, 281, 19294, 266, 10933, 284, 289, 7417, 634, 4484, 645, 1590, 2099, 519, 7857, 476, 272, 267, 2094, 950, 596, 1039, 1079, 476, 273, 18251, 2338, 596, 3112, 7654, 1205, 513, 1297, 3677, 982, 476, 2735, 269, 898, 786, 1491, 1454, 942, 547, 1174, 891, 607, 891, 2042, 616, 2182, 865, 581, 3461, 543, 2285, 942, 547, 519, 6810, 543, 519, 3652, 540, 15303, 541, 10379, 17943, 267, 15303, 541, 10379, 5999, 269, 589, 1434, 1383, 568, 519, 3046, 828, 6300, 11015, 269, 7591, 9457, 332, 785, 23893, 10794, 7591, 1744, 17470, 4537, 334, 269, 630, 8450, 519, 4137, 2630, 4700, 898, 4422, 899, 713, 281, 834, 288, 2845, 6509, 609, 930, 942, 547, 6146, 538, 513, 1507, 4884, 4956, 547, 1205, 513, 688, 1844, 583, 269, 6732, 9498, 269, 15303, 15162, 332, 269, 1809, 267, 519, 2626, 568, 4947, 607, 744, 267, 799, 1797, 972, 1590, 581, 513, 4163, 689, 3105, 1900, 282, 1924, 267, 670, 1341, 476, 272, 12958, 513, 1297, 3436, 1015, 607, 1267, 568, 595, 744, 282, 1924, 267, 670, 1871, 568, 476, 280, 267, 543, 744, 1871, 786, 581, 670, 1341, 476, 272, 815, 476, 280, 1341, 476, 272, 815, 476, 271, 630, 272, 4163, 547, 1985, 1900, 264, 556, 8586, 519, 1966, 1586, 9747, 267, 519, 9937, 7857, 786, 581, 4163, 4464, 547, 519, 1985, 6241, 269, 15303, 15162, 916, 616, 2634, 29225, 619, 5833, 950, 9704, 538, 10230, 9273, 723, 1044, 8719, 676, 5022, 269, 6733, 338, 899, 2233, 8649, 29709, 547, 1331, 602, 3063, 2783, 538, 741, 476, 1001, 275, 1065, 11781, 540, 519, 11015, 269, 10658, 14794, 476, 13199, 15303, 15162, 332, 282, 10658, 14794, 476, 14338, 1323, 8183, 282, 10658, 14794, 476, 14096, 8562, 983, 2549, 874, 30965, 831, 282, 10658, 14794, 476, 15782, 17813, 2961, 667, 31034, 282, 10658, 14794, 476, 14530, 15303, 15162, 332, 282, 10658, 14794, 476, 15836, 6520, 9046, 282, 10658, 14794, 476, 15946, 15303, 6945, 282, 10658, 14794, 476, 16928, 14301, 24436, 282, 10658, 14794, 476, 15221, 15303, 15162, 332, 282, 10658, 14794, 476, 16960, 13379, 13809, 5358, 282, 10658, 14794, 476, 13893, 4258, 1087, 10658, 14794, 4595, 631, 543, 661, 616, 1079, 1114, 2338, 267, 789, 786, 6157, 581, 1256, 4130, 982, 476, 4200, 256, 7102, 1840, 267, 12408, 267, 8691, 267, 610, 6498, 1966, 666, 1831, 513, 6939, 15162, 332, 676, 13868, 519, 2338, 609, 5022, 267, 855, 519, 3283, 602, 1053, 543, 11015, 21962, 3100, 547, 2972, 519, 1034, 616, 1346, 602, 946, 1913, 602, 616, 4448, 538, 930, 1259, 269, 5851, 282, 6168, 282, 9612, 269, 634, 1843, 568, 547, 960, 856, 799, 2338, 5330, 547, 1142, 4484, 269, 6695, 3667, 346, 301, 12114, 348, 1422, 9392, 1422, 3667, 346, 8025, 12767, 348, 815, 1422, 3667, 346, 20911, 308, 293, 348, 1422, 9392, 1422, 3667, 346, 307, 4629, 3041, 6525, 1548, 568, 519, 1267, 540, 519, 8691, 286, 20603, 10632, 269, 6145, 922, 4408, 820, 267, 621, 568, 513, 2241, 14238, 1505, 1317, 649, 666, 1406, 4194, 891, 2042, 14678, 8259, 649, 3314, 519, 4267, 269, 15303, 15162, 332, 568, 6310, 11015, 538, 799, 519, 3804, 568, 547, 21264, 606, 12980, 1966, 538, 799, 5022, 723, 1044, 2655, 21114, 585, 10230, 9704, 269, 17949, 3054, 8206, 1452, 2042, 2154, 1236, 559, 995, 946, 540, 7954, 267, 1299, 519, 1702, 540, 1297, 3069, 1299, 7223, 269, 15303, 15162, 916, 267, 3006, 1634, 607, 21229, 600, 7497, 267, 616, 13410, 1141, 596, 616, 2016, 606, 818, 603, 5471, 673, 4082, 1141, 519, 9704, 723, 1044, 8719, 676, 5022, 267, 1142, 7857, 513, 1114, 4484, 269, 2608, 2608, 2608, 2608, 2608, 2608, 2608, 1849, 826, 281, 667, 284, 476, 278, 543, 661, 284, 476, 276, 269, 7756, 9704, 616, 1114, 5022, 269, 634, 1482, 4484, 6763, 585, 519, 1482, 7857, 2429, 519, 11015, 269, 11426, 3320, 267, 3982, 5022, 1796, 585, 1114, 9704, 269, 634, 4305, 540, 2870, 513, 6939, 15162, 6193, 11015, 568, 2352, 1299, 513, 4101, 835, 269, 513, 476, 273, 1341, 513, 476, 273, 536, 513, 513, 476, 276, 1341, 476, 275, 513, 536, 476, 279, 476, 14530, 269, 513, 284, 13090, 536, 284, 13090, 476, 15171, 269, 513, 284, 13090, 536, 284, 13090, 536, 513, 476, 276, 1341, 524, 476, 277, 476, 276, 476, 280, 536, 513, 536, 513, 513, 1341, 536, 476, 275, 476, 273, 513, 2073, 524, 536, 476, 274, 476, 15836, 269, 589, 812, 540, 5132, 11564, 519, 13411, 2244, 1141, 1614, 11454, 616, 25517, 538, 513, 4737, 5356, 513, 30642, 2820, 6541, 547, 519, 1747, 269, 3689, 267, 594, 3580, 2671, 519, 1614, 13410, 1455, 547, 782, 1614, 733, 3949, 269, 25827, 10658, 26072, 543, 11020, 1855, 553, 619, 609, 12226, 281, 2608, 10658, 26072, 6825, 609, 2608, 616, 10084, 20308, 10658, 26072, 269, 1325, 874, 600, 2045, 13410, 609, 4267, 1496, 14457, 316, 1325, 874, 600, 2045, 10658, 26072, 267, 1325, 874, 600, 2045, 10658, 26072, 616, 513, 1826, 540, 6310, 11015, 538, 799, 519, 9704, 538, 634, 2626, 568, 513, 476, 274, 7857, 1297, 865, 645, 1341, 476, 272, 1590, 1039, 547, 3436, 476, 280, 865, 972, 568, 513, 835, 5645, 269, 901, 568, 513, 6939, 15162, 332, 11015, 594, 1336, 538, 513, 6310, 16311, 538, 476, 1220, 275, 269, 769, 513, 6093, 11015, 267, 519, 1482, 4484, 610, 3090, 2141, 4564, 519, 1482, 7857, 269, 1280, 1383, 267, 952, 649, 3651, 519, 3197, 4358, 689, 519, 835, 779, 1747, 543, 3001, 547, 519, 2451, 267, 693, 1142, 3942, 267, 649, 666, 13182, 519, 2953, 1145, 540, 1018, 649, 723, 865, 2484, 1354, 649, 3136, 27477, 269, 15303, 15162, 916, 267, 610, 7638, 4472, 12980, 267, 616, 18839, 13410, 1141, 5022, 2099, 2189, 9704, 15545, 476, 16328, 269, 513, 284, 13090, 536, 284, 13090, 524, 284, 13090, 513, 284, 13090, 536, 284, 13090, 524, 284, 13090, 536, 513, 476, 279, 1341, 536, 513, 476, 279, 594, 1265, 519, 2012, 3617, 1317, 1142, 11015, 3322, 2542, 610, 6947, 547, 513, 1650, 543, 1287, 6061, 519, 1966, 269, 9612, 585, 281, 589, 15303, 15162, 332, 269, 6423, 4267, 11020, 569, 14871, 11020, 569, 14871, 589, 6939, 15162, 332, 568, 606, 12980, 11015, 538, 799, 1142, 7857, 540, 513, 4909, 5106, 568, 8655, 513, 17386, 4484, 607, 538, 513, 3009, 269, 2353, 13410, 941, 7318, 547, 1118, 2386, 789, 666, 581, 12193, 676, 1688, 543, 616, 11231, 538, 476, 274, 1114, 6688, 281, 1325, 874, 600, 7497, 282, 15303, 15162, 916, 910, 7043, 11638, 4124, 282, 15303, 15162, 916, 910, 7043, 6555, 2888, 282, 3962, 7121, 10525, 922, 13410, 538, 26799, 1931, 540, 7411, 269, 9509, 3259, 23769, 4255, 585, 570, 5425, 543, 824, 8668, 3549, 269, 634, 4484, 645, 1590, 2099, 519, 7857, 476, 272, 267, 2094, 950, 596, 1039, 1079, 476, 273, 18251, 2338, 596, 3112, 7654, 1205, 513, 1297, 3677, 982, 476, 2735, 269, 15303, 15162, 916, 616, 6310, 13410, 538, 799, 519, 9704, 538, 606, 12980, 4082, 616, 8719, 676, 5022, 540, 519, 9904, 269, 1215, 547, 4194, 15303, 541, 10379, 10658, 26072, 286, 11905, 281, 834, 19340, 547, 19556, 10819, 476, 3192, 276, 268, 3192, 280, 267, 12995, 676, 26304, 15887, 514, 578, 6308, 267, 4460, 14332, 1258, 2580, 10223, 9553, 269, 476, 279, 1341, 536, 513, 476, 279, 1341, 536, 513, 476, 279, 6732, 9498, 594, 1265, 2012, 269, 634, 2497, 540, 519, 11015, 2042, 476, 3192, 276, 268, 3192, 280, 267, 12995, 676, 26304, 15887, 514, 578, 6308, 267, 4460, 15234 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3444, 23811, 781, 991, 454, 825, 2132, 910, 339, 25403, 28802, 12169, 318, 1002, 3052, 1430, 263, 272, 267, 586, 269, 1613, 8987, 272, 267, 476, 272, 21875, 0, 454, 3698, 1205, 5091, 13424, 28840, 267, 562, 2187, 825, 2132, 1297, 12262, 476, 1015, 1262, 333, 4939, 476, 1015, 7531, 339, 787, 912, 825, 7127, 10831, 815, 703, 9272, 2891, 8923, 4283, 513, 3556, 1297, 281, 27328, 825, 3259, 2414, 18360, 815, 1193, 263, 18782, 10831, 994, 825, 3259, 815, 7003, 10857, 2654, 2414, 18360, 994, 825, 2040, 272, 815, 476, 271, 454, 825, 2040, 273, 815, 476, 271, 692, 825, 1101, 291, 13424, 815, 630, 842, 263, 18782, 10831, 1315, 630, 1015, 1262, 263, 26319, 268, 272, 4297, 4917, 825, 1101, 10521, 291, 13424, 815, 630, 842, 263, 18782, 10831, 1315, 630, 1015, 1262, 263, 26319, 268, 273, 4297, 11723, 825, 585, 1535, 538, 2039, 10857, 2654, 2187, 1038, 952, 1535, 260, 273, 2652, 476, 271, 912, 2018, 2040, 272, 6834, 1205, 5091, 13424, 263, 18782, 10831, 267, 1535, 2020, 1038, 952, 1535, 260, 273, 2652, 476, 272, 912, 2018, 1205, 19617, 815, 1205, 5091, 13424, 263, 18782, 10831, 267, 1535, 12684, 273, 454, 2018, 952, 1205, 19617, 3436, 476, 280, 912, 3546, 2040, 273, 815, 2040, 273, 1341, 1205, 5091, 13424, 263, 1326, 19617, 267, 476, 271, 264, 1341, 1205, 5091, 13424, 263, 1326, 19617, 267, 476, 272, 994, 2018, 3116, 912, 3546, 2040, 273, 815, 2040, 273, 1341, 1205, 19617, 692, 825, 3803, 11764, 815, 2040, 272, 1341, 2040, 273, 692, 825, 952, 1205, 5091, 13424, 6600, 1400, 11764, 267, 476, 271, 264, 2652, 476, 271, 912, 1038, 1820, 2891, 11749, 573, 9315, 543, 519, 3556, 1826, 568, 281, 1422, 333, 5602, 1038, 1820, 10857, 2654, 994, 1038, 952, 476, 1321, 2999, 3259, 2999, 476, 1704, 912, 2018, 1948, 6250, 320, 476, 1724, 547, 476, 1626, 9704, 6238, 609, 476, 275, 454, 2018, 952, 1101, 291, 13424, 2652, 476, 275, 912, 3546, 1820, 2891, 309, 13453, 5602, 2018, 1948, 2549, 1410, 476, 1428, 9704, 267, 6238, 609, 476, 4097, 543, 476, 4391, 454, 2018, 952, 3259, 2652, 476, 1428, 543, 630, 14140, 10521, 291, 13424, 2652, 476, 4097, 610, 1101, 10521, 291, 13424, 2652, 476, 4391, 2187, 3546, 1820, 2891, 4456, 13052, 5602, 2018, 1948, 9457, 9315, 476, 1626, 9704, 267, 6238, 609, 476, 7906, 547, 476, 4649, 454, 2018, 952, 3259, 2652, 476, 1626, 543, 630, 2004, 2999, 1101, 10521, 291, 13424, 2999, 476, 6321, 2187, 3546, 1820, 2891, 22913, 9315, 15419, 825, 3116, 912, 1038, 1820, 2891, 1103, 20777, 9315, 5602, 21955, 28759, 912, 825, 1820, 2891, 8923, 4283, 513, 4570, 2338, 15419, 0, 26611, 23591, 24800, 270, 7090, 454, 258, 16344, 17575, 281, 1362, 14818, 4905, 18258, 692, 5035, 12287, 912, 453, 28134, 815, 476, 271, 692, 22592, 6449, 8181, 9191, 1345, 267, 2012, 2187, 453, 19677, 20508, 815, 2012, 454, 453, 453, 31094, 21014, 1637, 6834, 476, 272, 692, 22592, 6449, 23437, 9191, 1345, 2187, 453, 453, 31094, 21014, 1637, 20699, 476, 272, 454, 453, 14851, 12287, 21014, 1637, 2652, 476, 271, 912, 4848, 13537, 1412, 296, 993, 519, 2063, 835, 1268, 25692, 453, 28432, 912, 4848, 13537, 1412, 2467, 616, 4939, 323, 1268, 1459, 9538, 4939, 263, 31094, 21014, 1637, 2020, 22592, 2161, 17098, 4311, 2187, 453, 13537, 1412, 15916, 267, 1250, 2012, 568, 3299, 1582, 20508, 7531, 17367, 272, 815, 12287, 3488, 25402, 5073, 17367, 272, 4732, 599, 17098, 10797, 17367, 273, 815, 12287, 3488, 9802, 334, 5073, 17367, 273, 4732, 599, 17098, 10797, 23437, 1268, 272, 454, 23437, 1268, 273, 19638, 0, 26611, 23591, 24800, 270, 7090, 692, 6112, 6936, 912, 453, 338, 815, 6151, 17750, 2891, 11767, 5569, 281, 19515, 14851, 521, 2652, 1412, 10181, 12466, 453, 13537, 1412, 10181, 7055, 453, 453, 19874, 3248, 12828, 912, 13537, 1412, 6112, 8520, 568, 936, 256, 28847, 2745, 1412, 291, 821, 256, 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 ]
[ 269, 1548, 568, 519, 6207, 1871, 540, 476, 1015, 286, 1772, 621, 476, 280, 286, 5221, 602, 781, 519, 3845, 1063, 476, 1015, 543, 476, 272, 593, 513, 1297, 1899, 780, 9989, 602, 948, 2496, 272, 269, 26461, 491, 476, 271, 454, 273, 269, 26461, 492, 476, 271, 454, 14006, 539, 676, 6424, 1627, 692, 1012, 5381, 5999, 692, 272, 269, 12693, 4569, 692, 1432, 616, 19450, 267, 7787, 267, 543, 2067, 2338, 286, 589, 7787, 1297, 568, 513, 1297, 602, 666, 581, 2854, 607, 513, 5223, 269, 2334, 1797, 621, 666, 581, 2854, 607, 513, 6824, 267, 538, 799, 1312, 519, 19362, 630, 1492, 1297, 593, 1283, 264, 543, 519, 14009, 630, 1492, 692, 24216, 676, 3627, 4168, 593, 5130, 476, 3066, 267, 476, 1220, 278, 454, 273, 269, 12693, 7223, 692, 6701, 519, 1739, 3020, 610, 7301, 286, 476, 272, 269, 634, 3017, 540, 1079, 2067, 2338, 568, 2141, 513, 2067, 1297, 269, 476, 273, 269, 634, 2040, 540, 1079, 2067, 2338, 568, 2141, 513, 2067, 1297, 269, 476, 274, 269, 634, 23479, 540, 1079, 2067, 2338, 568, 2141, 513, 2067, 1297, 780, 24216, 676, 9291, 593, 5181, 476, 278, 267, 476, 1001, 271, 692, 272, 269, 1234, 13905, 1246, 519, 1876, 540, 5726, 540, 2527, 269, 513, 4700, 6936, 536, 4700, 8771, 8382, 281, 6936, 476, 273, 269, 1234, 716, 1218, 616, 519, 2326, 1031, 538, 513, 3114, 5114, 269, 513, 4700, 6936, 536, 4700, 8771, 8382, 281, 6936, 476, 274, 269, 769, 513, 3114, 3830, 267, 519, 2527, 593, 519, 2451, 540, 692, 24216, 676, 22216, 2643, 593, 4989, 476, 273, 267, 476, 1001, 272, 454, 275, 269, 12693, 4569, 5403, 518, 5741, 692, 296, 723, 798, 2347, 513, 16968, 585, 2979, 855, 594, 723, 930, 14845, 5528, 693, 1101, 269, 7490, 948, 803, 1174, 543, 1683, 606, 1383, 1210, 519, 8846, 2630, 602, 941, 2016, 547, 803, 281, 7994, 2185, 7787, 2338, 269, 2311, 2547, 1079, 540, 692, 24216, 676, 12287, 593, 5239, 476, 276, 267, 476, 1001, 274, 454, 276, 269, 12693, 2979, 692, 8923, 2638, 269, 630, 275, 15383, 317, 273, 7565, 274, 343, 28260, 275, 344, 317, 276, 264, 815, 476, 1321, 343, 28260, 274, 344, 317, 278, 630, 273, 343, 8203, 276, 630, 274, 343, 8203, 273, 815, 476, 25971, 343, 317, 278, 11196, 274, 343, 317, 273, 8203, 275, 815, 476, 10037, 343, 317, 279, 6936, 610, 8771, 281, 519, 1305, 540, 9981, 568, 513, 15410, 540, 519, 1305, 540, 2067, 2338, 269, 8771, 2353, 2338, 616, 1483, 2338, 269, 6936, 692, 24216, 676, 20822, 593, 4864, 476, 2641, 267, 476, 1220, 279, 454, 277, 269, 12693, 4569, 692, 12148, 610, 7301, 630, 13765, 264, 589, 269, 2353, 9981, 616, 2067, 2338, 674, 3201, 10345, 645, 269, 2353, 7787, 2338, 616, 9981, 13138, 16604, 595, 269, 2353, 2067, 2338, 616, 2898, 2338, 13138, 16604, 667, 269, 2353, 7787, 2338, 616, 5072, 674, 3201, 10345, 692, 24216, 676, 631, 850, 6511, 593, 5988, 476, 2764, 267, 476, 1001, 278, 454, 278, 269, 12693, 2979, 692, 263, 275, 15383, 317, 273, 7565, 274, 343, 28260, 275, 344, 317, 276, 264, 815, 476, 1321, 343, 28260, 274, 344, 317, 278, 630, 273, 343, 8203, 276, 630, 274, 343, 8203, 273, 815, 476, 25971, 343, 317, 278, 11196, 274, 343, 317, 273, 8203, 275, 815, 476, 10037, 343, 317, 279, 6936, 610, 8771, 281, 519, 1305, 540, 9981, 568, 513, 15410, 540, 519, 1305, 540, 2067, 2338, 269, 8771, 2353, 2338, 616, 1483, 2338, 269, 6936, 692, 24216, 676, 20822, 593, 4864, 476, 2641, 267, 476, 1220, 279, 454, 279, 269, 12693, 4569, 692, 1432, 568, 476, 276, 270, 280, 2854, 607, 513, 8918, 286, 476, 271, 269, 3393, 476, 271, 269, 275, 18110, 476, 271, 269, 276, 476, 271, 269, 276, 18110, 1548, 568, 476, 271, 269, 2918, 2854, 607, 513, 6824, 538, 14724, 1106, 286, 476, 2918, 936, 476, 1911, 476, 1724, 936, 476, 2004, 476, 2918, 936, 476, 1015, 476, 1724, 936, 476, 1839, 769, 513, 6824, 609, 513, 14009, 540, 476, 1428, 267, 6518, 1871, 1223, 519, 692, 24216, 676, 6435, 20444, 4732, 826, 593, 5239, 476, 273, 267, 476, 1001, 278, 454, 280, 269, 12693, 10789, 692, 272, 269, 7994, 519, 2953, 3070, 538, 887, 3122, 1106, 269, 715, 568, 519, 1305, 540, 2067, 2338, 602, 616, 2188, 540, 476, 1321, 269, 2715, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 277, 348, 2715, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 277, 267, 476, 1321, 348, 2715, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 279, 267, 476, 1321, 348, 2608, 10472, 568, 1250, 2626, 2715, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 267, 476, 279, 267, 476, 1015, 267, 476, 1556, 267, 476, 1321, 348, 476, 273, 269, 3503, 692, 24216, 676, 28120, 918, 9774, 593, 5412, 476, 1321, 267, 476, 1001, 277, 454, 1015, 269, 12693, 10789, 692, 12148, 610, 7301, 286, 20134, 2338, 616, 6806, 896, 1840, 269, 12315, 513, 1293, 699, 343, 2217, 6936, 610, 7301, 286, 11788, 2338, 616, 6806, 896, 12408, 269, 12315, 513, 1293, 699, 343, 2217, 6936, 610, 7301, 286, 7849, 2338, 616, 6806, 896, 6498, 269, 12315, 513, 692, 24216, 676, 918, 15811, 593, 4864, 476, 1428, 267, 476, 1001, 277, 692, 5415, 5381, 5999, 0, 258, 18983, 16615, 540, 1617, 529, 564, 692, 1692, 1082, 476, 279, 268, 11279, 16615, 616, 972, 540, 519, 5022, 540, 519, 2262, 1412, 4696, 11403, 8577, 2464, 262, 2496, 7069, 1837, 5267, 602, 649, 1058, 7941, 519, 3510, 883, 2665, 1141, 513, 1114, 4484, 568, 6569, 269, 769, 824, 1913, 267, 585, 519, 1617, 529, 564, 4399, 346, 272, 1422, 10383, 589, 267, 476, 273, 1422, 10383, 667, 267, 476, 272, 1422, 10383, 681, 267, 476, 273, 1422, 10383, 661, 267, 476, 274, 1422, 10383, 590, 315, 20954, 649, 1293, 519, 1297, 540, 32089, 540, 519, 1246, 1305, 1384, 272, 269, 4399, 346, 271, 1422, 10383, 589, 267, 476, 273, 1422, 10383, 667, 267, 476, 272, 1422, 10383, 681, 267, 476, 273, 1422, 10383, 661, 267, 476, 274, 1422, 10383, 590, 315, 21456, 273, 269, 4399, 346, 272, 1422, 10383, 589, 267, 476, 272, 1422, 10383, 667, 267, 476, 272, 1422, 10383, 681, 267, 476, 273, 1422, 10383, 661, 267, 476, 274, 1422, 10383, 590, 315, 21456, 274, 269, 4399, 346, 272, 1422, 10383, 589, 267, 476, 273, 1422, 10383, 667, 267, 476, 271, 1422, 10383, 681, 267, 476, 273, 1422, 10383, 661, 267, 476, 274, 1422, 10383, 590, 315, 21456, 275, 269, 4399, 346, 272, 1422, 10383, 589, 267, 476, 273, 1422, 10383, 667, 267, 476, 272, 1422, 10383, 681, 267, 476, 272, 1422, 10383, 661, 267, 476, 274, 1422, 10383, 590, 315, 21456, 276, 269, 4399, 346, 272, 1422, 10383, 589, 267, 476, 273, 1422, 10383, 667, 267, 476, 272, 1422, 10383, 681, 267, 476, 273, 1422, 10383, 661, 267, 476, 273, 1422, 10383, 590, 315, 10592, 2005, 568, 2653, 547, 1397, 602, 519, 2698, 1297, 540, 476, 279, 268, 11279, 16615, 568, 1269, 14681, 736, 10608, 594, 993, 711, 6126, 609, 713, 2013, 1673, 1204, 532, 19106, 543, 594, 1616, 547, 723, 513, 1463, 19106, 540, 519, 1267, 269, 6452, 1211, 958, 267, 594, 1265, 602, 3230, 290, 318, 279, 317, 280, 21702, 346, 279, 256, 2410, 273, 256, 273, 256, 274, 256, 13157, 14681, 736, 269, 2330, 594, 2417, 1449, 713, 4542, 267, 552, 3052, 269, 476, 274, 268, 11279, 16615, 540, 513, 1617, 529, 564, 609, 476, 275, 2609, 267, 543, 621, 2965, 1568, 269, 1924, 594, 1589, 972, 1058, 581, 513, 8799, 7778, 1946, 519, 4542, 1568, 269, 2052, 4896, 2491, 602, 585, 803, 2496, 1892, 901, 568, 513, 1434, 8343, 269, 1306, 3254, 538, 519, 4267, 2630, 267, 519, 1297, 540, 32545, 540, 513, 2262, 609, 562, 5022, 568, 519, 1482, 607, 519, 1297, 540, 562, 268, 272, 32545, 540, 519, 2262, 269, 1290, 7757, 9484, 476, 1626, 267, 476, 1001, 276, 693, 476, 736, 281, 876, 454, 1892, 1290, 7757, 7325, 476, 272, 267, 476, 1708, 273, 693, 476, 1240, 281, 6321, 454, 1892, 1107, 1109, 12528, 12893, 28318, 280, 454, 4467, 7757, 4924, 476, 1704, 267, 476, 1708, 274, 693, 476, 1556, 281, 5325, 692, 2304, 15821, 3070, 692, 763, 32545, 540, 782, 476, 280, 5022, 3144, 1927, 815, 4399, 13320, 346, 280, 256, 2410, 272, 256, 273, 256, 272, 256, 273, 256, 274, 256, 18098, 13320, 346, 280, 256, 2410, 320, 256, 321, 256, 322, 256, 323, 256, 324, 256, 20954, 2161, 692, 8867, 3058, 476, 272, 4484, 693, 513, 942, 267, 649, 1205, 1269, 279, 256, 315, 3847, 24560, 13320, 346, 272, 2410, 263, 320, 268, 272, 25631, 321, 256, 322, 256, 323, 256, 324, 256, 348, 1341, 1422, 13320, 346, 272, 2410, 320, 256, 263, 321, 268, 272, 25631, 322, 256, 323, 256, 324, 256, 348, 1547, 1547, 1547, 1341, 315, 13320, 346, 272, 2410, 320, 256, 321, 256, 322, 256, 323, 256, 263, 324, 268, 272, 25631, 4153, 2431, 316, 6911, 21607, 1154, 896, 513, 1455, 14009, 267, 649, 1205, 1269, 279, 256, 315, 3847, 24560, 13320, 21151, 17070, 25239, 266, 323, 266, 324, 2410, 320, 256, 321, 256, 322, 256, 323, 256, 324, 256, 348, 1422, 2431, 316, 6911, 3719, 1269, 320, 17070, 25239, 266, 323, 266, 324, 815, 476, 280, 8961, 865, 23099, 907, 596, 1058, 581, 2111, 547, 1294, 519, 1439, 780, 2414, 14458, 267, 649, 666, 4734, 519, 8691, 3815, 607, 476, 280, 2864, 982, 20270, 280, 315, 577, 5366, 476, 279, 10592, 288, 2036, 13541, 545, 3070, 692, 5331, 1269, 280, 259, 3982, 2010, 540, 17711, 31002, 1269, 272, 259, 547, 1269, 280, 259, 1373, 7856, 547, 1269, 276, 259, 1453, 267, 2338, 2016, 547, 513, 1126, 18159, 272, 268, 272, 268, 273, 268, 273, 268, 274, 7751, 1759, 593, 630, 25669, 264, 2085, 267, 1826, 4433, 264, 2016, 547, 513, 1880, 1126, 4351, 780, 2171, 15814, 519, 31496, 835, 676, 835, 269, 2991, 649, 723, 7856, 1269, 279, 259, 31496, 267, 972, 568, 1152, 835, 1259, 547, 15814, 519, 2063, 835, 780, 3383, 2436, 649, 2965, 15814, 519, 2063, 835, 610, 711, 267, 519, 2698, 1297, 540, 2081, 547, 15814, 3788, 519, 1482, 267, 4399, 13320, 346, 280, 256, 2410, 272, 256, 272, 256, 273, 256, 273, 256, 274, 256, 10592, 1892, 1411, 11540, 606, 12995, 4528, 540, 713, 2626, 2663, 267, 865, 596, 666, 18419, 713, 835, 269, 1290, 7757, 9484, 476, 1626, 267, 476, 1001, 276, 693, 476, 866, 281, 5881, 454, 1892, 7711, 307, 320, 1380, 580, 281, 12552, 267, 4769, 1405, 917, 602, 2025, 3070, 2982, 1247, 594, 993, 11049, 269, 4427, 2466, 1154, 513, 1114, 1826, 540, 3070, 1290, 7757, 9484, 476, 1626, 267, 476, 1001, 276, 693, 476, 866, 281, 1839, 454, 1892, 594, 1589, 713, 568, 519, 834, 333, 823, 257, 2626, 267, 4352, 519, 834, 531, 5040, 545, 257, 4528, 568, 711, 1932, 1454, 1114, 538, 6240, 269, 1290, 7757, 9484, 476, 1626, 267, 476, 1001, 276, 693, 476, 866, 281, 7367, 692, 2026, 596, 4767, 630, 514, 513, 6085, 593, 513, 1114, 2626, 1070, 519, 1297, 540, 476, 279, 268, 11279, 20706, 540, 713, 1617, 529, 564, 568, 3160, 547, 519, 1297, 540, 476, 280, 268, 11279, 20706, 269, 1306, 7074, 538, 1776, 2626, 267, 649, 666, 1397, 602, 713, 568, 3020, 676, 11287, 602, 1169, 476, 280, 268, 11279, 16615, 666, 581, 25528, 547, 606, 476, 279, 268, 11279, 16615, 676, 21177, 519, 2063, 4484, 282, 543, 519, 11201, 540, 713, 11837, 6818, 630, 13678, 2952, 1039, 1394, 519, 4484, 602, 729, 12628, 282, 972, 568, 1152, 835, 2009, 1259, 547, 798, 713, 1070, 865, 621, 568, 835, 3562, 14633, 543, 5196, 543, 519, 1079, 5036, 540, 10659, 723, 3160, 2450, 780, 1607, 568, 513, 2489, 8343, 602, 568, 3020, 585, 1022, 476, 280, 268, 12072, 2262, 780, 763, 2601, 711, 547, 11716, 519, 1505, 540, 519, 1433, 568, 602, 519, 834, 821, 30924, 257, 1505, 1568, 538, 2489, 1152, 585, 18159, 333, 268, 272, 7751, 268, 11279, 20706, 630, 663, 540, 1576, 1269, 333, 27572, 11279, 20706, 264, 540, 606, 1269, 333, 27572, 12072, 2262, 269, 1403, 596, 941, 3168 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12811, 25974, 3522, 454, 331, 4565, 7272, 7967, 657, 815, 22443, 20172, 267, 1257, 815, 834, 396, 509, 21268, 12811, 25974, 2580, 13944, 815, 1412, 25106, 476, 1015, 5073, 331, 4565, 7272, 7967, 657, 269, 2897, 3287, 815, 476, 8517, 267, 586, 815, 476, 276, 2020, 258, 20413, 20046, 18547, 16044, 483, 10780, 21268, 12811, 25974, 3522, 454, 331, 4565, 7272, 7967, 657, 13448, 815, 22443, 20172, 267, 1257, 815, 834, 396, 509, 3378, 2843, 508, 396, 354, 2580, 13944, 815, 1412, 25106, 476, 1015, 5073, 331, 4565, 7272, 7967, 657, 13448, 269, 2897, 3287, 815, 476, 278, 1015, 267, 586, 815, 476, 1839, 2020, 258, 10780, 17201, 3264, 2843, 354, 10780, 21268, 12811, 25974, 3522, 454, 335, 7967, 657, 13448, 815, 28678, 20172, 267, 8700, 815, 476, 277, 994, 335, 7967, 657, 13448, 269, 2897, 3287, 815, 476, 31318, 267, 586, 815, 476, 1839, 2020, 258, 20413, 20046, 18547, 2843, 352, 10780, 21268, 12811, 25974, 3522, 454, 331, 4565, 7272, 7967, 657, 14729, 815, 22443, 20172, 267, 1257, 815, 834, 396, 509, 3378, 2843, 508, 396, 352, 2580, 13944, 815, 1412, 25106, 476, 1015, 5073, 331, 4565, 7272, 7967, 657, 14729, 269, 2897, 3287, 815, 476, 279, 736, 267, 586, 815, 476, 1839, 2020, 258, 10780, 17201, 3264, 2843, 352, 10780, 21268, 12811, 25974, 3522, 454, 335, 7967, 657, 14729, 815, 28678, 20172, 267, 8700, 815, 476, 277, 994, 335, 7967, 657, 14729, 269, 2897, 3287, 815, 476, 279, 3583, 267, 586, 815, 476, 1839, 2020, 258, 17095, 4709, 5284, 379, 18547, 10780, 21268, 12811, 25974, 3522, 454, 23336, 333, 7272, 7967, 657, 815, 29502, 20172, 267, 1257, 815, 834, 396, 509, 21268, 12811, 3264, 13150, 4138, 2580, 8700, 815, 476, 2420, 267, 4463, 815, 476, 272, 267, 536, 326, 815, 1412, 323, 617, 3455, 19990, 22779, 4449, 16875, 535, 326, 815, 1412, 531, 823, 19990, 3299, 13944, 815, 1412, 25106, 476, 1321, 3299, 4971, 815, 798, 7272, 7967, 657, 994, 23336, 333, 7272, 7967, 657, 269, 2897, 3287, 815, 476, 16020, 267, 586, 815, 476, 2004, 9239, 258, 20413, 20046, 18547, 20413, 3522, 4736, 20732, 25000, 16648, 4138, 4814, 13833, 3522, 17221, 9326, 454, 331, 4565, 8548, 1662, 339, 629, 815, 22443, 20172, 267, 1257, 815, 834, 396, 506, 3522, 4736, 20732, 25000, 16648, 4138, 4814, 13833, 3522, 17221, 3264, 2580, 13944, 815, 1412, 25106, 476, 1015, 5073, 331, 4565, 8548, 1662, 339, 629, 269, 2897, 3287, 815, 476, 8517, 267, 586, 815, 476, 3445, 2020, 258, 20413, 20046, 18547, 16044, 483, 20413, 3522, 4736, 20732, 25000, 16648, 4138, 4814, 13833, 3522, 17221, 9326, 454, 331, 4565, 8548, 1662, 339, 629, 13448, 815, 22443, 20172, 267, 1257, 815, 834, 311, 4736, 2843, 509, 3378, 2843, 508, 396, 354, 2580, 13944, 815, 1412, 25106, 476, 1015, 5073, 331, 4565, 8548, 1662, 339, 629, 13448, 269, 2897, 3287, 815, 476, 278, 1015, 267, 586, 815, 476, 12893, 2020, 258, 10780, 17201, 3264, 2843, 354, 20413, 3522, 4736, 20732, 25000, 16648, 4138, 4814, 13833, 3522, 17221, 9326, 454, 332, 1662, 339, 629, 13448, 815, 28678, 20172, 267, 8700, 815, 476, 277, 994, 332, 1662, 339, 629, 13448, 269, 2897, 3287, 815, 476, 278, 4037, 267, 586, 815, 476, 12893, 2020, 258, 20413, 20046, 18547, 2843, 352, 20413, 3522, 4736, 20732, 25000, 16648, 4138, 4814, 13833, 3522, 17221, 9326, 454, 331, 4565, 8548, 1662, 339, 629, 14729, 815, 22443, 20172, 267, 1257, 815, 834, 312, 4736, 2843, 509, 3378, 2843, 508, 396, 352, 2580, 13944, 815, 1412, 25106, 476, 1015, 5073, 331, 4565, 8548, 1662, 339, 629, 14729, 269, 2897, 3287, 815, 476, 279, 1789, 267, 586, 815, 476, 12893, 2020, 258, 10780, 17201, 3264, 2843, 352, 20413, 3522, 4736, 20732, 25000, 16648, 4138, 4814, 13833, 3522, 17221, 9326, 454, 332, 1662, 339, 629, 14729, 815, 28678, 20172, 267, 8700, 815, 476, 277, 994, 332, 1662, 339, 629, 14729, 269, 2897, 3287, 815, 476, 279, 4817, 267, 586, 815, 476, 12893, 2020, 258, 20413, 20046, 18547, 918, 343, 20413, 3522, 4736, 20732, 25000, 16648, 4138, 4814, 13833, 3522, 17221, 9326, 454, 331, 4565, 8548, 1662, 339, 629, 17624, 343, 815, 22443, 20172, 267, 1257, 815, 834, 298, 2843, 509, 3378, 2843, 508, 396, 354, 2580, 13944, 815, 1412, 25106, 476, 1015, 5073, 331, 4565, 8548, 1662, 339, 629, 17624, 343, 269, 2897, 3287, 815, 476, 278, 1015, 267, 586, 815, 476, 9610, 2020, 258, 10780, 17201, 3264, 918, 343, 20413, 3522, 4736, 20732, 25000, 16648, 4138, 4814, 13833, 3522, 17221, 9326, 454, 332, 1662, 339, 629, 17624, 343, 815, 28678, 20172, 267, 8700, 815, 476, 277, 994, 332, 1662, 339, 629, 17624, 343, 269, 2897, 3287, 815, 476, 278, 4037, 267, 586, 815, 476, 9610, 2020, 258, 20413, 20046, 18547, 737, 396, 352, 20413, 3522, 4736, 20732, 25000, 16648, 4138, 4814, 13833, 3522, 17221, 9326, 454, 331, 4565, 8548, 1662, 339, 629, 318, 5652, 815, 22443, 20172, 267, 1257, 815, 834, 298, 2843, 509, 3378, 2843, 508, 396, 352, 2580, 13944, 815, 1412, 25106, 476, 1015, 5073, 331, 4565, 8548, 1662, 339, 629, 318, 5652, 269, 2897, 3287, 815, 476, 279, 1789, 267, 586, 815, 476, 9610, 2020, 258, 10780, 17201, 3264, 737, 396, 352, 20413, 3522, 4736, 20732, 25000, 16648, 4138, 4814, 13833, 3522, 17221, 9326, 454, 332, 1662, 339, 629, 318, 5652, 815, 28678, 20172, 267, 8700, 815, 476, 277, 994, 332, 1662, 339, 629, 318, 5652, 269, 2897, 3287, 815, 476, 279, 4817, 267, 586, 815, 476, 9610, 2020, 258, 17095, 4709, 5284, 379, 18547, 20413, 3522, 4736, 20732, 25000, 16648, 4138, 4814, 13833, 3522, 17221, 9326, 454, 23336, 333, 8548, 1662, 339, 629, 815, 29502, 20172, 267, 1257, 815, 834, 396, 506, 3522, 4736, 20732, 25000, 16648, 4138, 4814, 13833, 28476, 2580, 8700, 815, 476, 2420, 267, 4463, 815, 476, 272, 267, 536, 326, 815, 1412, 323, 617, 3455, 19990, 22779, 4449, 16875, 535, 326, 815, 1412, 531, 823, 19990, 3299, 13944, 815, 1412, 25106, 476, 1321, 3299, 4971, 815, 798, 8548, 1662, 339, 629, 994, 23336, 333, 8548, 1662, 339, 629, 269, 2897, 3287, 815, 476, 16020, 267, 586, 815, 476, 13679, 9239, 258, 20413, 20046, 18547, 10780, 13833, 18775, 3378, 25000, 454, 331, 4565, 7272, 990, 528, 582, 815, 22443, 20172, 267, 1257, 815, 834, 396, 509, 13833, 18775, 30324, 2580, 13944, 815, 1412, 25106, 476, 1015, 5073, 331, 4565, 7272, 990, 528, 582, 269, 2897, 3287, 815, 476, 8517, 267, 586, 815, 476, 13078, 2020, 258, 20413, 20046, 18547, 16044, 483, 10780, 13833, 18775, 3378, 25000, 454, 331, 4565, 7272, 990, 528, 582, 13448, 815, 22443, 20172, 267, 1257, 815, 834, 311, 4736, 2843, 509, 3378, 2843, 508, 396, 354, 2580, 13944, 815, 1412, 25106, 476, 1015, 5073, 331, 4565, 7272, 990, 528, 582, 13448, 269, 2897, 3287, 815, 476, 278, 1015, 267, 586, 815, 476, 15996, 2020, 258, 10780, 17201, 3264, 2843, 354, 10780, 13833, 18775, 3378, 25000, 454, 335, 990, 528, 582, 13448, 815, 28678, 20172, 267, 8700, 815, 476, 277, 994, 335, 990, 528, 582, 13448, 269, 2897, 3287, 815, 476, 278, 4037, 267, 586, 815, 476, 15996, 2020, 258, 20413, 20046, 18547, 2843, 352, 10780, 13833, 18775, 3378, 25000, 454, 331, 4565, 7272, 990, 528, 582, 14729, 815, 22443, 20172, 267, 1257, 815, 834, 312, 4736, 2843, 509, 3378, 2843, 508, 396, 352, 2580, 13944, 815, 1412, 25106, 476, 1015, 5073, 331, 4565, 7272, 990, 528, 582, 14729, 269, 2897, 3287, 815, 476, 279, 1789, 267, 586, 815, 476, 15996, 2020, 258, 10780, 17201, 3264, 2843, 352, 10780, 13833, 18775, 3378, 25000, 454, 335, 990, 528, 582, 14729, 815, 28678, 20172, 267, 8700, 815, 476, 277, 994, 335, 990, 528, 582, 14729, 269, 2897, 3287, 815, 476, 279, 4817, 267, 586, 815, 476, 15996, 2020, 258, 20413, 20046, 18547, 918, 10780, 13833, 18775, 3378, 25000, 454, 331, 4565, 7272, 990, 528, 582, 17624, 815, 22443, 20172, 267, 1257, 815, 834, 396, 352, 15671, 17201, 263, 15671, 13077, 9686, 264, 2580, 13944, 815, 1412, 25106, 476, 1015, 5073, 331, 4565, 7272, 990, 528, 582, 17624, 269, 2897, 3287, 815, 476, 16020, 267, 586, 815, 476, 14838, 2020, 258, 10780, 17201, 3264, 918, 10780, 13833, 18775, 3378, 25000, 454, 335, 990, 528, 582, 17624, 815, 28678, 20172, 267, 8700, 815, 476, 277, 994, 335, 990, 528, 582, 17624, 269, 2897, 3287, 815, 476, 279, 1428, 267, 586, 815, 476, 14838, 2020, 258, 17095, 4709, 5284, 379, 18547, 10780, 13833, 18775, 3378, 25000, 454, 23336, 333, 7272, 990, 528, 582, 815, 29502, 20172, 267, 1257, 815, 834, 396, 509, 13833, 21268, 4709, 7846, 31224, 2580, 8700, 815, 476, 2420, 267, 4463, 815, 476, 272, 267, 536, 326, 815, 1412, 323, 617, 3455, 19990, 22779, 4449, 16875, 535, 326, 815, 1412, 531, 823, 19990, 3299, 13944, 815, 1412, 25106, 476, 1321, 3299, 4971, 815, 798, 4671, 1248, 994, 23336, 333, 7272, 990, 528, 582, 269, 2897, 3287, 815, 476, 16020, 267, 586, 815, 476, 18231, 9239, 258, 30935, 10528, 7846, 4736, 18547, 27671, 11012, 29652, 9924, 28821, 13953, 21162, 13953, 16044, 484, 4138, 7549, 6459, 454, 10174, 6230, 664, 31467, 30800, 0, 258, 396, 363, 4709, 13833, 3522, 2843, 498, 3522, 17221, 397, 491, 6459, 20977, 2843, 502, 396, 352, 278, 268, 2537, 454, 258, 396, 507, 3522, 13953, 28821, 17095, 18775, 17221, 16044, 482, 7846, 4709, 7549, 30530, 4138, 20413, 20046, 19757, 21134, 27188, 26580, 10948, 4709, 23845, 9326, 17095, 18775, 4709, 3264, 13953, 29112, 16021, 32553, 31606, 4736, 12811, 3522, 15800, 10780, 30718, 3522, 13194, 28476, 21660, 28314, 13077, 32553, 4138, 7549, 3264, 454, 258, 397, 491, 7549, 13150, 16417, 9261, 7846, 9261, 9924, 16044, 482, 7846, 4709, 7549, 30530, 4138, 780, 5814, 11885, 607, 5286, 454, 5814, 21267, 28272, 607, 12301, 454, 5814, 942, 454, 5228, 2979, 1104, 5609, 267, 5430, 267, 16009, 692, 3698, 535, 3287, 2187, 825, 2132, 16009, 3287, 2020, 3698, 674, 3287, 2187, 825, 2132, 476, 272, 270, 6523, 3287, 264, 1262, 273, 692, 3698, 546, 293, 3287, 2187, 825, 2132, 5609, 3287, 8358, 273, 270, 6523, 3287, 264, 1262, 274, 692, 3698, 2848, 742, 3287, 271, 267, 10134, 2187, 825, 1535, 736, 24210, 271, 454, 825, 562, 284, 271, 454, 825, 1247, 562, 283, 10946, 333, 912, 1038, 562, 23785, 272, 454, 1038, 1535, 272, 24210, 271, 24179, 325, 3287, 271, 19422, 325, 3287, 271, 266, 325, 3287, 271, 4297, 268, 325, 3287, 271, 4297, 265, 325, 3287, 271, 4917, 1038, 952, 2612, 3287, 272, 14870, 271, 264, 2999, 552, 1186, 912, 2018, 2132, 1535, 272, 19885, 267, 271, 454, 1038, 1535, 271, 24210, 272, 692, 825, 952, 562, 2525, 10946, 333, 912, 1038, 2132, 1535, 272, 19885, 267, 272, 692, 3698, 17093, 4614, 742, 3287, 736, 267, 10134, 2187, 825, 562, 284, 271, 454, 825, 1247, 562, 283, 10946, 333, 912, 1038, 562, 23785, 272, 454, 1038, 1535, 273, 24210, 736, 24179, 293, 3287, 736, 19422, 293, 3287, 736, 266, 293, 3287, 736, 4297, 268, 293, 3287, 736, 4297, 265, 293, 3287, 736, 4917, 1038, 952, 2612, 3287, 273, 14870, 736, 264, 2999, 552, 1186, 912, 2018, 2132, 1535, 273, 454, 1038, 1535, 736, 24210, 273, 692, 825, 952, 562, 2525, 10946, 333, 912, 1038, 2132, 8771, 692, 3698, 546, 4206, 4614, 742, 3287, 736, 267, 10134, 2187, 825, 562, 284, 271, 454, 825, 1247, 562, 283, 10946, 333, 912, 1038, 562, 23785, 272, 454, 1038, 1535, 273, 24210, 736, 24179, 323, 293, 3287, 736, 19422, 323, 293, 3287, 736, 266, 323, 293, 3287, 736, 4297, 268, 323, 293, 3287, 736, 4297, 265, 323, 293, 3287, 736, 4917, 1038, 952, 2612, 3287, 273, 14870, 736, 264, 2999, 552, 1186, 912, 2018, 2132, 1535, 273, 454, 1038, 1535, 736, 24210, 273, 692, 825, 952, 562, 2525, 10946, 333, 912, 1038, 2132, 8771, 672, 692, 10134, 284, 15615, 9272, 3488, 29551, 8563, 29391, 4138, 16021, 476, 26580, 10948, 21170, 13150, 9841, 11714, 9924, 10948, 25986, 6459, 23845, 13953, 281, 1412, 4917, 320, 14720, 284, 14090, 263, 15615, 267, 6358, 3488, 29551, 8563, 29391, 4138, 16021, 25602, 15800, 536, 16068, 4344, 16417, 13194, 18547, 1496, 320, 14720, 3910, 21660, 17095, 30324, 18775, 21134, 25338, 7846, 9686, 20046, 26444, 10528, 4814, 3378, 4138, 13194, 8563, 19757, 4138, 31224, 31502, 27188, 26580, 10948, 4709, 23845, 3264, 17095, 18775, 4709, 3264, 13953, 281, 1412, 1040, 20889, 15405, 327, 284, 15615, 630, 6358, 3488, 29551, 8563, 29391, 4138, 16021, 16044, 486, 3522, 15671, 281, 1412, 4917, 10946, 333, 25507, 630, 6358 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1103, 476, 1001, 277, 21601, 28992, 1857, 7963, 729, 476, 275, 267, 275, 4097, 2929, 20789, 338, 476, 275, 267, 3445, 279, 2929, 9489, 267, 814, 2799, 476, 18597, 24487, 2929, 2094, 476, 1001, 276, 563, 1607, 2179, 1797, 602, 519, 7963, 538, 476, 1001, 277, 6603, 476, 4510, 269, 10695, 260, 540, 21601, 28992, 12654, 267, 513, 476, 275, 269, 5392, 6871, 1448, 4473, 689, 476, 1001, 276, 267, 950, 621, 729, 476, 2412, 269, 4097, 260, 540, 12654, 563, 2252, 649, 2638, 519, 7515, 649, 666, 1294, 519, 4720, 540, 21601, 28992, 7963, 269, 898, 814, 24111, 2094, 476, 1220, 277, 538, 2518, 7963, 2474, 267, 950, 621, 729, 476, 272, 267, 2568, 276, 2929, 20789, 338, 476, 273, 267, 27888, 2929, 9489, 543, 849, 538, 2474, 540, 12654, 6871, 267, 950, 621, 2179, 539, 547, 476, 1839, 269, 2190, 18336, 6097, 547, 519, 2063, 1239, 1448, 3370, 267, 21601, 28992, 829, 21027, 7963, 538, 476, 1001, 277, 729, 476, 272, 267, 4281, 279, 20789, 338, 272, 267, 280, 8064, 9489, 829, 9468, 656, 269, 769, 476, 1001, 276, 621, 729, 476, 272, 267, 278, 3374, 20789, 338, 476, 272, 267, 280, 1839, 9489, 267, 19952, 8375, 676, 476, 7871, 20789, 338, 7918, 9489, 267, 543, 952, 649, 1586, 2638, 476, 1220, 277, 649, 666, 1294, 602, 1287, 519, 7963, 829, 1268, 729, 476, 3199, 277, 20789, 338, 272, 267, 23713, 9489, 4586, 763, 2990, 540, 21601, 28992, 267, 607, 3379, 609, 519, 1964, 540, 519, 1158, 267, 814, 7707, 2989, 538, 476, 1001, 277, 538, 2474, 540, 12654, 6871, 269, 17497, 621, 568, 2197, 1297, 476, 8064, 538, 519, 1592, 540, 7963, 547, 12654, 543, 476, 10019, 538, 7963, 829, 21027, 267, 856, 540, 519, 476, 6977, 649, 15476, 269, 0, 763, 772, 2529, 269, 24959, 11752, 630, 4785, 14899, 264, 4080, 602, 674, 1170, 675, 476, 279, 267, 835, 540, 519, 7262, 2865, 3742, 535, 1170, 999, 593, 918, 13682, 5055, 826, 320, 26439, 334, 779, 2539, 5101, 681, 3424, 18630, 267, 2746, 17300, 3735, 593, 2904, 476, 1839, 883, 2904, 476, 2918, 563, 4785, 14899, 849, 5950, 713, 22089, 540, 23419, 838, 30568, 543, 3154, 32749, 689, 519, 535, 1170, 675, 269, 589, 9910, 17898, 2660, 13409, 2938, 593, 519, 1318, 540, 519, 3381, 729, 849, 7683, 3742, 563, 763, 8116, 1767, 593, 2904, 476, 2767, 602, 2361, 1212, 9749, 1336, 1804, 18015, 2282, 674, 1170, 675, 476, 280, 855, 4767, 1100, 968, 27889, 15133, 2534, 3034, 5194, 9337, 689, 519, 8116, 1767, 602, 519, 23419, 2095, 689, 674, 1170, 675, 476, 278, 2799, 16074, 883, 10732, 267, 968, 335, 18166, 513, 1804, 838, 2660, 15155, 4820, 936, 476, 1911, 3952, 7381, 689, 535, 870, 1622, 8757, 476, 5611, 268, 1220, 3952, 883, 519, 3781, 6607, 3034, 29909, 476, 273, 267, 6110, 14143, 1472, 918, 10042, 826, 320, 723, 1044, 4988, 676, 519, 1007, 23419, 267, 519, 5619, 7150, 563, 295, 4348, 338, 540, 1004, 723, 1044, 7142, 547, 17355, 10663, 543, 19421, 540, 8075, 723, 1044, 10032, 267, 2687, 547, 2199, 8128, 563, 21581, 5491, 281, 2475, 14899, 3842, 9452, 995, 0, 6124, 3840, 267, 5437, 476, 2537, 267, 476, 1001, 277, 2433, 4635, 1239, 689, 8331, 779, 9370, 26532, 18590, 2107, 321, 3438, 267, 3744, 723, 4362, 513, 1804, 16005, 540, 4672, 9944, 513, 3148, 540, 29618, 543, 8486, 1540, 23617, 593, 9370, 563, 763, 16005, 9832, 538, 11098, 689, 827, 476, 18605, 3952, 547, 827, 476, 28794, 3952, 267, 609, 513, 5888, 602, 568, 476, 2004, 547, 476, 5952, 829, 1298, 1216, 4672, 267, 6404, 609, 7452, 610, 3677, 22586, 5536, 267, 519, 3173, 4080, 538, 519, 4760, 2983, 26491, 3194, 16707, 563, 21158, 294, 1090, 6770, 547, 596, 1699, 4914, 3377, 689, 782, 936, 519, 1158, 563, 22154, 16005, 4440, 4646, 607, 6777, 6420, 7213, 6819, 883, 606, 4672, 6656, 6404, 609, 7452, 1282, 513, 1974, 538, 9370, 1686, 950, 519, 4541, 779, 7852, 729, 811, 21266, 1540, 982, 621, 568, 2221, 2223, 1767, 1291, 2278, 540, 519, 1353, 18706, 773, 853, 340, 584, 2006, 689, 519, 2160, 540, 7147, 693, 21388, 538, 519, 2475, 563, 763, 3744, 8947, 851, 540, 9370, 685, 7780, 18701, 4643, 527, 807, 3148, 538, 519, 4571, 5991, 4899, 4234, 6421, 609, 519, 11497, 3438, 779, 2666, 1790, 523, 564, 7992, 1744, 9994, 7101, 541, 630, 17239, 2752, 4696, 264, 6293, 563, 2304, 26087, 525, 540, 1239, 7000, 513, 16005, 811, 3573, 538, 1858, 982, 519, 2475, 1533, 540, 1715, 6792, 563, 21158, 294, 1090, 6770, 547, 596, 1283, 3377, 1472, 519, 1158, 2221, 563, 763, 9241, 23500, 4672, 16005, 4564, 1447, 982, 835, 2600, 540, 782, 1634, 1216, 4672, 593, 9370, 267, 519, 1353, 1767, 563, 22154, 16005, 568, 4440, 811, 3015, 982, 1034, 1216, 4672, 593, 9370, 267, 1317, 621, 568, 693, 513, 5266, 1970, 20173, 543, 621, 6013, 538, 513, 6366, 267, 5347, 1858, 1141, 13941, 513, 14361, 1131, 581, 4443, 982, 693, 930, 540, 519, 824, 2127, 609, 12617, 4672, 2223, 1071, 27236, 10793, 4591, 339, 689, 519, 2160, 540, 7147, 4659, 585, 2983, 2684, 12695, 1767, 563, 13425, 856, 5240, 294, 1090, 585, 5767, 3486, 3377, 10311, 563, 763, 7780, 26508, 1216, 568, 782, 13792, 1631, 269, 1403, 972, 941, 513, 24268, 4494, 2443, 799, 1131, 581, 1713, 585, 519, 7872, 540, 1272, 593, 9370, 2443, 621, 1131, 723, 1044, 10423, 538, 519, 16986, 18767, 267, 519, 3173, 7074, 269, 630, 296, 23177, 994, 4415, 8331, 22745, 513, 8978, 26436, 9891, 1160, 2041, 4514, 883, 519, 3859, 5790, 982, 1022, 5692, 1354, 621, 267, 513, 544, 2393, 2243, 14340, 281, 4208, 4465, 1406, 621, 15835, 888, 11900, 728, 519, 3859, 5790, 2443, 513, 3148, 1634, 607, 519, 1351, 7431, 2443, 519, 16785, 786, 1683, 7422, 540, 1018, 11479, 519, 2647, 2039, 540, 5536, 267, 1648, 543, 3002, 602, 1576, 998, 519, 3148, 563, 763, 14361, 786, 2951, 998, 1570, 609, 5210, 3152, 982, 1896, 2929, 5232, 17622, 1247, 1373, 10514, 12023, 609, 7920, 7943, 563, 6097, 547, 519, 2475, 2230, 8116, 267, 26436, 9891, 1160, 2041, 814, 1044, 2966, 547, 16641, 519, 3665, 2175, 543, 2837, 15088, 585, 519, 5692, 563, 10527, 1883, 6013, 538, 922, 2688, 3002, 13104, 543, 606, 14628, 1062, 602, 2337, 2149, 519, 5692, 689, 519, 6129, 779, 7920, 1769, 12998, 267, 855, 1281, 1450, 519, 1351, 4689, 1570, 547, 2048, 339, 13224, 685, 519, 14361, 2223, 8331, 1767, 538, 513, 3948, 563, 4407, 519, 26436, 9891, 1160, 2041, 786, 2951, 998, 513, 2230, 609, 5210, 540, 1896, 2929, 5232, 267, 519, 2627, 540, 519, 3002, 13104, 602, 8188, 519, 6129, 786, 1152, 1205, 12699, 547, 827, 476, 272, 267, 6110, 4110, 17622, 563, 1607, 568, 1317, 968, 514, 2230, 267, 519, 2837, 666, 581, 5215, 540, 5232, 1510, 3246, 1713, 3002, 547, 513, 2016, 1843, 610, 4743, 3905, 269, 4595, 2230, 568, 6140, 8900, 267, 972, 616, 1360, 1906, 5536, 602, 666, 4483, 1648, 547, 519, 14361, 9731, 763, 1351, 7431, 998, 799, 519, 26436, 9891, 1160, 2041, 13733, 267, 585, 1383, 267, 814, 606, 5393, 1164, 2837, 855, 1360, 1970, 5860, 563, 763, 16785, 2306, 946, 540, 513, 3002, 13104, 1634, 607, 519, 26365, 10466, 3590, 267, 610, 570, 4916, 267, 799, 568, 5216, 3952, 538, 8006, 543, 476, 275, 269, 276, 6279, 5394, 563, 17829, 1906, 6279, 540, 4027, 1611, 602, 1175, 593, 519, 824, 2427, 540, 519, 13104, 267, 519, 14361, 1560, 786, 1694, 693, 513, 6899, 476, 1789, 5232, 17622, 563, 763, 570, 4916, 729, 2966, 676, 519, 8592, 22846, 11930, 8212, 12524, 267, 543, 729, 3710, 693, 12539, 4211, 12365, 11628, 16370, 267, 1210, 513, 3327, 12432, 17371, 29011, 1117, 1063, 1079, 3327, 10824, 563, 1607, 17426, 13471, 786, 581, 10483, 676, 513, 18138, 5905, 540, 3043, 17375, 5862, 593, 519, 3141, 1922, 5217, 6676, 267, 547, 2992, 607, 1454, 3002, 607, 2009, 563, 2108, 307, 6479, 547, 16641, 909, 547, 476, 272, 267, 20981, 5232, 17622, 267, 519, 570, 4916, 666, 6023, 1022, 3002, 519, 6129, 666, 6494, 922, 1259, 267, 5329, 3592, 782, 31627, 2922, 2223, 1767, 8331, 563, 5194, 4161, 3357, 538, 519, 1106, 540, 519, 5907, 11443, 2443, 1034, 15791, 1131, 15835, 689, 4598, 547, 3002, 5982, 693, 971, 2673, 16133, 547, 519, 6129, 563, 2414, 4194, 713, 1966, 267, 519, 2319, 8057, 1094, 653, 10921, 12627, 13740, 547, 7080, 754, 519, 11443, 267, 543, 1500, 519, 12904, 689, 519, 3114, 3693, 562, 328, 984, 1756, 563, 15703, 824, 6272, 593, 519, 14361, 1832, 26436, 9891, 1160, 2041, 1352, 2741, 1229, 689, 519, 3002, 563, 21413, 4027, 267, 519, 3859, 8440, 2443, 799, 946, 1648, 689, 519, 1360, 5182, 1373, 6594, 547, 1379, 519, 14361, 2443, 666, 936, 17742, 563, 4263, 1142, 1935, 547, 519, 6129, 267, 519, 3859, 14249, 1427, 847, 3297, 519, 3002, 13104, 779, 14692, 267, 6028, 1152, 513, 1507, 10126, 6534, 547, 519, 6129, 779, 7920, 12345, 563, 763, 3859, 14249, 723, 513, 19599, 2241, 9023, 1062, 281, 513, 12699, 7382, 602, 8952, 519, 3579, 656, 689, 16171, 1282, 10131, 267, 1079, 10237, 2209, 602, 786, 1832, 519, 3579, 656, 689, 16171, 267, 26459, 27634, 547, 12366, 1047, 519, 9023, 2627, 267, 543, 15450, 547, 32694, 519, 3579, 656, 563, 763, 14361, 267, 9250, 689, 15729, 2052, 11232, 531, 5794, 10414, 13749, 538, 8419, 593, 4864, 476, 1321, 267, 786, 10141, 922, 1101, 3621, 7422, 538, 5412, 269, 630, 296, 23177, 264, 0, 3528, 281, 31929, 667, 880, 2006, 454, 29820, 4989, 476, 1428, 267, 6977, 279, 538, 9210, 1400, 267, 5333, 269, 12624, 630, 27839, 534, 773, 264, 729, 513, 22278, 8250, 543, 1010, 4651, 630, 29409, 1047, 264, 729, 513, 2757, 14558, 328, 269, 5664, 1362, 1920, 269, 20736, 330, 8583, 3323, 1010, 2069, 540, 681, 13741, 25766, 547, 3136, 519, 1920, 2245, 855, 4166, 4956, 646, 4769, 1405, 1616, 547, 1246, 538, 741, 3723, 25074, 543, 4797, 609, 15257, 269, 667, 1221, 5437, 476, 1428, 267, 476, 4489, 278, 689, 513, 2295, 4323, 563, 310, 550, 547, 18375, 538, 5333, 630, 292, 1723, 548, 11870, 1446, 8111, 773, 675, 264, 543, 5125, 269, 769, 5333, 646, 6594, 519, 1599, 540, 4984, 1317, 17329, 519, 3621, 1935, 540, 2486, 269, 2991, 8391, 513, 4110, 538, 6138, 538, 476, 6642, 273, 267, 646, 7608, 513, 2816, 2990, 3450, 1063, 1896, 3506, 269, 13536, 646, 24363, 547, 5125, 538, 476, 6642, 278, 267, 1141, 646, 6594, 15257, 585, 1079, 1296, 269, 3973, 646, 4607, 513, 3450, 2990, 693, 519, 2160, 540, 645, 867, 324, 14513, 538, 5333, 267, 1141, 646, 2919, 519, 1101, 15257, 1576, 563, 6944, 25572, 1299, 28636, 454, 14582, 773, 1386, 602, 519, 729, 4371, 1927, 609, 519, 4687, 540, 4978, 543, 2418, 269, 2334, 2486, 5713, 513, 1808, 1599, 630, 10852, 5199, 540, 621, 781, 1514, 1062, 1040, 29760, 593, 28507, 1514, 9259, 676, 519, 5133, 540, 15257, 563, 268, 23398, 626, 21887, 910, 6884, 1572, 23305, 9577, 16117, 267, 1772, 2519, 593, 519, 3347, 1063, 1585, 1514, 5238, 602, 1118, 909, 2486, 269, 630, 326, 17922, 267, 1876, 267, 2069, 267, 4984, 267, 3092, 8094, 268, 21619, 10818, 910, 634, 27200, 540, 519, 6617, 538, 2486, 269, 630, 24979, 1307, 994, 268, 2494, 28685, 9577, 910, 2271, 2105, 543, 6444, 538, 2486, 269, 630, 8505, 558, 24213, 10707, 835, 1747, 547, 1776, 8094, 268, 4678, 550, 9577, 910, 1133, 13440, 1758, 1242, 610, 26516, 538, 2486, 269, 630, 8505, 558, 9394, 18071, 5763, 547, 2744, 1514, 7555, 4700, 0, 14503, 4711, 540, 519, 2622, 630, 26773, 3724, 264, 298, 269, 700, 269, 808, 2714, 630, 10461, 994, 26773, 3724, 15618, 281, 476, 4905, 270, 6860, 270, 1001, 272, 454, 268, 3502, 2139, 454, 763, 9206, 568, 513, 2197, 781, 3084, 3090, 267, 543, 568, 2484, 811, 982, 513, 6071, 7333, 1676, 267, 621, 9356, 602, 2197, 781, 7115, 267, 519, 4961, 267, 543, 741, 1514, 5784, 269, 1306, 971, 267, 513, 9206, 568, 5701, 609, 2463, 267, 29846, 267, 543, 2016, 513, 4108, 2892, 1393, 269, 1306, 865, 1454, 568, 3808, 909, 538, 602, 9206, 267, 621, 949, 849, 581, 28457, 539, 267, 1219, 6150, 267, 543, 14616, 538, 13889, 269, 1306, 513, 3090, 540, 519, 11348, 540, 519, 1004, 267, 519, 9206, 568, 28093, 4240, 609, 513, 3099, 540, 4664, 1472, 519, 1158, 269, 3509, 17514, 616, 24790, 540, 519, 1419, 2389, 7875, 12040 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1789, 17529, 543, 519, 7382, 2450, 568, 2629, 547, 519, 1072, 540, 713, 3165, 269, 1358, 849, 2648, 29822, 12630, 6864, 926, 4548, 609, 606, 3617, 14041, 865, 789, 666, 3136, 741, 2834, 25061, 2238, 563, 763, 4703, 540, 12157, 643, 1014, 15155, 524, 747, 331, 1749, 723, 513, 2241, 3490, 267, 5631, 5835, 610, 11344, 269, 1717, 267, 519, 1034, 7986, 4183, 540, 891, 15155, 524, 747, 331, 1749, 568, 519, 2699, 8711, 2059, 609, 741, 27634, 269, 9603, 547, 713, 267, 789, 616, 849, 1634, 607, 519, 2699, 15155, 524, 747, 331, 573, 563, 289, 565, 643, 1014, 986, 916, 616, 2442, 569, 1634, 585, 741, 521, 14823, 2623, 607, 789, 2648, 521, 14823, 998, 519, 14041, 585, 1426, 269, 634, 5227, 2732, 540, 891, 15155, 524, 747, 331, 1749, 1058, 2270, 26005, 267, 1166, 1389, 267, 22872, 1490, 710, 20544, 267, 1973, 17494, 267, 3618, 19095, 267, 543, 824, 3940, 1543, 269, 17897, 539, 6864, 541, 1235, 25339, 8023, 873, 2661, 1426, 607, 621, 1522, 8764, 622, 519, 1216, 543, 3262, 14603, 5563, 563, 29222, 5517, 281, 634, 3621, 2012, 540, 12157, 643, 1014, 10548, 595, 747, 331, 573, 568, 711, 631, 1731, 549, 613, 20652, 15155, 790, 17844, 267, 607, 621, 568, 513, 1114, 2249, 267, 1634, 607, 631, 1731, 549, 613, 20652, 5621, 7371, 16394, 639, 563, 20112, 523, 10548, 595, 747, 331, 1749, 454, 12024, 4436, 4544, 15155, 267, 4154, 986, 916, 616, 849, 21221, 524, 747, 331, 1749, 602, 3914, 513, 5021, 540, 476, 273, 269, 276, 6279, 2949, 609, 513, 1769, 11344, 1560, 543, 3167, 4544, 2138, 339, 1782, 593, 519, 1710, 269, 634, 24725, 1710, 540, 4154, 986, 916, 568, 838, 1731, 344, 543, 789, 723, 12779, 4064, 609, 513, 3109, 20194, 269, 4934, 540, 519, 2185, 15155, 524, 747, 331, 1749, 267, 11344, 986, 916, 616, 519, 14758, 1634, 543, 899, 12157, 643, 1014, 681, 4461, 267, 789, 616, 849, 1336, 538, 513, 2067, 7226, 563, 763, 13642, 10548, 524, 747, 331, 573, 24865, 689, 519, 21586, 2107, 514, 27494, 12775, 1369, 27816, 543, 21896, 543, 789, 616, 2356, 1336, 538, 8424, 563, 12024, 1034, 524, 747, 331, 573, 2249, 267, 519, 11344, 15155, 568, 513, 8748, 267, 10477, 267, 543, 12560, 3165, 602, 568, 5078, 585, 513, 2146, 16983, 269, 1717, 267, 621, 666, 1831, 16857, 3006, 269, 1358, 2154, 513, 2603, 540, 10977, 2230, 538, 513, 3165, 7382, 609, 15792, 24914, 543, 15720, 4025, 269, 1358, 616, 9631, 16622, 5387, 267, 865, 1058, 581, 10480, 513, 22510, 2732, 7059, 609, 3940, 543, 17573, 13000, 540, 2661, 1426, 563, 25821, 4544, 986, 916, 630, 341, 8721, 2707, 264, 616, 865, 1454, 899, 741, 3552, 2275, 4381, 30980, 267, 855, 519, 3604, 9114, 538, 741, 32442, 269, 634, 3167, 4544, 15155, 524, 747, 331, 1749, 616, 32689, 15918, 826, 538, 2681, 609, 2699, 15649, 1472, 741, 1560, 269, 4256, 4064, 616, 610, 836, 880, 5835, 2059, 519, 30432, 543, 602, 779, 519, 1034, 4190, 4183, 540, 3167, 4544, 986, 916, 563, 763, 3167, 4544, 15155, 524, 747, 331, 1749, 616, 2442, 538, 519, 16983, 4123, 2094, 476, 1220, 280, 609, 741, 9065, 1355, 1560, 543, 1279, 838, 1731, 344, 27634, 899, 4544, 986, 916, 269, 9521, 824, 21221, 524, 747, 331, 1749, 267, 519, 3167, 4544, 986, 916, 616, 711, 5078, 585, 14987, 607, 789, 616, 811, 6213, 982, 824, 524, 747, 331, 573, 2249, 563, 9827, 267, 606, 3167, 4544, 15155, 568, 513, 1360, 21183, 3165, 602, 554, 1938, 538, 23572, 267, 7725, 267, 610, 824, 15720, 4025, 950, 789, 1745, 13032, 1221, 610, 12219, 563, 274, 6301, 17796, 454, 2252, 596, 1616, 513, 10548, 3165, 585, 707, 16983, 267, 596, 666, 2707, 621, 689, 912, 268, 10871, 9742, 619, 610, 23194, 327, 3298, 454, 268, 744, 2091, 553, 3165, 11396, 454, 268, 23582, 3165, 11396, 630, 5228, 707, 1378, 2197, 282, 3335, 689, 8419, 994, 2467, 616, 1082, 3165, 8637, 602, 6133, 10548, 524, 747, 331, 573, 269, 1717, 267, 891, 524, 747, 331, 1749, 786, 1034, 2693, 581, 16865, 689, 18246, 269, 7383, 539, 524, 747, 331, 1749, 1522, 2408, 17321, 609, 3476, 27634, 267, 855, 3006, 267, 789, 616, 31567, 5818, 539, 676, 1896, 10399, 547, 3986, 741, 5854, 3599, 543, 2949, 5920, 269, 1717, 267, 519, 946, 540, 971, 10399, 949, 28148, 1860, 519, 1272, 12732, 540, 707, 524, 747, 331, 1749, 563, 2252, 596, 6999, 547, 1205, 513, 10548, 595, 747, 331, 573, 689, 6469, 11396, 267, 581, 5483, 602, 789, 616, 6140, 26870, 538, 8419, 269, 898, 568, 1732, 547, 1205, 707, 10548, 524, 747, 331, 1749, 689, 6469, 11396, 982, 606, 18246, 3484, 267, 607, 789, 616, 538, 513, 1454, 1732, 2783, 563, 3719, 594, 4363, 3478, 707, 16983, 14609, 625, 689, 513, 2199, 9742, 518, 2094, 789, 616, 6854, 538, 1216, 2175, 543, 5054, 2147, 547, 16523, 269, 9747, 267, 789, 2661, 543, 8853, 538, 707, 1753, 6864, 926, 4548, 563, 1692, 547, 17292, 513, 13245, 12551, 888, 3383, 267, 596, 4076, 1500, 513, 3375, 547, 3142, 1753, 513, 10548, 524, 747, 331, 573, 286, 4279, 269, 1809, 596, 1058, 917, 875, 547, 4584, 513, 2635, 835, 547, 2057, 10898, 563, 268, 8564, 513, 2635, 23302, 267, 3742, 15155, 524, 747, 331, 573, 602, 22655, 543, 7669, 338, 1134, 454, 268, 17292, 519, 3283, 602, 14526, 609, 824, 986, 916, 585, 513, 1390, 838, 27681, 3135, 454, 268, 3680, 7446, 2960, 5500, 610, 695, 14725, 5287, 986, 916, 609, 513, 17860, 17987, 454, 2252, 596, 2461, 3168, 585, 513, 9960, 6292, 267, 16983, 9742, 619, 2303, 3478, 513, 10477, 1118, 609, 6905, 24725, 27634, 543, 1390, 533, 624, 7394, 27634, 269, 1656, 952, 596, 1265, 519, 4775, 2907, 19610, 609, 519, 5256, 15155, 524, 747, 331, 573, 267, 1205, 873, 282, 607, 972, 616, 2362, 8458, 540, 3811, 9960, 563, 1692, 547, 31692, 880, 1063, 22503, 543, 21058, 888, 2414, 10646, 1063, 513, 5256, 543, 4775, 15155, 524, 747, 331, 573, 267, 2141, 3314, 912, 268, 12339, 2297, 723, 6263, 267, 6505, 4544, 15956, 3330, 741, 3109, 9634, 593, 519, 5011, 540, 741, 4703, 454, 268, 631, 2297, 3668, 891, 15956, 593, 741, 3109, 9634, 563, 1692, 3509, 9701, 2142, 3223, 696, 8625, 888, 305, 600, 524, 747, 331, 1749, 2154, 513, 1804, 7382, 585, 1863, 10977, 2230, 267, 2653, 8023, 267, 543, 3811, 9960, 269, 4475, 267, 513, 6292, 540, 15155, 3165, 666, 581, 6854, 538, 513, 476, 736, 268, 20645, 2146, 7382, 610, 606, 538, 513, 476, 1015, 268, 20645, 9960, 7584, 609, 1100, 824, 7382, 29982, 563, 2791, 666, 1039, 2789, 986, 916, 538, 513, 2146, 7382, 855, 596, 723, 547, 2333, 519, 16983, 2450, 2687, 547, 519, 1297, 540, 8424, 269, 1280, 1383, 267, 513, 476, 2412, 3766, 718, 517, 7382, 1058, 13918, 476, 273, 8424, 540, 986, 916, 563, 1432, 1684, 1358, 16202, 888, 23325, 986, 916, 616, 9631, 16622, 5387, 865, 789, 4782, 513, 3575, 540, 1312, 282, 21364, 2030, 543, 5779, 344, 5946, 269, 17897, 539, 6864, 541, 1235, 4363, 8023, 873, 1490, 710, 20544, 267, 3618, 19095, 267, 1148, 8598, 267, 1973, 17494, 267, 8685, 1057, 343, 267, 3043, 17494, 267, 543, 7814, 2100, 324, 2763, 269, 1809, 7703, 538, 2247, 602, 519, 2661, 1426, 1058, 581, 1863, 540, 17694, 899, 4551, 267, 17343, 267, 3092, 547, 2057, 3676, 543, 824, 1072, 5829, 2152, 563, 4692, 594, 5901, 589, 17266, 2290, 888, 305, 4461, 616, 2146, 7382, 3165, 543, 8853, 1134, 609, 824, 899, 16490, 7382, 29982, 267, 855, 596, 666, 1832, 513, 2582, 15155, 524, 747, 331, 573, 607, 1279, 607, 596, 1683, 873, 609, 15792, 2230, 267, 14312, 1426, 267, 543, 6266, 540, 15720, 4025, 547, 28532, 543, 1404, 563, 1692, 8262, 1684, 1358, 5192, 888, 305, 600, 524, 747, 331, 1749, 2887, 896, 519, 21221, 7121, 865, 789, 1810, 1406, 1205, 3564, 476, 273, 268, 274, 6279, 538, 24811, 563, 4692, 1411, 17186, 23067, 8625, 888, 8133, 267, 596, 666, 269, 1717, 267, 5225, 1174, 519, 2115, 540, 1114, 524, 747, 331, 573, 2010, 1354, 11544, 873, 1927, 269, 681, 4461, 4782, 15911, 1216, 5210, 602, 1810, 1406, 979, 1134, 609, 824, 3165, 269, 4746, 267, 3442, 513, 3677, 2146, 7382, 540, 936, 476, 2412, 17529, 547, 2777, 2789, 986, 916, 1927, 563, 1692, 7043, 1684, 570, 30971, 2661, 888, 1103, 24811, 267, 519, 15155, 524, 747, 331, 573, 2729, 585, 909, 547, 476, 275, 610, 476, 276, 1296, 269, 1717, 267, 519, 14438, 540, 4436, 4544, 986, 916, 3810, 5673, 593, 1585, 2188, 267, 971, 607, 1216, 2298, 267, 2732, 267, 1216, 6724, 543, 2837, 267, 9063, 543, 1216, 21052, 267, 543, 1657, 782, 267, 2949, 1072, 563, 305, 600, 524, 747, 331, 1749, 616, 1360, 1507, 3165, 1472, 476, 273, 268, 274, 6279, 538, 3259, 269, 6736, 741, 2450, 267, 789, 2154, 1799, 659, 3634, 3007, 543, 1416, 269, 4475, 267, 1118, 2386, 547, 1683, 693, 2547, 476, 736, 17529, 7382, 609, 6266, 540, 15720, 4025, 543, 12748, 2371, 547, 6318, 2635, 543, 6126, 986, 916, 563, 15812, 568, 519, 13653, 540, 13985, 10740, 15188, 3493, 582, 269, 1261, 3323, 538, 519, 16983, 15908, 693, 519, 2085, 540, 476, 1556, 543, 2059, 519, 1259, 5249, 693, 2199, 3165, 8637, 269, 1261, 814, 6854, 15195, 13688, 267, 22253, 267, 543, 11818, 13688, 585, 936, 476, 1839, 1296, 269, 3571, 3135, 729, 2813, 547, 2671, 1010, 1702, 543, 2189, 3450, 2511, 593, 513, 3677, 4336, 269, 1261, 814, 5249, 593, 1818, 16983, 543, 11432, 5329, 3839, 269, 4460, 814, 1044, 12286, 538, 1079, 2835, 827, 16983, 5329, 1107, 1312, 1655, 23965, 593, 8835, 269, 3962, 1032, 267, 646, 5170, 547, 948, 1010, 3988, 543, 7218, 609, 1702, 267, 3318, 13976, 267, 543, 30076, 269, 0, 763, 2063, 1614, 5756, 540, 2090, 593, 8377, 1397, 602, 9561, 2597, 538, 513, 2486, 899, 23600, 267, 609, 2370, 2534, 543, 2653, 1569, 547, 1426, 585, 513, 851, 540, 519, 2551, 267, 1590, 581, 5051, 2352, 585, 1346, 945, 723, 6603, 2157, 540, 14968, 610, 616, 2907, 538, 513, 32435, 3510, 269, 1280, 713, 2601, 267, 519, 5305, 540, 5061, 971, 607, 654, 1122, 990, 344, 267, 5063, 9516, 676, 1323, 6665, 320, 267, 621, 814, 1044, 9976, 676, 12665, 267, 945, 2721, 3007, 547, 519, 6857, 946, 540, 713, 1826, 540, 1587, 563, 763, 4915, 3091, 513, 1007, 5133, 585, 1346, 7680, 513, 5312, 6560, 609, 4336, 543, 1058, 711, 581, 1031, 676, 1346, 540, 3339, 2597, 610, 547, 3035, 12716, 4441, 563, 26469, 334, 4864, 334, 2961, 1998, 14833, 21001, 24229, 267, 7022, 540, 519, 19384, 5980, 540, 7736, 4531, 11659, 543, 5450, 629, 1108, 630, 306, 289, 4932, 1070, 556, 3438, 919, 602, 8377, 1590, 581, 2938, 607, 513, 5312, 2068, 269, 25790, 538, 922, 2126, 267, 1851, 824, 1919, 267, 616, 1644, 547, 1382, 593, 519, 5786, 540, 9025, 3441, 538, 519, 2551, 6383, 676, 519, 2810, 2597, 2744, 538, 2487, 1296, 563, 19284, 519, 2732, 5061, 540, 519, 476, 1960, 271, 338, 267, 799, 5734, 519, 2344, 1510, 1279, 3856, 4152, 543, 609, 2370, 610, 1100, 9434, 2164, 267, 713, 1007, 5108, 14767, 1713, 9271, 543, 811, 3106, 563, 288, 5404, 2867, 26952, 543, 14031, 16401, 1218, 616, 856, 540, 519, 4605, 543, 5061, 1141, 9561, 2597, 568, 1152, 835, 540, 519, 2640, 267, 2094, 519, 3355, 3804, 568, 547, 1521, 3987, 267, 13119, 267, 1164, 8501, 267, 1851, 824, 2188, 602, 948, 2569, 9025, 3676, 563, 3725, 548, 1078, 676, 1323, 6665, 320, 267, 654, 1122, 990, 344, 769, 20287, 3568, 5033, 698, 331, 583, 728, 267, 519, 1482, 3742, 12146, 538, 744, 7999, 30679, 267, 513, 1970, 1673, 846, 7630, 762, 3075, 1031, 547, 1521, 1826, 476, 273, 3987, 267, 543, 27550, 321, 1564, 639, 267, 849, 585, 3987, 267, 855, 30375, 563, 763, 3017, 609, 654, 1122, 990, 344, 568, 519, 1808, 946, 538, 519, 2126, 540, 8377, 543, 14968, 267, 543, 621, 568, 849, 606, 4781, 585, 519, 21836, 1107, 621, 568, 8612, 689, 476, 1321, 1296, 540, 2085, 269, 898, 949, 849, 581, 11311, 585, 2550, 4171, 2597, 2530, 5012, 547, 519, 1852, 540, 32435, 885, 971, 607, 13119, 267, 3987, 267, 543, 7988, 28309, 573, 8598, 563, 763, 1007, 3075, 568, 585, 12353, 946, 543, 568, 711, 2943, 585, 9042, 269, 968, 2005, 1869, 2115, 547, 2743, 513, 9431, 13374, 585 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 538, 2038, 2777, 267, 568, 3710, 593, 519, 804, 1511, 4806, 269, 5556, 553, 543, 536, 784, 657, 949, 581, 3773, 585, 606, 3979, 3280, 269, 769, 930, 13475, 267, 519, 14941, 4992, 616, 834, 338, 18260, 257, 676, 20993, 519, 2744, 547, 1711, 513, 811, 10728, 6316, 269, 2290, 5929, 24848, 516, 267, 3679, 2777, 267, 568, 3989, 998, 519, 2695, 601, 16408, 4992, 2813, 676, 519, 17029, 663, 19505, 268, 24062, 18369, 13754, 6500, 269, 5600, 2575, 1223, 581, 3812, 593, 834, 3832, 777, 543, 7082, 7888, 5907, 3937, 257, 543, 1031, 3280, 10591, 267, 799, 1500, 621, 4443, 585, 4830, 10297, 543, 29382, 338, 547, 1711, 13475, 282, 519, 5907, 14941, 6191, 543, 824, 10591, 1031, 676, 2777, 29382, 338, 543, 12696, 729, 2808, 834, 1729, 334, 10464, 1606, 15929, 257, 676, 834, 27393, 257, 12372, 269, 5600, 2575, 12696, 946, 25541, 7405, 267, 2864, 982, 8744, 538, 8400, 12372, 883, 513, 10916, 18638, 269, 9282, 513, 1883, 3693, 540, 2777, 2504, 568, 2482, 1359, 4992, 267, 971, 607, 14941, 3684, 20054, 267, 5348, 628, 18369, 6050, 267, 865, 593, 267, 519, 2949, 834, 3667, 675, 1862, 529, 23661, 2668, 9521, 1402, 8964, 267, 799, 11168, 2362, 1790, 17097, 4992, 267, 971, 607, 23260, 267, 538, 2777, 2575, 267, 519, 2539, 1790, 17097, 18369, 11578, 568, 1034, 1271, 563, 763, 2497, 540, 2777, 2575, 8964, 2443, 610, 834, 339, 13715, 2580, 607, 789, 616, 1572, 2443, 3322, 606, 25644, 267, 513, 669, 11501, 267, 1585, 14235, 6810, 267, 513, 4571, 7611, 543, 513, 5618, 856, 549, 269, 2368, 8964, 798, 711, 723, 513, 14235, 267, 18110, 519, 1482, 4783, 269, 5600, 2575, 8964, 616, 1759, 593, 5216, 1532, 541, 6810, 799, 616, 7368, 269, 5600, 2575, 568, 1759, 593, 18369, 13463, 8283, 17787, 610, 18369, 6050, 3812, 676, 513, 13754, 6500, 543, 5924, 689, 5439, 540, 1167, 334, 267, 15690, 1922, 6064, 610, 1187, 330, 8964, 269, 29382, 338, 543, 12696, 2870, 513, 5152, 547, 581, 5129, 538, 15731, 1711, 513, 834, 572, 1597, 610, 5216, 18826, 476, 1321, 20878, 3575, 2668, 9521, 959, 766, 2575, 8964, 267, 799, 616, 2966, 547, 1832, 2679, 538, 8515, 267, 2777, 2575, 8964, 616, 834, 3467, 5812, 257, 543, 616, 811, 1759, 593, 834, 2452, 532, 609, 519, 25499, 2694, 543, 8744, 873, 538, 543, 856, 257, 538, 513, 11029, 1259, 269, 5600, 8964, 798, 1628, 538, 909, 676, 4946, 6106, 540, 3280, 543, 9403, 267, 676, 2810, 519, 4320, 269, 5600, 8964, 949, 723, 4938, 1023, 899, 513, 1402, 5152, 267, 855, 930, 2777, 13475, 616, 834, 14814, 569, 8766, 15747, 2575, 2580, 607, 4938, 1023, 616, 711, 2838, 585, 519, 2777, 9135, 269, 1403, 513, 2777, 3950, 1281, 723, 4938, 1023, 267, 519, 13047, 3515, 949, 581, 2241, 834, 6919, 610, 2453, 257, 602, 616, 7368, 563, 3080, 540, 519, 1292, 7506, 540, 2777, 729, 1167, 334, 269, 6145, 1167, 334, 29382, 338, 267, 2777, 29382, 338, 1031, 513, 834, 338, 869, 3575, 257, 547, 834, 4802, 5638, 1927, 257, 883, 513, 3575, 269, 769, 519, 2022, 1673, 8646, 8630, 2528, 1282, 519, 2038, 476, 2735, 271, 338, 267, 29382, 338, 689, 519, 14447, 6429, 1500, 741, 13475, 834, 1652, 1402, 15129, 2437, 609, 513, 811, 7344, 267, 16625, 10726, 543, 4514, 18369, 6050, 267, 1082, 13475, 941, 1500, 1510, 4938, 1023, 267, 610, 609, 2262, 1652, 23964, 269, 2598, 1723, 2968, 865, 2442, 676, 519, 3735, 476, 3192, 271, 338, 602, 2594, 3549, 14593, 1875, 1673, 8646, 5159, 547, 3132, 1167, 334, 8964, 282, 950, 519, 1394, 31988, 1996, 1167, 334, 3323, 267, 1634, 607, 834, 291, 8646, 647, 4242, 257, 7544, 2575, 4682, 689, 1373, 3812, 676, 2101, 6003, 801, 3930, 547, 1373, 2813, 676, 29382, 338, 538, 519, 11895, 8630, 6429, 269, 2755, 1167, 334, 729, 2404, 609, 18932, 32427, 566, 267, 609, 5569, 32316, 543, 18057, 6810, 267, 1585, 1167, 334, 8964, 11368, 4992, 3812, 609, 13754, 9088, 543, 5907, 14941, 6191, 267, 930, 15885, 941, 5907, 563, 28158, 4750, 540, 26337, 568, 606, 3486, 267, 9263, 24595, 4081, 4760, 540, 519, 3864, 5948, 540, 16329, 5505, 269, 4595, 476, 1001, 278, 267, 621, 814, 1044, 3370, 676, 11062, 2160, 4964, 282, 519, 4760, 729, 13886, 519, 4750, 540, 3864, 26337, 269, 634, 4760, 32245, 15456, 1382, 1472, 2342, 282, 519, 4760, 729, 3370, 676, 590, 17803, 267, 631, 2033, 344, 543, 13177, 1299, 14731, 269, 634, 4750, 3568, 1930, 1569, 4930, 282, 519, 1739, 7606, 616, 610, 723, 1044, 15769, 281, 3627, 28331, 2006, 4460, 13428, 576, 21142, 14205, 4068, 28120, 28024, 919, 21965, 29443, 17507, 2098, 6511, 21919, 1662, 7046, 1569, 4930, 4107, 11855, 4930, 3864, 5948, 540, 16329, 5505, 12108, 661, 8150, 3864, 5948, 540, 16329, 5505, 9365, 2985, 454, 4785, 306, 1280, 6135, 267, 513, 717, 548, 2314, 11665, 6861, 518, 267, 729, 519, 1152, 6928, 540, 519, 2136, 2276, 13108, 547, 581, 3957, 585, 31924, 667, 592, 1415, 1280, 6135, 267, 606, 11464, 945, 6039, 1282, 519, 2782, 540, 476, 8687, 273, 269, 1280, 6135, 729, 9250, 593, 476, 1691, 4873, 476, 3707, 272, 676, 11785, 13108, 962, 731, 282, 519, 6928, 729, 20827, 593, 31924, 2155, 6387, 631, 269, 11709, 5450, 516, 538, 4971, 267, 1352, 729, 556, 5035, 1881, 667, 5960, 268, 2190, 593, 476, 1428, 5437, 476, 3707, 275, 269, 1280, 6135, 30774, 689, 11785, 476, 1428, 4873, 476, 3707, 273, 585, 22085, 14861, 807, 267, 1715, 11398, 1633, 267, 547, 32433, 519, 26603, 677, 540, 519, 8484, 15298, 681, 9734, 267, 609, 4171, 3196, 1352, 8120, 547, 1715, 1636, 593, 476, 2420, 4873, 269, 2201, 476, 272, 5147, 1352, 30774, 609, 519, 681, 9734, 1895, 585, 519, 5032, 540, 4639, 4000, 267, 1141, 519, 15298, 24363, 1055, 8136, 8484, 585, 519, 24567, 3490, 693, 6452, 571, 269, 4825, 9506, 547, 7439, 27714, 593, 476, 276, 4864, 267, 1280, 6135, 6039, 538, 2866, 4238, 267, 26747, 19707, 267, 9381, 26603, 677, 10279, 2394, 476, 2641, 5239, 267, 950, 1352, 8452, 693, 645, 1069, 19085, 547, 6443, 519, 681, 9734, 1895, 585, 519, 12289, 540, 3345, 4000, 267, 1352, 29971, 2011, 4238, 8720, 519, 2244, 902, 693, 6380, 328, 543, 12658, 327, 8403, 689, 476, 279, 547, 476, 1321, 5437, 6039, 538, 606, 24431, 889, 3405, 710, 29862, 538, 4434, 540, 606, 19670, 5996, 1195, 2394, 476, 1240, 5437, 563, 2690, 6135, 26603, 9285, 513, 5996, 1195, 547, 513, 1448, 1055, 7439, 27714, 5828, 1394, 547, 645, 1069, 19085, 547, 14906, 14162, 31773, 609, 519, 2267, 16014, 4864, 320, 609, 7247, 1352, 8120, 547, 7439, 27714, 476, 1789, 5437, 269, 9737, 476, 273, 5412, 476, 3707, 273, 543, 476, 2767, 4728, 476, 3707, 274, 267, 1280, 6135, 7466, 18084, 519, 9533, 9584, 681, 9734, 547, 606, 5836, 22745, 1448, 1055, 16629, 629, 331, 4545, 320, 607, 1134, 607, 7674, 593, 9381, 543, 13323, 540, 6792, 26603, 677, 10279, 269, 2991, 2866, 538, 16629, 1723, 7345, 267, 1352, 8678, 519, 681, 9734, 1895, 585, 29862, 10279, 856, 540, 14861, 807, 267, 1063, 476, 1704, 2904, 543, 476, 2190, 5147, 25579, 1639, 693, 11785, 585, 519, 15385, 547, 2480, 23981, 10046, 267, 2107, 330, 2284, 11866, 269, 3245, 713, 3490, 540, 519, 3703, 5851, 18307, 564, 267, 519, 681, 9734, 1895, 1273, 9776, 538, 3406, 540, 4436, 17189, 4229, 267, 593, 476, 275, 5239, 13351, 609, 1390, 1967, 693, 519, 11288, 543, 13272, 19698, 693, 26636, 21417, 267, 16157, 269, 769, 5239, 1352, 30774, 5045, 547, 6443, 519, 26603, 677, 585, 513, 3703, 15298, 13059, 689, 519, 11335, 547, 2480, 23981, 10046, 267, 538, 5437, 4990, 1221, 538, 513, 5916, 4305, 3196, 547, 29862, 519, 22070, 5032, 540, 16157, 8720, 519, 8574, 540, 513, 5996, 1195, 547, 6576, 269, 4825, 9506, 547, 11785, 585, 5618, 936, 3873, 592, 476, 274, 5412, 476, 3707, 274, 267, 1280, 6135, 6170, 519, 3275, 540, 5130, 543, 5988, 476, 3707, 275, 2866, 840, 1260, 3939, 532, 1212, 9749, 585, 1007, 6861, 619, 267, 26603, 15659, 519, 8484, 15298, 24125, 564, 1282, 1200, 695, 8898, 1144, 2866, 1055, 645, 1069, 19085, 563, 27001, 476, 278, 4728, 543, 476, 273, 4989, 267, 1352, 1273, 9776, 519, 9533, 609, 519, 25433, 10275, 14525, 1895, 18188, 676, 519, 26603, 677, 15298, 2871, 611, 531, 4754, 531, 269, 1280, 6135, 30774, 689, 7439, 27714, 476, 736, 4989, 585, 8832, 8581, 267, 3576, 909, 26603, 677, 11645, 1472, 519, 3703, 1772, 956, 607, 2367, 543, 9635, 941, 13671, 585, 519, 11870, 22929, 12289, 282, 950, 3983, 4365, 27185, 19861, 519, 2244, 902, 5497, 585, 476, 276, 4873, 267, 1280, 6135, 729, 2366, 856, 593, 476, 275, 4873, 547, 11291, 5996, 9081, 799, 1185, 30774, 267, 3808, 585, 18096, 16047, 269, 4438, 519, 4890, 12289, 540, 476, 277, 4873, 267, 1352, 29971, 3560, 338, 14084, 538, 519, 13391, 773, 632, 3288, 1530, 710, 267, 593, 476, 1321, 267, 476, 1626, 267, 476, 1704, 4873, 267, 1352, 10514, 12023, 13272, 9072, 547, 5351, 519, 10136, 14027, 11849, 648, 269, 2991, 26603, 15659, 12959, 4721, 547, 623, 569, 17625, 267, 4789, 267, 476, 1240, 4873, 267, 1280, 6135, 8120, 547, 519, 14213, 1858, 476, 2641, 4873, 547, 3382, 27789, 4238, 1055, 519, 595, 582, 550, 514, 18686, 267, 1352, 7722, 13272, 9075, 593, 476, 2420, 543, 476, 2190, 4873, 267, 13059, 547, 519, 1772, 548, 540, 24144, 267, 519, 1985, 1554, 269, 9050, 2395, 1280, 6135, 3893, 25093, 585, 645, 1409, 770, 543, 570, 5875, 334, 267, 689, 799, 1352, 30774, 476, 1556, 4864, 476, 3707, 275, 585, 519, 12289, 540, 7013, 5333, 267, 21945, 538, 519, 6418, 3595, 1489, 1858, 1055, 853, 269, 18858, 19649, 593, 476, 1428, 4864, 563, 2690, 519, 1985, 1079, 3275, 267, 1352, 26603, 9285, 5996, 9081, 689, 6022, 1069, 334, 267, 10878, 1255, 543, 2107, 534, 547, 519, 7013, 5032, 540, 5333, 267, 1368, 8973, 519, 2367, 543, 7727, 799, 1500, 519, 7903, 5087, 1189, 2009, 269, 2701, 8120, 547, 7439, 27714, 476, 279, 5437, 585, 7503, 547, 513, 1164, 3432, 15183, 933, 4177, 269, 1280, 6135, 8036, 538, 27991, 1901, 820, 7345, 585, 7414, 10279, 267, 585, 799, 1352, 30774, 476, 1704, 5130, 476, 3707, 276, 267, 10912, 693, 5842, 17630, 543, 23421, 23320, 585, 2417, 2866, 543, 21945, 21853, 603, 328, 593, 476, 280, 4728, 476, 3707, 276, 269, 14210, 2395, 1352, 4990, 1221, 585, 15183, 933, 9429, 4238, 547, 2312, 744, 7219, 11867, 7297, 585, 519, 14213, 593, 476, 272, 4989, 267, 1310, 799, 1352, 6039, 538, 29862, 267, 29971, 4130, 15183, 933, 788, 619, 267, 5340, 2199, 26603, 677, 13485, 267, 5645, 2322, 519, 8912, 3818, 13109, 540, 6861, 518, 10467, 269, 11153, 2053, 1352, 19443, 9635, 588, 4459, 523, 676, 737, 600, 1731, 10270, 6285, 267, 593, 476, 2767, 2904, 1200, 1378, 2490, 3357, 269, 8422, 10546, 8484, 941, 8289, 539, 282, 519, 3791, 267, 1835, 14414, 1200, 5182, 4580, 2427, 693, 519, 1216, 1467, 267, 11318, 476, 276, 543, 10138, 532, 476, 1724, 540, 1200, 2367, 269, 1306, 3441, 1852, 543, 3595, 8165, 3800, 941, 1373, 3144, 1352, 18188, 585, 23715, 4821, 4825, 1729, 543, 18203, 563, 2690, 6135, 30774, 689, 744, 7219, 11867, 593, 476, 1839, 4873, 476, 3707, 276, 585, 519, 7532, 5032, 267, 8757, 11785, 476, 277, 4864, 476, 3707, 276, 269, 1703, 1352, 729, 1232, 2174, 2153, 539, 593, 476, 1789, 5437, 476, 3707, 276, 267, 4421, 476, 736, 5437, 476, 3707, 277, 269, 1280, 6135, 4607, 3670, 6370, 6801, 585, 2622, 2782, 4083, 3028, 282, 713, 2376, 16621, 1257, 689, 519, 1857, 6389, 9218, 540, 1977, 25220, 674, 18017, 590, 4721, 269, 634, 7127, 666, 581, 1336, 1934, 269, 18937, 25899, 3820, 281, 2475, 306, 1280, 6135, 6328, 1122, 2001, 3820, 281, 2475, 306, 1280, 6135, 0, 763, 2034, 5067, 540, 23011, 630, 323, 269, 476, 15094, 278, 264, 543, 10906, 18703, 267, 7338, 18703, 27229, 22961, 5367, 896, 1010, 4651, 269, 769, 476, 14378, 272, 267, 646, 9310, 543, 1010, 9219, 14708, 1870, 4166, 25577, 538, 594, 1186, 16049, 269, 769, 519, 594, 1186, 16049, 4750, 540, 476, 1704, 5412, 267, 476, 15094, 271, 972, 5645, 519, 29275, 10086, 1607, 568, 547, 29872, 519, 30985, 267, 2334, 693, 519, 4279, 6519, 21696, 538, 594, 1186, 16049, 568, 547, 581, 2938, 774, 657, 269, 18703, 781, 1034, 4583, 13562, 13929, 543, 7574, 9219, 1862, 262, 543, 8370, 1296, 2663, 267, 646, 11827, 513 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 278, 267, 681, 3287, 264, 815, 1535, 476, 273, 1341, 343, 267, 590, 3287, 264, 815, 476, 273, 343, 476, 274, 476, 277, 343, 476, 273, 476, 1015, 32530, 3582, 281, 6904, 540, 519, 1739, 616, 9971, 3252, 286, 630, 320, 264, 535, 3287, 264, 815, 1535, 476, 274, 1341, 273, 343, 266, 275, 630, 321, 2020, 2162, 476, 271, 269, 275, 674, 16898, 3036, 5058, 623, 5357, 312, 301, 6865, 24361, 306, 692, 3607, 318, 269, 336, 343, 323, 1315, 274, 270, 276, 2433, 280, 7537, 8525, 910, 280, 22444, 3582, 269, 5517, 1681, 27155, 338, 910, 280, 269, 674, 16898, 3036, 5058, 623, 5357, 312, 301, 6865, 24361, 306, 2422, 2027, 2472, 543, 26458, 2553, 547, 3815, 21335, 269, 4855, 519, 11890, 540, 9097, 7215, 269, 2422, 692, 2162, 808, 19851, 5990, 13878, 9391, 6167, 3951, 715, 9331, 21612, 476, 272, 269, 279, 269, 9338, 12283, 289, 6938, 476, 279, 630, 21691, 8662, 338, 264, 589, 12282, 13034, 984, 5459, 692, 297, 19851, 5990, 13878, 9391, 6167, 3951, 715, 9331, 21612, 476, 272, 269, 279, 9338, 12283, 289, 6938, 476, 279, 630, 21691, 8662, 338, 264, 676, 589, 12282, 13034, 984, 5459, 476, 272, 269, 279, 269, 272, 634, 3815, 11532, 476, 272, 269, 279, 269, 273, 13335, 547, 13392, 543, 12945, 7215, 476, 272, 269, 279, 269, 274, 10699, 545, 4834, 476, 272, 269, 279, 269, 275, 7043, 6498, 540, 21335, 692, 2162, 634, 4110, 540, 513, 9971, 1599, 568, 3160, 547, 519, 5207, 20800, 1336, 593, 519, 4830, 4632, 780, 291, 4953, 288, 6579, 3633, 25663, 308, 16739, 6730, 12164, 4753, 303, 4811, 910, 623, 5357, 312, 301, 6865, 24361, 674, 7419, 290, 16739, 16721, 1563, 676, 16016, 5090, 26791, 267, 1912, 6185, 1421, 5441, 540, 8828, 21600, 7490, 27189, 5999, 543, 22227, 547, 3824, 5090, 14714, 1168, 691, 287, 14369, 333, 12975, 269, 11289, 596, 256, 623, 4041, 17955, 10691, 292, 692, 2162, 26488, 585, 8641, 532, 27155, 12793, 692, 3682, 1027, 675, 585, 8641, 532, 27155, 12793, 623, 3287, 264, 815, 513, 562, 1535, 562, 1341, 513, 562, 268, 272, 1535, 562, 268, 272, 1341, 1341, 513, 476, 272, 1535, 1341, 513, 476, 271, 1677, 3113, 623, 3287, 2567, 1306, 606, 1383, 267, 649, 786, 4983, 519, 1739, 9971, 1599, 281, 623, 3287, 264, 815, 476, 273, 343, 476, 274, 476, 274, 343, 476, 273, 476, 2537, 343, 1341, 476, 1321, 476, 272, 269, 14419, 692, 2162, 476, 272, 269, 278, 269, 3487, 658, 17773, 269, 476, 272, 269, 278, 269, 272, 269, 21929, 12793, 543, 3487, 658, 17773, 269, 589, 7787, 1599, 568, 513, 23479, 540, 1079, 21335, 281, 681, 3287, 264, 815, 623, 630, 343, 264, 1627, 3287, 6393, 269, 278, 269, 11553, 2316, 299, 674, 13612, 16739, 476, 274, 269, 278, 269, 3487, 658, 17773, 269, 278, 907, 21929, 12793, 543, 3487, 658, 17773, 269, 7787, 1599, 568, 513, 23479, 540, 1079, 21335, 281, 681, 3287, 264, 815, 623, 630, 343, 264, 1627, 3287, 1040, 3371, 649, 1865, 875, 547, 11753, 7787, 692, 2162, 9338, 12283, 289, 6938, 476, 273, 595, 6938, 476, 273, 11555, 26177, 910, 30667, 476, 272, 268, 277, 8382, 8791, 692, 3201, 12283, 289, 6938, 476, 273, 595, 6938, 476, 273, 11555, 26177, 910, 30667, 476, 272, 268, 277, 8382, 8791, 631, 8085, 2316, 303, 4041, 8863, 302, 21201, 476, 272, 269, 4888, 306, 281, 595, 476, 273, 269, 4888, 306, 281, 589, 476, 274, 269, 4888, 306, 281, 589, 28267, 297, 281, 476, 276, 268, 274, 269, 272, 4635, 7638, 23753, 4813, 15562, 18306, 4888, 14684, 2207, 476, 275, 269, 4888, 306, 281, 630, 343, 1341, 476, 277, 7565, 343, 476, 273, 476, 277, 343, 1341, 476, 3607, 264, 28267, 297, 281, 476, 277, 268, 275, 269, 273, 14572, 12307, 676, 692, 2162, 634, 6396, 540, 3487, 658, 17773, 4569, 476, 13199, 20145, 4083, 11354, 476, 1001, 276, 692, 305, 1049, 3252, 269, 607, 634, 6396, 540, 3487, 658, 17773, 4569, 476, 1556, 20145, 4083, 11354, 476, 27888, 31962, 602, 513, 7787, 1599, 568, 513, 23479, 540, 1079, 21335, 971, 535, 3287, 264, 575, 3287, 264, 815, 476, 274, 343, 276, 1341, 1535, 476, 274, 1341, 476, 1626, 343, 1535, 476, 2568, 269, 634, 1505, 692, 2162, 623, 7473, 2793, 300, 570, 6938, 2562, 5058, 623, 5357, 312, 301, 6865, 24361, 306, 269, 20113, 476, 272, 269, 4855, 513, 9971, 609, 7533, 14170, 4171, 21325, 1331, 476, 273, 1341, 476, 276, 780, 303, 7473, 2793, 300, 570, 6938, 2562, 5058, 623, 5357, 312, 301, 6865, 24361, 306, 630, 8310, 8242, 281, 5437, 476, 1704, 267, 476, 1001, 276, 264, 3816, 1046, 269, 901, 568, 513, 1592, 540, 5751, 593, 21335, 269, 20353, 3241, 589, 269, 700, 1069, 320, 20113, 476, 272, 269, 4855, 513, 9971, 609, 7533, 14170, 4171, 21325, 1331, 692, 2162, 6167, 290, 3036, 3918, 6311, 3633, 623, 17803, 11550, 302, 12396, 692, 15893, 543, 543, 7223, 5440, 2975, 476, 1704, 27155, 338, 476, 1704, 269, 272, 11137, 4208, 1451, 713, 286, 3807, 607, 1297, 568, 4121, 538, 5933, 267, 865, 1932, 616, 11708, 269, 1411, 723, 1044, 2679, 707, 1702, 540, 11708, 543, 3252, 936, 942, 780, 2162, 20698, 9792, 3955, 335, 15684, 568, 513, 1505, 540, 17501, 606, 3830, 547, 513, 1305, 540, 2798, 602, 3252, 1134, 950, 972, 616, 1906, 2798, 2016, 780, 21691, 8662, 338, 630, 2419, 269, 272, 264, 5530, 6651, 676, 29172, 267, 808, 299, 267, 589, 313, 267, 16671, 267, 15562, 267, 670, 299, 20698, 9792, 3955, 335, 15684, 568, 513, 1505, 540, 17501, 606, 3830, 547, 513, 1305, 540, 2798, 602, 3252, 1134, 950, 972, 616, 1906, 2798, 2016, 269, 590, 26474, 521, 1505, 692, 2162, 20023, 281, 1403, 623, 568, 513, 9971, 543, 952, 524, 568, 513, 1297, 971, 602, 623, 630, 322, 264, 815, 476, 271, 1287, 524, 568, 513, 4642, 540, 623, 780, 21316, 295, 476, 8099, 1556, 674, 18853, 5058, 11555, 3201, 2098, 2207, 5308, 23794, 308, 5508, 589, 623, 5357, 312, 301, 6865, 24361, 26479, 281, 27155, 281, 568, 513, 1599, 540, 519, 1106, 623, 630, 343, 264, 815, 513, 562, 1535, 562, 1341, 513, 562, 476, 272, 1535, 562, 476, 272, 1341, 1341, 513, 1535, 1341, 513, 476, 272, 1535, 1341, 513, 476, 271, 269, 634, 2338, 513, 562, 267, 513, 562, 476, 272, 267, 24222, 513, 476, 272, 267, 513, 476, 271, 616, 1572, 692, 2162, 25767, 538, 707, 21641, 281, 5410, 606, 1383, 540, 1142, 2165, 609, 519, 6698, 1031, 538, 7223, 476, 273, 952, 972, 616, 1022, 780, 31580, 476, 273, 910, 3848, 2776, 7528, 28987, 18500, 25767, 538, 707, 21641, 281, 5410, 606, 1383, 540, 1142, 2165, 609, 519, 6698, 1031, 538, 7223, 476, 273, 952, 972, 616, 1022, 269, 623, 272, 533, 269, 476, 272, 476, 272, 269, 10203, 3799, 1823, 264, 2338, 910, 2715, 272, 267, 273, 267, 274, 267, 275, 28011, 10926, 2162, 27155, 25285, 543, 12307, 692, 21691, 8662, 25285, 543, 12307, 901, 568, 513, 2731, 2673, 5346, 4605, 540, 4764, 269, 26419, 269, 634, 4605, 4564, 9991, 1216, 7745, 1524, 883, 6675, 267, 1142, 609, 1079, 7250, 8444, 4448, 547, 835, 5135, 692, 2162, 6715, 23552, 540, 21929, 12793, 692, 18204, 23552, 540, 21929, 12793, 8845, 681, 269, 674, 738, 517, 11137, 589, 7787, 1599, 814, 519, 1106, 1141, 533, 543, 7117, 616, 21335, 269, 1280, 1383, 267, 678, 3287, 264, 815, 533, 3287, 264, 7117, 3287, 264, 535, 3287, 264, 815, 1535, 273, 476, 274, 1535, 476, 275, 1341, 476, 274, 267, 575, 6025, 264, 815, 512, 277, 1341, 476, 275, 339, 476, 273, 476, 274, 267, 476, 278, 339, 476, 276, 1341, 476, 274, 339, 692, 2162, 476, 274, 269, 273, 634, 16748, 14497, 543, 634, 3816, 664, 1457, 14497, 692, 274, 269, 634, 16748, 14497, 543, 634, 3816, 664, 1457, 14497, 476, 6872, 476, 274, 269, 634, 16748, 14497, 543, 634, 3816, 664, 1457, 14497, 14597, 649, 6999, 547, 1265, 519, 21325, 540, 535, 3287, 264, 815, 1535, 476, 274, 1341, 476, 275, 343, 476, 276, 343, 476, 275, 269, 17553, 535, 3287, 264, 815, 476, 271, 2164, 538, 519, 9971, 692, 2162, 476, 272, 17976, 281, 16949, 540, 7787, 3252, 676, 17883, 692, 299, 15145, 281, 16949, 540, 7787, 3252, 676, 17883, 883, 9864, 8454, 25506, 543, 11753, 2596, 7787, 3252, 267, 4849, 950, 519, 14009, 568, 513, 1379, 540, 606, 9048, 3027, 1043, 13392, 780, 2162, 476, 272, 269, 274, 10789, 545, 25285, 692, 272, 269, 274, 10789, 545, 25285, 589, 9971, 568, 606, 4082, 540, 519, 1106, 281, 513, 562, 1535, 562, 1341, 513, 562, 476, 272, 1535, 562, 476, 272, 1341, 1862, 1341, 513, 476, 273, 1535, 476, 273, 1341, 513, 476, 272, 1535, 1341, 513, 476, 271, 634, 2338, 513, 476, 272, 267, 513, 476, 273, 267, 24222, 513, 562, 616, 1572, 14170, 269, 3962, 540, 519, 5094, 2694, 10484, 2162, 476, 277, 12327, 307, 21715, 5058, 9338, 12283, 289, 6938, 269, 476, 277, 269, 271, 4985, 269, 476, 277, 269, 272, 634, 12945, 3830, 269, 20505, 692, 277, 12327, 307, 21715, 5058, 9338, 12283, 289, 6938, 3848, 476, 277, 6987, 2056, 10789, 20505, 2991, 4974, 713, 3184, 596, 1058, 1174, 2553, 17929, 4834, 540, 12945, 4110, 543, 2362, 666, 581, 12193, 282, 581, 2111, 547, 3815, 1047, 692, 2162, 476, 277, 269, 272, 5410, 1299, 16265, 847, 27155, 20309, 1299, 12793, 692, 277, 269, 272, 5410, 1299, 16265, 847, 27155, 20309, 1299, 12793, 20505, 476, 272, 269, 5700, 519, 2495, 540, 519, 1913, 2165, 267, 1395, 6706, 267, 23481, 267, 959, 30796, 267, 9971, 267, 4110, 267, 11664, 267, 899, 2474, 267, 9971, 30775, 527, 517, 267, 844, 731, 4135, 545, 692, 280, 269, 274, 14572, 28065, 12307, 676, 4635, 519, 28065, 16754, 476, 280, 269, 274, 28267, 297, 4488, 30888, 2464, 476, 272, 269, 16534, 513, 13392, 3830, 676, 1210, 519, 13392, 4542, 476, 273, 269, 14419, 519, 2470, 540, 519, 3435, 540, 513, 13392, 3830, 692, 2162, 10789, 1133, 17569, 539, 12474, 1280, 519, 1007, 5871, 11759, 4441, 602, 786, 581, 2500, 538, 782, 3345, 10491, 3506, 538, 519, 476, 1001, 273, 268, 1724, 1153, 1032, 780, 1607, 3561, 568, 2966, 547, 948, 3345, 10491, 7855, 4001, 519, 5871, 11759, 630, 24092, 6092, 540, 5530, 1040, 715, 7374, 18444, 5234, 616, 16111, 21130, 543, 5355, 891, 2645, 547, 1732, 4196, 3610, 269, 10789, 692, 2162, 623, 5357, 312, 301, 6865, 24361, 674, 7419, 290, 16739, 692, 303, 5357, 312, 301, 6865, 24361, 674, 7419, 290, 16739, 27155, 10406, 907, 476, 27183, 634, 21929, 20023, 4530, 32465, 28766, 29439, 27525, 521, 14329, 540, 20050, 1862, 476, 29204, 634, 3816, 664, 1457, 14497, 32465, 4029, 15531, 782, 2098, 14058, 540, 513, 27155, 9577, 2807, 1862, 3451, 5675, 513, 692, 2162, 4082, 568, 2854, 23276, 269, 634, 7831, 2474, 16733, 273, 7565, 476, 275, 4297, 1317, 789, 616, 519, 2063, 2474, 540, 519, 1079, 21335, 269, 901, 568, 1572, 519, 29332, 6579, 1505, 780, 288, 9971, 540, 4110, 562, 630, 514, 835, 4756, 267, 609, 1483, 14170, 264, 568, 606, 4082, 540, 519, 1106, 281, 513, 562, 1535, 562, 1341, 513, 562, 476, 272, 1535, 562, 476, 272, 1341, 513, 562, 476, 273, 1535, 562, 476, 273, 1341, 1341, 513, 476, 273, 1535, 476, 273, 1341, 513, 476, 272, 1535, 1341, 513, 476, 271, 1141, 513, 562, 267, 513, 562, 476, 272, 267, 513, 562, 476, 273, 267, 513, 476, 273, 267, 513, 476, 272, 267, 513, 476, 271, 616, 692, 2162, 13335, 269, 20895, 269, 476, 274, 268, 272, 27155, 12793, 476, 274, 268, 273, 15531, 21929, 2098, 14058, 540, 269, 27155, 269, 476, 274, 268, 274, 20976, 26305, 7464, 2098, 14058, 540, 780, 21691, 8662, 543, 21929, 12793, 20895, 476, 274, 268, 272, 27155, 12793, 476, 274, 268, 273, 15531, 21929, 2098, 14058, 540, 27155, 338, 476, 274, 268, 274, 20976, 26305, 7464, 2098, 14058, 540, 27155, 338, 476, 274, 268, 275, 21929, 12793, 3848, 476, 274, 6828, 11314, 1384, 2162, 476, 280, 269, 623, 5357, 312, 301, 6865, 24361, 306, 269, 7151, 476, 272, 281, 634, 4082, 513, 3287, 264, 815, 1535, 476, 274, 476, 275, 343, 476, 273, 1341, 476, 278, 343, 476, 1556, 568, 513, 9971, 538, 1535, 269, 634, 14170, 540, 513, 3287, 264, 616, 519, 2338, 476, 272, 267, 476, 275, 267, 476, 278, 267, 476, 1556, 780, 280, 269, 623, 5357, 312, 301 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2186, 540, 6653, 3694, 269, 634, 3636, 267, 25970, 20416, 1500, 1744, 16336, 779, 5023, 1216, 269, 634, 7023, 20493, 16990, 569, 269, 968, 296, 4941, 547, 9684, 596, 585, 782, 540, 519, 14274, 267, 543, 594, 723, 547, 16153, 602, 594, 3576, 513, 1906, 824, 1919, 543, 12479, 596, 9327, 1406, 2247, 3034, 4537, 16336, 7948, 1406, 1589, 540, 4376, 3116, 538, 1200, 4677, 602, 1185, 1044, 4502, 16276, 543, 1767, 607, 1454, 269, 968, 17764, 267, 855, 596, 1705, 2223, 519, 7023, 1767, 269, 968, 2791, 1185, 930, 540, 519, 840, 1777, 5006, 1990, 1075, 577, 7236, 594, 4076, 2479, 2938, 3034, 4537, 16336, 729, 11821, 269, 2098, 1075, 577, 7236, 538, 1200, 4677, 286, 1358, 22821, 1406, 1256, 12630, 1022, 1990, 1075, 577, 7236, 269, 16393, 972, 723, 1044, 835, 887, 326, 826, 1990, 1075, 577, 7236, 602, 17708, 1540, 909, 538, 930, 7944, 540, 519, 13452, 286, 6884, 519, 4677, 4371, 1346, 2370, 26208, 267, 855, 1744, 16336, 7948, 1406, 4952, 1141, 621, 1131, 581, 563, 3719, 1200, 7023, 29739, 602, 972, 2731, 941, 6505, 25984, 1990, 1075, 577, 7236, 538, 1744, 16336, 779, 4677, 269, 1358, 14201, 1406, 5458, 267, 855, 789, 941, 30362, 543, 22691, 267, 609, 513, 8799, 5835, 512, 16636, 563, 4537, 16336, 779, 7279, 3893, 519, 1732, 540, 1200, 543, 1352, 1185, 547, 979, 1294, 1141, 519, 1990, 1075, 577, 7236, 1185, 6738, 269, 634, 1079, 540, 873, 15336, 1927, 883, 519, 18147, 543, 936, 547, 513, 11903, 602, 729, 3395, 2282, 519, 14274, 269, 1879, 519, 7023, 11329, 693, 519, 1279, 3039, 5388, 267, 1744, 16336, 20493, 563, 2108, 11039, 267, 2965, 267, 1346, 616, 31480, 602, 649, 2760, 19122, 267, 1317, 789, 3893, 1932, 2462, 267, 2571, 543, 15280, 585, 4189, 610, 666, 940, 3034, 763, 7023, 6743, 693, 1744, 16336, 267, 8710, 2854, 782, 936, 1200, 3068, 269, 2701, 575, 592, 6244, 513, 1906, 2053, 267, 543, 1287, 267, 32127, 267, 4371, 856, 519, 3694, 267, 851, 540, 513, 16801, 1352, 1185, 3838, 782, 936, 519, 8378, 269, 968, 296, 4547, 596, 513, 8799, 3138, 2378, 540, 29475, 3694, 269, 594, 4126, 596, 899, 621, 3034, 1607, 4677, 24983, 5129, 856, 609, 513, 2013, 540, 19451, 10448, 3961, 563, 5629, 596, 1451, 875, 547, 1688, 3049, 23832, 18346, 267, 596, 3580, 581, 27086, 693, 875, 2653, 621, 568, 256, 3399, 676, 2870, 713, 2241, 18789, 23832, 12704, 28680, 547, 13793, 538, 707, 6885, 269, 3973, 267, 950, 519, 23832, 18346, 616, 1031, 547, 8023, 689, 621, 267, 2490, 621, 883, 513, 1688, 13463, 671, 23832, 12704, 28680, 543, 3142, 519, 2962, 1318, 909, 2673, 2336, 268, 476, 1321, 6279, 540, 476, 1240, 3766, 879, 613, 7601, 5911, 454, 268, 476, 272, 270, 273, 20878, 32137, 7484, 609, 513, 8559, 538, 519, 3490, 454, 268, 21311, 1449, 8546, 609, 1698, 454, 268, 5463, 20753, 19273, 630, 28436, 994, 268, 14464, 8768, 1510, 6565, 454, 268, 9540, 5911, 2759, 1562, 454, 268, 1773, 4536, 630, 1721, 6335, 532, 543, 3303, 2718, 5911, 994, 29493, 606, 476, 279, 20878, 4062, 689, 519, 7601, 5911, 269, 2913, 519, 5911, 6923, 1491, 513, 3368, 2173, 3019, 3337, 269, 700, 864, 476, 273, 6279, 540, 519, 5911, 998, 519, 8559, 538, 519, 32137, 7484, 543, 1287, 16784, 543, 6335, 519, 5911, 2394, 5150, 563, 289, 754, 519, 3476, 1439, 540, 519, 5911, 9900, 609, 707, 3946, 883, 606, 9095, 267, 6028, 476, 274, 270, 275, 10759, 693, 519, 1360, 1439, 585, 519, 13622, 602, 786, 8936, 547, 519, 28680, 269, 6875, 707, 726, 4536, 543, 1118, 513, 1804, 8520, 693, 519, 1360, 1439, 540, 519, 9095, 267, 8108, 513, 1352, 23311, 779, 13622, 267, 609, 519, 1930, 1439, 593, 519, 1283, 610, 6849, 909, 269, 901, 786, 1118, 621, 4443, 547, 8936, 519, 8023, 8546, 3533, 543, 786, 2061, 519, 28680, 689, 9991, 1055, 563, 12648, 519, 6967, 476, 275, 6279, 540, 7601, 5911, 543, 16833, 621, 1472, 519, 1449, 8546, 267, 609, 835, 1439, 1454, 3476, 982, 519, 824, 269, 2422, 726, 4536, 547, 6335, 543, 5150, 519, 5911, 547, 519, 1449, 8546, 269, 901, 1058, 4734, 513, 476, 274, 270, 275, 20878, 2766, 6967, 547, 8936, 513, 16560, 4837, 29950, 269, 22391, 519, 8258, 596, 723, 1500, 811, 982, 28870, 909, 519, 8546, 267, 865, 602, 950, 2407, 267, 519, 28680, 786, 3251, 909, 563, 20228, 728, 1776, 29950, 5196, 519, 1930, 1439, 540, 519, 5911, 20386, 1472, 519, 8546, 543, 946, 726, 4536, 547, 18700, 519, 5911, 543, 2673, 621, 909, 4625, 269, 3767, 519, 7601, 5911, 568, 20386, 16119, 1472, 519, 8023, 8546, 543, 596, 723, 513, 8520, 547, 8936, 547, 707, 13622, 609, 519, 32137, 7484, 563, 13014, 513, 1507, 8559, 538, 519, 8546, 779, 1698, 267, 1747, 621, 593, 519, 8546, 543, 1093, 651, 519, 1439, 540, 519, 5841, 8768, 998, 519, 4099, 865, 602, 519, 23832, 18346, 666, 1205, 693, 519, 22060, 607, 6923, 607, 2009, 269, 1403, 519, 8768, 3085, 1406, 723, 513, 8559, 538, 621, 267, 1118, 835, 609, 513, 8930, 563, 16920, 778, 519, 6806, 8520, 593, 519, 8546, 547, 519, 16057, 1922, 5217, 1352, 23311, 779, 13622, 609, 519, 32137, 7484, 269, 5269, 2386, 707, 6885, 568, 2973, 865, 519, 32137, 7484, 786, 581, 5150, 563, 5629, 789, 4076, 1336, 707, 28680, 267, 596, 3580, 1616, 547, 917, 875, 547, 3049, 23832, 18346, 676, 1688, 269, 2991, 519, 5017, 616, 6899, 1210, 519, 28680, 609, 596, 7404, 267, 1491, 519, 1985, 1900, 269, 4495, 519, 5017, 8038, 2476, 267, 3180, 519, 28680, 538, 707, 1688, 6849, 2476, 689, 596, 269, 13773, 607, 1869, 607, 2009, 269, 4495, 519, 5017, 1205, 1031, 547, 596, 267, 789, 3580, 1935, 596, 1510, 4250, 2336, 6624, 1004, 5326, 540, 1565, 875, 547, 1688, 3049, 23832, 18346, 269, 901, 18789, 1688, 13463, 671, 23832, 12704, 28680, 568, 519, 3501, 1259, 547, 1376, 2336, 12441, 333, 1406, 1205, 1472, 547, 7738, 856, 1346, 8768, 15135, 713, 2887, 286, 3767, 596, 666, 17854, 621, 1765, 2254, 1152, 568, 621, 1434, 585, 707, 2371, 267, 855, 621, 779, 849, 513, 1390, 1426, 2707, 585, 519, 5017, 256, 594, 3580, 16153, 594, 13948, 946, 891, 2300, 4926, 513, 2370, 1932, 1419, 547, 2322, 1055, 15489, 26050, 269, 5901, 538, 2247, 602, 596, 786, 991, 547, 4894, 1022, 30428, 2371, 267, 855, 6028, 519, 6079, 24481, 2371, 909, 2965, 4679, 519, 4960, 540, 519, 2371, 685, 5162, 6668, 269, 1656, 609, 6777, 344, 2395, 543, 16171, 17334, 267, 707, 905, 9312, 2828, 616, 3168, 585, 1426, 1175, 827, 9170, 789, 666, 1205, 621, 267, 865, 789, 3580, 5660, 519, 3063, 1426, 519, 2371, 1683, 563, 1103, 513, 1158, 540, 9583, 11566, 2030, 543, 12202, 1587, 5079, 267, 621, 779, 1271, 547, 723, 4388, 267, 15361, 267, 543, 2093, 3358, 547, 596, 269, 4855, 856, 1018, 2186, 540, 32529, 596, 616, 267, 543, 1205, 5796, 547, 948, 596, 1332, 707, 1655, 4677, 2943, 2336, 13126, 281, 1548, 9877, 540, 8493, 10273, 3657, 1411, 286, 0, 9928, 21329, 7330, 910, 15930, 454, 12901, 2884, 600, 2817, 30895, 454, 347, 21900, 657, 676, 5484, 16721, 601, 6390, 454, 9928, 21329, 7330, 30310, 19534, 454, 763, 544, 4428, 1194, 14941, 781, 8909, 5066, 814, 10726, 454, 763, 17199, 781, 2063, 31024, 3248, 5591, 811, 593, 1272, 781, 31959, 4927, 2743, 454, 6546, 12703, 543, 15468, 1906, 563, 4002, 674, 877, 781, 18163, 22742, 2666, 2676, 19853, 14980, 512, 757, 616, 3262, 2676, 4517, 3794, 800, 22651, 267, 609, 32444, 5180, 2676, 763, 536, 643, 537, 659, 540, 519, 4666, 563, 763, 6406, 2782, 6370, 693, 26588, 1186, 7921, 267, 15930, 267, 6825, 4937, 10557, 781, 1101, 12289, 540, 519, 3345, 269, 4438, 602, 835, 1554, 593, 5181, 476, 1704, 267, 476, 5908, 273, 267, 811, 982, 476, 2537, 267, 1822, 2367, 941, 20754, 267, 7166, 610, 4080, 7508, 267, 519, 1973, 5006, 835, 6377, 6370, 540, 519, 6406, 2782, 269, 634, 1259, 519, 4666, 941, 26558, 1176, 12617, 3366, 547, 513, 29695, 8289, 267, 20872, 513, 1544, 585, 519, 4165, 2884, 600, 2817, 30895, 269, 634, 28200, 729, 6192, 676, 5181, 476, 5908, 278, 538, 942, 585, 519, 11428, 18428, 593, 519, 11359, 16683, 540, 519, 6370, 563, 763, 4165, 2884, 600, 2817, 30895, 538, 26588, 1186, 7921, 6585, 519, 30401, 540, 476, 5325, 278, 277, 5742, 4666, 267, 609, 936, 476, 5197, 271, 30401, 6825, 7164, 269, 4014, 513, 1906, 540, 519, 4666, 8694, 909, 538, 1858, 5939, 524, 655, 2678, 625, 267, 1034, 25096, 941, 12617, 538, 554, 4292, 267, 609, 4609, 8151, 689, 2582, 30401, 547, 1279, 267, 13719, 512, 29168, 585, 7366, 540, 4703, 269, 1635, 4728, 267, 476, 5908, 276, 267, 519, 3557, 540, 15930, 3964, 513, 8628, 19746, 3135, 676, 11449, 476, 1556, 14143, 585, 1175, 936, 835, 8536, 9489, 269, 1234, 5793, 2590, 519, 4666, 729, 606, 818, 706, 748, 4305, 267, 9991, 5097, 547, 1079, 2367, 267, 26826, 6153, 543, 9478, 28711, 269, 29179, 11884, 540, 741, 942, 267, 519, 4666, 941, 4857, 676, 5022, 267, 1019, 2456, 267, 11147, 267, 7436, 593, 741, 26797, 610, 7047, 16466, 10833, 267, 543, 11042, 609, 14077, 543, 15000, 269, 2311, 2112, 781, 1439, 267, 15280, 1145, 267, 19220, 543, 3668, 540, 7482, 6854, 519, 7013, 28583, 919, 689, 30565, 532, 741, 4666, 693, 4165, 2884, 600, 563, 763, 17721, 22307, 1512, 31790, 6763, 607, 513, 4099, 12328, 540, 519, 28200, 267, 9380, 539, 538, 476, 6942, 277, 676, 6276, 24504, 339, 1729, 269, 634, 25342, 18533, 6763, 476, 4510, 3952, 7381, 267, 20604, 538, 693, 476, 7742, 9748, 269, 634, 18533, 267, 1217, 958, 1634, 607, 454, 23945, 2659, 16731, 454, 301, 792, 2421, 18745, 540, 9314, 454, 15648, 9736, 476, 1220, 280, 268, 1428, 18148, 16721, 601, 6390, 454, 5472, 7126, 27616, 0, 307, 11698, 267, 5130, 476, 4029, 267, 476, 1001, 278, 454, 5591, 891, 616, 711, 3043, 17436, 269, 2334, 568, 1018, 513, 6666, 1512, 693, 513, 2199, 17365, 4558, 4280, 1082, 1296, 3516, 269, 1358, 616, 16163, 333, 2354, 543, 1250, 8152, 27512, 20516, 6068, 873, 563, 3383, 1018, 616, 16163, 333, 2354, 286, 888, 303, 1513, 333, 2354, 568, 513, 3597, 10448, 602, 568, 1644, 9103, 646, 31577, 543, 16163, 2917, 269, 28611, 6738, 607, 606, 5993, 855, 568, 5963, 513, 536, 1329, 333, 658, 2030, 269, 634, 16163, 30876, 568, 1279, 8546, 899, 3597, 602, 568, 8645, 11954, 538, 1312, 2960, 543, 17145, 269, 634, 3476, 2451, 538, 519, 2666, 621, 3587, 4418, 2678, 538, 8137, 269, 1717, 952, 2451, 547, 1279, 621, 786, 8768, 693, 519, 6565, 543, 519, 3597, 786, 581, 1875, 17580, 563, 763, 16163, 30876, 814, 1044, 1031, 607, 513, 10448, 585, 1082, 1296, 543, 7389, 1394, 547, 14564, 946, 269, 634, 16163, 30876, 8452, 538, 519, 772, 2529, 6993, 538, 519, 476, 866, 628, 2540, 563, 303, 1513, 333, 2354, 666, 581, 5423, 513, 1297, 540, 2081, 269, 1358, 616, 7363, 11273, 1354, 4189, 855, 949, 849, 581, 17696, 6151, 269, 29807, 333, 2354, 616, 1164, 538, 1312, 8324, 543, 6886, 269, 29807, 333, 2354, 616, 1164, 538, 11379, 267, 14434, 543, 6775, 269, 0, 303, 19948, 593, 6249, 281, 834, 14549, 4197, 540, 1312, 3047, 543, 6611, 814, 932, 6548, 3683, 5384, 5149, 661, 281, 13445, 2290, 1701, 1765, 19809, 13973, 912, 14549, 4197, 540, 1312, 3047, 543, 6611, 814, 932, 6548, 3683, 5384, 5149, 661, 281, 13445, 2290, 454, 272, 269, 272, 7216, 14358, 6168, 519, 15328, 21573, 5291, 2517, 4178, 28938, 2593, 11320, 2255, 286, 341, 284, 654, 343, 29841, 301, 3041, 340, 297, 23354, 261, 10623, 1155, 284, 22366, 454, 9199, 9535, 15328, 332, 1670, 15638, 15020, 2027, 5993, 2621, 538, 3504, 2053, 941, 1151, 560, 1182, 543, 1226, 514, 2135, 525, 563, 28606, 2195, 15585, 566, 543, 1530, 3517, 2423, 2195, 10047, 543, 519, 1946, 12405, 4755, 454, 22069, 560, 823, 3752, 560, 823, 1107, 4564, 519, 20125, 543, 13074, 5712, 540, 21765, 1107, 15604, 1151, 560, 823, 281, 20125, 1974, 540, 21765, 5463, 269, 476, 2641, 588, 538, 519, 8832, 25955, 1107, 14400, 1151, 560, 823, 281, 13074, 1974, 540, 21765, 4873, 476, 2641, 588, 538, 519, 8832, 25955, 454, 13420, 514, 2135, 4982, 514, 2135, 1107, 3115, 637, 757, 5712, 540, 3160, 1554, 543, 3781, 1107, 4201, 636, 2522, 1226, 514, 2135, 281, 4386, 538, 519, 2887, 5181, 476, 2420, 26998 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 22209, 16552, 543, 32100, 454, 25238, 539, 5344, 547, 519, 3965, 540, 23067, 626, 28965, 2473, 13183, 641, 9567, 657, 2008, 347, 3369, 846, 1433, 3126, 968, 26473, 22044, 609, 595, 637, 25728, 334, 9495, 1496, 272, 267, 273, 267, 274, 316, 15427, 476, 713, 1957, 2008, 347, 2171, 953, 568, 711, 827, 2348, 513, 2603, 540, 2724, 282, 621, 779, 827, 2348, 513, 2603, 540, 3681, 2008, 347, 2419, 5142, 9412, 630, 13563, 635, 539, 1014, 267, 5856, 267, 16073, 543, 8689, 10245, 347, 394, 510, 31149, 14832, 16483, 10382, 26018, 30307, 364, 31057, 494, 19031, 30307, 364, 13179, 15770, 16483, 685, 31057, 494, 19031, 14267, 413, 379, 355, 26420, 394, 511, 16708, 22886, 630, 5472, 602, 568, 9553, 594, 4163, 609, 803, 10245, 21270, 5362, 540, 30410, 2940, 630, 821, 540, 519, 5722, 5259, 521, 1137, 282, 476, 277, 628, 524, 269, 7460, 282, 2008, 347, 638, 6838, 538, 5824, 676, 595, 545, 3266, 267, 21537, 2135, 320, 853, 18757, 28262, 594, 267, 476, 279, 267, 607, 968, 25537, 11844, 803, 320, 803, 322, 636, 2823, 334, 892, 10245, 1492, 4909, 2042, 540, 6848, 2079, 609, 513, 9039, 638, 10329, 1935, 267, 513, 1007, 7406, 540, 4704, 3710, 2390, 4207, 5672, 25233, 3741, 267, 1519, 2489, 1949, 3069, 543, 1344, 3069, 563, 15187, 334, 1696, 620, 269, 2073, 945, 849, 1031, 13391, 13704, 685, 3069, 267, 3177, 2370, 948, 538, 5587, 4328, 1018, 1514, 23811, 568, 269, 21298, 267, 667, 532, 320, 1696, 620, 269, 2073, 2679, 593, 13391, 13704, 779, 3069, 267, 5587, 1881, 267, 2864, 12007, 569, 267, 519, 1523, 540, 1514, 23811, 607, 5205, 281, 630, 328, 264, 621, 3112, 581, 540, 513, 5687, 17871, 1826, 282, 630, 4512, 264, 621, 1590, 581, 524, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 13286, 12793, 543, 20518, 1903, 257, 607, 851, 540, 834, 21316, 30388, 1315, 13129, 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 ]
[ 875, 7250, 5950, 689, 2241, 22803, 6675, 454, 7945, 607, 993, 710, 1532, 528, 6951, 609, 519, 6626, 3804, 540, 3384, 2994, 547, 454, 516, 951, 4601, 5391, 4733, 7250, 689, 891, 6675, 563, 347, 7656, 269, 20219, 301, 8025, 2464, 3041, 5442, 309, 5357, 309, 5058, 454, 347, 6271, 8905, 649, 616, 3695, 547, 454, 14127, 3693, 1700, 324, 2211, 7554, 454, 529, 998, 519, 5108, 540, 1970, 29705, 550, 15998, 269, 17449, 454, 2181, 15479, 832, 547, 1970, 1130, 550, 15998, 616, 1634, 585, 14402, 2609, 971, 454, 553, 3327, 610, 9436, 269, 901, 568, 711, 3020, 585, 519, 18219, 1292, 31228, 454, 324, 6123, 269, 1284, 723, 1044, 14236, 13672, 268, 601, 574, 1588, 2676, 2169, 337, 4288, 540, 513, 1970, 29705, 550, 23650, 689, 513, 5912, 2173, 13926, 267, 607, 835, 454, 335, 6372, 8905, 547, 891, 2186, 540, 2249, 269, 21298, 267, 649, 723, 4362, 454, 1492, 1101, 3236, 540, 29512, 13672, 268, 1513, 514, 573, 2940, 17594, 563, 347, 1284, 616, 454, 10193, 5461, 538, 12423, 5499, 454, 709, 5052, 547, 17034, 1970, 29705, 550, 1292, 31228, 15998, 269, 589, 2487, 454, 31141, 538, 713, 1858, 568, 938, 7041, 540, 513, 943, 657, 6495, 1779, 2940, 454, 9852, 1961, 9908, 609, 513, 623, 284, 290, 6125, 264, 676, 454, 12133, 542, 540, 606, 568, 30662, 728, 883, 513, 1990, 597, 935, 1756, 14428, 6664, 11501, 6125, 269, 769, 713, 454, 516, 9146, 267, 649, 1491, 513, 20749, 2139, 16903, 2707, 267, 513, 3119, 454, 874, 6664, 710, 267, 543, 3927, 1569, 513, 8485, 514, 573, 2940, 9497, 11266, 8442, 23650, 609, 454, 347, 5978, 2468, 600, 18480, 8533, 23838, 454, 17647, 1044, 11212, 3811, 3976, 2484, 269, 1284, 2503, 602, 519, 2746, 2032, 454, 1993, 891, 2249, 666, 581, 22934, 676, 19260, 547, 519, 5885, 14270, 663, 563, 13295, 267, 649, 3343, 547, 2087, 5551, 3601, 543, 2746, 2032, 676, 4657, 454, 1492, 14270, 663, 1062, 269, 1284, 723, 13175, 513, 5698, 609, 7905, 4856, 320, 454, 10387, 800, 2160, 607, 851, 540, 891, 454, 347, 10932, 538, 519, 4826, 2006, 6828, 568, 1252, 3585, 6462, 676, 513, 1297, 540, 8041, 998, 14828, 543, 17758, 563, 27138, 269, 590, 269, 2817, 3163, 5853, 5406, 630, 326, 7949, 1297, 595, 4047, 268, 5881, 275, 278, 8618, 273, 994, 268, 10932, 15278, 585, 3163, 21992, 618, 998, 513, 595, 2714, 22641, 10104, 13815, 547, 681, 269, 654, 563, 25575, 15728, 623, 269, 3752, 534, 7690, 998, 513, 3194, 26665, 23050, 547, 681, 269, 654, 563, 12677, 11906, 5980, 8891, 15950, 3194, 8750, 630, 326, 7949, 1297, 476, 5379, 277, 5780, 280, 8566, 274, 994, 13305, 1069, 2632, 6611, 16827, 3117, 24832, 630, 24836, 9958, 3194, 32113, 1218, 1222, 585, 1323, 2297, 324, 631, 5417, 2135, 994, 268, 19061, 10323, 3633, 630, 8999, 1067, 7616, 585, 1164, 1153, 1053, 994, 268, 4462, 1853, 640, 540, 28599, 630, 11034, 5346, 7482, 994, 8310, 9168, 4873, 476, 279, 267, 476, 1220, 280, 476, 4962, 281, 1839, 0, 288, 943, 14535, 1460, 568, 513, 26704, 6177, 609, 513, 2766, 540, 4190, 4154, 543, 2699, 20034, 720, 630, 528, 13711, 543, 4544, 267, 676, 930, 2959, 1040, 898, 814, 513, 476, 7785, 268, 8517, 1032, 1272, 268, 12860, 267, 543, 2282, 519, 1439, 519, 943, 14535, 1460, 13976, 3294, 513, 9566, 540, 24036, 1000, 12127, 602, 621, 1287, 5337, 2572, 282, 1312, 9566, 543, 6177, 6633, 18979, 569, 543, 616, 4389, 547, 607, 1127, 267, 689, 799, 513, 1007, 267, 1762, 943, 14535, 1460, 610, 943, 14535, 1460, 4212, 14340, 267, 6450, 1941, 606, 1168, 547, 2661, 1586, 269, 634, 1007, 943, 14535, 1460, 568, 30758, 547, 2661, 607, 1279, 607, 922, 2025, 1582, 269, 769, 930, 2984, 267, 519, 1007, 943, 14535, 1460, 2377, 531, 916, 519, 607, 1127, 540, 922, 2025, 1582, 538, 606, 4212, 1500, 540, 1250, 337, 9071, 543, 12074, 621, 538, 519, 12266, 2749, 540, 4477, 11340, 12994, 630, 15711, 2749, 538, 5259, 1040, 634, 6177, 729, 849, 1767, 547, 16956, 4733, 950, 10413, 610, 20754, 676, 513, 535, 4141, 267, 3976, 1373, 3592, 32161, 543, 1045, 4532, 1043, 2443, 621, 568, 849, 1767, 602, 621, 666, 12115, 513, 1268, 609, 513, 15237, 689, 922, 4064, 543, 1118, 873, 17303, 4761, 547, 2669, 282, 898, 568, 513, 3090, 540, 3595, 543, 2820, 6541, 269, 0, 13563, 11595, 10378, 9218, 540, 519, 2296, 5678, 267, 19549, 9990, 454, 268, 7755, 269, 10671, 3931, 513, 1804, 18820, 282, 14427, 563, 268, 7755, 269, 4460, 539, 676, 1164, 5777, 281, 7199, 8637, 563, 28495, 1722, 9218, 543, 20676, 31638, 454, 268, 8779, 569, 282, 8506, 610, 1303, 9430, 1454, 13258, 281, 607, 267, 606, 7199, 10571, 610, 16491, 720, 282, 606, 7199, 1920, 282, 7199, 16919, 610, 6208, 563, 268, 5131, 538, 1163, 2056, 282, 12666, 282, 3063, 341, 698, 656, 282, 20662, 880, 563, 294, 26214, 28732, 781, 476, 4489, 274, 454, 268, 7755, 269, 12769, 5235, 532, 13258, 282, 10912, 585, 12666, 7979, 599, 282, 14427, 282, 15210, 282, 12666, 563, 268, 7755, 269, 4686, 5131, 538, 1163, 2056, 282, 1360, 12666, 282, 2523, 267, 538, 513, 3983, 2631, 281, 3063, 341, 698, 656, 282, 20662, 880, 563, 268, 7755, 269, 1164, 538, 3902, 610, 12123, 1164, 5777, 454, 268, 3245, 5824, 1163, 839, 643, 639, 267, 689, 13358, 699, 267, 5635, 13258, 630, 310, 1731, 5406, 776, 994, 2108, 7712, 19202, 17263, 13339, 568, 7199, 267, 1498, 267, 1210, 1164, 7779, 14848, 2306, 3859, 2281, 1256, 9041, 3467, 9041, 19763, 3034, 2108, 8005, 30128, 952, 789, 723, 1018, 596, 782, 24231, 547, 607, 7199, 5321, 543, 6517, 1862, 15367, 30128, 950, 789, 4312, 6707, 6659, 519, 1985, 5108, 540, 31852, 543, 3765, 920, 1218, 3034, 2108, 29834, 1131, 711, 2161, 875, 1454, 519, 7634, 883, 570, 637, 1088, 781, 715, 7563, 288, 13542, 1131, 1942, 267, 4352, 519, 6280, 814, 21534, 1079, 1018, 646, 1572, 834, 19763, 257, 3549, 547, 948, 3034, 24685, 2259, 267, 10097, 8027, 4667, 547, 1611, 968, 335, 3233, 1004, 2713, 538, 7199, 16973, 1848, 7536, 28490, 594, 2097, 1524, 609, 1978, 7199, 2564, 2042, 267, 1250, 4357, 1072, 1416, 2754, 666, 2161, 267, 834, 2005, 781, 711, 4988, 3034, 29467, 781, 1945, 844, 790, 29737, 827, 519, 21730, 20271, 894, 13909, 1895, 7836, 5215, 540, 6550, 540, 1857, 2724, 543, 9363, 538, 7199, 20730, 593, 513, 834, 2399, 4466, 257, 7552, 547, 29761, 3034, 2108, 3674, 621, 811, 982, 513, 6519, 31050, 7260, 20386, 538, 7199, 575, 574, 1157, 787, 18313, 2108, 307, 773, 621, 909, 538, 7199, 1072, 1416, 543, 2362, 9204, 547, 2628, 585, 824, 1004, 3478, 1416, 1287, 596, 723, 1447, 6666, 2095, 547, 707, 17927, 3034, 2108, 3528, 2484, 519, 2547, 7199, 568, 17842, 267, 799, 594, 3494, 630, 3286, 676, 3965, 264, 729, 1472, 1269, 4792, 300, 3034, 2108, 3719, 950, 24144, 4975, 8065, 6238, 4730, 519, 30209, 3556, 267, 596, 917, 1945, 31945, 543, 7199, 568, 827, 547, 4755, 3034, 4322, 3593, 29931, 730, 8638, 2270, 519, 2262, 2048, 19763, 17483, 12690, 1357, 22563, 19388, 334, 1031, 5097, 538, 2780, 5752, 563, 263, 1930, 1592, 267, 4351, 1145, 267, 2930, 3822, 267, 2520, 2131, 3717, 12467, 1690, 1314, 267, 3593, 267, 14721, 267, 4395, 754, 267, 1394, 754, 267, 6538, 267, 13483, 331, 267, 7014, 267, 1289, 267, 2531, 267, 11768, 267, 579, 328, 543, 476, 275, 4375, 811, 2483, 288, 2347, 1592, 540, 519, 3039, 6486, 630, 611, 16633, 264, 689, 519, 2442, 2262, 3014, 563, 25802, 2596, 1913, 585, 26613, 1053, 563, 8266, 2287, 547, 713, 607, 606, 8301, 1433, 585, 519, 2034, 942, 269, 7033, 744, 262, 289, 31151, 3096, 2241, 1913, 543, 2453, 547, 1390, 1198, 269, 15020, 1906, 4652, 600, 1791, 543, 2462, 1913, 1547, 634, 1603, 2511, 19595, 803, 540, 1913, 689, 2977, 2483, 7069, 19887, 267, 693, 1948, 275, 290, 538, 1250, 2679, 267, 568, 849, 1634, 607, 674, 1830, 20782, 269, 901, 1592, 3568, 1913, 543, 2453, 689, 938, 2199, 1893, 267, 7132, 930, 4967, 593, 519, 6165, 540, 10211, 6919, 538, 713, 1507, 14081, 563, 19185, 585, 17408, 1115, 585, 7199, 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 ]
[ 3184, 454, 1691, 6486, 538, 1305, 454, 293, 3224, 454, 12988, 454, 338, 2217, 454, 1103, 7194, 543, 11050, 1382, 12191, 267, 513, 1239, 3732, 568, 513, 1305, 540, 1239, 6394, 543, 5924, 5697, 689, 513, 8579, 2551, 676, 513, 3989, 5650, 454, 11743, 454, 1103, 6128, 267, 1611, 814, 1896, 1114, 8847, 4470, 593, 519, 2796, 454, 4364, 1014, 454, 763, 11667, 568, 519, 1871, 19459, 519, 2362, 3368, 540, 513, 1239, 3732, 267, 513, 2551, 267, 610, 513, 5506, 3892, 267, 689, 519, 2539, 3368, 454, 332, 1712, 454, 763, 7154, 568, 519, 1871, 602, 5526, 1034, 1419, 538, 513, 1305, 540, 1239, 454, 719, 17067, 454, 1103, 7194, 267, 606, 7979, 1512, 568, 606, 8343, 1448, 602, 568, 11397, 689, 824, 7422, 454, 9792, 454, 1103, 12980, 267, 519, 2039, 540, 513, 1305, 540, 1239, 568, 519, 3017, 1063, 519, 4102, 543, 10545, 2418, 454, 20598, 11539, 454, 1103, 7194, 267, 519, 3044, 11539, 568, 513, 2268, 602, 568, 1031, 547, 22945, 519, 2179, 540, 8390, 610, 24980, 540, 513, 1305, 540, 1239, 2418, 454, 325, 15968, 454, 293, 15968, 568, 519, 1297, 540, 20825, 540, 513, 18110, 2680, 829, 1770, 942, 454, 7290, 6945, 454, 288, 27008, 568, 513, 21370, 6041, 540, 519, 3892, 540, 10230, 1239, 454, 32483, 850, 454, 1103, 10855, 7194, 267, 519, 14415, 3796, 540, 513, 19486, 1305, 540, 1239, 2418, 616, 519, 1614, 2798, 602, 7941, 519, 1239, 1305, 883, 2185, 3160, 2516, 267, 1142, 1895, 16030, 513, 10116, 540, 519, 1239, 454, 704, 1417, 850, 454, 288, 30878, 568, 513, 2268, 1031, 538, 7194, 10834, 519, 1871, 2630, 799, 513, 2016, 6871, 540, 7422, 538, 513, 1895, 540, 7422, 2887, 454, 322, 636, 11494, 4908, 454, 290, 636, 11494, 4908, 2079, 568, 519, 2079, 540, 519, 4908, 540, 12136, 540, 2418, 540, 513, 7613, 1447, 982, 513, 4704, 1871, 454, 11907, 454, 10574, 568, 513, 1305, 540, 2418, 540, 12007, 610, 11050, 4632, 454, 321, 574, 27567, 454, 1103, 7194, 267, 513, 536, 574, 27567, 3892, 568, 513, 6024, 5506, 3892, 609, 1079, 1114, 12331, 692, 2414, 12260, 713, 8755, 15258, 1305, 596, 1590, 581, 513, 5530, 2593, 16588, 269, 0, 639, 692, 258, 2696, 17043, 527, 1004, 256, 476, 277, 270, 273, 263, 272, 266, 273, 264, 568, 476, 280, 269, 1215, 535, 7052, 1262, 2182, 1223, 621, 581, 31841, 30206, 538, 1412, 763, 966, 652, 756, 2544, 262, 3323, 676, 9371, 28398, 267, 4455, 476, 2767, 267, 476, 1001, 272, 780, 8253, 1930, 585, 2417, 30491, 780, 16274, 912, 22261, 476, 2641, 267, 476, 1220, 280, 454, 300, 612, 1137, 912, 6078, 267, 4037, 275, 454, 306, 11965, 14877, 692, 16274, 912, 12914, 476, 1556, 267, 476, 1220, 276, 454, 300, 612, 1137, 912, 736, 267, 6924, 273, 692, 16274, 912, 13202, 476, 280, 267, 476, 1001, 271, 454, 300, 612, 1137, 912, 4029, 267, 280, 7597, 692, 275, 269, 12693, 910, 293, 4141, 24552, 538, 24324, 630, 18484, 1405, 264, 2339, 780, 16274, 912, 11321, 476, 3066, 267, 476, 1220, 278, 454, 300, 612, 1137, 912, 279, 267, 29257, 454, 277, 270, 273, 263, 272, 266, 273, 264, 18092, 476, 277, 265, 272, 270, 273, 16732, 272, 266, 273, 264, 18092, 476, 277, 265, 272, 270, 273, 16732, 274, 264, 18092, 476, 274, 265, 274, 815, 476, 280, 692, 16274, 912, 13356, 476, 276, 267, 476, 1001, 271, 454, 300, 612, 1137, 912, 6858, 267, 1960, 454, 19613, 912, 4306, 17751, 19836, 3722, 3633, 454, 277, 270, 277, 284, 272, 692, 277, 269, 12693, 9412, 297, 517, 305, 3326, 5591, 984, 692, 16274, 912, 11321, 476, 1691, 267, 476, 1001, 272, 454, 300, 612, 1137, 912, 273, 267, 275, 4792, 454, 296, 3913, 1681, 645, 7495, 300, 3008, 2306, 803, 14220, 1932, 780, 278, 269, 12693, 966, 2033, 330, 318, 2918, 5591, 984, 692, 16274, 912, 20225, 476, 2420, 267, 476, 1220, 280, 454, 300, 612, 1137, 912, 274, 267, 25628, 454, 323, 573, 594, 4413, 1945, 1934, 2496, 279, 269, 12693, 744, 9536, 31306, 5591, 7043, 518, 513, 3143, 984, 692, 16274, 912, 22261, 476, 2537, 267, 476, 1001, 271, 454, 300, 612, 1137, 912, 2190, 267, 31430, 454, 296, 1810, 1405, 1174, 519, 10539, 269, 898, 781, 2241, 513, 2878, 29688, 634, 20735, 933, 568, 476, 280, 780, 280, 269, 12693, 1744, 4176, 318, 305, 599, 638, 18054, 313, 320, 674, 944, 26926, 483, 26827, 692, 16274, 912, 15037, 476, 2767, 267, 476, 1220, 278, 454, 300, 612, 1137, 912, 2412, 267, 279, 3583, 454, 10144, 616, 1427, 12023, 780, 1015, 269, 12693, 13793, 1478, 10734, 1195, 1432, 993, 594, 1869, 3257, 1934, 2496, 16274, 912, 22261, 476, 280, 267, 476, 1220, 275, 454, 300, 612, 1137, 912, 4366, 267, 276, 2918, 454, 2080, 568, 519, 1655, 7778, 594, 4312, 2938, 780, 19667, 1707, 666, 581, 17370, 9287, 607, 8691, 269, 1280, 1383, 1384, 275, 21680, 476, 273, 666, 581, 17370, 9287, 607, 476, 275, 2608, 476, 272, 270, 273, 269, 1924, 267, 27682, 519, 3312, 1966, 538, 891, 2474, 692, 277, 383, 371, 273, 263, 272, 266, 273, 264, 3587, 692, 277, 2608, 630, 272, 270, 273, 264, 2608, 630, 272, 266, 273, 2020, 305, 792, 9792, 519, 476, 274, 2474, 782, 596, 899, 267, 543, 596, 1205, 476, 280, 692, 1556, 269, 12693, 9721, 268, 4517, 6261, 9613, 8253, 16124, 594, 6993, 10422, 780, 16274, 912, 19878, 476, 278, 267, 476, 1220, 279, 454, 300, 612, 1137, 912, 1240, 267, 277, 2537, 454, 277, 936, 476, 273, 263, 272, 266, 273, 264, 815, 476, 277, 936, 476, 273, 263, 274, 264, 815, 476, 277, 936, 476, 277, 815, 476, 272, 692, 1321, 269, 12693, 910, 293, 4141, 24552, 538, 24324, 630, 18484, 1405, 264, 2339, 780, 16274, 912, 11321, 476, 3066, 267, 476, 1220, 278, 454, 300, 612, 1137, 912, 279, 267, 29257, 454, 7312, 7778, 568, 11234, 269, 898, 1131, 581, 692, 277, 936, 476, 273, 263, 272, 936, 476, 272, 1341, 476, 273, 936, 476, 272, 264, 815, 476, 277, 936, 476, 273, 263, 274, 936, 476, 272, 264, 815, 476, 1240, 936, 476, 273, 815, 476, 280, 692, 1724, 269, 12693, 1744, 4176, 318, 305, 599, 638, 18054, 313, 320, 674, 944, 26926, 483, 26827, 692, 16274, 912, 15037, 476, 2767, 267, 476, 1220, 278, 454, 300, 612, 1137, 912, 2412, 267, 279, 3583, 454, 296, 16194, 268, 4517, 6261, 9613, 11540, 912, 277, 936, 476, 273, 263, 272, 266, 273, 264, 815, 476, 277, 936, 476, 273, 263, 274, 264, 815, 476, 277, 936, 476, 277, 815, 476, 272, 1496, 15590, 6012, 270, 23026, 638, 1774, 2639, 17472, 692, 1691, 269, 12693, 3983, 4777, 2758, 5591, 7043, 518, 513, 3143, 984, 692, 16274, 912, 22261, 476, 2641, 267, 476, 1220, 280, 454, 300, 612, 1137, 912, 6078, 267, 4037, 275, 454, 323, 573, 596, 6749, 856, 540, 1647, 1153, 2496, 277, 270, 273, 263, 272, 266, 273, 994, 277, 270, 273, 263, 274, 994, 274, 263, 274, 994, 284, 280, 692, 1492, 2338, 538, 24324, 979, 1101, 269, 1287, 519, 1840, 3830, 547, 519, 2451, 269, 543, 1287, 596, 9062, 519, 1079, 2164, 1927, 269, 621, 781, 711, 15177, 2257, 692, 1428, 269, 12693, 4307, 558, 275, 5158, 1839, 10673, 1405, 1413, 693, 713, 692, 16274, 912, 9802, 476, 1704, 267, 476, 1220, 280, 454, 300, 612, 1137, 912, 7761, 267, 278, 4391, 454, 19613, 912, 305, 777, 10794, 715, 539, 853, 1046, 454, 528, 596, 1100, 10849, 596, 666, 798, 692, 263, 277, 270, 273, 264, 2608, 630, 272, 266, 273, 2020, 1626, 269, 12693, 3541, 4148, 582, 337, 29909, 3502, 513, 3143, 984, 692, 16274, 912, 12914, 476, 1839, 267, 476, 1220, 274, 454, 300, 612, 1137, 912, 275, 267, 9818, 454, 3086, 594, 6415, 513, 1906, 1296, 6569, 689, 18375, 267, 855, 594, 3576, 1169, 4359, 2979, 1362, 2139, 538, 1250, 8664, 543, 711, 2899, 1705, 594, 2479, 1294, 476, 272, 266, 273, 538, 2878, 1262, 532, 24324, 269, 2878, 1262, 782, 540, 891, 16060, 543, 2878, 1262, 16764, 945, 14659, 621, 781, 865, 2759, 543, 2878, 1262, 532, 12015, 2901, 2878, 1262, 532, 1259, 269, 1744, 583, 519, 2878, 1262, 909, 780, 16274, 912, 19878, 476, 1626, 267, 476, 1220, 277, 454, 300, 612, 1137, 912, 2420, 267, 279, 4817, 692, 1240, 269, 12693, 966, 2033, 330, 318, 2918, 5591, 984, 692, 16274, 912, 20225, 476, 2420, 267, 476, 1220, 280, 454, 300, 612, 1137, 912, 274, 267, 25628, 454, 331, 565, 9631, 326, 561, 944, 952, 1775, 941, 596, 1775, 1131, 2760, 2022, 1586, 780, 866, 269, 12693, 910, 293, 4141, 24552, 538, 24324, 630, 18484, 1405, 264, 2339, 780, 16274, 912, 11321, 476, 3066, 267, 476, 1220, 278, 454, 300, 612, 1137, 912, 279, 267, 29257, 454, 6546, 781, 519, 1966, 1004, 616, 2348, 269, 1358, 616, 14921, 519, 19362, 476, 274, 676, 519, 14009, 476, 273, 269, 1677, 1732, 2491, 713, 596, 1058, 2328, 519, 3830, 856, 899, 713, 780, 263, 277, 270, 273, 31618, 272, 270, 272, 266, 273, 270, 272, 2020, 16274, 912, 14257, 476, 1839, 267, 476, 1001, 272, 454, 300, 612, 1137, 912, 21172, 692, 2641, 269, 12693, 562, 3089, 325, 534, 4391, 268, 1724, 268, 280, 692, 16274, 912, 13971, 476, 1015, 267, 476, 1220, 276, 454, 300, 612, 1137, 912, 1724, 267, 3393, 276, 454, 19613, 912, 309, 24860, 7460, 454, 1692, 827, 1004, 1954, 752, 514, 2322, 23049, 1472, 4238, 789, 1616, 6192, 1101, 286, 901, 814, 4986, 547, 798, 609, 2436, 610, 711, 1004, 666, 798, 4569, 269, 901, 814, 811, 547, 798, 609, 519, 2243, 1373, 10169, 24813, 780, 10214, 952, 621, 781, 711, 267, 875, 1954, 752, 514, 2182, 568, 621, 547, 1039, 1079, 811, 3197, 538, 519, 3830, 547, 1118, 621, 20501, 585, 3025, 2496, 2420, 269, 12693, 910, 293, 2001, 3953, 1320, 344, 1985, 535, 4141, 568, 538, 519, 15798, 728, 13946, 13718, 16274, 912, 15037, 476, 275, 267, 476, 1220, 280, 454, 300, 612, 1137, 912, 274, 267, 11260, 454, 328, 1810, 1405, 917, 1946, 267, 855, 594, 561, 565, 9364, 692, 277, 270, 273, 263, 272, 266, 273, 994, 284, 476, 277, 270, 273, 263, 274, 994, 284, 274, 263, 274, 994, 284, 280, 692, 17850, 267, 596, 1223, 798, 621, 713, 1259, 1384, 277, 270, 273, 263, 272, 266, 273, 994, 284, 277, 270, 273, 263, 274, 270, 272, 994, 284, 1240, 270, 273, 454, 284, 476, 280, 270, 272, 630, 528, 1175, 476, 280, 2020, 2537, 269, 12693, 9721, 268, 4517, 6261, 9613, 8253, 16124, 594, 6993, 10422, 780, 16274, 912, 19878, 476, 278, 267, 476, 1220, 279, 454, 300, 612, 1137, 912, 1240, 267, 277, 2537, 454, 5591, 269, 898, 781, 3388, 1354, 519, 1315, 5258, 676, 3388, 1310, 269, 4475, 267, 519, 1259, 594, 4312, 9788, 621, 856, 568, 2953, 269, 634, 2626, 1131, 581, 476, 280, 952, 621, 729, 630, 277, 5258, 676, 476, 273, 7565, 272, 266, 273, 1040, 1809, 2094, 621, 781, 476, 277, 5258, 676, 476, 273, 263, 272, 266, 273, 1070, 596, 1039, 519, 476, 272, 543, 519, 476, 273, 267, 1287, 9062, 676, 476, 273, 2094, 621, 781, 4448, 547, 519, 31455, 780, 16274, 912, 13356, 476, 1321, 267, 476, 1220, 280, 454, 300, 612, 1137, 912, 3066, 267, 4817, 274, 692, 1839, 269, 12693, 12048, 7749, 326, 15330, 2918, 295, 1446, 344, 22365, 28496, 781, 1948, 272, 674, 3198, 692, 16274, 912, 11321, 476, 273, 267, 476, 1220, 275, 454, 300, 612, 1137, 912, 2918, 267, 278, 6078, 454, 628, 1846, 2965, 476, 277, 936, 476, 273, 2053, 630, 272, 266, 273, 264, 512, 731, 692, 2918, 269, 12693, 634, 318, 306, 527, 6672, 2537, 5591, 7043, 518, 513, 3143, 984, 692, 16274, 912, 9802, 476, 1240, 267, 476, 1001, 271, 454, 300, 612, 1137, 912, 276, 267, 30420, 454, 2791, 723, 547, 1205, 7759, 540, 519, 23049, 1101, 780, 2767, 269, 12693, 11023, 1233, 1014, 28319, 1828, 29909, 3502, 513, 3143, 984, 692, 16274, 912, 13971, 476, 1789, 267, 476, 1001, 271, 454, 300, 612, 1137, 912, 274, 267, 280, 7830, 454, 10674, 2517, 4178, 9884, 6504, 1090, 10401, 2593, 270, 6358, 270, 286, 328, 284, 277, 260, 273, 293, 273, 260, 27005, 260, 273, 289, 273, 260, 3066, 692, 2764, 269, 12693, 13793, 1478, 10734, 1195, 1432, 993, 594, 1869, 3257, 1934, 2496 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2451, 519, 20448, 540, 8315, 538, 5239, 476, 1001, 277, 1739, 9880, 540, 519, 4341, 540, 1876, 543, 1480, 2924, 6042, 676, 519, 1476, 539, 3130, 540, 2829, 563, 1103, 476, 1001, 276, 267, 22985, 7112, 781, 24288, 267, 715, 553, 515, 539, 267, 729, 30992, 547, 476, 1724, 1296, 538, 7890, 585, 834, 614, 2928, 1143, 257, 855, 7283, 538, 24815, 538, 519, 5177, 1310, 513, 7552, 547, 5507, 585, 2564, 2126, 269, 769, 2038, 5988, 476, 1001, 279, 267, 962, 877, 523, 10294, 513, 1533, 540, 6595, 543, 18486, 1010, 3368, 1532, 549, 750, 267, 476, 3199, 4458, 6040, 608, 6261, 637, 1211, 22985, 7112, 267, 1010, 5067, 2987, 25237, 543, 1079, 16488, 269, 634, 6433, 729, 15427, 676, 513, 5480, 15194, 602, 4847, 12964, 631, 11679, 945, 1185, 15468, 2476, 689, 519, 15194, 5428, 547, 2132, 547, 14618, 269, 962, 877, 523, 1131, 723, 4503, 519, 5354, 538, 14618, 267, 855, 646, 31439, 547, 2936, 519, 5480, 3664, 563, 4002, 5239, 476, 2764, 267, 476, 1220, 279, 267, 519, 6963, 518, 15011, 3139, 715, 553, 515, 539, 729, 11221, 519, 1101, 24339, 5597, 11307, 574, 1242, 7022, 269, 5019, 3949, 13264, 856, 538, 2038, 476, 1001, 273, 936, 519, 10654, 540, 519, 12751, 10456, 540, 519, 22518, 7040, 267, 19869, 1638, 320, 15011, 3139, 2073, 543, 519, 10966, 7040, 1572, 585, 1864, 547, 581, 5950, 689, 4108, 26692, 269, 634, 9794, 729, 9901, 609, 13817, 2265, 543, 3768, 826, 4776, 22460, 2126, 540, 11685, 8387, 1310, 19280, 519, 5305, 540, 513, 2229, 10404, 269, 2201, 5988, 476, 277, 267, 476, 1001, 273, 267, 972, 729, 606, 13986, 19420, 1996, 519, 7022, 269, 17318, 4573, 710, 619, 543, 3087, 2209, 1185, 13026, 519, 1533, 5925, 269, 715, 553, 515, 539, 1287, 9307, 1010, 29997, 566, 538, 513, 751, 4582, 2213, 2232, 269, 4340, 547, 513, 2229, 22557, 2006, 267, 1010, 1244, 14280, 786, 581, 15011, 25428, 20613, 515, 539, 670, 817, 656, 18556, 3320, 1491, 936, 519, 4013, 1870, 269, 30814, 12836, 941, 16516, 585, 5181, 476, 1001, 274, 2687, 547, 519, 5689, 15965, 1014, 11156, 269, 6736, 1344, 547, 519, 14669, 267, 519, 9550, 729, 10294, 6551, 3022, 269, 634, 12836, 267, 799, 941, 759, 3481, 27968, 585, 5239, 476, 736, 267, 476, 1001, 274, 267, 941, 15286, 676, 519, 7128, 593, 519, 1554, 540, 519, 9550, 269, 634, 20359, 9550, 729, 14578, 27185, 19861, 269, 7053, 267, 513, 1007, 9550, 3576, 1747, 593, 5437, 476, 280, 267, 476, 1001, 274, 269, 2201, 5437, 476, 1626, 267, 476, 1001, 274, 267, 19869, 1638, 320, 962, 877, 523, 729, 10294, 7022, 1310, 519, 16018, 941, 18886, 563, 13528, 518, 5518, 8575, 636, 3019, 19869, 592, 22985, 7112, 630, 3192, 279, 1700, 1220, 279, 264, 543, 3105, 5518, 15011, 3139, 715, 553, 515, 539, 267, 945, 1185, 19679, 883, 24815, 267, 4646, 606, 19710, 538, 476, 1001, 278, 547, 2196, 1996, 19869, 1638, 320, 962, 877, 523, 538, 519, 1985, 12836, 267, 538, 799, 789, 723, 1434, 16548, 540, 1967, 269, 634, 10966, 7040, 849, 12199, 602, 1896, 631, 11679, 945, 1185, 15468, 856, 540, 3870, 693, 962, 877, 523, 1590, 581, 5368, 26061, 269, 962, 877, 523, 16053, 519, 1931, 267, 10294, 513, 1533, 540, 6595, 593, 5988, 476, 276, 267, 476, 1001, 279, 543, 1185, 22985, 7112, 18486, 269, 634, 11685, 5828, 547, 3127, 547, 11177, 1931, 269, 962, 877, 523, 267, 593, 519, 824, 1688, 267, 568, 2808, 513, 1870, 7649, 540, 519, 4658, 781, 6243, 540, 3624, 4586, 1103, 5130, 476, 1960, 279, 513, 1007, 11156, 3357, 883, 3196, 269, 634, 1106, 540, 2229, 7283, 519, 16232, 14081, 269, 634, 7022, 543, 2212, 540, 2229, 723, 19957, 1379, 936, 519, 10324, 1547, 1261, 568, 11221, 585, 2947, 1296, 676, 513, 27033, 600, 1968, 14618, 267, 519, 20727, 18442, 1547, 634, 20727, 18442, 5161, 540, 476, 2004, 2818, 267, 476, 5655, 540, 7247, 616, 11221, 543, 5216, 616, 12912, 676, 519, 5518, 269, 2991, 519, 9550, 267, 519, 7022, 814, 547, 3068, 513, 22275, 31558, 563, 763, 5689, 323, 1161, 568, 513, 16232, 14081, 609, 9645, 3310, 689, 519, 7022, 281, 646, 568, 519, 2212, 540, 2229, 543, 8878, 14012, 282, 2394, 476, 1220, 277, 646, 729, 849, 3743, 585, 519, 3844, 4871, 543, 18083, 269, 1261, 5012, 519, 7128, 267, 7952, 267, 5032, 9856, 267, 3595, 8257, 543, 4140, 26547, 269, 589, 9668, 540, 7060, 1281, 711, 2291, 269, 634, 16232, 12836, 1491, 1747, 1169, 2947, 1296, 282, 519, 1004, 1528, 835, 540, 519, 1079, 10457, 9930, 3990, 676, 14618, 585, 7022, 609, 513, 2241, 5354, 269, 634, 1699, 1651, 3518, 550, 568, 594, 3630, 29538, 15011, 3139, 3752, 8811, 267, 945, 729, 11221, 593, 5181, 476, 2537, 267, 476, 1001, 279, 563, 300, 2129, 3139, 715, 553, 515, 539, 814, 1044, 2212, 540, 1533, 2094, 519, 1007, 12836, 538, 5239, 476, 1220, 279, 543, 519, 22576, 540, 519, 3105, 1651, 3518, 550, 8575, 636, 3019, 19869, 592, 22985, 7112, 593, 5437, 476, 1015, 267, 476, 1220, 279, 269, 22985, 7112, 729, 7022, 2094, 476, 3192, 279, 267, 1818, 621, 519, 13074, 1606, 6326, 2212, 540, 1533, 538, 5607, 269, 769, 1010, 3670, 4619, 16124, 16232, 12836, 267, 646, 729, 3006, 519, 1152, 11134, 585, 5604, 267, 543, 538, 476, 1220, 278, 267, 1510, 17874, 1010, 667, 14641, 5428, 267, 646, 3957, 5128, 513, 16232, 11134, 585, 519, 14232, 12836, 269, 4813, 518, 5518, 8575, 636, 3019, 19869, 592, 22985, 7112, 568, 849, 3238, 538, 16314, 759, 2176, 563, 1103, 519, 5689, 323, 1161, 267, 606, 11685, 602, 814, 1044, 15868, 2094, 476, 1960, 279, 814, 632, 1249, 334, 1152, 11478, 2094, 476, 1220, 276, 563, 1103, 4873, 476, 1220, 276, 519, 2818, 540, 519, 20727, 18442, 20366, 796, 29434, 3585, 538, 3870, 540, 513, 5163, 602, 1131, 5512, 519, 10661, 540, 513, 3818, 18407, 1062, 563, 7712, 1287, 267, 5518, 22985, 7112, 814, 7109, 730, 2947, 6105, 2433, 1010, 1378, 267, 782, 26730, 3215, 667, 14641, 267, 519, 9099, 6673, 267, 519, 1507, 6105, 9049, 7894, 543, 594, 7894, 267, 543, 519, 11180, 631, 7894, 630, 5689, 15965, 1014, 14891, 9549, 15426, 769, 1880, 267, 519, 2818, 540, 519, 631, 7894, 267, 1101, 543, 19466, 922, 5883, 8689, 693, 519, 942, 543, 15011, 3139, 715, 553, 515, 539, 267, 945, 729, 7022, 2394, 5988, 476, 1001, 273, 267, 941, 6534, 547, 9645, 1065, 1833, 543, 9993, 593, 741, 2797, 960, 563, 2414, 713, 1554, 267, 1152, 5771, 568, 7608, 607, 513, 4984, 538, 519, 5689, 323, 1161, 269, 2201, 4864, 476, 278, 267, 476, 1220, 279, 267, 5518, 15011, 25428, 19869, 592, 22985, 7112, 9783, 513, 1007, 11156, 799, 267, 538, 9137, 476, 280, 267, 24225, 546, 1070, 10238, 1080, 1875, 5336, 639, 3916, 4961, 689, 1373, 7608, 607, 1007, 4961, 269, 1717, 267, 713, 1281, 711, 4019, 547, 1004, 945, 941, 4535, 538, 519, 5689, 323, 1161, 543, 4171, 3237, 616, 2907, 4961, 267, 7488, 540, 741, 4984, 563, 293, 1495, 4442, 2924, 971, 607, 5191, 540, 4633, 543, 4082, 616, 11658, 282, 13458, 995, 3087, 2209, 616, 849, 18486, 538, 4434, 540, 543, 1282, 2797, 678, 718, 625, 269, 15213, 540, 4984, 568, 2769, 569, 16934, 563, 1103, 5147, 476, 1220, 274, 267, 2549, 333, 17965, 4139, 3370, 513, 1867, 593, 1480, 2924, 28407, 8149, 676, 5518, 22985, 7112, 781, 12512, 267, 934, 6748, 519, 8545, 540, 1210, 25711, 269, 5489, 664, 4315, 941, 29041, 543, 14736, 539, 543, 1185, 547, 22036, 1688, 322, 4428, 539, 585, 3108, 538, 519, 3141, 269, 1358, 1131, 581, 17792, 17864, 538, 5480, 563, 2467, 616, 1869, 3875, 2797, 14586, 538, 5689, 15965, 1014, 30813, 269, 634, 15769, 540, 519, 4830, 5769, 12139, 968, 306, 663, 3873, 534, 892, 723, 1044, 30992, 547, 1272, 26646, 585, 1164, 1726, 1783, 269, 1133, 342, 4372, 14761, 723, 1044, 19526, 2476, 267, 607, 723, 3909, 3401, 543, 5159, 269, 2311, 519, 1482, 942, 267, 519, 5449, 7022, 10736, 5449, 4108, 5656, 883, 30813, 910, 593, 10195, 2484, 2476, 689, 519, 17195, 20730, 540, 14666, 563, 763, 20448, 540, 8315, 12219, 15376, 20022, 538, 476, 1001, 277, 952, 519, 1480, 2924, 3510, 1705, 711, 2087, 269, 634, 5689, 323, 1161, 2229, 267, 5360, 8724, 827, 519, 15490, 2126, 543, 13779, 538, 922, 4835, 12602, 2073, 9307, 519, 15639, 563, 4002, 5988, 476, 276, 267, 476, 1001, 279, 267, 513, 1533, 540, 6595, 729, 10294, 676, 5518, 962, 877, 523, 269, 5518, 962, 877, 523, 15189, 547, 16783, 609, 519, 1931, 540, 519, 5689, 323, 1161, 10966, 7040, 10912, 585, 519, 5305, 540, 5216, 1033, 7134, 11685, 14761, 543, 513, 1427, 7434, 269, 769, 1840, 267, 519, 5480, 568, 14053, 519, 5368, 8063, 618, 540, 12964, 2818, 540, 14618, 563, 763, 5689, 323, 1161, 2817, 16470, 10414, 630, 300, 301, 5263, 264, 729, 4646, 689, 519, 2817, 8232, 6796, 630, 301, 7704, 264, 538, 476, 1220, 277, 1547, 898, 2882, 519, 13149, 17620, 2073, 519, 8232, 10466, 6828, 2073, 519, 17620, 540, 19296, 543, 513, 11076, 15050, 267, 799, 814, 1312, 4108, 543, 19742, 4247, 269, 634, 30400, 5263, 5794, 30733, 814, 476, 273, 670, 3201, 20144, 745, 341, 21484, 641, 1562, 24603, 676, 3127, 563, 763, 7022, 540, 519, 2197, 6585, 519, 18678, 4971, 269, 634, 22071, 540, 519, 30400, 5263, 568, 538, 645, 7701, 4673, 24230, 6062, 563, 9336, 6532, 1031, 585, 9235, 1590, 7500, 922, 1378, 3653, 1651, 514, 3130, 2030, 543, 922, 1378, 26869, 964, 531, 1588, 2371, 1547, 634, 5201, 2838, 585, 713, 568, 6383, 3592, 14311, 609, 17088, 18402, 269, 19045, 543, 5068, 3653, 689, 519, 3854, 5689, 2946, 543, 930, 7404, 10195, 616, 6394, 543, 546, 22981, 593, 519, 20203, 6532, 774, 559, 2378, 25775, 1547, 4107, 540, 519, 10195, 834, 4134, 2821, 540, 257, 741, 20203, 538, 519, 4262, 269, 1703, 568, 1100, 9744, 547, 26565, 540, 519, 1031, 3282, 689, 519, 3875, 16996, 610, 18402, 269, 634, 6299, 1076, 689, 15678, 5656, 849, 6140, 7475, 909, 538, 519, 4262, 563, 1103, 2259, 972, 568, 1175, 607, 2370, 2825, 4027, 538, 519, 5689, 323, 1161, 607, 972, 568, 2825, 4656, 269, 1703, 616, 4031, 585, 2825, 4027, 593, 1957, 267, 855, 10220, 609, 873, 568, 711, 16913, 543, 19374, 616, 711, 27052, 269, 1280, 1383, 267, 519, 3710, 5346, 1858, 540, 513, 18992, 1590, 711, 9765, 476, 736, 260, 540, 519, 6532, 781, 1858, 269, 634, 2259, 5654, 4625, 1114, 267, 799, 568, 2356, 5693, 7298, 547, 519, 21233, 593, 12625, 610, 22576, 269, 634, 2229, 1281, 711, 2638, 10220, 609, 519, 4070, 4566, 267, 6862, 616, 972, 1022, 24476, 585, 519, 8912, 13313, 269, 634, 2229, 568, 5461, 538, 607, 1082, 15805, 15135, 607, 2009, 269, 4107, 540, 519, 1007, 15678, 10195, 723, 1044, 3338, 5115, 539, 883, 519, 5551, 3337, 269, 901, 568, 2944, 998, 834, 323, 1042, 3101, 257, 543, 5070, 23028, 267, 799, 3123, 16854, 3441, 547, 519, 18625, 269, 17721, 29032, 585, 1367, 18992, 11800, 267, 585, 1383, 8575, 5446, 8270, 538, 519, 3162, 589, 686, 2311, 3326, 267, 616, 849, 6591, 676, 2679, 909, 519, 11818, 8122, 563, 2005, 568, 24193, 547, 6952, 16142, 538, 519, 9703, 540, 519, 693, 3326, 269, 1717, 267, 713, 568, 711, 16913, 267, 865, 602, 519, 2899, 5458, 16356, 2551, 540, 519, 5689, 323, 1161, 814, 20374, 267, 609, 519, 9868, 540, 513, 1906, 3788, 269, 1744, 10225, 616, 711, 13881, 267, 855, 9575, 585, 519, 13143, 540, 519, 27634, 547, 519, 10787, 5101, 543, 267, 1310, 519, 27634, 723, 1044, 2759, 630, 810, 10777, 968, 16356, 1710, 940, 9232, 1070, 16207, 1394, 883, 519, 4262, 267, 1141, 789, 829, 880, 538, 989, 3415, 269, 23207, 569, 621, 568, 1373, 1031, 593, 11818, 3165, 971, 607, 2699, 2879, 1952, 518, 543, 1423, 704, 325, 1639, 585, 519, 1158, 781, 17195, 6990, 269, 4595, 519, 3165, 616, 3020, 547, 741, 4087, 267, 741, 2551, 568, 13155, 269, 834, 301, 697, 10068, 2580, 799, 568, 2442, 593, 782, 15678, 10195, 267, 8309, 547, 519, 7771, 538, 3165, 13632, 269, 570, 4669, 956, 616, 849, 6870, 267, 855, 711, 519, 804, 8553, 267, 799, 1797, 602, 519, 5689, 323, 1161, 15991, 3132, 1022, 15556, 540, 16015, 563, 1103, 519, 3735, 476, 1960, 271, 338, 267, 519, 5689, 15965, 1014, 2229, 3964, 1804, 2127, 607, 513, 7286, 3084, 6288, 269, 3143, 1007, 15805 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 568, 30650, 599, 2963, 269, 670, 8986, 599, 2963, 568, 711, 2808, 607, 6325, 607, 1463, 610, 5926, 656, 658, 2963, 267, 1317, 519, 7198, 568, 711, 2139, 547, 581, 20402, 269, 1703, 616, 513, 1906, 2665, 1141, 30650, 599, 949, 581, 7608, 607, 2963, 269, 1280, 1383, 267, 950, 513, 1268, 11884, 8098, 1080, 741, 16203, 547, 1776, 1268, 267, 971, 607, 2576, 21334, 532, 547, 513, 6760, 538, 21569, 563, 291, 17805, 776, 15845, 901, 568, 1022, 2963, 602, 729, 2854, 267, 6592, 610, 6740, 269, 901, 2882, 281, 6054, 267, 31940, 267, 6486, 267, 11147, 267, 3280, 19827, 267, 8874, 267, 2756, 582, 16747, 267, 2780, 5638, 3092, 269, 20226, 786, 4983, 713, 1826, 540, 2963, 547, 1118, 2386, 602, 621, 568, 1483, 543, 540, 1434, 2298, 563, 16498, 15845, 901, 2882, 2168, 3615, 602, 616, 3254, 538, 5480, 543, 23405, 2944, 538, 5480, 269, 589, 7198, 2356, 12857, 513, 2168, 1843, 543, 6941, 1141, 519, 1843, 729, 1336, 267, 875, 621, 729, 1336, 267, 543, 1141, 621, 814, 1044, 6854, 2094, 621, 729, 1336, 563, 9199, 576, 15845, 6884, 2168, 2963, 568, 1360, 1507, 610, 1256, 15865, 547, 519, 2150, 11712, 3750, 269, 901, 1826, 540, 2963, 568, 1572, 10250, 2963, 269, 898, 2882, 1919, 899, 9416, 21646, 610, 29066, 538, 543, 1472, 519, 1858, 1141, 513, 6760, 3576, 1747, 269, 898, 1223, 849, 1331, 1360, 1507, 2168, 3615, 899, 513, 4552, 610, 6775, 689, 513, 4062, 540, 7802, 269, 901, 1826, 540, 2963, 1590, 581, 6394, 610, 13227, 1117, 676, 4966, 563, 1432, 666, 594, 798, 547, 1118, 2386, 519, 6760, 6429, 568, 6870, 286, 1403, 596, 616, 519, 1101, 835, 693, 513, 6429, 540, 513, 6760, 267, 596, 949, 581, 1572, 547, 2285, 2963, 538, 5480, 827, 1018, 596, 4718, 950, 596, 1101, 8452, 269, 2755, 596, 616, 7996, 585, 519, 7128, 1205, 2564, 3007, 585, 4896, 945, 2115, 621, 269, 1491, 4967, 540, 4376, 596, 1294, 267, 5873, 610, 9329, 269, 5269, 2386, 596, 2594, 519, 942, 269, 2721, 12222, 547, 1118, 707, 4967, 20501, 269, 2328, 1524, 519, 4408, 543, 9607, 540, 1022, 22168, 267, 543, 1022, 1344, 789, 2285, 596, 269, 9105, 873, 547, 3251, 693, 519, 6429, 2394, 519, 7128, 12446, 563, 1432, 666, 594, 798, 547, 1118, 2386, 519, 6760, 6429, 568, 6870, 286, 1331, 513, 6609, 540, 4896, 19035, 602, 596, 1294, 2282, 519, 6760, 6429, 269, 1118, 2386, 1100, 835, 13788, 519, 6429, 547, 3441, 610, 4894, 2963, 269, 1411, 1223, 1305, 909, 513, 11064, 609, 11746, 610, 4376, 3116, 2139, 267, 610, 1832, 513, 7450, 6806, 269, 2149, 10250, 2963, 971, 607, 29066, 267, 12483, 16493, 267, 16906, 20839, 338, 267, 3092, 269, 26603, 677, 782, 17101, 1004, 267, 971, 607, 3595, 610, 5605, 592, 766, 10986, 267, 547, 519, 6429, 269, 2328, 1524, 519, 3877, 540, 1022, 2242, 602, 941, 1500, 547, 519, 3312, 6429, 563, 1432, 666, 594, 798, 547, 1118, 2386, 519, 6760, 6429, 568, 6870, 286, 1879, 519, 7128, 12446, 1118, 2386, 596, 917, 945, 568, 538, 5279, 267, 543, 2490, 519, 5539, 585, 519, 6429, 936, 547, 602, 1268, 269, 901, 568, 1271, 1317, 519, 5480, 786, 991, 6169, 602, 972, 729, 1100, 2736, 538, 519, 5832, 540, 1004, 538, 5279, 540, 1368, 8973, 519, 2963, 269, 2347, 707, 4967, 269, 3417, 519, 2012, 540, 519, 1268, 538, 5279, 543, 519, 942, 950, 789, 3576, 1852, 540, 519, 6429, 269, 948, 519, 7128, 607, 2877, 267, 1287, 2132, 547, 707, 3339, 11645, 563, 1432, 1058, 594, 798, 952, 594, 723, 547, 1449, 1518, 538, 5480, 286, 901, 3561, 568, 1572, 513, 1016, 17763, 6511, 267, 543, 621, 786, 2995, 596, 4010, 950, 596, 1590, 581, 1459, 538, 5480, 547, 1449, 1518, 269, 901, 3561, 568, 606, 1931, 267, 711, 513, 7662, 269, 4634, 952, 596, 1689, 6009, 267, 519, 1016, 17763, 6511, 568, 1869, 538, 3196, 269, 1403, 596, 3111, 547, 2408, 267, 596, 1223, 3068, 733, 3319, 540, 5480, 10997, 269, 898, 568, 1271, 585, 596, 547, 1459, 513, 3318, 3239, 543, 547, 18609, 519, 5480, 602, 519, 2963, 602, 596, 616, 4758, 568, 6325, 269, 3371, 616, 930, 1919, 596, 666, 798, 547, 5965, 912, 27609, 532, 585, 7040, 28392, 2689, 782, 540, 707, 4967, 269, 2142, 2386, 540, 519, 942, 540, 1554, 267, 4266, 267, 543, 4087, 1141, 519, 10071, 3576, 1747, 269, 3619, 936, 519, 1931, 538, 799, 519, 2621, 5949, 267, 543, 2119, 547, 3314, 3169, 3877, 267, 971, 607, 4365, 2175, 267, 6132, 775, 2338, 267, 8654, 3092, 269, 28423, 547, 519, 22477, 827, 1018, 789, 1616, 547, 3142, 856, 538, 707, 21981, 543, 1018, 5686, 540, 2055, 519, 4347, 775, 15818, 949, 2307, 596, 269, 5269, 2386, 707, 7833, 568, 2973, 543, 4401, 539, 543, 602, 596, 616, 1134, 19081, 539, 269, 8347, 547, 12446, 2038, 538, 2013, 519, 1160, 5913, 12460, 814, 2055, 547, 2307, 596, 1354, 596, 1449, 1518, 269, 901, 786, 849, 2285, 596, 942, 547, 6001, 1354, 596, 616, 1572, 547, 519, 7198, 1796, 269, 1403, 596, 666, 1406, 12446, 2038, 267, 1118, 2386, 596, 12446, 593, 942, 563, 14818, 4328, 538, 7040, 5776, 610, 1694, 909, 2786, 269, 1684, 711, 1793, 13224, 610, 10709, 593, 519, 2427, 540, 519, 7198, 4216, 269, 6733, 693, 519, 17864, 950, 789, 2243, 596, 267, 543, 1463, 707, 4267, 547, 519, 9794, 610, 21139, 269, 28423, 10978, 569, 2614, 585, 3025, 547, 5873, 596, 543, 7444, 2614, 585, 519, 9794, 547, 1491, 4967, 269, 1684, 711, 2626, 811, 982, 519, 2243, 4280, 269, 634, 2626, 547, 968, 2691, 596, 18486, 1864, 267, 1705, 646, 2161, 4376, 9495, 568, 968, 8133, 2223, 711, 968, 8133, 267, 646, 1767, 646, 4769, 1406, 798, 621, 3034, 14818, 4328, 630, 11666, 4240, 264, 12315, 519, 5013, 267, 711, 707, 6644, 269, 1684, 711, 2161, 267, 968, 3891, 729, 3168, 1472, 547, 1294, 952, 4896, 729, 8384, 1864, 1848, 1411, 1223, 2161, 267, 968, 3891, 6743, 1472, 1419, 1848, 1403, 513, 2243, 7125, 585, 707, 6644, 267, 585, 1383, 267, 968, 24078, 1352, 896, 519, 3310, 540, 5061, 9495, 2161, 602, 596, 786, 723, 547, 2285, 606, 6644, 543, 2307, 952, 602, 568, 1018, 568, 4941, 269, 1403, 2901, 15818, 3615, 547, 513, 2243, 267, 3247, 269, 1684, 711, 2626, 2394, 519, 5480, 3652, 593, 519, 1843, 542, 269, 1403, 596, 1589, 513, 2243, 568, 1932, 2123, 267, 596, 949, 2307, 519, 9794, 952, 596, 1590, 2626, 621, 269, 28582, 547, 519, 9794, 607, 968, 7312, 12968, 712, 3034, 14818, 4328, 630, 11666, 4240, 264, 1403, 596, 798, 711, 917, 519, 2626, 547, 513, 2243, 267, 2161, 865, 538, 513, 1463, 1259, 269, 3680, 2453, 899, 968, 296, 7058, 892, 543, 968, 296, 1589, 1848, 3367, 689, 707, 4967, 1152, 952, 2556, 543, 952, 4847, 676, 519, 9794, 269, 2659, 21981, 1058, 581, 689, 707, 3965, 543, 596, 1058, 3277, 547, 707, 4967, 1152, 585, 1360, 1808, 3877, 267, 971, 607, 2576, 779, 3169, 1913, 269, 2422, 513, 30251, 267, 10257, 3159, 269, 1403, 596, 2161, 267, 968, 3891, 1185, 930, 7131, 338, 602, 646, 29709, 547, 2628, 585, 2223, 707, 3159, 568, 26878, 2880, 267, 543, 707, 21981, 949, 711, 581, 3144, 12517, 269, 898, 568, 711, 513, 6760, 547, 7340, 547, 2628, 585, 1945, 269, 8058, 3160, 2463, 585, 1312, 519, 1160, 5913, 12460, 543, 4347, 775, 17864, 269, 898, 568, 519, 4347, 775, 15818, 779, 2816, 547, 2243, 707, 10727, 269, 5213, 1406, 1491, 621, 13948, 269, 1403, 596, 1745, 3054, 3478, 14220, 267, 1832, 513, 9243, 4082, 593, 707, 3068, 269, 966, 274, 0, 1607, 4015, 786, 948, 1004, 693, 782, 2157, 1174, 519, 4909, 6436, 543, 2853, 540, 2500, 3375, 1818, 865, 602, 789, 666, 1118, 1732, 3664, 538, 741, 2123, 543, 3318, 2729, 269, 15080, 1331, 281, 634, 13229, 17423, 676, 8834, 674, 269, 667, 745, 14982, 282, 4634, 4210, 2355, 281, 589, 21929, 6396, 585, 10435, 11780, 32187, 676, 3627, 590, 269, 30623, 1180, 267, 25453, 700, 563, 6637, 476, 276, 910, 15440, 658, 3375, 1818, 269, 634, 1292, 9115, 540, 713, 3184, 1331, 782, 540, 519, 1739, 281, 7186, 540, 31707, 3375, 1818, 267, 9946, 607, 3375, 15670, 267, 2500, 3375, 1818, 267, 7496, 547, 2500, 3375, 1818, 267, 1895, 3375, 1818, 267, 5876, 538, 3375, 1818, 563, 1607, 1433, 7575, 547, 519, 1985, 3942, 267, 547, 1445, 593, 519, 1004, 7308, 1702, 4600, 2933, 269, 3502, 539, 4274, 20913, 15261, 580, 13754, 3278, 2487, 1382, 4681, 538, 5042, 2257, 543, 1644, 4610, 547, 4766, 875, 1004, 2965, 960, 269, 1261, 6212, 593, 875, 1004, 1451, 267, 3314, 267, 1118, 3664, 267, 4194, 2042, 543, 957, 2987, 2489, 267, 875, 1702, 12211, 547, 960, 2623, 269, 1635, 1620, 875, 1004, 960, 267, 9946, 666, 2087, 7145, 547, 2744, 8013, 5413, 563, 27287, 3206, 568, 519, 1148, 540, 9870, 1018, 568, 32436, 538, 938, 7744, 547, 519, 1377, 540, 598, 8894, 338, 4109, 6284, 269, 898, 568, 519, 1148, 540, 2921, 1852, 540, 938, 3206, 3157, 865, 607, 547, 1174, 454, 1492, 13374, 543, 11378, 602, 938, 3206, 18271, 563, 27287, 17024, 1174, 519, 11707, 540, 7744, 630, 628, 9722, 1040, 1358, 946, 713, 1174, 8894, 532, 547, 4383, 519, 17499, 7506, 602, 3565, 547, 741, 3375, 6194, 3157, 563, 296, 723, 2141, 4941, 547, 2328, 513, 1433, 602, 1131, 581, 1114, 689, 1169, 454, 1278, 1433, 593, 519, 2344, 269, 1703, 616, 1100, 2596, 2724, 2359, 2835, 454, 7474, 1683, 519, 2645, 543, 2200, 547, 3313, 543, 22945, 4267, 547, 454, 26051, 2883, 3871, 543, 1034, 1004, 779, 10296, 2883, 2042, 563, 2467, 616, 9118, 2123, 8804, 2835, 593, 519, 2344, 267, 855, 1082, 454, 4777, 711, 2232, 875, 547, 22945, 519, 25727, 540, 1142, 3510, 547, 1118, 519, 454, 20657, 2888, 602, 786, 948, 596, 3035, 707, 2883, 6859, 543, 12492, 2883, 454, 299, 9722, 19884, 13188, 267, 589, 3495, 11703, 17423, 7869, 543, 4937, 4982, 10329, 7869, 901, 3184, 814, 1031, 519, 570, 773, 321, 719, 3903, 605, 806, 560, 515, 3903, 540, 1153, 454, 30726, 2524, 3842, 8027, 3664, 553, 513, 7828, 998, 799, 547, 1353, 519, 4222, 540, 454, 8001, 531, 7375, 585, 2500, 3506, 3448, 547, 1346, 585, 824, 8378, 610, 1153, 454, 2467, 568, 606, 540, 339, 6709, 6838, 6031, 5156, 547, 723, 12090, 607, 513, 4457, 605, 14620, 281, 968, 9802, 454, 9767, 2661, 538, 4277, 2053, 6100, 898, 568, 1419, 711, 14648, 609, 513, 2318, 25664, 566, 2336, 4263, 1459, 267, 621, 1131, 581, 4023, 547, 2161, 602, 519, 4095, 8994, 2508, 2872, 568, 2713, 538, 454, 15517, 532, 2053, 269, 898, 3788, 547, 581, 2938, 875, 9797, 602, 666, 581, 14648, 563, 763, 2063, 1906, 1296, 723, 2938, 513, 3126, 540, 2621, 267, 1312, 1369, 543, 3544, 519, 4095, 454, 324, 1595, 344, 267, 799, 723, 1185, 513, 18111, 614, 1190, 1198, 593, 519, 2872, 269, 634, 1158, 607, 649, 6785, 621, 454, 13757, 4957, 538, 1082, 2081, 19601, 763, 4336, 540, 519, 4161, 649, 3068, 538, 5883, 891, 4220, 949, 581, 18447, 267, 855, 713, 1867, 1797, 602, 519, 454, 5319, 1444, 10837, 543, 519, 14540, 543, 1004, 649, 960, 609, 666, 2743, 621, 811, 3927, 269, 1284, 1590, 849, 454, 24708, 2386, 649, 1628, 513, 1732, 2078, 1063, 1346, 693, 1981, 543, 1346, 945, 4383, 713, 1981, 269, 13518, 811, 666, 454, 2041, 6913, 676, 8744, 782, 519, 5461, 6105, 1927, 998, 519, 5113, 10837, 779, 7580, 7650, 454, 1993, 782, 2959, 540, 14700, 609, 513, 3838, 1620, 540, 519, 4220, 563, 763, 19556, 7070, 4065, 8274, 630, 5960, 292, 289, 264, 540, 519, 2817, 454, 10932, 7027, 729, 3964, 538, 476, 2735, 276, 547, 1683, 3084, 5718, 454, 663, 5583, 585, 4507, 267, 3292, 267, 543, 2853, 5885, 519, 6454, 454, 1993, 6128, 2069, 693, 782, 2157, 269, 15099, 2326, 585, 9344, 454, 298, 268, 1321, 1404, 513, 3844, 1909, 538, 1018, 6128, 3584, 616, 6026, 538, 938, 454, 25217, 338, 267, 875, 519, 3584, 616, 3524, 10642, 543, 4843, 547, 1053, 267, 1018, 454, 548, 12069, 540, 1620, 616, 4397, 267, 1018, 1983, 1053, 786, 1020, 543, 454, 23463, 267, 663, 519, 8136, 631, 831, 1408, 16710, 630, 4456, 290, 264, 723, 1044, 6313, 799, 1949, 630, 18485, 1826, 543, 6712, 540, 519, 18239, 264, 1058, 581, 973, 777, 1388, 1242, 543, 10747, 1018, 602 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 6092, 5149, 281, 10960, 12660, 687, 538, 19565, 11470, 24380, 3179, 281, 634, 7736, 1005, 25491, 540, 27673, 8709, 717, 26710, 781, 12280, 692, 1103, 713, 1576, 1770, 267, 649, 786, 5490, 2620, 883, 519, 4241, 1158, 540, 3662, 15274, 1369, 11174, 5708, 1305, 538, 519, 1977, 4639, 1247, 3695, 513, 9159, 3069, 4478, 519, 12357, 2669, 540, 12021, 7376, 27673, 8709, 717, 26710, 269, 1284, 786, 2253, 676, 6313, 519, 4644, 540, 3662, 15274, 538, 7262, 3332, 1354, 11362, 883, 519, 5667, 9407, 2013, 540, 8709, 717, 26710, 781, 27757, 543, 875, 1978, 3344, 1921, 547, 1585, 9565, 5515, 2429, 1686, 269, 3414, 2565, 2079, 543, 4901, 267, 1053, 786, 2744, 513, 9488, 1620, 540, 891, 10562, 4798, 543, 741, 10083, 2221, 780, 296, 269, 19043, 540, 10960, 12660, 687, 538, 19565, 11470, 24380, 3179, 454, 288, 269, 8490, 27919, 543, 17583, 454, 272, 269, 12292, 7674, 607, 1476, 573, 1218, 543, 2828, 454, 273, 269, 15043, 3929, 4987, 998, 4205, 609, 2831, 454, 274, 269, 28304, 10779, 885, 1927, 630, 324, 3052, 1421, 2168, 2591, 267, 10072, 994, 289, 269, 14484, 532, 8836, 18880, 543, 8466, 12745, 454, 272, 269, 10020, 540, 2831, 538, 20281, 1272, 630, 1740, 267, 6283, 267, 3354, 994, 273, 269, 3493, 11881, 540, 6805, 9082, 262, 3347, 609, 2831, 454, 274, 269, 21744, 8456, 2509, 7320, 5726, 543, 5683, 2126, 454, 290, 269, 10289, 10886, 4886, 543, 12618, 454, 272, 269, 26306, 540, 3197, 1813, 547, 741, 6125, 609, 2831, 454, 273, 269, 16497, 4121, 689, 2831, 630, 331, 5819, 1399, 267, 10100, 267, 6043, 994, 274, 269, 4635, 2831, 607, 6698, 540, 6418, 4222, 610, 6456, 1761, 692, 2862, 269, 634, 1133, 637, 9407, 8865, 540, 27673, 8709, 717, 26710, 781, 12280, 281, 589, 12653, 1457, 25491, 888, 288, 269, 12465, 10055, 281, 2672, 8336, 610, 6452, 1211, 888, 272, 269, 19768, 540, 598, 5477, 2963, 5885, 11980, 454, 273, 269, 25334, 2225, 540, 23139, 1582, 19899, 997, 5406, 1282, 23069, 454, 274, 269, 5403, 21065, 748, 7242, 860, 1944, 540, 8709, 717, 26710, 781, 2790, 1072, 9620, 454, 289, 269, 1715, 21126, 281, 670, 5669, 728, 7869, 454, 272, 269, 5983, 14750, 2079, 11021, 28067, 1404, 454, 273, 269, 7763, 1161, 5473, 17403, 267, 20947, 267, 610, 3318, 31195, 454, 274, 269, 17291, 1761, 31268, 1851, 8709, 717, 26710, 781, 29872, 1734, 454, 290, 269, 16340, 518, 20480, 281, 3955, 13512, 1441, 2876, 1559, 543, 6181, 9313, 454, 272, 269, 22627, 1063, 7499, 5322, 543, 2797, 16374, 454, 273, 269, 8177, 540, 28910, 2528, 593, 1857, 8226, 540, 3140, 2621, 454, 274, 269, 19078, 9270, 950, 556, 24834, 15070, 3964, 6386, 692, 7656, 269, 16949, 540, 10960, 12660, 687, 883, 519, 27673, 8709, 717, 26710, 21931, 454, 288, 269, 4325, 1529, 894, 31950, 926, 657, 12833, 6295, 10960, 12660, 687, 454, 272, 269, 10466, 610, 6304, 676, 8709, 717, 26710, 781, 4620, 15529, 454, 273, 269, 29526, 540, 524, 4900, 607, 9631, 839, 610, 25330, 454, 274, 269, 3474, 4150, 3149, 1063, 1480, 12845, 2711, 7554, 543, 7376, 2173, 2224, 6384, 454, 289, 269, 7464, 21509, 6201, 540, 20551, 262, 17716, 609, 12292, 454, 272, 269, 2605, 5866, 918, 1695, 5979, 781, 10367, 10023, 1200, 11537, 5243, 454, 273, 269, 11908, 744, 262, 298, 2465, 11738, 781, 4276, 547, 2470, 543, 2199, 21426, 454, 274, 269, 12634, 5159, 6220, 2831, 883, 1514, 16555, 454, 290, 269, 18964, 11879, 15154, 543, 11300, 20309, 454, 272, 269, 22718, 14070, 6589, 1759, 593, 3140, 6436, 454, 273, 269, 13891, 908, 5837, 10848, 4478, 8709, 717, 26710, 781, 2669, 454, 274, 269, 27588, 4244, 6386, 10128, 3662, 15274, 692, 9961, 713, 1576, 1770, 267, 1053, 786, 2263, 519, 15491, 5107, 540, 3662, 15274, 1369, 11174, 5708, 1305, 538, 519, 1977, 4639, 1247, 2502, 609, 4207, 9840, 1472, 27673, 8709, 717, 26710, 781, 28430, 8429, 269, 1635, 9691, 7421, 1312, 5339, 11269, 543, 3140, 5638, 267, 6267, 786, 3986, 741, 8223, 540, 2686, 2418, 267, 1915, 1646, 267, 543, 6626, 6848, 6286, 7915, 538, 891, 10578, 4296, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21202, 22062, 566, 609, 5261, 28199, 454, 763, 3382, 540, 519, 5412, 476, 1001, 275, 11709, 640, 12876, 4016, 547, 519, 2669, 540, 27673, 8709, 717, 26710, 607, 968, 9209, 779, 4279, 652, 25491, 1848, 1215, 798, 596, 1745, 827, 602, 888, 11039, 267, 15069, 594, 3858, 609, 621, 269, 2311, 2547, 547, 519, 1448, 602, 621, 781, 1148, 781, 6574, 12638, 9814, 269, 769, 1249, 267, 621, 1522, 1256, 581, 811, 4977, 547, 909, 519, 2706, 331, 894, 513, 711, 577, 543, 1289, 621, 834, 20931, 781, 6574, 12638, 9814, 4799, 10303, 267, 607, 519, 2407, 32725, 540, 713, 9814, 1831, 1634, 4534, 607, 789, 616, 1175, 4098, 547, 581, 4534, 594, 3494, 596, 9364, 581, 2182, 20399, 547, 2097, 909, 609, 1776, 3140, 12835, 4171, 2669, 568, 865, 695, 709, 4765, 538, 4230, 15929, 7399, 269, 2107, 835, 602, 5267, 971, 606, 12473, 4336, 540, 5256, 14179, 775, 3297, 621, 269, 2107, 835, 602, 865, 3841, 4601, 10301, 2250, 922, 3844, 4137, 547, 7485, 883, 922, 5641, 540, 9601, 543, 5636, 1622, 971, 3309, 3140, 24788, 2456, 607, 31839, 12251, 631, 7867, 8681, 267, 3798, 537, 731, 2494, 564, 543, 4165, 13908, 3203, 7596, 269, 1677, 1250, 2247, 267, 621, 779, 519, 3140, 12638, 9814, 540, 782, 3140, 12638, 13655, 563, 1432, 827, 519, 7972, 540, 3057, 1176, 333, 3933, 19172, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 27154, 12660, 687, 257, 607, 851, 540, 834, 16300, 16337, 1315, 24380, 3179, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 7170, 281, 17644, 267, 12243, 1740, 543, 4518, 30581, 281, 589, 26626, 540, 5565, 21582, 1251, 619, 692, 25603, 5981, 543, 16092, 267, 1079, 32283, 619, 945, 960, 1927, 693, 513, 2199, 6725, 6109, 269, 1358, 1312, 1616, 547, 581, 3811, 693, 741, 6009, 267, 855, 789, 723, 1114, 4485, 950, 621, 2501, 547, 4259, 3853, 267, 2324, 609, 1866, 267, 543, 1373, 851, 540, 513, 2319, 269, 2913, 781, 4685, 883, 741, 2984, 547, 2263, 891, 2035, 2417, 2439, 14945, 1262, 9928, 2940, 476, 272, 281, 17553, 15382, 11286, 17644, 4373, 20694, 15211, 883, 960, 835, 1554, 4743, 16397, 676, 782, 519, 4247, 6619, 269, 4256, 20148, 814, 4280, 873, 547, 1491, 593, 811, 9021, 267, 799, 1797, 1256, 3476, 3108, 693, 519, 5604, 269, 1306, 789, 1694, 1524, 547, 1544, 856, 741, 3018, 267, 789, 3314, 1945, 2629, 910, 5100, 3804, 4259, 256, 3371, 781, 1018, 602, 5654, 899, 1384, 265, 2878, 306, 5093, 16930, 630, 1432, 4010, 798, 594, 1616, 547, 3035, 286, 994, 265, 2878, 300, 5093, 2725, 553, 9092, 630, 1692, 786, 594, 917, 952, 594, 4312, 16309, 286, 994, 265, 2878, 288, 5093, 2311, 1555, 762, 630, 4692, 594, 2965, 9585, 713, 4305, 2016, 1250, 2200, 543, 1983, 286, 994, 265, 2878, 305, 5093, 31999, 630, 9989, 713, 5447, 609, 1250, 2949, 6859, 543, 14422, 286, 994, 265, 2878, 307, 5093, 5384, 27995, 630, 2691, 798, 594, 991, 547, 9096, 713, 676, 286, 2020, 3528, 1210, 519, 15382, 11286, 5943, 267, 5981, 9397, 1524, 741, 11566, 1592, 540, 4247, 883, 19242, 267, 24276, 3853, 269, 901, 2337, 873, 3251, 5059, 267, 12592, 267, 543, 1447, 14129, 2429, 519, 3018, 780, 1320, 4454, 15331, 281, 6056, 827, 707, 1378, 3232, 13467, 543, 1279, 3856, 3785, 269, 1215, 666, 596, 4019, 519, 15382, 11286, 1062, 547, 1118, 873, 811, 6896, 543, 3608, 2496, 14945, 1262, 9928, 2940, 476, 273, 281, 21664, 543, 9442, 4373, 4263, 12899, 5503, 267, 5981, 10742, 909, 609, 16092, 267, 945, 4667, 21616, 269, 898, 7140, 856, 602, 16092, 729, 8655, 547, 1291, 513, 1007, 1788, 5473, 1896, 13623, 1369, 519, 2754, 269, 1717, 267, 972, 723, 1044, 930, 2792, 2152, 1063, 2319, 2818, 267, 3056, 547, 17799, 543, 21390, 269, 1677, 948, 16092, 267, 5981, 8843, 4388, 585, 2500, 5698, 1384, 272, 269, 19372, 2312, 5107, 543, 6788, 689, 519, 1376, 563, 273, 269, 11559, 1930, 543, 9237, 2792, 1851, 2319, 10863, 563, 274, 269, 21480, 2834, 11401, 610, 2638, 15564, 547, 1865, 3356, 563, 275, 269, 2142, 16614, 540, 824, 1004, 781, 942, 267, 8369, 267, 543, 7418, 563, 276, 269, 20644, 1489, 543, 19015, 8164, 2009, 780, 4415, 891, 2994, 538, 2247, 267, 16092, 556, 6716, 3278, 741, 1985, 5870, 543, 5036, 2666, 3652, 585, 1732, 5698, 269, 17652, 2614, 267, 519, 1788, 6238, 3001, 4464, 12347, 1586, 2439, 11328, 5562, 27100, 281, 23239, 754, 596, 2811, 3056, 513, 1895, 1788, 693, 1153, 269, 1548, 3268, 1131, 596, 1491, 547, 2327, 3025, 17358, 741, 1909, 267, 31825, 3927, 267, 543, 13978, 593, 3950, 2509, 8236, 519, 1455, 3804, 2496, 14945, 1262, 9928, 2940, 476, 274, 281, 8490, 16200, 4518, 30581, 4373, 24137, 4464, 513, 1906, 4374, 2663, 281, 5637, 5981, 543, 16092, 5469, 602, 1776, 26393, 267, 13177, 267, 9620, 547, 3514, 538, 609, 741, 9757, 6887, 269, 6736, 2348, 1390, 1367, 1983, 267, 13177, 1419, 804, 10449, 609, 1866, 1282, 5717, 543, 14543, 547, 3565, 25006, 547, 1895, 3646, 269, 7464, 1944, 602, 2679, 2178, 960, 6887, 3322, 5807, 2318, 14375, 3347, 267, 5981, 543, 16092, 6430, 547, 21927, 13177, 998, 930, 1898, 1514, 1983, 1384, 265, 15765, 6947, 454, 265, 27919, 454, 265, 2667, 1068, 4369, 454, 265, 4790, 10614, 5955, 454, 265, 18366, 6571, 692, 2026, 13177, 16137, 547, 2259, 891, 5759, 267, 789, 1831, 513, 12595, 4759, 540, 1312, 6887, 1107, 7700, 3860, 2093, 267, 5885, 9164, 267, 543, 4543, 2087, 2949, 2773, 780, 12244, 281, 14484, 593, 707, 1995, 10283, 538, 1895, 2238, 267, 2436, 693, 1153, 610, 11992, 269, 2052, 596, 2697, 8320, 1141, 6793, 14375, 1983, 1223, 723, 3366, 547, 4824, 2164, 286, 1403, 865, 267, 1018, 1808, 3527, 1522, 723, 1500, 513, 3017, 286, 0, 8620, 606, 2502, 543, 3015, 552, 19543, 9074, 593, 1412, 20329, 1108, 476, 273, 324, 3299, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 563, 2171, 616, 1603, 593, 3184, 1412, 26581, 7434, 268, 16391, 9318, 10017, 8339, 769, 1880, 267, 3296, 1412, 16391, 9318, 10017, 281, 634, 4317, 17435, 3290, 540, 4518, 8339, 1284, 723, 2907, 4988, 519, 1739, 1770, 538, 713, 3296, 281, 1412, 297, 984, 9045, 529, 8351, 8339, 1284, 723, 2907, 4988, 519, 1739, 4559, 538, 713, 3296, 281, 1412, 297, 984, 9045, 529, 8351, 3299, 1412, 13480, 1700, 23991, 18696, 8339, 1284, 723, 2907, 4988, 519, 1739, 4559, 538, 713, 3296, 281, 1412, 297, 984, 9045, 529, 8351, 3299, 1412, 13480, 1700, 23991, 18696, 3299, 1412, 10048, 1771, 543, 31044, 12856, 8339, 3503, 513, 1007, 1770, 11331, 1412, 7883, 1023, 267, 12243, 1740, 543, 4518, 30581, 262, 780, 21156, 540, 513, 2757, 1837, 1935, 267, 946, 513, 1650, 2861, 2239, 547, 2491, 519, 1523, 269, 8347, 547, 1384, 268, 3680, 2930, 3822, 543, 1459, 519, 2093, 538, 513, 3551, 267, 17187, 3159, 547, 8141, 7279, 543, 9305, 547, 519, 2833, 540, 513, 7820, 5304, 563, 268, 3417, 7317, 2609, 899, 2219, 6901, 543, 1483, 3734, 7653, 269, 634, 3804, 568, 547, 1888, 3839, 543, 1187, 267, 26354, 7279, 827, 875, 621, 10039, 547, 4948, 1272, 563, 268, 1684, 711, 946, 2606, 2453, 971, 607, 834, 342, 4372, 547, 713, 1770, 257, 693, 519, 4098, 610, 8753, 519, 1439, 269, 1684, 711, 946, 2592, 269, 0, 7170, 281, 3245, 1133, 10561, 547, 5564, 10561, 281, 589, 9608, 17714, 3414, 5565, 8556, 5928, 692, 2691, 1250, 9393, 267, 4460, 267, 7608, 513, 2816, 693, 513, 2101, 5663, 2754, 1614, 1296, 3516, 267, 649, 941, 4278, 2683, 827, 519, 1007, 3255, 621, 1131, 3142, 938, 1920, 269, 1717, 267, 1919, 4957, 13497, 950, 1010, 16108, 4956, 547, 1847, 930, 2504, 547, 3624, 1813, 547, 519, 4507, 21892, 676 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2027, 2069, 1184, 666, 581, 11566, 585, 1312, 3237, 543, 7855, 269, 1280, 1383, 267, 1114, 11868, 1063, 17692, 9915, 338, 267, 594, 7968, 338, 267, 543, 476, 27843, 338, 666, 581, 2352, 269, 634, 4928, 4116, 568, 513, 4759, 540, 519, 15834, 2319, 267, 543, 621, 568, 1271, 585, 519, 4116, 547, 723, 513, 2489, 1620, 540, 17692, 9915, 338, 267, 594, 7968, 338, 267, 543, 476, 27843, 338, 269, 634, 15834, 2319, 2882, 519, 3446, 1377, 4116, 267, 2027, 2069, 4116, 267, 8664, 11347, 267, 1153, 18673, 4882, 2133, 626, 267, 519, 3237, 267, 543, 519, 2875, 630, 15290, 621, 568, 3617, 1916, 2690, 713, 7084, 267, 1711, 513, 476, 1321, 268, 1428, 13472, 3059, 6881, 585, 606, 14232, 3318, 1646, 563, 25147, 519, 1739, 538, 519, 6881, 912, 7336, 534, 725, 540, 9517, 12788, 267, 17692, 9915, 338, 267, 594, 7968, 338, 267, 543, 476, 27843, 4566, 543, 875, 789, 8428, 689, 1142, 824, 563, 14197, 3157, 585, 2027, 2069, 8446, 267, 1519, 4132, 4855, 267, 2385, 29748, 267, 543, 1153, 29748, 563, 305, 3421, 1920, 267, 519, 1153, 267, 543, 5924, 8664, 12200, 543, 5234, 1404, 538, 8446, 267, 1489, 267, 543, 8989, 267, 607, 1134, 607, 519, 2495, 540, 3028, 6765, 563, 32325, 540, 2792, 609, 3885, 3823, 519, 1184, 540, 2027, 2069, 8446, 563, 288, 2140, 13472, 267, 4704, 13472, 267, 543, 1459, 518, 779, 4967, 563, 28874, 707, 6881, 609, 476, 274, 268, 276, 14046, 8100, 563, 7093, 6768, 713, 7084, 2687, 547, 519, 4808, 1336, 538, 519, 14905, 13910, 6651, 267, 4092, 538, 519, 9906, 11773, 4741, 269, 1323, 7493, 568, 711, 2838, 563, 1607, 7084, 3096, 513, 19875, 269, 5623, 519, 19875, 1991, 547, 4098, 519, 7084, 547, 1831, 5432, 609, 519, 6788, 585, 3811, 12032, 563, 2791, 616, 2838, 547, 10505, 713, 7084, 547, 700, 8554, 2237, 563, 22013, 1853, 532, 513, 1164, 7779, 1587, 693, 513, 10257, 3902, 568, 711, 2614, 15042, 563, 6546, 779, 1946, 649, 723, 2919, 476, 276, 6225, 18715, 602, 786, 1118, 707, 1995, 609, 938, 3028, 11791, 267, 2653, 267, 543, 2922, 563, 2791, 723, 547, 581, 476, 1911, 260, 2386, 540, 519, 2298, 540, 707, 1587, 547, 2285, 513, 2724, 25746, 10018, 269, 901, 6257, 721, 9985, 269, 5269, 2386, 602, 713, 10018, 568, 11207, 12001, 19403, 811, 454, 10376, 1957, 568, 7768, 689, 15072, 267, 2687, 547, 707, 5528, 269, 898, 568, 1287, 13761, 676, 938, 17096, 1673, 564, 1254, 3301, 269, 1703, 568, 1100, 7934, 1141, 17096, 1223, 25837, 538, 19403, 811, 454, 12552, 547, 938, 1863, 26941, 267, 972, 568, 1100, 1259, 585, 596, 547, 581, 5667, 15384, 30829, 269, 1284, 786, 960, 593, 707, 1957, 2394, 596, 616, 4625, 6126, 609, 519, 1267, 19403, 811, 454, 7312, 4757, 568, 2922, 267, 607, 649, 4558, 621, 2687, 547, 3486, 1239, 4027, 3652, 269, 2659, 4871, 3877, 616, 5150, 267, 607, 649, 946, 1152, 6325, 8569, 1949, 19403, 811, 454, 3528, 11488, 721, 707, 2724, 267, 596, 4444, 519, 3028, 649, 1683, 269, 6744, 856, 938, 2474, 543, 2175, 952, 596, 4782, 1870, 12909, 547, 581, 9788, 856, 538, 4013, 1893, 19403, 811, 0, 1607, 568, 2808, 547, 581, 513, 2929, 1673, 20683, 2243, 543, 1169, 15847, 3461, 6499, 547, 917, 519, 2626, 540, 713, 2243, 269, 898, 779, 2731, 2352, 547, 2626, 713, 2243, 538, 2474, 540, 9811, 610, 1100, 269, 4014, 972, 781, 1100, 10826, 585, 3987, 267, 2090, 1397, 621, 781, 2009, 585, 930, 1004, 547, 9258, 621, 269, 3414, 2732, 2242, 543, 2597, 2530, 267, 596, 949, 581, 2111, 547, 3914, 543, 3180, 3339, 1973, 4006, 2157, 1510, 6646, 563, 4131, 721, 1174, 799, 1826, 540, 3987, 568, 26464, 543, 799, 568, 31181, 538, 1931, 547, 1205, 519, 2626, 585, 713, 2243, 10778, 2467, 616, 930, 3987, 2010, 799, 616, 26464, 563, 268, 7392, 268, 272, 3987, 8813, 538, 519, 26464, 7121, 607, 519, 1560, 3085, 1406, 3132, 7378, 563, 268, 623, 4545, 805, 545, 3987, 568, 849, 1776, 1826, 540, 3987, 799, 8813, 896, 519, 26464, 3987, 7121, 1317, 519, 18558, 568, 8697, 1317, 540, 4616, 540, 4568, 610, 1813, 547, 4719, 25983, 1275, 563, 268, 12059, 1826, 540, 3987, 799, 8813, 896, 713, 7121, 568, 700, 4696, 288, 630, 23272, 550, 16790, 14545, 3987, 540, 15296, 264, 713, 568, 2147, 547, 1826, 268, 272, 3987, 267, 855, 922, 11144, 568, 3500, 3379, 547, 1826, 268, 272, 563, 268, 18726, 3987, 568, 849, 606, 26464, 2186, 540, 3987, 563, 30048, 2010, 799, 616, 31181, 281, 7392, 476, 273, 3987, 568, 513, 3987, 602, 2306, 7378, 267, 855, 741, 2281, 1810, 1405, 946, 621, 607, 1134, 607, 789, 1058, 269, 4658, 609, 1826, 476, 273, 3987, 616, 1767, 547, 723, 7378, 4187, 269, 7392, 476, 273, 3987, 568, 31181, 538, 930, 2665, 799, 1331, 2665, 1141, 538, 2550, 723, 10778, 268, 4400, 2597, 1315, 8377, 454, 268, 6184, 6081, 4187, 454, 268, 6520, 1644, 3987, 1411, 1590, 723, 2938, 18537, 593, 1514, 2923, 547, 1205, 7759, 540, 3987, 538, 476, 275, 268, 276, 2395, 799, 616, 2141, 269, 898, 781, 711, 606, 2653, 4305, 547, 9258, 3987, 269, 898, 781, 2009, 547, 9258, 3987, 538, 513, 3621, 1259, 563, 310, 904, 547, 2569, 3987, 538, 3621, 1259, 2433, 13379, 2530, 268, 4227, 2597, 666, 948, 538, 10941, 532, 519, 3987, 269, 5565, 2081, 676, 799, 649, 666, 2569, 519, 2597, 616, 10778, 289, 926, 6222, 6391, 568, 513, 1826, 540, 6391, 799, 568, 1031, 547, 2569, 519, 7181, 543, 16892, 2450, 1141, 621, 568, 9863, 602, 476, 2004, 268, 3583, 260, 1004, 723, 1044, 3987, 1863, 585, 476, 276, 268, 1015, 1296, 269, 901, 3085, 1406, 1611, 3987, 568, 4625, 23174, 855, 621, 781, 538, 519, 1121, 2153, 5123, 269, 1809, 952, 891, 2550, 1376, 11543, 2597, 543, 30134, 741, 4505, 4189, 6208, 982, 789, 786, 7985, 689, 3987, 269, 645, 926, 6222, 6391, 568, 513, 2101, 6391, 543, 621, 814, 922, 931, 543, 8374, 563, 291, 2884, 776, 3525, 5874, 1141, 538, 2550, 616, 9277, 547, 3548, 1970, 19346, 2732, 610, 1970, 23343, 12929, 2732, 2073, 2550, 616, 2016, 476, 7785, 268, 8517, 8477, 2732, 799, 814, 1970, 19346, 1543, 1547, 952, 519, 3461, 568, 2111, 547, 2569, 476, 736, 260, 540, 519, 1560, 2597, 1287, 972, 616, 8458, 547, 9258, 3987, 269, 4746, 267, 2059, 609, 2732, 952, 2550, 1246, 513, 2834, 3635, 6296, 1287, 972, 616, 1164, 8458, 269, 901, 1826, 540, 2732, 568, 3665, 269, 898, 1797, 2324, 609, 513, 3318, 543, 1373, 1360, 6417, 609, 875, 1082, 8477, 454, 9767, 3548, 269, 1809, 519, 4960, 602, 621, 1223, 6494, 596, 883, 1121, 2153, 949, 2285, 596, 2178, 8404, 547, 6529, 547, 621, 563, 1692, 1281, 3987, 1205, 20328, 286, 1879, 519, 2597, 4991, 4389, 267, 519, 3170, 16005, 936, 519, 6797, 543, 18558, 616, 6569, 269, 901, 2337, 538, 2810, 7378, 8417, 538, 519, 1560, 799, 2337, 538, 4227, 3987, 563, 6097, 547, 2090, 3987, 666, 581, 20328, 585, 476, 273, 268, 276, 1296, 269, 901, 3085, 1405, 1611, 596, 2811, 4625, 23174, 269, 12128, 568, 606, 5571, 2068, 269, 4634, 952, 596, 2811, 538, 1121, 2153, 267, 799, 1797, 596, 5749, 1405, 2921, 6646, 543, 707, 1973, 4006, 2157, 3251, 538, 513, 2635, 2039, 267, 972, 781, 2141, 513, 4960, 602, 2589, 786, 2132, 269, 1809, 621, 781, 2009, 585, 930, 1004, 547, 979, 1296, 1510, 8373, 9013, 741, 7280, 543, 519, 1072, 4145, 602, 2097, 609, 3987, 269, 634, 2601, 585, 26739, 540, 3987, 568, 1317, 3006, 519, 3461, 568, 711, 2111, 547, 2226, 519, 2597, 269, 1403, 519, 3461, 568, 7092, 689, 3987, 1287, 798, 711, 6336, 4126, 2073, 5077, 513, 4387, 269, 6787, 596, 723, 1826, 476, 272, 610, 1826, 476, 273, 3987, 267, 2141, 2911, 547, 707, 4387, 1354, 4358, 1022, 1007, 2126, 543, 2359, 3681, 269, 2659, 4387, 666, 948, 596, 1020, 519, 1655, 1544, 547, 2232, 707, 3782, 2115, 269, 6513, 707, 2597, 267, 972, 616, 8458, 519, 3987, 1522, 1205, 20328, 585, 930, 1296, 1256, 538, 2013, 621, 1281, 711, 1205, 20328, 707, 6646, 10421, 786, 581, 6417, 269, 0, 32451, 853, 5962, 547, 12619, 286, 2657, 3689, 717, 1161, 2422, 995, 9669, 593, 1215, 547, 5192, 2368, 1744, 1393, 6614, 454, 3528, 6611, 11076, 11545, 12262, 5181, 476, 272, 267, 476, 1708, 271, 454, 8253, 1152, 1281, 513, 3668, 540, 3207, 723, 2168, 4539, 855, 2790, 2360, 454, 289, 3918, 309, 19181, 2910, 7419, 31159, 267, 18919, 3036, 2839, 288, 1107, 589, 1434, 3781, 779, 3207, 286, 898, 779, 1945, 513, 2603, 540, 721, 616, 7508, 1318, 1631, 269, 19484, 513, 1857, 1072, 6433, 3762, 7899, 540, 721, 11842, 543, 14126, 269, 968, 3674, 1250, 2816, 5150, 9495, 968, 4692, 594, 2628, 1250, 20251, 9495, 968, 12663, 594, 1205, 5046, 268, 866, 543, 1205, 7210, 1107, 610, 8338, 18313, 2171, 917, 269, 853, 11691, 9350, 543, 12008, 3280, 569, 3085, 1406, 3100, 1932, 12492, 762, 269, 1809, 621, 779, 1271, 547, 1205, 2834, 267, 1434, 1964, 267, 2523, 1631, 1107, 585, 1312, 707, 2790, 543, 2168, 9716, 563, 10527, 6855, 814, 6038, 2813, 606, 1604, 540, 2566, 543, 4250, 2223, 1767, 3220, 269, 16217, 330, 1662, 4414, 11276, 267, 11022, 267, 6481, 10615, 693, 519, 2657, 3689, 12619, 15544, 269, 968, 29590, 666, 723, 17672, 5222, 267, 7133, 17441, 2157, 607, 1134, 607, 1418, 1949, 3034, 5575, 267, 519, 9238, 563, 2108, 13914, 540, 3207, 607, 513, 1964, 691, 1982, 267, 1141, 513, 1434, 3781, 779, 3207, 568, 547, 12687, 909, 18589, 1117, 2223, 1767, 3220, 269, 4414, 11276, 267, 513, 2657, 3689, 6481, 6828, 8502, 945, 24870, 538, 12619, 6925, 543, 17240, 14004, 8376, 563, 2108, 28036, 568, 513, 10859, 23655, 1533, 602, 5932, 606, 1604, 540, 7816, 543, 11808, 269, 12619, 568, 513, 13766, 585, 4509, 519, 8699, 540, 707, 1072, 543, 1134, 5630, 3034, 8253, 3478, 2614, 1964, 666, 581, 513, 3597, 2014, 540, 2068, 267, 971, 607, 14715, 4713, 267, 9025, 2068, 267, 13119, 267, 543, 3987, 563, 8253, 1152, 1281, 513, 3668, 540, 3207, 723, 2168, 4539, 855, 2790, 2360, 269, 9861, 3207, 31398, 337, 1882, 666, 2014, 721, 547, 581, 8886, 762, 267, 4652, 21682, 267, 7099, 344, 543, 29267, 582, 17300, 269, 1284, 991, 513, 1434, 3781, 779, 3207, 547, 1964, 543, 556, 10276, 1120, 1125, 938, 1950, 6211, 12227, 563, 10932, 814, 1044, 5812, 538, 10771, 519, 11455, 2640, 540, 513, 1964, 995, 5722, 547, 5216, 3108, 540, 3207, 269, 769, 1840, 547, 21045, 540, 6211, 2640, 267, 513, 1434, 3781, 779, 3207, 786, 1832, 596, 4743, 10069, 1242, 267, 1543, 543, 15508, 5423, 547, 3068, 519, 2621, 540, 513, 1007, 1554, 563, 2108, 28036, 849, 2337, 5818, 707, 4761, 1062, 267, 4543, 621, 9718, 1996, 5739, 28164, 2223, 3220, 269, 4414, 11276, 6045, 563, 2108, 21413, 3207, 267, 707, 1560, 3587, 21260, 538, 922, 8878, 267, 543, 621, 3587, 811, 11630, 547, 4576, 267, 799, 568, 1945, 649, 9090, 1616, 547, 2057, 1282, 519, 1699, 6855, 269, 12619, 22975, 666, 7369, 938, 4761, 1062, 267, 799, 666, 723, 7168, 3983, 4539, 3034, 3719, 621, 779, 711, 2653, 547, 9505, 1055, 938, 8186, 543, 2879, 5622, 2763, 269, 13262, 8952, 1004, 25805, 267, 8380, 519, 8401, 1062, 538, 513, 3586, 968, 325, 2775, 11399, 1922, 697, 892, 7154, 543, 28817, 909, 8082, 269, 1452, 796, 29446, 10399, 666, 1860, 3207, 3270, 543, 666, 2014, 721, 547, 723, 8373, 27510, 610, 4509, 3207, 563, 7804, 269, 4414, 11276, 17613, 602, 7850, 3207, 568, 1175, 607, 1271, 513, 1907, 607, 9849, 513, 9633, 267, 1688, 2914, 4770, 543, 4509, 1514, 26865, 1282, 713, 6855, 269, 898, 782, 6238, 609, 22867, 547, 513, 2834, 3207, 8430, 563, 2108, 9359, 513, 6296, 602, 1568, 585, 596, 543, 2636, 707, 2247, 547, 7938, 785, 543, 6001, 693, 519, 1439, 540, 519, 1554, 2223, 3220, 269, 4414, 11276, 1767, 563, 2108, 28036, 22975, 786, 1152, 24244, 513, 17173, 1533, 540, 1373, 267, 865, 596, 1590, 1118, 519, 4674, 547, 2327, 596, 616, 8391, 519, 2179, 540, 2298, 3207, 596, 991, 269, 4634, 952, 707, 2247, 568, 1964, 1652, 267, 707, 1560, 568, 25356, 543, 2115, 519, 29915, 908, 1379, 540, 513, 1434, 3781, 779, 3207, 3034, 2791, 666, 1376, 676, 10213, 3054, 602, 3207, 568, 811, 1271, 982, 707, 19048, 540, 519, 1554, 267, 3220, 269, 4414 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 23311, 609, 519, 1325, 2532, 534, 4731, 600, 1393, 267, 799, 3947, 873, 513, 1413, 1360, 2147, 547, 519, 4436, 1352, 23311, 267, 855, 789, 723, 513, 12402, 547, 1732, 12048, 1072, 982, 519, 4436, 9742, 267, 799, 568, 12155, 547, 7092, 689, 12048, 7988, 25936, 563, 5445, 616, 18512, 543, 10995, 5243, 602, 991, 6266, 540, 3635, 543, 1569, 547, 519, 13964, 267, 1510, 799, 789, 616, 19038, 547, 1831, 796, 745, 569, 543, 1360, 16160, 563, 5445, 4043, 547, 581, 26339, 543, 18219, 982, 519, 4436, 1352, 23311, 267, 7555, 909, 547, 476, 1556, 9492, 26339, 982, 519, 1283, 1439, 540, 519, 4436, 1352, 23311, 2039, 267, 543, 5732, 20604, 909, 547, 476, 866, 11899, 811, 269, 1358, 666, 849, 581, 1336, 538, 513, 2647, 2039, 540, 10359, 15437, 267, 8151, 689, 28886, 565, 712, 547, 22833, 565, 712, 267, 609, 3109, 543, 16009, 1373, 741, 1079, 2596, 10359, 15437, 269, 0, 1103, 634, 2677, 1417, 540, 2494, 267, 3370, 538, 476, 6942, 272, 267, 8176, 16817, 32424, 602, 938, 11937, 3357, 689, 4000, 269, 1261, 11329, 856, 602, 1851, 782, 2831, 267, 519, 3979, 3284, 525, 2443, 27580, 25022, 543, 32315, 2763, 525, 2443, 941, 519, 1034, 2147, 547, 3425, 269, 1809, 646, 1185, 2370, 8093, 2963, 269, 634, 1906, 1634, 1480, 15455, 1185, 1044, 1336, 538, 2342, 267, 543, 1346, 602, 8945, 1194, 538, 936, 519, 1985, 476, 2004, 1296, 3357, 689, 2342, 543, 689, 5607, 563, 295, 611, 16817, 13603, 519, 4636, 11782, 888, 7661, 267, 538, 476, 4572, 275, 267, 513, 6830, 3726, 748, 1265, 6462, 16817, 779, 25127, 269, 7324, 519, 11935, 693, 513, 14680, 26755, 538, 3162, 4000, 267, 19379, 16626, 519, 8093, 1242, 15693, 540, 513, 22525, 269, 9122, 593, 519, 1126, 779, 11100, 540, 1480, 3697, 543, 3284, 601, 833, 2934, 267, 606, 20133, 558, 626, 5462, 602, 519, 8093, 729, 1018, 729, 1287, 2442, 569, 1634, 607, 513, 968, 332, 1170, 532, 3095, 1848, 898, 729, 519, 1034, 3284, 601, 833, 8093, 2943, 1336, 540, 513, 4630, 514, 573, 2443, 602, 568, 267, 513, 4759, 540, 519, 1920, 670, 7631, 13160, 267, 799, 2882, 2413, 3425, 543, 782, 938, 2673, 267, 17255, 14077, 269, 0, 306, 7428, 476, 1708, 271, 910, 670, 8780, 476, 28883, 310, 661, 1911, 454, 29638, 543, 3778, 630, 275, 994, 12218, 7089, 281, 476, 5379, 278, 273, 454, 22013, 6116, 6396, 281, 769, 12287, 454, 7336, 2803, 3140, 2242, 538, 27828, 543, 8706, 6541, 269, 4635, 513, 21044, 543, 30427, 270, 1260, 1706, 894, 1935, 267, 621, 786, 4983, 875, 4008, 9163, 616, 4646, 543, 1201, 5831, 539, 1369, 1114, 3140, 8658, 269, 898, 786, 849, 2263, 519, 5872, 1063, 4008, 543, 824, 1949, 540, 1379, 971, 607, 5198, 267, 1362, 267, 543, 14940, 269, 4841, 609, 5491, 585, 670, 8780, 476, 28883, 949, 711, 1491, 713, 1576, 585, 2417, 5491, 269, 5675, 563, 29638, 543, 11557, 7081, 538, 1284, 31483, 5125, 1607, 670, 8780, 476, 28883, 310, 7710, 513, 3099, 540, 4485, 547, 519, 4901, 540, 4008, 543, 14920, 1282, 5125, 779, 1284, 31483, 1296, 630, 4489, 280, 268, 4350, 274, 1040, 634, 1576, 786, 1930, 609, 606, 3408, 540, 1455, 5784, 827, 1284, 31483, 5125, 267, 2059, 609, 513, 4901, 540, 2474, 543, 6688, 17640, 547, 519, 1686, 540, 14920, 543, 4008, 3961, 269, 4438, 519, 1101, 5049, 267, 649, 786, 22738, 513, 2689, 540, 3140, 18765, 11341, 547, 519, 8739, 27791, 3510, 538, 5125, 1282, 519, 1284, 31483, 1296, 267, 10483, 676, 519, 2079, 540, 2824, 3119, 5931, 267, 607, 7041, 585, 519, 811, 5265, 4008, 25700, 4901, 540, 519, 14230, 540, 519, 2165, 269, 17564, 786, 581, 12979, 1819, 676, 15966, 768, 1157, 779, 1257, 543, 7471, 609, 513, 1297, 540, 3119, 2959, 689, 519, 5736, 267, 1519, 1312, 4670, 630, 23325, 19664, 267, 21989, 538, 31538, 264, 543, 5339, 1568, 630, 11390, 684, 779, 634, 14464, 28010, 21756, 1916, 4596, 7838, 10345, 268, 4041, 27111, 11581, 24102, 3201, 23184, 28940, 912, 1103, 1840, 547, 16565, 543, 4396, 4328, 1702, 827, 519, 4436, 1914, 32241, 5251, 1282, 519, 1284, 31483, 1296, 1765, 5976, 513, 1808, 1445, 593, 713, 2486, 779, 2093, 827, 14920, 543, 4008, 267, 1053, 786, 849, 1020, 741, 3140, 2079, 5759, 676, 2324, 2047, 593, 3119, 2959, 689, 519, 5736, 538, 513, 3099, 540, 3029, 543, 2923, 630, 5228, 11356, 4930, 267, 547, 18531, 543, 8915, 657, 267, 607, 1134, 607, 4670, 267, 543, 5708, 1070, 1247, 693, 519, 1482, 942, 8026, 741, 4081, 1603, 1983, 269, 634, 1576, 6663, 547, 2263, 519, 1739, 2055, 912, 6440, 1215, 1705, 713, 1880, 22882, 538, 8739, 27791, 1686, 3337, 1523, 687, 540, 4008, 543, 14920, 888, 6440, 769, 799, 2081, 1705, 891, 8428, 689, 2757, 267, 840, 8862, 310, 272, 5784, 540, 891, 1482, 6688, 888, 6440, 1215, 1705, 4436, 2486, 4431, 547, 519, 7835, 538, 519, 2127, 540, 4008, 543, 14920, 1282, 713, 1974, 286, 21518, 891, 7835, 8272, 549, 1042, 11992, 538, 2342, 610, 3345, 3013, 888, 6440, 1215, 1281, 713, 1974, 5635, 547, 1699, 1514, 3466, 538, 891, 2127, 286, 1772, 971, 513, 6476, 11562, 5896, 888, 6440, 1548, 568, 972, 547, 581, 4121, 689, 519, 1284, 31483, 4603, 1107, 538, 2474, 540, 4485, 547, 4008, 543, 14920, 267, 607, 1134, 607, 538, 6626, 1514, 2474, 888, 268, 12729, 11905, 5811, 476, 1428, 14999, 268, 3883, 19809, 476, 736, 14999, 268, 17912, 5623, 476, 1015, 14999, 268, 9137, 5623, 476, 1015, 14999, 268, 15937, 4828, 476, 1789, 14999, 268, 29934, 766, 1299, 30880, 476, 1428, 14999, 25857, 580, 267, 25288, 269, 630, 1220, 273, 1040, 634, 1284, 31483, 6243, 267, 476, 4489, 280, 268, 4350, 274, 269, 630, 299, 4545, 2120, 30732, 7410, 1040, 5507, 282, 1715, 3840, 281, 30296, 269, 630, 306, 293, 308, 2228, 994, 11390, 684, 267, 594, 3944, 326, 731, 269, 630, 1001, 272, 1040, 634, 5841, 16536, 8004, 269, 1715, 3840, 281, 4033, 4964, 454, 18250, 290, 768, 1157, 267, 9400, 269, 630, 1220, 272, 1040, 13834, 543, 14920, 538, 1284, 31483, 7073, 640, 281, 17912, 267, 9085, 267, 543, 834, 6124, 8629, 2032, 6100, 6022, 6588, 557, 5839, 17524, 534, 454, 306, 293, 308, 779, 14288, 6715, 31772, 1357, 3135, 5291, 2517, 4178, 4732, 14673, 28022, 270, 29324, 270, 659, 27854, 15759, 31772, 11258, 568, 4904, 609, 1344, 593, 1018, 568, 5921, 676, 4081, 31081, 17965, 267, 1141, 596, 666, 1265, 2200, 547, 948, 609, 707, 2090, 543, 519, 4539, 540, 32533, 269, 6744, 856, 519, 3135, 585, 811, 1344, 543, 7044, 602, 948, 2491, 519, 2152, 538, 10750, 2296, 563, 10376, 2875, 568, 3743, 585, 1010, 610, 1200, 2932, 607, 621, 5540, 519, 2160, 2146, 269, 14288, 31081, 17965, 267, 538, 8726, 1106, 267, 568, 6038, 16160, 540, 519, 2418, 540, 519, 2160, 269, 5015, 267, 621, 568, 15490, 543, 1167, 15758, 547, 519, 5354, 540, 1053, 945, 11654, 741, 2090, 25473, 269, 7647, 8765, 8699, 568, 2838, 540, 782, 2818, 540, 519, 2160, 269, 5291, 2517, 4178, 4732, 14673, 28022, 9706, 4301, 625, 17320, 1794, 8291, 270, 30700, 4882, 1015, 268, 4905, 11258, 454, 3722, 4696, 4932, 2975, 21850, 9680, 305, 14510, 281, 22400, 20796, 298, 267, 22400, 24639, 6717, 8577, 0, 27908, 687, 4413, 513, 7594, 610, 1079, 1142, 1554, 563, 20055, 721, 1689, 602, 256, 8437, 547, 24946, 2221, 2336, 6224, 22790, 476, 2918, 634, 1234, 793, 540, 772, 3960, 11672, 454, 272, 269, 634, 4098, 540, 1010, 12081, 630, 273, 20048, 2873, 476, 2918, 281, 272, 268, 276, 12467, 273, 269, 772, 3960, 11672, 779, 1967, 543, 6830, 5874, 630, 273, 20048, 2873, 476, 2918, 281, 277, 268, 1428, 12467, 274, 269, 772, 3960, 11672, 779, 5609, 543, 682, 2889, 1910, 630, 273, 20048, 2873, 476, 2918, 281, 1626, 268, 2641, 12467, 275, 269, 634, 2669, 540, 772, 3960, 11672, 630, 273, 20048, 2873, 476, 2918, 281, 2420, 268, 2537, 12467, 763, 12312, 540, 2549, 1794, 11672, 267, 772, 3960, 11672, 267, 538, 1010, 31303, 1032, 267, 729, 1500, 4622, 676, 519, 1004, 269, 769, 5822, 18301, 476, 1428, 646, 568, 1572, 10897, 7559, 327, 269, 630, 1103, 519, 14391, 725, 593, 476, 273, 18301, 476, 1428, 281, 272, 268, 273, 606, 7778, 568, 2016, 593, 713, 5595, 2012, 540, 772, 3960, 11672, 4700, 30037, 729, 1287, 22445, 538, 28311, 630, 3674, 320, 11672, 476, 272, 281, 272, 15426, 30037, 779, 2012, 568, 5018, 538, 14235, 476, 2420, 269, 670, 846, 320, 630, 295, 846, 320, 476, 272, 281, 272, 16532, 2549, 657, 630, 8649, 657, 476, 272, 281, 272, 3738, 543, 2098, 3663, 7559, 327, 630, 273, 20048, 2873, 476, 2918, 281, 276, 3738, 941, 849, 28556, 1282, 1010, 12081, 269, 634, 8545, 568, 711, 267, 540, 1576, 267, 519, 2098, 3663, 7559, 327, 4171, 8748, 22649, 616, 2854, 538, 519, 1433, 799, 12217, 1010, 2012, 269, 772, 3960, 11672, 3710, 4432, 1054, 543, 17468, 602, 1271, 22426, 547, 28311, 630, 273, 18301, 476, 1691, 281, 2420, 15426, 3245, 4432, 1054, 543, 26442, 542, 8566, 324, 828, 21125, 779, 9635, 1185, 8854, 547, 744, 874, 597, 630, 272, 18301, 476, 280, 281, 2918, 268, 2764, 6902, 476, 273, 20048, 2873, 476, 279, 281, 1704, 268, 1240, 15426, 31598, 1282, 519, 2395, 540, 808, 528, 600, 630, 10193, 1572, 8614, 1817, 600, 264, 540, 28311, 267, 950, 661, 3256, 15148, 1540, 267, 4432, 1054, 849, 1590, 723, 1831, 4830, 269, 772, 3960, 11672, 1705, 602, 799, 729, 1318, 538, 519, 8289, 540, 519, 28789, 269, 1261, 8179, 2696, 538, 519, 2395, 540, 2098, 3663, 7559, 327, 267, 540, 7247, 649, 917, 4986, 3116, 855, 1018, 568, 5018, 538, 14235, 476, 276, 269, 634, 2098, 3663, 7559, 327, 540, 30037, 476, 279, 281, 273, 3112, 581, 4857, 609, 519, 2098, 3663, 7559, 327, 1934, 267, 585, 519, 835, 5018, 676, 30037, 5030, 1454, 2663, 269, 634, 1732, 17021, 540, 968, 15367, 1185, 1620, 538, 519, 22649, 540, 2696, 2223, 568, 267, 968, 15367, 729, 1010, 630, 308, 3960, 11672, 779, 264, 14357, 538, 519, 4250, 540, 2696, 1848, 3973, 5205, 519, 3948, 968, 553, 1279, 607, 646, 8179, 519, 28789, 267, 2696, 1500, 1864, 10653, 1848, 1656, 713, 568, 1869, 3020, 609, 782, 540, 2696, 779, 1004, 563, 3891, 530, 3042, 513, 1034, 3811, 13137, 1996, 519, 3504, 535, 4141, 540, 5840, 267, 519, 5845, 626, 1149, 269, 2776, 16227, 267, 896, 519, 12081, 540, 8614, 1817, 600, 630, 273, 20048, 2873, 476, 2641, 281, 1626, 268, 1704, 16532, 607, 865, 1419, 1354, 267, 2696, 1185, 1031, 519, 5845, 626, 1149, 547, 669, 770, 1047, 3571, 1004, 267, 855, 1631, 1261, 1031, 772, 3960, 11672, 547, 19439, 873, 585, 741, 29063, 1145, 269, 3973, 519, 2549, 3000, 2572, 4547, 13344, 543, 772, 3960, 11672, 779, 21239, 3262, 607, 2484, 607, 5527, 269, 589, 1390, 11808, 960, 729, 267, 1310, 602, 267, 5645, 593, 676, 1864, 282, 646, 17468, 543, 25167, 519, 7187, 3774, 540, 13243, 267, 799, 1185, 1044, 7745, 1524, 896, 2549, 1794, 11672, 630, 273, 20048, 2873, 476, 1839, 281, 2537, 15426, 3973, 972, 729, 513, 6825, 556, 32360, 540, 519, 7952, 540, 28311, 543, 519, 8878, 540, 13243, 729, 7494, 22541, 269, 968, 4517, 1010, 2012, 3262, 2484, 13383, 282, 585, 646, 729, 14952, 331, 3585, 5280, 267, 11489, 646, 729, 2178, 1848, 1325, 553, 256, 585, 519, 1985, 2370, 2262, 256, 1215, 1419, 649, 1265, 621, 538, 23075, 269, 968, 3719, 17373, 968, 3719, 950, 646, 729, 2178, 267, 1010, 2295, 729, 24850, 909, 547, 1010, 9552, 267, 585, 646, 1098, 326, 5962, 1996, 519, 28789, 1010, 2696, 267, 543, 4682, 883, 519, 11454, 540, 519, 28789, 547, 6633, 1651, 1619, 2390, 519, 26749, 540, 1651, 1619, 1848, 1215, 32444, 891, 1913, 616, 256, 1548, 513, 9963, 789, 2270, 547, 782, 2696, 779, 1004, 256, 1879, 519, 2295, 540, 812, 568, 24850, 909, 267, 950, 11348, 568, 4553, 267, 1098, 326, 1833, 568, 711, 2484, 3297, 269, 968, 7468, 728, 979, 996, 1354, 9552, 267, 543, 513, 688, 7676, 1399, 6891, 1354, 513, 2887, 892, 630, 3682, 18690, 476, 1626, 281, 1240, 15426, 1215, 1134, 621, 568, 585, 2696, 779, 1453, 547, 581, 1454, 593, 741, 8188, 543, 18803, 2933, 1354, 519, 7083, 269, 1677, 581, 2370, 538, 835, 779, 1378, 4064, 543, 1118, 4986, 540, 1582, 568, 3020, 30493, 543, 519, 1747, 540, 3106, 267, 1141, 30616, 6763, 17204 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5126, 269, 1261, 729, 513, 13730, 12167, 585, 519, 29515, 1004, 543, 5206, 1082, 9954, 602, 18808, 609, 2797, 543, 1514, 2152, 269, 3571, 1568, 1419, 3717, 547, 519, 6043, 543, 16177, 540, 519, 29515, 1004, 538, 519, 3068, 540, 14488, 563, 26046, 540, 570, 636, 1415, 534, 779, 4107, 25587, 31888, 454, 5278, 540, 570, 636, 1415, 534, 779, 1034, 4583, 9954, 1331, 968, 763, 13928, 6229, 10326, 2223, 968, 763, 590, 5424, 538, 519, 13957, 2223, 543, 968, 763, 12650, 675, 540, 570, 332, 330, 629, 518, 323, 1848, 1452, 1568, 723, 1831, 11599, 538, 29515, 3332, 543, 616, 1419, 6594, 538, 3506, 543, 9945, 563, 10527, 13928, 6229, 10326, 892, 568, 513, 6648, 827, 519, 5898, 540, 5614, 543, 519, 25430, 540, 1272, 269, 898, 22842, 519, 19806, 4040, 540, 519, 2915, 6229, 3529, 543, 519, 2132, 540, 14246, 543, 1769, 1310, 513, 1279, 5162, 563, 10527, 590, 5424, 538, 519, 13957, 892, 568, 513, 20807, 532, 6648, 827, 513, 22256, 945, 18389, 619, 998, 519, 3781, 267, 13465, 8909, 543, 14264, 3273, 344, 8964, 269, 898, 568, 513, 3532, 9066, 593, 519, 1379, 540, 2575, 547, 2769, 2620, 4664, 543, 1921, 721, 547, 835, 1776, 563, 10527, 12650, 675, 540, 570, 332, 330, 629, 518, 323, 892, 568, 513, 28817, 6648, 827, 519, 29515, 6560, 585, 5191, 543, 7115, 269, 898, 6645, 519, 1650, 540, 519, 7001, 540, 519, 28183, 540, 570, 332, 330, 629, 518, 323, 676, 29515, 25881, 543, 568, 513, 15266, 547, 519, 4222, 543, 6043, 540, 519, 29515, 1004, 563, 26765, 2329, 540, 18433, 807, 2817, 7313, 564, 538, 18433, 807, 454, 307, 636, 1415, 534, 779, 9371, 5170, 547, 581, 5433, 538, 2413, 18433, 807, 267, 1141, 646, 568, 9976, 607, 513, 3084, 5869, 543, 2686, 12835, 269, 3571, 1568, 616, 6594, 538, 3506, 543, 9945, 2429, 519, 2197, 267, 543, 1010, 6965, 543, 18340, 3136, 547, 8300, 1007, 5481, 540, 5830, 543, 3988, 563, 1103, 1840, 547, 1010, 5339, 7418, 267, 570, 636, 1415, 534, 729, 849, 606, 12167, 585, 2069, 543, 1514, 5126, 269, 1261, 5156, 602, 1569, 547, 2069, 729, 1898, 585, 519, 1646, 540, 513, 1175, 543, 12581, 2486, 267, 543, 646, 5249, 24091, 547, 3895, 7924, 543, 2686, 4656, 1851, 519, 29515, 1004, 563, 9213, 267, 570, 636, 1415, 534, 779, 3239, 666, 581, 1336, 593, 29515, 9304, 543, 2022, 720, 22827, 267, 543, 1010, 6965, 568, 1419, 20926, 538, 2797, 18531, 543, 2686, 2621, 269, 1261, 568, 15422, 607, 513, 3084, 14951, 543, 513, 3090, 540, 519, 11972, 6891, 540, 519, 29515, 1004, 563, 295, 990, 327, 2335, 525, 570, 636, 1415, 534, 729, 513, 10564, 267, 5856, 267, 543, 2686, 12835, 945, 5129, 513, 4105, 1909, 538, 5935, 519, 5339, 543, 2686, 5251, 540, 18433, 807, 538, 519, 2038, 476, 736, 628, 2540, 269, 3571, 6965, 543, 18340, 3136, 547, 581, 6594, 543, 9976, 2429, 519, 2197, 267, 543, 1010, 9371, 607, 513, 22299, 540, 2069, 543, 1514, 5126, 679, 706, 637, 547, 713, 1554, 563, 307, 636, 1415, 534, 779, 1568, 616, 6353, 676, 741, 3929, 3178, 267, 11430, 3740, 5898, 267, 543, 13730, 14223, 585, 519, 29515, 1004, 269, 3571, 6965, 543, 18340, 723, 1044, 12261, 883, 1082, 4654, 543, 3136, 547, 8300, 3988, 1472, 519, 1158, 563, 7437, 1010, 1148, 543, 17933, 267, 570, 636, 1415, 534, 22993, 519, 6891, 540, 18433, 807, 543, 922, 1004, 267, 543, 1010, 7418, 547, 519, 2197, 779, 5339, 543, 2686, 6561, 786, 581, 9976, 585, 5481, 547, 2097, 563, 268, 1548, 568, 670, 990, 327, 2335, 525, 570, 636, 1415, 534, 1655, 1634, 585, 888, 295, 990, 327, 2335, 525, 570, 636, 1415, 534, 568, 1655, 1634, 585, 1010, 6965, 543, 18340, 267, 799, 723, 1831, 11537, 27825, 538, 29515, 3332, 563, 268, 1548, 616, 930, 540, 570, 636, 1415, 534, 779, 1034, 4583, 1568, 888, 5278, 540, 570, 636, 1415, 534, 779, 1034, 4583, 1568, 1331, 968, 763, 13928, 6229, 10326, 2223, 968, 763, 590, 5424, 538, 519, 13957, 2223, 543, 968, 763, 12650, 675, 540, 570, 332, 330, 629, 518, 323, 3034, 268, 1548, 4798, 616, 1459, 538, 570, 636, 1415, 534, 779, 6965, 888, 307, 636, 1415, 534, 779, 6965, 6227, 513, 2647, 2039, 540, 4798, 267, 1519, 2470, 267, 8498, 1272, 267, 2648, 267, 17035, 267, 543, 519, 6560, 585, 5191, 543, 5126, 563, 268, 1548, 568, 570, 636, 1415, 534, 779, 9371, 538, 2413, 18433, 807, 888, 307, 636, 1415, 534, 568, 9976, 607, 513, 3084, 5869, 543, 2686, 12835, 538, 2413, 18433, 807, 267, 1141, 1010, 1568, 616, 6594, 543, 1010, 3239, 666, 581, 1336, 593, 9304, 543, 2022, 720, 22827, 563, 268, 1548, 729, 570, 636, 1415, 534, 779, 9295, 547, 1453, 779, 3332, 888, 307, 636, 1415, 534, 729, 513, 30508, 5856, 540, 1453, 779, 3332, 543, 5156, 538, 519, 2956, 540, 1128, 3739, 513, 2648, 540, 2542, 543, 9423, 538, 1453, 689, 513, 1762, 2085, 269, 3571, 1453, 779, 2984, 723, 1831, 11537, 27825, 538, 18433, 807, 563, 268, 570, 636, 1415, 534, 267, 670, 990, 327, 2335, 525, 269, 29120, 3718, 267, 11730, 476, 272, 281, 17826, 269, 3690, 3836, 676, 667, 10005, 14216, 6953, 990, 534, 612, 1014, 269, 24354, 267, 24696, 281, 31722, 3557, 2160, 4964, 267, 476, 1001, 272, 563, 268, 570, 636, 1415, 534, 267, 670, 990, 327, 2335, 525, 269, 634, 13928, 6229, 10326, 543, 4033, 31888, 269, 3690, 3836, 676, 6276, 670, 269, 570, 1662, 329, 1014, 269, 20588, 267, 11404, 281, 2160, 540, 4993, 4964, 267, 476, 1960, 278, 563, 268, 7195, 752, 1014, 267, 8834, 269, 634, 8738, 940, 570, 580, 5142, 281, 634, 29515, 2637, 17462, 543, 3013, 779, 15863, 269, 1715, 3840, 281, 22489, 31890, 267, 476, 1220, 274, 269, 0, 1103, 713, 2376, 267, 649, 786, 5490, 883, 519, 1888, 540, 18548, 11844, 543, 4173, 345, 1122, 990, 2088, 2817, 15215, 267, 799, 568, 5771, 269, 18548, 11844, 543, 4173, 345, 1122, 990, 2088, 267, 4092, 538, 25878, 2342, 267, 568, 513, 2197, 1634, 585, 922, 3638, 1686, 267, 3309, 2528, 267, 543, 3909, 6561, 269, 1284, 786, 2263, 519, 3140, 2796, 267, 3909, 5888, 267, 519, 1909, 540, 5771, 538, 2486, 267, 543, 922, 4644, 538, 5935, 519, 18548, 333, 1014, 3961, 563, 289, 657, 11844, 543, 4173, 345, 1122, 990, 2088, 267, 1419, 5219, 547, 607, 4437, 295, 267, 568, 513, 2197, 13883, 538, 519, 26811, 534, 18686, 269, 898, 8843, 10665, 609, 1896, 2477, 267, 1519, 23886, 807, 267, 28993, 267, 543, 3933, 1084, 1122, 549, 269, 634, 3148, 814, 513, 1950, 1686, 1813, 547, 922, 10923, 4087, 267, 4611, 538, 513, 2189, 11100, 540, 4529, 543, 3909, 5389, 563, 23208, 11137, 540, 18548, 11844, 543, 4173, 345, 1122, 990, 2088, 454, 2414, 1174, 519, 3909, 5251, 540, 18548, 11844, 543, 4173, 345, 1122, 990, 2088, 267, 621, 568, 1898, 547, 4983, 922, 3140, 1646, 269, 634, 3148, 814, 14754, 1585, 7506, 543, 15194, 7060, 936, 519, 5553, 563, 15900, 3778, 543, 21478, 454, 763, 2038, 1686, 540, 18548, 11844, 543, 4173, 345, 1122, 990, 2088, 4718, 519, 12625, 540, 1585, 23577, 545, 11031, 269, 1635, 519, 476, 280, 628, 2540, 267, 519, 3148, 2968, 513, 851, 540, 519, 10089, 326, 4115, 7276, 269, 13536, 593, 267, 621, 8593, 896, 519, 4341, 540, 519, 20850, 7276, 267, 799, 2451, 513, 1713, 1764, 593, 519, 2199, 2528, 563, 302, 1777, 2674, 7276, 543, 9099, 21478, 454, 1103, 519, 476, 1428, 628, 2540, 267, 18548, 11844, 543, 4173, 345, 1122, 990, 2088, 3357, 896, 519, 1852, 540, 519, 16368, 7276, 269, 901, 6825, 513, 2629, 7432, 1448, 538, 519, 3909, 5251, 540, 519, 3148, 269, 5771, 729, 5189, 543, 7930, 3262, 1851, 519, 2199, 2551, 267, 17706, 12371, 609, 4540, 4168, 2950, 563, 288, 755, 549, 6953, 2426, 4115, 14329, 543, 16241, 29196, 454, 763, 476, 866, 628, 2540, 4547, 827, 1776, 6521, 538, 18548, 11844, 543, 4173, 345, 1122, 990, 2088, 779, 3909, 6384, 269, 634, 3148, 3357, 896, 3243, 549, 6953, 2426, 4115, 4341, 267, 543, 3646, 941, 1500, 547, 3895, 30871, 543, 18179, 344, 269, 901, 3366, 547, 513, 7771, 538, 519, 7332, 2551, 267, 607, 1082, 18548, 14269, 6545, 10736, 547, 824, 5132, 338, 563, 13528, 566, 540, 31735, 807, 543, 16241, 15213, 454, 16729, 519, 1439, 540, 2622, 2782, 594, 267, 18548, 11844, 543, 4173, 345, 1122, 990, 2088, 2968, 513, 851, 540, 519, 8003, 540, 5395, 2125, 267, 15867, 1846, 267, 543, 6215, 8576, 525, 267, 799, 2663, 9927, 883, 519, 8003, 540, 31735, 807, 269, 4438, 713, 1974, 267, 3909, 5191, 729, 17468, 267, 3850, 1004, 547, 2259, 741, 5132, 1510, 20655, 563, 289, 657, 11844, 543, 4173, 345, 1122, 990, 2088, 2817, 15215, 454, 289, 657, 11844, 543, 4173, 345, 1122, 990, 2088, 568, 6353, 676, 922, 3909, 4763, 269, 634, 2197, 5161, 540, 1614, 2101, 3909, 2950, 281, 5771, 267, 18179, 8567, 267, 543, 4936, 30871, 269, 1717, 267, 5771, 6585, 513, 7986, 1747, 538, 519, 3909, 5888, 540, 519, 2197, 563, 7343, 6918, 2954, 476, 2004, 260, 540, 519, 2551, 538, 18548, 11844, 543, 4173, 345, 1122, 990, 2088, 14439, 607, 7332, 267, 1818, 621, 519, 4102, 3909, 1895, 538, 519, 2197, 269, 634, 7332, 2146, 538, 18548, 11844, 543, 4173, 345, 1122, 990, 2088, 568, 15866, 6129, 14269, 267, 1739, 519, 12390, 2378, 328, 1153, 540, 9099, 10883, 1440, 28619, 563, 26576, 538, 18548, 11844, 543, 4173, 345, 1122, 990, 2088, 454, 6635, 337, 2526, 543, 24619, 540, 5771, 454, 26576, 8452, 538, 18548, 11844, 543, 4173, 345, 1122, 990, 2088, 609, 519, 7269, 540, 519, 16368, 7276, 538, 519, 476, 1428, 628, 2540, 269, 634, 16368, 17710, 4547, 9099, 9821, 267, 5389, 267, 543, 3909, 5238, 547, 519, 3148, 269, 3683, 942, 267, 5771, 3262, 1851, 519, 18548, 14269, 752, 2551, 267, 543, 9923, 13196, 543, 14834, 6652, 553, 941, 3964, 563, 26576, 545, 26492, 543, 13756, 454, 763, 9099, 5389, 543, 2853, 538, 18548, 11844, 543, 4173, 345, 1122, 990, 2088, 616, 7184, 12082, 538, 519, 2686, 5958, 540, 519, 2197, 269, 12356, 538, 18548, 11844, 543, 4173, 345, 1122, 990, 2088, 4497, 538, 3232, 19001, 267, 7747, 17509, 1282, 30782, 267, 543, 7119, 538, 3909, 15976, 971, 607, 661, 573, 620, 6363, 527, 337, 543, 661, 573, 620, 268, 3849, 3873, 563, 26576, 545, 15339, 543, 11595, 454, 289, 657, 11844, 543, 4173, 345, 1122, 990, 2088, 19646, 513, 3638, 9099, 11265, 6561, 269, 634, 3148, 568, 1753, 547, 3875, 9923, 13196, 267, 930, 540, 799, 4266, 1394, 547, 519, 16368, 1974, 269, 1452, 9923, 13196, 267, 609, 741, 6946, 6272, 543, 2189, 11265, 6163, 267, 4196, 607, 6698, 540, 519, 9099, 6561, 538, 18548, 11844, 543, 4173, 345, 1122, 990, 2088, 563, 305, 1961, 540, 5771, 538, 18548, 333, 1014, 5980, 454, 24292, 19043, 540, 5771, 454, 26576, 4249, 513, 2629, 1909, 538, 5935, 519, 2686, 3961, 540, 18548, 11844, 543, 4173, 345, 1122, 990, 2088, 269, 634, 9099, 5389, 267, 2418, 267, 543, 9821, 616, 7184, 3824, 11712, 538, 519, 3232, 2729, 540, 519, 18548, 14269, 752, 2551, 269, 9099, 15976, 267, 6575, 267, 2575, 267, 543, 11951, 3565, 547, 519, 3638, 2686, 13795, 540, 519, 2197, 563, 9824, 16406, 15213, 543, 3213, 1410, 14571, 454, 289, 657, 11844, 543, 4173, 345, 1122, 990, 2088, 267, 1634, 585, 922, 954, 516, 31437, 30398, 267, 2488, 606, 1604, 540, 3909, 5191, 269, 634, 2197, 5088, 806, 4763, 543, 2636, 2043, 547, 2259, 741, 5132, 1510, 7130, 269, 634, 9099, 2146, 8362, 2535, 919, 538, 7679, 28216, 19929, 543, 1568, 2509, 5807, 1620, 543, 10892, 563, 26576, 543, 18548, 333, 1014, 14740, 454, 26576, 607, 513, 3281, 9426, 540, 2817, 14740, 454, 26576, 6585, 1713, 2956, 607, 513, 5057, 540, 519, 18548, 333, 1014, 3084, 3961, 269, 6736, 519, 2591, 5185, 2429, 1686, 267, 18548, 14269, 6545, 723, 9738, 741, 9099, 5132, 267, 543, 621, 814, 1831, 606, 7533, 851, 540, 741, 2686, 543, 3084, 6561, 269, 5771, 5713, 607, 513, 796, 4328, 3196, 585, 519, 18548, 14269, 752, 2146, 563, 29936, 543, 26504, 540, 18548, 11844, 543, 4173, 345, 1122, 990, 2088, 2817, 15215, 454, 289, 657, 11844, 543, 4173, 345, 1122, 990, 2088, 814, 5185, 3875, 2591, 538, 8497, 922, 3909, 4763, 543, 2686, 6561, 269, 634, 18548, 333, 1014, 2782, 538, 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 ]
[ 9704, 616, 5116, 7157, 454, 825, 952, 2638, 5091, 580, 1080, 263, 7483, 20311, 264, 11203, 6936, 912, 1038, 2132, 8771, 692, 825, 2132, 6936, 7531, 3698, 1292, 3890, 1384, 825, 1247, 6936, 912, 1038, 6049, 20311, 815, 3403, 3488, 11767, 513, 6049, 1297, 281, 30386, 1038, 1948, 1403, 519, 14871, 13788, 606, 8900, 5569, 281, 1401, 527, 454, 1038, 952, 6049, 20311, 2652, 1412, 12466, 2018, 2132, 454, 1038, 1948, 4530, 952, 519, 1297, 568, 4570, 454, 1038, 952, 711, 19472, 263, 7483, 20311, 2187, 2018, 1820, 18011, 763, 6049, 1297, 568, 711, 4570, 5073, 1038, 3116, 912, 2018, 1948, 1403, 519, 1297, 568, 4570, 267, 5372, 519, 4102, 7857, 609, 2473, 454, 2018, 1948, 543, 519, 2034, 4102, 609, 962, 454, 2018, 1820, 630, 7116, 1518, 263, 7483, 20311, 11723, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1292, 4590, 0, 5814, 19523, 1477, 5814, 556, 5897, 3698, 1224, 8333, 663, 18118, 6635, 7714, 28399, 825, 1477, 567, 1948, 4825, 4471, 1324, 519, 3758, 2012, 540, 519, 24290, 29905, 3667, 3758, 23228, 567, 3758, 815, 19523, 27769, 341, 314, 272, 15947, 825, 1477, 567, 1948, 5590, 519, 9949, 1297, 540, 1034, 1455, 1979, 3766, 2449, 649, 1616, 547, 4786, 1477, 567, 2462, 1090, 20311, 815, 476, 274, 1477, 825, 1477, 567, 1948, 6744, 952, 519, 3593, 16924, 3403, 513, 1297, 540, 1034, 1455, 1979, 3766, 2449, 1477, 567, 952, 7003, 4433, 903, 27769, 341, 264, 3436, 476, 273, 6769, 11434, 1477, 8587, 1948, 1403, 9811, 267, 1305, 602, 1871, 607, 519, 1297, 540, 1034, 1455, 1979, 3766, 2449, 547, 4786, 1477, 8587, 2462, 1090, 20311, 815, 19523, 27769, 341, 314, 273, 15947, 825, 1477, 567, 1948, 16376, 856, 519, 2813, 4632, 689, 519, 1599, 1477, 567, 2132, 3758, 267, 703, 6357, 580, 1090, 20311, 10142, 3698, 3341, 318, 21622, 3667, 28399, 825, 1477, 567, 1948, 8073, 519, 4632, 1477, 567, 5022, 815, 1412, 5723, 7374, 9128, 21203, 296, 297, 298, 299, 300, 301, 8008, 304, 305, 4306, 10013, 311, 312, 313, 262, 1477, 567, 10750, 3667, 815, 15234, 1477, 567, 10145, 815, 1412, 1412, 825, 1477, 825, 1477, 567, 1948, 7046, 519, 3758, 1477, 567, 3758, 12173, 815, 834, 6202, 338, 17902, 29177, 567, 10750, 18316, 815, 1930, 31526, 12173, 267, 834, 337, 14744, 825, 1477, 567, 1948, 1280, 1142, 1899, 540, 602, 3758, 1477, 567, 585, 1899, 538, 10750, 18316, 6769, 11434, 1477, 8587, 1948, 17179, 519, 3056, 543, 911, 4979, 16543, 10628, 1477, 8587, 1899, 815, 1899, 14714, 8692, 14052, 11434, 1477, 8587, 1948, 5410, 2230, 693, 519, 1439, 540, 1899, 865, 2063, 1299, 1101, 1913, 1810, 1405, 6529, 1927, 1477, 8587, 1899, 815, 1899, 266, 29734, 1477, 11434, 1477, 8587, 1948, 6744, 952, 1142, 1915, 568, 606, 21229, 12185, 1915, 610, 513, 2230, 1477, 8587, 1948, 1403, 865, 267, 1287, 1039, 621, 547, 519, 10750, 3667, 5569, 1477, 8587, 585, 669, 538, 1899, 6769, 1363, 952, 669, 18994, 10401, 28399, 2018, 10750, 3667, 6834, 669, 269, 21639, 14052, 1363, 8640, 669, 2652, 10145, 6769, 2018, 10750, 3667, 6834, 669, 1477, 825, 1477, 567, 1948, 19171, 519, 3758, 2094, 649, 1810, 1405, 991, 621, 15042, 1477, 567, 10750, 18316, 25379, 14052, 825, 1477, 567, 1948, 16376, 856, 519, 1257, 602, 3568, 1913, 543, 5624, 1152, 1477, 567, 2132, 10750, 3667, 5897, 3698, 1205, 29999, 6958, 7528, 4293, 263, 21622, 3667, 8029, 825, 1477, 567, 1948, 8073, 4756, 1477, 567, 2262, 6958, 516, 336, 18380, 815, 15079, 1477, 825, 1477, 567, 1948, 590, 5902, 519, 1257, 909, 883, 1913, 1477, 567, 10750, 3667, 815, 10750, 3667, 21858, 14052, 825, 1477, 567, 1948, 1280, 1142, 2262, 538, 519, 8237, 1257, 1477, 567, 585, 2262, 538, 10750, 3667, 6769, 11434, 1477, 8587, 1948, 1403, 621, 568, 2907, 538, 519, 8675, 267, 1287, 594, 2333, 519, 1293, 1477, 8587, 952, 2262, 538, 2262, 6958, 516, 336, 18380, 269, 12399, 28399, 1363, 2262, 6958, 516, 336, 18380, 314, 5320, 316, 6834, 476, 272, 1477, 11434, 1477, 8587, 1948, 19227, 267, 621, 781, 1007, 865, 594, 1039, 621, 547, 519, 8675, 609, 513, 1293, 540, 476, 272, 1477, 8587, 3116, 6769, 1363, 2262, 6958, 516, 336, 18380, 314, 5320, 316, 815, 476, 272, 1477, 825, 1477, 567, 1948, 16376, 856, 519, 1293, 540, 10750, 3667, 1913, 825, 1477, 567, 2132, 2262, 6958, 516, 336, 18380, 5897, 3698, 1205, 318, 21622, 3667, 10734, 28819, 263, 21622, 3667, 8029, 825, 1477, 567, 1948, 8073, 4632, 1477, 567, 10750, 3667, 5091, 5315, 815, 15079, 1477, 567, 10750, 3667, 10734, 28819, 815, 1496, 15947, 825, 1477, 567, 1948, 590, 5902, 519, 1913, 1210, 519, 5624, 1477, 567, 585, 2262, 538, 10750, 3667, 21858, 28399, 11434, 1477, 8587, 1948, 8073, 513, 4756, 547, 1612, 572, 998, 1913, 1477, 8587, 16163, 518, 815, 476, 271, 1477, 11434, 1477, 8587, 1948, 8073, 513, 23061, 547, 1612, 572, 998, 1913, 3476, 982, 476, 272, 1915, 1477, 8587, 952, 7003, 27182, 264, 3436, 476, 272, 6769, 16875, 1477, 1363, 1948, 630, 8620, 513, 23061, 547, 1612, 572, 998, 513, 2262, 547, 519, 2034, 2063, 4484, 1477, 1363, 1948, 1677, 2057, 2870, 513, 5569, 540, 1152, 476, 272, 1915, 3418, 1363, 1948, 3619, 998, 513, 2262, 1477, 1363, 1247, 16163, 518, 1341, 476, 272, 2999, 7003, 27182, 8029, 17264, 1477, 2018, 1948, 590, 5902, 2262, 883, 476, 273, 3197, 543, 1039, 873, 547, 519, 1592, 540, 2462, 2449, 1477, 2018, 10750, 3667, 10734, 28819, 6910, 27182, 314, 335, 32242, 281, 335, 32242, 266, 273, 29573, 17264, 1477, 2018, 1948, 8844, 519, 16163, 518, 936, 676, 835, 547, 1205, 519, 1985, 476, 273, 3197, 1477, 2018, 16163, 518, 6834, 476, 272, 1477, 825, 1477, 567, 1948, 1677, 5173, 519, 4908, 267, 594, 991, 547, 1205, 519, 2698, 1293, 540, 782, 1624, 675, 2325, 1477, 567, 1948, 1924, 594, 23074, 519, 2698, 1293, 540, 2462, 2449, 1477, 567, 2698, 815, 7003, 263, 21622, 3667, 10734, 28819, 3418, 825, 1477, 567, 1948, 1280, 1142, 2462, 1090, 538, 519, 2462, 1090, 1592, 1477, 567, 585, 669, 538, 10750, 3667, 10734, 28819, 6769, 11434, 1477, 8587, 1948, 1403, 621, 568, 2907, 538, 519, 8675, 540, 2462, 2449, 267, 1287, 594, 2333, 519, 1293, 1477, 8587, 952, 669, 538, 10750, 3667, 5091, 5315, 269, 12399, 28399, 1363, 10750, 3667, 5091, 5315, 314, 577, 316, 6834, 476, 272, 1477, 11434, 1477, 8587, 1948, 19227, 267, 621, 781, 1007, 865, 594, 1039, 621, 547, 519, 8675, 609, 513, 1293, 540, 476, 272, 1477, 8587, 3116, 6769, 1363, 10750, 3667, 5091, 5315, 314, 577, 316, 815, 476, 272, 1477, 825, 1477, 567, 1948, 13068, 519, 2025, 2462, 1090, 1592, 1477, 567, 10750, 3667, 10734, 28819, 815, 1496, 15947, 825, 1477, 567, 1948, 1280, 1169, 6221, 538, 519, 8675, 1477, 567, 585, 669, 538, 10750, 3667, 5091, 5315, 6769, 11434, 1477, 8587, 1948, 12433, 519, 4908, 543, 3898, 519, 1267, 1477, 8587, 10750, 3667, 5091, 5315, 314, 577, 316, 815, 834, 10065, 276, 325, 257, 260, 263, 21622, 3667, 5091, 5315, 314, 577, 316, 1315, 2698, 3418, 11434, 1477, 8587, 1948, 5410, 519, 4908, 1871, 543, 519, 2462, 1090, 547, 519, 1592, 1477, 8587, 10750, 3667, 10734, 28819, 6910, 8443, 21622, 3667, 5091, 5315, 314, 577, 3910, 577, 29573, 11434, 1477, 8587, 1948, 23037, 519, 1592, 865, 519, 5207, 4908, 1871, 568, 1101, 1477, 8587, 10750, 3667, 10734, 28819, 31699, 263, 516, 2091, 815, 6936, 3418, 825, 1477, 567, 1948, 16376, 856, 519, 2462, 1090, 4908, 1592, 1477, 567, 2132, 10750, 3667, 10734, 28819, 5897, 3698, 3341, 6831, 8327, 3667, 31526, 12173, 8029, 825, 1477, 567, 1948, 8073, 4756, 1477, 567, 29905, 8217, 815, 1496, 15947, 825, 1477, 567, 1948, 7046, 519, 3758, 1477, 567, 3758, 815, 1930, 31526, 12173, 267, 834, 337, 14744, 825, 1477, 567, 1948, 1280, 1142, 1899, 538, 602, 3758, 1477, 567, 585, 1899, 538, 3758, 6769, 11434, 1477, 8587, 1948, 17179, 519, 3056, 543, 911, 4979, 16543, 335, 2167, 1477, 8587, 1899, 815, 1899, 14714, 8692, 14052, 11434, 1477, 8587, 1948, 3474, 572, 998, 519, 1899, 543, 1491, 1079, 476, 273, 3197, 513, 942, 543, 1477, 8587, 1948, 5410, 547, 519, 29905, 2462, 1090, 1592, 1477, 8587, 29905, 8217, 815, 1496, 1467, 5157, 281, 328, 266, 273, 316, 585, 1775, 538, 2039, 263, 271, 267, 7003, 263, 1467, 1070, 273, 13580, 1477, 825, 1477, 567, 1948, 1677, 5173, 519, 4908, 267, 594, 991, 547, 1205, 519, 2698, 1293, 540, 782, 1624, 675, 2325, 1477, 567, 1948, 1924, 594, 23074, 519, 2698, 1293, 540, 2462, 2449, 689, 29905, 3667, 1477, 567, 2698, 815, 7003, 6262, 8327, 8217, 3418, 825, 1477, 567, 1948, 19171, 519, 3758, 2094, 649, 1810, 1405, 991, 621, 15042, 23228, 567, 3758, 25379, 14052, 825, 1477, 567, 1948, 16376, 856, 519, 2698, 2179, 540, 2462, 2449, 543, 519, 2462, 1090, 1592, 1477, 567, 2132, 2698, 267, 29905, 8217, 5897, 3698, 1205, 6831, 8327, 10734, 28819, 6025, 4973, 267, 29905, 8217, 8029, 825, 1477, 567, 1948, 8073, 4756, 1477, 567, 29905, 5091, 5315, 815, 15079, 1477, 825, 1477, 567, 1948, 1280, 1142, 2462, 1090, 538, 519, 1592, 540, 29905, 2462, 2449, 1477, 567, 585, 669, 538, 29905, 8217, 6769, 11434, 1477, 8587, 1948, 1403, 621, 568, 2907, 538, 519, 8675, 267, 1287, 594, 2333, 519, 1293, 1477, 8587, 952, 669, 538, 29905, 5091, 5315, 269, 12399, 28399, 1363, 29905, 5091, 5315, 314, 577, 316, 6834, 476, 272, 1477, 11434, 1477, 8587, 1948, 19227, 267, 621, 781, 1007, 865, 594, 1039, 621, 547, 519, 8675, 609, 513, 1293, 540, 476, 272, 1477, 8587, 3116, 6769, 1363, 29905, 5091, 5315, 314, 577, 316, 815, 476, 272, 1477, 825, 1477, 567, 1948, 13068, 519, 2025, 29905, 2462, 1090, 1592, 1477, 567, 29905, 8217, 815, 1496, 15947, 825, 1477, 567, 1948, 1280, 1169, 6221, 538, 519, 8675, 1477, 567, 585, 669, 538, 29905, 5091, 5315, 6769, 11434, 1477, 8587, 1948, 12433, 519, 4908, 543, 3898, 519, 1267, 1477, 8587, 29905, 5091, 5315, 314, 577, 316, 815, 834, 10065, 276, 325, 257, 260, 263, 322, 8327, 5091, 5315, 314, 577, 316, 1315, 2698, 3418, 11434, 1477, 8587, 1948, 5410, 519, 4908, 1871, 543, 519, 2462, 1090, 547, 519, 1592, 1477, 8587, 29905, 8217, 6910, 8443, 322, 8327, 5091, 5315, 314, 577, 3910, 577, 29573, 11434, 1477, 8587, 1948, 23037, 519, 1592, 865, 519, 5207, 4908, 1871, 568, 1101, 1477, 8587, 29905, 8217, 31699, 263, 516, 2091, 815, 6936, 3418, 825, 1477, 567, 1948, 16376, 856, 519, 29905, 2462, 1090, 12451, 1477, 567, 2132, 29905, 8217, 5897, 3698, 4786, 10734, 28819, 263, 21622, 3667, 8217, 267, 29905, 8217, 267, 715, 8029, 825, 1477, 567, 1948, 8073, 4756, 1477, 567, 4786, 5091, 5315, 815, 15079, 1477, 825, 1477, 567, 1948, 8073, 513, 1293, 547, 4783, 998, 519, 1871, 540, 715, 2053, 1477, 567, 1948, 715, 14687, 547, 519, 1283, 715, 2179, 540, 29905, 543, 10750, 3667, 2462, 2449, 21506, 567, 1948, 1284, 1616, 547, 12314, 1927, 1477, 825, 1477, 567, 585, 1293, 538, 2039, 630, 271, 267, 703, 18217, 264, 8029, 11434, 1477, 8587, 1948, 1280, 1142, 1293, 267, 1039, 519, 2462, 1090, 689, 519, 29905, 1592, 602, 1477, 8587, 1948, 14687, 547, 519, 4994, 2990, 540, 519, 1293, 607, 519, 8675, 1883, 1477, 8587, 1948, 1477, 8587, 1948, 5410, 519, 2462, 1090, 689, 519, 10750, 1592, 602, 14687, 547, 519, 4994, 1477, 8587, 1948, 2990, 540, 519, 1293, 607, 519, 8675, 1871, 1477, 11434, 1477, 8587, 1948, 23184, 3201, 284, 21133, 32671, 2462, 1090, 538, 29905, 1592, 547, 32671, 2462, 1090, 538, 10750, 1592, 1477, 8587, 4786, 5091, 5315, 314, 322, 8327, 8217, 314, 12248, 6012, 272, 14963, 815, 10750, 3667, 8217, 314, 12248, 6012, 272, 15947, 825, 1477, 567, 1948, 16376, 856, 519, 8675, 540, 25528, 2462, 2449, 1477, 567, 2132, 4786, 5091, 5315, 5897, 3698, 1711, 29999, 10734, 1678, 28399, 825, 1477, 567, 1948, 8073, 1592, 547, 3403, 519, 1913, 1477, 567, 2262, 10734, 1678, 815, 1496, 15947, 825, 1477, 567, 1948, 7046, 519, 3758, 1477, 567, 3758, 815, 1930, 2891, 5320, 4289, 17902, 14824, 337, 14744, 825, 1477, 567, 1948, 1280, 1142, 2262, 538, 513, 1899, 1477, 567, 585, 1899, 538, 3758, 6769, 11434, 1477, 8587, 1948, 17179, 1022, 3056, 610, 911, 4979, 16543, 335, 2167, 1477, 8587, 1899, 815, 1899, 14714, 8692, 14052, 11434, 1477, 8587, 1948, 5410, 547, 519, 1592, 540, 1913, 1477, 8587, 2262, 10734, 1678, 6910, 263, 1467, 3418, 825, 1477, 567, 1948, 19171, 519, 3758, 2094, 649, 616, 1631, 8737, 1210 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 815, 17332, 454, 2018, 17332, 4877, 1861, 815, 1582, 4732, 550, 514, 601, 454, 1038, 1948, 901, 3762, 721, 609, 513, 4570, 645, 4306, 267, 855, 711, 2141, 609, 4570, 681, 289, 2389, 872, 563, 1038, 1948, 1403, 519, 9241, 17332, 6843, 814, 513, 2699, 2385, 267, 649, 723, 26991, 519, 454, 1038, 1948, 4341, 602, 2699, 9136, 1590, 723, 2699, 1453, 563, 1038, 1582, 27044, 293, 1460, 1575, 263, 12133, 539, 994, 1038, 2132, 6936, 692, 825, 1219, 9041, 3847, 305, 582, 622, 4311, 267, 1699, 11966, 2187, 1038, 15981, 3097, 1038, 9524, 513, 2451, 10047, 689, 513, 2016, 6843, 454, 1038, 23288, 1038, 1948, 32114, 519, 1699, 27161, 781, 1318, 1126, 568, 711, 562, 650, 267, 649, 1616, 547, 1847, 454, 1038, 1948, 621, 1412, 629, 913, 262, 1699, 27161, 538, 519, 3529, 1247, 4509, 519, 3406, 454, 1038, 1948, 3959, 269, 3097, 1038, 1948, 594, 6999, 594, 1223, 723, 2219, 540, 930, 1732, 4756, 4408, 2676, 1038, 1948, 855, 621, 729, 19599, 2352, 865, 594, 1175, 4682, 609, 519, 15007, 454, 1038, 1948, 789, 946, 538, 519, 14160, 305, 261, 306, 1837, 269, 3097, 1038, 586, 815, 1699, 11966, 16192, 21609, 454, 1038, 952, 586, 18994, 306, 550, 1400, 10031, 2018, 2132, 454, 1038, 1699, 11966, 16192, 21609, 815, 586, 16000, 21609, 454, 1038, 1948, 1403, 586, 814, 513, 2451, 7936, 649, 991, 547, 1847, 621, 547, 519, 1318, 540, 1699, 11966, 454, 1038, 952, 711, 586, 16000, 21609, 18994, 306, 550, 1400, 10031, 2018, 586, 16000, 21609, 4877, 1861, 815, 1699, 11966, 454, 1038, 1948, 634, 1985, 1899, 2394, 519, 1439, 540, 519, 3116, 3948, 13976, 519, 454, 1038, 1948, 2385, 1126, 7681, 1063, 586, 543, 1699, 6843, 781, 2385, 454, 1038, 586, 4877, 1861, 815, 1699, 11966, 4877, 1861, 454, 1038, 952, 1699, 11966, 4877, 1861, 18994, 306, 550, 1400, 10031, 2018, 1582, 11519, 10174, 815, 586, 454, 2018, 586, 4877, 1861, 815, 1582, 4732, 550, 514, 601, 454, 1038, 8640, 1699, 11966, 18994, 29381, 21609, 10031, 2018, 1699, 11966, 4877, 1861, 16000, 21609, 815, 586, 454, 1038, 3116, 912, 2018, 1699, 11966, 4877, 1861, 16192, 21609, 815, 586, 454, 1038, 1948, 3767, 267, 649, 2030, 1699, 11966, 547, 519, 2451, 540, 586, 563, 1038, 586, 16000, 21609, 815, 1699, 11966, 454, 1038, 1699, 11966, 4877, 1861, 815, 586, 692, 825, 1219, 9041, 2431, 305, 582, 622, 4311, 267, 1699, 11966, 2187, 1038, 15981, 3097, 1038, 9524, 513, 1318, 10047, 689, 513, 2016, 6843, 454, 1038, 23288, 1038, 1948, 32114, 519, 1699, 27161, 781, 2451, 1126, 568, 711, 562, 650, 267, 649, 1616, 547, 1847, 454, 1038, 1948, 621, 1412, 629, 913, 262, 1699, 27161, 538, 519, 3529, 1247, 4509, 519, 3406, 454, 1038, 1948, 3959, 563, 1038, 586, 815, 1699, 11966, 16000, 21609, 454, 1038, 952, 586, 18994, 306, 550, 1400, 10031, 2018, 2132, 454, 1038, 1699, 11966, 16000, 21609, 815, 586, 16192, 21609, 454, 1038, 1948, 1403, 586, 814, 513, 1318, 7936, 649, 991, 547, 1847, 621, 547, 519, 2451, 540, 1699, 11966, 563, 1038, 952, 711, 586, 16192, 21609, 18994, 306, 550, 1400, 10031, 2018, 586, 16192, 21609, 4877, 1861, 815, 1699, 11966, 454, 1038, 1948, 634, 1985, 1899, 2394, 519, 1439, 540, 519, 3116, 3948, 13976, 519, 454, 1038, 1948, 2385, 1126, 7681, 1063, 586, 543, 1699, 6843, 781, 2385, 563, 1038, 586, 4877, 1861, 815, 1699, 11966, 4877, 1861, 454, 1038, 952, 1699, 11966, 4877, 1861, 18994, 306, 550, 1400, 10031, 2018, 1582, 11519, 10174, 815, 586, 454, 1038, 8640, 1699, 11966, 18994, 29381, 21609, 10031, 2018, 1699, 11966, 4877, 1861, 16000, 21609, 815, 586, 454, 1038, 3116, 912, 2018, 1699, 11966, 4877, 1861, 16192, 21609, 815, 586, 454, 1038, 1948, 3767, 267, 649, 2030, 1699, 11966, 547, 519, 1318, 540, 586, 563, 1038, 586, 16192, 21609, 815, 1699, 11966, 454, 1038, 1699, 11966, 4877, 1861, 815, 586, 692, 825, 1219, 1265, 11966, 4311, 267, 19044, 2839, 2187, 1038, 23288, 1038, 16849, 6843, 9138, 676, 19044, 2839, 952, 621, 6818, 267, 543, 8771, 6382, 563, 1038, 23288, 1038, 1336, 815, 8771, 454, 1038, 1699, 11966, 815, 1582, 11519, 10174, 454, 1038, 1948, 3619, 1141, 519, 3406, 3959, 6645, 596, 547, 2394, 596, 1265, 513, 544, 2286, 454, 1038, 1948, 6843, 610, 513, 6978, 563, 1038, 1247, 1699, 11966, 568, 711, 7183, 543, 711, 1699, 11966, 18994, 306, 550, 1400, 10031, 2018, 952, 1699, 11966, 269, 4486, 2652, 19044, 2839, 912, 3546, 1336, 815, 1699, 11966, 454, 3546, 2736, 454, 2018, 952, 1699, 11966, 269, 4486, 3436, 19044, 2839, 912, 3546, 1699, 11966, 815, 1699, 11966, 16000, 21609, 454, 2018, 3116, 912, 3546, 1699, 11966, 815, 1699, 11966, 16192, 21609, 454, 1038, 2132, 1336, 692, 825, 1219, 7696, 293, 1460, 1575, 4311, 267, 1699, 11966, 2187, 1038, 23288, 1038, 1323, 4835, 1505, 547, 2226, 2699, 15918, 871, 3601, 1310, 7696, 687, 454, 1038, 616, 840, 11526, 454, 1038, 23288, 1038, 1247, 1699, 11966, 4877, 1861, 568, 711, 7183, 543, 1699, 11966, 4877, 1861, 269, 10233, 2652, 1412, 1042, 12466, 2018, 952, 1699, 11966, 4877, 1861, 18994, 29381, 21609, 10031, 3546, 1948, 8865, 281, 1699, 11966, 814, 513, 2699, 11515, 563, 3546, 586, 815, 1699, 11966, 4877, 1861, 4877, 1861, 16192, 21609, 454, 3546, 952, 586, 269, 10233, 2652, 1412, 1042, 12466, 7386, 1699, 11966, 4877, 1861, 269, 10233, 815, 1412, 18872, 7055, 7386, 586, 269, 10233, 815, 1412, 18872, 7055, 7386, 1699, 11966, 4877, 1861, 4877, 1861, 269, 10233, 815, 1412, 1042, 7055, 7386, 1699, 11966, 815, 1699, 11966, 4877, 1861, 4877, 1861, 454, 3546, 3116, 912, 7386, 952, 1699, 11966, 18994, 14738, 21609, 10031, 3546, 1948, 8865, 281, 1699, 11966, 814, 513, 3109, 11515, 543, 1699, 11966, 568, 513, 3097, 3546, 1948, 1318, 1126, 563, 13376, 1699, 11966, 815, 1699, 11966, 4877, 1861, 454, 13376, 1582, 11519, 3847, 305, 582, 622, 263, 9690, 11966, 994, 3546, 1948, 8865, 281, 1699, 11966, 814, 513, 3109, 11515, 543, 1699, 11966, 568, 513, 454, 3546, 1948, 2451, 1126, 563, 7386, 1699, 11966, 4877, 1861, 269, 10233, 815, 1412, 18872, 7055, 7386, 1699, 11966, 4877, 1861, 4877, 1861, 269, 10233, 815, 1412, 1042, 7055, 7386, 1582, 11519, 2431, 305, 582, 622, 263, 9690, 11966, 4877, 1861, 4877, 1861, 994, 2018, 3116, 912, 3546, 1948, 2353, 540, 519, 2665, 1141, 1699, 11966, 781, 2385, 568, 513, 1318, 1126, 454, 3546, 1948, 616, 11604, 2592, 540, 2665, 1141, 1699, 11966, 781, 2385, 568, 513, 454, 3546, 1948, 2451, 1126, 269, 3097, 3546, 586, 815, 1699, 11966, 4877, 1861, 4877, 1861, 16000, 21609, 454, 3546, 952, 586, 269, 10233, 2652, 1412, 1042, 12466, 7386, 1699, 11966, 4877, 1861, 269, 10233, 815, 1412, 18872, 7055, 7386, 586, 269, 10233, 815, 1412, 18872, 7055, 7386, 1699, 11966, 4877, 1861, 4877, 1861, 269, 10233, 815, 1412, 1042, 7055, 7386, 1699, 11966, 815, 1699, 11966, 4877, 1861, 4877, 1861, 454, 3546, 3116, 912, 7386, 952, 1699, 11966, 18994, 29381, 21609, 10031, 13376, 1699, 11966, 815, 1699, 11966, 4877, 1861, 454, 13376, 1582, 11519, 2431, 305, 582, 622, 263, 9690, 11966, 994, 7386, 1699, 11966, 4877, 1861, 269, 10233, 815, 1412, 18872, 7055, 7386, 1699, 11966, 4877, 1861, 4877, 1861, 269, 10233, 815, 1412, 1042, 7055, 7386, 1582, 11519, 3847, 305, 582, 622, 263, 9690, 11966, 4877, 1861, 4877, 1861, 994, 1038, 1582, 11519, 10174, 269, 10233, 815, 1412, 18872, 28847, 825, 1219, 18419, 293, 1460, 1575, 4311, 267, 1699, 11966, 2187, 1038, 23288, 1038, 901, 1505, 1964, 2803, 2699, 3109, 3529, 3601, 602, 949, 581, 26991, 454, 1038, 1282, 6843, 25533, 687, 563, 1038, 23288, 1038, 1247, 1699, 11966, 11203, 1582, 11519, 10174, 543, 1699, 11966, 269, 10233, 2652, 1412, 18872, 12466, 2018, 952, 1699, 11966, 18994, 29381, 21609, 10031, 3546, 1948, 8865, 281, 1699, 11966, 814, 513, 2699, 24107, 454, 3546, 530, 815, 1699, 11966, 4877, 1861, 16192, 21609, 454, 3546, 952, 530, 269, 10233, 2652, 1412, 1042, 12466, 7386, 530, 269, 10233, 815, 1412, 18872, 7055, 7386, 1699, 11966, 4877, 1861, 269, 10233, 815, 1412, 1042, 7055, 7386, 1582, 11519, 3847, 305, 582, 622, 263, 9690, 11966, 4877, 1861, 994, 7386, 530, 815, 1699, 11966, 4877, 1861, 16192, 21609, 454, 3546, 952, 630, 342, 16000, 21609, 543, 530, 16000, 21609, 269, 10233, 2652, 1412, 18872, 262, 543, 3097, 13376, 530, 16192, 21609, 543, 530, 16192, 21609, 269, 10233, 2652, 1412, 18872, 262, 2187, 7386, 1948, 8865, 281, 1699, 11966, 814, 513, 3109, 24107, 609, 3109, 1453, 454, 7386, 530, 269, 10233, 815, 1412, 1042, 7055, 7386, 1699, 11966, 815, 1699, 11966, 4877, 1861, 454, 3546, 3116, 912, 7386, 952, 530, 16192, 21609, 543, 530, 16192, 21609, 269, 10233, 2652, 1412, 18872, 12466, 7386, 1948, 8865, 281, 1699, 11966, 814, 513, 3109, 24107, 609, 1114, 454, 7386, 1948, 11954, 1453, 563, 13376, 530, 16000, 21609, 269, 10233, 815, 1412, 18872, 7055, 13376, 530, 269, 10233, 815, 1412, 1042, 7055, 13376, 1582, 11519, 2431, 305, 582, 622, 26028, 994, 13376, 530, 815, 1699, 11966, 4877, 1861, 16192, 21609, 454, 7386, 1948, 8865, 281, 1699, 11966, 814, 513, 3109, 24107, 609, 2699, 1453, 454, 7386, 530, 269, 10233, 815, 1699, 11966, 4877, 1861, 269, 10233, 454, 7386, 1699, 11966, 4877, 1861, 269, 10233, 815, 1412, 18872, 7055, 7386, 952, 530, 16192, 21609, 912, 13376, 530, 16192, 21609, 269, 10233, 815, 1412, 18872, 7055, 7386, 1582, 11519, 3847, 305, 582, 622, 263, 9690, 11966, 4877, 1861, 994, 7386, 1699, 11966, 815, 1582, 11519, 10174, 454, 2018, 3116, 912, 7386, 1948, 1879, 1699, 11966, 568, 513, 3109, 1126, 267, 782, 2665, 616, 11604, 454, 7386, 1948, 2592, 540, 950, 1699, 11966, 568, 513, 2451, 1126, 454, 3546, 530, 815, 1699, 11966, 4877, 1861, 16000, 21609, 454, 3546, 952, 530, 269, 10233, 2652, 1412, 1042, 12466, 7386, 530, 269, 10233, 815, 1412, 18872, 7055, 7386, 1699, 11966, 4877, 1861, 269, 10233, 815, 1412, 1042, 7055, 7386, 1582, 11519, 2431, 305, 582, 622, 263, 9690, 11966, 4877, 1861, 994, 7386, 530, 815, 1699, 11966, 4877, 1861, 16000, 21609, 454, 3546, 952, 630, 342, 16000, 21609, 543, 530, 16192, 21609, 269, 10233, 2652, 1412, 18872, 262, 543, 3097, 13376, 530, 16000, 21609, 543, 530, 16000, 21609, 269, 10233, 2652, 1412, 18872, 262, 2187, 7386, 530, 269, 10233, 815, 1412, 1042, 7055, 7386, 1699, 11966, 815, 1699, 11966, 4877, 1861, 454, 3546, 3116, 912, 7386, 952, 530, 16000, 21609, 543, 530, 16000, 21609, 269, 10233, 2652, 1412, 18872, 12466, 13376, 530, 16192, 21609, 269, 10233, 815, 1412, 18872, 7055, 13376, 530, 269, 10233, 815, 1412, 1042, 7055, 13376, 1582, 11519, 3847, 305, 582, 622, 26028, 994, 13376, 530, 815, 1699, 11966, 4877, 1861, 16000, 21609, 454, 7386, 530, 269, 10233, 815, 1699, 11966, 4877, 1861, 269, 10233, 454, 7386, 1699, 11966, 4877, 1861, 269, 10233, 815, 1412, 18872, 7055, 7386, 952, 530, 16000, 21609, 912, 13376, 530, 16000, 21609, 269, 10233, 815, 1412, 18872, 7055, 7386, 1582, 11519, 2431, 305, 582, 622, 263, 9690, 11966, 4877, 1861, 994, 7386, 1699, 11966, 815, 1582, 11519, 10174, 454, 1038, 1699, 11966, 269, 10233, 815, 1412, 18872, 7055, 1038, 2132, 3097, 0, 258, 14343, 9339, 258, 1477, 258, 15937, 10794, 26643, 4449, 19930, 1948, 1477, 258, 1635, 281, 6599, 534, 2098, 2129, 541, 4449, 23526, 1948, 1477, 258, 4873, 476, 866, 267, 476, 1001, 278, 4449, 3546, 1948, 1477, 258, 4591, 1091, 782, 540, 519, 5049, 585, 1250, 3803, 3014, 567, 1948, 1477, 258, 14343, 9339, 258, 5897, 5814, 4351, 607, 678, 8587, 1948, 7383, 338, 1031, 1477, 5814, 2979, 17264, 1948, 3525, 2737, 5897, 258, 5785, 24801, 9339, 268, 258, 5897, 5035, 13379, 24998, 8029, 825, 5727, 589, 3625, 602, 8813, 689, 519, 6607, 11318, 519, 6345, 1477, 1038, 1239, 281, 4449, 19930, 7180, 6769, 2018, 1535, 910, 1535, 4449, 19930, 2638, 291, 1886, 1477, 2018, 586, 910, 586, 4449, 19930, 6749, 1477, 2018, 2107, 326, 311, 910, 22731, 1535, 25639, 3142, 2414, 12749, 1477, 2018, 2107, 326, 312, 910, 22731, 586, 25639, 16580, 1477, 2018, 1533, 910, 9991, 610, 711, 16875, 8571, 1477, 2018, 3280, 910, 4730, 513, 3280, 610, 711, 1477, 825, 5727, 1477, 825, 1219, 6449, 8181, 9191, 1345, 267, 13307, 267, 21870, 1125, 8029, 1038, 630, 343, 11971, 267, 3068, 264, 815, 13307, 1477, 1038, 1535, 2608, 284, 21870, 1125, 1477, 1038, 586, 2608, 284, 21870, 1125, 1477, 1038, 1582, 11859, 815, 1535, 1477, 1038, 1582, 13885, 815, 586, 1477, 1038, 1582, 269, 7775, 326, 311, 815, 1535, 1477, 1038, 1582, 269, 7775, 326 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 910, 20734, 273, 264, 1107, 630, 274, 18414, 273, 1341, 20734, 274, 19422, 18414, 274, 910, 20734, 273, 2020, 284, 630, 274, 18414, 274, 1341, 20734, 273, 910, 476, 274, 18414, 273, 910, 20734, 274, 19422, 20734, 274, 910, 20734, 273, 2020, 284, 630, 273, 18414, 274, 910, 476, 273, 18414, 273, 19422, 18414, 274, 910, 20734, 273, 2020, 284, 476, 273, 263, 18414, 274, 910, 20734, 273, 19422, 18414, 274, 910, 20734, 273, 2020, 284, 476, 273, 692, 1015, 269, 1403, 1535, 815, 630, 275, 18414, 277, 19422, 20734, 273, 1341, 20734, 274, 264, 1265, 519, 1871, 540, 630, 343, 1341, 476, 273, 18414, 273, 19422, 343, 910, 476, 273, 18414, 273, 264, 1341, 630, 343, 1341, 476, 273, 18414, 274, 19422, 343, 910, 476, 273, 18414, 274, 2020, 343, 815, 630, 275, 18414, 277, 19422, 20734, 273, 1341, 20734, 274, 2020, 22382, 630, 275, 18414, 273, 6398, 20734, 274, 19422, 20734, 273, 1341, 20734, 274, 2020, 343, 14370, 273, 18414, 273, 264, 815, 630, 273, 18414, 274, 19422, 18414, 273, 1341, 20734, 274, 2020, 28274, 2499, 754, 334, 543, 26318, 334, 10484, 3287, 1341, 476, 273, 18414, 273, 19422, 343, 910, 476, 273, 18414, 273, 264, 815, 630, 273, 18414, 274, 1341, 20734, 273, 1341, 20734, 274, 19422, 273, 18414, 274, 910, 20734, 273, 910, 20734, 274, 2020, 284, 630, 274, 18414, 274, 1341, 20734, 273, 19422, 18414, 274, 910, 20734, 273, 264, 3267, 263, 328, 2020, 26139, 1535, 14370, 273, 18414, 274, 264, 815, 630, 273, 18414, 273, 19422, 18414, 273, 1341, 20734, 274, 2020, 28274, 2499, 754, 334, 543, 26318, 334, 10484, 3287, 1341, 476, 273, 18414, 274, 19422, 343, 910, 476, 273, 18414, 274, 264, 815, 630, 273, 18414, 273, 1341, 20734, 273, 1341, 20734, 274, 19422, 273, 18414, 273, 910, 20734, 273, 910, 20734, 274, 2020, 284, 630, 274, 18414, 273, 1341, 20734, 274, 19422, 18414, 273, 910, 20734, 274, 264, 3267, 263, 4512, 2020, 3287, 1341, 476, 273, 18414, 273, 19422, 343, 910, 476, 273, 18414, 273, 264, 1341, 630, 343, 1341, 476, 273, 18414, 274, 19422, 343, 910, 476, 273, 18414, 274, 2020, 284, 630, 274, 18414, 274, 1341, 20734, 273, 19422, 18414, 274, 910, 20734, 273, 264, 1341, 630, 274, 18414, 273, 1341, 20734, 274, 19422, 20734, 273, 910, 20734, 274, 2020, 284, 630, 274, 18414, 274, 1341, 20734, 273, 19422, 20734, 274, 910, 20734, 273, 264, 1107, 630, 274, 18414, 273, 1341, 20734, 274, 19422, 18414, 274, 910, 20734, 273, 2020, 284, 630, 274, 18414, 274, 1341, 20734, 273, 910, 476, 274, 18414, 273, 910, 20734, 274, 19422, 20734, 274, 910, 20734, 273, 2020, 284, 630, 273, 18414, 274, 910, 476, 273, 18414, 273, 19422, 18414, 274, 910, 20734, 273, 2020, 284, 476, 273, 263, 18414, 274, 910, 20734, 273, 19422, 18414, 274, 910, 20734, 273, 2020, 284, 476, 273, 692, 1556, 780, 263, 3607, 343, 1341, 476, 272, 19422, 3607, 343, 264, 815, 476, 1839, 270, 1626, 692, 22382, 476, 3607, 343, 6398, 476, 1839, 815, 476, 1626, 263, 3607, 343, 1341, 476, 272, 2020, 22382, 476, 12010, 343, 815, 476, 6872, 277, 343, 1341, 476, 1626, 692, 22382, 476, 12010, 343, 1107, 476, 6872, 277, 343, 815, 476, 1626, 692, 22382, 476, 27844, 343, 815, 476, 1626, 692, 30043, 1535, 815, 476, 1626, 270, 27844, 692, 284, 476, 275, 270, 10037, 692, 1321, 269, 4635, 3601, 540, 3601, 267, 1265, 1535, 689, 519, 1739, 4834, 1384, 11405, 692, 306, 638, 2130, 1312, 5011, 692, 263, 273, 1107, 1535, 19422, 273, 1341, 1535, 264, 815, 476, 275, 270, 272, 692, 22382, 476, 279, 1341, 476, 275, 343, 815, 476, 273, 1107, 1535, 692, 275, 343, 1341, 1535, 815, 476, 273, 1107, 476, 279, 692, 22382, 476, 276, 343, 815, 910, 476, 277, 692, 30043, 1535, 815, 910, 277, 270, 276, 692, 306, 638, 2130, 1312, 5011, 10484, 3287, 1341, 476, 275, 19422, 343, 1107, 476, 1015, 264, 815, 476, 5392, 270, 280, 692, 22382, 476, 5392, 343, 1107, 476, 275, 3445, 815, 476, 280, 343, 1341, 476, 3607, 692, 22382, 476, 5392, 343, 1107, 476, 280, 343, 815, 476, 3607, 1341, 476, 275, 3445, 692, 22382, 476, 2412, 343, 815, 476, 276, 2918, 692, 30043, 1535, 815, 476, 276, 2918, 270, 2412, 692, 284, 476, 28091, 270, 736, 692, 306, 638, 2130, 1312, 5011, 267, 630, 272, 1341, 1535, 19422, 272, 1107, 1535, 264, 815, 630, 320, 1341, 536, 264, 273, 14370, 320, 1107, 536, 264, 273, 692, 26139, 7311, 2499, 754, 334, 543, 26318, 334, 10484, 263, 272, 1341, 1535, 1341, 476, 272, 1107, 1535, 19422, 272, 1341, 1535, 1107, 476, 272, 1341, 1535, 264, 815, 2715, 263, 320, 1341, 536, 264, 273, 1341, 630, 320, 1107, 536, 264, 273, 348, 270, 18950, 320, 1341, 536, 264, 273, 1107, 630, 320, 1107, 536, 264, 273, 10926, 22382, 476, 273, 270, 273, 343, 815, 476, 273, 5416, 273, 1341, 536, 273, 8358, 275, 629, 692, 22382, 476, 272, 24474, 815, 630, 320, 273, 1341, 536, 273, 8358, 273, 629, 692, 30043, 1535, 815, 476, 273, 629, 14370, 320, 273, 1341, 536, 273, 2020, 306, 638, 2130, 1312, 5011, 267, 630, 1321, 343, 1341, 476, 272, 19422, 273, 343, 1107, 476, 274, 264, 815, 476, 1839, 270, 272, 692, 22382, 476, 2004, 343, 1107, 476, 4037, 815, 476, 1321, 343, 1341, 476, 272, 692, 22382, 476, 2004, 343, 1107, 476, 1321, 343, 815, 476, 272, 1341, 476, 4037, 692, 306, 638, 2130, 1312, 5011, 692, 280, 343, 273, 14370, 280, 343, 273, 1107, 476, 276, 264, 815, 476, 280, 270, 275, 692, 22382, 476, 10037, 343, 273, 1107, 476, 3393, 815, 476, 3607, 343, 273, 815, 476, 3393, 692, 22382, 476, 3393, 1535, 273, 815, 476, 3393, 692, 22382, 1535, 273, 815, 476, 272, 692, 22382, 1535, 815, 13008, 476, 272, 692, 30043, 1535, 815, 476, 272, 267, 910, 476, 272, 692, 13425, 2433, 630, 320, 264, 1879, 1535, 815, 476, 272, 267, 1287, 538, 519, 2016, 3830, 692, 284, 630, 274, 1341, 20734, 275, 19422, 274, 910, 20734, 275, 2020, 284, 630, 274, 1341, 476, 273, 19422, 274, 1107, 476, 273, 2020, 284, 476, 276, 270, 272, 799, 568, 2016, 692, 30043, 1535, 815, 476, 272, 692, 6357, 264, 1879, 1535, 815, 910, 476, 272, 267, 1287, 692, 284, 11196, 476, 274, 1341, 20734, 275, 8358, 8987, 476, 274, 910, 20734, 275, 2020, 284, 11196, 274, 1341, 476, 273, 8358, 8987, 476, 274, 1107, 476, 273, 2020, 284, 910, 476, 272, 25773, 476, 276, 692, 284, 476, 272, 270, 276, 9881, 510, 476, 276, 270, 272, 692, 30043, 1535, 815, 910, 476, 272, 568, 711, 922, 3070, 780, 17798, 1535, 815, 476, 272, 692, 306, 638, 2130, 1312, 5011, 630, 320, 1341, 1535, 19422, 320, 1107, 1535, 264, 815, 630, 322, 1341, 546, 264, 273, 14370, 322, 1107, 546, 264, 273, 692, 26139, 7311, 2499, 754, 334, 543, 26318, 522, 692, 5416, 1341, 1535, 1341, 513, 1107, 1535, 19422, 320, 1341, 1535, 1107, 513, 1341, 1535, 264, 815, 2715, 263, 322, 1341, 546, 264, 273, 1107, 630, 322, 1107, 546, 264, 273, 348, 270, 18950, 322, 1341, 546, 264, 273, 1107, 630, 322, 1107, 546, 264, 273, 10926, 22382, 476, 273, 320, 270, 273, 343, 815, 476, 273, 6262, 273, 1341, 546, 273, 8358, 275, 7251, 692, 22382, 513, 24474, 815, 630, 322, 273, 1341, 546, 273, 8358, 273, 7251, 692, 22382, 1535, 6262, 273, 1341, 546, 273, 264, 815, 476, 273, 659, 323, 692, 22382, 1535, 815, 476, 273, 659, 323, 14370, 322, 273, 1341, 546, 273, 2020, 1724, 269, 4635, 3601, 540, 8167, 267, 4194, 585, 1535, 269, 9717, 602, 1535, 568, 2318, 780, 306, 638, 2130, 1312, 5011, 692, 280, 343, 273, 14370, 280, 343, 273, 1107, 476, 276, 264, 815, 476, 280, 270, 275, 692, 22382, 476, 10037, 343, 273, 1107, 476, 3393, 815, 476, 3607, 343, 273, 692, 22382, 476, 10037, 343, 273, 1107, 476, 3607, 343, 273, 815, 476, 3393, 692, 22382, 476, 3393, 343, 273, 815, 476, 3393, 692, 22382, 1535, 273, 815, 476, 272, 692, 22382, 1535, 815, 13008, 476, 272, 692, 30043, 1535, 815, 476, 272, 267, 910, 476, 272, 692, 13425, 2433, 630, 320, 264, 1879, 1535, 815, 476, 272, 267, 1287, 538, 519, 2016, 3830, 692, 284, 630, 274, 1341, 20734, 275, 19422, 274, 910, 20734, 275, 2020, 284, 630, 274, 1341, 476, 273, 19422, 274, 1107, 476, 273, 2020, 284, 476, 276, 270, 272, 799, 568, 2016, 692, 30043, 1535, 815, 476, 272, 692, 1691, 269, 16534, 630, 272, 1341, 1535, 1341, 1109, 343, 273, 19422, 272, 1107, 1535, 1341, 1109, 343, 273, 264, 815, 2715, 7830, 263, 272, 1341, 1535, 14587, 270, 346, 8287, 263, 272, 1107, 1535, 264, 10926, 263, 272, 1341, 1535, 1341, 1535, 273, 19422, 272, 1107, 1535, 1341, 1535, 273, 264, 815, 2715, 7830, 263, 272, 1341, 1535, 14587, 270, 346, 8287, 263, 272, 1107, 1535, 264, 10926, 22382, 630, 272, 1107, 1535, 7565, 272, 1341, 1535, 1341, 1535, 273, 19422, 272, 1341, 1535, 7565, 272, 1107, 1535, 1341, 1535, 273, 264, 815, 476, 7830, 270, 8287, 692, 22382, 630, 272, 1341, 1535, 274, 19422, 272, 1107, 1535, 274, 264, 815, 476, 8287, 270, 7830, 692, 28274, 2499, 754, 334, 543, 26318, 334, 10484, 263, 272, 1341, 1535, 274, 1341, 476, 272, 1107, 1535, 274, 19422, 272, 1341, 1535, 274, 1107, 476, 272, 1341, 1535, 274, 264, 815, 630, 8287, 1341, 476, 7830, 19422, 8287, 1107, 476, 7830, 2020, 22382, 476, 273, 14370, 273, 343, 274, 264, 815, 476, 10219, 270, 272, 692, 22382, 476, 272, 24474, 274, 815, 476, 10219, 270, 272, 692, 22382, 1535, 274, 815, 476, 272, 270, 10219, 815, 630, 272, 270, 276, 264, 274, 692, 30043, 1535, 815, 476, 272, 270, 276, 692, 1428, 269, 16534, 585, 1535, 2433, 476, 1626, 5416, 1107, 1535, 19422, 320, 1341, 1535, 264, 274, 815, 630, 320, 1341, 1535, 19422, 320, 1107, 1535, 2020, 343, 2433, 476, 1626, 18950, 320, 1107, 1535, 19422, 320, 1341, 1535, 14587, 274, 815, 630, 320, 1341, 1535, 19422, 320, 1107, 1535, 2020, 22382, 630, 320, 1341, 1535, 19422, 320, 1107, 1535, 264, 6398, 2715, 263, 320, 1341, 1535, 19422, 320, 1107, 1535, 14587, 274, 815, 476, 1626, 692, 22382, 2715, 263, 320, 1341, 1535, 19422, 320, 1107, 1535, 14587, 275, 815, 476, 1626, 263, 22144, 273, 264, 275, 692, 22382, 630, 320, 1341, 1535, 19422, 320, 1107, 1535, 264, 815, 13008, 273, 692, 2691, 630, 320, 1341, 1535, 19422, 320, 1107, 1535, 264, 815, 476, 273, 270, 272, 692, 28274, 2499, 754, 334, 543, 26318, 334, 10484, 5416, 1341, 1535, 1341, 513, 1107, 1535, 19422, 320, 1341, 1535, 1107, 513, 1341, 1535, 264, 815, 630, 273, 1341, 476, 272, 19422, 273, 1107, 476, 272, 2020, 22382, 476, 273, 320, 270, 273, 343, 815, 476, 274, 270, 272, 692, 22382, 513, 24474, 815, 476, 274, 270, 272, 692, 22382, 476, 274, 343, 815, 513, 692, 30043, 1535, 815, 513, 270, 274, 692, 2691, 630, 320, 1341, 1535, 19422, 320, 910, 1535, 264, 815, 910, 273, 270, 272, 692, 28274, 2499, 754, 334, 543, 26318, 334, 10484, 5416, 1341, 1535, 1341, 513, 1107, 1535, 19422, 320, 1341, 1535, 1107, 513, 1341, 1535, 264, 815, 11196, 476, 273, 1341, 476, 272, 8358, 8987, 476, 273, 1107, 476, 272, 2020, 22382, 476, 273, 320, 270, 273, 343, 815, 910, 476, 272, 25773, 274, 692, 22382, 513, 24474, 815, 476, 272, 270, 274, 692, 22382, 1535, 815, 476, 274, 320, 692, 17798, 1535, 815, 513, 270, 274, 267, 476, 274, 320, 692, 1626, 269, 1403, 1535, 815, 1109, 6748, 3601, 540, 8167, 267, 1397, 602, 1535, 273, 1107, 476, 273, 1314, 1341, 476, 272, 815, 476, 271, 692, 28274, 2499, 754, 334, 543, 26318, 334, 10484, 22382, 630, 343, 1341, 476, 272, 264, 273, 14370, 343, 1107, 476, 272, 264, 273, 815, 630, 320, 1341, 476, 272, 19422, 320, 1107, 476, 272, 2020, 22382, 2715, 263, 343, 1341, 476, 272, 264, 273, 1341, 630, 343, 1107, 476, 272, 264, 273, 348, 270, 18950, 343, 1341, 476, 272, 264, 273, 1107, 630, 343, 1107, 476, 272, 264, 273, 815, 476, 273, 320, 270, 273, 692, 26139, 7311, 2499, 754, 334, 543, 26318, 334, 692, 22382, 630, 343, 273, 1341, 476, 272, 1341, 476, 273, 343, 1341, 1535, 273, 1341, 476, 272, 1107, 476, 273, 343, 19422, 343, 273 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5160, 1063, 6978, 15532, 1070, 4553, 676, 6978, 27315, 1154, 543, 1225, 1782, 269, 962, 1752, 2530, 607, 513, 1267, 540, 645, 17876, 568, 3622, 6574, 950, 1165, 3511, 2589, 1020, 269, 634, 10335, 540, 645, 17876, 2589, 4679, 950, 3037, 7509, 568, 2282, 2361, 4390, 630, 328, 4318, 1421, 950, 2175, 616, 6099, 585, 7693, 1646, 1916, 293, 565, 3511, 2589, 540, 645, 17876, 666, 581, 11821, 609, 1346, 540, 6727, 2669, 6794, 630, 5408, 772, 310, 7233, 8376, 12700, 667, 18089, 278, 267, 590, 5844, 12280, 15540, 540, 590, 1195, 9700, 1040, 1717, 267, 538, 519, 2013, 540, 6727, 2669, 6794, 630, 306, 9169, 1070, 519, 533, 603, 540, 4299, 29704, 2371, 786, 2611, 3043, 610, 8645, 23469, 269, 769, 1840, 267, 5072, 543, 2539, 11710, 540, 2371, 7092, 689, 590, 9169, 630, 8117, 711, 1346, 7092, 689, 645, 17876, 264, 1419, 723, 1769, 4544, 15649, 22566, 540, 838, 648, 13999, 540, 519, 17343, 602, 3123, 590, 9169, 563, 8489, 1281, 6960, 6565, 4232, 2097, 689, 286, 645, 17876, 568, 3361, 676, 519, 3037, 13871, 17343, 1912, 658, 641, 1817, 320, 575, 2958, 1092, 269, 1703, 616, 1079, 3982, 2010, 630, 528, 1024, 8040, 264, 540, 519, 17343, 267, 20922, 7392, 589, 543, 7392, 645, 269, 7392, 589, 568, 519, 811, 10728, 8833, 543, 3123, 811, 4835, 3441, 543, 2030, 1219, 565, 2747, 982, 7392, 645, 269, 623, 269, 575, 2958, 1092, 7392, 589, 849, 568, 2404, 609, 2362, 6556, 2530, 563, 303, 269, 575, 2958, 1092, 3470, 1161, 538, 29704, 21225, 267, 609, 6668, 942, 2047, 1644, 547, 519, 3259, 540, 942, 602, 621, 3217, 585, 29704, 21225, 547, 9178, 269, 4935, 267, 623, 269, 575, 2958, 1092, 3470, 1161, 3476, 950, 29704, 21225, 568, 2451, 593, 519, 3037, 2627, 630, 324, 3052, 1421, 538, 1100, 2389, 650, 5468, 264, 1141, 519, 2557, 540, 21225, 9178, 568, 3500, 269, 623, 269, 575, 2958, 1092, 3468, 338, 29704, 5072, 2038, 538, 519, 3395, 4005, 269, 898, 1287, 7575, 909, 883, 519, 11710, 267, 32415, 519, 15466, 1062, 630, 328, 4318, 1421, 519, 1216, 8410, 2265, 532, 5160, 264, 543, 7679, 1359, 609, 519, 3350, 540, 1216, 543, 5567, 563, 15703, 2188, 666, 3310, 645, 17876, 10335, 269, 3194, 689, 519, 2160, 540, 16855, 814, 3254, 602, 519, 11841, 543, 10335, 540, 645, 17876, 568, 6574, 538, 11934, 609, 1970, 2157, 540, 16903, 543, 11379, 267, 543, 513, 3037, 9063, 2630, 476, 277, 269, 274, 269, 769, 1840, 267, 623, 269, 575, 2958, 1092, 543, 29704, 28144, 29712, 1712, 630, 295, 2678, 617, 5028, 25026, 1149, 264, 4749, 2049, 538, 4610, 1927, 267, 543, 972, 568, 2963, 602, 645, 17876, 568, 811, 4049, 538, 519, 4527, 540, 713, 29712, 1712, 563, 1692, 666, 594, 4688, 513, 29704, 7693, 609, 6960, 6565, 4232, 286, 645, 17876, 3112, 581, 6417, 2899, 2371, 723, 1044, 7783, 269, 23205, 3511, 9033, 15969, 543, 9033, 8336, 6079, 5574, 723, 1100, 1198, 593, 519, 2068, 563, 1692, 666, 594, 2057, 2042, 609, 6960, 6565, 4232, 538, 519, 2104, 286, 2422, 7693, 32186, 540, 1079, 547, 1614, 1296, 2476, 689, 29704, 609, 513, 1875, 3620, 739, 7693, 630, 324, 3052, 1421, 1507, 9274, 267, 8970, 267, 610, 10448, 7031, 1070, 607, 1134, 607, 11489, 720, 2409, 602, 6451, 2030, 21225, 883, 519, 3037, 269, 5637, 540, 891, 2553, 786, 948, 2569, 645, 17876, 19800, 5095, 676, 5009, 17883, 540, 29704, 21225, 269, 4746, 267, 1118, 2386, 602, 3037, 12680, 543, 9063, 616, 20979, 585, 29704, 2504, 547, 2057, 22350, 1970, 16903, 543, 11379, 2157, 267, 607, 1134, 607, 22350, 1970, 3037, 9063, 269, 7053, 267, 1332, 29704, 8677, 609, 4187, 547, 645, 17876, 269, 13159, 4187, 547, 645, 17876, 568, 711, 2139, 538, 5010, 8677, 269, 1717, 1896, 2959, 540, 9864, 4187, 602, 1683, 9793, 547, 5140, 645, 17876, 1852, 616, 2139, 269, 4746, 267, 930, 267, 855, 711, 782, 267, 8677, 540, 29704, 28144, 29712, 1712, 630, 17092, 301, 264, 11259, 13386, 28369, 849, 616, 11259, 547, 645, 17876, 269, 4107, 29704, 8677, 609, 14662, 301, 4187, 6508, 689, 28697, 476, 6434, 278, 6434, 2769, 4187, 547, 645, 17876, 269, 1717, 267, 519, 1482, 568, 711, 3020, 540, 8677, 609, 14662, 301, 4187, 6508, 689, 623, 22701, 269, 4475, 25210, 1058, 5077, 6079, 2754, 13222, 827, 645, 17876, 4187, 950, 8939, 513, 3099, 609, 14662, 301, 4187, 6508, 689, 713, 2707, 563, 2690, 811, 1344, 593, 6960, 6565, 4232, 540, 29704, 281, 13555, 707, 10315, 22362, 8665, 563, 1432, 568, 6960, 5544, 286, 9466, 5544, 540, 29704, 267, 849, 5219, 547, 607, 20029, 18319, 6978, 5544, 610, 20029, 18319, 6960, 5544, 267, 568, 513, 1455, 543, 2356, 5266, 5634, 1165, 3511, 2068, 540, 29704, 538, 16855, 269, 9466, 5544, 3335, 1281, 711, 1291, 547, 1713, 6556, 2530, 538, 13386, 28369, 3812, 538, 519, 1533, 267, 4352, 6556, 9271, 540, 909, 547, 476, 1428, 260, 723, 1044, 4080, 689, 824, 2127, 540, 519, 2475, 269, 769, 16855, 267, 6960, 5544, 11148, 547, 581, 811, 11342, 593, 13386, 28369, 602, 616, 896, 2566, 1496, 324, 3052, 1421, 2566, 1813, 547, 10980, 267, 1970, 12680, 630, 31860, 1970, 11379, 1070, 1164, 5521, 8023, 267, 610, 824, 3676, 971, 607, 29704, 28144, 29712, 1712, 14073, 1432, 1281, 6960, 5544, 1413, 899, 286, 634, 1034, 6093, 10835, 540, 6960, 5544, 568, 519, 5250, 540, 16070, 267, 26070, 29744, 9634, 630, 11017, 4812, 547, 476, 272, 270, 279, 10759, 538, 8006, 264, 593, 1312, 3119, 543, 959, 604, 565, 2723, 622, 29704, 3762, 269, 9540, 267, 10199, 20085, 7510, 322, 333, 573, 807, 630, 10517, 8793, 3889, 264, 540, 519, 21465, 17343, 630, 6665, 1043, 609, 513, 1688, 7828, 264, 1106, 538, 519, 6960, 2127, 269, 634, 7510, 322, 333, 573, 807, 1419, 522, 334, 2763, 22204, 610, 13999, 540, 512, 2335, 880, 16507, 24032, 269, 1879, 6960, 5544, 568, 4049, 267, 2371, 949, 2253, 547, 1219, 565, 5573, 689, 519, 2666, 909, 269, 634, 2068, 568, 1419, 811, 11342, 1141, 12775, 568, 4057, 563, 8489, 1281, 6960, 5544, 2097, 689, 286, 9466, 5544, 568, 3361, 676, 519, 17343, 20029, 18319, 25026, 1149, 267, 799, 3470, 1161, 538, 21225, 689, 5892, 30428, 29704, 7031, 269, 634, 17343, 666, 849, 7639, 593, 30428, 5452, 269, 9466, 5544, 11148, 547, 581, 811, 1455, 1282, 3636, 267, 6632, 4365, 267, 543, 950, 3448, 11195, 568, 1164, 563, 1692, 666, 594, 4688, 513, 29704, 7693, 609, 6960, 5544, 286, 9466, 5544, 568, 711, 513, 24037, 2068, 267, 543, 538, 16855, 267, 621, 10355, 5012, 547, 2804, 2530, 269, 1717, 6960, 5544, 568, 811, 11342, 267, 543, 666, 581, 6556, 12145, 267, 538, 3735, 12630, 13386, 28369, 543, 538, 2038, 1319, 1005, 29704, 8677, 269, 674, 2426, 8336, 5574, 585, 6960, 5544, 616, 3335, 9444, 11562, 5896, 6862, 22237, 563, 1692, 666, 594, 2057, 2042, 609, 6960, 5544, 538, 519, 2104, 286, 9466, 5544, 568, 1655, 7307, 998, 1697, 10047, 269, 11298, 10691, 1332, 13386, 28369, 11179, 538, 519, 1482, 2361, 267, 855, 17967, 13386, 28369, 609, 824, 7031, 585, 693, 2547, 835, 1032, 547, 1450, 942, 585, 29704, 22016, 547, 6923, 9178, 269, 570, 650, 720, 2553, 602, 30565, 7693, 21225, 543, 3895, 811, 4028, 9178, 540, 22016, 602, 22426, 519, 6960, 5544, 19800, 949, 849, 948, 1683, 1852, 269, 4746, 267, 2057, 1210, 6079, 602, 814, 1044, 3812, 538, 4610, 609, 1164, 2157, 540, 519, 2068, 269, 7053, 267, 2569, 824, 17613, 593, 707, 13386, 28369, 602, 949, 19753, 2821, 2371, 547, 6960, 5544, 269, 12518, 602, 616, 5265, 6992, 1242, 267, 723, 6190, 1216, 543, 616, 5521, 268, 543, 19800, 6954, 616, 1447, 2693, 547, 1020, 519, 2068, 563, 2690, 811, 1344, 593, 6960, 5544, 540, 29704, 281, 13555, 707, 10315, 22362, 8665, 563, 1432, 568, 589, 23782, 3912, 806, 3597, 4232, 540, 620, 325, 2788, 320, 286, 589, 23782, 3912, 806, 3597, 4232, 630, 2752, 305, 264, 568, 513, 3978, 2068, 540, 1312, 5063, 6079, 539, 620, 325, 2788, 320, 543, 3964, 620, 325, 2788, 320, 6763, 269, 8121, 305, 666, 2014, 4049, 6556, 20214, 538, 4299, 620, 325, 2788, 320, 4610, 269, 29938, 540, 519, 2068, 849, 2049, 593, 1082, 824, 22053, 630, 10175, 29704, 267, 26882, 21167, 267, 535, 19487, 21167, 267, 2699, 8459, 21167, 267, 890, 320, 267, 2699, 804, 1478, 267, 543, 3043, 804, 1478, 264, 543, 666, 2014, 1713, 9271, 538, 891, 7031, 607, 1134, 563, 1432, 1281, 589, 23782, 3912, 806, 3597, 4232, 1413, 899, 286, 15380, 267, 620, 325, 2788, 320, 11944, 568, 711, 13497, 4299, 676, 8121, 305, 267, 855, 2589, 2408, 16172, 1310, 19155, 10836, 269, 8479, 2371, 2408, 25224, 539, 543, 5835, 543, 949, 5555, 5884, 269, 634, 3597, 1949, 540, 4299, 19155, 616, 4130, 982, 3339, 267, 543, 1018, 5072, 2611, 2408, 12457, 543, 1216, 27940, 8898, 269, 24771, 620, 325, 2788, 320, 2371, 7092, 689, 8121, 305, 849, 4043, 547, 581, 25224, 539, 543, 5835, 269, 1358, 949, 723, 513, 1134, 31465, 7148, 3597, 855, 3335, 5266, 1906, 4130, 267, 5386, 5072, 269, 10705, 267, 25210, 8275, 789, 723, 513, 1966, 609, 8121, 305, 950, 789, 5469, 602, 18047, 538, 741, 4610, 616, 3395, 811, 25525, 3585, 982, 741, 620, 325, 2788, 320, 7693, 563, 8489, 1281, 589, 23782, 3912, 806, 3597, 4232, 2097, 689, 286, 8121, 305, 568, 3361, 676, 519, 3037, 13871, 1216, 9044, 630, 328, 4318, 1421, 17343, 6438, 11248, 264, 589, 23782, 3912, 806, 552, 1393, 545, 1127, 269, 589, 269, 552, 1393, 545, 1127, 568, 4122, 1336, 538, 4610, 602, 616, 14605, 27071, 267, 4610, 609, 18219, 630, 328, 4318, 1421, 10036, 264, 11934, 267, 4610, 609, 735, 9146, 267, 543, 4610, 602, 4309, 7050, 1216, 269, 589, 269, 552, 1393, 545, 1127, 7472, 18784, 267, 1279, 24331, 16889, 24032, 630, 21406, 522, 2214, 2803, 264, 538, 519, 5072, 540, 7783, 2371, 267, 543, 891, 24032, 666, 2611, 26862, 538, 519, 3037, 585, 909, 547, 476, 1015, 1296, 267, 1256, 538, 519, 9000, 540, 513, 11630, 7693, 269, 4495, 513, 11630, 7693, 568, 1459, 267, 522, 2214, 2803, 666, 10351, 3729, 543, 2047, 3468, 2371, 267, 610, 896, 6632, 614, 2175, 3132, 3875, 18784, 10977, 24032, 630, 21406, 18186, 2214, 2803, 264, 602, 666, 13604, 3468, 2371, 563, 2467, 616, 1896, 14726, 540, 589, 269, 552, 1393, 545, 1127, 543, 891, 14726, 4043, 547, 723, 7375, 585, 799, 2030, 14747, 789, 786, 3468, 269, 1280, 1383, 267, 930, 14726, 4043, 547, 3468, 620, 325, 2788, 320, 267, 1866, 4043, 547, 3468, 17112, 543, 1866, 4043, 547, 3468, 26882, 10365, 269, 589, 269, 552, 1393, 545, 1127, 602, 3468, 338, 620, 325, 2788, 320, 666, 581, 2417, 5258, 883, 1079, 14797, 630, 15869, 476, 272, 543, 5198, 476, 273, 1070, 799, 666, 581, 13747, 1759, 593, 519, 1880, 620, 325, 2788, 320, 8677, 602, 789, 1034, 11593, 3468, 269, 4033, 14797, 540, 589, 269, 552, 1393, 545, 1127, 602, 666, 3468, 620, 325, 2788, 320, 2693, 2291, 267, 855, 693, 713, 942, 723, 711, 1044, 4628, 13006, 563, 1692, 666, 594, 4688, 2371, 609, 589, 23782, 3912, 806, 3597, 4232, 286, 1703, 568, 1100, 1259, 547, 4688, 606, 620, 325, 2788, 320, 7693, 2899, 8121, 305, 814, 7018, 269, 674, 2426, 8336, 6079, 5574, 949, 1683, 2110, 3856, 4027, 540, 620, 325, 2788, 320, 19155, 269, 1717, 267, 1165, 3511, 9033, 15969, 798, 711, 1683, 1022, 8121, 305, 1852, 563, 1692, 666, 594, 2057, 2042, 609, 589, 23782, 3912, 806, 3597, 4232, 538, 519, 2104, 286, 634, 1034, 1271, 2359, 4640, 585, 8121, 305, 568, 547, 1118, 2386, 4610, 616, 5265, 27071, 269, 26805, 7555, 1216, 568, 1271, 547, 2061, 1646, 540, 18186, 2214, 2803, 267, 799, 666, 13497, 2333, 2068, 10335, 269, 26805, 735, 9146, 267, 1210, 1016, 1606, 16577, 12775, 17981, 543, 5924, 556, 268, 709, 1154, 2627, 1216, 12775, 11444, 666, 948, 13468, 6632, 3037, 2175, 269, 1403, 972, 568, 513, 2250, 1686, 540, 8121, 305, 538, 513, 2361, 267, 946, 620, 325, 2788, 320, 8677, 609, 4187, 547, 519, 1808, 5198, 4433, 264, 540, 589, 269, 552, 1393, 545, 1127, 1459, 538, 519, 2361, 269, 6904, 5198, 4433, 264, 616, 1459, 666, 581, 5462, 1210, 513, 3037, 6915, 817, 599, 269, 13555, 707, 2199, 10315, 22362, 5604, 585, 811, 1344, 593, 875, 547, 2445, 513, 3037, 3732, 585, 589, 269, 552, 1393, 545, 1127, 4152, 267, 607, 1134, 607 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5327, 32606, 20574, 267, 1010, 2790, 267, 2168, 7592, 543, 1915, 5314, 454, 16498, 7592, 268, 3891, 568, 827, 476, 8182, 4699, 7381, 11607, 3891, 814, 14462, 2960, 11607, 3891, 814, 6328, 601, 4064, 11607, 3891, 814, 30255, 267, 2083, 20321, 9221, 18133, 6960, 4552, 11607, 3891, 568, 28489, 855, 3514, 543, 2178, 11607, 3891, 568, 4988, 538, 11912, 267, 16150, 525, 543, 20015, 2478, 1317, 646, 814, 547, 2661, 10199, 538, 519, 19069, 269, 910, 3891, 568, 9849, 3037, 539, 543, 678, 5792, 9660, 607, 513, 1267, 540, 7836, 3275, 538, 519, 3552, 563, 26045, 7592, 3891, 2833, 1114, 2790, 2829, 543, 4664, 281, 4250, 630, 20357, 519, 20987, 26301, 267, 519, 12681, 10523, 543, 646, 781, 676, 5128, 538, 519, 1647, 540, 24076, 1070, 18354, 543, 29359, 630, 20357, 1010, 3237, 5063, 32682, 1027, 1070, 26416, 6888, 630, 20357, 1010, 544, 636, 1185, 606, 26035, 609, 1776, 812, 1070, 4965, 630, 15290, 646, 13290, 547, 6146, 5128, 1317, 646, 814, 4503, 4126, 1070, 16236, 630, 515, 16858, 519, 12681, 547, 1964, 538, 4708, 264, 2073, 20420, 630, 20357, 646, 568, 4805, 585, 1082, 3275, 1040, 1717, 267, 7836, 942, 538, 1151, 3363, 2242, 1864, 883, 513, 811, 18507, 543, 3507, 894, 1268, 630, 515, 1483, 2478, 875, 4190, 519, 5251, 568, 543, 646, 568, 9684, 995, 547, 581, 9800, 1040, 4634, 1498, 646, 814, 930, 4158, 8090, 267, 646, 814, 2949, 513, 2318, 2790, 10182, 267, 786, 12741, 543, 8990, 547, 7639, 563, 8448, 18567, 630, 17367, 1275, 267, 7180, 9984, 3891, 31136, 12703, 569, 11607, 3891, 3085, 1405, 1205, 27209, 1932, 3362, 11607, 3891, 568, 5827, 543, 4199, 995, 1317, 646, 9388, 609, 782, 12204, 540, 2591, 11607, 3891, 568, 14388, 1317, 646, 973, 13569, 3533, 689, 2352, 3871, 11607, 3891, 568, 9921, 585, 1010, 2085, 1317, 646, 31136, 538, 513, 3743, 543, 8797, 1259, 11607, 3891, 13290, 547, 1832, 9350, 543, 1265, 3435, 11607, 0, 1432, 1411, 10261, 1677, 5700, 6168, 769, 25691, 454, 2005, 779, 606, 1898, 851, 540, 875, 707, 1560, 18203, 3294, 269, 769, 25691, 2337, 2149, 7063, 865, 789, 666, 12115, 5488, 1510, 5368, 329, 1722, 269, 2659, 4761, 1062, 10244, 525, 6553, 547, 4339, 1055, 897, 1091, 607, 1134, 563, 4913, 267, 950, 6553, 4991, 856, 540, 1688, 543, 3587, 5312, 267, 621, 666, 1291, 547, 12982, 3676, 543, 824, 4713, 269, 18227, 6553, 538, 2638, 568, 835, 540, 519, 1655, 2081, 547, 3986, 707, 2949, 1134, 5630, 267, 2094, 621, 666, 11874, 1764, 1169, 2460, 540, 707, 1072, 563, 275, 5871, 18467, 769, 25691, 18748, 338, 2659, 10610, 454, 7021, 335, 3174, 540, 6553, 666, 10413, 707, 8937, 267, 7700, 547, 3676, 899, 769, 11987, 14332, 601, 8376, 630, 296, 9720, 994, 32247, 6553, 666, 10413, 707, 1072, 538, 519, 1279, 2196, 269, 898, 779, 513, 1164, 16151, 3815, 585, 2295, 2068, 543, 1978, 11871, 563, 32391, 2986, 968, 299, 604, 5598, 892, 15302, 454, 1103, 25691, 666, 849, 3565, 547, 7378, 4187, 267, 1818, 621, 9875, 547, 6336, 2597, 267, 543, 1818, 621, 513, 1981, 3815, 585, 3987, 563, 1103, 25691, 666, 1764, 1169, 851, 540, 707, 1560, 267, 4611, 538, 1928, 602, 5205, 596, 782, 1554, 269, 901, 666, 2800, 707, 10688, 543, 2298, 540, 1272, 563, 20062, 2969, 25758, 22400, 715, 28692, 5254, 292, 4916, 11123, 23781, 296, 14110, 5058, 5442, 14566, 4456, 7246, 3582, 888, 2969, 654, 21822, 5990, 12088, 267, 744, 7838, 23184, 3201, 4959, 9215, 670, 5085, 303, 9358, 595, 7838, 12442, 589, 700, 9281, 292, 700, 4353, 3633, 654, 21822, 1107, 5442, 589, 700, 3008, 16249, 267, 670, 5357, 3041, 12087, 654, 17751, 563, 272, 269, 5192, 29615, 12930, 10163, 5272, 4303, 454, 273, 269, 9796, 23206, 1677, 2659, 31031, 8577, 700, 14110, 30600, 563, 274, 269, 7827, 2659, 10791, 563, 1320, 992, 856, 9268, 3536, 267, 2241, 11950, 267, 543, 24494, 16152, 269, 16202, 2635, 21364, 16719, 602, 616, 14095, 609, 1898, 8324, 543, 5567, 563, 275, 269, 5192, 8617, 11644, 563, 1607, 2337, 4339, 6553, 538, 1079, 2081, 1107, 1101, 267, 621, 2306, 596, 6793, 543, 1447, 2693, 547, 3614, 675, 3054, 269, 5822, 267, 621, 17160, 707, 1560, 2407, 540, 4550, 13611, 10399, 563, 276, 269, 6333, 26929, 566, 563, 2467, 616, 1082, 9360, 602, 666, 948, 2569, 6553, 267, 899, 23554, 7530, 595, 267, 667, 267, 13101, 267, 543, 15060, 268, 274, 9761, 7408, 269, 26451, 891, 666, 948, 6445, 10616, 538, 707, 2732, 267, 4180, 602, 707, 1560, 814, 3388, 621, 2115, 547, 20758, 1055, 29134, 6553, 563, 308, 11520, 12442, 22400, 700, 9281, 12239, 312, 4041, 1299, 654, 21822, 26614, 681, 5495, 2316, 301, 2464, 563, 3951, 24912, 661, 3008, 312, 9215, 717, 4953, 5254, 10813, 298, 5442, 744, 17162, 654, 17751, 306, 5508, 570, 3918, 288, 16249, 13698, 2562, 269, 8668, 24912, 29376, 292, 9215, 10790, 17395, 21614, 6865, 11123, 5990, 21832, 654, 17751, 306, 5508, 16777, 3201, 5058, 563, 11073, 2060, 634, 6196, 454, 301, 6347, 10680, 267, 23361, 267, 543, 1095, 18587, 1521, 519, 2360, 540, 5571, 6553, 1107, 789, 1810, 1406, 2232, 1018, 779, 2356, 693, 519, 4295, 540, 519, 1966, 563, 4322, 616, 19408, 267, 7199, 267, 942, 21791, 267, 543, 1419, 11213, 3681, 602, 666, 723, 20468, 2427, 2360, 563, 10673, 1406, 1711, 811, 2152, 982, 596, 4194, 1107, 2232, 519, 2014, 540, 707, 6553, 543, 707, 2589, 786, 1246, 563, 1103, 2060, 634, 1715, 454, 7804, 269, 631, 1229, 603, 2782, 1676, 267, 9647, 31517, 18874, 543, 13653, 540, 4270, 7869, 267, 2919, 519, 2200, 543, 2472, 593, 938, 3896, 547, 2322, 519, 1379, 540, 5355, 707, 2949, 9716, 538, 707, 3946, 563, 4263, 4270, 7869, 267, 938, 3804, 568, 547, 1683, 596, 609, 693, 25571, 3435, 596, 666, 2119, 1101, 267, 1354, 759, 15659, 547, 11213, 543, 7199, 7459, 563, 11039, 7869, 281, 5853, 539, 1677, 8081, 2659, 2657, 17644, 454, 7804, 269, 2782, 1676, 8547, 4270, 7869, 2687, 547, 1200, 4978, 827, 6198, 4915, 267, 610, 6198, 9716, 267, 18627, 6671, 4915, 563, 12648, 932, 1618, 2986, 2659, 2657, 2060, 4270, 7869, 454, 3519, 14846, 4915, 1419, 6772, 23697, 11455, 267, 1279, 3856, 6197, 2242, 538, 3870, 540, 1095, 21564, 5230, 31534, 267, 2857, 2056, 10792, 543, 12362, 5574, 899, 23361, 267, 543, 811, 538, 606, 3801, 547, 3247, 1928, 610, 2068, 607, 621, 4386, 563, 8340, 25682, 10201, 2510, 2334, 4518, 1107, 1280, 1411, 563, 296, 1589, 649, 782, 917, 602, 6671, 543, 2413, 4915, 568, 5114, 776, 543, 4062, 22596, 267, 6466, 1434, 4915, 1058, 581, 14942, 543, 7854, 519, 2898, 540, 596, 543, 707, 1560, 779, 1949, 563, 1692, 1284, 8081, 1411, 2201, 2659, 25682, 17714, 912, 293, 23341, 7067, 6212, 811, 593, 5885, 606, 2907, 2635, 6197, 1107, 610, 15268, 13467, 547, 1711, 513, 8902, 1259, 540, 2713, 1107, 3079, 540, 8806, 14775, 547, 4576, 543, 5945, 609, 5574, 2966, 547, 1152, 2232, 2589, 563, 4263, 4270, 7869, 267, 649, 3494, 602, 596, 616, 6038, 538, 5279, 540, 6104, 5109, 707, 1072, 3853, 269, 1284, 1175, 2285, 596, 519, 2645, 543, 2200, 596, 991, 547, 1205, 3323, 2509, 513, 2619, 547, 1732, 2949, 9716, 563, 2171, 3494, 602, 596, 1058, 581, 23518, 538, 707, 1072, 3460, 563, 12648, 634, 3689, 5153, 27870, 589, 5020, 700, 1882, 4270, 912, 303, 8008, 8085, 2752, 11581, 24102, 3201, 19154, 8104, 306, 454, 5978, 25779, 1280, 1411, 912, 5978, 3804, 568, 711, 547, 1521, 519, 2589, 540, 4576, 855, 547, 1489, 596, 538, 707, 1279, 3856, 9716, 3460, 607, 596, 2981, 707, 1072, 585, 519, 1732, 267, 538, 513, 1259, 602, 16569, 563, 27407, 267, 707, 1560, 814, 519, 2645, 621, 2115, 547, 1582, 13463, 531, 543, 1521, 2042, 269, 1284, 3274, 3343, 547, 3986, 1346, 2067, 5759, 563, 5978, 2472, 543, 2200, 616, 782, 2966, 547, 581, 5249, 16900, 883, 707, 2635, 6197, 563, 5591, 4387, 779, 20499, 267, 1100, 7199, 31534, 267, 1100, 5538, 17331, 2427, 2360, 1107, 1175, 2067, 3681, 602, 2965, 960, 269, 0, 12749, 21909, 687, 12618, 9650, 3553, 8018, 1280, 4841, 10778, 294, 9512, 9650, 3553, 8018, 1280, 4841, 769, 713, 1514, 3929, 1565, 4976, 1053, 12840, 547, 2328, 543, 1685, 513, 1236, 527, 602, 9727, 741, 3838, 1620, 540, 513, 2208, 5288, 6378, 14820, 2966, 585, 8772, 543, 11359, 12315, 707, 27503, 5856, 513, 4960, 547, 1628, 741, 2208, 14820, 1247, 20993, 741, 2123, 2239, 1603, 1983, 538, 713, 1603, 4976, 1053, 786, 1544, 856, 513, 1650, 827, 513, 942, 538, 741, 634, 3992, 568, 18799, 676, 1762, 8186, 5605, 26513, 543, 5925, 476, 272, 1272, 554, 2931, 1459, 518, 737, 520, 773, 555, 626, 13987, 945, 568, 8678, 676, 938, 2027, 16823, 4791, 18673, 1743, 6328, 601, 554, 28207, 513, 14850, 335, 5803, 4116, 563, 294, 9512, 9650, 3553, 8018, 1280, 4841, 589, 32563, 585, 1967, 538, 519, 2104, 540, 960, 568, 2348, 513, 2208, 14820, 952, 596, 1810, 512, 3494, 4757, 721, 585, 513, 1863, 4976, 609, 513, 14229, 752, 12744, 883, 519, 1184, 540, 2679, 3483, 995, 634, 26759, 324, 529, 896, 544, 3464, 522, 2998, 651, 521, 5279, 814, 9250, 606, 10728, 5859, 547, 5000, 519, 5610, 540, 20835, 14820, 7044, 543, 3211, 3056, 519, 2875, 1900, 676, 1900, 634, 5604, 540, 519, 13030, 1008, 739, 585, 2875, 1272, 786, 3136, 922, 5691, 3268, 547, 3268, 547, 682, 2355, 568, 513, 10319, 4674, 547, 6536, 15400, 6208, 543, 3895, 513, 2208, 14820, 538, 519, 2127, 540, 563, 294, 9512, 9650, 3553, 8018, 1280, 4841, 22175, 13976, 2390, 519, 6280, 521, 1699, 2883, 7924, 11036, 6666, 322, 6847, 538, 606, 5051, 607, 2106, 28942, 1158, 4199, 4099, 8689, 1629, 564, 686, 639, 897, 9109, 13922, 1396, 799, 568, 4628, 2228, 901, 568, 513, 1747, 1141, 930, 2731, 5863, 2208, 666, 4755, 952, 596, 616, 8348, 4781, 476, 272, 1004, 666, 581, 711, 1434, 2614, 713, 14820, 1797, 596, 1294, 1480, 1871, 607, 1689, 762, 543, 1945, 594, 19927, 875, 547, 4497, 1250, 1053, 593, 513, 5691, 3760, 543, 2366, 873, 1082, 10467, 543, 3211, 547, 581, 12193, 693, 1753, 1775, 849, 3323, 2921, 2661, 2228, 4255, 593, 31914, 904, 543, 1775, 666, 563, 10743, 540, 519, 1153, 540, 1272, 1810, 512, 991, 1082, 16929, 849, 1683, 29433, 3211, 543, 824, 2326, 543, 930, 3549, 849, 1450, 596, 547, 4647, 7044, 610, 4585, 1543, 563, 294, 9512, 9650, 3553, 8018, 1280, 4841, 269, 634, 4976, 568, 606, 25819, 540, 476, 275, 10578, 18697, 602, 786, 3986, 707, 4819, 781, 1702, 543, 5759, 269, 634, 3211, 616, 6035, 538, 1646, 958, 3617, 8747, 585, 3214, 540, 1114, 6502, 269, 17006, 543, 18946, 9981, 3211, 538, 1082, 9832, 1519, 513, 1297, 540, 5079, 585, 24324, 946, 563, 2791, 666, 2253, 609, 519, 26627, 27664, 17400, 1161, 543, 1310, 602, 1847, 4464, 609, 519, 27608, 17400, 1161, 269, 29986, 585, 3214, 786, 849, 581, 2864, 2241, 547, 1020, 538, 971, 513, 6752, 269, 1403, 596, 2811, 606, 2937, 543, 6999, 547, 2333, 707, 13002, 267, 621, 666, 581, 12913, 269, 1306, 513, 1267, 267, 538, 519, 2680, 602, 596, 2731, 6999, 547, 3986, 13002, 540, 707, 4819, 267, 31657, 547, 2263, 519, 5383, 540, 606, 10995, 1565, 1907, 1631, 2336, 13706, 875, 596, 6999, 547, 17492, 707, 4357, 5132, 3948, 269, 6884, 5022, 723, 547, 581, 14661, 547, 3514, 538, 513, 1880, 2230, 269, 1879, 513, 4484, 1281, 711, 723, 1022, 7299, 338, 899, 513, 3854, 589, 610, 966, 267, 519, 1360, 1101, 15497, 8482, 568, 9833, 607, 519, 6565, 269, 634, 4448, 543, 1793, 5896, 5022, 786, 581, 3833, 2241, 547, 1106, 2899, 519, 1082, 5546, 556, 19927, 1134, 269, 4634, 1945, 607, 2653, 607, 27378, 519, 4098, 4484, 540, 1279, 1913, 666, 4217, 707, 1126, 2087, 1010, 18551, 5759, 269, 12618, 9650, 3553, 8018, 1280, 4841, 563, 2467, 3884, 1405, 4376, 899, 513, 24077, 1650, 267, 543, 4986, 899, 1373, 519, 1268, 945, 3323, 513, 12021, 4683, 10828, 269, 5463, 4575, 2390, 519, 4998, 1935, 8905, 595, 27641, 1603, 568, 10416, 8678, 5346, 13002, 269, 6657, 2542, 676, 3054, 607, 1419, 607, 2009, 563, 10932, 4683, 17691, 547, 3489, 513, 1523, 540, 1018, 781, 856, 972, 1991, 547, 1818, 513, 1007, 835, 269, 1411, 616, 1869, 711, 2386, 519, 18119, 723, 519, 1697, 2856, 269, 28900, 267, 596, 4465, 1405, 946, 519, 5354, 540, 707, 2093, 269, 1403, 596, 4312, 3893, 606, 2856, 585, 513, 1907, 5225 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 950, 1535, 815, 476, 275, 267, 586, 815, 910, 273, 347, 275, 910, 476, 274, 347, 1341, 476, 275, 815, 910, 273, 263, 272, 264, 1341, 476, 275, 815, 476, 273, 269, 901, 3947, 721, 519, 1448, 630, 275, 267, 476, 273, 6393, 5522, 31857, 891, 2798, 543, 8220, 873, 609, 513, 5347, 7455, 267, 649, 1205, 519, 3113, 540, 519, 3830, 586, 815, 910, 273, 347, 343, 910, 476, 274, 347, 1341, 476, 275, 780, 2162, 7726, 476, 277, 692, 9223, 476, 277, 7318, 1053, 262, 1620, 540, 32568, 3252, 269, 634, 2243, 4280, 585, 519, 1871, 540, 1535, 950, 2845, 3287, 264, 815, 476, 273, 269, 1677, 4194, 713, 3830, 267, 649, 666, 27682, 621, 538, 12825, 1106, 607, 476, 1015, 317, 273, 815, 1535, 269, 4475, 267, 1535, 815, 476, 1911, 780, 1012, 10390, 692, 763, 10789, 476, 273, 4873, 476, 1001, 278, 3204, 757, 981, 729, 513, 3102, 1449, 602, 13934, 1053, 262, 1620, 543, 3498, 540, 15821, 2035, 269, 1635, 17265, 519, 4267, 543, 3137, 3177, 538, 713, 2376, 267, 1053, 666, 2744, 513, 1732, 1620, 540, 519, 1570, 4988, 538, 519, 981, 543, 2087, 741, 2773, 538, 2104, 10526, 269, 5457, 267, 2259, 543, 16177, 616, 1883, 547, 13215, 15821, 2035, 269, 6153, 9939, 256, 0, 258, 31538, 6153, 1145, 6361, 6363, 527, 4530, 692, 1012, 1548, 568, 5564, 30796, 17392, 2496, 1892, 7673, 589, 1109, 20123, 30796, 3892, 28812, 3989, 676, 1022, 1109, 330, 1109, 22238, 3809, 533, 272, 267, 533, 273, 267, 533, 330, 602, 2040, 547, 9322, 780, 1892, 7673, 1280, 1383, 267, 2015, 519, 1739, 968, 334, 24810, 892, 17114, 540, 631, 261, 300, 4778, 780, 1892, 634, 19165, 616, 1384, 1892, 7673, 3143, 6724, 616, 6059, 630, 332, 1109, 284, 476, 271, 264, 543, 972, 616, 1109, 322, 1109, 284, 476, 277, 5049, 267, 865, 519, 5232, 540, 5191, 616, 1384, 333, 815, 1109, 322, 1109, 1109, 332, 1109, 1700, 476, 272, 815, 476, 277, 1107, 476, 271, 1107, 476, 272, 692, 1012, 31538, 17392, 692, 1892, 7673, 634, 1109, 684, 6134, 22556, 6361, 1922, 527, 1109, 11687, 568, 513, 2027, 2013, 540, 519, 1617, 30796, 538, 799, 1169, 1871, 814, 519, 1482, 4960, 540, 12136, 780, 1892, 7673, 634, 1109, 14024, 30026, 1449, 1109, 1721, 513, 7833, 3892, 19776, 782, 1109, 322, 1109, 25364, 8195, 780, 1892, 7673, 634, 19165, 616, 1384, 1012, 31538, 23184, 293, 4530, 281, 1109, 6828, 539, 4578, 692, 1892, 7673, 634, 1449, 666, 581, 5340, 593, 1239, 602, 616, 2907, 9184, 4327, 883, 2516, 780, 1892, 7673, 12433, 519, 4397, 4908, 1109, 1109, 1721, 1142, 1591, 780, 1892, 7673, 634, 5232, 540, 5191, 616, 562, 815, 524, 1107, 476, 272, 2094, 972, 616, 1100, 6724, 585, 519, 7833, 3892, 780, 1892, 7673, 5136, 1555, 519, 2565, 1871, 1109, 1109, 5228, 25715, 661, 585, 519, 5551, 1377, 540, 4644, 513, 780, 1892, 7673, 634, 1109, 335, 17032, 666, 581, 5833, 689, 9185, 780, 1892, 7673, 1234, 915, 1109, 1109, 604, 1109, 335, 17032, 1109, 283, 1109, 780, 763, 2856, 3297, 519, 1109, 14024, 30026, 22556, 6361, 1922, 527, 1449, 28812, 547, 1294, 952, 519, 3732, 2501, 689, 519, 2551, 609, 519, 10645, 3892, 269, 6271, 1259, 540, 3168, 693, 602, 568, 547, 2307, 952, 519, 4908, 3892, 13352, 513, 1808, 4806, 780, 10521, 2418, 616, 3238, 267, 606, 4767, 1871, 267, 799, 568, 519, 4908, 540, 513, 7121, 689, 513, 3732, 267, 543, 519, 4397, 4908, 267, 799, 568, 7229, 1759, 2390, 519, 10645, 3892, 780, 763, 2856, 568, 602, 952, 519, 4767, 4908, 568, 2731, 2673, 547, 519, 10645, 630, 1410, 4624, 264, 4908, 267, 1287, 519, 4009, 540, 519, 24017, 786, 581, 1507, 269, 634, 4009, 540, 519, 11539, 568, 5258, 676, 519, 4397, 4908, 547, 1109, 7076, 12451, 269, 589, 3017, 540, 476, 1015, 949, 581, 1360, 1713, 952, 476, 1321, 729, 519, 4397, 4908, 267, 855, 513, 3017, 540, 476, 1015, 3884, 1405, 1360, 1713, 693, 782, 952, 519, 1109, 1410, 4624, 4908, 1109, 13195, 476, 6344, 271, 780, 2252, 519, 2040, 540, 891, 22051, 16302, 24017, 568, 1507, 267, 519, 4767, 12451, 616, 2673, 547, 519, 4397, 12451, 543, 972, 1131, 581, 1100, 2601, 547, 7947, 519, 3409, 602, 621, 3357, 689, 602, 3892, 269, 8307, 950, 519, 2040, 568, 1804, 568, 519, 2601, 547, 2243, 519, 3892, 269, 4475, 267, 519, 1109, 14024, 30026, 22556, 6361, 1922, 527, 1449, 28812, 2141, 513, 1318, 2766, 1449, 269, 2353, 971, 2798, 616, 4988, 538, 1109, 21809, 2065, 14581, 1109, 15276, 267, 1109, 10112, 9892, 948, 1109, 520, 1109, 339, 3757, 560, 12781, 2593, 692, 763, 1449, 18802, 814, 513, 16584, 30026, 3892, 950, 519, 1739, 10054, 616, 1558, 692, 2162, 634, 1239, 616, 5833, 689, 513, 4351, 3732, 692, 763, 4397, 4908, 540, 1142, 7121, 1590, 581, 693, 2547, 476, 276, 269, 901, 4422, 1394, 547, 519, 10421, 602, 519, 1239, 581, 7363, 7856, 269, 1411, 2811, 1138, 6819, 513, 1617, 30796, 4603, 630, 6748, 513, 15768, 3892, 264, 609, 519, 22556, 6361, 1922, 527, 1449, 630, 663, 513, 6024, 3892, 1070, 543, 952, 1142, 4397, 4908, 568, 693, 2547, 2947, 1287, 596, 666, 946, 519, 3339, 3892, 547, 16977, 630, 332, 1276, 899, 519, 23481, 1040, 1403, 519, 4397, 692, 1012, 634, 1739, 616, 3601, 540, 519, 7833, 22556, 6361, 1922, 527, 1449, 692, 1892, 634, 1239, 616, 519, 4767, 12451, 269, 901, 1797, 602, 972, 568, 1152, 835, 1239, 1871, 585, 1142, 7121, 269, 4475, 267, 4429, 1892, 634, 5232, 540, 5191, 616, 835, 1447, 982, 519, 1297, 540, 6688, 267, 711, 835, 1447, 982, 519, 3732, 2450, 563, 1892, 898, 568, 2141, 513, 1318, 2766, 1449, 563, 1892, 898, 814, 513, 16584, 30026, 3892, 563, 1892, 634, 1871, 540, 519, 1449, 18802, 3085, 1405, 1689, 952, 519, 1931, 540, 519, 6688, 568, 23564, 563, 1892, 634, 1449, 18802, 568, 692, 4322, 5767, 7835, 616, 782, 4988, 538, 519, 6780, 948, 610, 1109, 10112, 9892, 948, 267, 538, 1109, 21809, 2065, 1109, 520, 1109, 339, 3757, 560, 12781, 2593, 780, 307, 3757, 560, 12781, 2593, 1109, 25075, 1938, 12905, 1109, 24610, 1740, 948, 1109, 520, 10257, 10997, 609, 2143, 4267, 547, 707, 1109, 21809, 2065, 2055, 1109, 810, 602, 596, 1205, 547, 1174, 707, 10467, 610, 6780, 1732, 6306, 689, 2348, 519, 4267, 269, 3776, 21493, 616, 26526, 11727, 543, 723, 1296, 540, 1995, 3246, 1109, 4462, 6134, 6153, 1145, 6361, 6363, 527, 4530, 1109, 24610, 1740, 948, 610, 7084, 948, 780, 1012, 13565, 11762, 692, 5472, 10803, 11762, 692, 5415, 1627, 26031, 0, 22706, 476, 278, 281, 15051, 609, 21929, 10606, 692, 305, 908, 1384, 10059, 2517, 4178, 269, 613, 3073, 328, 770, 663, 1841, 3820, 270, 10481, 3073, 807, 268, 18184, 1841, 22077, 1090, 1168, 3311, 270, 278, 628, 5336, 987, 268, 16215, 268, 272, 15005, 692, 13349, 11759, 11621, 692, 278, 269, 10064, 269, 272, 910, 15233, 543, 8831, 3105, 24300, 540, 1840, 543, 12408, 547, 1039, 543, 10208, 7787, 2338, 282, 2099, 1840, 543, 12408, 593, 513, 8880, 610, 7299, 1297, 1899, 6516, 780, 278, 269, 10064, 269, 272, 320, 910, 14674, 3871, 538, 799, 6587, 9424, 9192, 547, 1118, 476, 271, 780, 278, 269, 10064, 269, 272, 321, 910, 13760, 1109, 335, 1109, 266, 1109, 336, 1109, 553, 519, 1297, 4092, 513, 3845, 1923, 336, 347, 689, 1109, 335, 267, 538, 519, 2318, 610, 2942, 4287, 4470, 593, 2436, 1109, 336, 28812, 2318, 610, 2942, 269, 8058, 602, 513, 1297, 543, 922, 6587, 723, 513, 2040, 540, 476, 271, 630, 732, 19605, 538, 951, 525, 1040, 19873, 18304, 540, 7787, 2338, 676, 10503, 1483, 8996, 8658, 780, 278, 269, 10064, 269, 272, 322, 910, 13760, 12408, 540, 7787, 2338, 607, 4946, 519, 19605, 11201, 28872, 1109, 268, 1109, 336, 1109, 284, 1109, 335, 1109, 266, 11196, 336, 1040, 8058, 602, 519, 3845, 1063, 1079, 7787, 2338, 593, 519, 1297, 1899, 568, 519, 6207, 1871, 540, 741, 3017, 267, 543, 4019, 713, 6240, 538, 1483, 8996, 8658, 780, 278, 269, 10064, 269, 272, 323, 910, 15233, 3601, 540, 4238, 607, 2994, 547, 1039, 543, 10208, 7787, 2338, 780, 278, 269, 10064, 269, 273, 910, 15233, 543, 8831, 3105, 24300, 540, 8691, 543, 6498, 543, 540, 8454, 547, 9062, 543, 7941, 7787, 2338, 780, 278, 269, 10064, 269, 273, 320, 910, 13760, 602, 8691, 568, 6905, 689, 8454, 547, 7787, 2338, 676, 8506, 602, 4238, 3136, 547, 14183, 519, 3601, 540, 4238, 267, 3226, 519, 2733, 5737, 3959, 267, 3056, 547, 2472, 971, 607, 11196, 272, 7565, 268, 272, 264, 815, 476, 272, 543, 519, 3652, 585, 14921, 9896, 2338, 269, 19873, 2472, 540, 7787, 2338, 676, 10503, 1483, 8996, 8658, 780, 278, 269, 10064, 269, 273, 321, 910, 13760, 602, 9981, 666, 581, 5258, 267, 3177, 602, 519, 27708, 568, 711, 4642, 267, 543, 1169, 23479, 540, 9981, 630, 5976, 1875, 25179, 27708, 264, 568, 513, 7787, 1297, 269, 1403, 1109, 335, 30548, 1109, 336, 1109, 732, 9981, 267, 1287, 910, 263, 335, 270, 336, 264, 815, 11196, 335, 8358, 336, 1109, 284, 1109, 335, 270, 8987, 336, 1040, 19873, 9889, 1801, 540, 7787, 2338, 676, 10503, 1483, 8996, 8658, 780, 278, 269, 10064, 269, 273, 322, 1109, 910, 7343, 569, 3601, 540, 4238, 607, 2994, 547, 9062, 543, 7941, 7787, 2338, 780, 278, 269, 10064, 269, 273, 323, 910, 22417, 513, 7787, 1297, 547, 513, 8918, 1210, 1279, 6498, 282, 917, 602, 519, 8918, 1106, 540, 513, 7787, 1297, 2165, 7149, 538, 14642, 610, 5555, 28197, 780, 278, 269, 10064, 269, 274, 910, 16534, 1483, 8996, 543, 6310, 2042, 5473, 519, 2185, 4238, 609, 7787, 2338, 780, 18184, 1841, 585, 19556, 6657, 692, 6573, 269, 272, 5269, 2631, 540, 2042, 543, 829, 572, 3164, 538, 6061, 873, 780, 6573, 269, 273, 17217, 7493, 569, 543, 11050, 569, 780, 6573, 269, 274, 7844, 609, 6128, 780, 20373, 540, 5149, 692, 763, 1770, 968, 23330, 725, 609, 21929, 10606, 892, 689, 11908, 11298, 292, 6212, 593, 1620, 540, 4238, 540, 7787, 2338, 269, 4841, 8831, 3105, 1620, 540, 5665, 609, 8454, 547, 4946, 267, 18946, 267, 14921, 267, 543, 12270, 7787, 2338, 269, 634, 1770, 568, 533, 3166, 547, 476, 736, 268, 1839, 2395, 543, 5161, 540, 476, 279, 2773, 4247, 269, 3962, 4305, 568, 4843, 538, 513, 1483, 8996, 2796, 543, 2636, 1053, 547, 1020, 741, 1378, 2994, 269, 4841, 2203, 519, 4238, 540, 7787, 2338, 538, 2789, 2081, 543, 1413, 585, 3270, 538, 1931, 547, 5352, 6620, 780, 25519, 1903, 692, 21010, 19107, 3610, 1058, 581, 3222, 602, 2773, 4247, 798, 711, 2697, 799, 4441, 630, 20880, 610, 2259, 264, 616, 1373, 9619, 269, 634, 1770, 1281, 711, 1331, 519, 1739, 3334, 1384, 1892, 3889, 585, 7598, 543, 11264, 2773, 4247, 269, 1703, 616, 1100, 14292, 4967, 630, 24987, 10569, 267, 6299, 7879, 267, 2875, 960, 5439, 1916, 1892, 15285, 610, 7028, 585, 1053, 2324, 1657, 270, 10964, 578, 3446, 1377, 267, 2296, 1893, 6267, 267, 610, 1053, 609, 9124, 563, 1892, 513, 14805, 894, 2773, 4305, 610, 824, 1826, 540, 14805, 894, 4879, 563, 1892, 1703, 568, 1152, 3908, 946, 540, 2029, 269, 0, 258, 9050, 18695, 540, 8728, 476, 276, 9492, 1142, 616, 5116, 2427, 676, 2427, 543, 12758, 1927, 269, 604, 519, 9018, 2627, 4805, 568, 13556, 693, 476, 4968, 8297, 701, 525, 829, 25451, 2695, 516, 267, 22772, 519, 1942, 540, 7206, 780, 272, 454, 2421, 31670, 592, 305, 1195, 1556, 454, 680, 345, 4194, 621, 692, 1012, 12226, 692, 1001, 278, 268, 4905, 268, 5400, 307, 1691, 281, 1839, 281, 866, 266, 4962, 281, 1789, 454, 2252, 1079, 18695, 616, 8678, 267, 1287, 519, 25739, 3337, 786, 581, 513, 7750, 1355, 543, 519, 3259, 540, 602, 7750, 1355, 786, 581, 7466, 519, 6316, 540, 1142, 13306, 14720, 1348, 628, 543, 4463, 616, 519, 6316, 540, 13306, 563, 11997, 32586, 3259, 540, 519, 7750, 1355, 10857, 6661, 273, 265, 276, 284, 1015, 9492, 454, 289, 1348, 628, 540, 519, 7750, 1355, 6357, 6661, 276, 9492, 454, 3891, 697, 540, 519, 7750, 1355, 22607, 6661, 276, 9492, 454, 13707, 2627, 1858, 540, 519, 7750, 1355, 284, 273, 314, 331, 321, 17070, 327, 266, 331, 327, 2639, 284, 273, 27007, 1015, 265, 276, 11924, 263, 276, 265, 276, 11924, 263, 1015, 265, 276, 22708, 284, 273, 263, 2004, 266, 1839, 266, 2004, 994, 284, 273, 263, 10219, 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 ]
[ 269, 2991, 12158, 543, 10543, 5433, 4411, 563, 275, 628, 281, 13192, 344, 543, 7646, 1376, 269, 24761, 1145, 2799, 998, 519, 1554, 1498, 21617, 2011, 8452, 1472, 546, 23677, 563, 276, 628, 281, 6129, 5500, 267, 15470, 344, 1376, 609, 513, 1906, 12269, 689, 942, 547, 942, 269, 634, 15470, 30174, 782, 1554, 593, 519, 6371, 563, 277, 628, 281, 6129, 5500, 543, 4411, 1376, 267, 15470, 24850, 693, 476, 1556, 600, 547, 4734, 7646, 1922, 324, 9934, 2038, 12784, 269, 13192, 5394, 2989, 609, 4764, 21945, 1175, 1354, 476, 275, 10975, 543, 9434, 513, 7008, 540, 3108, 269, 7843, 335, 2799, 998, 519, 3781, 563, 278, 628, 281, 13192, 344, 543, 7646, 1376, 563, 279, 628, 281, 13192, 344, 543, 1360, 5134, 344, 593, 4155, 547, 4400, 16047, 269, 2368, 6505, 28542, 689, 476, 1015, 269, 1789, 600, 269, 1849, 537, 3429, 538, 1586, 538, 519, 12784, 855, 7646, 563, 280, 628, 281, 13192, 344, 267, 14927, 1376, 609, 4764, 10825, 538, 693, 544, 1342, 599, 1287, 26742, 611, 1227, 883, 519, 12784, 269, 13068, 28542, 16074, 563, 1015, 628, 281, 13192, 344, 1376, 609, 9642, 21386, 2282, 29869, 563, 1556, 628, 281, 6129, 5500, 521, 691, 609, 1175, 513, 1906, 15921, 15252, 267, 713, 15921, 15252, 2799, 689, 942, 547, 942, 563, 1321, 628, 281, 13192, 344, 543, 16830, 1376, 269, 29035, 838, 9231, 693, 476, 1556, 600, 1354, 1292, 4764, 8452, 693, 29869, 1107, 1287, 986, 1441, 998, 519, 12784, 543, 10917, 12628, 269, 18614, 540, 6777, 538, 24900, 693, 476, 13679, 271, 345, 269, 16176, 538, 25548, 619, 15842, 758, 693, 476, 277, 10975, 799, 5795, 513, 8720, 540, 476, 5390, 6777, 543, 1793, 2313, 799, 16768, 998, 2394, 476, 280, 600, 593, 6371, 543, 6517, 269, 3807, 936, 476, 2004, 260, 540, 6371, 4988, 563, 1724, 628, 281, 24761, 1376, 267, 6777, 1166, 584, 1845, 10825, 538, 693, 476, 280, 269, 1789, 600, 609, 18219, 16802, 693, 476, 1015, 269, 1015, 600, 1107, 6777, 16768, 11489, 1472, 29869, 1287, 729, 1175, 31063, 1107, 1100, 2417, 13250, 269, 12019, 16074, 1498, 1932, 1454, 30089, 585, 2011, 15470, 563, 1691, 628, 281, 13192, 344, 1376, 609, 930, 5671, 14794, 693, 29869, 269, 7581, 2130, 12784, 609, 2038, 2666, 15470, 1354, 7432, 31063, 693, 476, 272, 600, 609, 4764, 538, 519, 2038, 3108, 563, 1428, 628, 281, 8752, 4764, 547, 1376, 543, 9991, 593, 543, 1055, 2394, 476, 274, 10975, 563, 1626, 628, 281, 8752, 4764, 547, 1376, 799, 4682, 593, 883, 519, 6640, 7064, 547, 513, 23740, 12966, 540, 4764, 1107, 519, 1267, 540, 1373, 593, 519, 10465, 540, 1079, 2011, 13999, 563, 1704, 628, 281, 24761, 1376, 609, 6531, 543, 1769, 15470, 267, 519, 6531, 21757, 609, 4411, 4395, 1055, 519, 11782, 269, 12019, 267, 26546, 12784, 4553, 609, 15470, 4166, 1310, 4158, 563, 1240, 628, 281, 6129, 5500, 267, 1360, 4411, 1376, 609, 15191, 15333, 2812, 2066, 519, 6607, 269, 6129, 5500, 782, 1554, 27502, 609, 15470, 1310, 4158, 1107, 711, 607, 4411, 607, 3105, 3781, 1107, 5934, 729, 693, 476, 280, 600, 3105, 1554, 563, 866, 628, 281, 6129, 5500, 1376, 609, 513, 1906, 4963, 6350, 1472, 602, 1500, 585, 513, 20498, 21554, 269, 7843, 335, 3636, 539, 909, 18334, 982, 3105, 1554, 609, 15470, 17666, 269, 12019, 1586, 16074, 1498, 989, 2787, 540, 519, 2539, 6106, 15286, 10917, 9991, 2417, 982, 476, 275, 269, 272, 290, 563, 736, 628, 281, 6129, 5500, 267, 1360, 4411, 1376, 609, 15470, 563, 2641, 560, 281, 6129, 5500, 267, 1360, 4411, 1376, 609, 24106, 782, 1554, 267, 29778, 29886, 782, 1554, 538, 519, 12094, 1107, 519, 2666, 1631, 4224, 2182, 269, 12019, 652, 3781, 2094, 5130, 476, 1001, 274, 563, 2420, 526, 281, 6129, 5500, 267, 1360, 4411, 1376, 609, 5230, 15470, 269, 634, 15470, 19388, 1229, 782, 1554, 538, 519, 12094, 269, 5695, 940, 5134, 344, 693, 546, 23677, 609, 10053, 15649, 540, 16171, 20893, 3384, 269, 6271, 9793, 15470, 609, 513, 476, 1240, 268, 6187, 1970, 540, 910, 275, 269, 279, 290, 563, 2537, 6113, 281, 674, 690, 4445, 1376, 609, 10053, 267, 16171, 15649, 593, 654, 534, 560, 1737, 4469, 1846, 269, 774, 27903, 538, 519, 8498, 1498, 1869, 18476, 269, 634, 20893, 729, 1459, 883, 27538, 5682, 563, 2190, 628, 281, 27190, 344, 1376, 609, 24790, 540, 5394, 20893, 15649, 2938, 593, 519, 4469, 1846, 269, 1703, 12898, 13566, 543, 16990, 538, 519, 24106, 563, 1839, 628, 281, 674, 690, 4445, 1376, 1498, 930, 24850, 855, 1869, 2451, 5134, 344, 6640, 269, 28214, 4411, 607, 2842, 2799, 269, 2368, 1166, 584, 1845, 540, 6777, 693, 476, 279, 269, 1789, 600, 563, 2918, 628, 281, 13192, 344, 543, 4411, 267, 4743, 6151, 538, 519, 2842, 609, 1166, 584, 1845, 540, 6777, 602, 12306, 593, 17362, 906, 538, 654, 534, 560, 1737, 269, 12019, 543, 6151, 998, 519, 1554, 609, 9642, 2312, 8884, 1107, 10917, 9782, 547, 476, 271, 269, 273, 290, 1175, 1354, 546, 23677, 865, 1100, 4672, 1554, 269, 21708, 23498, 16074, 609, 15470, 1354, 6531, 18202, 538, 609, 9642, 1166, 820, 540, 6777, 563, 2767, 628, 281, 24761, 855, 609, 6531, 5394, 2287, 693, 476, 280, 269, 1789, 600, 609, 9793, 17643, 267, 1287, 17321, 269, 1744, 17369, 17643, 693, 476, 14681, 271, 609, 2999, 276, 7825, 30339, 543, 8593, 693, 476, 736, 7825, 10774, 337, 269, 2368, 20498, 15921, 592, 517, 12494, 639, 563, 2764, 628, 281, 13192, 344, 1376, 1498, 609, 930, 21386, 2394, 476, 1556, 600, 563, 3066, 628, 281, 13192, 344, 267, 9602, 4365, 782, 1554, 563, 1789, 628, 281, 13192, 344, 267, 796, 1231, 25378, 1554, 269, 2368, 1769, 4764, 693, 476, 273, 600, 563, 4029, 560, 281, 13192, 344, 609, 4764, 3168, 2693, 269, 14175, 8452, 538, 10543, 543, 8593, 23557, 1836, 998, 519, 3781, 543, 1310, 21554, 563, 2467, 941, 930, 8037, 4365, 17408, 1115, 689, 1472, 519, 5177, 563, 2005, 729, 849, 513, 3923, 540, 26037, 538, 2342, 543, 11992, 269, 3371, 616, 513, 1906, 1806, 594, 17408, 9643, 2429, 5130, 563, 296, 3314, 519, 5130, 476, 2735, 278, 11963, 899, 621, 729, 19108, 269, 594, 8910, 11231, 547, 3251, 609, 1250, 31225, 543, 11515, 538, 513, 6917, 851, 540, 5045, 10507, 16303, 269, 634, 9472, 676, 27950, 15966, 2532, 650, 593, 519, 11016, 3781, 729, 585, 513, 4411, 15964, 609, 2009, 6777, 1166, 584, 1845, 2282, 519, 5032, 269, 2048, 6546, 3580, 798, 8730, 594, 2219, 563, 296, 9575, 513, 4571, 2173, 528, 940, 5721, 689, 7931, 5112, 593, 519, 14349, 6640, 269, 1306, 594, 771, 10603, 1046, 539, 693, 14105, 548, 662, 594, 729, 28280, 676, 875, 4411, 621, 8604, 547, 723, 5828, 269, 634, 7227, 693, 519, 1668, 3247, 729, 1500, 8338, 607, 1250, 11515, 729, 16607, 538, 16116, 803, 909, 282, 513, 3109, 16463, 29075, 594, 729, 9849, 693, 519, 942, 729, 11207, 16283, 563, 5591, 2339, 267, 1498, 267, 607, 594, 729, 4166, 3636, 539, 909, 593, 8757, 1250, 31225, 779, 2777, 267, 5280, 2417, 676, 2295, 344, 1753, 5986, 269, 14349, 729, 6170, 6117, 5180, 6917, 10507, 16303, 281, 1250, 11515, 6785, 513, 1906, 6705, 543, 729, 513, 16994, 986, 3387, 2401, 269, 1284, 15336, 513, 5547, 1472, 670, 8911, 7615, 13111, 563, 296, 1589, 649, 14478, 7982, 547, 519, 8892, 602, 3781, 269, 1635, 519, 942, 594, 4682, 547, 5127, 594, 3314, 972, 729, 513, 7452, 532, 540, 6777, 593, 519, 2666, 269, 1280, 930, 2601, 594, 6854, 24971, 909, 267, 1142, 942, 3168, 3544, 547, 1294, 519, 1628, 5346, 540, 6777, 563, 2467, 729, 1472, 2185, 6279, 676, 6640, 543, 267, 1310, 14254, 267, 594, 4682, 609, 1250, 11515, 585, 513, 5397, 1472, 519, 1482, 6917, 9634, 607, 14349, 269, 634, 13111, 729, 4098, 547, 4672, 936, 543, 594, 3314, 1250, 11515, 2542, 513, 18278, 26282, 543, 6031, 602, 621, 729, 968, 572, 1597, 5232, 540, 15470, 9731, 2691, 594, 2451, 14105, 548, 662, 602, 10543, 519, 6777, 729, 9991, 5394, 543, 3728, 543, 519, 5721, 8604, 547, 581, 21409, 14887, 982, 8912, 269, 1879, 621, 8959, 547, 1847, 689, 30715, 7615, 6728, 1310, 476, 1015, 3764, 594, 6785, 1945, 729, 909, 282, 519, 9856, 9307, 602, 519, 14743, 1185, 13792, 547, 519, 13475, 269, 15526, 771, 10603, 1046, 539, 543, 9575, 1776, 269, 2991, 6028, 30715, 7615, 594, 8068, 602, 519, 6777, 3382, 7930, 8519, 267, 609, 1175, 606, 476, 6005, 1606, 13610, 899, 8720, 538, 7931, 5112, 563, 7069, 10982, 599, 693, 2348, 2451, 513, 5162, 4898, 1633, 538, 14105, 548, 662, 20374, 593, 24971, 909, 593, 519, 11728, 6640, 543, 7487, 513, 1434, 1906, 6279, 1185, 15468, 563, 289, 6195, 16505, 9724, 1459, 619, 18205, 569, 5143, 721, 875, 3983, 1919, 941, 269, 634, 1772, 548, 540, 2701, 653, 5674, 729, 2759, 1055, 543, 5721, 2533, 941, 16094, 4299, 1107, 594, 4769, 1406, 979, 547, 1153, 2899, 602, 3018, 1317, 519, 30079, 941, 13792, 269, 1280, 2899, 519, 2175, 267, 10630, 538, 713, 22089, 689, 774, 1868, 5240, 267, 20083, 519, 1728, 701, 563, 292, 770, 5507, 281, 5484, 645, 659, 541, 23579, 729, 2713, 538, 631, 850, 7736, 538, 476, 2735, 278, 269, 1261, 1767, 281, 968, 296, 729, 2713, 593, 519, 476, 1428, 628, 6989, 540, 513, 13486, 3625, 693, 519, 942, 269, 634, 12675, 4411, 3361, 519, 1292, 1216, 1567, 518, 883, 519, 3625, 547, 19068, 865, 1100, 835, 538, 5176, 476, 6110, 1166, 1846, 630, 11004, 941, 513, 6292, 540, 7161, 264, 1185, 4881, 454, 4248, 269, 898, 5828, 856, 547, 581, 2009, 547, 7148, 883, 519, 3677, 8265, 1292, 454, 5976, 513, 1796, 1790, 6559, 563, 15430, 636, 2406, 519, 3586, 946, 6854, 621, 4881, 1498, 454, 296, 8910, 723, 2219, 621, 1131, 723, 547, 581, 6569, 693, 3781, 269, 594, 1810, 1406, 11291, 454, 6011, 1279, 602, 16768, 855, 621, 729, 811, 982, 513, 7008, 540, 2395, 3034, 12709, 4032, 625, 281, 6723, 4425, 1054, 267, 945, 729, 2713, 538, 661, 6137, 267, 10507, 16303, 267, 693, 519, 942, 267, 6045, 875, 519, 4365, 4299, 1864, 281, 968, 4002, 519, 11728, 630, 1321, 270, 272, 270, 9262, 264, 594, 10483, 513, 1895, 540, 1762, 5640, 547, 519, 3163, 7467, 269, 6736, 519, 4411, 543, 6777, 789, 941, 6126, 547, 3802, 547, 519, 6728, 630, 663, 789, 1969, 539, 2933, 1040, 898, 729, 513, 9490, 8289, 547, 1294, 454, 2750, 22128, 10003, 4988, 538, 602, 5394, 6960, 880, 13792, 7452, 799, 4386, 454, 15290, 5210, 616, 27229, 1932, 1970, 585, 2126, 547, 581, 2500, 563, 8253, 865, 1434, 3377, 585, 519, 1153, 8122, 267, 2705, 269, 898, 5555, 1185, 547, 581, 454, 516, 31419, 1310, 513, 1216, 7382, 9706, 6559, 16802, 1310, 513, 555, 1177, 3034, 24730, 267, 945, 10443, 513, 4365, 6728, 538, 661, 6137, 267, 3773, 281, 968, 4002, 476, 1321, 270, 272, 270, 9262, 519, 5021, 2837, 538, 661, 6137, 729, 910, 279, 269, 271, 322, 543, 519, 5934, 729, 910, 1015, 269, 271, 290, 269, 634, 2048, 338, 852, 3178, 13506, 685, 729, 1360, 14869, 32065, 4149, 292, 609, 10323, 10507, 16303, 27582, 5507, 543, 715, 13573, 8391, 1454, 3152, 8813, 982, 4025, 899, 661, 6137, 269, 1717, 267, 621, 729, 519, 4049, 15470, 602, 3361, 1082, 454, 2889, 21793, 267, 3226, 538, 4587, 5656, 3034, 291, 1511, 12397, 6202, 267, 513, 19622, 10196, 267, 689, 700, 664, 18484, 267, 10507, 16303, 267, 1767, 281, 968, 296, 729, 2324, 607, 606, 10512, 10196, 693, 513, 21137, 2126, 2030, 538, 14175, 5069, 2073, 10507, 16303, 269, 630, 26780, 16907, 965, 540, 670, 26205, 267, 630, 3286, 7532, 540, 5507, 1040, 594, 3314, 621, 1134, 1317, 585, 519, 1101, 942, 4896, 1223, 3314, 519, 21137, 729, 16171, 593, 10024, 519, 1568, 998, 519, 9584, 13063, 267, 12946, 538, 2247, 602, 21137, 568, 13576, 11895, 543, 4358, 1055, 3833, 3636, 267, 2356, 538, 5162, 21945, 693, 827, 476, 1015, 268, 1321, 290, 563, 17606, 729, 513, 2101, 4702, 1966, 1317, 519, 3002, 729, 1373, 5342, 2476, 676, 519, 4496, 13063, 543, 4672, 2679, 909, 543, 17527, 519, 2095, 269, 901, 1223, 5732, 723, 3361, 25380, 909, 540, 6634, 540, 17529, 540, 6151, 21137, 269, 589, 5100, 11653, 1500, 930, 1561, 14876, 5122, 28909, 547, 3514, 593, 519, 13063, 543, 649, 21534, 7372, 13545, 335, 4954, 1231, 547, 2322, 593, 519, 5087, 2427, 547, 2119, 543, 2759, 1524, 519, 2842, 28306, 269, 898, 5249, 513 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5228, 2979, 1104, 32494, 267, 5430, 267, 16009, 267, 5609, 454, 836, 815, 10581, 9272, 3488, 14707, 924, 19804, 2587, 25222, 29125, 11420, 334, 815, 5609, 263, 2784, 2103, 263, 836, 4917, 322, 1601, 815, 5430, 263, 2784, 2103, 263, 836, 4917, 339, 836, 815, 16009, 263, 2784, 2103, 263, 836, 4917, 2745, 3488, 302, 2587, 25222, 632, 15079, 23263, 1661, 522, 6845, 334, 632, 2715, 15545, 273, 325, 348, 262, 1547, 8971, 263, 836, 267, 6845, 334, 4917, 2745, 3488, 334, 2587, 25222, 632, 15079, 23263, 1661, 522, 524, 1601, 523, 334, 632, 2715, 15545, 273, 325, 348, 262, 1547, 8971, 263, 836, 267, 524, 1601, 4917, 2745, 3488, 302, 2587, 25222, 632, 15079, 23263, 1661, 513, 17242, 324, 632, 2715, 15545, 273, 325, 348, 262, 1547, 8971, 263, 836, 267, 8126, 4917, 0, 5228, 2979, 1104, 959, 15635, 454, 11133, 815, 10581, 9272, 3488, 14707, 924, 19804, 1003, 3266, 29125, 842, 324, 10098, 815, 959, 15635, 16325, 994, 2745, 3488, 288, 11188, 23843, 703, 324, 4275, 632, 15079, 20527, 15079, 262, 1547, 8971, 16325, 267, 703, 324, 10098, 11723, 0, 696, 815, 703, 9272, 3488, 14707, 924, 522, 623, 6020, 10933, 296, 4629, 570, 2207, 19616, 281, 1412, 4917, 337, 345, 815, 703, 9272, 3488, 14707, 924, 513, 17241, 313, 12728, 302, 281, 1412, 4917, 4135, 815, 28887, 1341, 630, 1015, 2608, 678, 345, 994, 2745, 3488, 11675, 476, 1015, 6305, 328, 4592, 2165, 657, 13005, 623, 6993, 635, 11788, 10098, 2165, 334, 15079, 552, 681, 1794, 14244, 15079, 521, 14244, 281, 29717, 8971, 263, 696, 267, 678, 345, 4917, 1721, 513, 538, 2039, 263, 696, 267, 678, 339, 267, 678, 345, 2187, 825, 1820, 3488, 24001, 8339, 8971, 5416, 1070, 1439, 8782, 1412, 264, 0, 25659, 822, 6652, 815, 1412, 777, 19810, 3299, 1412, 32491, 541, 3299, 1412, 1782, 340, 720, 332, 3299, 1412, 7090, 3299, 1412, 2017, 810, 3299, 315, 454, 262, 326, 7806, 529, 3299, 1412, 652, 644, 541, 3299, 1412, 1440, 1738, 541, 3299, 1412, 10177, 4472, 9618, 3299, 1412, 1067, 322, 5964, 3299, 315, 454, 262, 32491, 11456, 3299, 1412, 325, 583, 1755, 3299, 1412, 12711, 12711, 12711, 7055, 341, 7541, 529, 815, 1412, 7055, 341, 815, 1412, 320, 3299, 1412, 324, 3299, 1412, 328, 3299, 1412, 334, 3299, 1412, 340, 7055, 1721, 5493, 822, 571, 538, 5493, 822, 6652, 912, 825, 733, 815, 476, 271, 454, 825, 1990, 815, 1592, 9638, 531, 822, 571, 994, 825, 1247, 7003, 18750, 264, 3436, 733, 912, 1038, 952, 1990, 314, 4186, 316, 538, 642, 912, 2018, 642, 7541, 529, 6834, 1990, 314, 4186, 2639, 1038, 733, 6834, 476, 272, 454, 825, 1820, 6600, 262, 27845, 5493, 822, 571, 2715, 25659, 822, 571, 348, 1661, 657, 281, 2715, 341, 7541, 529, 348, 30386, 825, 642, 7541, 529, 815, 1412, 7055, 0, 333, 727, 815, 1193, 9272, 3488, 10387, 6446, 524, 573, 1228, 4938, 17845, 13439, 576, 340, 286, 1412, 26895, 29328, 4590, 2745, 3799, 727, 314, 271, 281, 276, 4940, 21639, 3890, 2652, 1412, 306, 3198, 15674, 17210, 692, 18257, 333, 727, 815, 1193, 9272, 3488, 304, 783, 562, 727, 13005, 647, 320, 524, 573, 1228, 286, 10807, 1040, 29328, 4590, 325, 333, 815, 1193, 3799, 727, 21858, 15405, 2745, 3488, 338, 27053, 262, 514, 535, 333, 31573, 28829, 18257, 692, 0, 2254, 320, 272, 815, 10581, 9272, 3488, 304, 783, 9087, 328, 647, 320, 6305, 4275, 711, 320, 286, 29125, 2254, 320, 273, 815, 10581, 9272, 3488, 304, 783, 9087, 328, 647, 320, 5302, 1495, 320, 711, 320, 286, 29125, 2254, 320, 274, 815, 10581, 9272, 3488, 304, 783, 9087, 328, 647, 320, 1768, 576, 4275, 711, 320, 286, 29125, 332, 4215, 815, 630, 2254, 320, 272, 1341, 711, 320, 273, 1341, 711, 320, 274, 264, 1315, 476, 274, 454, 604, 2923, 13843, 476, 278, 912, 825, 1820, 3488, 288, 647, 320, 544, 2946, 29953, 9087, 328, 2715, 15545, 273, 325, 348, 4938, 17845, 9087, 328, 589, 25075, 5964, 256, 8339, 8971, 9852, 4215, 4917, 19197, 2923, 2652, 476, 276, 912, 825, 1820, 3488, 288, 647, 320, 544, 2946, 29953, 9087, 328, 2715, 15545, 273, 325, 348, 4938, 17845, 1609, 320, 632, 5589, 10967, 320, 23843, 256, 8339, 8971, 9852, 4215, 4917, 19197, 2923, 2999, 476, 276, 912, 825, 1820, 3488, 288, 647, 320, 544, 2946, 29953, 9087, 328, 2715, 15545, 273, 325, 348, 4938, 17845, 1609, 320, 3115, 22201, 5964, 256, 8339, 8971, 9852, 4215, 4917, 0, 2745, 3488, 8782, 265, 736, 994, 2745, 3488, 21020, 17129, 3918, 772, 7246, 623, 8577, 29151, 5073, 2745, 3488, 8782, 265, 736, 994, 4186, 328, 815, 598, 1091, 815, 733, 325, 815, 733, 332, 815, 476, 271, 454, 6112, 6936, 912, 825, 7329, 1228, 815, 703, 9272, 3488, 14707, 924, 513, 9517, 32767, 281, 29125, 825, 952, 7329, 1228, 3436, 476, 1240, 912, 1038, 733, 328, 6834, 476, 272, 454, 825, 1247, 6936, 912, 1038, 3023, 334, 815, 1193, 9272, 2891, 14707, 924, 522, 10323, 311, 302, 281, 1496, 300, 6012, 293, 316, 834, 26895, 21639, 14061, 29328, 3890, 314, 271, 2639, 1038, 952, 3023, 334, 711, 538, 1412, 293, 267, 631, 12466, 2018, 1820, 6600, 262, 346, 16303, 334, 348, 29189, 334, 1045, 531, 18480, 256, 5073, 1038, 3116, 912, 2018, 952, 3023, 334, 538, 1412, 293, 262, 543, 7329, 1228, 2999, 476, 736, 912, 3546, 733, 325, 6834, 476, 272, 454, 2018, 8640, 3023, 334, 538, 1412, 300, 12466, 3546, 733, 332, 6834, 476, 272, 454, 1038, 2736, 454, 825, 1820, 3488, 8782, 265, 2190, 994, 825, 1007, 815, 1193, 9272, 3488, 5226, 518, 2585, 541, 286, 1496, 306, 6012, 301, 316, 10807, 1040, 21639, 14061, 29328, 3890, 314, 271, 2639, 825, 1820, 3488, 8782, 265, 2190, 994, 825, 952, 1007, 538, 1412, 301, 12466, 1038, 2736, 454, 2745, 3488, 8782, 265, 3451, 994, 2745, 3488, 293, 8379, 11298, 11550, 16165, 24717, 5073, 2745, 6600, 262, 300, 320, 1470, 637, 632, 7329, 1228, 281, 2715, 4186, 328, 348, 5073, 2745, 6600, 262, 295, 558, 839, 20017, 770, 2784, 657, 281, 2715, 4186, 332, 348, 5073, 2745, 6600, 262, 300, 592, 12742, 635, 2367, 657, 632, 476, 736, 606, 657, 281, 2715, 4186, 325, 348, 5073, 2745, 3488, 8782, 265, 3451, 264, 0, 5228, 30220, 1104, 4266, 454, 520, 783, 815, 4266, 6745, 3736, 14061, 20204, 454, 531, 815, 476, 271, 454, 2522, 815, 476, 271, 454, 1721, 14255, 538, 2039, 263, 272, 267, 476, 279, 2187, 825, 547, 323, 553, 815, 703, 9272, 3488, 304, 783, 513, 1239, 632, 562, 2444, 2939, 286, 1412, 4917, 825, 7329, 1228, 815, 693, 783, 910, 547, 323, 553, 454, 825, 952, 7329, 1228, 13843, 476, 2641, 912, 1038, 620, 6834, 476, 272, 454, 825, 3116, 912, 1038, 562, 531, 6834, 476, 272, 454, 2745, 3488, 24001, 623, 612, 334, 553, 795, 320, 620, 626, 541, 600, 8339, 8971, 263, 531, 4917, 2745, 3488, 24001, 623, 612, 334, 553, 562, 14244, 620, 626, 541, 600, 8339, 8971, 263, 2522, 4297, 0, 18851, 25363, 618, 513, 1599, 16571, 643, 569, 547, 1205, 519, 5551, 454, 293, 756, 20906, 5311, 1871, 563, 7312, 3009, 1058, 723, 519, 1482, 3403, 270, 16059, 607, 519, 454, 3438, 894, 3009, 538, 519, 5528, 27969, 692, 3698, 1205, 6958, 756, 263, 6570, 2187, 825, 5727, 23990, 912, 825, 476, 272, 269, 1403, 2990, 13292, 609, 3490, 2665, 263, 271, 543, 476, 272, 264, 1287, 454, 1038, 2132, 519, 2990, 269, 1775, 4318, 563, 1038, 476, 272, 269, 272, 1403, 2990, 2652, 476, 271, 454, 3546, 2132, 476, 271, 454, 1038, 476, 272, 269, 273, 1403, 2990, 2652, 476, 272, 454, 3546, 2132, 476, 272, 454, 825, 476, 273, 269, 22527, 2132, 1840, 540, 3105, 1079, 2418, 454, 825, 8173, 825, 952, 2990, 2652, 476, 271, 610, 2990, 2652, 476, 272, 912, 1038, 2132, 2990, 454, 825, 3116, 912, 1038, 2132, 1205, 6958, 756, 263, 6570, 910, 476, 272, 264, 1341, 1205, 6958, 756, 263, 6570, 910, 476, 273, 2020, 825, 2132, 910, 272, 692, 258, 4530, 2665, 454, 2745, 1205, 6958, 756, 263, 280, 994, 2745, 1205, 6958, 756, 263, 1556, 994, 2745, 1205, 6958, 756, 263, 271, 994, 0, 5814, 10070, 7531, 5035, 19219, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1239, 2187, 1038, 1582, 21606, 815, 1239, 454, 1038, 1582, 6983, 660, 815, 476, 271, 454, 1038, 1582, 269, 18876, 815, 15079, 7531, 5035, 570, 4471, 912, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 23584, 815, 19219, 263, 14085, 2020, 825, 1219, 7696, 4311, 267, 5569, 2187, 1038, 28364, 815, 1582, 23584, 454, 1038, 28364, 6983, 660, 6834, 476, 272, 692, 1038, 585, 524, 538, 5569, 912, 2018, 952, 524, 711, 538, 28364, 269, 18876, 912, 3546, 28364, 269, 18876, 314, 322, 316, 815, 19219, 6262, 994, 2018, 28364, 815, 28364, 269, 18876, 314, 322, 2639, 2018, 28364, 6983, 660, 6834, 476, 272, 692, 825, 1219, 1293, 4311, 267, 18772, 2187, 1038, 28364, 815, 1582, 23584, 692, 1038, 585, 524, 538, 18772, 912, 2018, 952, 524, 711, 538, 28364, 269, 18876, 912, 3546, 2132, 476, 271, 454, 2018, 28364, 815, 28364, 269, 18876, 314, 322, 6540, 1038, 2132, 28364, 6983, 660, 7531, 339, 815, 703, 9272, 31156, 1721, 9041, 538, 2039, 6025, 2187, 825, 562, 815, 703, 9272, 15405, 825, 512, 1564, 815, 11713, 825, 585, 9041, 538, 2039, 3799, 2187, 1038, 512, 1564, 6910, 9272, 15405, 825, 13290, 815, 570, 4471, 10797, 825, 585, 22007, 538, 512, 1564, 912, 1038, 13290, 27044, 6025, 601, 994, 825, 568, 8256, 527, 1890, 815, 834, 312, 2464, 4840, 825, 585, 22007, 538, 512, 1564, 912, 1038, 952, 13290, 29644, 6025, 601, 264, 3436, 476, 272, 912, 2018, 568, 8256, 527, 1890, 815, 834, 17472, 4840, 2018, 2736, 454, 825, 1820, 263, 529, 8256, 527, 1890, 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 ]
[ 6912, 476, 273, 2410, 273, 348, 282, 535, 18257, 263, 343, 6661, 10559, 6523, 1535, 315, 574, 18680, 535, 18257, 7268, 13320, 3189, 7032, 2410, 275, 348, 6661, 10559, 13320, 3189, 6912, 476, 273, 2410, 273, 4151, 4935, 267, 1269, 335, 3709, 271, 12917, 343, 21174, 13320, 3189, 6912, 476, 273, 2410, 273, 348, 8607, 533, 3709, 272, 12917, 343, 21174, 13320, 3189, 6912, 476, 273, 2410, 273, 23180, 13320, 3189, 6912, 476, 273, 2410, 273, 12917, 343, 10559, 13320, 3189, 7032, 2410, 275, 16585, 8607, 335, 3709, 273, 12917, 343, 21174, 13320, 3189, 6912, 476, 273, 2410, 273, 23180, 13320, 3189, 6912, 476, 273, 2410, 273, 12917, 343, 10559, 13320, 3189, 7032, 2410, 275, 348, 9984, 315, 13320, 3189, 6912, 476, 273, 2410, 275, 12917, 343, 10559, 13320, 3189, 7032, 2410, 275, 348, 8203, 273, 8607, 335, 3709, 274, 12917, 343, 21174, 13320, 3189, 6912, 476, 273, 2410, 273, 23180, 13320, 3189, 6912, 476, 273, 2410, 273, 12917, 343, 10559, 13320, 3189, 7032, 2410, 275, 348, 9984, 315, 13320, 3189, 6912, 476, 273, 2410, 275, 12917, 343, 10559, 13320, 3189, 7032, 2410, 275, 348, 8203, 273, 266, 8987, 315, 13320, 3189, 6912, 476, 273, 2410, 273, 16585, 7268, 13320, 346, 272, 2410, 277, 348, 7565, 343, 10559, 13320, 3189, 7032, 2410, 275, 348, 8203, 274, 7807, 13320, 3189, 6912, 476, 273, 2410, 273, 23180, 13320, 3189, 6912, 476, 273, 2410, 273, 12917, 343, 10559, 13320, 3189, 7032, 2410, 275, 348, 9984, 315, 13320, 3189, 6912, 476, 273, 2410, 275, 12917, 343, 10559, 13320, 3189, 7032, 2410, 275, 348, 8203, 273, 10559, 13320, 3189, 6912, 476, 273, 2410, 1321, 12917, 343, 10559, 13320, 3189, 7032, 2410, 275, 348, 8203, 274, 259 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11833, 11545, 16721, 692, 14188, 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, 18128, 757, 1299, 8871, 19600, 692, 18128, 757, 1299, 8871, 19600, 538, 4873, 454, 15411, 26346, 25038, 692, 306, 568, 513, 1305, 540, 2067, 2338, 689, 476, 272, 547, 476, 1911, 4171, 10545, 692, 12041, 24606, 454, 307, 8980, 306, 912, 10048, 4526, 454, 16274, 281, 476, 2420, 4924, 476, 1220, 278, 454, 15803, 281, 476, 13679, 454, 27063, 281, 476, 273, 692, 20132, 19560, 476, 280, 1496, 271, 3910, 2016, 281, 476, 271, 692, 306, 568, 513, 1305, 540, 2067, 2338, 689, 476, 272, 547, 476, 1911, 4171, 10545, 1109, 28784, 21529, 316, 476, 1109, 736, 3057, 476, 1220, 278, 267, 476, 2641, 281, 4029, 454, 876, 281, 876, 692, 11795, 22187, 1384, 18217, 12458, 2020, 9223, 853, 1846, 1384, 271, 260, 630, 876, 281, 876, 264, 2953, 476, 271, 260, 630, 876, 281, 876, 264, 4636, 1759, 593, 476, 271, 7886, 454, 306, 568, 513, 1305, 540, 2067, 2338, 689, 476, 272, 547, 476, 1911, 4171, 10545, 6305, 3815, 568, 476, 276, 269, 1548, 568, 519, 5021, 1297, 540, 2609, 540, 519, 1305, 590, 2496, 10490, 264, 476, 278, 454, 16360, 264, 476, 280, 454, 18154, 264, 476, 1789, 454, 20573, 264, 476, 3953, 454, 27887, 264, 7183, 540, 891, 454, 25938, 1640, 15440, 454, 16274, 281, 476, 1556, 4924, 476, 1220, 278, 454, 15803, 281, 476, 3374, 280, 454, 27063, 281, 476, 272, 692, 20132, 19560, 476, 4375, 1496, 271, 3910, 2016, 281, 476, 271, 692, 276, 568, 835, 540, 519, 2188, 269, 1924, 621, 781, 513, 2789, 540, 476, 276, 780, 3383, 519, 2338, 1131, 581, 476, 276, 267, 476, 1015, 267, 476, 1428, 267, 476, 736, 267, 3267, 31756, 692, 7712, 476, 273, 568, 849, 6305, 602, 568, 4130, 982, 476, 276, 267, 23868, 782, 1256, 1297, 689, 519, 1592, 540, 2338, 630, 1015, 267, 476, 736, 267, 476, 1789, 267, 3092, 2020, 7712, 476, 274, 568, 849, 6305, 602, 568, 4130, 982, 476, 276, 267, 23868, 782, 1346, 602, 616, 23385, 540, 476, 274, 630, 1428, 267, 476, 3393, 267, 476, 4037, 267, 3092, 24355, 2791, 2811, 2451, 609, 476, 278, 2338, 630, 276, 267, 476, 1839, 267, 476, 3374, 267, 476, 4649, 267, 476, 4792, 267, 476, 5952, 267, 476, 4817, 6393, 10048, 4526, 454, 16274, 281, 476, 1321, 4924, 476, 1220, 278, 454, 15803, 281, 476, 15757, 454, 27063, 281, 476, 272, 692, 20132, 19560, 476, 272, 1496, 271, 3910, 2016, 281, 476, 271, 692, 3674, 972, 513, 1434, 1433, 267, 610, 513, 5458, 1305, 540, 10230, 1297, 3959, 2055, 888, 10048, 4526, 454, 16274, 281, 476, 2764, 4924, 476, 1220, 278, 454, 15803, 281, 476, 2735, 454, 19613, 281, 4993, 454, 27063, 281, 476, 273, 692, 20132, 19560, 476, 277, 1496, 271, 3910, 2016, 281, 476, 271, 692, 3725, 281, 13662, 910, 1297, 3601, 1109, 28784, 21529, 316, 476, 1109, 2641, 3057, 476, 1220, 278, 267, 476, 1015, 281, 1556, 454, 294, 7246, 1320, 2100, 995, 5206, 912, 306, 568, 513, 1305, 540, 2067, 2338, 689, 476, 272, 547, 476, 1911, 4171, 10545, 6305, 3815, 568, 476, 276, 269, 1548, 568, 519, 5021, 1297, 540, 2609, 540, 519, 1305, 590, 2496, 10490, 264, 476, 278, 454, 16360, 264, 476, 280, 454, 18154, 264, 476, 1789, 454, 20573, 264, 476, 3953, 454, 27887, 264, 7183, 540, 891, 692, 288, 454, 2467, 616, 476, 736, 2338, 630, 2056, 538, 476, 276, 543, 476, 271, 264, 945, 723, 513, 6305, 3815, 540, 476, 276, 269, 4934, 540, 891, 782, 2338, 10678, 538, 476, 271, 723, 476, 273, 607, 519, 10545, 6305, 3815, 865, 649, 1167, 731, 873, 269, 7324, 6967, 1152, 476, 276, 267, 476, 1839, 267, 476, 3374, 267, 476, 4649, 267, 476, 4792, 267, 476, 5952, 267, 476, 4817, 723, 476, 276, 607, 10545, 6305, 3815, 454, 25938, 1640, 15440, 454, 16274, 281, 476, 3066, 3967, 476, 1220, 278, 454, 15803, 281, 476, 14596, 454, 19613, 281, 3047, 454, 27063, 281, 476, 273, 692, 20132, 19560, 476, 2412, 1496, 271, 3910, 2016, 281, 476, 271, 692, 604, 596, 7747, 782, 519, 2009, 2338, 616, 1587, 540, 476, 276, 543, 6305, 2338, 602, 616, 3160, 547, 610, 3152, 982, 476, 276, 780, 2005, 814, 547, 581, 602, 1259, 585, 476, 273, 543, 476, 274, 547, 711, 4137, 856, 607, 835, 540, 519, 2188, 563, 13436, 3584, 1234, 18680, 7831, 2022, 454, 13436, 454, 12749, 923, 912, 1103, 513, 1305, 540, 2338, 689, 476, 1015, 547, 476, 1911, 476, 275, 476, 4962, 8734, 476, 1001, 274, 267, 476, 6734, 281, 1704, 454, 272, 769, 513, 1305, 540, 2338, 689, 476, 1911, 547, 476, 1911, 271, 8537, 267, 875, 1082, 476, 272, 476, 2767, 3967, 476, 1220, 279, 267, 476, 2420, 281, 2641, 454, 1103, 513, 1305, 540, 2338, 689, 476, 1911, 547, 476, 1911, 271, 8537, 267, 875, 1082, 476, 278, 476, 1691, 8734, 476, 1220, 278, 267, 476, 1704, 281, 7906, 454, 2252, 519, 10545, 1297, 538, 513, 1305, 540, 2318, 9981, 568, 476, 274, 267, 476, 279, 476, 2767, 4239, 476, 1220, 277, 267, 476, 6021, 281, 3953, 454, 13828, 519, 9832, 540, 476, 273, 8638, 616, 689, 476, 272, 547, 476, 1911, 267, 4171, 476, 274, 476, 1240, 4119, 476, 1220, 277, 267, 476, 6349, 281, 6187, 454, 11514, 2452, 9708, 689, 3105, 281, 23037, 676, 0, 258, 1403, 589, 2433, 645, 815, 476, 274, 2433, 476, 275, 267, 645, 2433, 595, 815, 476, 276, 2433, 476, 278, 543, 595, 2433, 667, 815, 476, 279, 2433, 476, 280, 1287, 589, 2433, 667, 568, 3160, 547, 1384, 2252, 589, 2433, 645, 815, 476, 274, 2433, 476, 275, 267, 645, 2433, 595, 815, 476, 276, 2433, 476, 278, 543, 595, 2433, 667, 815, 476, 279, 2433, 476, 280, 1287, 589, 2433, 667, 568, 3160, 547, 454, 314, 288, 316, 1015, 2433, 476, 2641, 454, 314, 289, 316, 2641, 2433, 476, 1015, 454, 314, 290, 316, 274, 2433, 476, 278, 454, 314, 291, 316, 278, 2433, 476, 274, 692, 1015, 2433, 476, 2641, 454, 259, 288, 2433, 667, 815, 1422, 2765, 31505, 2410, 291, 348, 815, 1422, 2765, 31505, 2410, 289, 4153, 9392, 1422, 2765, 346, 289, 2410, 290, 4153, 9392, 1422, 2765, 346, 290, 2410, 291, 21456, 259, 284, 1422, 2765, 346, 274, 2410, 275, 4153, 9392, 1422, 2765, 346, 276, 2410, 278, 4153, 9392, 1422, 2765, 346, 279, 2410, 280, 21456, 259, 27784, 1422, 2765, 346, 1015, 2410, 2641, 348, 815, 476, 1015, 2433, 476, 2641, 14204, 17798, 4781, 1496, 288, 316, 568, 519, 1318, 2626, 269, 0, 258, 1215, 666, 594, 6460, 606, 1843, 689, 835, 15304, 547, 1079, 15304, 5133, 2496, 10112, 2541, 594, 723, 513, 835, 15304, 5133, 5373, 540, 513, 4055, 267, 543, 594, 4312, 6537, 513, 14328, 4216, 1055, 547, 519, 2427, 267, 593, 519, 2666, 910, 519, 4395, 7077, 568, 6849, 519, 21951, 630, 718, 7285, 593, 713, 7077, 616, 476, 3445, 4113, 1070, 543, 519, 824, 7298, 5011, 630, 2431, 2427, 267, 543, 1283, 264, 616, 2587, 1194, 1394, 1759, 593, 741, 6935, 547, 519, 642, 4314, 532, 1448, 269, 1924, 621, 781, 513, 14328, 4055, 267, 519, 21951, 568, 7555, 538, 519, 1647, 6849, 519, 1394, 3774, 267, 543, 972, 781, 513, 4216, 2059, 519, 2451, 3774, 780, 3086, 8263, 602, 594, 1616, 547, 4734, 602, 4216, 1141, 621, 568, 267, 855, 17967, 621, 476, 1789, 4113, 610, 476, 3393, 4113, 269, 898, 1631, 7575, 883, 1079, 15304, 5133, 780, 1432, 594, 6415, 11842, 568, 267, 875, 798, 594, 3442, 519, 1079, 2798, 585, 602, 5133, 952, 594, 1616, 547, 2824, 513, 1808, 5086, 540, 10047, 630, 328, 4318, 269, 594, 1616, 547, 17967, 519, 4216, 4010, 476, 1789, 4113, 689, 519, 21951, 267, 3079, 540, 11617, 834, 12317, 267, 2673, 2614, 8442, 286, 594, 6415, 14322, 789, 1131, 581, 593, 519, 1482, 16880, 1899, 607, 519, 642, 4314, 532, 1448, 585, 519, 835, 15304, 5133, 780, 296, 1174, 519, 9238, 540, 5373, 538, 476, 273, 1448, 5133, 267, 855, 1175, 16116, 4351, 7285, 538, 519, 2796, 540, 606, 4540, 476, 272, 653, 4055, 2306, 519, 1843, 1745, 899, 621, 781, 834, 4148, 334, 908, 257, 910, 7132, 621, 3085, 1405, 2731, 2285, 1022, 2186, 540, 1852, 936, 3169, 7285, 780, 5575, 267, 713, 835, 781, 711, 2731, 513, 2656, 543, 2653, 2626, 267, 2523, 952, 596, 4312, 711, 519, 4143, 1374, 543, 1951, 7676, 1154, 4282, 910, 594, 1589, 596, 9364, 4324, 689, 2542, 14731, 667, 269, 918, 269, 932, 532, 781, 1433, 834, 19425, 3538, 1116, 29093, 257, 630, 2419, 532, 781, 11629, 1116, 29093, 593, 8835, 264, 799, 568, 849, 2139, 607, 606, 552, 26247, 1312, 593, 8835, 543, 11197, 2835, 780, 1432, 649, 798, 538, 519, 11265, 14745, 2361, 568, 17967, 938, 6221, 519, 9138, 2179, 538, 938, 1544, 2070, 17250, 267, 2721, 856, 519, 3515, 8220, 519, 8728, 2509, 938, 13749, 8672, 630, 10849, 13996, 264, 543, 4063, 1141, 789, 1780, 998, 519, 4605, 7077, 269, 4495, 596, 4312, 2944, 602, 585, 519, 9136, 693, 1142, 1439, 540, 835, 540, 707, 2666, 7077, 8880, 4780, 3101, 3515, 593, 519, 4216, 2427, 799, 596, 2811, 14291, 547, 513, 476, 273, 15304, 267, 596, 666, 1305, 707, 966, 303, 1759, 593, 14178, 602, 547, 707, 16880, 1467, 780, 2080, 616, 930, 4143, 2592, 689, 14731, 932, 532, 781, 1433, 5018, 1657, 910, 621, 781, 2731, 4502, 707, 1247, 547, 6718, 713, 1433, 780, 296, 849, 1419, 4363, 7812, 661, 269, 667, 1195, 548, 781, 834, 21760, 14301, 257, 607, 1776, 4199, 593, 4070, 540, 2596, 5380, 910, 621, 814, 930, 8748, 2489, 4480, 4901, 607, 1134, 607, 811, 4359, 5888, 531, 543, 7990, 5373, 2035, 780, 28775, 713, 2337, 780, 1892, 25999, 9735, 267, 9684, 596, 256, 1656, 594, 3513, 9090, 581, 3168, 883, 1312, 540, 1346, 2835, 910, 596, 2811, 1318, 267, 594, 1810, 1405, 723, 519, 4143, 4282, 267, 855, 594, 6415, 2141, 5461, 538, 1565, 1007, 1919, 256, 4455, 476, 1321, 267, 476, 1001, 280, 693, 476, 1240, 281, 6321, 692, 2791, 666, 1118, 23651, 5133, 4070, 269, 6423, 606, 1383, 1384, 2791, 723, 713, 835, 1448, 5133, 3239, 1384, 2467, 781, 10538, 18109, 267, 3039, 6989, 267, 15454, 1394, 3774, 543, 4544, 2427, 6821, 269, 634, 642, 4314, 532, 1448, 1341, 519, 16880, 1899, 616, 538, 519, 1647, 780, 2791, 4280, 875, 547, 1265, 1007, 642, 4314, 532, 2798, 585, 513, 1007, 5133, 3239, 952, 519, 2070, 568, 4957, 547, 991, 476, 273, 1448, 5133, 26759, 269, 519, 8254, 568, 6410, 3544, 519, 4055, 267, 855, 621, 1869, 814, 519, 1482, 15038, 26759, 269, 513, 3368, 540, 519, 4055, 4463, 543, 621, 2798, 1869, 547, 519, 1482, 16880, 780, 1607, 3884, 1405, 1151, 15344, 952, 596, 798, 711, 917, 875, 2620, 6712, 540, 519, 4055, 568, 538, 519, 3239, 26759, 269, 875, 1279, 568, 519, 7298, 9378, 540, 519, 6989, 543, 513, 3774, 538, 1482, 4559, 607, 519, 8700, 540, 519, 1394, 3774, 269, 2060, 713, 1702, 596, 666, 1265, 519, 3845, 1063, 519, 6728, 1448, 543, 519, 1394, 3774, 538, 519, 1482, 4559, 269, 1323, 4244, 2877, 1702, 568, 875, 2647, 5823, 5086, 568, 4904, 676, 519, 1394, 3774, 950, 621, 781, 4767, 689, 519, 6728, 1448, 269, 2060, 621, 596, 666, 849, 1747, 519, 6728, 1448, 538, 4395, 540, 519, 9196, 7077, 780, 4131, 781, 8263, 649, 917, 875, 1279, 538, 3448, 547, 519, 8700, 540, 519, 1394, 3774, 519, 7298, 9378, 1063, 519, 6989, 543, 513, 3774, 568, 7868, 1747, 540, 519, 9196, 7077, 568, 818, 321, 3202, 269, 898, 781, 3730, 547, 1747, 621, 795, 739, 693, 519, 1482, 3845, 1141, 519, 7298, 2127, 540, 519, 6821, 267, 6989, 543, 18109, 1439, 269, 1284, 798, 711, 991, 865, 1082, 8289, 3515, 1384, 14937, 4874, 1467, 13235, 291, 568, 519, 1283, 2070, 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 ]
[ 281, 512, 332, 14729, 1485, 630, 272, 424, 505, 498, 476, 272, 14602, 376, 423, 370, 478, 425, 482, 364, 29030, 502, 482, 28990, 361, 422, 373, 490, 424, 356, 478, 14091, 480, 510, 424, 356, 506, 424, 486, 502, 994, 258, 10563, 507, 372, 423, 491, 365, 424, 488, 353, 279, 281, 512, 332, 318, 529, 323, 560, 630, 424, 482, 361, 423, 357, 372, 425, 481, 478, 28990, 482, 10563, 510, 479, 424, 504, 358, 10563, 501, 361, 423, 370, 478, 2020, 258, 476, 272, 269, 942, 14091, 359, 357, 423, 497, 486, 29306, 494, 424, 482, 506, 2199, 5503, 3890, 476, 17432, 357, 424, 486, 502, 423, 354, 376, 10563, 508, 482, 425, 493, 361, 425, 488, 372, 17432, 502, 424, 482, 372, 424, 504, 498, 563, 5228, 942, 476, 1104, 2199, 5503, 454, 258, 476, 273, 269, 2199, 5503, 3890, 14602, 482, 10563, 507, 368, 424, 504, 358, 17432, 368, 942, 14714, 1192, 22710, 29030, 502, 499, 424, 489, 507, 14602, 502, 29030, 502, 482, 28990, 361, 424, 489, 506, 32174, 482, 14602, 482, 3593, 22710, 29306, 494, 10563, 510, 478, 28990, 354, 17432, 502, 424, 482, 372, 424, 504, 498, 563, 12528, 22710, 815, 2199, 5503, 4590, 258, 476, 274, 269, 3593, 22710, 14602, 502, 10563, 507, 372, 423, 491, 365, 424, 488, 353, 274, 21844, 364, 496, 14602, 482, 5662, 29306, 494, 10563, 510, 478, 28990, 354, 17432, 502, 424, 482, 372, 424, 504, 498, 563, 327, 712, 815, 3593, 22710, 314, 274, 2639, 258, 476, 275, 269, 3593, 22710, 14602, 502, 10563, 507, 372, 423, 491, 365, 424, 488, 353, 275, 21844, 364, 496, 14602, 482, 8792, 29306, 494, 10563, 510, 478, 28990, 354, 17432, 502, 424, 482, 372, 424, 504, 498, 563, 2381, 1393, 815, 3593, 22710, 314, 275, 2639, 258, 476, 276, 269, 3593, 22710, 14602, 502, 10563, 507, 372, 423, 491, 365, 424, 488, 353, 276, 21844, 364, 496, 14602, 482, 3813, 29306, 494, 10563, 510, 478, 28990, 354, 17432, 502, 424, 482, 372, 424, 504, 498, 563, 5913, 815, 3593, 22710, 314, 276, 2639, 258, 10563, 499, 482, 423, 508, 502, 32629, 498, 10563, 370, 506, 423, 510, 354, 14602, 482, 10563, 506, 482, 17432, 506, 10563, 377, 498, 423, 497, 506, 28990, 483, 21498, 486, 30319, 269, 10563, 486, 502, 32510, 499, 17432, 502, 424, 356, 478, 14091, 356, 486, 424, 482, 372, 424, 504, 498, 10756, 2745, 3488, 27338, 10563, 377, 498, 423, 497, 506, 32629, 498, 2999, 260, 323, 424, 489, 506, 4939, 323, 423, 370, 482, 4939, 323, 424, 368, 486, 285, 29306, 494, 10563, 489, 353, 425, 500, 487, 423, 494, 502, 29306, 486, 424, 488, 369, 21498, 486, 30319, 630, 7473, 290, 266, 6021, 281, 876, 1040, 262, 4939, 263, 327, 712, 266, 280, 267, 8792, 267, 3813, 11723, 2745, 3488, 1366, 29030, 498, 482, 423, 350, 506, 422, 371, 372, 423, 508, 357, 10563, 489, 353, 425, 500, 487, 424, 489, 506, 32174, 482, 21844, 367, 482, 424, 480, 364, 17432, 502, 422, 372, 364, 825, 28612, 268, 30386, 1012, 30220, 21844, 364, 507, 424, 366, 368, 14602, 502, 1631, 3890, 476, 17432, 357, 424, 486, 502, 32629, 498, 29030, 502, 482, 28990, 361, 10563, 489, 506, 32174, 482, 14602, 502, 476, 272, 270, 1015, 267, 1822, 267, 1822, 10563, 368, 486, 21498, 357, 424, 506, 482, 422, 373, 490, 424, 356, 478, 10563, 366, 502, 423, 355, 361, 454, 258, 476, 272, 269, 30220, 14091, 359, 357, 423, 497, 486, 29306, 494, 424, 482, 506, 30220, 21844, 364, 507, 424, 366, 368, 423, 354, 376, 10563, 508, 482, 425, 493, 361, 425, 488, 372, 17432, 502, 424, 482, 372, 424, 504, 498, 563, 5228, 30220, 1104, 30220, 454, 258, 476, 273, 269, 29030, 502, 482, 28990, 361, 10563, 489, 506, 32174, 482, 14602, 482, 10563, 372, 350, 32510, 499, 17432, 502, 29306, 361, 1376, 29306, 494, 10563, 510, 478, 28990, 354, 17432, 502, 424, 482, 372, 424, 504, 498, 563, 11034, 815, 30220, 269, 852, 4590, 258, 10563, 499, 482, 423, 508, 502, 32629, 498, 10563, 489, 353, 424, 488, 369, 29306, 494, 10563, 480, 361, 424, 504, 358, 423, 494, 502, 32629, 498, 10563, 377, 498, 423, 497, 506, 28990, 483, 21498, 486, 30319, 269, 10563, 486, 502, 32510, 499, 17432, 502, 424, 356, 478, 14091, 356, 486, 424, 482, 372, 424, 504, 498, 563, 4958, 815, 476, 271, 454, 1721, 1775, 538, 2039, 263, 1911, 1822, 2187, 825, 1427, 6834, 1775, 454, 258, 476, 274, 269, 29030, 502, 482, 28990, 361, 10563, 489, 506, 32174, 482, 14602, 482, 14091, 489, 353, 424, 489, 506, 10563, 372, 350, 32510, 499, 17432, 502, 29306, 361, 1439, 29306, 494, 10563, 510, 478, 28990, 354, 17432, 502, 424, 482, 372, 424, 504, 498, 563, 754, 815, 30220, 269, 852, 4590, 258, 476, 275, 269, 1376, 424, 503, 478, 1439, 29306, 494, 10563, 510, 478, 28990, 354, 423, 494, 506, 14091, 495, 494, 10563, 489, 506, 32174, 482, 14602, 502, 10563, 364, 357, 27338, 423, 354, 376, 21844, 367, 482, 424, 480, 364, 17432, 502, 422, 367, 510, 1714, 17863, 29306, 494, 10563, 510, 478, 28990, 354, 17432, 502, 424, 482, 372, 424, 504, 498, 563, 601, 17863, 815, 1439, 910, 1376, 454, 258, 10563, 499, 482, 423, 508, 502, 32629, 498, 10563, 370, 506, 423, 510, 354, 14602, 482, 10563, 506, 482, 17432, 506, 10563, 377, 498, 423, 497, 506, 28990, 483, 21498, 486, 30319, 269, 10563, 486, 502, 32510, 499, 17432, 502, 424, 356, 478, 14091, 356, 486, 424, 482, 372, 424, 504, 498, 563, 2745, 3488, 272, 29306, 494, 424, 482, 506, 476, 1911, 1822, 422, 373, 490, 424, 356, 478, 14091, 491, 498, 17432, 506, 21844, 366, 364, 422, 367, 376, 281, 4939, 323, 262, 4939, 4958, 994, 2745, 3488, 424, 368, 507, 21844, 367, 482, 424, 480, 364, 10563, 489, 506, 32174, 482, 281, 3299, 1714, 17863, 2020, 2745, 3488, 1366, 10563, 352, 376, 424, 500, 368, 424, 356, 482, 10563, 486, 360, 28990, 494, 423, 354, 376, 10563, 366, 506, 21498, 357, 424, 506, 482, 423, 350, 506, 21844, 369, 361, 423, 370, 482, 17432, 502, 422, 372, 364, 672, 28612, 268, 30386, 258, 6358, 3890, 910, 10563, 480, 361, 424, 504, 358, 28990, 494, 10563, 508, 483, 423, 510, 354, 423, 364, 505, 422, 372, 364, 454, 258, 604, 349, 12828, 910, 952, 423, 361, 372, 21844, 364, 506, 423, 483, 494, 14091, 364, 364, 424, 504, 364, 422, 372, 364, 454, 258, 529, 323, 13424, 3890, 910, 14091, 361, 372, 28990, 494, 29306, 368, 27338, 10563, 486, 360, 28990, 494, 14602, 372, 424, 356, 478, 21844, 366, 478, 424, 480, 361, 17432, 502, 422, 372, 364, 454, 258, 11468, 18737, 272, 316, 910, 14091, 355, 361, 424, 488, 353, 425, 488, 372, 10563, 504, 498, 424, 484, 490, 10563, 486, 506, 424, 482, 506, 423, 354, 376, 10563, 501, 511, 424, 486, 506, 424, 506, 376, 423, 350, 506, 14091, 356, 490, 423, 497, 353, 422, 372, 364, 454, 258, 1721, 910, 585, 423, 361, 372, 21844, 364, 506, 423, 483, 494, 14091, 364, 364, 424, 504, 364, 422, 372, 364, 454, 258, 523, 636, 4733, 3890, 910, 14091, 355, 361, 424, 488, 353, 425, 488, 372, 14602, 502, 14091, 359, 357, 423, 497, 510, 10563, 504, 498, 424, 484, 490, 423, 354, 376, 10563, 507, 372, 423, 491, 365, 424, 488, 353, 424, 503, 478, 10563, 490, 491, 424, 506, 376, 423, 350, 506, 10563, 370, 498, 424, 370, 506, 17432, 502, 422, 372, 364, 454, 258, 6352, 3890, 910, 10563, 489, 506, 425, 478, 478, 424, 488, 353, 10563, 508, 494, 423, 352, 490, 29030, 479, 361, 422, 372, 364, 10563, 507, 368, 17432, 368, 17432, 502, 422, 372, 364, 692, 258, 10563, 480, 361, 424, 504, 358, 28990, 494, 423, 350, 506, 423, 370, 478, 425, 482, 364, 10563, 486, 360, 28990, 494, 423, 354, 376, 10563, 508, 483, 423, 510, 354, 423, 364, 505, 424, 499, 482, 14091, 367, 478, 424, 486, 502, 1003, 29306, 494, 10563, 510, 478, 28990, 354, 17432, 358, 21498, 486, 30319, 563, 11133, 815, 3403, 3488, 424, 499, 482, 423, 361, 368, 10563, 486, 360, 28990, 494, 423, 354, 376, 10563, 508, 483, 423, 510, 354, 17432, 502, 424, 482, 372, 424, 504, 498, 281, 30386, 258, 10563, 480, 361, 424, 504, 358, 28990, 494, 32174, 478, 10563, 508, 483, 423, 510, 354, 17432, 506, 14091, 361, 372, 28990, 494, 29306, 368, 27338, 10563, 486, 360, 28990, 494, 423, 350, 506, 423, 356, 490, 21844, 369, 361, 424, 482, 365, 423, 494, 502, 424, 500, 368, 10563, 508, 486, 32629, 498, 424, 356, 478, 29030, 503, 499, 14602, 372, 17432, 358, 21498, 486, 30319, 563, 604, 1003, 18994, 323, 13424, 10031, 825, 1948, 10563, 486, 360, 28990, 494, 423, 350, 506, 423, 356, 490, 21844, 369, 361, 424, 482, 365, 423, 494, 506, 14091, 361, 372, 28990, 494, 29306, 368, 27338, 423, 358, 368, 10563, 480, 361, 424, 504, 358, 28990, 494, 32174, 478, 10563, 508, 483, 423, 510, 354, 17432, 506, 10563, 486, 360, 28990, 494, 423, 354, 376, 21844, 365, 364, 422, 378, 372, 423, 350, 506, 14091, 364, 364, 29306, 368, 17432, 502, 29306, 361, 14091, 367, 478, 424, 486, 502, 1003, 29306, 494, 10563, 508, 361, 424, 356, 478, 32510, 499, 476, 17432, 358, 21498, 486, 30319, 563, 825, 1003, 815, 1003, 11468, 18737, 272, 2639, 825, 1948, 21844, 366, 364, 422, 367, 376, 423, 354, 376, 14091, 489, 368, 14602, 482, 14091, 367, 478, 424, 486, 502, 1427, 14602, 482, 10563, 482, 510, 424, 500, 372, 17432, 358, 21498, 486, 30319, 563, 825, 1427, 815, 1412, 7055, 825, 1948, 1003, 29306, 494, 424, 482, 506, 10563, 507, 372, 423, 491, 365, 424, 488, 353, 424, 503, 478, 10563, 504, 498, 424, 484, 490, 423, 354, 376, 476, 17432, 502, 423, 480, 502, 424, 498, 358, 10563, 370, 498, 424, 370, 506, 17432, 358, 21498, 486, 30319, 563, 825, 585, 1775, 267, 524, 538, 26246, 16325, 2187, 1038, 1948, 10563, 507, 372, 423, 491, 365, 424, 488, 353, 328, 29306, 494, 476, 272, 14602, 482, 14091, 491, 498, 17432, 502, 29306, 361, 10563, 370, 498, 424, 370, 506, 17432, 506, 10563, 486, 360, 28990, 494, 14602, 502, 10563, 506, 482, 424, 373, 502, 29306, 494, 14091, 490, 478, 14602, 495, 17432, 358, 21498, 486, 30319, 563, 1038, 1775, 6834, 476, 272, 454, 1038, 1948, 10563, 504, 498, 424, 484, 490, 14602, 502, 10563, 506, 482, 424, 373, 502, 32174, 478, 1003, 14602, 502, 14091, 356, 486, 424, 356, 478, 423, 356, 487, 27338, 10563, 499, 482, 21498, 486, 422, 367, 510, 476, 274, 14602, 502, 14091, 364, 364, 424, 486, 502, 27338, 423, 358, 368, 10563, 370, 498, 424, 370, 506, 17432, 506, 10563, 504, 498, 424, 484, 490, 14091, 496, 353, 29306, 494, 10563, 487, 376, 425, 495, 506, 423, 354, 376, 14091, 491, 498, 17432, 506, 21844, 364, 496, 14602, 482, 1427, 29306, 494, 10563, 370, 498, 32174, 478, 17432, 358, 21498, 486, 30319, 563, 1038, 952, 1775, 11203, 7003, 16325, 264, 543, 1775, 260, 274, 2652, 476, 271, 912, 2018, 1427, 6834, 630, 322, 1341, 22207, 5073, 1038, 1948, 10563, 370, 498, 424, 370, 506, 17432, 506, 10563, 504, 498, 424, 484, 490, 32174, 478, 14091, 356, 486, 424, 356, 478, 423, 356, 487, 29306, 494, 10563, 506, 482, 424, 373, 502, 17432, 502, 422, 365, 364, 423, 480, 502, 476, 274, 14602, 502, 14091, 364, 364, 424, 486, 502, 32174, 478, 10563, 499, 482, 21498, 486, 423, 358, 368, 10563, 370, 498, 424, 370, 506, 17432, 506, 10563, 504, 498, 424, 484, 490, 423, 354, 376, 1427, 29306, 494, 10563, 370, 498, 32174, 478, 17432, 358, 21498, 486, 30319, 269, 3097, 1038, 3116, 912, 2018, 1427, 6834, 524, 454, 825, 1948, 1427, 14602, 482, 21844, 365, 364, 422, 378, 372, 423, 350, 506, 14091, 364, 364, 29306, 368, 17432, 358, 21498, 486, 30319, 563, 825, 1427, 815, 1427, 11468, 18737, 272, 2639, 825, 1820, 263, 4958, 994, 258, 10563, 480, 361, 424, 504, 358, 28990, 494, 32174, 478, 10563, 508, 483, 423, 510, 354, 17432, 506, 14091, 361, 372, 28990, 494, 29306, 368, 27338, 10563, 486, 360, 28990, 494, 423, 350, 506, 423, 356, 490, 10563, 507, 368, 423, 352, 357, 424, 500, 368, 32510, 372, 10563 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6639, 7835, 547, 948, 7128, 4194, 10963, 267, 899, 5027, 4152, 267, 4359, 18837, 22475, 267, 543, 30907, 838, 3539, 3457, 899, 519, 29097, 2001, 563, 8601, 519, 2282, 2347, 11761, 540, 519, 13338, 20038, 1996, 796, 32016, 3406, 543, 23069, 267, 519, 24999, 2557, 585, 12638, 4797, 922, 1863, 2887, 269, 901, 8711, 519, 1249, 602, 1100, 2339, 875, 1082, 2924, 616, 2016, 909, 610, 22624, 21022, 267, 7128, 3112, 10018, 707, 3106, 563, 4407, 7128, 616, 17528, 547, 8495, 15294, 619, 267, 519, 2557, 693, 799, 789, 616, 24937, 22149, 568, 4986, 2110, 540, 7803, 563, 6097, 547, 519, 4972, 540, 10456, 267, 972, 616, 4867, 936, 476, 6110, 267, 1822, 2150, 6479, 22149, 20164, 10655, 7452, 538, 7128, 2963, 11623, 18487, 267, 543, 1082, 824, 9193, 2303, 602, 713, 1297, 1223, 581, 607, 1164, 607, 835, 2929, 563, 2026, 513, 1267, 540, 713, 27337, 881, 32226, 267, 10199, 476, 274, 260, 540, 22149, 2665, 538, 3013, 616, 2965, 12193, 269, 901, 568, 538, 19220, 540, 519, 1249, 602, 1082, 22149, 20164, 723, 513, 1164, 4960, 540, 3056, 547, 606, 10654, 2094, 1034, 22850, 1235, 616, 4876, 20737, 945, 723, 741, 5027, 593, 3758, 563, 1103, 930, 2665, 267, 519, 9601, 1256, 917, 945, 741, 31487, 941, 267, 855, 789, 666, 711, 21991, 1393, 891, 20737, 1317, 519, 2963, 814, 2943, 547, 581, 9268, 676, 7128, 563, 6635, 6135, 532, 22850, 1235, 543, 15294, 18996, 3274, 8813, 2110, 538, 519, 1079, 2127, 7128, 616, 14126, 827, 282, 8907, 4015, 543, 5329, 741, 1102, 3836, 3075, 2112, 23348, 13576, 563, 288, 21991, 12460, 538, 595, 8500, 1695, 7541, 6019, 568, 5275, 547, 1689, 713, 5360, 659, 1890, 543, 814, 3323, 519, 20351, 2667, 5435, 14173, 17130, 10414, 269, 634, 2164, 540, 2965, 14236, 519, 20164, 723, 8810, 1876, 11268, 547, 581, 30739, 6309, 3373, 18621, 550, 538, 741, 11645, 563, 27775, 2105, 585, 1411, 454, 7712, 519, 27299, 540, 519, 4305, 3196, 267, 741, 7634, 814, 8507, 538, 476, 7742, 31710, 563, 6097, 547, 513, 1867, 538, 519, 11545, 25357, 2676, 8170, 782, 17626, 22850, 1235, 538, 519, 1353, 267, 476, 10619, 2600, 1185, 693, 2547, 835, 1991, 21688, 3415, 10654, 267, 543, 476, 4817, 2600, 1185, 693, 2547, 835, 21688, 3415, 1310, 563, 2690, 835, 6066, 25476, 267, 789, 1336, 476, 7906, 2600, 1185, 1991, 21688, 3415, 10654, 338, 267, 543, 476, 4281, 2600, 1185, 693, 2547, 835, 13604, 563, 4517, 1851, 17626, 25476, 267, 476, 2918, 2600, 1185, 1044, 18486, 585, 4638, 14213, 1354, 602, 1880, 6760, 267, 1247, 476, 2568, 2600, 941, 18486, 585, 606, 20775, 4638, 14213, 2663, 593, 563, 262, 5978, 4681, 2303, 621, 568, 1360, 2693, 602, 513, 4638, 1055, 2658, 814, 2901, 5892, 16770, 14213, 539, 610, 786, 1055, 754, 1586, 538, 519, 2104, 10086, 1767, 24981, 10753, 767, 331, 267, 513, 9972, 1382, 12314, 693, 519, 23548, 684, 4741, 543, 1071, 6122, 14575, 540, 519, 595, 8500, 1695, 7541, 6019, 20351, 2667, 5435, 14173, 15815, 582, 3194, 5741, 563, 262, 20059, 580, 908, 1142, 4638, 14213, 607, 7654, 10419, 3603, 676, 513, 17626, 1055, 2658, 814, 519, 1761, 547, 2569, 519, 1297, 540, 4638, 14213, 338, 952, 13753, 1445, 811, 593, 519, 1055, 2658, 982, 593, 2582, 13685, 25692, 31415, 515, 572, 616, 835, 17907, 6760, 6329, 10086, 1767, 595, 8500, 1695, 7541, 6019, 1160, 5913, 12460, 30227, 269, 808, 269, 17755, 842, 344, 563, 262, 4517, 1631, 602, 649, 8275, 713, 267, 649, 3112, 1450, 891, 20164, 547, 1694, 593, 21684, 2150, 6479, 538, 519, 2104, 269, 1358, 3180, 519, 10569, 547, 7114, 543, 20903, 532, 5906, 20737, 25692, 262, 25187, 11268, 7494, 19765, 13846, 519, 2318, 1267, 602, 1131, 2097, 856, 540, 14236, 891, 22149, 20164, 10086, 1160, 5913, 12460, 17755, 842, 344, 1552, 3176, 563, 262, 2171, 616, 7114, 267, 21991, 5024, 543, 5309, 5109, 930, 540, 519, 1034, 5906, 10795, 10956, 25476, 538, 938, 2950, 563, 31415, 515, 1382, 1631, 4947, 856, 540, 519, 23548, 684, 4741, 568, 17923, 519, 2956, 540, 713, 960, 267, 711, 1152, 538, 595, 8500, 1695, 7541, 6019, 267, 855, 25422, 25692, 5331, 602, 269, 4495, 1876, 11268, 6212, 741, 3007, 593, 16069, 4890, 10963, 267, 3079, 540, 3775, 6883, 519, 4961, 267, 5126, 4523, 543, 17626, 22850, 1235, 616, 3144, 1055, 519, 8265, 563, 1692, 1082, 2021, 723, 1044, 14578, 16091, 936, 519, 1296, 676, 891, 1482, 642, 850, 20737, 1317, 519, 32226, 540, 2941, 338, 1932, 5461, 538, 30191, 519, 2112, 593, 5061, 888, 31415, 515, 1995, 540, 10655, 513, 22149, 6539, 568, 12362, 267, 543, 2523, 865, 1318, 1310, 513, 6408, 814, 1044, 911, 636, 5597, 14213, 539, 10086, 1767, 10753, 767, 331, 563, 31415, 515, 572, 9601, 1705, 1018, 789, 723, 1044, 4280, 547, 798, 547, 8190, 2963, 1107, 855, 602, 2963, 1175, 2893, 267, 2150, 6479, 269, 634, 1007, 1184, 649, 875, 786, 10836, 689, 938, 4674, 786, 1732, 8956, 9601, 25692, 314, 10461, 2140, 284, 3269, 3239, 6889, 10059, 2517, 339, 1111, 335, 560, 1645, 560, 326, 9884, 335, 19956, 2593, 11320, 335, 9762, 550, 270, 340, 22744, 338, 270, 1001, 277, 270, 6734, 8276, 698, 528, 626, 3887, 13970, 7597, 275, 279, 4037, 24798, 275, 27970, 19312, 300, 3430, 3397, 528, 626, 568, 606, 8956, 2406, 26809, 25982, 540, 519, 2475, 10157, 543, 5449, 4987, 11346, 2047, 25461, 676, 519, 715, 6347, 269, 901, 1991, 1995, 3947, 1864, 2189, 5813, 883, 519, 1158, 540, 2229, 13313, 543, 519, 1977, 7128, 1533, 269, 3397, 528, 626, 814, 1044, 606, 4830, 19784, 585, 936, 513, 8717, 543, 814, 1044, 12286, 593, 13416, 5121, 1472, 519, 1158, 269, 7427, 7711, 300, 3430, 13070, 528, 626, 22535, 10461, 316, 0, 2171, 2743, 609, 938, 1071, 22086, 619, 2228, 267, 3643, 6264, 2742, 936, 8131, 11742, 267, 543, 950, 649, 2461, 19252, 267, 28923, 15565, 721, 1945, 547, 4585, 1759, 593, 938, 4505, 5784, 269, 1284, 1810, 1406, 29311, 621, 267, 855, 1510, 6620, 267, 938, 2729, 538, 27579, 1131, 723, 1044, 1360, 1114, 563, 1432, 827, 6580, 8924, 945, 2995, 721, 827, 1761, 13292, 267, 610, 3635, 8924, 602, 2995, 721, 950, 547, 1847, 538, 1931, 547, 3251, 2635, 286, 27122, 616, 10876, 269, 1809, 513, 2603, 540, 1004, 616, 530, 776, 540, 873, 267, 585, 3236, 1317, 621, 729, 519, 946, 540, 16762, 6620, 602, 3366, 547, 7130, 538, 519, 10656, 1126, 27108, 29317, 563, 3719, 12314, 7548, 540, 5841, 4987, 5096, 728, 24162, 328, 3081, 602, 6620, 5749, 1406, 782, 602, 12357, 269, 2048, 2005, 779, 4986, 811, 982, 513, 11600, 267, 513, 1305, 540, 5528, 649, 2328, 547, 4194, 513, 1966, 269, 1879, 596, 1039, 1079, 2338, 1927, 267, 596, 2461, 849, 1210, 606, 5690, 282, 596, 2461, 1175, 1210, 4050, 543, 1957, 19028, 763, 5690, 11600, 568, 5393, 11684, 267, 3056, 547, 1390, 8906, 538, 3621, 1382, 269, 769, 5698, 609, 9164, 689, 2564, 9443, 267, 7548, 540, 1217, 18267, 7812, 645, 773, 25632, 2919, 513, 1582, 19543, 5690, 602, 568, 1454, 1732, 693, 23235, 29427, 14189, 2860, 982, 2757, 18767, 616, 563, 2691, 596, 1039, 1079, 2338, 1927, 267, 596, 2461, 849, 1210, 606, 5690, 454, 8072, 2467, 616, 1079, 6620, 602, 1404, 606, 1271, 1909, 538, 713, 8730, 646, 6941, 269, 2048, 2467, 779, 513, 2866, 5690, 602, 9382, 3732, 1239, 267, 7175, 519, 23235, 5690, 547, 960, 5688, 958, 269, 898, 666, 3713, 3676, 1454, 811, 7561, 269, 589, 1268, 1131, 1491, 1454, 3476, 547, 20272, 519, 1239, 540, 5215, 540, 2550, 19028, 2704, 326, 3596, 916, 666, 849, 948, 4339, 6760, 267, 3081, 30546, 717, 560, 516, 514, 267, 606, 13930, 7548, 693, 28941, 674, 787, 16435, 5889, 333, 2027, 2358, 538, 10350, 543, 6932, 4066, 543, 513, 4759, 540, 519, 4578, 3194, 10418, 269, 6875, 16762, 2384, 532, 267, 585, 3236, 281, 2048, 2704, 326, 3596, 916, 3406, 998, 2462, 1239, 547, 3589, 1141, 10956, 6309, 514, 1275, 267, 899, 1286, 17403, 543, 2736, 15564, 267, 616, 1034, 2693, 547, 4755, 269, 898, 779, 4443, 547, 20272, 1804, 10627, 2583, 540, 1344, 267, 799, 2636, 721, 547, 1118, 1732, 3664, 19028, 12663, 6620, 849, 581, 1818, 2564, 3664, 538, 519, 2104, 286, 4024, 1004, 581, 26722, 540, 7803, 7180, 1759, 593, 513, 4542, 286, 2991, 519, 1126, 27108, 29317, 267, 621, 779, 513, 6213, 3390, 563, 8072, 2252, 594, 949, 1404, 26881, 779, 12167, 281, 950, 513, 9794, 610, 513, 4387, 2306, 513, 3375, 267, 596, 1810, 1406, 2141, 917, 875, 789, 6603, 602, 3932, 8730, 3081, 717, 560, 516, 514, 269, 2048, 5278, 1004, 2161, 602, 5690, 545, 3375, 1818, 568, 811, 6662, 269, 589, 2780, 1175, 1281, 1018, 621, 1281, 267, 543, 950, 713, 568, 1759, 593, 513, 3152, 1514, 4901, 827, 16048, 3853, 543, 6788, 621, 1223, 1291, 547, 1732, 3375, 1818, 19028, 763, 9073, 616, 1500, 538, 519, 7355, 454, 2691, 621, 1281, 979, 4636, 267, 519, 1614, 4966, 2161, 267, 621, 779, 2356, 1317, 9444, 9858, 6862, 3755, 1174, 875, 6620, 960, 269, 2048, 10144, 7340, 621, 779, 513, 8739, 14482, 1013, 673, 1062, 282, 606, 5872, 1063, 812, 543, 3684, 8730, 3081, 24162, 328, 269, 634, 811, 1950, 519, 1641, 267, 519, 811, 1950, 519, 5690, 269, 2048, 1607, 568, 2523, 3020, 585, 5396, 5473, 519, 2229, 19028, 1103, 513, 2013, 899, 519, 1126, 27108, 29317, 267, 645, 773, 25632, 3081, 519, 1004, 3743, 616, 15720, 3297, 519, 2029, 269, 2048, 2691, 594, 5873, 14761, 593, 519, 3377, 2161, 602, 649, 1058, 1225, 18571, 519, 946, 540, 6620, 267, 602, 1175, 2982, 602, 789, 1810, 1406, 1174, 621, 269, 898, 779, 711, 606, 5690, 779, 13337, 950, 1919, 979, 4636, 269, 634, 9073, 616, 1500, 538, 519, 1239, 602, 779, 1373, 6394, 543, 519, 7355, 602, 723, 1044, 3403, 538, 519, 1062, 269, 8409, 616, 1480, 6959, 19028, 8253, 513, 11067, 3684, 454, 8072, 763, 1966, 8730, 3081, 24162, 328, 267, 2048, 529, 602, 1004, 1589, 6620, 616, 891, 5863, 543, 3608, 1919, 602, 666, 948, 873, 4688, 19726, 540, 2724, 10200, 1809, 1247, 12957, 786, 4688, 2724, 538, 519, 1279, 2165, 267, 621, 2965, 3790, 2724, 538, 519, 2110, 2165, 267, 3177, 621, 779, 1373, 8045, 7157, 269, 4658, 4043, 547, 30391, 713, 267, 717, 560, 516, 514, 814, 8068, 269, 2048, 296, 5781, 2671, 1250, 1382, 4681, 609, 6608, 269, 10705, 267, 1004, 616, 1932, 11235, 547, 1205, 3323, 269, 1358, 1810, 1406, 5265, 4137, 856, 741, 6859, 267, 610, 945, 519, 12957, 786, 1764, 19028, 8072, 8505, 558, 566, 8730, 3081, 717, 560, 516, 514, 267, 2048, 529, 333, 1406, 607, 2241, 607, 7432, 593, 513, 11067, 3684, 543, 2921, 856, 519, 2973, 27445, 950, 621, 779, 2944, 269, 1809, 602, 779, 711, 1945, 1004, 899, 547, 5873, 693, 519, 1376, 540, 513, 1184, 19028, 10144, 616, 1932, 11235, 547, 1205, 3323, 454, 289, 773, 25632, 3081, 11413, 568, 2629, 952, 649, 1616, 1004, 547, 3972, 6620, 269, 2048, 2171, 991, 547, 917, 4010, 1018, 6620, 616, 5921, 547, 5173, 282, 1018, 616, 519, 7355, 1373, 1031, 547, 1118, 513, 3375, 286, 685, 901, 568, 2523, 1271, 538, 519, 2564, 2361, 267, 646, 3081, 269, 2048, 2704, 326, 3596, 916, 616, 1373, 1031, 547, 4217, 7189, 269, 1403, 513, 3461, 610, 513, 4387, 3085, 1406, 1174, 519, 5690, 545, 5796, 267, 1100, 835, 786, 3972, 621, 19028, 2704, 326, 3596, 916, 6157, 5749, 1406, 3501, 267, 855, 789, 666, 798, 9735, 8631, 267, 3746, 2478, 24162, 328, 269, 2048, 2026, 1279, 607, 972, 616, 1004, 3238, 945, 616, 5432, 609, 519, 3510, 10200, 1261, 1797, 1004, 945, 723, 519, 10100, 547, 2911, 827, 519, 5383, 543, 519, 7687, 540, 519, 1949, 267, 1004, 945, 917, 519, 4690, 602, 616, 693, 7196, 269, 4658, 945, 4161, 10054, 543, 14882, 267, 945, 616, 12001, 827, 875, 3664, 616, 1500, 269, 2048, 2005, 779, 711, 2141, 2653, 267, 855, 950, 596, 723, 1004, 899, 602, 267, 6620, 723, 865, 1454, 547, 2709, 2486, 19028, 763, 1614, 3744, 796, 29434, 3585, 3858, 602, 6620, 786, 1404, 606, 1271, 1909, 538, 2462, 2152, 971, 607, 2916, 1689, 267, 1480, 2924, 267, 543, 27955, 3676, 269, 2048, 763, 2104, 568, 2407, 540, 6620, 8730, 3081, 24162, 328, 269, 2048, 3719, 621, 568, 513, 1434, 3364, 602, 2486, 568, 5329, 513, 2565, 3750, 593, 1919, 19028, 6546, 849, 1797, 621, 779, 1271, 602, 1004, 779, 3059 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3451, 454, 272, 269, 10289, 519, 6250, 1470, 1604, 454, 273, 269, 14301, 13088, 454, 274, 269, 12861, 2596, 12222, 454, 275, 269, 14474, 1154, 8571, 902, 454, 276, 269, 11554, 609, 9664, 454, 277, 269, 12861, 543, 4259, 909, 513, 1007, 2721, 454, 278, 269, 12861, 3060, 543, 23730, 12222, 454, 279, 269, 12861, 2930, 29282, 454, 280, 269, 11628, 2688, 3337, 1374, 454, 1015, 269, 6355, 12222, 454, 1556, 269, 8416, 12222, 543, 5680, 3135, 11837, 454, 1321, 269, 12229, 543, 6538, 12222, 454, 1691, 269, 23889, 6250, 1470, 609, 824, 3156, 454, 22923, 4804, 27159, 454, 10743, 786, 6542, 15334, 609, 1082, 4359, 2934, 540, 9786, 6250, 1470, 3301, 269, 1358, 786, 581, 2111, 547, 2721, 543, 3898, 4359, 12222, 543, 2095, 577, 11301, 29282, 269, 634, 1053, 786, 581, 2111, 547, 1711, 6989, 7851, 543, 5604, 29282, 269, 634, 1053, 786, 581, 2111, 547, 11753, 9185, 543, 7457, 3301, 547, 3132, 6250, 1470, 6054, 563, 10743, 786, 6542, 15334, 538, 5373, 543, 18534, 12686, 3615, 547, 2333, 1620, 540, 7294, 1344, 1369, 519, 6516, 563, 22923, 786, 723, 519, 1702, 540, 519, 2596, 2497, 607, 1134, 607, 1374, 543, 2721, 513, 2095, 24577, 1210, 5546, 267, 28339, 543, 1449, 2934, 563, 22923, 786, 2744, 519, 1702, 540, 519, 3069, 3297, 543, 5265, 8415, 1585, 1257, 11249, 3681, 563, 22923, 786, 1020, 519, 2702, 547, 1711, 3060, 12222, 1210, 6106, 267, 1950, 5546, 267, 4282, 3817, 267, 6402, 543, 12596, 563, 22923, 786, 1397, 875, 547, 1589, 9691, 3823, 950, 547, 946, 2095, 5750, 532, 3301, 547, 2333, 1620, 540, 1950, 1344, 563, 22923, 786, 6542, 2565, 3206, 1983, 950, 10128, 6250, 1470, 609, 824, 3156, 563, 11754, 547, 5800, 12859, 630, 641, 839, 513, 1007, 6885, 264, 0, 13640, 8365, 540, 519, 454, 11847, 3016, 540, 3162, 4000, 454, 13233, 7027, 540, 28393, 806, 454, 3445, 2817, 7027, 454, 6110, 2817, 13909, 454, 13233, 7027, 540, 28393, 806, 2797, 2516, 454, 13233, 13909, 2797, 2516, 454, 347, 6554, 630, 15996, 994, 302, 24810, 11534, 3789, 630, 10019, 994, 8448, 6105, 630, 10436, 994, 347, 295, 11817, 540, 12057, 267, 15729, 16011, 2008, 310, 3480, 15729, 267, 3162, 4000, 454, 763, 12057, 540, 3162, 4000, 568, 3162, 4000, 781, 23328, 282, 896, 519, 1459, 9139, 540, 3162, 4000, 267, 519, 22833, 600, 1968, 12057, 13408, 513, 2817, 13909, 543, 513, 2817, 7027, 540, 28393, 806, 269, 634, 1699, 8938, 5498, 22770, 12057, 729, 1101, 7036, 539, 593, 476, 2420, 2904, 476, 1001, 280, 563, 763, 31317, 540, 519, 12057, 540, 3162, 4000, 267, 1354, 519, 476, 4489, 271, 5742, 540, 3162, 4000, 267, 729, 519, 22833, 600, 1968, 12057, 540, 519, 15729, 540, 6153, 16593, 269, 901, 729, 7768, 540, 519, 5600, 540, 13909, 630, 1492, 2539, 2777, 264, 543, 519, 22694, 894, 7027, 630, 1492, 5580, 2777, 1040, 898, 18584, 1394, 547, 519, 20297, 540, 15729, 7115, 538, 476, 6977, 274, 543, 729, 11221, 2687, 547, 519, 3818, 268, 24055, 15729, 19120, 1881, 17012, 577, 1047, 1062, 267, 17929, 27049, 20340, 941, 4294, 8449, 547, 782, 9038, 267, 7488, 540, 5198, 563, 2691, 519, 5742, 540, 3162, 4000, 729, 3964, 538, 476, 4489, 271, 267, 519, 12057, 729, 22833, 600, 1968, 543, 15538, 540, 519, 3751, 610, 519, 10348, 267, 519, 14130, 267, 543, 519, 5600, 540, 13909, 630, 4385, 538, 2279, 27996, 753, 607, 519, 5292, 802, 571, 611, 1916, 763, 5888, 540, 12057, 729, 4957, 676, 13338, 22853, 689, 942, 547, 942, 912, 1103, 513, 22275, 31558, 4371, 538, 476, 3422, 271, 267, 513, 1507, 5354, 540, 519, 3043, 17037, 9516, 519, 7503, 540, 519, 2197, 689, 513, 7464, 332, 610, 18067, 542, 540, 519, 3703, 20448, 547, 513, 14081, 563, 763, 6243, 540, 3162, 4000, 729, 3964, 538, 476, 3422, 272, 269, 634, 1152, 1689, 1500, 547, 519, 5888, 540, 519, 12057, 729, 519, 18839, 540, 519, 3557, 5518, 585, 519, 10348, 269, 589, 1906, 1713, 2242, 941, 1500, 2663, 912, 288, 1007, 9139, 267, 5189, 538, 476, 2735, 275, 267, 556, 10276, 325, 13361, 2213, 519, 2051, 10696, 2551, 630, 342, 1580, 607, 1134, 607, 2367, 264, 543, 679, 325, 13361, 2213, 519, 4095, 2551, 269, 898, 17477, 519, 4540, 5600, 540, 13909, 585, 16543, 543, 3964, 513, 5600, 540, 24929, 547, 2099, 519, 2051, 10696, 338, 267, 543, 513, 5600, 540, 1546, 5586, 919, 585, 519, 12075, 267, 1818, 12057, 513, 28886, 600, 1968, 23328, 269, 2349, 2931, 4797, 547, 581, 16934, 563, 763, 3109, 5354, 941, 1869, 771, 325, 13361, 2213, 267, 543, 519, 1007, 1062, 26218, 26117, 1256, 1851, 519, 2051, 10696, 338, 543, 1306, 2103, 267, 1082, 540, 7247, 7911, 20799, 1540, 12836, 269, 769, 513, 22275, 31558, 4371, 538, 476, 1960, 273, 267, 476, 6924, 269, 10463, 260, 540, 630, 21671, 3043, 264, 17037, 9516, 519, 6963, 1184, 602, 3927, 8694, 18766, 22727, 269, 769, 3735, 476, 1960, 274, 267, 835, 540, 519, 2063, 4773, 540, 9086, 5293, 676, 519, 28886, 600, 1968, 12057, 729, 519, 3955, 574, 9139, 267, 799, 3576, 1198, 593, 476, 2767, 4989, 476, 1960, 275, 267, 519, 1482, 1554, 607, 519, 1101, 1875, 268, 24055, 12836, 563, 288, 1007, 954, 574, 11156, 267, 5189, 538, 476, 1960, 275, 1310, 2185, 1296, 540, 19908, 267, 6368, 5189, 782, 268, 15869, 9111, 543, 679, 325, 13361, 2213, 2367, 543, 2021, 540, 782, 14797, 593, 3160, 2474, 267, 519, 5934, 2085, 6967, 476, 1240, 1296, 269, 12057, 729, 10411, 21114, 547, 2874, 540, 513, 14130, 543, 513, 2817, 13909, 563, 763, 25931, 1062, 3096, 14354, 6041, 267, 609, 17037, 13359, 585, 2797, 6105, 2864, 982, 585, 10457, 269, 1160, 1636, 1308, 6041, 2636, 585, 4130, 6105, 547, 723, 513, 4960, 540, 16565, 16295, 538, 14618, 267, 4352, 891, 6105, 1419, 9192, 538, 1931, 547, 723, 513, 6793, 5639, 1369, 519, 2797, 1062, 267, 2523, 1996, 519, 4888, 290, 269, 634, 18763, 5082, 7394, 8189, 568, 9901, 609, 5329, 12836, 4023, 267, 2834, 267, 543, 3160, 269, 3487, 625, 10505, 6806, 8638, 540, 10457, 547, 519, 594, 4488, 267, 543, 519, 594, 4488, 25361, 519, 16295, 28286, 1540, 547, 1367, 6105, 1210, 519, 11134, 8638, 1310, 9550, 2164, 2097, 538, 269, 634, 21146, 1062, 814, 2938, 2370, 13313, 2094, 476, 1960, 275, 563, 295, 27941, 4065, 10579, 715, 531, 2664, 17455, 528, 814, 7074, 602, 1282, 1200, 2165, 630, 11034, 532, 476, 1960, 275, 264, 513, 7771, 538, 2797, 2463, 1464, 1185, 7018, 538, 14618, 267, 1813, 547, 922, 2818, 711, 2502, 609, 835, 1776, 538, 513, 1330, 974, 748, 6073, 269, 2701, 6376, 539, 602, 1352, 5433, 3768, 793, 1881, 547, 581, 606, 20626, 540, 519, 19020, 7180, 267, 799, 849, 7409, 1243, 519, 2932, 540, 3811, 6214, 563, 28893, 2817, 6837, 281, 634, 4888, 290, 729, 8547, 538, 476, 4489, 273, 267, 855, 941, 17049, 676, 3557, 5518, 8176, 7605, 828, 1206, 4210, 691, 538, 476, 3422, 271, 267, 6967, 865, 2394, 519, 7333, 729, 24850, 13977, 1296, 2663, 676, 5518, 674, 269, 654, 269, 1546, 918, 2401, 330, 269, 634, 4888, 290, 2968, 519, 3056, 2797, 5428, 538, 3162, 4000, 1310, 519, 1101, 3818, 268, 24055, 9550, 538, 476, 1960, 275, 269, 634, 5428, 781, 1292, 3760, 26520, 593, 2324, 2509, 7292, 7862, 543, 16701, 21899, 519, 8739, 20300, 5049, 799, 616, 1419, 1759, 593, 5198, 269, 634, 4888, 290, 814, 1044, 2808, 513, 5428, 585, 5065, 3162, 20338, 267, 2523, 1354, 476, 1220, 280, 950, 5428, 6205, 15243, 2098, 6373, 5185, 2789, 25197, 725, 3823, 13313, 267, 3226, 1210, 1857, 7482, 585, 1010, 1378, 5301, 269, 634, 2804, 7965, 538, 3162, 4000, 267, 607, 1134, 607, 7128, 30468, 723, 1312, 1044, 30199, 593, 519, 4888, 290, 269, 17497, 267, 519, 4888, 290, 6585, 476, 15996, 16295, 538, 14618, 269, 8081, 585, 519, 4888, 290, 4682, 1524, 1063, 519, 476, 1001, 275, 543, 519, 476, 1001, 280, 2489, 12836, 267, 609, 10795, 17600, 21074, 532, 782, 936, 519, 2197, 538, 3210, 547, 519, 31482, 540, 13313, 1369, 519, 4888, 290, 543, 519, 1875, 1673, 601, 6116, 540, 18513, 2533, 563, 20779, 7095, 19137, 281, 634, 21096, 729, 4646, 950, 519, 1715, 2817, 9549, 267, 519, 24288, 547, 519, 32044, 268, 5028, 2817, 9549, 267, 24673, 609, 519, 14891, 9549, 543, 519, 8549, 19137, 538, 476, 1220, 271, 547, 1106, 606, 19710, 269, 634, 21096, 568, 606, 11685, 5428, 543, 814, 1044, 12926, 6462, 676, 3162, 4000, 781, 12102, 2950, 630, 19669, 267, 2051, 10696, 543, 4095, 1040, 769, 811, 2487, 1296, 267, 519, 5428, 814, 13986, 547, 3094, 16018, 689, 4563, 3162, 20338, 543, 607, 513, 1267, 267, 4563, 1489, 585, 519, 21096, 814, 24111, 936, 519, 2250, 1896, 1296, 267, 2469, 689, 476, 272, 260, 547, 476, 277, 10065, 634, 21096, 568, 513, 12666, 5428, 602, 7957, 2293, 1863, 27360, 564, 4507, 269, 634, 21096, 729, 28286, 1540, 476, 8660, 16295, 538, 14618, 1310, 519, 476, 1001, 275, 2489, 9550, 267, 855, 519, 5428, 781, 10160, 2698, 8519, 547, 476, 10019, 16295, 1739, 519, 476, 1001, 280, 2489, 9550, 563, 30356, 15213, 674, 16146, 281, 634, 661, 13697, 7153, 5216, 3275, 1354, 519, 476, 1001, 275, 2489, 9550, 543, 4465, 476, 1839, 16295, 538, 14618, 269, 2991, 519, 476, 1001, 280, 2489, 12836, 267, 519, 661, 13697, 2799, 741, 16295, 538, 14618, 547, 476, 4510, 267, 519, 1152, 5428, 540, 519, 1283, 1614, 6105, 602, 6913, 606, 2333, 540, 2818, 538, 14618, 269, 634, 661, 13697, 568, 513, 2484, 268, 3847, 12316, 24180, 2797, 5428, 267, 14957, 585, 2244, 1163, 10187, 566, 543, 585, 606, 1439, 547, 13313, 1369, 14618, 269, 634, 661, 13697, 814, 1044, 4922, 15034, 540, 12982, 13842, 4633, 1996, 6519, 543, 4095, 3162, 20338, 563, 1103, 330, 24048, 15213, 9549, 281, 634, 594, 17025, 267, 799, 729, 4646, 538, 476, 1960, 271, 729, 519, 24288, 547, 519, 5449, 2229, 538, 519, 1631, 12413, 9417, 32765, 1794, 21343, 645, 656, 755, 534, 267, 12926, 14405, 922, 1489, 689, 519, 2098, 21343, 1004, 269, 898, 814, 2705, 1500, 538, 30030, 883, 519, 12102, 1528, 28672, 540, 1733, 2572, 543, 12075, 269, 634, 594, 17025, 729, 519, 3791, 28376, 5428, 2394, 621, 729, 796, 572, 730, 676, 519, 661, 13697, 543, 568, 835, 540, 519, 1906, 6105, 547, 723, 15654, 6041, 538, 14618, 2094, 9111, 538, 476, 1960, 275, 269, 634, 594, 17025, 6306, 689, 519, 4888, 290, 729, 851, 540, 519, 2817, 6554, 585, 476, 1015, 1296, 269, 634, 594, 17025, 23594, 519, 2924, 540, 2757, 3401, 543, 15156, 585, 4507, 799, 12797, 1863, 6990, 269, 634, 5428, 568, 10353, 547, 25847, 543, 21340, 4507, 563, 10303, 519, 4888, 290, 814, 971, 513, 1804, 5354, 538, 14618, 267, 4130, 6105, 616, 7683, 8108, 24816, 543, 5755, 1431, 538, 1931, 547, 957, 607, 513, 6793, 11685, 547, 519, 4888, 290, 24507, 15424, 543, 10324, 8371, 563, 13640, 8365, 18795, 538, 15729, 16011, 267, 1256, 1498, 519, 10160, 540, 2229, 568, 538, 23239, 18319, 269, 901, 7389, 1394, 547, 519, 5748, 540, 519, 5742, 267, 950, 972, 729, 24895, 1851, 519, 2185, 16899, 607, 547, 799, 2749, 1131, 581, 519, 3084, 3854, 269, 1306, 513, 14207, 267, 15729, 16011, 729, 11280, 519, 15424, 3854, 267, 2349, 334, 655, 325, 517, 12888, 519, 16324, 3854, 267, 543, 23239, 18319, 519, 11889, 3854, 269, 634, 3979, 2817, 6837, 630, 3198, 290, 264, 2229, 814, 6069, 3001, 12057, 547, 23239, 18319, 267, 19163, 602, 519, 1459, 11460, 568, 524, 13246, 727, 607, 26110, 267, 3540, 22063, 543, 17009, 1846, 1590, 1847, 1394, 543, 8521, 950, 12057, 568, 538, 8400, 563, 4913, 267, 1082, 7167, 17662, 2103, 723, 9275, 856, 1996, 971, 513, 1847, 267, 934, 6748, 519, 4888, 290, 540, 3843, 547, 3844, 1047, 1379, 269, 7201, 519, 9139, 267, 972, 568, 11865, 585, 12057, 547, 1694, 11992, 982, 15729, 16011, 593, 12406, 540, 1857, 1719, 267, 3354, 610, 13418, 543, 12057, 568, 15868, 547, 1683, 538, 922, 3652, 543, 9753, 585, 1694, 14005, 3544, 15729, 16011, 269, 14329, 476, 2190, 540, 519, 2817, 13909, 16390, 9935, 2636, 519, 29150, 547, 1463, 602, 519, 5600, 786, 1694, 693, 1412, 320, 1747, 824, 982, 519, 670, 11817, 540, 12057, 538, 15729, 16011, 262, 1310, 17874, 519, 26064, 540, 519, 5600, 543, 519, 12751, 654, 1222, 540, 1142, 5428, 6719, 538, 519, 5600, 269, 14329, 476, 2537, 540, 519, 3652, 540, 519, 2817, 7027 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7271, 540, 5836, 3679, 2305, 454, 2026, 594, 5941, 4505, 602, 519, 1377, 540, 3327, 8166, 814, 1044, 11179, 8375, 538, 519, 5790, 2094, 519, 4098, 540, 13674, 540, 8093, 10173, 269, 634, 7050, 3327, 8166, 568, 3478, 15702, 883, 519, 4262, 1216, 267, 543, 538, 1267, 267, 1818, 30173, 7297, 811, 15755, 563, 20007, 1227, 6340, 267, 950, 519, 3327, 8166, 15702, 538, 519, 1216, 267, 519, 1267, 786, 581, 519, 3327, 545, 3679, 269, 6314, 1227, 267, 3327, 545, 3679, 17838, 7513, 19941, 883, 7513, 22833, 12365, 622, 799, 568, 3362, 4744, 565, 15344, 538, 519, 1216, 563, 4517, 267, 649, 917, 602, 14147, 4874, 1186, 25309, 7513, 547, 1106, 1608, 3249, 748, 22403, 585, 4027, 269, 769, 713, 3510, 950, 519, 4110, 540, 3327, 545, 3679, 568, 7683, 3395, 267, 519, 17866, 14147, 4874, 1186, 616, 2469, 547, 1831, 811, 543, 811, 6534, 547, 519, 8801, 4229, 540, 2916, 269, 769, 713, 1259, 267, 6263, 267, 17866, 14147, 4874, 1186, 616, 9561, 741, 338, 2067, 8825, 3382, 547, 1831, 9601, 563, 1432, 1131, 4755, 1287, 15017, 5475, 782, 713, 2079, 267, 835, 1223, 3362, 9959, 602, 1312, 30173, 3679, 2305, 543, 14147, 6926, 2286, 616, 2469, 547, 6961, 17672, 585, 519, 1360, 6228, 540, 14147, 4874, 1186, 543, 11818, 3889, 269, 6314, 1227, 267, 7909, 545, 3679, 2305, 666, 2014, 14147, 4874, 1186, 547, 6336, 8825, 3382, 267, 6466, 267, 14147, 4874, 1186, 666, 1406, 7639, 1510, 1623, 25027, 2078, 602, 568, 1373, 7361, 4299, 676, 14147, 6926, 2286, 907, 0, 3849, 14620, 16083, 540, 942, 5189, 676, 950, 6257, 513, 1448, 540, 942, 538, 799, 2962, 568, 5340, 269, 24641, 267, 16083, 4098, 609, 1247, 6212, 593, 519, 1482, 1974, 540, 942, 585, 1079, 3527, 269, 769, 2110, 267, 519, 22466, 2495, 540, 950, 568, 1700, 520, 602, 942, 282, 593, 519, 824, 1688, 267, 519, 2495, 540, 1247, 568, 1700, 323, 1005, 602, 942, 269, 2913, 779, 1451, 538, 1469, 827, 1016, 867, 3215, 16083, 676, 950, 543, 1247, 10756, 305, 2737, 540, 5250, 454, 1892, 2691, 3436, 1448, 540, 942, 267, 693, 602, 942, 267, 2673, 5311, 1063, 1079, 3527, 563, 1892, 4407, 3436, 1974, 540, 942, 267, 1282, 602, 942, 267, 1079, 3527, 693, 519, 1482, 942, 563, 1892, 2691, 1341, 8200, 16083, 1341, 26893, 1341, 1292, 16083, 563, 1892, 4407, 1341, 8200, 16083, 1341, 26893, 1341, 1292, 16083, 563, 1892, 14611, 16083, 1341, 950, 1341, 8200, 16083, 563, 1892, 14611, 16083, 1341, 1247, 1341, 8200, 16083, 563, 1892, 2691, 585, 2489, 942, 454, 1892, 4407, 585, 1808, 942, 563, 1892, 306, 877, 13029, 568, 1031, 538, 1312, 8200, 543, 1292, 16083, 563, 31306, 25581, 13450, 5749, 1406, 1031, 538, 519, 950, 16083, 269, 5502, 267, 1459, 25581, 13450, 616, 9053, 585, 2104, 2631, 563, 23744, 267, 1247, 2053, 16083, 568, 1031, 585, 6024, 13029, 267, 543, 15991, 1031, 585, 2241, 13029, 563, 8196, 995, 1806, 540, 30163, 16083, 540, 942, 910, 15290, 543, 1247, 454, 1892, 2005, 729, 519, 942, 540, 8082, 543, 22584, 950, 519, 1158, 5258, 883, 1079, 18635, 15301, 15290, 7790, 2311, 602, 942, 1700, 12019, 2782, 994, 1892, 3891, 1031, 547, 3643, 3084, 11614, 950, 646, 729, 538, 519, 15057, 15301, 11484, 5235, 540, 15057, 3643, 994, 1892, 2691, 649, 10272, 17174, 4525, 267, 649, 5249, 585, 17174, 2014, 563, 1892, 2691, 568, 1031, 547, 2769, 3527, 538, 513, 5311, 609, 5934, 7934, 563, 1892, 2691, 519, 1668, 8452, 267, 519, 15915, 1185, 2907, 2451, 519, 1668, 3247, 563, 1892, 2171, 1185, 2907, 4988, 519, 2666, 950, 621, 3323, 986, 1456, 563, 1892, 2691, 789, 10294, 24044, 13933, 267, 5215, 540, 1004, 1185, 1044, 7166, 563, 1892, 2690, 519, 2104, 13029, 267, 2241, 1459, 568, 1031, 267, 543, 968, 12663, 892, 568, 711, 1031, 538, 519, 950, 16083, 563, 1892, 296, 786, 4217, 596, 950, 594, 9096, 2816, 563, 1892, 307, 17687, 786, 2097, 1524, 950, 519, 3327, 5434, 6175, 563, 1892, 763, 3510, 786, 1831, 3978, 950, 519, 4764, 17799, 563, 2691, 568, 1031, 899, 19585, 14966, 563, 1892, 23744, 267, 950, 568, 9053, 538, 519, 2241, 13029, 3079, 11636, 563, 1892, 2005, 568, 849, 1031, 547, 2769, 2829, 538, 1114, 1974, 540, 942, 563, 1892, 14300, 540, 1247, 454, 4407, 568, 1031, 585, 1808, 1974, 540, 942, 269, 769, 971, 5220, 267, 1312, 3527, 2049, 693, 519, 1482, 942, 563, 1892, 13828, 6082, 941, 27410, 1247, 1004, 989, 23550, 585, 519, 11175, 15301, 18485, 3527, 616, 9648, 693, 519, 1482, 942, 994, 1892, 14399, 941, 11981, 3544, 1247, 621, 729, 986, 1456, 21066, 563, 1892, 10144, 616, 22551, 532, 1996, 519, 20590, 1247, 9972, 8387, 616, 13267, 547, 9350, 1524, 4586, 1892, 14367, 3993, 568, 8600, 1426, 1247, 646, 3478, 4712, 585, 1153, 563, 5472, 1806, 1397, 4368, 546, 584, 2747, 540, 942, 547, 2769, 1079, 3527, 563, 4407, 568, 9053, 547, 946, 547, 2769, 6024, 13029, 269, 898, 568, 15991, 1031, 585, 2241, 13029, 269, 1809, 267, 950, 1568, 1732, 585, 2241, 13029, 269, 16593, 267, 713, 5816, 786, 948, 596, 547, 4487, 1016, 867, 3215, 16083, 676, 950, 543, 1247, 907, 0, 6783, 11394, 2647, 268, 19327, 7020, 454, 12867, 693, 519, 17459, 6369, 3427, 540, 7177, 630, 299, 657, 13353, 267, 11404, 264, 616, 3384, 513, 6263, 11275, 10309, 602, 666, 3713, 519, 3350, 540, 4496, 3615, 269, 634, 631, 32209, 2861, 3926, 267, 827, 519, 2450, 540, 513, 2777, 12187, 267, 666, 3713, 4108, 3937, 1700, 5228, 14742, 267, 13688, 267, 543, 18114, 547, 513, 17199, 8066, 513, 29461, 1700, 1575, 547, 476, 1911, 10264, 2630, 2666, 269, 13804, 564, 18852, 3713, 519, 4527, 540, 513, 4496, 1843, 998, 18063, 538, 519, 3047, 781, 6419, 2361, 269, 14066, 11275, 18852, 267, 930, 540, 799, 616, 1031, 547, 3713, 20140, 1149, 267, 8532, 1454, 811, 1379, 267, 1818, 873, 1447, 982, 4998, 896, 25071, 2175, 269, 634, 631, 32209, 11275, 10309, 267, 10169, 2147, 547, 513, 22315, 13549, 593, 513, 18784, 4336, 267, 27499, 1100, 1379, 547, 7500, 269, 1717, 267, 519, 3926, 1281, 2154, 930, 1379, 585, 519, 5547, 602, 14509, 519, 1239, 689, 519, 9300, 543, 13739, 338, 519, 2164, 1210, 12616, 2029, 563, 4537, 1144, 593, 519, 1394, 540, 513, 772, 2529, 269, 623, 10154, 585, 2450, 6476, 269, 901, 9300, 2882, 513, 11275, 10309, 267, 16267, 267, 543, 12616, 5991, 564, 1740, 31092, 563, 7212, 513, 2582, 3926, 1281, 711, 723, 519, 8417, 540, 2757, 3435, 267, 513, 1804, 3060, 539, 5044, 3262, 936, 606, 1858, 666, 2285, 1344, 602, 568, 811, 3730, 269, 4495, 519, 3457, 616, 18611, 998, 2409, 971, 607, 21177, 689, 606, 20987, 267, 9447, 676, 606, 25044, 7387, 267, 610, 14350, 17479, 267, 789, 1106, 513, 12616, 3060, 547, 30136, 7403, 936, 519, 1858, 1373, 16913, 269, 634, 3060, 23352, 4282, 6846, 689, 519, 9357, 14459, 610, 2067, 17285, 12074, 676, 6947, 585, 6419, 1922, 1752, 18063, 689, 1152, 513, 1906, 8596, 269, 634, 1062, 666, 20559, 2436, 519, 19717, 568, 23197, 610, 693, 610, 2630, 2666, 1377, 269, 31603, 609, 7482, 689, 513, 1614, 4458, 16470, 11628, 3194, 18768, 10837, 9886, 267, 519, 3926, 814, 1044, 7318, 538, 1312, 772, 2529, 269, 13108, 543, 13149, 17620, 2361, 5751, 269, 1280, 811, 1344, 267, 1289, 6424, 9466, 540, 17459, 6369, 693, 476, 20542, 268, 18684, 268, 4962, 275, 271, 610, 552, 17733, 1547, 0, 10666, 519, 5741, 454, 15253, 1563, 609, 519, 2665, 540, 782, 12320, 658, 543, 5127, 13702, 9055, 267, 519, 1353, 540, 15835, 4248, 9055, 593, 4672, 814, 4607, 2370, 3007, 267, 543, 8097, 960, 4080, 814, 5059, 593, 1507, 8397, 803, 663, 1359, 9055, 1547, 13870, 267, 4859, 267, 543, 3560, 540, 15835, 4248, 936, 4672, 568, 835, 540, 519, 2547, 24713, 1221, 3157, 593, 3047, 476, 543, 15835, 4248, 899, 9055, 723, 849, 1044, 6444, 593, 519, 3162, 24504, 540, 21419, 630, 821, 540, 21275, 779, 24262, 1070, 1141, 8933, 540, 5277, 15655, 1286, 557, 741, 1259, 998, 13792, 8916, 1547, 4197, 267, 519, 6384, 540, 15835, 4248, 9055, 568, 2629, 547, 3589, 519, 2557, 540, 4262, 1377, 4473, 538, 3210, 547, 2916, 1689, 543, 547, 1174, 2825, 2175, 593, 3063, 268, 614, 14111, 4703, 269, 631, 3881, 4248, 9055, 936, 4672, 1397, 1082, 2934, 849, 4767, 538, 782, 12320, 658, 543, 5127, 13702, 8933, 267, 971, 607, 31619, 806, 11486, 1513, 267, 936, 28702, 338, 267, 5679, 1157, 9557, 630, 4248, 17517, 1070, 2934, 26922, 547, 20801, 13063, 1813, 547, 8756, 18846, 9194, 267, 543, 18846, 2759, 32187, 269, 631, 3881, 4248, 9055, 849, 723, 1978, 2934, 602, 616, 2189, 269, 1280, 1383, 267, 8928, 949, 2333, 19654, 1256, 538, 519, 9000, 540, 29815, 2456, 610, 936, 1633, 2095, 1813, 547, 8143, 13621, 540, 519, 8756, 5127, 543, 6821, 543, 519, 1909, 540, 1463, 3859, 5982, 998, 519, 13576, 1216, 269, 901, 543, 824, 9259, 8200, 593, 2837, 27080, 543, 2095, 4162, 630, 324, 3052, 269, 3178, 267, 6991, 1070, 1851, 824, 4632, 267, 1711, 9055, 609, 1114, 1544, 845, 10641, 3098, 269, 901, 1788, 786, 1445, 593, 7114, 519, 512, 6235, 2798, 3743, 585, 873, 269, 769, 19220, 540, 8441, 538, 10230, 3631, 543, 6552, 15392, 7207, 1496, 272, 267, 476, 276, 268, 277, 3910, 1007, 8047, 6901, 616, 1883, 547, 18663, 543, 19472, 3157, 1620, 540, 24101, 4048, 331, 18432, 15835, 4248, 8756, 8652, 323, 3428, 923, 543, 10641, 19392, 563, 288, 15501, 543, 20505, 281, 2414, 21656, 519, 5250, 543, 4720, 540, 15835, 4248, 9055, 936, 4672, 543, 2697, 512, 6235, 2798, 3743, 585, 1114, 1544, 845, 10641, 3098, 269, 3194, 786, 1445, 593, 912, 272, 264, 15043, 3209, 6901, 540, 2627, 15835, 4248, 8756, 5250, 607, 513, 1599, 540, 1114, 19527, 267, 1216, 268, 823, 2837, 27080, 543, 2095, 29702, 563, 273, 264, 18430, 532, 6552, 5464, 540, 8701, 543, 3063, 268, 614, 14111, 2627, 15835, 4248, 9055, 547, 22945, 1483, 8996, 1544, 845, 22762, 1845, 267, 1210, 1239, 689, 30673, 13329, 514, 601, 267, 715, 14505, 14924, 520, 543, 2362, 6571, 9682, 1239, 563, 274, 264, 15043, 12170, 543, 7811, 3631, 540, 15835, 4248, 13441, 689, 8756, 1544, 845, 9511, 543, 9386, 267, 3067, 4328, 1312, 1216, 268, 823, 2837, 27080, 543, 15835, 4248, 9295, 547, 4262, 7400, 4473, 563, 25842, 281, 763, 12854, 786, 1020, 1007, 29610, 15041, 2869, 673, 3631, 547, 8308, 1526, 1778, 2627, 15835, 4248, 9295, 547, 4262, 1377, 4473, 269, 16949, 540, 519, 8097, 960, 609, 9682, 5464, 786, 5512, 519, 12854, 547, 1020, 513, 1007, 4480, 547, 1469, 7851, 540, 1216, 268, 823, 2837, 27080, 543, 4672, 6656, 13621, 267, 20716, 563, 8450, 519, 7754, 528, 4821, 3896, 630, 10059, 2517, 3966, 528, 4821, 1673, 339, 335, 28482, 16896, 22812, 14142, 8276, 3881, 4248, 7302, 2335, 1564, 27492, 268, 823, 2389, 6235, 15304, 338, 16519, 13807, 534, 845, 2173, 6973, 1108, 7146, 17272, 1828, 270, 264, 585, 811, 1344, 593, 519, 5741, 267, 519, 8111, 6665, 800, 12243, 267, 2866, 543, 519, 2324, 1604, 563, 22923, 28483, 2791, 1058, 723, 513, 2178, 4282, 538, 835, 540, 519, 4143, 4110, 6030, 630, 10059, 2517, 3966, 528, 4821, 1673, 339, 335, 28482, 16896, 22812, 14142, 8276, 3881, 4248, 7302, 2335, 1564, 27492, 268, 823, 2389, 6235, 15304, 338, 16519, 13807, 534, 845, 2173, 6973, 1108, 7146, 17272, 1828, 270, 264, 630, 773, 596, 1058, 7363, 723, 267, 610, 2503, 547, 3489, 267, 693, 2547, 513, 476, 273, 281, 272, 12968, 2293, 4110, 630, 528, 3486, 6697, 630, 10059, 2517, 4178, 19544, 1638, 28482, 16896, 270, 577, 5366, 3620, 1638, 270, 13231, 344, 27408, 3620, 1638, 30032, 1181, 1049, 11305, 870, 787, 5498, 1105, 269, 5684, 343, 4297, 1916, 763, 3498, 21120, 568, 13638, 476, 276, 628, 5130, 476, 1708, 272, 267, 543, 11042, 786, 1491, 1747, 538, 3735, 5988, 563, 8923, 1294, 519, 7754, 528, 4821, 3896, 630, 8698, 19534, 264, 585, 2407, 1344, 593, 7616, 543, 875, 547, 4019, 563, 3963, 711, 1039, 513, 5048, 1934, 454, 17780, 593, 707, 1699, 19707, 649, 4363, 519, 1739, 3406, 12086, 563, 17780, 593, 707, 1699, 3406, 7355, 649, 2219, 596, 1522, 581, 5461, 538, 891, 269, 0, 7230, 913, 14255, 689, 1239, 538, 678, 20438, 1310, 7421, 519, 1062, 8638, 519, 1592, 540, 17161, 1644, 543, 519, 1592, 540, 7270, 609, 1644, 1543, 267, 538, 1840, 596, 666, 1294, 799, 17161, 1034, 5461, 5561, 593, 519, 713, 3896 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18950, 274, 1422, 9392, 476, 1015, 20972, 1015, 348, 815, 476, 274, 269, 271, 17910, 9387, 265, 10926, 13707, 717, 5183, 585, 782, 1614, 1296, 281, 1422, 8218, 9387, 265, 4153, 2765, 18950, 274, 269, 271, 1341, 476, 273, 269, 28803, 1341, 476, 273, 269, 5379, 278, 20972, 274, 348, 815, 476, 273, 269, 276, 4281, 17910, 9387, 265, 10926, 2252, 713, 2875, 1185, 782, 645, 779, 538, 1010, 1422, 8218, 9387, 15857, 1556, 3867, 628, 4153, 754, 9387, 15857, 3446, 1032, 267, 646, 9327, 1406, 1118, 519, 10421, 269, 2913, 779, 2119, 547, 1294, 1018, 1010, 1422, 8218, 9387, 15857, 1556, 3867, 628, 4153, 754, 9387, 15857, 3446, 1032, 717, 5183, 1131, 723, 547, 581, 538, 1931, 547, 1118, 519, 5934, 717, 5183, 10421, 1210, 606, 8635, 780, 13707, 717, 5183, 585, 782, 1614, 1296, 281, 1422, 8218, 9387, 265, 4153, 2765, 18950, 343, 1341, 476, 273, 269, 28803, 1341, 476, 273, 269, 5379, 278, 20972, 274, 348, 1422, 613, 476, 274, 269, 271, 17910, 9387, 15857, 1577, 1422, 8218, 9387, 15857, 343, 17910, 9387, 15857, 2099, 1422, 8218, 9387, 15857, 1556, 3867, 628, 4153, 754, 9387, 15857, 3446, 779, 717, 5183, 692, 17961, 9387, 265, 4153, 2765, 18950, 343, 1341, 476, 275, 269, 278, 3374, 20972, 274, 348, 1299, 315, 613, 476, 274, 269, 271, 11138, 1535, 1341, 476, 275, 269, 278, 3374, 1299, 315, 613, 476, 280, 11138, 1535, 1299, 315, 613, 476, 275, 269, 25228, 17910, 9387, 265, 10926, 1607, 1797, 602, 713, 2875, 779, 717, 5183, 585, 1422, 8218, 9387, 15857, 1556, 3867, 628, 4153, 754, 9387, 15857, 3446, 1032, 1131, 723, 547, 581, 693, 2547, 476, 275, 269, 25228, 269, 1684, 596, 1589, 713, 568, 2009, 286, 4208, 610, 1946, 711, 286, 630, 9616, 281, 1403, 1164, 1153, 1053, 1491, 5049, 693, 513, 2146, 2852, 610, 606, 11628, 9255, 618, 1576, 267, 646, 24172, 666, 7118, 606, 3606, 476, 272, 1448, 585, 741, 3803, 9344, 269, 1775, 4318, 269, 589, 968, 289, 892, 3446, 1131, 1205, 7229, 883, 519, 717, 5183, 607, 476, 275, 269, 271, 3079, 540, 476, 274, 269, 271, 24355, 2162, 22362, 27148, 692, 2252, 596, 616, 1164, 1153, 2875, 267, 2259, 12719, 1018, 9344, 596, 1058, 7118, 538, 1931, 547, 1205, 513, 5934, 10421, 717, 5183, 547, 1205, 883, 513, 1880, 6280, 540, 3903, 269, 6733, 593, 519, 6280, 779, 3896, 256, 3962, 6280, 779, 4170, 616, 1114, 2439, 2162, 11872, 270, 11947, 7547, 11109, 8373, 286, 7797, 606, 3390, 780, 21760, 31209, 539, 7956, 11872, 0, 10574, 5851, 1923, 4569, 11762, 1923, 5113, 11762, 1923, 11762, 19336, 1923, 9457, 5903, 1923, 6435, 454, 8281, 519, 4578, 4578, 5590, 1948, 30203, 6168, 519, 4578, 7348, 519, 4578, 6435, 609, 4635, 4578, 7591, 609, 519, 1239, 593, 6465, 24979, 4875, 692, 7883, 547, 5440, 692, 10666, 519, 4578, 692, 5723, 27345, 645, 7495, 312, 25723, 20846, 966, 8991, 4785, 645, 6938, 2562, 25723, 20846, 5508, 631, 4456, 300, 28940, 692, 18693, 6248, 338, 568, 519, 11050, 2079, 540, 23835, 21925, 9497, 1993, 610, 11341, 547, 1272, 4783, 610, 1646, 8442, 6724, 971, 607, 4463, 267, 2597, 267, 3337, 267, 19916, 267, 2085, 267, 3092, 269, 4437, 6248, 338, 568, 835, 1883, 547, 1620, 2208, 540, 2043, 609, 942, 269, 4437, 6248, 338, 666, 849, 581, 4294, 547, 2516, 540, 7103, 630, 7945, 607, 513, 2551, 540, 19958, 535, 597, 4054, 267, 610, 782, 17984, 267, 610, 782, 11864, 264, 547, 2744, 4030, 883, 4909, 3741, 540, 2208, 610, 2623, 538, 1346, 2516, 780, 5472, 2581, 543, 595, 545, 3832, 26152, 630, 3192, 277, 264, 1683, 1239, 593, 1560, 2597, 630, 514, 13532, 264, 543, 7222, 2634, 2597, 630, 514, 10101, 264, 585, 476, 7830, 1114, 18714, 11864, 630, 7224, 16385, 1040, 4841, 1058, 2243, 519, 2495, 540, 891, 8424, 540, 2338, 5612, 269, 1280, 1383, 267, 972, 568, 1152, 835, 6292, 540, 2338, 585, 3425, 269, 1772, 713, 513, 2582, 3611, 636, 540, 513, 2582, 1480, 286, 1772, 713, 519, 1611, 540, 1082, 7403, 286, 6196, 610, 1762, 267, 5256, 610, 4775, 267, 1134, 10480, 610, 4731, 333, 712, 1639, 286, 634, 834, 16058, 257, 538, 519, 3349, 22179, 476, 7830, 13532, 610, 476, 15793, 6550, 282, 568, 713, 11347, 286, 769, 1840, 267, 891, 1239, 941, 711, 6394, 676, 513, 2582, 31375, 267, 6862, 941, 789, 6394, 538, 519, 1482, 6073, 267, 5310, 4946, 6988, 780, 763, 2418, 540, 1560, 2597, 2039, 936, 476, 277, 9753, 540, 9588, 269, 1677, 2099, 1239, 609, 971, 513, 2647, 2039, 540, 2418, 593, 513, 2582, 3113, 3340, 17969, 916, 269, 634, 4729, 540, 2845, 1560, 2597, 8957, 2845, 2634, 2597, 2982, 513, 2178, 2318, 9756, 267, 607, 547, 581, 4397, 780, 288, 5276, 9695, 998, 519, 2845, 2000, 690, 1239, 814, 513, 9425, 1164, 9756, 11664, 267, 11021, 513, 1434, 3514, 540, 513, 1379, 1876, 547, 519, 3312, 9497, 684, 8421, 3022, 8442, 1239, 269, 634, 9386, 540, 713, 1899, 568, 1447, 982, 476, 272, 267, 10834, 513, 4756, 5223, 540, 1560, 547, 2634, 2597, 607, 513, 1599, 540, 2450, 540, 519, 25850, 269, 634, 20800, 1447, 982, 476, 272, 6920, 602, 1507, 11864, 723, 5266, 1804, 12058, 3379, 547, 1560, 2450, 267, 4440, 1317, 789, 723, 5266, 1804, 9843, 780, 8601, 2921, 519, 2845, 540, 1312, 4632, 267, 513, 1804, 2179, 540, 14649, 3788, 269, 4935, 519, 1655, 3514, 1379, 1876, 547, 891, 1239, 786, 711, 723, 1454, 16762, 1871, 282, 835, 1131, 711, 946, 713, 12170, 2078, 547, 3589, 2634, 2597, 540, 513, 25850, 585, 799, 1152, 1560, 2597, 729, 1634, 269, 2659, 12605, 1522, 581, 1055, 676, 606, 1931, 540, 9588, 610, 811, 780, 300, 2459, 1023, 602, 4729, 1657, 519, 1655, 3514, 1899, 723, 5266, 1804, 12058, 585, 741, 1560, 2450, 282, 22171, 267, 16403, 1186, 267, 3777, 2692, 976, 543, 3425, 782, 4729, 1134, 1657, 519, 1899, 269, 1656, 538, 2013, 596, 2811, 4743, 1159, 1872, 267, 865, 798, 2666, 25277, 269, 634, 1566, 1601, 636, 8813, 1134, 2630, 519, 1899, 780, 2005, 1131, 581, 4277, 547, 1294, 1239, 585, 513, 2582, 2249, 267, 971, 607, 31352, 4925, 610, 17544, 780, 27270, 281, 2353, 2581, 267, 570, 269, 543, 595, 545, 3832, 26152, 267, 667, 269, 966, 269, 630, 3192, 277, 1070, 12619, 538, 11864, 281, 8733, 543, 13338, 31426, 282, 3163, 267, 642, 269, 476, 3707, 267, 6032, 269, 476, 278, 3953, 268, 278, 4097, 780, 7883, 547, 5440, 692, 8698, 519, 4578, 692, 2353, 2581, 1696, 620, 630, 3192, 277, 1070, 11864, 2634, 543, 1560, 2597, 1560, 530, 339, 4846, 2634, 530, 339, 575, 2845, 1560, 2845, 2634, 476, 277, 4792, 275, 269, 1822, 476, 6872, 272, 273, 269, 876, 476, 274, 269, 11025, 476, 274, 269, 10602, 476, 272, 269, 1822, 476, 277, 269, 2568, 476, 271, 269, 876, 476, 271, 269, 11025, 476, 274, 269, 4343, 276, 476, 4510, 269, 2004, 476, 271, 269, 7871, 476, 272, 269, 4792, 476, 271, 269, 280, 736, 476, 276, 269, 3583, 910, 271, 269, 6860, 476, 271, 269, 10602, 476, 22724, 278, 269, 1822, 476, 29121, 274, 269, 876, 476, 274, 269, 6078, 476, 274, 269, 5780, 476, 1015, 269, 20862, 476, 9692, 269, 2004, 476, 272, 269, 6349, 476, 273, 269, 1839, 476, 271, 269, 271, 2537, 476, 271, 269, 1789, 910, 272, 269, 5038, 910, 271, 269, 7367, 476, 8182, 269, 1822, 476, 15433, 269, 876, 476, 273, 269, 736, 476, 273, 269, 2537, 476, 274, 269, 4968, 476, 1839, 269, 2568, 476, 271, 269, 7367, 476, 272, 269, 6078, 476, 7367, 269, 8182, 476, 24496, 269, 876, 476, 272, 269, 7761, 476, 273, 269, 5038, 476, 271, 269, 28883, 476, 277, 269, 2412, 910, 271, 269, 4391, 476, 271, 269, 10037, 476, 275, 4792, 269, 1822, 476, 275, 2537, 269, 876, 476, 273, 269, 6858, 476, 273, 269, 8287, 476, 271, 269, 20862, 476, 273, 269, 2412, 910, 271, 269, 2918, 476, 271, 269, 4343, 476, 6942, 269, 1911, 476, 275, 866, 269, 876, 476, 273, 269, 2767, 476, 273, 269, 7830, 476, 271, 269, 271, 4037, 476, 272, 269, 736, 910, 272, 269, 1321, 476, 271, 269, 5400, 476, 274, 269, 1822, 476, 1839, 269, 876, 476, 271, 269, 4366, 476, 272, 269, 2412, 476, 271, 269, 4281, 276, 476, 274, 269, 2004, 910, 271, 269, 1556, 476, 271, 269, 7918, 476, 271, 269, 1220, 476, 276, 269, 876, 910, 271, 269, 3583, 476, 271, 269, 3583, 476, 272, 269, 25148, 476, 1704, 269, 2004, 476, 271, 269, 1428, 476, 272, 269, 2190, 476, 2568, 269, 1822, 476, 10037, 269, 876, 476, 272, 269, 4281, 476, 272, 269, 11011, 476, 276, 3066, 269, 1822, 476, 27151, 269, 876, 476, 273, 269, 7761, 476, 273, 269, 10695, 476, 2767, 269, 32133, 476, 12893, 269, 876, 476, 272, 269, 4510, 476, 273, 269, 6187, 476, 271, 269, 6344, 476, 272, 269, 876, 910, 271, 269, 10844, 476, 271, 269, 876, 476, 21709, 269, 1822, 476, 32076, 269, 876, 476, 273, 269, 3953, 476, 273, 269, 8618, 476, 5952, 269, 1822, 476, 23283, 269, 876, 476, 272, 269, 11152, 476, 273, 269, 7906, 476, 3607, 269, 20065, 476, 15686, 269, 2004, 476, 272, 269, 6321, 476, 273, 269, 5400, 476, 271, 269, 6200, 476, 275, 269, 876, 910, 272, 269, 876, 476, 271, 269, 2568, 476, 272, 269, 31239, 476, 276, 269, 2004, 476, 271, 269, 6349, 476, 271, 269, 10619, 476, 276, 2641, 269, 1822, 476, 277, 4649, 269, 876, 476, 273, 269, 7761, 476, 273, 269, 11025, 476, 1911, 269, 1822, 476, 14991, 269, 876, 476, 273, 269, 876, 476, 273, 269, 736, 476, 3374, 269, 1822, 476, 6321, 269, 876, 476, 272, 269, 7918, 476, 272, 269, 4037, 476, 271, 269, 22650, 476, 271, 269, 1691, 910, 273, 269, 1789, 910, 271, 269, 5952, 476, 271, 269, 18089, 476, 271, 269, 1839, 910, 273, 269, 876, 910, 271, 269, 2568, 476, 7830, 269, 1822, 476, 15171, 271, 269, 876, 476, 272, 269, 8064, 476, 274, 269, 1321, 476, 271, 269, 14338, 476, 274, 269, 876, 910, 271, 269, 11011, 476, 271, 269, 4366, 476, 272, 269, 12573, 476, 279, 269, 1015, 476, 271, 269, 1724, 476, 271, 269, 11011, 476, 271, 269, 271, 2537, 476, 271, 269, 2412, 910, 272, 269, 5038, 910, 271, 269, 2412, 476, 271, 269, 271, 4366, 476, 271, 269, 3451, 910, 272, 269, 3953, 910, 271, 269, 4366, 476, 272, 269, 10384, 476, 277, 269, 1789, 476, 271, 269, 2537, 476, 271, 269, 3199, 476, 274, 269, 4335, 476, 1015, 269, 3199, 476, 271, 269, 7918, 476, 272, 269, 6734, 476, 7742, 269, 1822, 476, 275, 3445, 269, 876, 476, 273, 269, 2412, 476, 273, 269, 7597, 476, 271, 269, 21878, 476, 1428, 269, 2004, 910, 271, 269, 3953, 476, 272, 269, 866, 476, 1015, 269, 1822, 476, 12893, 269, 876, 476, 272, 269, 876, 476, 273, 269, 6187, 476, 272, 269, 30663, 476, 1556, 269, 2412, 476, 271, 269, 2641, 476, 272, 269, 6187, 476, 4572, 269, 1822, 476, 5197, 269, 876, 476, 273, 269, 2764, 476, 273, 269, 2918, 476, 273, 269, 4335, 476, 1321, 269, 1015, 476, 271, 269, 2412, 476, 272, 269, 5400, 476, 275, 269, 25971, 476, 4375, 269, 736, 476, 271, 269, 8287, 476, 272, 269, 6795, 476, 271, 269, 18231, 476, 272, 269, 3445, 910, 271, 269, 4649, 476, 271, 269, 2764, 476, 275, 269, 20720, 476, 2004, 269, 2412, 476, 271, 269, 8287, 476, 272, 269, 3583, 476, 277, 269, 8517, 476, 9692, 269, 876, 476, 271, 269, 10695, 476, 273, 269, 1839, 476, 271, 269, 16020, 476, 1321, 269, 1789, 910, 271, 269, 1321, 476, 272, 269, 6021, 476, 274, 269, 7785, 476, 2641, 269, 876, 476, 271, 269, 6321, 476, 272, 269, 3953, 476, 10695, 269, 1822, 476, 7176, 269, 736, 476, 272, 269, 10844, 476, 272, 269, 4200, 476, 4649, 269, 4335, 476, 11260, 269, 876, 476, 272, 269, 10619, 476, 273, 269, 2190, 476, 272, 269, 6110, 476, 1321, 269, 2004, 476, 271, 269, 1428, 476, 272, 269, 1015, 476, 271, 269, 271, 2568, 476, 272, 269, 876, 910, 272, 269, 2420, 476, 271, 269, 876, 476, 271, 269, 12010, 476, 273, 269, 2568, 910, 271, 269, 4962, 476, 271, 269, 6078, 476, 273, 269, 1822, 476, 1321, 269, 1789, 476, 271, 269, 1789, 476, 272, 269, 6021, 476, 271, 269, 10441, 476, 273 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 563, 268, 10089, 321, 654, 571, 6137, 281, 634, 9018, 4494, 540, 519, 13342, 15941, 1058, 3819, 267, 1247, 519, 6418, 3382, 13978, 5848, 1107, 621, 779, 942, 547, 7556, 2336, 268, 7233, 674, 10008, 720, 281, 17786, 335, 16714, 1299, 5323, 14563, 3762, 1611, 15657, 563, 268, 7033, 532, 281, 476, 3445, 1107, 476, 6344, 2395, 1310, 9544, 4266, 563, 19604, 4034, 532, 568, 1152, 519, 4098, 256, 7743, 7829, 2553, 616, 2556, 547, 2226, 519, 13342, 779, 15325, 269, 1656, 3314, 1107, 1810, 1406, 7556, 936, 686, 701, 13342, 267, 610, 621, 949, 17708, 339, 2038, 1282, 4859, 563, 309, 2086, 2231, 543, 1979, 17871, 6705, 917, 519, 2956, 540, 13342, 1107, 621, 8952, 3025, 693, 513, 2922, 3845, 2336, 19604, 4034, 532, 12275, 997, 538, 4437, 17871, 28524, 13756, 454, 18693, 17871, 8105, 666, 1764, 519, 6492, 543, 2298, 540, 13342, 269, 1677, 1205, 519, 1655, 6556, 543, 1494, 1890, 267, 596, 991, 547, 7556, 13342, 609, 13657, 269, 3371, 779, 875, 912, 268, 1879, 519, 3762, 1376, 547, 6960, 267, 621, 779, 942, 547, 7556, 563, 268, 28528, 2007, 1472, 519, 15941, 609, 513, 23643, 610, 15524, 767, 267, 711, 14124, 621, 563, 268, 670, 836, 519, 15620, 26700, 1524, 585, 1614, 4374, 267, 1287, 4558, 538, 513, 3579, 267, 3819, 1747, 563, 18693, 17871, 8105, 2115, 9639, 543, 1416, 2429, 1142, 1900, 1107, 9544, 267, 14237, 267, 543, 16276, 269, 901, 1259, 267, 707, 13342, 786, 581, 2407, 540, 8137, 543, 1072, 2640, 563, 3682, 17785, 281, 4495, 596, 4076, 19122, 13342, 267, 17967, 707, 7031, 269, 901, 13515, 3676, 689, 2679, 909, 538, 519, 3037, 676, 4657, 1141, 1114, 2371, 616, 6738, 563, 16605, 707, 13342, 4195, 543, 707, 14326, 1164, 609, 891, 1979, 17871, 4859, 15361, 2336, 1805, 1681, 12275, 997, 538, 4437, 17871, 28524, 454, 2414, 2327, 707, 13342, 568, 6740, 7157, 538, 1979, 17871, 8105, 267, 596, 991, 547, 917, 519, 1318, 2409, 269, 27686, 543, 15018, 707, 13342, 568, 519, 1101, 1900, 547, 2327, 922, 15325, 269, 11374, 713, 267, 596, 991, 547, 917, 519, 1114, 2409, 585, 1697, 4859, 540, 13342, 538, 1979, 17871, 8105, 563, 27662, 532, 543, 667, 11538, 12275, 997, 538, 4437, 17871, 28524, 454, 2005, 779, 942, 547, 1205, 3860, 609, 707, 13342, 256, 4437, 17871, 8105, 3091, 2027, 2553, 585, 7738, 543, 13936, 13342, 269, 3371, 779, 875, 912, 268, 28610, 281, 1879, 519, 15620, 2490, 5835, 267, 621, 779, 942, 547, 4584, 873, 563, 268, 11162, 281, 17179, 519, 13897, 609, 513, 2571, 1532, 2077, 548, 11453, 610, 707, 11263, 563, 268, 16959, 281, 20233, 873, 856, 593, 513, 17450, 26745, 610, 13793, 538, 1507, 536, 31708, 538, 513, 1134, 268, 1203, 23624, 1858, 269, 2913, 873, 3819, 585, 1079, 547, 1614, 4374, 563, 268, 15188, 281, 10925, 519, 12015, 13342, 538, 513, 3579, 267, 3819, 1747, 543, 621, 3580, 2063, 909, 547, 3670, 3275, 563, 289, 517, 639, 281, 4437, 17871, 8105, 3096, 11003, 21339, 547, 1118, 2371, 3063, 8770, 11656, 543, 2635, 269, 9578, 267, 621, 779, 4264, 2336, 29222, 5517, 281, 9147, 21072, 1031, 13342, 585, 1426, 543, 4915, 267, 543, 1256, 3909, 18428, 2336, 10287, 1979, 17871, 2409, 547, 1832, 707, 13342, 4195, 543, 707, 14326, 1164, 2336, 32325, 585, 7743, 19554, 540, 12275, 997, 538, 4437, 17871, 28524, 454, 15430, 6326, 13342, 568, 4105, 547, 1832, 621, 4195, 543, 3514, 585, 1979, 17871, 8105, 269, 3371, 616, 930, 4388, 912, 268, 15188, 873, 538, 513, 5887, 23624, 8708, 267, 585, 2011, 10009, 563, 268, 9255, 873, 538, 513, 3819, 1858, 610, 513, 11127, 267, 865, 1100, 7509, 4991, 538, 563, 268, 5901, 873, 538, 513, 3579, 267, 4158, 1747, 563, 268, 2913, 873, 840, 11546, 5139, 3433, 585, 476, 2190, 3108, 1354, 13936, 563, 268, 9484, 26147, 15620, 689, 804, 7174, 563, 268, 15147, 519, 15620, 609, 5958, 547, 2149, 873, 563, 293, 565, 16161, 814, 621, 602, 5329, 13342, 2282, 19790, 784, 14993, 610, 824, 20521, 2371, 786, 948, 1832, 922, 8137, 269, 2368, 1256, 2161, 602, 7599, 9979, 543, 10785, 1404, 513, 1909, 563, 3080, 16027, 3838, 741, 4859, 1505, 281, 24590, 519, 15620, 883, 804, 7174, 543, 13936, 873, 538, 14462, 3282, 538, 4837, 30660, 269, 901, 267, 789, 1767, 267, 8952, 741, 13342, 4195, 585, 3275, 2336, 18693, 17871, 8105, 5849, 513, 5812, 3761, 540, 4195, 267, 8949, 13342, 1107, 543, 1100, 30632, 2231, 563, 6962, 543, 11588, 540, 31896, 12275, 997, 538, 4437, 17871, 28524, 454, 294, 541, 997, 31896, 543, 4437, 17871, 28524, 1107, 11588, 8895, 648, 2336, 5522, 13589, 13342, 1210, 1979, 17871, 2409, 6770, 1082, 5383, 269, 2913, 779, 2263, 873, 912, 268, 12275, 997, 779, 2067, 21734, 3601, 948, 1852, 10860, 543, 3676, 538, 519, 3037, 563, 268, 4437, 17871, 8105, 5849, 3037, 568, 16138, 1639, 609, 1898, 5567, 547, 3132, 1164, 7779, 13342, 563, 268, 4437, 17871, 21339, 2061, 3037, 22930, 267, 2333, 9265, 267, 543, 2087, 2030, 6043, 563, 268, 14606, 1072, 568, 8476, 267, 3056, 547, 1279, 3856, 6940, 543, 4389, 5533, 563, 268, 4400, 11729, 267, 1732, 6492, 267, 543, 2799, 4859, 1272, 1267, 689, 713, 1505, 563, 31936, 267, 621, 779, 4443, 547, 2226, 607, 621, 3340, 7864, 11378, 982, 2757, 2409, 269, 1677, 2327, 513, 3811, 7693, 2208, 4783, 267, 6451, 713, 1935, 883, 2834, 4677, 5826, 563, 3682, 17785, 281, 7233, 707, 13342, 950, 5210, 543, 7509, 616, 6099, 585, 2208, 563, 21761, 18542, 5999, 454, 304, 281, 1879, 568, 519, 1655, 942, 547, 2030, 13342, 585, 1979, 17871, 8105, 888, 288, 281, 634, 1655, 942, 547, 2030, 13342, 585, 1979, 17871, 8105, 568, 538, 519, 2887, 267, 23295, 476, 273, 268, 275, 4374, 1354, 519, 1101, 2182, 15470, 563, 304, 281, 1548, 1826, 540, 3037, 568, 1655, 585, 9544, 13342, 888, 288, 281, 12275, 997, 9428, 1655, 538, 1134, 1673, 11712, 3037, 602, 568, 3638, 538, 5214, 2339, 267, 609, 513, 9063, 1063, 476, 277, 269, 271, 543, 476, 278, 269, 271, 563, 304, 281, 1548, 3099, 540, 13342, 568, 1655, 585, 1979, 17871, 8105, 888, 288, 281, 1703, 616, 1082, 8677, 540, 13342, 602, 616, 5078, 585, 1979, 17871, 8105, 267, 855, 930, 2442, 3283, 1331, 4436, 6519, 267, 8535, 267, 543, 4414, 1677, 577, 563, 304, 281, 1215, 2620, 1058, 594, 2030, 13342, 804, 7174, 888, 288, 281, 12275, 997, 804, 7174, 1058, 581, 12630, 827, 476, 273, 6279, 2620, 543, 22274, 827, 476, 277, 6279, 6306, 563, 304, 281, 1215, 1419, 1058, 594, 1216, 13342, 888, 288, 281, 12275, 997, 1058, 581, 530, 23926, 5781, 267, 855, 711, 936, 2914, 23926, 269, 4826, 532, 2899, 513, 3018, 568, 2356, 6190, 267, 855, 713, 949, 4268, 4470, 593, 4365, 2175, 563, 304, 281, 1879, 568, 519, 1655, 942, 547, 7556, 13342, 888, 288, 281, 12275, 997, 568, 2356, 4712, 547, 7556, 538, 519, 4832, 267, 950, 519, 3762, 1376, 547, 2490, 6960, 543, 3819, 269, 898, 779, 1271, 547, 7556, 13342, 1354, 519, 3762, 4625, 3819, 856, 267, 607, 713, 666, 1860, 519, 2298, 540, 519, 804, 7174, 269, 0, 289, 659, 30249, 1395, 333, 1512, 328, 568, 849, 1634, 607, 4173, 335, 652, 529, 1395, 333, 1512, 320, 267, 12725, 2442, 607, 23347, 14741, 610, 808, 23750, 574, 9346, 538, 3127, 269, 898, 568, 4922, 1726, 25979, 607, 519, 2413, 1242, 10786, 602, 729, 1031, 676, 25072, 545, 2564, 9439, 585, 827, 476, 274, 267, 1822, 1296, 630, 300, 4157, 615, 329, 2465, 543, 1546, 344, 267, 476, 3422, 277, 1040, 763, 10786, 568, 1336, 782, 936, 519, 4095, 1016, 29657, 538, 1216, 344, 543, 32761, 344, 4025, 630, 301, 611, 330, 7568, 328, 543, 24385, 330, 7568, 328, 267, 476, 3192, 277, 1040, 1280, 5553, 267, 519, 10786, 814, 1044, 1031, 538, 25072, 545, 2564, 1062, 607, 513, 10444, 1418, 25579, 8718, 267, 2634, 543, 3556, 3999, 4577, 267, 7393, 3965, 1379, 267, 543, 607, 1884, 773, 335, 850, 10364, 5061, 543, 606, 24196, 656, 630, 8072, 289, 659, 30249, 1395, 333, 1512, 320, 269, 3933, 1748, 8730, 476, 1220, 275, 282, 932, 641, 571, 1696, 620, 1421, 476, 4198, 277, 1040, 634, 1100, 32430, 3252, 540, 645, 659, 30249, 814, 1044, 4330, 543, 6594, 14916, 593, 3965, 543, 17133, 630, 298, 784, 651, 1177, 1696, 620, 1421, 476, 1001, 275, 282, 3026, 1446, 1696, 620, 1421, 476, 1001, 274, 1040, 634, 1292, 7135, 602, 616, 3743, 585, 519, 14278, 1670, 2360, 540, 519, 10786, 1331, 10322, 11169, 267, 18682, 517, 1231, 267, 543, 30175, 6950, 267, 1247, 824, 30175, 6950, 899, 15522, 543, 1200, 335, 32347, 723, 1044, 4080, 630, 2419, 641, 571, 1696, 620, 1421, 476, 4198, 277, 282, 20144, 1177, 534, 267, 476, 1001, 276, 1040, 898, 814, 1044, 1336, 602, 519, 1292, 3114, 7623, 3743, 585, 5778, 874, 29108, 1670, 2360, 267, 5042, 19349, 267, 543, 1884, 3554, 333, 4382, 1198, 540, 519, 10786, 568, 536, 659, 657, 728, 589, 267, 8655, 607, 476, 274, 24179, 320, 6441, 268, 541, 629, 514, 4878, 3757, 657, 2643, 9984, 302, 1532, 5937, 25322, 1075, 4878, 3757, 657, 728, 268, 1015, 267, 476, 736, 26817, 5139, 32611, 268, 1626, 268, 8208, 334, 1673, 2459, 541, 268, 2190, 268, 2940, 630, 294, 889, 321, 2335, 822, 541, 1696, 620, 1421, 476, 1001, 274, 1916, 294, 719, 568, 513, 2068, 3361, 676, 519, 5786, 538, 579, 878, 3679, 608, 17917, 1813, 547, 4524, 538, 1625, 710, 10307, 799, 568, 13251, 2901, 676, 9715, 610, 4719, 2188, 269, 21418, 579, 878, 3679, 538, 519, 1973, 267, 22775, 885, 538, 519, 10549, 267, 543, 5312, 30456, 344, 12263, 616, 519, 2564, 4162, 540, 30456, 269, 2060, 519, 3384, 2713, 4441, 267, 519, 2392, 7631, 766, 540, 713, 2068, 814, 2919, 7930, 263, 2419, 559, 28385, 1696, 620, 1421, 476, 1001, 271, 1040, 717, 719, 344, 12263, 630, 16598, 264, 568, 513, 11213, 2783, 1813, 547, 16358, 1436, 540, 2712, 622, 538, 10549, 543, 2571, 5160, 267, 4611, 538, 519, 15038, 540, 579, 878, 3679, 538, 519, 1560, 630, 289, 327, 753, 532, 1696, 620, 1421, 476, 1001, 271, 1040, 6168, 476, 279, 269, 274, 2929, 540, 4587, 2367, 543, 2021, 941, 6059, 547, 723, 1044, 4299, 538, 7330, 630, 313, 16852, 1696, 620, 1421, 476, 1001, 272, 1040, 21781, 952, 2451, 15860, 267, 5012, 547, 513, 5312, 3942, 6353, 676, 6024, 6553, 543, 7298, 1395, 657, 18754, 2712, 622, 630, 5960, 308, 264, 13250, 1634, 607, 547, 12978, 267, 4611, 538, 8628, 3441, 540, 519, 10549, 267, 11761, 538, 5642, 267, 543, 1713, 9659, 630, 2710, 615, 1399, 1696, 620, 1421, 476, 1001, 273, 282, 26548, 2867, 974, 543, 645, 731, 514, 267, 476, 1001, 271, 1040, 634, 2359, 540, 21781, 568, 547, 2061, 1007, 12627, 5250, 543, 547, 23271, 519, 4540, 12627, 267, 799, 568, 25189, 676, 1210, 2712, 622, 268, 869, 1359, 3797, 6322, 585, 5329, 909, 519, 16796, 579, 878, 3679, 2630, 519, 25294, 1448, 585, 9049, 308, 269, 634, 19183, 616, 6417, 676, 1210, 4550, 13611, 3797, 267, 1519, 1875, 268, 3122, 18042, 4550, 13611, 5061, 630, 301, 6347, 31312, 1070, 29416, 8803, 6950, 267, 543, 897, 577, 21778, 630, 313, 28702, 1696, 620, 1421, 476, 1220, 277, 1040, 4014, 891, 5061, 616, 2500, 267, 1082, 2550, 609, 21781, 616, 1336, 547, 723, 4713, 1813, 547, 21781, 6527, 543, 17047, 15333, 785, 10716, 547, 519, 5781, 2139, 6527, 630, 2419, 340, 836, 1696, 620, 1421, 476, 1001, 272, 282, 3223, 523, 534, 1696, 620, 1421, 476, 1001, 272, 1040, 898, 814, 849, 1044, 1336, 602, 930, 2550, 3111, 547, 4431, 543, 5924, 616, 538, 1260, 680, 5050, 547, 519, 2139, 3044, 4550, 13611, 2126, 3056, 547, 519, 6988, 540, 4509, 30456, 344, 1166, 4100, 269, 968, 11795, 2159, 547, 1521, 892, 21781, 616, 1346, 2550, 609, 7368, 30456, 344, 1166, 4100, 585, 7247, 897, 577, 545, 1149, 267, 715, 6347, 10680, 543, 29416, 8803, 6950, 3112, 581, 1031, 585, 519, 2126, 630, 10468, 690, 328, 267, 476, 1001, 271, 282, 1924, 1696, 620, 1421, 476, 1001, 271, 282, 5576, 956, 5424, 267, 476, 1001, 272, 1040, 21781, 7620, 568, 519, 13350, 11271, 585, 2367, 607, 1395, 334, 691, 7781, 12263, 543, 538, 2021, 607, 23731, 334, 691, 7781, 12263, 538, 2022, 22797, 543, 7766, 1166, 4100, 538, 2367, 269, 769, 2367, 267, 1395, 334, 691, 7781, 12263, 543, 538, 4775, 267, 23731, 334 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 26676, 7261, 3913, 564, 16125, 9553, 1055, 519, 10656, 5032, 563, 268, 476, 1704, 4728, 910, 2160, 540, 4993, 267, 20588, 3173, 14773, 519, 5137, 540, 3693, 476, 7176, 799, 789, 723, 3957, 834, 5632, 4613, 1756, 8487, 268, 476, 736, 4728, 910, 6554, 540, 12996, 16976, 547, 1476, 4593, 622, 519, 3959, 540, 519, 14470, 5939, 563, 268, 476, 2420, 4728, 910, 5527, 7569, 602, 6628, 4894, 782, 922, 10136, 538, 590, 22222, 22575, 563, 268, 476, 2537, 4728, 910, 476, 2420, 526, 9142, 22952, 16008, 454, 268, 476, 1428, 4989, 910, 32068, 3751, 2274, 641, 1245, 8633, 3045, 25555, 602, 646, 568, 4712, 547, 15995, 6510, 538, 12797, 540, 1010, 5067, 645, 7596, 537, 514, 563, 268, 476, 2190, 4989, 910, 16888, 18005, 24509, 525, 519, 4639, 7813, 563, 268, 476, 2767, 4989, 910, 18766, 22727, 281, 769, 3162, 4000, 267, 519, 6828, 19791, 2920, 568, 5293, 267, 18005, 5302, 2958, 908, 14797, 563, 268, 476, 2767, 4989, 910, 6628, 18005, 2369, 2478, 5840, 563, 268, 476, 277, 2904, 910, 834, 290, 1794, 514, 32574, 257, 538, 4884, 540, 595, 1794, 514, 630, 289, 657, 11844, 264, 1996, 19797, 989, 337, 4115, 15024, 563, 268, 476, 277, 2904, 910, 570, 3326, 1495, 2494, 568, 1336, 563, 268, 476, 280, 2904, 910, 7917, 5576, 3861, 6799, 1010, 11556, 585, 519, 5137, 540, 513, 3443, 26049, 13539, 799, 646, 11099, 547, 581, 16832, 547, 519, 5826, 540, 18385, 12560, 1894, 1063, 519, 1114, 6082, 540, 519, 11782, 269, 901, 11556, 267, 1634, 607, 519, 834, 5576, 3861, 17083, 2580, 568, 2808, 547, 581, 519, 4098, 540, 519, 5137, 540, 1018, 568, 1631, 519, 3864, 5742, 563, 268, 476, 280, 2904, 910, 700, 269, 27050, 16735, 321, 731, 32245, 667, 1014, 7497, 281, 634, 7073, 3163, 540, 10076, 2657, 563, 268, 476, 1556, 2904, 910, 918, 1030, 879, 591, 9730, 5873, 902, 827, 2475, 6896, 6760, 2253, 563, 268, 476, 1724, 2904, 910, 634, 1101, 5198, 538, 519, 22305, 1116, 674, 8656, 16754, 2290, 2622, 29073, 1222, 729, 4371, 693, 18234, 7723, 267, 4789, 563, 268, 476, 1691, 2904, 910, 634, 15391, 338, 6807, 8648, 8255, 519, 2212, 1467, 267, 834, 7804, 269, 13153, 4858, 684, 590, 904, 9412, 564, 4469, 2074, 25792, 547, 9855, 4799, 268, 476, 1839, 2904, 910, 27201, 5174, 19495, 20658, 6773, 568, 18005, 8118, 547, 6808, 563, 268, 476, 2767, 2904, 910, 700, 4883, 534, 332, 7564, 7288, 538, 18940, 568, 1930, 563, 268, 476, 3066, 2904, 910, 853, 269, 681, 5255, 267, 1101, 6928, 547, 2235, 4379, 3572, 622, 3345, 3013, 21128, 538, 16199, 604, 1314, 267, 25429, 32108, 563, 268, 476, 272, 4873, 910, 8575, 10044, 700, 10394, 6238, 21074, 532, 563, 268, 476, 274, 4873, 910, 3689, 607, 1417, 540, 7788, 777, 1248, 320, 594, 267, 476, 1015, 628, 5207, 7823, 538, 519, 1158, 563, 268, 476, 277, 4873, 910, 11894, 281, 634, 1520, 7315, 538, 12428, 568, 3656, 1242, 563, 268, 476, 279, 4873, 910, 11184, 7338, 2349, 877, 344, 3587, 519, 1152, 12197, 15794, 531, 538, 8241, 1686, 563, 268, 476, 2537, 4873, 910, 8575, 10044, 700, 10394, 13515, 21074, 532, 454, 268, 476, 1839, 4873, 910, 22073, 540, 11114, 2782, 281, 4892, 2253, 11876, 8973, 7727, 538, 2013, 540, 32311, 532, 543, 22520, 563, 268, 476, 2918, 4873, 910, 634, 3162, 3979, 12057, 10596, 519, 4675, 1833, 540, 4004, 1143, 2920, 267, 3143, 269, 476, 4510, 540, 476, 4198, 271, 563, 268, 476, 2764, 4873, 910, 11114, 2782, 910, 3345, 11114, 4229, 7001, 1530, 9567, 563, 268, 476, 3066, 4873, 910, 2136, 2276, 9396, 1846, 4789, 476, 272, 268, 271, 538, 519, 476, 4198, 271, 674, 9281, 288, 2622, 19067, 563, 268, 476, 1626, 5147, 910, 772, 2607, 340, 599, 10726, 8478, 476, 273, 268, 272, 547, 3094, 519, 476, 4198, 271, 2622, 19067, 563, 268, 476, 1704, 5147, 910, 634, 4675, 1833, 540, 4004, 1143, 2920, 267, 5293, 593, 4873, 476, 2918, 267, 2501, 883, 3196, 538, 3162, 4000, 563, 268, 476, 276, 4864, 910, 23509, 932, 611, 19213, 7669, 338, 2066, 2296, 19305, 538, 476, 1724, 3108, 267, 476, 2420, 3764, 563, 268, 476, 276, 4864, 910, 589, 10514, 2000, 23565, 645, 268, 3066, 8111, 3228, 816, 26301, 883, 513, 10821, 1858, 538, 4993, 281, 476, 1704, 4666, 267, 476, 6924, 13676, 563, 268, 476, 277, 4864, 910, 681, 3999, 538, 29761, 538, 16313, 626, 23405, 563, 268, 476, 279, 4864, 910, 12736, 8725, 26235, 7028, 2856, 540, 3443, 26049, 7952, 24027, 609, 4516, 543, 7330, 563, 268, 476, 1321, 4864, 910, 769, 1010, 2037, 7094, 673, 1412, 5274, 328, 9198, 529, 3299, 15352, 623, 3780, 2473, 2862, 32141, 4720, 547, 581, 513, 3978, 8367, 602, 1705, 711, 17591, 1898, 7826, 10752, 563, 268, 476, 1428, 4864, 910, 32495, 820, 543, 17160, 538, 2667, 600, 267, 3127, 281, 476, 6872, 275, 7972, 267, 476, 276, 267, 1822, 267, 1822, 5156, 15602, 563, 268, 476, 2420, 4864, 910, 7690, 540, 519, 8056, 659, 3634, 9839, 540, 6307, 12054, 2435, 267, 22105, 321, 1791, 534, 4975, 267, 13372, 563, 268, 476, 2537, 4864, 910, 26499, 776, 22256, 268, 18503, 6754, 7605, 525, 517, 267, 4171, 1780, 1636, 814, 5063, 1044, 2847, 12097, 1317, 540, 1010, 16957, 19797, 28930, 725, 267, 10742, 609, 772, 2529, 269, 8387, 538, 606, 4674, 547, 1205, 621, 5368, 26061, 269, 1261, 568, 28336, 267, 543, 621, 568, 711, 5368, 26061, 2394, 476, 4198, 279, 563, 268, 476, 275, 5181, 910, 11023, 28002, 17813, 3118, 568, 519, 3135, 540, 519, 22305, 1116, 8828, 476, 4335, 267, 519, 1101, 476, 4335, 28902, 7730, 290, 2752, 5198, 563, 268, 476, 275, 5181, 910, 2142, 564, 548, 13391, 13704, 13371, 14816, 3323, 563, 268, 476, 278, 5181, 910, 15021, 9553, 2458, 22663, 538, 1715, 595, 4379, 1442, 267, 10430, 910, 476, 1724, 19379, 4666, 269, 476, 14138, 11324, 4240, 563, 268, 476, 278, 5181, 910, 634, 3756, 6011, 18266, 610, 31664, 3181, 7491, 593, 8613, 563, 268, 476, 279, 5181, 910, 634, 16470, 13870, 2920, 568, 21892, 883, 1876, 538, 519, 772, 2529, 1421, 5935, 1977, 4108, 24931, 585, 519, 1985, 476, 2568, 1296, 563, 268, 476, 280, 5181, 910, 634, 772, 2529, 269, 1533, 540, 4993, 22842, 922, 1298, 27812, 16683, 563, 268, 476, 1321, 5181, 910, 19797, 27632, 1824, 538, 12670, 563, 268, 476, 1428, 5181, 910, 20466, 10136, 2244, 538, 769, 577, 517, 267, 13026, 676, 3345, 9705, 267, 547, 2253, 519, 11135, 540, 769, 577, 517, 563, 268, 476, 866, 5181, 910, 4639, 5125, 16976, 547, 1625, 613, 21340, 8387, 563, 268, 476, 2918, 5181, 910, 12868, 15861, 547, 519, 2136, 8315, 563, 268, 476, 2764, 5181, 910, 14105, 17659, 12064, 13847, 4583, 2110, 1650, 834, 763, 966, 15505, 339, 4840, 268, 476, 1789, 5181, 910, 715, 17092, 268, 6924, 21892, 676, 5518, 32457, 267, 4259, 2475, 4914, 3609, 585, 519, 1985, 8938, 1296, 563, 268, 476, 273, 5239, 910, 634, 13371, 14816, 3212, 534, 7491, 676, 8176, 631, 269, 5576, 592, 345, 568, 1101, 3370, 538, 5722, 2475, 14786, 563, 268, 476, 274, 5239, 910, 5192, 14243, 331, 1470, 667, 1941, 21304, 966, 1173, 553, 267, 11221, 7022, 540, 8478, 267, 585, 513, 2947, 4458, 2165, 563, 268, 476, 276, 5239, 910, 24414, 2229, 844, 20635, 27632, 1824, 538, 519, 20703, 25458, 553, 563, 268, 476, 278, 5239, 910, 634, 476, 4198, 271, 268, 4198, 272, 12289, 540, 17230, 676, 3624, 5956, 563, 268, 476, 278, 5239, 910, 3397, 622, 10426, 15167, 10741, 585, 6808, 563, 268, 476, 1556, 5239, 910, 634, 8549, 18058, 8189, 2152, 519, 1101, 12689, 547, 13739, 8613, 538, 7990, 267, 547, 595, 7034, 630, 681, 7563, 786, 6707, 15539, 543, 3625, 519, 12689, 689, 2921, 1198, 267, 2705, 1916, 268, 476, 1428, 5239, 634, 2034, 570, 659, 5448, 23902, 4900, 15167, 10741, 563, 268, 476, 1428, 5239, 910, 769, 5101, 5125, 267, 1209, 1235, 3094, 476, 4200, 269, 278, 260, 540, 519, 8917, 563, 268, 476, 736, 5239, 910, 5245, 10596, 519, 19797, 9549, 19837, 1828, 2920, 267, 2663, 13351, 1524, 676, 519, 4400, 7040, 563, 268, 476, 2918, 5239, 910, 590, 3563, 6307, 1855, 25564, 5956, 1200, 17493, 960, 538, 2836, 12827, 3279, 543, 3587, 1634, 607, 12624, 1855, 25564, 563, 268, 476, 2764, 5239, 910, 8776, 322, 5866, 590, 5902, 729, 8547, 563, 268, 476, 1789, 5239, 910, 634, 20289, 340, 5984, 772, 19828, 22812, 14179, 339, 568, 3323, 676, 17896, 681, 4618, 2817, 1235, 1996, 519, 2136, 2276, 563, 268, 476, 272, 5437, 910, 15352, 623, 3780, 2473, 2862, 22168, 519, 834, 21001, 2193, 540, 519, 6129, 257, 693, 519, 28912, 543, 11225, 513, 1007, 2915, 2742, 540, 4936, 30871, 281, 602, 2696, 10924, 6307, 781, 1560, 883, 24656, 1310, 1200, 2669, 563, 268, 476, 272, 5437, 910, 17896, 681, 4618, 3084, 1235, 717, 5142, 601, 1470, 8776, 637, 7637, 543, 30546, 7502, 1794, 334, 3801, 547, 18272, 3729, 2475, 5518, 16452, 590, 269, 32457, 267, 945, 568, 9363, 693, 519, 2349, 1515, 6441, 2465, 5600, 538, 6115, 267, 667, 5861, 269, 1282, 6519, 5600, 18203, 563, 268, 476, 275, 5437, 910, 2136, 8315, 7475, 519, 20320, 10072, 540, 8050, 563, 268, 476, 279, 5437, 910, 11114, 2782, 281, 2755, 538, 606, 674, 268, 3199, 267, 2136, 2276, 5794, 10414, 700, 339, 269, 21651, 808, 269, 9466, 18448, 338, 1079, 3345, 11114, 21007, 294, 268, 1428, 338, 2282, 519, 962, 2728, 5211, 543, 22534, 873, 1524, 538, 519, 1101, 15191, 3562, 18191, 564, 2915, 325, 697, 538, 1686, 563, 268, 476, 1015, 5437, 910, 589, 2475, 5794, 10414, 645, 268, 2004, 8111, 3228, 816, 17177, 828, 267, 7680, 606, 538, 1922, 2775, 6595, 267, 795, 9116, 2581, 539, 543, 1033, 517, 730, 513, 4460, 476, 275, 6046, 10514, 936, 20563, 267, 4516, 269, 634, 3926, 26218, 922, 726, 583, 28016, 4295, 563, 268, 476, 1556, 5437, 910, 634, 20917, 22389, 5980, 568, 8547, 538, 11968, 13353, 607, 519, 1101, 22985, 2000, 756, 3130, 3919, 563, 268, 476, 1724, 5437, 910, 29962, 24883, 5548, 326, 5964, 30634, 321, 7596, 568, 32043, 11474, 543, 23689, 538, 2961, 659, 553, 563, 268, 476, 1724, 5437, 910, 589, 4354, 339, 1170, 1234, 573, 674, 2391, 7896, 7077, 26301, 1247, 679, 709, 974, 547, 8303, 689, 7507, 11318, 782, 476, 7367, 593, 4604, 563, 268, 476, 1240, 5437, 910, 634, 2136, 8315, 24693, 519, 5250, 540, 8644, 12505, 3084, 14643, 454, 268, 476, 736, 5437, 910, 570, 269, 590, 269, 18379, 582, 14753, 1996, 8613, 538, 519, 5177, 563, 268, 476, 2420, 5437, 910, 14640, 5174, 761, 880, 27632, 1824, 538, 5527, 563, 268, 476, 2420, 5437, 910, 1744, 597, 2917, 13527, 3045, 25555, 1200, 16468, 689, 1397, 1870, 563, 268, 476, 1839, 5437, 910, 26263, 1580, 531, 5162, 7088, 30635, 1137, 519, 17368, 14665, 2136, 2276, 267, 6770, 476, 1789, 547, 476, 2004, 6279, 540, 6777, 267, 5210, 2630, 4642, 267, 543, 19754, 476, 26825, 1004, 563, 268, 476, 2918, 5437, 910, 11114, 2782, 281, 18858, 3591, 689, 519, 4658, 781, 6243, 540, 3624, 1847, 883, 3345, 9705, 543, 10131, 513, 7372, 4831, 3430, 871, 1996, 3162, 11114, 543, 1977, 4229, 693, 932, 28009, 267, 10678, 1022, 2219, 540, 513, 2656, 1439, 547, 519, 4655, 563, 268, 476, 2764, 5437, 910, 10255, 543, 31735, 807, 6963, 20320, 1894, 563, 268, 476, 3066, 5437, 910, 11114, 2782, 281, 3345, 11114, 543, 4457, 10136, 3196, 513, 18956, 540, 2136, 8315, 4229, 689, 3345, 9705, 563, 268, 476, 3066, 5437, 910, 2817, 7027, 540, 519, 932, 11699, 540, 2441, 538, 519, 7330, 8547, 563, 268, 476, 1789, 5437, 910, 19958, 5839, 6635, 11037, 27938, 547, 946, 6046, 9604, 538, 9705, 563, 268, 476, 274, 5412, 910, 24398, 18264, 3534, 11199, 14186, 538, 24558, 1176, 563, 268, 476, 1556, 5412, 268, 476, 1724, 5412, 910, 634, 12756, 670, 1068, 26710, 27632, 1824, 2049, 538, 14135, 267, 6028, 476, 1240, 4666, 543, 476, 15876, 13676, 563, 268, 476, 1321, 5412, 910, 14529, 3121, 25532, 9007, 3587, 519, 1101, 4807, 538, 519, 2136, 2276, 547, 4196, 513, 30798, 607, 513, 15887, 6798, 563, 268, 476, 1626, 5412, 910, 634, 8433, 540, 16470, 22994, 16478, 568, 3964, 538, 519, 2136, 2276, 563, 268, 476, 2190, 5412, 268, 476, 1839, 5412, 910, 13677, 3084, 1235, 1491, 519, 12942, 540, 2480, 821, 689, 31689, 30745, 563, 268, 476, 2764, 5412, 910, 634, 30078, 10588, 3587, 6628, 781 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 547, 581, 2808, 606, 19473, 626, 563, 288, 1492, 1143, 814, 3006, 1044, 3989, 547, 1331, 519, 2241, 9000, 540, 3661, 269, 901, 3376, 4214, 1131, 1331, 29507, 543, 824, 1004, 945, 723, 711, 1044, 6534, 547, 519, 2065, 2093, 282, 607, 2484, 1394, 607, 476, 10082, 273, 267, 31578, 546, 262, 29804, 22138, 1767, 269, 6723, 670, 269, 8055, 6700, 602, 281, 834, 763, 812, 267, 796, 659, 638, 20557, 609, 519, 1143, 568, 606, 19473, 626, 1317, 646, 1281, 711, 3494, 538, 513, 5601, 282, 713, 7121, 1131, 1331, 519, 1126, 609, 519, 12497, 4390, 547, 9787, 519, 2152, 3238, 267, 855, 267, 1869, 23387, 540, 1346, 2152, 269, 634, 1249, 602, 713, 1126, 1281, 711, 3494, 538, 5601, 4018, 5809, 1864, 607, 606, 19473, 626, 1701, 1955, 14032, 19473, 1143, 568, 834, 1492, 9000, 540, 519, 2065, 3661, 1510, 513, 6857, 18349, 540, 621, 257, 543, 8763, 19473, 1143, 568, 519, 6857, 18349, 540, 3661, 269, 1280, 519, 5301, 540, 1010, 1957, 593, 834, 874, 3342, 28441, 19473, 1143, 2580, 29527, 18491, 601, 29653, 1519, 6071, 9000, 540, 519, 2065, 3661, 607, 513, 1826, 540, 19473, 1143, 269, 24023, 11534, 344, 1362, 5809, 607, 21030, 757, 1346, 945, 2760, 2808, 519, 2243, 1317, 789, 3668, 1022, 1620, 540, 1018, 513, 5601, 568, 269, 4340, 547, 11534, 344, 267, 891, 1223, 581, 835, 18881, 6040, 9002, 267, 3425, 609, 4049, 15779, 2634, 7063, 267, 610, 2550, 609, 4359, 12110, 563, 4942, 3342, 14279, 971, 607, 4165, 3415, 18307, 342, 543, 7812, 9410, 723, 4334, 539, 2318, 630, 560, 454, 29272, 659, 558, 2125, 616, 1480, 13402, 1016, 614, 10328, 8574, 1811, 585, 3909, 2259, 269, 7102, 12068, 1031, 607, 513, 19746, 1747, 568, 513, 3032, 659, 4861, 267, 4352, 519, 2262, 568, 1034, 2404, 609, 519, 4936, 7276, 282, 519, 1101, 1747, 547, 581, 5219, 547, 607, 3032, 659, 558, 2125, 729, 519, 1062, 540, 11895, 9723, 2125, 1063, 519, 476, 273, 526, 543, 476, 274, 6113, 19325, 540, 519, 2561, 1014, 10158, 538, 7507, 267, 1141, 519, 4703, 540, 519, 19980, 956, 8834, 543, 6754, 267, 1851, 1866, 267, 941, 1767, 547, 723, 1044, 12617, 269, 634, 2012, 540, 602, 1747, 538, 17623, 5824, 729, 700, 269, 700, 269, 3185, 269, 9930, 269, 726, 269, 562, 269, 3032, 659, 3518, 553, 513, 2262, 540, 21372, 5169, 3541, 1516, 689, 513, 1697, 2012, 267, 610, 3116, 513, 13313, 540, 519, 5824, 8360, 524, 1092, 512, 3518, 553, 267, 834, 600, 784, 519, 9723, 2125, 2668, 634, 2262, 5219, 1152, 547, 519, 4936, 3032, 659, 558, 2125, 267, 855, 729, 6905, 676, 476, 8146, 277, 547, 3277, 547, 1022, 1016, 614, 10328, 7789, 12386, 540, 519, 4666, 267, 607, 538, 519, 476, 1240, 628, 10601, 8303, 3032, 659, 558, 2125, 269, 2353, 4936, 3032, 659, 558, 2125, 941, 4092, 3544, 2749, 6821, 2094, 621, 729, 10363, 547, 30565, 513, 4666, 1560, 1369, 519, 2749, 267, 3246, 834, 320, 1747, 2507, 3602, 12004, 344, 3464, 9723, 2125, 1223, 581, 6825, 257, 543, 16033, 894, 2533, 543, 905, 6814, 4371, 9108, 593, 10723, 2395, 563, 29272, 659, 558, 2125, 1472, 519, 1158, 1331, 281, 5245, 1107, 9697, 659, 558, 2125, 540, 27076, 5441, 267, 24332, 15212, 1107, 9697, 659, 558, 2125, 540, 853, 269, 15537, 781, 24130, 267, 21499, 16231, 6243, 1107, 9697, 659, 558, 2125, 540, 2098, 7224, 329, 15879, 18548, 11844, 543, 4173, 345, 1122, 990, 2088, 1107, 9697, 659, 558, 2125, 540, 808, 1690, 576, 5527, 1107, 9697, 659, 558, 2125, 540, 918, 558, 1714, 1744, 334, 336, 2378, 320, 538, 28641, 4789, 1107, 9697, 659, 558, 2125, 540, 5507, 543, 1866, 18940, 1107, 9697, 659, 558, 2125, 540, 519, 670, 1564, 1074, 328, 18179, 28200, 693, 670, 2884, 8643, 655, 328, 28200, 5333, 1107, 9697, 659, 558, 2125, 540, 8303, 269, 17719, 25029, 941, 1031, 693, 1439, 540, 519, 476, 1240, 628, 2540, 543, 1185, 1100, 3909, 3483, 824, 982, 607, 606, 522, 1087, 4231, 585, 13936, 519, 7633, 540, 23498, 1178, 3272, 1841, 269, 10255, 1107, 9697, 659, 558, 2125, 540, 631, 3342, 7977, 1107, 9697, 659, 558, 2125, 540, 7507, 269, 7167, 1276, 514, 3032, 659, 558, 2125, 540, 6022, 1069, 334, 267, 24558, 1176, 941, 1031, 607, 3735, 607, 519, 476, 4572, 271, 338, 269, 9697, 659, 558, 2125, 941, 2139, 538, 930, 540, 519, 1178, 837, 2296, 524, 655, 2678, 625, 8547, 538, 519, 476, 866, 628, 11416, 267, 971, 607, 2701, 742, 1752, 4937, 30895, 543, 4639, 7439, 6229, 30895, 269, 1703, 616, 3032, 659, 558, 2125, 538, 31697, 2282, 1325, 611, 345, 3873, 3933, 2120, 344, 543, 538, 27597, 607, 10120, 11895, 26847, 538, 29246, 11732, 269, 769, 12907, 543, 6576, 267, 3032, 659, 4861, 4016, 547, 519, 3060, 540, 14460, 23572, 543, 25310, 4505, 1031, 547, 9553, 6149, 14680, 563, 29272, 659, 558, 2125, 267, 4352, 1034, 8037, 607, 11895, 8574, 1811, 543, 524, 655, 2678, 625, 2777, 1082, 23598, 269, 1703, 616, 5215, 540, 23598, 538, 519, 5553, 6040, 3032, 659, 558, 2125, 540, 7507, 267, 3032, 659, 558, 2125, 540, 8303, 267, 824, 1634, 543, 7164, 3032, 659, 558, 2125, 267, 930, 540, 799, 1331, 1202, 18587, 267, 24112, 543, 824, 3688, 5116, 538, 519, 30401, 936, 519, 1296, 269, 4107, 540, 891, 23598, 941, 1031, 547, 2697, 543, 1397, 2463, 547, 519, 4666, 269, 5463, 32590, 538, 519, 3032, 659, 558, 2125, 540, 7507, 941, 21243, 609, 2592, 543, 1913, 608, 531, 1154, 2441, 610, 18995, 10207, 689, 519, 6196, 543, 1715, 4530, 14613, 540, 519, 6426, 269, 13518, 540, 519, 17001, 960, 543, 1148, 267, 824, 982, 1266, 9545, 902, 593, 519, 6821, 610, 9723, 2125, 267, 814, 1044, 12873, 538, 4025, 971, 607, 519, 7467, 540, 853, 269, 3627, 13536, 534, 267, 4168, 7467, 540, 12670, 2160, 267, 519, 28912, 269, 8422, 11269, 540, 2441, 607, 2107, 15343, 639, 23406, 2831, 609, 12560, 2575, 723, 1044, 1336, 538, 519, 3032, 659, 558, 2125, 540, 12358, 520, 8759, 543, 853, 269, 11910, 16695, 269, 6271, 4137, 729, 1500, 540, 575, 843, 539, 4837, 543, 7389, 1394, 547, 519, 8772, 2540, 267, 10023, 4906, 609, 519, 1158, 7059, 538, 1010, 1688, 543, 513, 20801, 693, 1010, 3952, 563, 7212, 5215, 540, 1202, 18587, 941, 4503, 607, 942, 5293, 267, 1082, 540, 1346, 6967, 5815, 519, 1514, 7584, 610, 2816, 2140, 540, 922, 11317, 269, 589, 1455, 543, 4277, 835, 1336, 538, 4936, 3032, 659, 558, 2125, 568, 519, 594, 577, 628, 903, 267, 610, 834, 12507, 6945, 540, 2441, 257, 799, 14509, 3852, 503, 394, 356, 394, 502, 394, 354, 394, 352, 267, 7555, 585, 834, 27716, 2441, 267, 12312, 540, 2696, 267, 14205, 1640, 2668, 769, 2487, 1296, 2189, 12490, 540, 4551, 723, 1044, 4362, 602, 8853, 538, 3032, 659, 558, 2125, 267, 1802, 1424, 7777, 2498, 331, 2803, 12412, 543, 9178, 282, 891, 1331, 918, 1026, 321, 7578, 18813, 673, 4289, 328, 267, 918, 1026, 321, 7578, 3032, 659, 3518, 2801, 267, 1614, 2010, 540, 1875, 268, 750, 332, 30858, 11676, 13681, 1461, 269, 30895, 15303, 744, 1087, 4231, 834, 763, 595, 2532, 540, 2549, 2632, 650, 5964, 257, 26789, 2749, 645, 569, 2023, 267, 2037, 573, 834, 26668, 979, 547, 3911, 10212, 2401, 781, 5440, 257, 32095, 1457, 543, 853, 893, 2023, 9768, 476, 7818, 268, 272, 268, 279, 4510, 6321, 268, 277, 4281, 268, 276, 27878, 17868, 333, 3331, 497, 2961, 4048, 5451, 514, 267, 8349, 700, 269, 3026, 3861, 632, 12098, 12534, 681, 5448, 21688, 1460, 281, 5250, 543, 18759, 540, 10120, 7507, 12891, 22017, 9768, 476, 7818, 268, 271, 268, 4037, 275, 277, 268, 2568, 280, 277, 268, 276, 533, 269, 476, 3451, 17880, 565, 5459, 267, 6754, 7338, 834, 763, 10723, 3662, 27394, 24227, 693, 3345, 15223, 336, 336, 4673, 281, 519, 1381, 338, 543, 741, 3032, 659, 558, 2125, 257, 769, 6428, 9874, 594, 330, 1090, 23942, 7068, 281, 3662, 544, 27186, 538, 9147, 5527, 269, 1977, 2160, 538, 595, 23879, 4964, 267, 476, 1220, 276, 6032, 269, 476, 4510, 1700, 10170, 563, 25835, 476, 7818, 268, 280, 6507, 268, 275, 2190, 268, 5952, 279, 268, 271, 634, 9697, 659, 558, 2125, 540, 12142, 1530, 30807, 1014, 634, 9697, 659, 558, 2125, 540, 10878, 1255, 634, 9697, 659, 558, 2125, 540, 8303, 9697, 659, 558, 2125, 634, 9697, 659, 558, 2125, 540, 12142, 11910, 626, 4427, 614, 10328, 27429, 634, 9697, 659, 558, 2125, 540, 7799, 320, 267, 18475, 454, 299, 12762, 5980, 540, 27257, 454, 763, 30803, 5980, 540, 27257, 729, 513, 12129, 8630, 543, 13016, 4121, 2486, 540, 7986, 5515, 538, 519, 11068, 4133, 21654, 267, 1519, 4853, 1235, 267, 2067, 15806, 543, 30921, 267, 945, 1558, 1063, 476, 12293, 276, 543, 476, 8687, 274, 538, 27257, 267, 4789, 269, 2311, 1101, 1572, 519, 30803, 17781, 267, 834, 299, 12762, 5980, 257, 2968, 519, 6101, 2012, 676, 476, 10082, 276, 282, 519, 2012, 21256, 1317, 519, 2486, 1131, 2743, 1282, 519, 2407, 7599, 267, 607, 519, 3063, 1769, 1500, 519, 3460, 1753, 4443, 543, 10930, 538, 519, 9000, 540, 8265, 8654, 269, 634, 2818, 17869, 2685, 5219, 547, 2933, 607, 513, 5309, 593, 561, 684, 18267, 269, 10469, 1132, 3769, 661, 6652, 16443, 16817, 781, 1753, 538, 700, 747, 7615, 267, 15623, 645, 9567, 2023, 781, 1753, 267, 1924, 14833, 5600, 267, 14332, 8822, 5600, 538, 667, 8538, 903, 10921, 267, 4279, 645, 1551, 8065, 282, 519, 30803, 5980, 7960, 998, 1585, 5232, 540, 13539, 936, 513, 1974, 540, 909, 547, 15823, 1296, 267, 855, 729, 1152, 606, 13016, 1895, 269, 3143, 11156, 267, 12326, 610, 15376, 8638, 7639, 689, 1022, 1974, 267, 2963, 540, 922, 6228, 543, 2238, 568, 1336, 1152, 538, 519, 19359, 543, 4967, 540, 1346, 2404, 609, 621, 563, 26944, 2103, 4061, 10990, 593, 1018, 4018, 5809, 607, 15376, 540, 519, 30803, 5980, 267, 945, 666, 581, 2808, 547, 723, 1044, 2818, 267, 950, 519, 2486, 666, 581, 1767, 547, 723, 11478, 269, 21280, 11672, 11205, 326, 6229, 267, 585, 1383, 267, 568, 4330, 676, 930, 6085, 2209, 607, 1373, 835, 540, 2947, 834, 1440, 4532, 7625, 2818, 257, 540, 519, 2486, 267, 1247, 1866, 2015, 602, 646, 834, 4754, 2254, 581, 6444, 607, 2407, 4759, 257, 693, 782, 269, 667, 919, 2016, 585, 519, 10661, 540, 519, 2486, 2039, 689, 834, 338, 2210, 830, 1354, 476, 12293, 271, 257, 547, 476, 10082, 276, 282, 930, 12206, 8044, 602, 621, 1185, 30403, 547, 2291, 676, 476, 9692, 272, 269, 6736, 713, 10462, 267, 27552, 2043, 723, 1044, 4857, 607, 2348, 2357, 604, 22239, 13984, 30803, 5980, 11401, 936, 513, 1279, 1974, 1282, 922, 1034, 11327, 21971, 281, 891, 616, 15623, 645, 9567, 2023, 267, 661, 6652, 16443, 16817, 267, 7338, 4303, 267, 9400, 10753, 767, 331, 22750, 10290, 267, 15656, 8895, 2023, 267, 12789, 269, 7917, 31217, 9652, 267, 6276, 3223, 597, 267, 9478, 623, 1845, 1479, 344, 267, 5261, 9540, 267, 22189, 853, 10280, 267, 6276, 654, 3430, 267, 21280, 11672, 11205, 326, 6229, 267, 3627, 6519, 327, 32231, 543, 5261, 654, 2416, 532, 269, 2755, 519, 2486, 781, 11401, 3177, 922, 2012, 543, 1514, 1445, 267, 789, 941, 796, 28695, 538, 922, 2238, 267, 2484, 811, 2534, 543, 2792, 3576, 1747, 3544, 519, 11401, 2933, 1107, 2818, 2199, 547, 27257, 941, 538, 3232, 3346, 267, 811, 11397, 3283, 538, 19359, 693, 2547, 12353, 563, 288, 811, 29101, 3989, 1895, 814, 4061, 1044, 4857, 936, 513, 9962, 10923, 1858, 543, 3476, 942, 1974, 267, 945, 13984, 11401, 543, 945, 5330, 539, 610, 1071, 268, 6016, 730, 609, 2789, 824, 2818, 593, 1895, 2238, 269, 1452, 1331, 9400, 17340, 9774, 267, 3627, 590, 1889, 26293, 267, 8361, 631, 1195, 525, 267, 3627, 631, 7865, 961, 267, 13100, 2678, 6682, 704, 267, 681, 269, 661, 269, 681, 553, 701, 267, 3627, 645, 2532, 969, 4068, 267, 7338, 16170, 323, 3996, 267, 3627, 19785, 3430, 267, 5261, 774, 1682, 517, 267, 7261, 22567, 12722, 267, 14639, 268, 4517, 28584, 5548, 1075, 267, 3627, 12070, 330, 8657, 267, 3627, 12891, 267, 15656, 2859, 267, 7917, 645, 720, 267, 6276, 5696, 785, 2917, 267, 25453, 26186, 603, 338, 267, 3627, 681, 4141, 321, 3089, 267, 7338, 623, 2075, 2526, 267, 9478, 4563, 267, 6276, 670, 583, 2023, 267, 18148, 15284, 267, 9478, 24434, 267, 5261, 670, 619, 322, 3559, 267, 12253, 3752, 6387, 267, 3627 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5507, 267, 476, 3445, 267, 6032, 269, 476, 11793, 1700, 5611, 267, 8222, 281, 1015, 269, 11820, 279, 29265, 560, 331, 269, 5197, 271, 269, 1822, 279, 454, 268, 8479, 267, 7338, 630, 5197, 273, 1070, 17880, 565, 5459, 267, 5261, 630, 539, 13776, 834, 11073, 6050, 540, 31401, 543, 769, 24751, 18245, 14675, 543, 8752, 2580, 4750, 540, 7849, 13898, 267, 11061, 543, 519, 8551, 267, 5507, 267, 476, 276, 267, 6032, 269, 476, 7761, 268, 4281, 267, 476, 10037, 268, 11011, 267, 476, 13199, 268, 9873, 267, 476, 15757, 454, 268, 8479, 267, 7338, 630, 5197, 278, 1070, 589, 6092, 540, 700, 624, 999, 593, 7849, 13898, 543, 519, 20996, 8551, 267, 476, 273, 267, 5507, 281, 9478, 9652, 0, 289, 2794, 630, 4252, 264, 3297, 519, 1274, 538, 513, 1126, 281, 1018, 621, 568, 267, 918, 558, 528, 22603, 267, 8666, 454, 1432, 568, 519, 26686, 3297, 519, 1274, 538, 513, 1126, 888, 763, 1126, 779, 1072, 543, 8171, 568, 1034, 1271, 547, 15962, 3237, 267, 865, 789, 609, 6909, 1990, 7002, 547, 2149, 741, 1126, 689, 1585, 22074, 269, 1809, 267, 19890, 267, 711, 782, 741, 1655, 563, 15919, 1453, 540, 1114, 6502, 2408, 13021, 936, 519, 10772, 267, 799, 568, 513, 1483, 6161, 585, 31908, 543, 546, 6758, 3843, 5612, 547, 798, 4376, 269, 8921, 267, 1265, 856, 519, 1739, 2798, 281, 26686, 3297, 519, 1274, 538, 513, 1126, 281, 602, 779, 1946, 568, 4646, 543, 2436, 547, 5855, 563, 1692, 1281, 513, 26686, 3297, 1274, 538, 1126, 454, 763, 13021, 3297, 519, 1274, 610, 513, 26686, 1107, 2356, 782, 2069, 267, 799, 568, 5631, 1813, 547, 519, 2799, 2450, 540, 519, 9726, 6843, 538, 519, 8405, 269, 589, 2147, 7613, 4386, 607, 513, 1267, 540, 6553, 267, 945, 1185, 2907, 3262, 538, 519, 1560, 543, 2253, 547, 4323, 519, 1034, 7925, 1949, 563, 2026, 513, 4341, 267, 7902, 519, 26686, 568, 711, 11213, 543, 568, 711, 5906, 585, 519, 4816, 779, 1072, 269, 6270, 513, 3440, 3297, 519, 1274, 1058, 581, 5394, 267, 1940, 762, 267, 543, 1282, 27621, 566, 1058, 5693, 581, 5433, 563, 30131, 256, 1403, 519, 2069, 14543, 543, 1281, 711, 6175, 519, 1126, 585, 1896, 2395, 267, 596, 1058, 6157, 3643, 513, 4387, 563, 4913, 267, 972, 616, 513, 1297, 540, 824, 2188, 28596, 519, 11944, 540, 971, 513, 13021, 3297, 519, 1274, 267, 543, 538, 1142, 3510, 519, 2589, 616, 1360, 1114, 269, 7201, 1022, 6381, 267, 3237, 1058, 5402, 6895, 519, 10510, 563, 3383, 267, 693, 606, 2038, 3942, 513, 26686, 949, 711, 4159, 1022, 4191, 543, 798, 711, 11145, 269, 1717, 267, 930, 4191, 1256, 538, 1875, 3620, 1794, 731, 748, 1106, 1869, 2291, 269, 1452, 1331, 912, 268, 519, 3308, 5920, 540, 519, 27894, 3248, 268, 513, 2312, 4214, 540, 6302, 3248, 268, 1928, 950, 20109, 267, 4767, 3248, 268, 519, 3668, 540, 9636, 563, 1103, 930, 2665, 267, 519, 1184, 4203, 2231, 513, 2942, 2095, 267, 799, 666, 1376, 535, 6856, 532, 269, 898, 568, 7074, 519, 1569, 542, 540, 971, 2589, 912, 268, 4414, 1145, 1332, 2195, 563, 268, 634, 1646, 540, 30046, 563, 268, 634, 27894, 2333, 538, 2450, 563, 268, 590, 648, 547, 5905, 563, 268, 8738, 940, 543, 21422, 538, 519, 1612, 582, 573, 3148, 563, 268, 634, 13250, 540, 5714, 538, 519, 13021, 563, 268, 634, 2799, 1560, 2837, 563, 16920, 1549, 256, 1403, 942, 1281, 711, 2569, 519, 1126, 547, 519, 4387, 267, 519, 13021, 666, 581, 9168, 609, 713, 1689, 543, 922, 18913, 2589, 616, 281, 2069, 3587, 4396, 543, 7106, 8986, 922, 10688, 563, 27246, 540, 26686, 3297, 1274, 454, 2252, 3297, 1274, 1126, 779, 2069, 568, 1507, 267, 1287, 713, 949, 5815, 519, 1646, 540, 1585, 3676, 269, 3509, 540, 873, 616, 711, 20027, 585, 519, 4816, 563, 29995, 1018, 5654, 899, 513, 13021, 543, 1018, 2450, 630, 874, 9369, 540, 561, 7927, 3297, 519, 1274, 540, 1585, 1696, 5735, 4843, 538, 713, 2376, 2630, 264, 5673, 593, 519, 3815, 602, 3361, 922, 23314, 563, 3383, 267, 1985, 786, 24559, 609, 519, 3119, 2959, 543, 19183, 540, 27894, 593, 519, 2212, 3297, 519, 1274, 538, 513, 1126, 563, 2252, 972, 568, 513, 26686, 2282, 519, 1274, 267, 519, 1101, 3364, 596, 1058, 2015, 568, 519, 6553, 540, 519, 9726, 9136, 267, 799, 568, 519, 4617, 2287, 540, 519, 8825, 3252, 540, 519, 11248, 563, 2005, 666, 2049, 693, 1022, 12119, 942, 540, 519, 1032, 267, 543, 5469, 5612, 621, 568, 711, 2141, 2009, 563, 763, 4816, 29424, 3297, 519, 1274, 568, 3622, 711, 7298, 267, 607, 27621, 762, 9726, 9136, 3983, 563, 5226, 924, 1419, 267, 713, 6553, 568, 3361, 676, 11763, 3676, 563, 1103, 971, 513, 3510, 267, 707, 1126, 949, 29153, 540, 1928, 2282, 519, 1274, 267, 855, 3006, 972, 616, 2665, 540, 12136, 540, 1928, 1652, 6553, 563, 1103, 713, 11763, 2068, 540, 28332, 1612, 582, 573, 14189, 267, 799, 14122, 519, 5920, 540, 561, 7927, 896, 519, 1274, 593, 519, 8405, 563, 23322, 2065, 11926, 5526, 593, 519, 3783, 984, 525, 267, 1750, 4060, 267, 8405, 267, 543, 519, 3461, 1126, 786, 29153, 540, 1928, 950, 24948, 543, 949, 1256, 20549, 1426, 563, 2252, 596, 14353, 519, 1646, 540, 713, 2068, 1058, 5612, 5077, 513, 4387, 563, 20055, 269, 3474, 582, 4345, 610, 544, 7927, 568, 513, 5906, 2068, 1317, 16607, 5275, 2564, 1416, 610, 23304, 731, 519, 7840, 540, 519, 4387, 267, 1419, 1020, 1272, 18446, 1072, 8374, 563, 763, 12982, 1184, 538, 519, 1274, 454, 2252, 972, 568, 519, 5920, 540, 2069, 593, 1152, 835, 2427, 267, 621, 568, 513, 1129, 540, 6553, 540, 519, 1647, 1274, 610, 27150, 563, 5475, 7092, 17333, 4345, 2923, 9726, 9136, 2810, 538, 2450, 267, 543, 1287, 2864, 3533, 11081, 563, 1103, 519, 2027, 2126, 540, 519, 25862, 538, 713, 2013, 972, 568, 1100, 991, 267, 855, 4274, 5796, 1281, 711, 10413, 563, 1607, 568, 2556, 538, 1931, 547, 1118, 2386, 602, 3388, 568, 538, 1931, 267, 6382, 2443, 513, 4960, 942, 547, 1376, 8156, 519, 2068, 563, 5353, 321, 17675, 28144, 543, 9067, 5448, 454, 22746, 3676, 616, 6353, 676, 519, 11944, 540, 513, 4396, 26686, 267, 799, 568, 2356, 4092, 896, 519, 2960, 593, 519, 5642, 563, 288, 1492, 668, 320, 1107, 513, 22480, 10510, 538, 519, 2960, 610, 519, 4552, 3597, 267, 568, 4904, 609, 5728, 687, 269, 4438, 3339, 5106, 267, 519, 694, 321, 636, 608, 920, 1540, 998, 519, 28954, 547, 519, 3544, 563, 2252, 513, 8756, 568, 24571, 3022, 267, 519, 5714, 267, 543, 519, 23555, 2450, 4679, 269, 2991, 3346, 609, 23633, 8069, 267, 519, 5250, 540, 1625, 12040, 13999, 269, 7066, 730, 713, 7613, 609, 519, 948, 540, 6391, 563, 299, 760, 5448, 630, 310, 523, 264, 568, 513, 22480, 10510, 16109, 689, 519, 28539, 846, 5160, 269, 1879, 596, 2046, 621, 972, 568, 3350, 896, 519, 2960, 269, 634, 8594, 585, 519, 1126, 568, 711, 267, 2705, 267, 952, 972, 568, 606, 2333, 538, 2450, 267, 972, 568, 9636, 267, 621, 568, 6569, 563, 293, 626, 3121, 540, 519, 1274, 454, 288, 31329, 3121, 568, 513, 7522, 8756, 602, 8255, 689, 519, 20162, 2282, 519, 1274, 547, 519, 8405, 269, 11202, 1108, 568, 28955, 538, 14685, 334, 607, 513, 1267, 540, 19374, 540, 19341, 1646, 563, 2005, 568, 7298, 5612, 1310, 4332, 267, 543, 9428, 7444, 1510, 4929, 9636, 563, 2252, 972, 568, 6553, 540, 519, 18980, 267, 519, 1274, 814, 4646, 513, 1804, 26686, 540, 2699, 563, 21675, 538, 713, 3510, 568, 5645, 856, 676, 11216, 267, 547, 2569, 6553, 267, 1310, 799, 519, 31329, 3121, 568, 6569, 4907, 1227, 563, 763, 1646, 540, 30219, 666, 9594, 519, 12136, 540, 13021, 1472, 519, 1274, 267, 799, 666, 1831, 28332, 543, 1139, 23847, 563, 290, 22438, 1419, 10953, 607, 513, 1267, 540, 17244, 538, 19341, 1646, 563, 1103, 602, 3510, 267, 952, 519, 10510, 729, 10053, 543, 1799, 9394, 267, 713, 1797, 519, 5920, 538, 621, 540, 24561, 2281, 267, 602, 568, 4957, 3601, 21248, 21131, 540, 519, 694, 321, 17675, 15374, 563, 4415, 1434, 8825, 2934, 540, 519, 4816, 713, 29424, 593, 5642, 1310, 1139, 4851, 786, 7866, 2933, 563, 7804, 269, 918, 558, 541, 990, 20391, 827, 26686, 3297, 1274, 538, 1126, 454, 763, 6644, 540, 12021, 12963, 1014, 661, 269, 744, 269, 918, 558, 541, 990, 20391, 827, 519, 5920, 540, 519, 13021, 519, 1126, 779, 1274, 568, 3833, 2189, 269, 1924, 267, 538, 1010, 1913, 267, 971, 513, 7613, 538, 1453, 1034, 1419, 4386, 1813, 547, 519, 6553, 540, 9726, 9136, 563, 299, 8233, 9136, 616, 2808, 519, 22651, 540, 519, 4761, 1062, 543, 4043, 547, 2333, 2282, 519, 2707, 540, 3968, 269, 6833, 12288, 538, 621, 4376, 568, 711, 563, 1607, 7613, 949, 2049, 3833, 1419, 267, 2094, 1453, 616, 11630, 547, 1585, 10194, 543, 11763, 3676, 1317, 540, 562, 525, 845, 10098, 341, 2335, 739, 540, 519, 4761, 1062, 563, 20055, 269, 634, 1126, 1590, 581, 2938, 676, 513, 11285, 952, 519, 23762, 9726, 6843, 585, 476, 276, 2395, 563, 11764, 3405, 1944, 267, 649, 666, 2161, 602, 519, 5920, 540, 27894, 3297, 519, 1274, 538, 513, 1126, 949, 28596, 513, 3099, 540, 2188, 267, 519, 1292, 540, 799, 568, 6553, 540, 519, 9726, 9136, 269, 14268, 1058, 5402, 7747, 519, 5250, 543, 519, 5920, 540, 1928, 547, 979, 547, 519, 4387, 563, 27775, 754, 543, 1344, 593, 875, 547, 4894, 519, 3440, 538, 519, 3783, 12786, 269, 0, 273, 269, 10783, 514, 779, 4446, 10309, 281, 634, 10783, 514, 779, 4446, 10309, 568, 1500, 540, 513, 4837, 8546, 5176, 835, 25451, 1279, 543, 1930, 2560, 7102, 1843, 786, 2746, 547, 1312, 519, 12768, 21063, 543, 519, 32689, 1604, 281, 621, 786, 5385, 3002, 609, 519, 2011, 676, 28681, 543, 609, 519, 4478, 7252, 676, 5982, 2529, 334, 519, 3803, 2837, 540, 519, 1843, 568, 519, 2837, 693, 799, 519, 2698, 3002, 5385, 568, 4642, 269, 634, 6728, 781, 3611, 11530, 3455, 1939, 525, 4830, 476, 276, 18826, 25939, 1210, 1079, 29364, 13220, 689, 1142, 26282, 269, 1261, 11827, 519, 25229, 21747, 1216, 26282, 538, 476, 14689, 274, 269, 26457, 29090, 269, 634, 1034, 1455, 3926, 568, 513, 918, 7392, 5687, 665, 537, 921, 267, 713, 568, 1018, 5254, 3198, 300, 17248, 3096, 585, 782, 2011, 2837, 7403, 538, 938, 2978, 543, 538, 519, 2361, 269, 910, 14066, 2910, 273, 7893, 2039, 909, 547, 476, 15886, 280, 28327, 910, 29853, 1769, 1599, 585, 3327, 8166, 4578, 4015, 267, 8308, 543, 10502, 7893, 2011, 6991, 2066, 28954, 267, 814, 1044, 513, 2352, 4305, 269, 634, 1344, 10356, 689, 713, 6293, 6087, 5137, 540, 8143, 12632, 540, 9023, 1216, 17752, 2837, 543, 568, 849, 1031, 547, 6895, 2011, 630, 663, 824, 1875, 268, 1718, 839, 762, 3154, 264, 11006, 269, 634, 16038, 630, 514, 1181, 1049, 264, 1770, 540, 2837, 568, 5232, 17622, 267, 855, 538, 519, 772, 2529, 269, 649, 2594, 5210, 538, 5232, 18278, 269, 634, 2011, 2298, 11281, 2982, 3327, 8166, 9830, 909, 547, 476, 15886, 280, 28327, 267, 5210, 689, 910, 1015, 2507, 476, 2004, 11019, 290, 267, 543, 3448, 11195, 2418, 689, 476, 736, 2507, 476, 4817, 10065, 18323, 6482, 568, 1271, 547, 513, 2647, 2039, 540, 2238, 267, 1519, 5663, 267, 3621, 1382, 267, 543, 2564, 2259, 269, 7994, 513, 4837, 26282, 602, 3085, 1406, 2270, 16035, 269, 11289, 596, 585, 4434, 585, 707, 5796, 1547, 14175, 6420, 281, 14175, 6420, 1519, 824, 3029, 540, 13247, 630, 338, 852, 267, 11739, 564, 543, 30339, 264, 568, 2141, 6027, 676, 2560, 1879, 1210, 519, 5687, 665, 537, 921, 267, 1747, 519, 9133, 540, 519, 16785, 2047, 883, 519, 3905, 2011, 6908, 630, 2181, 2536, 2406, 538, 513, 1259, 602, 2636, 2560, 795, 25184, 2801, 329, 322, 1315, 5192, 1399, 16103, 269, 4107, 5687, 18852, 616, 6806, 4837, 13740, 5627, 15559, 971, 607, 4568, 610, 16035, 269, 4329, 9023, 786, 7873, 1619, 519, 1216, 32350, 883, 12269, 610, 4764, 269, 1665, 803, 607, 2634, 4289, 5225, 1547, 769, 3257, 865, 267, 646, 11827, 519, 1158, 781, 1101, 18642, 26282, 269, 476, 275, 269, 273, 856, 540, 476, 276, 6801, 476, 4510, 269, 634, 18342, 2837, 7893, 6293, 8850, 10525, 519, 2837, 3017, 269, 634, 2011, 2837, 568, 1767, 547, 581, 693, 632, 342, 15304, 269, 589, 645, 2752, 6865, 4953, 2207, 3800, 2011, 2604 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2877, 547, 1174, 519, 30367, 540, 6803, 2895, 1516, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 476, 6187, 270, 1626, 270, 1708, 271, 267, 543, 3592, 10876, 3116, 538, 519, 1158, 621, 781, 476, 1626, 270, 6187, 270, 1708, 271, 780, 2162, 1548, 952, 596, 1152, 18886, 3018, 17058, 2496, 1103, 930, 2665, 267, 596, 1522, 1616, 547, 18178, 32300, 543, 1293, 1152, 519, 3018, 17058, 269, 901, 1223, 581, 3730, 952, 596, 917, 596, 723, 513, 21120, 1759, 593, 513, 1978, 1297, 540, 1870, 2395, 269, 1403, 596, 616, 3843, 547, 1294, 1018, 1554, 8813, 593, 519, 3169, 4266, 3017, 540, 476, 11740, 3018, 17058, 1354, 9947, 476, 1556, 267, 476, 1708, 272, 267, 596, 666, 1293, 909, 1142, 1554, 1236, 6235, 590, 4405, 17058, 543, 9530, 904, 780, 9359, 707, 9819, 609, 9947, 476, 1556, 267, 476, 1708, 272, 267, 799, 8813, 593, 513, 11016, 269, 25478, 4464, 267, 519, 1985, 1554, 1131, 581, 513, 11728, 780, 2414, 1205, 4010, 1614, 4627, 24239, 3018, 17058, 1354, 9947, 476, 1556, 267, 476, 1708, 272, 267, 596, 2965, 991, 547, 1293, 476, 27843, 2698, 2395, 630, 10175, 15964, 2395, 1040, 2334, 1797, 602, 476, 11740, 3018, 17058, 1354, 9947, 476, 1556, 267, 476, 1708, 272, 1131, 581, 5130, 476, 2190, 267, 476, 1708, 271, 780, 2252, 596, 2811, 10203, 1870, 2395, 267, 1810, 1405, 7340, 547, 4188, 713, 4266, 585, 1022, 14812, 780, 20464, 476, 1708, 271, 454, 1892, 10732, 454, 1892, 11728, 454, 1892, 13638, 454, 1892, 13723, 454, 1892, 13628, 454, 1892, 11016, 454, 1892, 14349, 454, 272, 269, 476, 272, 454, 273, 269, 476, 273, 454, 274, 269, 476, 274, 454, 275, 269, 476, 275, 454, 272, 269, 476, 276, 454, 273, 269, 476, 277, 454, 274, 269, 476, 278, 454, 275, 269, 476, 279, 454, 276, 269, 476, 280, 454, 277, 269, 476, 1015, 454, 278, 269, 476, 1556, 454, 272, 269, 476, 1321, 454, 273, 269, 476, 1724, 454, 274, 269, 476, 1691, 454, 275, 269, 476, 1428, 454, 276, 269, 476, 1626, 454, 277, 269, 476, 1704, 454, 278, 269, 476, 1240, 454, 272, 269, 476, 866, 454, 273, 269, 476, 736, 454, 274, 269, 476, 2641, 454, 275, 269, 476, 2420, 454, 276, 269, 476, 2537, 454, 277, 269, 476, 2190, 454, 278, 269, 476, 1839, 454, 272, 269, 476, 2918, 454, 273, 269, 476, 2767, 454, 274, 269, 476, 2764, 454, 275, 269, 476, 3066, 454, 276, 269, 476, 1789, 454, 277, 269, 476, 4029, 692, 20464, 476, 2190, 267, 476, 1708, 271, 568, 513, 11016, 269, 898, 568, 519, 476, 2190, 628, 1554, 540, 519, 1032, 267, 543, 538, 519, 476, 2190, 628, 3018, 540, 519, 1032, 630, 817, 11167, 1142, 3018, 6238, 593, 513, 10732, 1070, 610, 519, 476, 272, 560, 10116, 540, 519, 1032, 269, 1703, 616, 476, 4029, 2395, 538, 713, 3923, 269, 476, 1708, 271, 568, 513, 20014, 1032, 267, 865, 972, 616, 476, 3607, 277, 2395, 538, 713, 1032, 269, 634, 2110, 1106, 585, 713, 4266, 1031, 538, 519, 2136, 2276, 568, 476, 4905, 270, 2190, 270, 1708, 271, 267, 543, 3592, 10876, 3116, 538, 519, 1158, 621, 781, 476, 2190, 270, 4905, 270, 1708, 271, 780, 2162, 9373, 519, 1297, 540, 2395, 543, 519, 3169, 4266, 692, 13911, 538, 519, 1297, 540, 2395, 543, 519, 3169, 4266, 547, 5173, 689, 269, 1403, 596, 1616, 547, 1265, 513, 3105, 4266, 267, 596, 666, 4283, 513, 2942, 1297, 547, 4137, 856, 519, 1297, 540, 2395, 1354, 519, 9138, 4266, 269, 0, 258, 27387, 281, 4427, 7116, 2737, 6383, 676, 589, 692, 272, 269, 12361, 4427, 7116, 2737, 6383, 676, 589, 692, 4002, 2985, 476, 31620, 667, 636, 2466, 543, 674, 334, 1774, 1118, 519, 1739, 3948, 1384, 24679, 568, 2653, 547, 1294, 1210, 519, 4427, 7116, 2737, 262, 7600, 19118, 602, 585, 1022, 15410, 589, 540, 631, 267, 17241, 568, 8197, 513, 1016, 7116, 2544, 540, 631, 543, 568, 519, 10545, 1016, 7116, 2544, 540, 631, 799, 3568, 589, 3267, 834, 692, 27562, 568, 513, 8258, 609, 476, 272, 267, 631, 568, 513, 2451, 9074, 936, 681, 267, 589, 568, 513, 15410, 540, 631, 2020, 4692, 4896, 18005, 543, 12799, 6961, 713, 3948, 2496, 30681, 692, 273, 269, 12361, 1234, 281, 4427, 7116, 2737, 6383, 676, 589, 692, 23192, 17397, 676, 12672, 14551, 454, 4002, 2985, 476, 31620, 667, 636, 2466, 543, 674, 334, 1774, 1118, 519, 1739, 3948, 1384, 24679, 568, 2653, 547, 1294, 1210, 519, 4427, 7116, 2737, 262, 7600, 19118, 602, 585, 1022, 15410, 589, 540, 631, 267, 17241, 568, 8197, 513, 1016, 7116, 2544, 540, 631, 543, 568, 519, 10545, 1016, 7116, 2544, 540, 631, 799, 3568, 589, 3267, 834, 692, 27562, 568, 513, 8258, 609, 476, 272, 267, 631, 568, 513, 2451, 9074, 936, 681, 267, 589, 568, 513, 15410, 540, 631, 2020, 4692, 4896, 18005, 543, 12799, 6961, 713, 3948, 2496, 30681, 692, 9617, 10452, 593, 1250, 1378, 2243, 910, 621, 568, 2653, 547, 1397, 602, 17241, 568, 513, 1016, 7116, 2544, 540, 631, 267, 855, 1018, 729, 20468, 803, 729, 519, 6101, 6169, 602, 17241, 568, 519, 10545, 1016, 7116, 2544, 540, 631, 602, 3568, 589, 780, 4913, 1739, 519, 3948, 1384, 24679, 568, 2653, 547, 1294, 1210, 519, 4427, 7116, 2737, 262, 7600, 19118, 602, 585, 1022, 15410, 589, 540, 631, 267, 17241, 568, 8197, 513, 1016, 7116, 2544, 540, 631, 543, 568, 519, 10545, 1016, 7116, 2544, 540, 631, 799, 3568, 589, 3267, 834, 667, 636, 2466, 543, 674, 334, 1774, 2328, 1384, 257, 328, 4318, 269, 1022, 1016, 7116, 2544, 540, 631, 799, 3568, 589, 849, 3568, 17241, 5016, 314, 296, 1869, 1265, 621, 829, 14658, 532, 602, 713, 2965, 2982, 602, 17241, 568, 519, 10545, 1016, 7116, 2544, 540, 631, 799, 3568, 589, 855, 19037, 3267, 713, 568, 267, 594, 1589, 267, 711, 2182, 547, 6961, 3267, 10926, 3383, 547, 1397, 602, 1022, 1016, 7116, 2544, 540, 631, 799, 3568, 589, 849, 3568, 17241, 692, 4131, 715, 581, 513, 1016, 7116, 2544, 540, 631, 971, 602, 1269, 288, 1422, 11357, 3553, 18091, 715, 6911, 2171, 991, 547, 1397, 602, 1269, 6938, 1422, 11357, 3553, 18091, 715, 6911, 4131, 1269, 343, 1422, 514, 17241, 6911, 3086, 1269, 6938, 815, 1422, 346, 678, 318, 272, 320, 318, 272, 1341, 678, 318, 273, 320, 318, 273, 1341, 3267, 3267, 1341, 678, 318, 2742, 8548, 1422, 1923, 1422, 678, 318, 272, 267, 678, 318, 273, 267, 3267, 3267, 2073, 678, 8548, 1422, 514, 681, 267, 1422, 513, 318, 272, 267, 513, 318, 273, 267, 3267, 3267, 2073, 513, 8548, 1422, 514, 589, 267, 544, 1422, 514, 1422, 13992, 346, 313, 8703, 266, 10592, 3383, 1269, 343, 815, 678, 318, 272, 320, 318, 272, 1341, 678, 318, 273, 320, 318, 273, 1341, 3267, 3267, 1341, 678, 318, 2742, 8548, 259, 585, 1269, 337, 318, 272, 267, 678, 318, 273, 267, 3267, 3267, 2073, 678, 8548, 1422, 514, 681, 267, 1422, 513, 318, 272, 267, 513, 318, 273, 267, 3267, 3267, 2073, 513, 8548, 1422, 514, 589, 6911, 2252, 1269, 288, 1422, 11357, 3553, 18091, 715, 259, 1287, 1269, 337, 318, 807, 10983, 1422, 514, 715, 259, 585, 1269, 272, 1422, 548, 1775, 1422, 548, 562, 259, 2094, 715, 568, 513, 1016, 7116, 2544, 692, 663, 1287, 519, 1840, 540, 891, 2609, 267, 11617, 267, 1269, 337, 318, 272, 320, 318, 272, 1341, 678, 318, 273, 320, 318, 273, 1341, 3267, 3267, 1341, 678, 318, 2742, 8548, 259, 849, 568, 538, 715, 630, 604, 1079, 2609, 4866, 547, 513, 1016, 7116, 2544, 1287, 865, 1281, 519, 3693, 602, 568, 4646, 676, 741, 1840, 2020, 3383, 1269, 343, 1422, 514, 715, 6911, 13295, 1269, 343, 1422, 514, 17241, 1422, 16524, 21375, 1535, 1422, 514, 715, 6911, 3383, 1269, 288, 1422, 11357, 3553, 18091, 715, 1422, 16524, 21375, 17241, 1422, 11357, 3553, 18091, 715, 259, 3267, 3267, 630, 272, 2020, 4913, 267, 594, 993, 1869, 711, 4625, 2386, 875, 547, 18005, 1397, 602, 17241, 568, 519, 10545, 1016, 7116, 2544, 540, 631, 602, 3568, 589, 1775, 4318, 269, 875, 1281, 519, 29943, 630, 272, 264, 6542, 713, 910, 666, 2576, 948, 676, 6029, 713, 12799, 543, 18005, 2496, 30681, 0, 7785, 271, 2854, 607, 513, 2898, 1297, 16611, 676, 513, 1379, 540, 476, 1015, 692, 9223, 692, 7785, 271, 2854, 607, 513, 2898, 1297, 16611, 676, 513, 1379, 540, 476, 1015, 692, 271, 692, 272, 269, 634, 4341, 1644, 547, 713, 1966, 568, 950, 621, 2829, 476, 6200, 610, 476, 9083, 2073, 602, 1797, 519, 2179, 540, 4642, 525, 3297, 519, 2016, 1297, 16317, 2690, 1383, 476, 9818, 1131, 581, 476, 1911, 271, 1317, 476, 1015, 1535, 476, 1015, 1535, 476, 1015, 815, 476, 1911, 271, 692, 3383, 267, 538, 713, 1880, 1966, 519, 2626, 1131, 581, 1297, 476, 274, 1317, 476, 9818, 815, 476, 1911, 271, 865, 1287, 596, 723, 476, 277, 6398, 476, 1911, 271, 799, 1287, 815, 476, 7785, 271, 692, 14187, 9939, 256, 9462, 502, 478, 692, 273, 269, 922, 476, 7785, 876, 2560, 8796, 2507, 780, 282, 271, 2433, 271, 281, 264, 0, 28421, 1724, 2598, 4740, 5940, 1299, 16448, 532, 692, 258, 700, 4488, 1724, 2598, 4740, 5940, 1299, 16448, 532, 910, 2422, 519, 4521, 540, 13718, 1607, 12744, 2982, 3817, 476, 272, 1700, 275, 269, 6178, 909, 547, 2070, 519, 2407, 1543, 780, 8196, 519, 4521, 540, 11192, 17438, 547, 16534, 10819, 589, 2754, 9753, 10833, 540, 476, 1015, 2577, 1441, 2694, 689, 1079, 14273, 269, 4675, 17067, 476, 272, 7727, 476, 3583, 2600, 543, 814, 26843, 2557, 1547, 6734, 269, 4675, 17067, 476, 273, 7727, 476, 1789, 2600, 543, 814, 26843, 2557, 1547, 4962, 269, 4855, 519, 5506, 540, 476, 271, 8919, 1161, 538, 513, 4216, 269, 4855, 519, 5506, 540, 476, 272, 26843, 538, 513, 4216, 4855, 519, 4397, 1297, 540, 8919, 1161, 538, 513, 4216, 692, 1607, 12744, 814, 17543, 23324, 6810, 269, 6178, 909, 547, 2070, 519, 2407, 4528, 780, 8698, 9509, 11657, 454, 337, 18192, 269, 590, 815, 18261, 281, 623, 22829, 284, 272, 264, 815, 1547, 278, 623, 22829, 284, 273, 264, 815, 1547, 274, 678, 18192, 269, 2473, 815, 1297, 540, 8919, 1161, 538, 4216, 540, 476, 1015, 2016, 590, 284, 272, 267, 623, 11583, 284, 271, 264, 815, 476, 1015, 476, 271, 476, 6734, 476, 9032, 476, 278, 4391, 476, 271, 476, 1015, 815, 1547, 1547, 1547, 2016, 590, 284, 273, 267, 623, 11583, 284, 271, 264, 815, 476, 1015, 476, 271, 476, 4962, 476, 4817, 476, 276, 4200, 476, 271, 476, 1015, 815, 1547, 1547, 1547, 630, 476, 3066, 630, 476, 3066, 623, 2473, 623, 2473, 590, 623, 590, 623, 2473, 590, 623, 590, 630, 3738, 630, 1315, 3738, 630, 3738, 630, 1315, 3738, 630, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 815, 815, 815, 815, 815, 1341, 815, 815, 815, 815, 1341, 815, 476, 271, 476, 271, 476, 272, 476, 272, 476, 271, 476, 273, 476, 273, 476, 1015, 476, 271, 476, 6734, 476, 9032, 476, 278, 476, 1015, 476, 271, 476, 4962, 476, 4817, 476, 274, 476, 7597, 277, 476, 271, 476, 1015, 476, 271, 476, 1015, 630, 476, 3066, 630, 476, 3066, 623, 2473, 623, 2473, 590, 623, 590, 623, 2473, 590, 623, 590, 630, 3738, 630, 1315, 3738, 630, 3738, 630, 1315, 3738, 630, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 815, 815, 815, 815, 815, 1341, 815, 815, 815, 815, 1341, 815, 476, 272, 476, 272, 476, 272, 476, 272, 476, 272, 476, 273, 476, 273, 476, 1015, 476, 272, 476, 6734, 476, 9032, 476, 278, 476, 1015, 476, 272, 476, 4962, 476, 4817, 476, 274, 476, 14838, 476, 272, 476, 280, 476, 272, 476, 280, 476, 273, 454, 1805, 768, 28100, 634, 1297, 540, 15420, 602, 2049, 538, 513, 4557, 1032, 1974, 814, 519, 7313, 24480, 3892, 609, 1611, 476, 271, 269, 275, 269, 1403, 513, 7088, 1281, 2049, 267, 519, 5506, 540, 8115, 3441, 568, 476, 271, 269, 4962, 269, 4855, 519, 5506, 1100, 8115, 3441, 692, 1607, 12744, 814, 17543, 23324, 6810, 269, 6178, 909, 547, 2070, 519, 2407, 4528, 780, 8698, 9509, 11657, 454, 1607, 568, 519, 1439, 540, 519, 12744, 269, 6178, 909, 547, 1569, 519, 1964, 540, 519, 3561, 780, 1012, 901, 4063, 729, 23345, 593, 476, 6349, 270, 2767, 270, 1001, 272, 585, 519, 1576, 661, 4596, 476, 19740, 9264, 280, 6026, 676, 7905, 10878, 1282, 519, 11354, 1412, 6021, 2165, 693, 681, 3187, 780, 2162, 8525, 272, 1315, 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 ]
[ 4064, 2223, 25760, 1767, 269, 26465, 525, 543, 9205, 12439, 666, 3442, 689, 513, 2647, 3099, 540, 14485, 543, 14604, 602, 616, 1312, 2500, 543, 6752, 762, 563, 10666, 519, 11752, 454, 1103, 476, 1001, 273, 267, 715, 274, 299, 8838, 923, 5342, 513, 18487, 5619, 540, 4079, 547, 1732, 1174, 5615, 543, 4978, 11341, 547, 23475, 28904, 269, 634, 5619, 8947, 2127, 971, 607, 7589, 538, 9205, 5026, 543, 2238, 267, 946, 540, 23475, 28904, 267, 1072, 1702, 267, 543, 5945, 3928, 269, 634, 1641, 1895, 729, 1500, 909, 540, 476, 272, 267, 24699, 17013, 689, 2066, 519, 2197, 1063, 519, 6502, 540, 476, 1240, 268, 7918, 1296, 2025, 269, 2353, 17013, 1185, 12349, 693, 2547, 835, 6292, 540, 23475, 28904, 1282, 519, 2063, 476, 2190, 3275, 267, 543, 1185, 15548, 538, 606, 9205, 2534, 1369, 519, 2250, 1032, 269, 16952, 1239, 568, 2139, 676, 4008, 267, 2085, 1895, 543, 7328, 563, 301, 274, 299, 8838, 923, 8637, 616, 4092, 538, 27925, 543, 570, 1075, 5459, 589, 10961, 5919, 17030, 966, 773, 14765, 543, 5842, 631, 622, 334, 267, 2836, 604, 5919, 645, 3336, 7615, 543, 28631, 267, 2051, 334, 5919, 2107, 1633, 334, 267, 4469, 320, 5919, 28543, 543, 4432, 17131, 334, 267, 7147, 267, 543, 17865, 8235, 4975, 267, 18096, 267, 609, 513, 1007, 4558, 1793, 730, 547, 1930, 538, 645, 30629, 267, 2051, 334, 1421, 538, 4832, 476, 1001, 273, 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 ]
[ 2149, 2802, 22005, 6213, 3132, 543, 1832, 707, 3132, 23906, 615, 585, 3476, 563, 275, 269, 6875, 513, 1507, 6712, 547, 1376, 454, 3080, 540, 519, 7887, 2081, 649, 5352, 1426, 29578, 568, 676, 2921, 811, 1426, 982, 649, 666, 3548, 269, 1879, 18226, 538, 693, 1753, 267, 1376, 609, 4130, 13980, 543, 979, 1394, 585, 7643, 952, 596, 2461, 1869, 17237, 269, 1403, 596, 2461, 18226, 856, 267, 581, 2386, 547, 1152, 1931, 6980, 596, 917, 596, 666, 9096, 543, 5924, 2307, 2818, 540, 707, 1895, 547, 2671, 3677, 8286, 609, 596, 563, 24165, 570, 7709, 281, 1879, 596, 979, 856, 547, 3548, 267, 581, 13533, 540, 875, 1454, 1426, 596, 2461, 19280, 543, 1118, 2386, 547, 2307, 707, 7746, 875, 2462, 6980, 267, 5011, 267, 543, 12608, 9088, 616, 950, 596, 2461, 18516, 269, 901, 786, 948, 596, 1118, 1732, 3653, 23655, 3664, 543, 4688, 2724, 563, 276, 269, 5269, 946, 540, 707, 2451, 13569, 454, 2252, 596, 1439, 909, 5986, 1932, 1454, 1426, 585, 835, 540, 707, 6980, 267, 4688, 707, 2451, 13569, 585, 519, 3018, 6619, 269, 4643, 547, 1491, 707, 2451, 13569, 585, 12899, 519, 1985, 1554, 610, 723, 621, 1586, 519, 1985, 3781, 269, 1411, 666, 1256, 2490, 707, 2451, 13569, 883, 6216, 1007, 6980, 267, 971, 607, 6220, 707, 19323, 8286, 610, 9269, 1286, 322, 817, 609, 17339, 6006, 547, 1118, 513, 12403, 563, 24165, 570, 7709, 281, 1403, 707, 2451, 13569, 616, 1869, 1434, 855, 596, 2461, 711, 538, 519, 7099, 547, 3548, 873, 1318, 2476, 267, 596, 666, 2141, 6529, 873, 538, 707, 29606, 585, 519, 1318, 942, 269, 3807, 581, 2386, 547, 1305, 513, 12576, 585, 3054, 865, 596, 3580, 3314, 547, 979, 1394, 543, 9096, 873, 2663, 563, 277, 269, 3281, 739, 707, 10051, 29578, 454, 6624, 540, 938, 10051, 29578, 616, 2965, 1426, 602, 666, 581, 11003, 539, 269, 1411, 666, 2057, 18530, 707, 29578, 2476, 267, 543, 3079, 1450, 707, 10051, 3653, 630, 7945, 607, 10448, 29578, 610, 4232, 1084, 3132, 264, 547, 31693, 883, 11003, 267, 5356, 513, 1259, 547, 6992, 1125, 543, 2087, 3037, 269, 901, 568, 513, 1454, 811, 5363, 1505, 540, 1426, 3653, 2359, 607, 621, 3947, 1394, 547, 519, 4541, 267, 2864, 982, 31362, 621, 2899, 621, 21128, 693, 519, 25087, 563, 24165, 570, 7709, 281, 8347, 606, 3167, 735, 8803, 585, 2656, 543, 3190, 6954, 24600, 256, 4635, 700, 23449, 666, 1256, 948, 596, 17108, 519, 24600, 1184, 676, 8840, 1524, 707, 5214, 3653, 883, 8770, 11656, 13897, 563, 278, 269, 9523, 707, 1426, 454, 2252, 596, 2461, 2451, 609, 1804, 9424, 540, 9985, 1434, 1426, 596, 917, 596, 610, 707, 1920, 4465, 1406, 3548, 267, 596, 666, 2015, 4687, 621, 609, 1866, 269, 20644, 547, 2285, 621, 547, 707, 12543, 267, 2828, 267, 610, 32283, 619, 945, 1131, 581, 18507, 585, 621, 269, 1411, 666, 849, 1413, 883, 1810, 908, 1022, 21045, 1426, 630, 16838, 952, 621, 779, 5594, 2250, 922, 1163, 597, 344, 4266, 264, 547, 2199, 1347, 885, 543, 1426, 8492, 538, 991, 563, 24165, 570, 7709, 281, 1403, 596, 1810, 1406, 917, 707, 12543, 1360, 1134, 267, 596, 666, 946, 1114, 4609, 543, 8924, 547, 1265, 1004, 5461, 538, 707, 1426, 269, 6333, 3843, 606, 813, 899, 9986, 1470, 547, 1265, 1004, 7404, 945, 616, 5461, 538, 2921, 707, 1426, 1055, 707, 3946, 563, 276, 1655, 2472, 547, 948, 2569, 707, 1426, 3653, 454, 2691, 621, 2501, 547, 4227, 707, 1426, 3653, 267, 972, 616, 7899, 540, 1007, 4066, 585, 3653, 5786, 602, 666, 948, 269, 1452, 616, 513, 1906, 540, 519, 1655, 2472, 547, 2569, 1426, 3653, 563, 299, 23449, 568, 606, 5499, 10051, 27115, 602, 9397, 1524, 1426, 3653, 883, 8770, 11656, 13897, 269, 15439, 1747, 707, 9516, 1426, 543, 1418, 923, 3330, 700, 23449, 267, 543, 596, 3580, 581, 2111, 547, 1711, 13897, 602, 666, 581, 19184, 539, 610, 1031, 547, 17108, 519, 24600, 1184, 269, 1411, 666, 849, 1711, 13897, 547, 4677, 543, 5924, 1332, 1426, 676, 1210, 700, 23449, 779, 22320, 7154, 563, 25820, 281, 1269, 275, 4200, 630, 335, 878, 532, 4566, 2139, 994, 29410, 7121, 281, 28881, 735, 8803, 454, 1432, 779, 1390, 827, 621, 281, 4635, 700, 23449, 547, 31693, 3653, 1447, 839, 23435, 294, 5434, 267, 1519, 15655, 563, 3963, 596, 991, 621, 281, 700, 23449, 779, 2702, 547, 2736, 1524, 5613, 267, 5388, 267, 543, 811, 3653, 883, 8770, 11656, 13897, 2636, 596, 547, 9004, 3653, 267, 7432, 707, 24906, 1426, 883, 3407, 2200, 543, 4758, 1394, 547, 519, 1604, 563, 289, 1663, 20625, 568, 513, 1507, 3926, 585, 707, 26806, 602, 2337, 1832, 707, 1426, 4195, 585, 3476, 269, 898, 1568, 676, 21716, 519, 2802, 22005, 3154, 13671, 538, 707, 26806, 602, 5012, 547, 707, 3132, 2469, 547, 3653, 269, 1773, 5217, 18671, 20625, 538, 707, 26806, 2337, 1832, 707, 1426, 4195, 585, 3476, 267, 865, 596, 723, 942, 547, 2972, 707, 3132, 543, 2569, 27253, 720, 563, 25820, 281, 1269, 1556, 269, 4200, 585, 513, 476, 273, 1790, 871, 454, 29410, 7121, 281, 5253, 11091, 454, 1432, 779, 1390, 827, 621, 281, 29452, 10110, 519, 575, 13293, 538, 707, 26806, 602, 936, 268, 686, 5155, 707, 1426, 563, 3963, 596, 991, 621, 281, 4635, 18671, 20625, 8952, 519, 3132, 538, 707, 26806, 4195, 585, 909, 547, 476, 274, 2053, 3476, 563, 274, 269, 590, 3405, 614, 2605, 3805, 23173, 454, 763, 590, 3405, 614, 2605, 3805, 23173, 568, 513, 1590, 3620, 1511, 585, 4896, 945, 11148, 547, 7340, 1018, 789, 2907, 723, 693, 1753, 269, 634, 5100, 8254, 3217, 513, 8666, 540, 782, 519, 1426, 538, 707, 26806, 1169, 942, 596, 2673, 519, 7450, 267, 3850, 596, 547, 3251, 909, 3562, 15082, 593, 1018, 596, 723, 267, 16382, 596, 616, 269, 898, 779, 849, 2111, 547, 5431, 1367, 3688, 543, 1039, 873, 547, 707, 10918, 1592, 950, 789, 2196, 856, 267, 3850, 596, 547, 1118, 21273, 10918, 3664, 563, 29410, 7121, 281, 23108, 1356, 344, 3919, 454, 1432, 779, 1390, 827, 621, 281, 634, 5100, 8254, 19306, 2592, 540, 26806, 9115, 267, 865, 596, 2141, 917, 1018, 596, 723, 543, 950, 3688, 991, 547, 581, 8719, 563, 3963, 596, 991, 621, 281, 4635, 519, 2605, 3805, 23173, 11151, 596, 689, 11449, 3688, 596, 1810, 1406, 991, 267, 1247, 849, 4946, 3688, 596, 2196, 856, 540, 547, 707, 10918, 1592, 563, 7069, 15933, 1811, 568, 513, 1863, 813, 602, 2337, 596, 3605, 10346, 602, 946, 519, 5820, 596, 723, 693, 1753, 269, 634, 813, 3947, 596, 10531, 7594, 10372, 1759, 593, 707, 7375, 602, 1450, 596, 547, 946, 519, 9115, 540, 707, 10051, 543, 2057, 27830, 1426, 269, 898, 849, 2636, 596, 547, 4688, 707, 5172, 10346, 267, 865, 596, 3580, 2760, 723, 547, 4898, 1018, 547, 1118, 585, 12129, 1586, 563, 29410, 7121, 281, 1234, 10360, 813, 454, 1432, 779, 1390, 827, 621, 281, 5510, 619, 10531, 7594, 10372, 1759, 593, 519, 9115, 540, 707, 10051, 543, 707, 7375, 563, 3963, 596, 991, 621, 281, 4635, 519, 813, 2636, 596, 547, 3605, 1007, 10346, 1500, 609, 519, 5820, 596, 2907, 723, 267, 3850, 596, 547, 1118, 946, 540, 1426, 602, 1522, 6382, 979, 547, 3653, 563, 30469, 1470, 568, 606, 813, 602, 2636, 3755, 547, 2671, 1426, 267, 27022, 267, 543, 811, 609, 741, 12543, 269, 634, 813, 2636, 596, 547, 2022, 707, 4430, 1426, 543, 824, 2139, 3688, 593, 519, 813, 267, 1141, 824, 2199, 3755, 786, 581, 2111, 547, 1294, 1018, 596, 723, 2139, 269, 898, 779, 513, 1390, 1259, 547, 2057, 27830, 1919, 596, 1100, 3476, 991, 267, 1247, 849, 4543, 856, 1004, 538, 707, 2146, 563, 25820, 281, 5131, 547, 4647, 282, 31941, 687, 2139, 585, 1269, 273, 269, 5392, 270, 24629, 610, 1269, 277, 269, 4200, 270, 20204, 563, 29410, 7121, 281, 5253, 6879, 2130, 813, 454, 1432, 779, 1390, 827, 621, 281, 14190, 338, 596, 547, 2671, 543, 1265, 21045, 1426, 543, 824, 3688, 609, 1004, 7404, 563, 3963, 596, 991, 621, 281, 634, 813, 2636, 596, 547, 9108, 2022, 3688, 596, 723, 2139, 543, 3406, 585, 3688, 596, 991, 267, 865, 596, 543, 707, 12543, 666, 1265, 1018, 789, 991, 543, 2569, 3653, 563, 279, 1390, 2200, 547, 2638, 856, 585, 811, 1426, 3653, 6604, 4388, 454, 2467, 616, 7899, 540, 3435, 547, 2569, 1426, 3653, 602, 616, 5363, 267, 543, 1169, 3787, 540, 4674, 12523, 269, 1403, 596, 8910, 899, 547, 1451, 811, 4388, 547, 2569, 1426, 3653, 693, 1753, 543, 811, 267, 2638, 856, 891, 824, 2200, 267, 782, 540, 799, 1331, 3621, 8100, 912, 268, 1215, 547, 2569, 1426, 3653, 910, 589, 476, 1001, 280, 2376, 689, 6481, 5240, 4653, 7234, 476, 1626, 1114, 2081, 547, 2569, 3653, 693, 1753, 267, 1153, 267, 543, 960, 563, 268, 634, 630, 29909, 264, 20023, 8862, 4292, 6651, 281, 476, 1911, 266, 9669, 585, 26805, 2659, 17904, 9453, 21744, 2659, 5020, 910, 589, 476, 1708, 272, 1433, 676, 19784, 9253, 534, 773, 28553, 541, 3626, 602, 7710, 513, 3099, 540, 2081, 596, 666, 2661, 513, 811, 4264, 1272, 543, 2569, 707, 3327, 11640, 563, 268, 476, 276, 4388, 547, 2569, 1426, 3653, 910, 589, 2110, 476, 1708, 272, 3381, 689, 519, 6167, 5113, 19510, 602, 6227, 519, 2942, 1764, 540, 1426, 2530, 543, 3653, 543, 2653, 4388, 593, 875, 649, 666, 2253, 547, 1118, 513, 3017, 563, 268, 476, 736, 14168, 18467, 547, 21079, 2659, 5253, 17904, 910, 589, 476, 1001, 278, 2376, 689, 2657, 1467, 24223, 476, 736, 4388, 585, 3362, 4227, 3653, 267, 2059, 609, 1271, 1344, 563, 268, 634, 20023, 17904, 4258, 325, 281, 7233, 268, 2690, 1189, 31204, 543, 9669, 585, 513, 12655, 28881, 543, 14136, 910, 589, 476, 1708, 272, 3434, 1504, 676, 14732, 5336, 541, 773, 12844, 928, 879, 602, 779, 2407, 540, 1390, 10346, 602, 786, 948, 596, 2226, 513, 4642, 3653, 10051, 563, 268, 5253, 17904, 3123, 8693, 7827, 269, 3371, 779, 875, 649, 3247, 621, 269, 910, 589, 476, 1708, 271, 3381, 1557, 689, 3776, 21744, 8693, 602, 7710, 875, 938, 3653, 568, 18363, 519, 4541, 543, 519, 2241, 3435, 602, 666, 948, 2569, 938, 3653, 563, 268, 476, 1428, 11822, 9669, 547, 570, 871, 548, 5253, 17904, 693, 5851, 910, 589, 476, 1001, 279, 2376, 689, 7186, 18610, 10787, 916, 8720, 2653, 10918, 267, 4859, 267, 5986, 267, 543, 4687, 4388, 602, 786, 948, 596, 2569, 707, 3653, 563, 268, 5253, 17904, 267, 6820, 12017, 518, 1299, 1411, 1923, 1948, 1805, 641, 763, 310, 4292, 910, 589, 2110, 476, 1708, 271, 3381, 689, 519, 2622, 5253, 19510, 24223, 7194, 543, 1018, 666, 581, 2944, 547, 1118, 513, 3017, 563, 3086, 602, 596, 917, 540, 930, 2081, 547, 2569, 7622, 1426, 3653, 267, 621, 779, 942, 547, 1589, 827, 1018, 1426, 3653, 5786, 2409, 596, 8910, 899, 547, 2119, 269, 1403, 596, 2461, 5461, 538, 3695, 930, 540, 519, 1007, 2029, 547, 2569, 1426, 3653, 267, 2638, 856, 1018, 1004, 616, 6031, 827, 700, 23449, 563, 24309, 676, 281, 918, 18974, 9741, 0, 9213, 267, 476, 4792, 2929, 1004, 263, 641, 839, 538, 513, 1007, 9184, 264, 2661, 607, 15076, 610, 616, 19774, 1369, 741, 1753, 2477, 2443, 811, 982, 693, 1022, 824, 1448, 263, 641, 839, 538, 513, 1007, 9184, 264, 2094, 519, 772, 12991, 269, 25083, 324, 10837, 3459, 10655, 1239, 269, 3509, 2477, 723, 8118, 741, 10665, 547, 1346, 19774, 676, 2112, 543, 26380, 267, 855, 6560, 547, 6023, 519, 1804, 27614, 563, 1607, 2518, 6433, 568, 1419, 29144, 607, 606, 11566, 4161, 585, 799, 1100, 835, 666, 2709, 513, 25685, 3070, 269, 1809, 972, 568, 513, 1305, 540, 2645, 263, 641, 839, 538, 513, 1007, 9184, 264, 602, 1131, 948, 721, 267, 607, 513, 2518, 2486, 267, 1491, 2101, 682, 2355, 4464, 538, 5466, 713, 6433, 269, 594, 6415, 6158, 827, 16762, 12642, 263, 641, 839, 538, 513, 1007, 9184, 264, 2443, 519, 8579, 2257, 630, 16341, 1131, 2161, 1148, 264, 602, 15183, 1699, 543, 2250, 1239, 547, 3589, 2104, 4093, 563, 2026, 513, 1279, 29280, 19995, 540, 16762, 12642, 267, 594, 917, 519, 2361, 568, 4712, 547, 1491, 593, 713, 4161, 263, 641, 839, 538, 513, 1007, 9184, 1040, 1809, 2797, 543, 2883, 4155, 4565, 4169, 616, 5329, 721, 689, 5466, 519, 6433, 563, 5472, 519, 30270, 585, 519, 1732, 851, 540, 519, 2487, 8717, 267, 16762, 12642, 616, 1631, 1031, 538 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 538, 8006, 267, 713, 27705, 6520, 882, 545, 2934, 26007, 540, 18477, 3615, 267, 16113, 1519, 519, 20167, 328, 3547, 12440, 267, 3752, 630, 1492, 3141, 1070, 543, 700, 10044, 630, 1492, 7599, 264, 630, 8201, 476, 272, 1040, 21452, 2614, 267, 519, 12210, 781, 1374, 14687, 5702, 609, 11673, 3177, 538, 1896, 6196, 11620, 15102, 5532, 547, 15584, 630, 293, 1716, 773, 267, 476, 1001, 274, 6393, 4407, 1100, 17046, 6169, 6818, 16046, 519, 3026, 3630, 21708, 2598, 330, 2047, 547, 15584, 610, 519, 25232, 267, 922, 6228, 1281, 6542, 602, 3504, 9082, 2066, 2342, 543, 5607, 4371, 4359, 24300, 540, 17651, 1279, 1354, 13166, 6444, 7389, 630, 306, 11155, 11839, 267, 476, 1001, 280, 1040, 9182, 267, 621, 3788, 26363, 602, 15584, 1223, 723, 15600, 2147, 24666, 1702, 1282, 1010, 10715, 267, 10128, 971, 17184, 7326, 883, 519, 13439, 1417, 12355, 5132, 780, 9654, 269, 10390, 692, 1103, 3932, 267, 938, 3408, 540, 15584, 543, 1010, 2078, 609, 7326, 3332, 8761, 513, 1950, 13795, 18955, 689, 16060, 540, 3309, 10459, 267, 1519, 9125, 334, 770, 25348, 267, 5527, 1108, 267, 543, 519, 1353, 540, 3504, 1381, 338, 269, 1635, 8508, 606, 15834, 1935, 267, 649, 10625, 4195, 5380, 593, 2085, 6040, 2055, 7282, 15584, 262, 3020, 3961, 267, 18144, 267, 543, 18517, 269, 5015, 267, 713, 5499, 12191, 32514, 919, 6456, 7516, 1369, 519, 6196, 11620, 3294, 267, 17766, 1007, 1769, 593, 942, 3620, 517, 1819, 5931, 543, 7393, 938, 2949, 8223, 540, 13400, 6386, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 20636, 5856, 543, 11001, 593, 1686, 267, 744, 12717, 966, 2177, 590, 5183, 24518, 267, 9382, 10058, 454, 10177, 806, 689, 2959, 540, 25196, 543, 3504, 1686, 538, 1931, 547, 30035, 519, 454, 3240, 20712, 540, 519, 3140, 15584, 269, 901, 849, 2882, 1010, 7634, 540, 454, 534, 2615, 1381, 545, 2175, 543, 22612, 13655, 267, 5892, 1419, 454, 10864, 21124, 593, 519, 3376, 3140, 1377, 563, 763, 5856, 781, 8906, 454, 935, 1356, 940, 519, 3504, 1381, 338, 1397, 1271, 10569, 547, 606, 23762, 454, 7290, 5566, 10155, 910, 513, 4241, 2250, 2484, 811, 10731, 543, 4359, 982, 454, 324, 6123, 281, 910, 1759, 593, 2090, 543, 1382, 540, 849, 24666, 1686, 543, 454, 292, 5118, 1108, 519, 5856, 814, 3370, 513, 2189, 1521, 1047, 593, 519, 9510, 5182, 454, 14090, 540, 519, 1158, 269, 1306, 519, 1101, 11001, 547, 25034, 1518, 519, 3504, 454, 15574, 538, 519, 4786, 646, 814, 4481, 31889, 519, 454, 1410, 716, 6580, 540, 519, 4786, 910, 513, 3621, 22082, 960, 799, 814, 6591, 454, 514, 1181, 1049, 25621, 543, 2463, 910, 543, 1851, 824, 1919, 621, 814, 454, 4186, 30744, 547, 519, 1101, 3169, 6580, 835, 540, 519, 1034, 1271, 22184, 338, 540, 606, 857, 523, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 310, 529, 3256, 9085, 257, 607, 851, 540, 834, 32628, 1315, 19978, 2405, 14591, 1315, 6196, 11620, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 272, 281, 28523, 4479, 910, 589, 7395, 673, 2622, 540, 27884, 692, 5970, 596, 2479, 2938, 513, 12470, 564, 1397, 286, 898, 781, 899, 8384, 513, 2661, 7260, 609, 9589, 3197, 4947, 547, 1272, 1318, 1354, 707, 4064, 256, 28523, 4479, 568, 606, 6909, 1106, 540, 7900, 6575, 1141, 5159, 946, 12470, 1115, 547, 2995, 2984, 267, 1711, 2982, 267, 543, 25407, 9458, 269, 2913, 781, 4685, 883, 713, 4241, 1158, 1927, 2439, 1262, 1432, 568, 28523, 4479, 15140, 5331, 8744, 707, 5172, 11442, 547, 1272, 543, 2348, 621, 3717, 267, 7544, 267, 610, 1256, 2206, 256, 2334, 781, 1018, 12470, 23176, 619, 798, 269, 1358, 13861, 12470, 1115, 1765, 338, 2133, 5515, 1500, 689, 2326, 971, 607, 3574, 267, 5958, 267, 610, 5068, 23121, 957, 856, 2984, 593, 3942, 269, 1452, 2984, 1223, 581, 18912, 8941, 267, 3140, 2621, 267, 610, 3312, 6386, 2813, 1175, 585, 519, 12470, 564, 1397, 780, 265, 30747, 338, 540, 28523, 1115, 17041, 692, 272, 269, 2878, 21652, 28523, 1115, 5093, 7435, 12470, 1115, 616, 6417, 676, 835, 1688, 602, 4422, 3330, 519, 12470, 564, 1247, 519, 824, 1688, 2337, 1847, 922, 17873, 269, 6056, 540, 875, 513, 2241, 1124, 330, 12470, 564, 7575, 950, 596, 2322, 707, 1688, 3330, 621, 269, 2334, 781, 513, 2596, 1826, 540, 1688, 12470, 564, 2336, 273, 269, 2878, 305, 617, 28523, 1115, 5093, 14339, 12470, 1115, 723, 22203, 7923, 547, 741, 7916, 543, 7953, 267, 3850, 519, 12470, 564, 17621, 547, 1852, 873, 1210, 891, 22203, 689, 2630, 610, 1657, 519, 3942, 269, 901, 3947, 519, 21903, 602, 519, 1915, 568, 3001, 10446, 563, 274, 269, 2878, 11321, 542, 22863, 5093, 3057, 542, 22863, 616, 5569, 12470, 1115, 17735, 538, 4571, 1515, 269, 634, 7376, 5578, 2685, 27605, 12673, 4448, 547, 1585, 2694, 540, 519, 2261, 542, 8291, 781, 1560, 547, 1118, 621, 3802, 267, 7914, 267, 610, 1685, 1035, 13681, 1738, 905, 1846, 563, 275, 269, 2878, 4537, 20760, 28523, 1115, 5093, 1744, 20760, 12470, 1115, 616, 6366, 2759, 8083, 4371, 1063, 513, 1769, 2707, 543, 513, 5496, 269, 1879, 6410, 267, 789, 5641, 20224, 602, 2995, 22539, 3308, 2984, 780, 1262, 1692, 6496, 513, 28523, 564, 8058, 4518, 15140, 9617, 899, 1022, 824, 2773, 267, 12470, 564, 2982, 4125, 4058, 267, 2259, 267, 543, 6881, 269, 28523, 23176, 619, 1101, 3442, 513, 1650, 789, 1616, 547, 2671, 269, 3973, 789, 1374, 543, 1628, 1142, 1915, 267, 2870, 2189, 23079, 267, 9739, 267, 543, 14789, 269, 8921, 2501, 31667, 531, 942, 267, 1141, 12470, 23176, 619, 1451, 875, 547, 3142, 741, 13144, 547, 1272, 998, 6297, 5322, 543, 11558, 269, 7053, 267, 789, 16436, 606, 5304, 547, 2972, 519, 1397, 2439, 1262, 29423, 1466, 30880, 4373, 4407, 2757, 12470, 564, 2982, 1832, 519, 22407, 6456, 3297, 519, 10207, 267, 972, 616, 849, 29355, 14364, 6163, 1141, 5304, 2818, 666, 6443, 538, 593, 519, 1187, 269, 5994, 4543, 513, 9649, 15743, 2097, 547, 1272, 610, 13057, 513, 4503, 27959, 998, 513, 25386, 4104, 256, 3414, 7317, 2833, 899, 891, 267, 3214, 666, 1020, 5876, 267, 6568, 267, 543, 1514, 1983, 780, 1262, 18698, 27639, 3414, 28523, 4479, 4373, 303, 6269, 4479, 3884, 1405, 3908, 547, 1022, 2582, 2197, 610, 3148, 269, 3245, 3504, 5259, 4249, 547, 24414, 14692, 12470, 564, 25704, 1572, 10158, 836, 918, 592, 527, 267, 1169, 2528, 814, 922, 1378, 3638, 2245, 540, 12470, 4479, 269, 1635, 1565, 827, 1114, 2010, 540, 12470, 4479, 1472, 519, 1158, 267, 649, 666, 5660, 3309, 7499, 7215, 543, 15052, 938, 1620, 540, 2518, 6561, 780, 3086, 602, 596, 917, 782, 827, 12470, 4479, 267, 1946, 711, 2119, 1818, 707, 1378, 2241, 12470, 564, 543, 8380, 593, 513, 1397, 286, 1411, 1522, 3605, 513, 1007, 6612, 585, 9423, 610, 3274, 723, 513, 1390, 942, 4687, 17409, 543, 7772, 609, 2828, 543, 1920, 269, 1924, 979, 6619, 267, 25793, 1662, 707, 9345, 267, 543, 1577, 519, 9059, 540, 12470, 4479, 3560, 596, 547, 8748, 10600, 2407, 540, 7045, 543, 10508, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21202, 2773, 267, 538, 519, 7900, 6575, 267, 3622, 13408, 606, 2680, 538, 799, 513, 1685, 518, 610, 1895, 540, 22407, 1459, 835, 610, 811, 1568, 540, 1148, 547, 606, 5304, 269, 15394, 519, 22407, 7119, 538, 31667, 1023, 25656, 269, 2991, 2072, 5304, 2818, 1419, 3365, 7596, 563, 763, 1797, 540, 11589, 7071, 666, 4268, 676, 2528, 269, 4457, 22407, 786, 804, 777, 609, 519, 5304, 693, 519, 1439, 540, 513, 2773, 282, 519, 2132, 3365, 1021, 6786, 834, 628, 1678, 596, 257, 547, 519, 5304, 269, 769, 3567, 267, 12563, 7900, 268, 11301, 12644, 4122, 4482, 2043, 945, 1491, 11147, 267, 3006, 3478, 909, 547, 519, 3942, 543, 1369, 6279, 540, 1685, 518, 781, 8188, 563, 15919, 519, 12270, 1899, 1063, 1685, 518, 543, 519, 5304, 949, 1831, 23324, 267, 607, 538, 519, 1383, 540, 834, 4820, 4602, 2218, 16222, 257, 1141, 5304, 2818, 1205, 3238, 538, 519, 2504, 563, 763, 520, 3740, 12644, 666, 1491, 1747, 3232, 610, 693, 930, 824, 2834, 8884, 269, 9524, 1734, 666, 1491, 1747, 693, 11280, 2773, 5624, 630, 7945, 607, 513, 16222, 610, 13447, 10689, 1070, 610, 538, 513, 1875, 18396, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 303, 6269, 4479, 257, 607, 851, 540, 834, 16300, 16337, 1315, 27400, 8551, 1315, 4937, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 28982, 972, 256, 5620, 596, 2479, 9289, 945, 2337, 1004, 950, 789, 2811, 2469, 998, 9157, 2053, 286, 2107, 6148, 596, 917, 2576, 945, 814, 2877, 1489, 609, 741, 4606, 610, 2623, 286, 2334, 781, 1141, 1514, 4600, 2097, 538, 256, 1358, 616, 4648, 8036, 547, 948, 2043, 267, 3885, 267, 543, 1256, 3003, 2950, 4383, 2352, 3871, 543, 2087, 741, 2949, 1134, 5630, 269, 4653, 649, 786, 2263, 1018, 621, 1797, 547, 581, 513, 1514, 11832, 267, 1946, 789, 616, 865, 1271, 267, 543, 875, 789, 666, 20647, 538, 1114, 2127, 547, 1732, 4196, 1346, 538, 991, 780, 5331, 713, 9183, 281, 589, 1126, 3957, 16092, 2729, 538, 707, 8378, 269, 21298, 267, 16092, 781, 3237, 3893, 32682, 1027, 267, 4929, 513, 2603, 540, 2566, 693, 1753, 269, 1306, 513, 1267, 267, 16092, 6238, 9117, 856, 693, 1153, 543, 10010, 27268, 269, 901, 568, 1141, 513, 1514, 11832, 1223, 1900, 538, 269, 1635, 2324, 5702, 609, 16092, 543, 741, 1920, 267, 513, 1514, 11832, 1131, 2708, 519, 3510, 543, 1020, 513, 1544, 547, 2232, 16092, 781, 2115, 269, 901, 1522, 4125, 8220, 873, 609, 2200, 899, 3797, 610, 23468, 2533, 267, 14957, 593, 741, 15773, 609, 3610, 543, 16984, 267, 543, 3450, 1007, 1983, 602, 3895, 2318, 5615, 543, 12003, 2994, 780, 3086, 1577, 781, 2911, 827, 875, 1514, 4600, 1205, 3323, 538, 741, 11678, 269, 3509, 1514, 4600, 3180, 4487, 781, 5232, 20196, 781, 513, 16681, 1259, 540, 6031, 789, 4682, 547, 10927, 1153, 1310, 15980, 741, 20277, 781, 4110, 630, 6518, 2356, 3217, 2185, 1296, 1040, 1280, 1383, 267, 952, 596, 941, 5461, 538, 4742, 513, 1514, 11832, 14693, 267, 596, 1522, 1101, 7118, 513, 20277, 781, 4110, 538, 6530, 267, 15257, 267, 610, 1776, 4143, 2361, 1354, 7311, 547, 513, 4487, 781, 1982, 538, 1514, 960, 269, 1452, 4359, 3292, 3335, 1491, 1472, 1079, 1296, 547, 9096, 855, 3006, 2709, 18965, 3681, 1932, 269, 4495, 789, 4312, 12236, 741, 4110, 267, 14971, 1514, 4600, 1590, 849, 1780, 1533, 6132, 839, 675, 18362, 547, 2327, 789, 2743, 3318, 4441, 780, 3719, 1934, 2501, 519, 1187, 851, 281, 1703, 616, 1082, 2081, 547, 1445, 707, 4876, 607, 513, 1514, 11832, 256, 1411, 1294, 267, 1175, 607, 7189, 666, 20647, 538, 12963, 338, 267, 3556, 5735, 267, 610, 11719, 344, 267, 1514, 4600, 1419, 13404, 593, 1808, 2152, 2673, 547, 741, 12271, 269, 1284, 1289, 891, 834, 338, 2133, 3074, 2437, 543, 789, 1450, 1514, 4600, 547, 1831, 4966, 538, 1880, 2127, 269, 2913, 803, 2671, 930, 4277, 3283, 609, 596, 1384, 272, 269, 2878, 2704, 4022, 543, 3075, 6057, 5093, 4317, 4600, 7463, 538, 6219, 946, 4713, 948, 7218, 7753, 8213, 676, 3246, 2069, 267, 2126, 3277, 23552, 267, 543, 5571, 1489, 563, 273, 269, 2878, 21609, 10304, 5093, 28968, 2519, 593, 1126, 10304, 12167, 585, 1453, 781, 3106, 543, 1134 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 649, 1131, 581, 2111, 547, 2161, 602, 1269, 337, 3709, 273, 4151, 729, 513, 1455, 27708, 540, 1269, 332, 259, 543, 1269, 333, 259, 630, 25585, 286, 1040, 1109, 2334, 779, 1945, 693, 2547, 780, 763, 3579, 3364, 827, 938, 5690, 1934, 568, 602, 267, 1317, 1269, 320, 3709, 272, 348, 333, 1341, 678, 3709, 272, 348, 815, 544, 259, 649, 723, 602, 2901, 1269, 337, 3709, 272, 348, 815, 476, 271, 259, 543, 649, 2461, 2944, 609, 519, 5690, 267, 610, 1269, 337, 3709, 272, 348, 3436, 476, 271, 259, 543, 649, 949, 1106, 513, 1007, 3830, 1269, 333, 815, 513, 3709, 273, 348, 337, 3709, 272, 348, 1341, 678, 3709, 273, 4151, 282, 713, 3830, 814, 267, 593, 519, 2451, 11804, 2427, 267, 519, 1297, 1269, 333, 259, 799, 568, 1447, 982, 519, 3105, 3830, 779, 2451, 11804, 2427, 267, 799, 729, 1269, 332, 10608, 1109, 8033, 5224, 713, 1184, 267, 649, 786, 723, 1269, 337, 3709, 272, 9574, 678, 3709, 273, 9574, 1422, 25854, 259, 593, 519, 2451, 11804, 2427, 267, 1142, 540, 799, 568, 1447, 982, 519, 835, 799, 3357, 1354, 621, 269, 1109, 5221, 1269, 337, 3709, 328, 348, 1422, 28254, 476, 271, 259, 585, 1022, 540, 519, 2611, 10249, 267, 5555, 621, 786, 1831, 476, 271, 630, 25585, 24047, 543, 713, 5690, 786, 2165, 3729, 269, 1109, 2334, 568, 267, 649, 786, 723, 1336, 930, 1269, 337, 3709, 328, 4151, 799, 568, 513, 1455, 27708, 585, 1312, 1269, 333, 267, 544, 259, 282, 4481, 267, 621, 786, 581, 519, 1269, 337, 3709, 328, 4153, 928, 336, 476, 271, 259, 971, 602, 1269, 337, 3709, 328, 266, 272, 348, 815, 476, 271, 259, 630, 528, 267, 621, 949, 3274, 581, 1269, 333, 259, 952, 1269, 333, 259, 17337, 1269, 332, 259, 6393, 1607, 5690, 267, 1572, 519, 28070, 23990, 267, 2965, 1281, 811, 834, 2246, 558, 5597, 9899, 621, 711, 1152, 9060, 513, 1455, 27708, 267, 855, 2965, 9060, 519, 6574, 1455, 27708, 540, 1269, 332, 19885, 8961, 799, 267, 689, 1631, 593, 267, 649, 786, 20301, 4399, 326, 7251, 9852, 19885, 30879, 1109, 634, 834, 16513, 257, 540, 713, 568, 3274, 15663, 602, 4399, 326, 7251, 9852, 19885, 264, 815, 1422, 326, 7251, 3799, 267, 337, 3709, 272, 16585, 815, 1422, 326, 7251, 16868, 3709, 272, 9574, 337, 3709, 273, 16585, 815, 1422, 26984, 815, 1422, 326, 7251, 16868, 3709, 328, 268, 272, 9574, 337, 3709, 328, 16585, 815, 678, 3709, 328, 4151, 630, 933, 7074, 713, 1657, 1510, 1818, 4704, 547, 519, 575, 7251, 267, 855, 519, 5467, 1058, 3801, 547, 979, 998, 782, 519, 1482, 3268, 1210, 519, 2856, 540, 519, 575, 7251, 6393, 3383, 269, 1109, 1403, 596, 723, 1079, 2067, 2338, 267, 1269, 333, 31599, 8961, 596, 7941, 873, 267, 1265, 519, 14230, 267, 2328, 519, 3830, 267, 1287, 3136, 607, 1657, 2394, 596, 1205, 513, 476, 271, 14230, 269, 1109, 3973, 596, 4584, 519, 14230, 2047, 1354, 596, 3893, 476, 271, 607, 707, 575, 7251, 630, 528, 267, 596, 4584, 519, 4130, 1297, 952, 835, 1297, 17337, 519, 824, 1040, 1109, 30474, 2241, 5690, 267, 855, 568, 621, 3608, 2496, 21413, 2469, 883, 6101, 834, 324, 11797, 257, 8847, 267, 834, 13433, 2580, 621, 568, 3833, 3608, 269, 1109, 1677, 6961, 621, 267, 1577, 779, 1491, 606, 834, 320, 2071, 257, 1383, 1210, 519, 834, 26171, 257, 2338, 476, 15836, 8064, 275, 29121, 279, 543, 476, 275, 2641, 277, 2641, 273, 269, 1109, 1284, 4063, 602, 630, 2421, 4050, 543, 1957, 267, 610, 676, 1210, 513, 3044, 9498, 264, 602, 692, 15836, 8064, 275, 29121, 279, 815, 476, 28766, 263, 275, 2641, 277, 2641, 273, 264, 1341, 476, 9610, 25851, 275, 780, 9202, 267, 649, 4063, 602, 692, 275, 2641, 277, 2641, 273, 815, 476, 274, 263, 9610, 25851, 275, 264, 1341, 476, 271, 692, 6518, 14678, 3947, 721, 519, 3070, 4399, 326, 7251, 263, 275, 2641, 277, 2641, 273, 267, 476, 15836, 8064, 275, 29121, 279, 264, 815, 476, 9610, 25851, 275, 10608, 1109, 2334, 779, 7168, 15813, 269, 1109, 8074, 602, 713, 729, 606, 2523, 2656, 4693, 267, 855, 1256, 519, 834, 342, 528, 560, 257, 3283, 616, 5266, 2656, 780, 308, 10811, 4624, 4856, 3326, 776, 256, 281, 1109, 1280, 1269, 333, 31599, 259, 2067, 2338, 267, 952, 4399, 326, 7251, 3799, 31599, 264, 815, 737, 259, 1287, 972, 6818, 9981, 1269, 320, 14720, 259, 971, 602, 1269, 534, 1341, 536, 332, 815, 737, 16859, 1607, 568, 811, 3730, 982, 596, 1522, 1589, 693, 1101, 16145, 267, 543, 649, 3580, 1205, 883, 1946, 538, 513, 2663, 2022, 267, 855, 1018, 779, 8799, 827, 713, 1351, 3326, 776, 568, 602, 621, 2501, 834, 1721, 1863, 257, 689, 519, 28070, 5690, 269, 1109, 8074, 602, 267, 2094, 1269, 330, 259, 17337, 1269, 333, 267, 544, 8961, 621, 3411, 1182, 547, 6961, 713, 1351, 3326, 776, 585, 1269, 534, 1341, 536, 332, 815, 476, 272, 259, 1141, 1269, 333, 267, 544, 259, 723, 4399, 326, 7251, 3799, 31599, 264, 815, 476, 272, 10608, 1109, 634, 6169, 3096, 15632, 593, 519, 1297, 540, 3268, 540, 519, 28070, 5690, 585, 1346, 2338, 267, 855, 585, 1346, 540, 596, 945, 616, 811, 4810, 543, 917, 22606, 12980, 267, 596, 949, 2972, 519, 1739, 2241, 6169, 1384, 257, 290, 548, 591, 257, 19577, 540, 519, 4856, 3326, 776, 281, 2913, 1269, 332, 3436, 562, 259, 630, 1721, 7862, 267, 519, 6169, 568, 2653, 1040, 1109, 1284, 786, 1152, 1416, 827, 2611, 10249, 538, 713, 6169, 267, 865, 649, 786, 1413, 693, 930, 2338, 1110, 25222, 1269, 332, 10608, 1109, 6333, 692, 259, 337, 3709, 272, 348, 815, 562, 315, 7116, 544, 6911, 259, 337, 3709, 273, 348, 815, 476, 273, 333, 315, 7116, 544, 6911, 7445, 341, 25854, 6911, 259, 337, 3709, 332, 268, 272, 348, 815, 630, 332, 268, 272, 264, 333, 315, 7116, 544, 6911, 9616, 972, 616, 4010, 1269, 332, 268, 272, 259, 2611, 10249, 1934, 543, 602, 519, 14230, 1269, 271, 259, 2760, 4386, 630, 26238, 1269, 332, 19885, 259, 616, 5266, 6305, 1040, 1109, 14597, 602, 1269, 337, 3709, 328, 348, 1422, 928, 336, 476, 272, 259, 585, 1142, 540, 519, 1269, 328, 259, 282, 602, 568, 267, 519, 14230, 476, 272, 1281, 711, 2479, 1397, 909, 538, 713, 1592, 269, 1109, 1635, 519, 25190, 517, 3620, 1961, 6240, 630, 553, 972, 616, 1269, 332, 910, 476, 272, 259, 2611, 10249, 855, 1152, 1269, 332, 910, 273, 259, 2009, 2418, 585, 519, 2611, 10249, 264, 649, 1590, 723, 602, 1269, 337, 3709, 328, 348, 815, 678, 3709, 329, 4151, 585, 930, 1269, 328, 315, 928, 336, 795, 10608, 1109, 2334, 568, 267, 649, 723, 692, 259, 514, 1422, 7116, 544, 815, 795, 333, 1422, 7116, 544, 6911, 6518, 10522, 692, 259, 263, 328, 18191, 264, 333, 315, 7116, 544, 815, 476, 271, 6911, 8117, 713, 568, 7543, 267, 2094, 621, 10522, 602, 2901, 1269, 332, 815, 476, 271, 259, 610, 1269, 333, 259, 568, 930, 8870, 2789, 540, 1269, 332, 8961, 855, 1269, 332, 3436, 476, 271, 259, 543, 649, 723, 17648, 1269, 332, 19885, 259, 616, 5266, 6305, 269, 1109, 9747, 267, 519, 14230, 1269, 272, 259, 1590, 2049, 269, 1109, 2334, 568, 267, 1269, 337, 3709, 322, 348, 815, 476, 272, 259, 585, 930, 1269, 322, 259, 543, 692, 259, 322, 333, 1422, 7116, 544, 815, 476, 272, 269, 6911, 3719, 1018, 1281, 713, 1611, 286, 1109, 898, 1797, 602, 972, 568, 930, 8870, 1269, 320, 259, 971, 602, 1269, 600, 910, 524, 333, 815, 476, 272, 10608, 1109, 1677, 1118, 713, 840, 1777, 1512, 267, 1577, 1269, 321, 815, 910, 322, 259, 543, 649, 1265, 602, 972, 6818, 1269, 320, 14720, 259, 9981, 971, 602, 1269, 600, 1341, 536, 333, 815, 476, 272, 8961, 607, 2838, 269, 1109, 4399, 26213, 6911, 303, 4958, 1399, 521, 5585, 267, 1100, 286, 0, 258, 476, 12893, 7597, 630, 15893, 2020, 1556, 267, 6321, 280, 630, 25279, 1597, 8536, 2947, 4627, 24239, 5991, 710, 264, 568, 606, 9642, 2947, 1673, 580, 1080, 12432, 1297, 1739, 476, 12893, 6924, 543, 18631, 476, 12893, 3583, 269, 769, 3621, 10035, 267, 621, 568, 2854, 607, 476, 272, 269, 14444, 280, 6398, 476, 10441, 269, 634, 2040, 540, 922, 9704, 568, 476, 2420, 269, 898, 814, 513, 2698, 540, 476, 273, 6305, 2188, 543, 476, 275, 2318, 16975, 269, 1703, 616, 476, 1556, 267, 271, 4510, 2318, 9981, 630, 1575, 547, 476, 12893, 7597, 264, 602, 616, 5266, 6305, 547, 476, 12893, 7597, 780, 1012, 9978, 3601, 692, 1892, 1772, 11788, 286, 3143, 454, 1892, 7089, 26027, 744, 9536, 454, 1892, 7089, 3259, 476, 276, 454, 1892, 5681, 540, 6226, 1080, 476, 2420, 454, 1892, 7913, 17848, 476, 275, 692, 1012, 8745, 692, 14112, 2012, 476, 1556, 8536, 476, 6321, 280, 22221, 8536, 2947, 4627, 24239, 5991, 710, 692, 1012, 3502, 566, 692, 26199, 10035, 476, 272, 269, 14444, 280, 6398, 476, 10441, 476, 1556, 269, 6321, 280, 6398, 476, 9818, 692, 1012, 11788, 16748, 1436, 540, 476, 12893, 7597, 692, 28269, 16748, 1436, 476, 2537, 6398, 476, 2004, 274, 692, 4467, 22683, 1297, 454, 18850, 3307, 11790, 11192, 11790, 7101, 673, 28911, 3799, 264, 476, 273, 11192, 1297, 540, 3982, 6305, 2188, 3852, 358, 3799, 264, 476, 273, 11192, 1297, 540, 6305, 2188, 2234, 3799, 264, 476, 12893, 7597, 8605, 540, 519, 3982, 6305, 2338, 18494, 3799, 264, 476, 272, 16849, 519, 26027, 540, 3852, 358, 3799, 1070, 971, 602, 18494, 3799, 264, 815, 11196, 272, 264, 394, 358, 3799, 264, 13179, 3799, 264, 476, 272, 16849, 281, 476, 272, 267, 952, 562, 814, 606, 1256, 1297, 540, 6305, 2188, 630, 663, 568, 4009, 1863, 264, 6567, 272, 267, 952, 562, 814, 606, 9642, 1297, 540, 6305, 2188, 630, 663, 568, 4009, 1863, 264, 476, 271, 267, 952, 562, 814, 513, 16302, 6305, 3815, 3852, 505, 3799, 264, 476, 271, 16849, 2845, 9638, 264, 952, 562, 568, 513, 1379, 533, 330, 540, 1022, 6305, 533, 630, 1721, 1022, 737, 13843, 476, 272, 1070, 3116, 7024, 476, 271, 692, 763, 6305, 26458, 540, 476, 1556, 267, 6321, 280, 568, 476, 2537, 6398, 476, 2004, 274, 269, 4595, 621, 814, 513, 2698, 540, 476, 273, 6305, 2188, 267, 476, 1556, 267, 6321, 280, 568, 513, 12432, 1297, 780, 1012, 6555, 30583, 540, 476, 12893, 7597, 692, 272, 267, 476, 2537, 267, 476, 2004, 274, 267, 476, 12893, 7597, 692, 275, 16975, 692, 4634, 16975, 476, 271, 476, 275, 476, 273, 476, 273, 454, 13707, 6555, 30583, 5681, 540, 6555, 30583, 1325, 1172, 582, 5681, 26018, 3799, 264, 476, 275, 11192, 1297, 540, 519, 2318, 16975, 540, 562, 21566, 3799, 264, 476, 6344, 9834, 5681, 540, 782, 519, 2318, 16975, 540, 562, 521, 3799, 264, 476, 276, 2767, 5681, 540, 519, 1697, 2318, 16975, 540, 562, 589, 3799, 264, 476, 23714, 275, 16849, 519, 2040, 540, 16975, 630, 17385, 3799, 4297, 5258, 676, 519, 2698, 1297, 540, 16975, 630, 16483, 3799, 4297, 717, 3799, 264, 476, 13040, 269, 4649, 280, 16849, 519, 32671, 3597, 540, 519, 1587, 540, 562, 16975, 670, 3799, 264, 476, 274, 269, 279, 1839, 10463, 16849, 519, 2698, 1297, 540, 16975, 630, 16483, 3799, 4297, 5258, 676, 519, 2040, 540, 519, 23483, 540, 1142, 16975, 692, 763, 1297, 476, 1556, 267, 6321, 280, 666, 581, 5258, 676, 476, 275, 2318, 16975, 630, 719, 540, 799, 476, 271, 616, 1256, 267, 543, 476, 275, 616, 9642, 1040, 634, 2040, 540, 891, 16975, 630, 12248, 532, 476, 1556, 267, 6321, 280, 264, 568, 476, 1321, 267, 6021, 277, 267, 519, 3328, 568, 476, 274, 267, 271, 2190, 780, 1012, 4033, 25226, 12793, 630, 333, 815, 476, 12893, 7597, 2020, 272, 26420, 3799, 264, 562, 454, 292, 17526, 570, 582, 1304, 25844, 19376, 700, 10033, 11788, 13100, 26420, 3799, 264, 476, 8099, 4510, 11192, 1297, 540, 2318, 9981, 711, 3152, 982, 562, 602, 616, 2941, 31870, 547, 562, 18494, 3799, 264, 476, 4649, 273, 273, 9540, 652, 2318, 1297, 971, 602, 513, 16575, 3799, 264, 9881, 350, 476, 272, 630, 7116, 562, 264, 585, 782, 513, 2941, 31870, 547, 562, 12631, 3799, 264, 9881, 486, 476, 16928, 279, 11192, 1297, 540, 22136, 1447, 982, 610, 3160, 547, 562, 678, 273, 3799, 264, 476, 271, 634, 1297, 540, 2081, 562, 666, 581, 6719, 607, 519, 2040, 540, 476, 273, 10945, 692, 2467 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2623, 1143, 267, 26256, 527, 13659, 543, 4020, 13659, 1185, 1044, 2919, 267, 1991, 547, 519, 1699, 1505, 938, 2729, 616, 6896, 267, 1317, 540, 2029, 269, 13961, 655, 839, 23083, 513, 4195, 3069, 540, 1565, 4470, 593, 519, 1007, 1480, 2783, 281, 4045, 13659, 269, 769, 713, 1413, 693, 267, 1702, 568, 4092, 538, 1004, 543, 3457, 563, 13981, 543, 1620, 1964, 593, 3309, 8369, 689, 1896, 2959, 269, 4804, 3587, 513, 5650, 585, 8220, 9136, 540, 1344, 269, 8617, 1565, 568, 2356, 9738, 676, 3274, 14637, 17066, 269, 22996, 12398, 4296, 1063, 1114, 2093, 267, 4610, 540, 1353, 267, 543, 2596, 3741, 269, 9861, 1699, 568, 540, 5393, 1271, 2956, 269, 1656, 3375, 6194, 568, 2731, 513, 1565, 5650, 267, 2495, 7446, 1018, 547, 4487, 543, 2348, 519, 2702, 547, 4308, 609, 519, 13346, 4162, 540, 1344, 269, 4841, 1590, 2490, 883, 6899, 609, 519, 4641, 602, 1018, 568, 9833, 607, 2953, 2221, 1522, 581, 7318, 4636, 1524, 519, 4155, 563, 1607, 3069, 540, 1565, 4564, 513, 5458, 6521, 538, 3206, 281, 602, 1565, 568, 711, 606, 1808, 13287, 267, 2943, 568, 513, 10319, 267, 6422, 543, 2760, 268, 2056, 2534, 630, 306, 22044, 839, 267, 476, 1220, 276, 1040, 769, 700, 4916, 267, 519, 5816, 543, 519, 530, 5942, 814, 1831, 513, 4241, 10319, 1565, 3926, 269, 769, 513, 18500, 8551, 4928, 267, 1053, 711, 15042, 1175, 2638, 856, 513, 1433, 267, 17492, 930, 20202, 5991, 1774, 14391, 725, 267, 543, 4865, 835, 27408, 8584, 6066, 5717, 19430, 676, 519, 4116, 269, 13298, 267, 1053, 5299, 16077, 3842, 513, 1357, 3730, 4199, 883, 513, 2262, 16267, 543, 14391, 622, 25274, 267, 5329, 741, 1880, 960, 593, 14350, 11262, 6167, 4353, 8991, 3201, 590, 2207, 22494, 645, 4785, 3965, 4388, 563, 4407, 930, 6267, 1865, 513, 6429, 1927, 609, 519, 4116, 267, 824, 11570, 616, 1863, 547, 5816, 16555, 585, 519, 1888, 540, 11913, 5188, 610, 1585, 824, 4690, 3330, 519, 1641, 2173, 2660, 2139, 269, 22582, 267, 12964, 6643, 9708, 616, 9648, 782, 693, 2899, 543, 519, 4116, 3274, 814, 5279, 540, 835, 269, 634, 7589, 3902, 540, 1053, 814, 8854, 909, 543, 2852, 1053, 2132, 547, 707, 5816, 1310, 2852, 547, 3136, 741, 1880, 13972, 269, 22996, 1867, 519, 1249, 602, 6643, 998, 5816, 3123, 873, 547, 581, 811, 31659, 543, 2943, 1134, 5483, 1317, 540, 519, 13385, 513, 6101, 14245, 5057, 547, 519, 4928, 6643, 563, 1103, 835, 7521, 267, 519, 1297, 540, 1592, 902, 2968, 4061, 7928, 936, 519, 2110, 1974, 540, 707, 1648, 602, 519, 11207, 1863, 5816, 3101, 1489, 9505, 1524, 519, 2272, 585, 519, 2601, 602, 2534, 729, 2147, 547, 513, 16160, 5907, 10880, 593, 519, 5816, 2985, 7746, 269, 589, 530, 5942, 21528, 1776, 18500, 8551, 1576, 568, 1373, 8246, 547, 1921, 2852, 1053, 547, 519, 7820, 5108, 538, 824, 2477, 899, 3162, 9705, 269, 4841, 2542, 26768, 4634, 902, 723, 3255, 547, 2671, 741, 1880, 4030, 609, 1866, 4947, 689, 1472, 519, 2136, 2829, 540, 13314, 543, 1256, 538, 3486, 2477, 563, 26452, 824, 3255, 2039, 689, 519, 946, 540, 27699, 312, 14154, 585, 17167, 6954, 7125, 1472, 519, 1158, 547, 1585, 824, 4448, 5049, 543, 3728, 6835, 3850, 1863, 27322, 267, 29577, 6643, 593, 3584, 540, 1353, 269, 1656, 538, 513, 14579, 12910, 11659, 4928, 267, 6643, 543, 27215, 760, 1949, 1450, 1053, 547, 2259, 741, 2034, 1893, 11601, 609, 741, 14357, 267, 609, 1142, 824, 267, 607, 1134, 607, 609, 1053, 3544, 519, 1362, 269, 634, 4245, 568, 602, 519, 1148, 540, 9316, 814, 1100, 6302, 2221, 269, 1306, 1134, 607, 2230, 616, 1100, 3476, 519, 9993, 789, 941, 538, 519, 2250, 543, 519, 1305, 540, 4066, 998, 713, 3296, 1175, 29565, 2583, 519, 1283, 540, 1018, 568, 2139, 563, 4517, 899, 519, 1565, 3069, 540, 4045, 13659, 2798, 856, 267, 713, 607, 1134, 786, 1689, 269, 4065, 1590, 1491, 4063, 543, 5965, 1053, 547, 3035, 606, 1604, 602, 29263, 538, 5698, 15029, 7683, 4657, 543, 2810, 519, 2645, 602, 1489, 713, 269, 6478, 14409, 543, 1290, 19397, 1280, 5756, 693, 713, 1448, 267, 1382, 814, 1044, 5342, 1369, 519, 1198, 8360, 4393, 568, 9849, 1603, 5759, 585, 1053, 269, 769, 513, 476, 1960, 278, 1353, 267, 15083, 8725, 543, 654, 573, 17507, 13712, 513, 9645, 26430, 540, 960, 827, 713, 1888, 1369, 741, 1382, 1353, 602, 8947, 476, 274, 6113, 1362, 1053, 1210, 2262, 524, 16476, 585, 1603, 563, 5445, 3357, 547, 519, 3932, 538, 741, 1367, 1353, 602, 946, 540, 8360, 21932, 799, 941, 11593, 2139, 547, 1053, 543, 941, 513, 3710, 2987, 851, 540, 741, 3232, 2238, 3366, 547, 14320, 1283, 2298, 543, 4320, 540, 1603, 607, 3379, 547, 513, 2147, 20194, 1895, 1510, 1569, 543, 1489, 17640, 547, 971, 3937, 630, 1960, 278, 1040, 27870, 513, 811, 2487, 12007, 1353, 267, 519, 13345, 540, 2262, 524, 16476, 609, 1896, 476, 274, 6113, 2298, 1053, 593, 519, 3670, 3018, 1974, 8507, 538, 3648, 811, 5499, 267, 811, 3573, 543, 4824, 2511, 563, 1607, 1353, 540, 476, 276, 6690, 543, 1079, 8695, 849, 4080, 2362, 8404, 547, 960, 609, 519, 1603, 5650, 607, 3379, 547, 1957, 543, 15513, 2409, 630, 6826, 1188, 1299, 674, 5930, 8725, 267, 476, 1220, 274, 1040, 769, 700, 4916, 267, 14732, 8055, 5359, 602, 2852, 1053, 616, 811, 5461, 950, 1210, 1362, 4055, 24195, 269, 634, 5640, 1491, 5413, 540, 519, 16134, 540, 946, 547, 13861, 1257, 5048, 547, 1397, 1114, 4845, 3889, 269, 2755, 891, 2010, 540, 2090, 6157, 1448, 547, 2799, 1603, 7274, 543, 2298, 689, 4195, 1053, 267, 3408, 849, 5267, 602, 1762, 10453, 991, 547, 581, 21947, 609, 1688, 25740, 1565, 607, 1134, 267, 799, 814, 1044, 513, 1448, 540, 5188, 585, 930, 942, 563, 288, 890, 823, 676, 7195, 1690, 20321, 1696, 2048, 338, 2798, 856, 602, 1053, 7287, 513, 3309, 6721, 1995, 799, 2262, 21932, 1058, 581, 851, 540, 519, 1995, 2864, 982, 13868, 1688, 25740, 960, 630, 25911, 1690, 20321, 267, 5062, 11390, 1597, 344, 267, 1299, 30086, 527, 793, 7637, 267, 476, 2735, 277, 1040, 2060, 713, 11095, 1377, 267, 519, 1585, 2645, 547, 1205, 1603, 4755, 547, 581, 1034, 2500, 5497, 585, 6267, 950, 789, 616, 1031, 538, 513, 3710, 2987, 1935, 1247, 1210, 2949, 3872, 1982, 2864, 982, 6026, 10446, 630, 21547, 6635, 11037, 267, 476, 2735, 279, 1916, 2467, 616, 1382, 602, 1459, 2370, 610, 1100, 2360, 540, 2165, 21932, 585, 519, 2298, 540, 2875, 6721, 267, 2705, 2073, 513, 13849, 20400, 538, 476, 1960, 274, 4951, 602, 891, 1382, 4043, 547, 723, 1896, 7687, 711, 519, 2547, 602, 568, 519, 6165, 540, 1257, 2861, 4082, 21932, 2864, 982, 519, 8641, 673, 14871, 28497, 630, 294, 21397, 264, 1949, 1031, 2221, 269, 769, 1840, 2073, 519, 2079, 7000, 602, 713, 2186, 540, 2090, 4749, 4125, 6267, 945, 723, 26742, 19631, 1569, 547, 519, 2029, 543, 941, 711, 12913, 609, 519, 1907, 630, 289, 836, 1068, 5937, 992, 985, 267, 476, 1960, 274, 1916, 763, 1184, 540, 1565, 1603, 568, 5393, 1271, 543, 972, 568, 2079, 602, 10525, 875, 1445, 593, 1603, 6791, 9797, 10607, 2875, 10781, 2066, 519, 6437, 269, 5675, 3414, 519, 15099, 18697, 723, 936, 8938, 1296, 540, 3318, 2259, 543, 23278, 4973, 2963, 547, 5351, 713, 1533, 269, 16200, 1382, 814, 1044, 2182, 547, 2097, 676, 267, 2705, 2073, 547, 2731, 2963, 519, 2164, 269, 2290, 540, 519, 7887, 6188, 15297, 568, 519, 2702, 547, 5963, 4865, 513, 2178, 1852, 1895, 585, 3592, 1022, 1353, 607, 971, 1131, 991, 513, 2551, 540, 1053, 945, 849, 1705, 711, 1118, 946, 540, 1603, 607, 851, 540, 741, 1565, 1184, 630, 305, 5661, 3724, 267, 476, 1220, 275, 1916, 15703, 2090, 723, 1044, 4625, 2111, 547, 2703, 2318, 2360, 269, 10738, 513, 476, 1960, 273, 4983, 267, 11709, 19395, 729, 2111, 547, 3313, 602, 1153, 17253, 3646, 593, 1957, 21661, 519, 23527, 538, 2947, 1647, 3506, 936, 513, 2947, 1032, 1974, 8507, 538, 1732, 1603, 543, 1732, 2698, 2875, 9740, 593, 11974, 630, 1960, 272, 1040, 1548, 649, 1058, 723, 4362, 1898, 538, 700, 4916, 1058, 581, 547, 723, 10453, 2328, 5781, 543, 538, 513, 3099, 540, 3029, 1519, 530, 1731, 529, 543, 21075, 2059, 609, 2262, 21932, 269, 1284, 1616, 547, 4063, 1934, 602, 649, 814, 547, 581, 6297, 827, 7311, 1382, 602, 568, 2025, 267, 543, 930, 540, 621, 666, 581, 796, 28300, 762, 563, 763, 2029, 2645, 540, 2221, 616, 5393, 1114, 982, 2899, 5904, 1101, 9411, 3872, 5238, 269, 1306, 606, 1383, 267, 519, 2165, 4393, 3408, 689, 519, 5216, 625, 949, 711, 581, 7357, 13061, 267, 2705, 519, 3301, 811, 5063, 12217, 865, 2370, 11696, 28917, 547, 519, 3301, 538, 519, 3735, 5216, 625, 269, 769, 1840, 2073, 2799, 2875, 630, 663, 4116, 264, 23440, 609, 891, 2645, 786, 849, 723, 606, 1198, 593, 519, 1764, 891, 2645, 1331, 593, 10781, 269, 589, 1883, 13214, 568, 968, 1692, 798, 649, 2268, 519, 1764, 540, 2645, 602, 1689, 3976, 3533, 602, 676, 519, 942, 596, 2268, 741, 1880, 1764, 267, 519, 1585, 2645, 723, 4957, 888, 1103, 824, 1913, 267, 676, 519, 942, 1034, 2090, 2944, 630, 663, 3370, 538, 968, 516, 1584, 762, 2959, 1070, 519, 2029, 814, 4957, 513, 1390, 4308, 602, 519, 1382, 19380, 676, 2547, 1896, 540, 922, 10083, 269, 901, 786, 6157, 581, 513, 1713, 19224, 548, 547, 14710, 269, 769, 513, 3102, 9263, 24595, 3948, 267, 10854, 1068, 5937, 992, 985, 13401, 1776, 13849, 20400, 609, 15049, 2917, 543, 12070, 330, 8657, 593, 519, 1764, 540, 6721, 2066, 519, 3292, 538, 476, 1220, 275, 269, 901, 2079, 267, 799, 11117, 476, 4366, 1382, 267, 3812, 1614, 2101, 8753, 269, 3689, 267, 13629, 585, 1565, 3812, 2318, 2360, 593, 6280, 9740, 3330, 519, 2090, 12649, 563, 763, 2034, 29466, 729, 602, 3446, 2157, 267, 8090, 829, 2534, 267, 543, 21882, 12987, 3893, 1713, 3310, 593, 2164, 269, 634, 2079, 1336, 602, 3292, 8045, 538, 24110, 476, 277, 16357, 279, 538, 1249, 1185, 4389, 12644, 267, 4440, 1813, 547, 519, 2530, 540, 942, 593, 519, 811, 21630, 1543, 4988, 693, 519, 3063, 1377, 269, 7043, 518, 4247, 11338, 20158, 2360, 5310, 547, 1205, 2147, 1974, 23061, 4145, 543, 14820, 2152, 1851, 1053, 269, 634, 6165, 540, 1603, 3340, 7282, 1053, 685, 1699, 24300, 543, 11605, 941, 3833, 2500, 1247, 3340, 585, 2123, 21882, 4951, 1100, 1198, 269, 6271, 4466, 7255, 519, 3259, 540, 2126, 563, 763, 2079, 7000, 519, 3593, 7888, 3932, 602, 1053, 609, 3476, 1995, 540, 1603, 5497, 585, 1565, 12485, 1995, 513, 19469, 1764, 602, 568, 11212, 2318, 630, 1220, 275, 1040, 634, 1382, 5170, 2221, 543, 568, 2938, 538, 513, 1957, 3370, 538, 4065, 10432, 593, 4924, 1547, 476, 1691, 267, 476, 1220, 278, 267, 1141, 519, 13780, 4204, 10495, 540, 12409, 26094, 814, 1044, 7796, 7627, 513, 3059, 1449, 547, 1205, 12570, 6721, 269, 901, 7903, 17767, 519, 1382, 602, 568, 27109, 875, 2852, 1053, 2328, 811, 1419, 267, 540, 1732, 2298, 267, 543, 609, 606, 2333, 540, 11007, 630, 24992, 1312, 25469, 264, 950, 1210, 891, 5686, 540, 1603, 3937, 563, 4517, 3119, 2164, 616, 11744, 602, 2852, 1053, 4043, 547, 1711, 1732, 1369, 519, 4255, 1247, 1210, 519, 2262, 16267, 13863, 630, 290, 24170, 27895, 267, 476, 1220, 278, 1040, 1548, 1223, 581, 6537, 689, 891, 2090, 568, 602, 1603, 267, 1373, 606, 3742, 1565, 1184, 267, 814, 1044, 3254, 547, 7561, 1764, 20194, 9740, 538, 1169, 1641, 2127, 269, 898, 568, 849, 7150, 602, 1053, 945, 723, 15792, 946, 540, 2262, 4393, 538, 14966, 609, 5578, 995, 6044, 1369, 513, 1153, 602, 949, 581, 10771, 5675, 21661, 519, 23527, 666, 581, 21230, 4397, 547, 1020, 2362, 9740, 2164, 269, 20873, 1359, 11473, 454, 1103, 2185, 3657, 2356, 1857, 3506, 267, 513, 1353, 729, 5342, 593, 519, 7145, 540, 2136, 5769, 18297, 3381, 538, 5885, 476, 277, 628, 998, 476, 279, 628, 3446, 6128, 9740, 269, 4841, 941, 840, 543, 2022, 2389, 6479, 547, 1683, 519, 2707, 1239, 5497, 585, 519, 1353, 799, 538, 2490, 7000, 602, 519, 8097, 1895, 1210, 10889, 1359, 3381, 1685, 1732, 519, 1852, 1895, 676, 3274, 476, 275, 269, 1896, 2600, 1063, 15795, 2298, 1053, 269, 901, 2186, 540, 11186, 729, 3254, 547, 581, 19250, 1713, 269, 661, 12915, 3446, 6267, 4951, 513, 1454, 811, 16434, 3888, 618, 11033, 593, 707, 476, 273, 2600, 5413, 799, 538 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 589, 1715, 6733, 693, 4208, 7464, 5153, 15948, 338, 6056, 267, 18461, 267, 543, 2920, 519, 10158, 1284, 1684, 257, 676, 13723, 9410, 12538, 883, 519, 5626, 3344, 540, 2848, 653, 13873, 11856, 267, 1247, 834, 763, 12829, 5153, 26967, 281, 18599, 17778, 547, 513, 13245, 7731, 257, 676, 27050, 700, 269, 20958, 2488, 4052, 5796, 585, 10188, 519, 10848, 540, 20762, 3885, 780, 6962, 1384, 17556, 653, 1861, 532, 4564, 513, 14785, 2943, 14053, 20089, 602, 7125, 2390, 2848, 653, 1861, 338, 547, 3635, 9639, 267, 6043, 267, 543, 8296, 269, 3414, 6857, 4674, 267, 2500, 2792, 267, 543, 2620, 1620, 267, 2848, 653, 1861, 338, 666, 1628, 6209, 7554, 609, 741, 1900, 18244, 267, 5807, 10103, 543, 8788, 1369, 20762, 3885, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 19185, 585, 24321, 2969, 26358, 269, 3883, 4558, 585, 17265, 543, 10992, 2835, 856, 840, 1790, 21332, 454, 763, 21869, 648, 540, 22419, 10163, 1141, 596, 786, 1265, 7734, 513, 28985, 454, 4002, 589, 7246, 313, 2177, 1315, 918, 18853, 4041, 1299, 30633, 476, 273, 7913, 454, 7224, 12069, 1315, 2835, 454, 19185, 585, 24321, 2969, 26358, 269, 3883, 4558, 585, 17265, 543, 10992, 2835, 856, 840, 1790, 21332, 454, 4002, 589, 7246, 313, 2177, 1315, 918, 18853, 4041, 1299, 30633, 476, 273, 7913, 454, 7224, 12069, 1315, 2835, 454, 5970, 1187, 2542, 2835, 693, 2835, 513, 2929, 454, 288, 1390, 5542, 540, 2835, 1175, 585, 596, 269, 1452, 16805, 4589, 723, 1500, 2139, 10643, 602, 786, 765, 339, 707, 14031, 563, 763, 15937, 19024, 1299, 24883, 25028, 10183, 616, 2139, 593, 3911, 1662, 6919, 269, 901, 568, 513, 4960, 547, 1205, 1250, 1433, 267, 2059, 609, 2835, 689, 1082, 824, 1390, 4589, 267, 693, 513, 10958, 865, 596, 666, 1205, 1318, 547, 2542, 563, 2791, 616, 538, 585, 606, 3078, 11878, 689, 891, 4589, 607, 789, 16436, 596, 547, 1491, 851, 538, 741, 13319, 563, 5472, 6168, 26135, 454, 10976, 2207, 476, 736, 21398, 10498, 306, 9215, 8863, 302, 5308, 292, 20978, 454, 3008, 298, 11123, 589, 11555, 26177, 30505, 312, 454, 21837, 729, 519, 932, 4923, 3220, 821, 269, 1261, 9894, 333, 1405, 3442, 547, 581, 621, 269, 1261, 729, 6074, 563, 21837, 1185, 513, 6505, 2104, 269, 1261, 729, 10995, 267, 6010, 762, 267, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 17556, 653, 1861, 532, 257, 607, 851, 540, 834, 28765, 22723, 13493, 1315, 7731, 1315, 2349, 2105, 19198, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 8080, 547, 938, 3460, 998, 519, 4241, 1158, 540, 5036, 543, 2338, 256, 4653, 267, 649, 786, 4685, 2620, 883, 29039, 2338, 1107, 1346, 2898, 2338, 596, 946, 1169, 1554, 547, 1293, 1919, 899, 13212, 267, 2835, 267, 610, 2828, 269, 5620, 596, 2479, 11074, 547, 1589, 827, 1018, 891, 2338, 2731, 1611, 286, 2913, 781, 1265, 856, 1927, 2439, 5331, 596, 723, 513, 2462, 9126, 2407, 540, 1114, 27371, 1107, 2699, 267, 4544, 267, 3039, 267, 543, 5835, 269, 1411, 1522, 1616, 547, 917, 875, 1082, 27371, 972, 616, 538, 2698, 267, 7488, 540, 741, 2681, 269, 1677, 4137, 713, 856, 267, 596, 666, 3274, 1376, 10203, 873, 835, 676, 835, 2394, 596, 2196, 856, 540, 27371, 269, 2334, 3803, 1297, 596, 2161, 16965, 610, 2328, 1524, 568, 1572, 519, 29039, 1297, 540, 707, 18899, 4015, 269, 898, 4564, 519, 7274, 610, 2450, 540, 519, 1305, 540, 27371, 780, 3086, 267, 1577, 781, 1491, 621, 909, 513, 711, 577, 269, 5994, 2348, 1896, 11435, 4904, 609, 1585, 3615, 971, 607, 11442, 6517, 267, 31119, 267, 22796, 267, 21971, 619, 267, 3092, 1421, 1175, 899, 519, 3239, 2630, 1384, 314, 15862, 6609, 281, 589, 4605, 6029, 2947, 11435, 13042, 1412, 11321, 7632, 3299, 1412, 307, 1195, 23663, 3299, 1412, 291, 565, 3149, 3299, 1412, 303, 523, 15078, 3299, 543, 1412, 292, 6652, 619, 8339, 3962, 9126, 3568, 3875, 3688, 269, 6540, 2414, 1174, 519, 2698, 1297, 540, 1367, 3688, 2066, 782, 891, 11435, 267, 596, 1223, 4019, 519, 1482, 10203, 1505, 855, 1131, 991, 547, 1832, 3950, 540, 1141, 596, 2451, 1055, 1142, 942, 596, 6467, 1063, 11435, 269, 901, 1184, 949, 1205, 7294, 3728, 256, 1717, 267, 952, 596, 2907, 917, 519, 29039, 1297, 540, 1142, 5094, 9126, 267, 4946, 873, 909, 3587, 1454, 12863, 269, 1280, 1383, 267, 952, 3057, 7632, 814, 476, 3374, 4773, 267, 23625, 23663, 814, 476, 1626, 267, 26541, 3149, 814, 476, 278, 267, 6755, 15078, 814, 476, 3393, 267, 543, 661, 6652, 619, 814, 476, 2420, 267, 1287, 596, 1152, 991, 547, 1039, 1346, 29039, 2338, 2899, 547, 3313, 519, 6264, 2698, 281, 476, 3374, 1341, 476, 1626, 1341, 476, 278, 1341, 476, 3393, 1341, 476, 2420, 815, 476, 10219, 269, 1656, 642, 11798, 14504, 267, 596, 1631, 917, 519, 5916, 29039, 1297, 8204, 519, 3003, 4015, 2439, 1103, 6128, 267, 2523, 950, 7231, 609, 1305, 3069, 267, 1620, 29039, 2338, 4249, 513, 2629, 1909, 269, 1358, 948, 721, 4766, 519, 7306, 540, 2516, 543, 5512, 2653, 16198, 1063, 10070, 269, 3807, 4952, 3843, 547, 5635, 519, 5666, 540, 31496, 538, 1079, 30660, 1510, 1373, 2111, 547, 3651, 513, 1297, 547, 1142, 1895, 1107, 3833, 4101, 256, 9315, 1400, 2338, 14458, 713, 4305, 543, 1930, 9885, 547, 4514, 6310, 2035, 780, 3383, 3314, 267, 8164, 596, 7237, 513, 3510, 8506, 596, 547, 1293, 610, 22945, 1945, 267, 1589, 1394, 547, 938, 14952, 748, 7045, 3695, 29039, 2338, 256, 4197, 873, 1732, 1797, 30196, 1007, 2081, 540, 3168, 693, 519, 1158, 1472, 721, 267, 1818, 2631, 540, 922, 6988, 1247, 19825, 519, 5898, 540, 16134, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 28494, 6312, 1470, 3613, 24780, 30704, 640, 540, 6211, 1570, 9988, 454, 289, 10157, 12713, 514, 26197, 4320, 476, 1556, 267, 9137, 1297, 281, 476, 29579, 630, 1001, 271, 994, 4415, 519, 11179, 2810, 7569, 593, 1702, 268, 543, 1239, 31193, 602, 12240, 723, 547, 2743, 267, 23835, 3098, 543, 519, 6436, 540, 30704, 640, 789, 946, 1831, 811, 543, 811, 1271, 269, 10251, 267, 4867, 1031, 6436, 543, 14565, 540, 30704, 640, 11032, 947, 3320, 3970, 519, 2773, 540, 23835, 3098, 1813, 547, 1079, 28919, 281, 630, 328, 264, 789, 798, 711, 1450, 519, 5610, 540, 2789, 30704, 640, 5380, 883, 835, 30704, 640, 5943, 282, 630, 4512, 264, 789, 616, 711, 10858, 547, 19469, 268, 6247, 26623, 1947, 6896, 1570, 9988, 267, 799, 3382, 1034, 540, 519, 24118, 1570, 9988, 563, 763, 1657, 5018, 28919, 616, 3743, 585, 519, 2101, 29927, 538, 4867, 1031, 22883, 1470, 3613, 24780, 30704, 640, 14565, 269, 1635, 1210, 519, 9978, 31131, 13115, 1108, 630, 289, 23859, 264, 607, 513, 1283, 7400, 23835, 1108, 543, 3223, 564, 781, 2489, 3069, 540, 30704, 640, 267, 513, 30704, 640, 5943, 568, 4843, 602, 568, 10858, 547, 24140, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 25205, 1400, 10606, 257, 607, 851, 540, 834, 21316, 30388, 1315, 5590, 7869, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 769, 519, 1353, 540, 4984, 543, 6805, 27403, 267, 621, 781, 1898, 547, 4983, 519, 2078, 1063, 3909, 5931, 543, 4207, 2152, 269, 901, 1576, 1770, 786, 5490, 883, 519, 1523, 540, 834, 307, 528, 1695, 585, 8866, 2437, 8220, 621, 547, 6626, 4798, 971, 607, 519, 1764, 540, 2797, 6384, 593, 3909, 17119, 1143, 543, 519, 1909, 540, 10723, 5931, 538, 5935, 1453, 781, 5380, 269, 1284, 786, 849, 2263, 875, 891, 3584, 12969, 609, 1699, 2621, 543, 14046, 1382, 780, 763, 22560, 267, 17194, 781, 13654, 1257, 267, 6585, 10373, 4644, 585, 6014, 2950, 5001, 269, 1280, 3214, 267, 2502, 609, 519, 22560, 666, 581, 1312, 24084, 2287, 543, 4101, 1813, 547, 922, 6988, 543, 3140, 2796, 269, 834, 307, 528, 1695, 585, 8866, 257, 6663, 547, 1459, 2085, 29003, 12496, 602, 6536, 7279, 543, 5289, 2208, 1247, 8716, 5837, 2418, 543, 5683, 2623, 269, 1635, 6313, 713, 1935, 267, 649, 2832, 547, 1174, 875, 10723, 5931, 3310, 1762, 8186, 543, 3337, 741, 11994, 540, 519, 1158, 1472, 873, 780, 303, 11823, 18868, 543, 16241, 6987, 8145, 1143, 692, 2414, 9787, 519, 6286, 540, 834, 307, 528, 1695, 585, 8866, 2437, 1577, 721, 1101, 8495, 519, 3095, 1063, 2797, 6384, 543, 3909, 17119, 1143, 269, 1306, 12006, 538, 938, 6679, 1349, 267, 1585, 5359, 723, 11329, 856, 519, 4276, 1063, 1533, 13384, 11208, 540, 4909, 626, 19237, 543, 519, 4473, 540, 17119, 1143, 269, 13018, 267, 519, 3864, 12057, 17019, 519, 1909, 540, 654, 1695, 4725, 328, 4149, 531, 2378, 1143, 30867, 16600, 15926, 969, 894, 7664, 540, 5771, 24568, 30740, 2518, 18483, 269, 1717, 267, 621, 8959, 547, 2232, 519, 23786, 2188, 7700, 547, 519, 3262, 540, 713, 16809, 269, 4595, 519, 12019, 2782, 5736, 267, 5375, 7060, 6462, 28974, 20816, 538, 519, 5664, 5101, 267, 799, 267, 538, 2490, 267, 1031, 741, 5318, 2200, 547, 29608, 15061, 3909, 10752, 269, 1452, 10752, 1419, 15091, 21055, 12496, 540, 13411, 5931, 267, 3056, 930, 13794, 1524, 513, 2619, 4724, 5208, 543, 22166, 780, 14399, 3395, 909, 896, 891, 7506, 1522, 4835, 1125, 3665, 5784, 693, 606, 2038, 2085, 267, 1818, 873, 811, 11630, 547, 8508, 10795, 19237, 2663, 538, 1272, 269, 9182, 267, 9301, 543, 5466, 519, 1950, 5872, 1063, 6214, 543, 3909, 2069, 3587, 2629, 538, 7303, 519, 9097, 1436, 540, 2104, 5481, 780, 305, 1961, 540, 29042, 31157, 538, 1744, 12686, 5753, 781, 21126, 692, 306, 659, 1042, 5931, 899, 519, 22560, 4196, 607, 7944, 18429, 585, 2679, 5132, 267, 13919, 267, 543, 3961, 1851, 6107, 269, 1358, 1683, 4245, 267, 1612, 1963, 267, 543, 5583, 602, 948, 25666, 4978, 543, 1871, 1949, 269, 1879, 4843, 14013, 267, 891, 5931, 666, 8300, 6568, 267, 8296, 267, 543, 2463, 585, 4763, 269, 10251, 267, 789, 949, 849, 1831, 2645, 585, 5009, 6498, 267, 13842, 267, 543, 7130, 952, 3765, 4310, 610, 3144, 856, 540, 2796, 780, 2690, 3236, 267, 1978, 18627, 1369, 519, 22560, 1223, 5732, 581, 14648, 538, 2081, 602, 5000, 14882, 610, 17181, 776, 2853, 269, 9752, 3214, 827, 891, 15102, 3340, 6297, 7156, 543, 13857, 3137, 547, 2057, 5807, 5739, 8456, 269, 5047, 267, 7855, 1590, 3666, 9306, 2352, 5396, 609, 3246, 15260, 584, 1734, 602, 12927, 2318, 6835, 11251, 2429, 519, 1257, 780, 11328, 21827, 609, 7351, 15638, 543, 7647, 8765, 3194, 692, 13146, 13685, 540, 24431, 655, 12792, 6285, 543, 2799, 26445, 5031, 519, 14849, 991, 547, 3895, 8537, 12496, 540, 3909, 5931, 269, 5525, 1397, 602, 4598, 547, 3309, 16752, 6971, 11830, 2772, 21274, 543, 7512, 2565, 3206, 1983, 630, 303, 9116, 580, 4319, 1299, 18858, 653, 267, 476, 1220, 277, 1040, 4935, 267, 6220, 2789, 5380, 1369, 834, 307, 528, 1695, 585, 8866, 257, 21195, 666, 3565, 3648, 547, 25559, 532, 1761, 12886, 543, 3384, 1930, 16490, 1145, 1851, 1762, 6267, 780, 13010, 267, 5640, 8044, 602, 16042, 3909, 5931, 998, 513, 7828, 540, 1514, 5126, 8992, 4656, 540, 11528, 31716, 543, 26182, 17933, 630, 298, 612, 2401, 267, 476, 1001, 279, 1040, 23889, 5717, 4478, 14619, 267, 7862, 267, 543, 2146, 6278, 1369, 834, 307, 528, 1695, 585, 8866, 257, 666, 7668, 1453, 547, 4019, 741, 1565, 3564, 2123, 20174, 267, 6038, 5807, 3743, 15114, 16135, 538, 3909, 3741, 780, 6962, 692, 8139 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16783, 609, 519, 3106, 851, 540, 519, 21069, 8943, 593, 6765, 563, 309, 525, 17632, 3710, 1354, 5130, 476, 272, 267, 476, 1001, 278, 1590, 16783, 609, 519, 3106, 851, 540, 519, 21069, 8943, 676, 519, 1101, 13591, 610, 25430, 5619, 267, 627, 31295, 2501, 1101, 267, 1310, 5130, 476, 272, 267, 476, 1001, 279, 563, 763, 3106, 851, 540, 519, 8943, 2882, 1374, 267, 4070, 267, 3937, 267, 5106, 267, 2866, 267, 3406, 543, 15063, 4170, 1644, 547, 519, 1761, 10898, 540, 5665, 538, 8701, 4525, 267, 1519, 4672, 267, 1121, 582, 8864, 543, 4049, 543, 6385, 4657, 4365, 2175, 269, 898, 568, 2854, 2687, 547, 519, 6859, 543, 2488, 1312, 6198, 4170, 543, 2143, 4170, 563, 763, 2825, 851, 540, 519, 21069, 8943, 10039, 547, 782, 8043, 14468, 538, 13076, 609, 1323, 10811, 525, 594, 267, 4083, 267, 10001, 543, 966, 540, 27107, 303, 5357, 6606, 269, 1401, 12371, 543, 1007, 8043, 14468, 896, 27107, 303, 5357, 1590, 16783, 609, 2825, 4170, 676, 5130, 476, 272, 267, 476, 1001, 278, 269, 901, 1797, 602, 10068, 8043, 630, 6518, 4163, 27107, 303, 5357, 22783, 264, 786, 849, 723, 547, 16783, 609, 519, 2825, 851, 540, 519, 3009, 267, 4352, 789, 798, 711, 723, 25663, 3008, 22783, 563, 290, 548, 15201, 22778, 807, 1443, 2478, 593, 5533, 6604, 454, 290, 548, 15201, 22778, 807, 814, 5423, 5583, 593, 519, 5533, 6604, 4170, 540, 519, 21069, 8943, 269, 7102, 11166, 540, 3282, 610, 522, 1176, 1216, 568, 19275, 543, 1808, 4170, 585, 519, 18635, 5532, 547, 519, 11166, 540, 16894, 2282, 519, 4672, 723, 1044, 3989, 269, 22630, 1216, 568, 711, 4988, 676, 27107, 303, 5357, 610, 519, 21069, 8943, 563, 28384, 3391, 1907, 454, 299, 331, 20477, 779, 19193, 3091, 10220, 6351, 543, 606, 7317, 3391, 1907, 585, 519, 8701, 3009, 269, 634, 8760, 2486, 4967, 602, 3487, 4083, 288, 540, 519, 3009, 3568, 4170, 602, 666, 3622, 581, 1558, 609, 4238, 593, 4604, 9635, 269, 7358, 2209, 540, 8043, 543, 21369, 7221, 538, 8701, 7297, 1058, 2327, 602, 4540, 5773, 543, 8261, 338, 616, 8242, 547, 2992, 519, 4170, 540, 519, 21069, 8943, 676, 5130, 476, 272, 267, 476, 1001, 278, 563, 2691, 12427, 3442, 547, 3888, 1007, 3937, 630, 324, 3052, 269, 1007, 17885, 11741, 832, 547, 6023, 519, 2799, 12802, 540, 17885, 593, 4604, 264, 610, 1374, 622, 1007, 13688, 547, 3180, 3282, 543, 522, 1176, 23399, 267, 13995, 949, 2154, 13995, 269, 8242, 547, 2992, 2242, 269, 19227, 267, 972, 616, 1100, 1007, 22783, 2404, 609, 10220, 609, 3487, 4083, 288, 540, 519, 3009, 585, 4540, 9635, 269, 1401, 12371, 8261, 338, 543, 5773, 666, 581, 8242, 547, 2743, 519, 10512, 4170, 540, 3487, 4083, 288, 269, 0, 763, 2845, 3455, 3650, 14854, 568, 513, 4262, 14854, 1336, 538, 519, 4095, 267, 9533, 543, 7414, 12084, 543, 538, 519, 11335, 7256, 267, 2705, 267, 519, 15693, 6532, 814, 513, 2249, 540, 2845, 3455, 3650, 14854, 602, 568, 15195, 563, 19868, 3455, 3650, 16015, 593, 519, 15693, 6532, 723, 9862, 547, 2661, 543, 16196, 538, 4195, 1216, 267, 713, 17091, 540, 4195, 1216, 729, 1360, 2487, 267, 1034, 2693, 538, 519, 1184, 602, 519, 6532, 3459, 547, 16173, 269, 901, 2249, 20555, 593, 12748, 21263, 543, 13479, 267, 922, 7387, 568, 2182, 2614, 602, 9039, 540, 519, 7068, 540, 519, 6532, 781, 25825, 666, 2736, 621, 267, 855, 519, 2881, 339, 584, 322, 12118, 1185, 513, 8945, 547, 6146, 519, 16015, 267, 609, 922, 1279, 8405, 543, 5609, 6681, 11156, 898, 666, 16173, 922, 1279, 267, 8685, 983, 2212, 883, 23761, 538, 519, 2212, 610, 17119, 885, 540, 519, 7387, 267, 12777, 1821, 28666, 519, 14854, 689, 519, 3330, 856, 267, 6028, 3297, 606, 8900, 7387, 7387, 269, 769, 1249, 267, 7064, 547, 519, 14854, 267, 519, 2551, 540, 2881, 339, 584, 322, 12118, 4667, 547, 723, 2799, 538, 519, 2063, 5553, 2094, 1354, 519, 12625, 540, 519, 2845, 3455, 3650, 16015, 593, 519, 6532, 267, 891, 11975, 10480, 593, 1507, 16015, 543, 930, 3165, 602, 789, 9575, 12212, 267, 855, 609, 741, 12625, 519, 15510, 2799, 1317, 789, 616, 1804, 10352, 543, 16196, 1360, 3533, 269, 898, 4769, 1405, 1491, 1279, 585, 519, 14854, 547, 1831, 519, 1292, 2732, 540, 713, 524, 7342, 23246, 563, 268, 634, 2845, 3455, 3650, 14854, 568, 513, 3020, 4262, 14854, 269, 0, 268, 561, 326, 343, 3607, 280, 5400, 278, 279, 14748, 32512, 18777, 353, 13644, 479, 11406, 268, 476, 1708, 272, 268, 1556, 268, 1789, 476, 9463, 495, 27747, 481, 2008, 268, 476, 274, 269, 8618, 15406, 2008, 16215, 476, 272, 4024, 5904, 581, 1031, 811, 982, 2835, 538, 519, 2104, 286, 634, 2029, 568, 4742, 811, 543, 811, 3532, 8206, 1703, 786, 581, 811, 18563, 538, 519, 2104, 563, 1432, 824, 1390, 18563, 798, 596, 917, 888, 1692, 1279, 814, 621, 1044, 1031, 888, 2005, 814, 1044, 1031, 585, 811, 982, 476, 2568, 1296, 563, 8005, 11827, 621, 888, 2005, 729, 11827, 676, 4892, 563, 2691, 729, 621, 11827, 286, 898, 729, 11827, 538, 476, 3707, 277, 269, 1684, 596, 5631, 946, 621, 547, 1353, 888, 1432, 666, 596, 798, 593, 5769, 15017, 14142, 585, 1344, 454, 23298, 609, 2828, 454, 4289, 523, 547, 519, 2575, 454, 5649, 519, 1913, 543, 7215, 10978, 569, 563, 4011, 992, 2322, 909, 3896, 13875, 1837, 454, 341, 269, 13127, 478, 509, 32512, 5405, 505, 22390, 509, 23521, 354, 13127, 376, 510, 420, 368, 368, 5405, 505, 10429, 361, 27747, 481, 454, 628, 748, 1343, 540, 2985, 5907, 2029, 0, 268, 476, 272, 1215, 666, 14590, 581, 4824, 888, 268, 476, 273, 6904, 2229, 8116, 568, 3743, 585, 6880, 3354, 888, 268, 476, 274, 4208, 568, 14590, 1271, 547, 519, 2229, 888, 268, 476, 275, 1548, 616, 519, 1806, 540, 6937, 547, 1344, 3354, 538, 979, 26404, 543, 4357, 3906, 888, 268, 476, 276, 1548, 1983, 616, 2877, 585, 14590, 888, 268, 476, 277, 1215, 666, 649, 2087, 14590, 538, 513, 2197, 888, 268, 476, 278, 5808, 27180, 6880, 6760, 888, 268, 476, 279, 1548, 568, 519, 3328, 14057, 585, 6880, 3354, 888, 268, 476, 280, 1772, 15536, 8232, 538, 3747, 888, 268, 476, 1015, 1548, 616, 519, 3268, 3144, 676, 519, 2229, 547, 3247, 6880, 6760, 888, 268, 476, 1556, 2052, 649, 3589, 513, 6880, 6760, 2864, 982, 3274, 14775, 547, 621, 888, 268, 476, 1321, 1548, 568, 2808, 513, 6880, 4323, 888, 268, 476, 1724, 1548, 568, 519, 1034, 5906, 11360, 518, 1907, 888, 268, 476, 1691, 1548, 616, 519, 2010, 540, 6937, 888, 268, 476, 1428, 1548, 616, 2010, 540, 6937, 538, 519, 9036, 888, 1692, 666, 14590, 581, 4824, 888, 2080, 616, 2947, 10372, 563, 268, 2037, 4403, 10957, 3652, 269, 16200, 18538, 616, 835, 540, 519, 1101, 3515, 540, 8878, 1996, 23563, 543, 4657, 873, 12212, 949, 948, 1832, 21190, 856, 563, 268, 22352, 5781, 563, 268, 25956, 19504, 338, 585, 782, 4296, 563, 268, 4825, 790, 782, 30694, 2533, 563, 268, 22676, 720, 4540, 3354, 3681, 563, 7617, 2229, 8116, 568, 3743, 585, 6880, 3354, 888, 763, 2817, 15536, 8232, 10406, 630, 301, 5425, 291, 264, 568, 513, 6498, 540, 519, 8433, 540, 15536, 8232, 1299, 18058, 267, 1369, 519, 2136, 2276, 4972, 540, 13067, 14657, 8232, 2048, 338, 15536, 9798, 543, 24486, 8232, 10837, 563, 3963, 568, 14590, 1271, 547, 519, 2229, 888, 24426, 828, 9798, 568, 513, 2556, 5092, 585, 2229, 8041, 269, 5303, 814, 3177, 1007, 2081, 585, 2229, 8041, 547, 960, 267, 2170, 609, 4961, 543, 2087, 2949, 4238, 563, 1432, 616, 519, 1806, 540, 6937, 547, 1344, 3354, 538, 979, 26404, 543, 4357, 3906, 888, 5415, 7044, 593, 13334, 454, 268, 20000, 8386, 4647, 6285, 563, 268, 1912, 5109, 6285, 563, 268, 20518, 3176, 24677, 6361, 28129, 630, 291, 2710, 306, 264, 6285, 563, 268, 4112, 334, 527, 20164, 563, 268, 11628, 10770, 3463, 6285, 563, 1432, 1983, 616, 2877, 585, 14590, 888, 763, 5440, 10341, 22490, 585, 15536, 9798, 22868, 454, 268, 9046, 4149, 6295, 10341, 563, 268, 14502, 589, 696, 3363, 563, 268, 11310, 540, 8232, 21661, 15316, 15107, 13257, 563, 268, 23206, 547, 5489, 841, 563, 268, 9442, 10341, 563, 268, 27284, 8950, 5983, 985, 923, 10341, 563, 268, 589, 2677, 790, 547, 6258, 563, 268, 1323, 4197, 540, 670, 22326, 563, 1692, 666, 649, 2087, 14590, 538, 513, 2197, 888, 2080, 616, 2185, 3268, 519, 2475, 666, 1491, 547, 24772, 922, 20320, 3646, 547, 2232, 14590, 6937, 563, 268, 3399, 1141, 2477, 3858, 269, 4139, 3652, 12044, 14590, 616, 15458, 267, 3226, 950, 621, 2501, 547, 6880, 268, 525, 335, 32025, 563, 268, 2037, 4289, 519, 1489, 540, 16167, 563, 268, 2142, 811, 14942, 563, 268, 4004, 6510, 5693, 563, 8005, 27180, 6880, 6760, 888, 763, 31440, 568, 519, 1291, 5313, 8116, 585, 14236, 6880, 6285, 543, 703, 6350, 687, 269, 1284, 2445, 543, 2671, 4987, 543, 4497, 609, 9601, 1247, 2324, 547, 29267, 2532, 1346, 22867, 17351, 6880, 2238, 267, 16382, 789, 616, 563, 1432, 568, 519, 3328, 14057, 585, 6880, 3354, 888, 6097, 547, 21912, 1103, 779, 1239, 267, 23269, 585, 6880, 3354, 4648, 2039, 689, 1269, 4792, 267, 1822, 547, 1269, 9873, 267, 1822, 829, 1032, 267, 609, 513, 11667, 14057, 540, 1269, 10844, 267, 1822, 12422, 563, 3674, 15536, 8232, 538, 3747, 888, 6097, 547, 634, 2475, 13163, 540, 8534, 10803, 685, 6176, 8232, 8890, 560, 779, 31326, 267, 14590, 6009, 616, 1851, 519, 16595, 21212, 4876, 2127, 25422, 269, 634, 645, 11862, 25221, 14590, 6009, 786, 1332, 476, 4029, 260, 998, 476, 1708, 280, 267, 936, 5722, 2053, 5488, 982, 519, 3084, 3328, 2816, 2208, 540, 476, 275, 18336, 1432, 616, 519, 3268, 3144, 676, 519, 2229, 547, 3247, 6880, 6760, 888, 3721, 338, 3144, 676, 519, 6554, 547, 3262, 4656, 827, 6880, 10963, 281, 6732, 6880, 13062, 830, 8989, 22045, 814, 1044, 9250, 547, 5512, 29153, 1218, 547, 1867, 20286, 17640, 547, 4132, 623, 1941, 2762, 270, 21609, 20351, 18816, 7698, 267, 22149, 17320, 836, 22149, 4337, 7685, 610, 16770, 8763, 1543, 563, 4692, 649, 3589, 513, 6880, 6760, 2864, 982, 3274, 14775, 547, 621, 888, 4692, 649, 3589, 6880, 1107, 6760, 2864, 982, 3274, 4431, 547, 621, 286, 1703, 568, 1100, 1259, 547, 3589, 1169, 2009, 3463, 269, 1717, 267, 519, 4213, 666, 581, 5423, 585, 713, 4990, 540, 7872, 269, 15536, 15928, 543, 2866, 540, 5234, 786, 1683, 519, 4027, 596, 991, 563, 1432, 568, 2808, 513, 6880, 4323, 888, 288, 6880, 4323, 568, 606, 14213, 9250, 676, 6880, 322, 3234, 10904, 1210, 835, 610, 811, 5904, 1996, 513, 2582, 610, 2789, 5904, 610, 5121, 269, 589, 6880, 4323, 666, 17351, 569, 771, 762, 5904, 267, 21102, 1239, 267, 610, 946, 513, 1786, 3737, 2780, 607, 513, 10131, 1448, 585, 824, 6285, 563, 1432, 568, 519, 1034, 5906, 11360, 518, 1907, 888, 1103, 713, 2376, 267, 649, 3580, 581, 7234, 519, 1283, 476, 1015, 5683, 28892, 2645, 11489, 476, 1708, 272, 912, 268, 3627, 519, 681, 23124, 563, 1432, 616, 519, 2010, 540, 6937, 888, 1320, 805, 338, 666, 581, 9286, 883, 2185, 1114, 6688, 282, 1463, 267, 9940, 267, 1654, 6150, 267, 19585, 269, 589, 1463, 3463, 14439, 513, 1808, 3077, 543, 568, 9447, 538, 513, 3551, 267, 2312, 267, 543, 8763, 6073, 563, 1432, 616, 2010, 540, 6937, 538, 519, 9036, 888, 15650, 540, 21784, 338, 538, 519, 31071, 454, 268, 31071, 20222, 269, 31071, 5208, 568, 3989, 607, 1022, 957, 610, 3463, 540, 2168, 5208, 267, 18275, 267, 12932, 9179, 267, 26688, 610, 17116, 7180, 602, 4523, 538, 519, 9036, 563, 268, 31071, 31421, 563, 268, 631, 9229, 21784, 338, 563, 268, 1306, 17937, 1299, 11906, 21784, 338, 269, 0, 7437, 2229, 20483, 1382, 267, 649, 917, 602, 3109, 543, 6803, 12102, 1004, 616, 693, 513, 19319, 538, 519, 9036, 269, 634, 7694, 2557, 585, 6803, 12102, 4600, 568, 1152, 1175, 1657, 476, 2568, 260, 3379, 547, 3043, 4600, 799, 568, 693, 2484, 6793, 476, 4037, 18336, 11577, 19303, 543, 17499, 21678, 10168, 11874, 5222, 593, 5234, 27907, 267, 7607, 543, 9441, 1072, 269, 1703, 616, 2705, 2081, 602, 649, 666, 948, 547, 16826, 856, 7292, 7130, 538, 519, 9036, 7498, 288, 2442, 1982, 3903, 568, 547, 2333, 519, 2039, 540, 2816, 12545, 602, 19684, 7477, 17473, 616, 11540, 547, 585, 513, 811, 3309, 543, 11727, 32358, 7535, 563, 1607, 568, 1141, 10341, 275 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1512, 263, 1320, 1348, 17107, 825, 1219, 6449, 8181, 9191, 1345, 267, 3758, 2187, 1038, 27387, 14857, 8181, 9191, 1345, 994, 1038, 1582, 8807, 6150, 3430, 25366, 284, 12803, 454, 825, 1219, 2196, 4311, 2187, 1038, 1247, 6936, 912, 2018, 513, 284, 8681, 842, 263, 272, 267, 1015, 994, 2018, 1582, 8807, 6150, 3430, 25366, 6910, 5416, 994, 2018, 3207, 263, 8681, 842, 263, 272, 267, 274, 4917, 2018, 1820, 3488, 288, 329, 719, 324, 15079, 513, 3288, 3758, 8339, 8971, 5416, 11723, 5035, 3117, 2541, 22209, 1512, 263, 1320, 1348, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 3758, 2187, 1038, 27387, 14857, 8181, 9191, 1345, 994, 1038, 1582, 8807, 6150, 3430, 25366, 815, 3758, 454, 825, 1219, 2196, 4311, 2187, 1038, 952, 7003, 4311, 8807, 6150, 3430, 25366, 264, 2525, 271, 912, 16875, 1820, 2891, 4289, 324, 2756, 5602, 1038, 3116, 912, 16875, 3207, 263, 8681, 842, 263, 272, 267, 476, 274, 4917, 16875, 1820, 3488, 8256, 558, 1889, 15079, 8339, 8971, 4311, 8807, 6150, 3430, 25366, 21014, 3890, 11723, 325, 6150, 3430, 25366, 17342, 272, 267, 274, 2639, 6112, 630, 6352, 6600, 6150, 3430, 25366, 4297, 285, 271, 912, 533, 284, 303, 28558, 22209, 1512, 6600, 6150, 3430, 25366, 994, 524, 284, 8256, 2541, 22209, 1512, 6600, 6150, 3430, 25366, 994, 533, 269, 11034, 4590, 524, 269, 11034, 4590, 0, 5814, 23094, 454, 5814, 15259, 1948, 20008, 745, 3897, 839, 328, 2317, 320, 535, 529, 1512, 592, 14241, 692, 258, 524, 872, 18054, 796, 7746, 23094, 454, 338, 21665, 12714, 815, 23094, 4732, 12714, 4433, 12714, 6993, 293, 318, 2562, 4953, 267, 23094, 2529, 8016, 298, 318, 4306, 3918, 4456, 994, 258, 1808, 320, 1309, 7746, 592, 642, 320, 678, 3121, 890, 2823, 592, 476, 6321, 278, 279, 267, 934, 525, 756, 559, 632, 890, 610, 823, 28258, 620, 7746, 592, 14241, 454, 338, 21665, 12714, 12500, 785, 263, 3488, 3299, 476, 6321, 278, 279, 4917, 258, 7746, 592, 1093, 622, 3398, 320, 598, 1410, 328, 27376, 282, 1808, 320, 3032, 328, 7817, 328, 1494, 4230, 324, 24473, 3288, 1071, 3385, 454, 338, 21665, 12714, 269, 4289, 523, 263, 276, 2020, 6112, 6936, 912, 13537, 1412, 19399, 19399, 2971, 7462, 7055, 13537, 1412, 306, 13996, 592, 10841, 738, 320, 1761, 328, 7817, 328, 25692, 453, 258, 4230, 324, 2194, 320, 598, 624, 19327, 796, 14241, 7817, 3288, 7746, 454, 453, 258, 1558, 18649, 2387, 23100, 319, 1609, 324, 1025, 665, 9017, 18092, 7218, 12714, 267, 1416, 1065, 30959, 842, 320, 23094, 268, 592, 1071, 4046, 684, 345, 1807, 7817, 592, 14241, 598, 624, 520, 454, 453, 263, 743, 1801, 12714, 267, 2232, 264, 815, 13763, 12714, 269, 23100, 4590, 13537, 1412, 306, 8584, 598, 624, 520, 796, 7817, 25692, 453, 258, 694, 605, 806, 324, 18054, 6147, 16699, 23313, 694, 3632, 652, 324, 2215, 320, 13274, 773, 632, 1257, 454, 453, 576, 516, 516, 815, 1412, 7055, 453, 4802, 773, 5719, 9359, 815, 1412, 7055, 453, 6112, 6936, 912, 453, 453, 321, 18860, 815, 7218, 12714, 269, 13440, 341, 263, 9083, 275, 994, 453, 14851, 7003, 6357, 18860, 264, 2999, 476, 272, 912, 4848, 453, 19874, 454, 453, 453, 576, 516, 516, 815, 6147, 516, 1341, 1207, 325, 19709, 13892, 4590, 453, 13537, 1412, 306, 8584, 3632, 527, 8544, 1690, 592, 281, 1422, 333, 10900, 734, 10559, 333, 262, 1341, 6147, 516, 1341, 1412, 315, 333, 10900, 19203, 7055, 453, 453, 335, 9926, 527, 773, 815, 6147, 516, 26098, 28361, 337, 14826, 5073, 453, 14851, 630, 335, 9926, 527, 773, 3436, 910, 272, 543, 13274, 773, 5719, 9359, 2652, 15234, 2187, 4848, 453, 4802, 773, 5719, 9359, 815, 6147, 516, 314, 271, 281, 335, 9926, 527, 773, 2639, 4848, 13537, 1412, 306, 8584, 3632, 527, 13274, 807, 632, 1376, 7188, 6147, 516, 281, 476, 7462, 1412, 1341, 13274, 773, 5719, 9359, 1341, 1412, 476, 7462, 7055, 4848, 453, 19874, 454, 13537, 1412, 306, 8584, 2165, 514, 520, 3632, 527, 16699, 25692, 14851, 13274, 773, 5719, 9359, 2652, 1412, 12466, 453, 453, 743, 1801, 12714, 25379, 4590, 453, 13537, 1412, 306, 8584, 2165, 514, 520, 635, 684, 545, 19327, 24140, 7817, 592, 910, 8356, 521, 8584, 2215, 527, 12137, 328, 684, 8544, 1690, 25692, 453, 453, 11666, 826, 454, 453, 258, 4612, 19327, 27205, 592, 14241, 632, 1286, 716, 699, 2387, 4802, 773, 5719, 9359, 319, 454, 453, 324, 2211, 324, 18118, 5719, 9359, 815, 13274, 773, 5719, 9359, 21858, 4590, 453, 258, 570, 7495, 302, 694, 2017, 714, 732, 454, 453, 333, 2541, 4910, 2720, 320, 290, 518, 25917, 815, 3693, 324, 18118, 5719, 9359, 314, 272, 2639, 14851, 1003, 324, 4910, 2720, 320, 290, 518, 25917, 2652, 23367, 12466, 453, 453, 333, 2541, 4910, 2720, 320, 290, 518, 25917, 815, 23367, 8161, 11258, 7055, 28768, 453, 258, 524, 1446, 320, 1609, 324, 8887, 10216, 3288, 8689, 592, 632, 3768, 324, 513, 3456, 4291, 583, 520, 7097, 592, 454, 453, 333, 2541, 293, 529, 1512, 815, 1412, 907, 270, 11666, 583, 262, 1341, 1003, 324, 4910, 2720, 320, 290, 518, 25917, 454, 28768, 453, 325, 529, 1512, 815, 7183, 454, 453, 339, 787, 912, 453, 453, 258, 964, 577, 728, 535, 529, 1512, 592, 20008, 745, 3632, 790, 538, 1110, 10822, 541, 454, 453, 453, 325, 529, 1512, 815, 1930, 3799, 2541, 293, 529, 1512, 10086, 337, 321, 17210, 453, 453, 258, 9133, 2923, 454, 453, 453, 333, 2541, 15761, 839, 773, 815, 1003, 324, 293, 529, 1512, 19559, 2541, 293, 529, 1512, 25331, 22772, 3488, 9538, 11924, 272, 281, 2639, 453, 453, 339, 760, 19441, 300, 4215, 815, 13634, 4848, 453, 262, 6255, 6447, 9166, 1412, 3667, 270, 6255, 6447, 22779, 4848, 453, 262, 322, 1087, 9166, 1412, 3667, 11305, 1087, 22779, 4848, 453, 262, 329, 338, 9166, 1412, 1952, 997, 566, 10768, 338, 22779, 4848, 453, 262, 335, 978, 9166, 1412, 13548, 9706, 978, 22779, 4848, 453, 262, 329, 17989, 9166, 1412, 13548, 10768, 701, 326, 22779, 4848, 453, 262, 329, 701, 326, 9166, 1412, 13548, 10768, 701, 326, 22779, 4848, 453, 262, 326, 604, 9166, 1412, 13548, 17320, 604, 22779, 4848, 453, 262, 4815, 9166, 1412, 13548, 24474, 268, 6625, 22779, 4848, 453, 262, 343, 6447, 9166, 1412, 1952, 997, 566, 24474, 6447, 22779, 4848, 453, 262, 329, 5459, 9166, 1412, 1952, 997, 566, 10768, 5459, 7055, 453, 453, 8679, 453, 453, 339, 760, 300, 4215, 815, 9133, 19441, 300, 4215, 10947, 3799, 2541, 15761, 839, 773, 10086, 3667, 270, 21622, 5073, 4848, 454, 453, 453, 258, 694, 16013, 924, 678, 5684, 12584, 592, 454, 453, 453, 743, 1801, 12714, 4732, 754, 718, 3488, 12487, 9143, 270, 272, 269, 272, 476, 1220, 15528, 315, 337, 14826, 5073, 453, 453, 743, 1801, 12714, 4732, 754, 718, 3488, 32098, 6441, 2654, 281, 1412, 1341, 1193, 263, 657, 14714, 520, 3799, 2541, 293, 529, 1512, 1040, 560, 15481, 264, 1341, 1412, 315, 337, 14826, 5073, 453, 453, 743, 1801, 12714, 4732, 754, 718, 3488, 32098, 6874, 4286, 281, 1412, 1341, 9133, 300, 4215, 1341, 262, 315, 337, 14826, 5073, 453, 453, 743, 1801, 12714, 4732, 754, 718, 3488, 306, 13996, 281, 3733, 623, 310, 18218, 315, 337, 14826, 5073, 453, 453, 743, 1801, 12714, 4732, 754, 718, 28361, 337, 14826, 5073, 4848, 454, 453, 453, 258, 3632, 652, 324, 7188, 535, 529, 1512, 23313, 16013, 924, 3288, 7746, 454, 453, 453, 321, 18860, 815, 535, 529, 1512, 18667, 263, 9083, 275, 994, 453, 453, 6112, 630, 321, 18860, 2187, 4848, 453, 743, 1801, 12714, 4732, 754, 6357, 18860, 994, 4848, 453, 321, 18860, 815, 535, 529, 1512, 18667, 263, 9083, 275, 994, 453, 21955, 594, 302, 13286, 912, 453, 453, 258, 546, 20403, 535, 529, 1512, 592, 8356, 2291, 320, 1726, 25975, 773, 16013, 529, 796, 8544, 1690, 632, 476, 29024, 3502, 5853, 454, 453, 453, 916, 326, 815, 1412, 292, 549, 732, 256, 1763, 2720, 320, 524, 518, 25917, 1412, 1341, 1003, 324, 4910, 2720, 320, 290, 518, 25917, 1341, 1412, 8356, 513, 2322, 583, 535, 328, 3154, 7534, 256, 7055, 453, 13537, 20444, 326, 454, 453, 453, 743, 1801, 12714, 4732, 754, 718, 3488, 12487, 9143, 270, 272, 269, 272, 476, 29024, 3502, 5853, 315, 337, 14826, 5073, 453, 453, 743, 1801, 12714, 4732, 754, 718, 3488, 32098, 6441, 2654, 281, 1412, 1341, 1193, 12759, 263, 916, 326, 269, 523, 13892, 3488, 583, 325, 268, 279, 262, 30727, 1341, 1412, 315, 337, 14826, 5073, 453, 453, 743, 1801, 12714, 4732, 754, 718, 3488, 32098, 6874, 4286, 281, 1257, 270, 21622, 315, 337, 14826, 5073, 453, 453, 743, 1801, 12714, 4732, 754, 718, 3488, 306, 13996, 281, 3733, 623, 310, 18218, 315, 337, 14826, 5073, 453, 453, 743, 1801, 12714, 4732, 754, 718, 28361, 337, 14826, 10807, 28768, 453, 453, 743, 1801, 12714, 4732, 754, 718, 263, 916, 326, 2020, 453, 325, 3373, 912, 453, 14851, 535, 529, 1512, 568, 711, 7183, 912, 4848, 453, 325, 529, 1512, 25379, 4590, 453, 743, 1801, 12714, 25379, 4590, 13537, 1412, 306, 8584, 2165, 514, 520, 635, 684, 545, 19327, 24140, 7817, 592, 25692, 0, 5814, 21795, 607, 19073, 692, 3698, 1205, 5091, 21648, 564, 263, 14766, 264, 10778, 825, 23288, 825, 16849, 513, 21795, 10471, 689, 513, 2016, 29250, 547, 513, 26417, 3097, 1038, 30352, 912, 2018, 29250, 630, 1598, 2567, 589, 29250, 610, 2619, 547, 513, 26417, 3758, 563, 1038, 16849, 454, 2018, 10471, 630, 335, 663, 553, 6185, 1092, 20988, 2567, 4578, 18134, 689, 26417, 3758, 454, 825, 23288, 8931, 825, 2119, 912, 1038, 1948, 21093, 11483, 309, 3758, 543, 6460, 547, 10471, 454, 1038, 10471, 815, 19073, 18667, 32269, 263, 14766, 267, 869, 8548, 25514, 25716, 994, 825, 4849, 912, 1038, 1948, 19530, 532, 5470, 950, 9868, 454, 1038, 1820, 2891, 18823, 8091, 29250, 610, 711, 2139, 4199, 5602, 8931, 825, 2132, 10471, 7531, 3698, 6749, 22674, 8435, 5560, 21648, 564, 267, 3712, 8435, 15461, 5091, 1886, 17342, 316, 2187, 825, 23288, 825, 29100, 9587, 538, 1747, 689, 513, 17455, 553, 4578, 18134, 454, 1038, 30352, 912, 2018, 10471, 630, 335, 663, 553, 6185, 1092, 20988, 2567, 13096, 553, 564, 547, 6749, 9587, 454, 2018, 9587, 15461, 5091, 1886, 630, 1598, 26514, 2567, 26275, 540, 9587, 547, 6749, 267, 9949, 8900, 454, 1038, 16849, 454, 2018, 10471, 630, 335, 663, 553, 6185, 1092, 18134, 2567, 13096, 553, 564, 609, 12628, 9587, 454, 825, 15981, 692, 825, 2119, 912, 1038, 1948, 291, 549, 6137, 9587, 454, 1038, 10471, 6155, 1886, 263, 3712, 8435, 15461, 5091, 1886, 267, 7852, 6889, 3712, 8435, 2580, 514, 2897, 18989, 994, 825, 4849, 912, 1038, 1948, 19530, 532, 5470, 950, 9868, 454, 1038, 1820, 2891, 13286, 3843, 547, 6749, 9587, 269, 7638, 1518, 602, 9587, 4408, 616, 2953, 610, 6818, 5602, 8931, 825, 2132, 10471, 692, 3698, 6460, 15461, 5091, 520, 8135, 630, 323, 21648, 564, 267, 4266, 22674, 4379, 2187, 825, 23288, 825, 22417, 547, 4266, 513, 6241, 540, 513, 1239, 18134, 454, 1038, 30352, 912, 2018, 10471, 630, 335, 663, 553, 6185, 1092, 18134, 2567, 13096, 553, 564, 547, 1305, 4994, 454, 2018, 4266, 22674, 4379, 630, 1598, 2567, 28758, 547, 6460, 547, 11261, 454, 1038, 16849, 454, 2018, 10471, 630, 335, 663, 553, 6185, 1092, 18134, 2567, 13096, 553, 564, 609, 4266, 6241, 454, 825, 23288, 825, 2119, 912, 1038, 1948, 935, 31844, 6241, 547, 4266, 630, 514, 2897, 994, 1038, 10471, 314, 11845, 22674, 4379, 316, 815, 19073, 30419, 5091, 520, 8135, 5560, 21648, 564, 314, 11845, 22674, 4379, 7481, 825, 4849, 912, 1038, 1948, 19530, 532, 5470, 950, 9868, 454, 1038, 1820, 2891, 26705, 6241, 711, 5431, 610, 3765, 335, 9934, 6241, 269, 3550, 568, 513, 6444, 4266, 3898, 5602, 825, 2132, 10471, 7531, 3698, 1711, 16229, 5560, 21648, 564, 267, 4994, 22674, 4379, 267, 568, 5091, 622, 815, 6936, 2187, 825, 23288, 825, 5590, 4994, 538, 513, 13096, 553, 564, 689, 513, 2016, 6241, 609, 4266, 4781, 454, 1038, 30352, 281, 3097, 2018, 10471, 630, 335, 663, 553, 6185, 1092, 18134, 2567, 13096, 553, 564, 547, 1305, 4994, 454, 2018, 4994, 22674, 4379, 630, 1598, 2567, 28758, 547, 581, 4994, 454, 2018, 568, 5091, 622, 630, 289, 944, 2567, 25035, 547, 5815, 952, 519, 2016, 6241, 568, 538, 4266, 3898, 3097, 1038, 16849, 454, 2018, 10471, 630, 335, 663, 553, 6185, 1092, 18134, 2567, 13096, 553, 564, 609, 4994, 9587, 454, 825, 23288, 825, 2119, 912, 1038, 1948, 3519, 31844, 11261, 21803, 547 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1129, 2476, 269, 634, 21944, 8851, 957, 17101, 519, 7022, 540, 519, 8087, 2829, 547, 19268, 1479, 21944, 11031, 945, 5030, 7532, 540, 519, 4413, 13945, 5757, 547, 3338, 7178, 540, 519, 4413, 13945, 4352, 519, 19268, 25557, 729, 26723, 839, 4601, 17319, 267, 519, 957, 8507, 538, 2112, 609, 519, 5033, 514, 1961, 14316, 543, 547, 519, 1750, 28373, 13009, 540, 17229, 563, 763, 21944, 8851, 957, 729, 513, 1876, 5293, 676, 7022, 543, 4319, 795, 11055, 538, 476, 8146, 271, 621, 1572, 585, 5065, 22988, 593, 519, 9456, 5032, 540, 519, 8087, 2829, 547, 581, 882, 11343, 883, 875, 1223, 519, 2229, 1521, 606, 3003, 1895, 540, 1004, 865, 10792, 569, 1759, 9003, 593, 741, 2081, 540, 1272, 543, 1114, 4282, 269, 31203, 1131, 4688, 21944, 1004, 689, 519, 1244, 1042, 725, 540, 16543, 267, 543, 1131, 19268, 1479, 873, 538, 606, 1858, 1141, 789, 1223, 1827, 2933, 538, 4708, 930, 8359, 547, 3251, 538, 4413, 13945, 896, 519, 2474, 540, 519, 8851, 957, 855, 1498, 519, 2112, 8257, 1500, 930, 8942, 547, 2149, 1346, 269, 4095, 8851, 957, 630, 8146, 271, 264, 2101, 6411, 540, 18322, 10677, 476, 1220, 275, 519, 575, 1446, 1895, 1651, 519, 21944, 8851, 957, 11542, 693, 519, 10167, 540, 3875, 9840, 1851, 24067, 22988, 936, 519, 12556, 540, 7819, 967, 2103, 875, 729, 519, 14486, 540, 5065, 22988, 2469, 547, 581, 15286, 269, 634, 476, 8146, 271, 21944, 8851, 957, 543, 7766, 12761, 540, 519, 524, 9127, 267, 1781, 551, 1177, 267, 7105, 553, 1177, 267, 5033, 514, 1961, 267, 543, 1750, 28373, 11031, 540, 519, 22703, 24009, 519, 5075, 540, 513, 3043, 4182, 543, 2968, 835, 540, 519, 7114, 4162, 540, 519, 2085, 540, 795, 11055, 563, 763, 21944, 8851, 957, 729, 513, 1876, 5293, 676, 519, 8087, 2829, 18322, 538, 476, 8146, 271, 267, 543, 9896, 883, 1876, 676, 7022, 543, 4319, 795, 11055, 896, 519, 2474, 540, 519, 957, 267, 5065, 22988, 538, 519, 25878, 8087, 2829, 941, 9415, 547, 4123, 741, 3338, 585, 2244, 538, 519, 7178, 267, 7551, 1863, 532, 909, 2244, 538, 519, 269, 898, 729, 3834, 665, 15560, 855, 267, 1775, 1175, 1810, 1405, 917, 875, 547, 1376, 547, 2497, 1250, 9433, 621, 568, 9277, 547, 581, 10388, 630, 1729, 7022, 795, 11055, 1775, 1397, 811, 30971, 585, 1686, 267, 1775, 723, 547, 2328, 713, 1557, 540, 1250, 5784, 593, 519, 21944, 8851, 957, 540, 476, 8146, 271, 1775, 6415, 12758, 1775, 917, 621, 729, 3983, 269, 4095, 8851, 957, 1299, 562, 684, 1695, 328, 1673, 10044, 1673, 5979, 3620, 559, 340, 25829, 538, 519, 476, 5197, 271, 781, 267, 519, 8087, 2829, 729, 513, 4182, 1869, 1565, 875, 547, 7561, 2196, 513, 2229, 267, 543, 3715, 17258, 607, 513, 3196, 547, 581, 22672, 19861, 609, 7269, 729, 519, 1101, 10862, 538, 799, 789, 941, 5462, 547, 3035, 269, 0, 2414, 6146, 513, 27629, 568, 24903, 519, 3460, 602, 1085, 719, 1710, 577, 666, 1294, 602, 646, 568, 3206, 1018, 621, 1590, 581, 899, 689, 1200, 1448, 540, 2070, 267, 543, 1287, 269, 1548, 781, 811, 267, 649, 723, 547, 2328, 547, 6146, 513, 27629, 1557, 855, 1018, 568, 538, 2013, 609, 713, 3209, 267, 513, 2241, 5758, 540, 547, 6146, 513, 27629, 786, 798, 540, 1576, 269, 1677, 6146, 513, 27629, 568, 513, 476, 3422, 273, 7819, 12416, 4670, 9859, 676, 29122, 544, 1638, 10247, 2038, 538, 519, 4670, 267, 519, 1453, 1294, 741, 4651, 3398, 554, 1157, 800, 10808, 267, 543, 824, 3132, 267, 689, 1775, 1590, 2161, 519, 812, 543, 519, 1915, 646, 5129, 941, 711, 796, 531, 833, 269, 769, 547, 6146, 513, 27629, 267, 1453, 2661, 538, 606, 6427, 633, 1158, 1141, 13655, 5185, 609, 1483, 12178, 267, 795, 655, 543, 1085, 719, 1590, 7148, 883, 1007, 2157, 540, 15657, 538, 269, 1677, 6146, 513, 27629, 676, 3771, 704, 682, 324, 729, 2854, 538, 519, 476, 4198, 271, 338, 543, 3370, 789, 849, 581, 23136, 546, 650, 267, 513, 1507, 7911, 945, 2501, 547, 3643, 543, 3251, 609, 1010, 31225, 563, 10403, 1557, 281, 998, 519, 1576, 540, 519, 3209, 547, 6146, 513, 27629, 267, 676, 3771, 704, 682, 324, 2073, 519, 28877, 543, 21440, 538, 519, 1158, 267, 543, 602, 835, 1590, 1020, 513, 10892, 585, 621, 1140, 16307, 568, 3972, 532, 795, 655, 547, 9108, 1205, 1085, 719, 547, 1153, 267, 543, 948, 1200, 19651, 269, 1323, 1557, 1058, 2141, 1118, 513, 2582, 1448, 547, 1205, 513, 1390, 1557, 267, 2322, 11735, 3843, 547, 2328, 513, 1390, 1557, 543, 1175, 1445, 593, 6031, 835, 3364, 602, 568, 711, 6654, 513, 269, 3371, 781, 513, 2689, 1775, 5206, 827, 835, 540, 1250, 5172, 2835, 267, 547, 6146, 513, 27629, 676, 1360, 1906, 1004, 723, 2479, 2938, 1630, 334, 267, 543, 1085, 719, 543, 1200, 2828, 723, 513, 2603, 540, 1187, 945, 2661, 543, 13236, 538, 547, 6146, 513, 27629, 267, 596, 3513, 723, 547, 1224, 519, 1433, 563, 1103, 519, 3209, 547, 6146, 513, 27629, 267, 2854, 676, 3771, 704, 682, 324, 267, 1140, 16307, 1710, 577, 781, 6961, 547, 1085, 719, 602, 1100, 835, 1058, 15936, 540, 1018, 596, 1616, 547, 798, 610, 723, 1044, 3257, 267, 1547, 6168, 519, 4729, 267, 3197, 543, 4798, 538, 3771, 704, 682, 324, 781, 547, 6146, 513, 27629, 6432, 547, 519, 9739, 538, 707, 2212, 543, 23590, 7005, 8301, 811, 8301, 4585, 269, 594, 798, 711, 899, 713, 2262, 543, 621, 24074, 803, 547, 1256, 1224, 621, 1055, 540, 513, 2985, 267, 855, 2278, 781, 8247, 568, 1271, 267, 543, 649, 723, 547, 2463, 602, 811, 936, 267, 649, 782, 723, 12819, 1557, 1298, 1359, 593, 519, 24890, 540, 547, 6146, 513, 27629, 22097, 269, 5131, 1557, 281, 10100, 538, 547, 6146, 513, 27629, 10100, 568, 3254, 1369, 519, 2295, 1652, 8292, 540, 1346, 1472, 873, 267, 547, 1294, 519, 13766, 540, 1010, 9525, 269, 7348, 4967, 910, 7005, 1557, 547, 6146, 513, 27629, 689, 7005, 1989, 476, 1556, 3743, 812, 945, 13290, 547, 1397, 1010, 3214, 519, 4245, 789, 991, 547, 1118, 563, 288, 5299, 540, 1412, 1729, 6146, 513, 27629, 262, 1373, 15504, 1055, 513, 15808, 3209, 12582, 1405, 581, 17049, 689, 3506, 267, 922, 946, 607, 513, 3450, 1907, 1058, 581, 15260, 612, 539, 538, 519, 1433, 267, 2938, 607, 1945, 540, 513, 1246, 5346, 547, 547, 6146, 513, 27629, 267, 519, 269, 5131, 547, 6146, 513, 27629, 4574, 267, 3594, 267, 543, 1382, 4574, 538, 835, 1433, 2943, 666, 4988, 609, 971, 1082, 2042, 267, 3771, 704, 682, 324, 1590, 723, 1044, 519, 3209, 25856, 1472, 10168, 543, 1085, 719, 12034, 7130, 16382, 1352, 4422, 1547, 1323, 1557, 1590, 2270, 606, 4367, 267, 513, 1560, 267, 543, 513, 3932, 1131, 723, 721, 798, 538, 938, 4948, 2729, 827, 14882, 267, 7130, 267, 543, 21440, 563, 763, 3974, 25690, 281, 3771, 704, 682, 324, 781, 547, 6146, 513, 27629, 814, 519, 5467, 2015, 1919, 689, 1776, 781, 1448, 540, 1557, 4170, 1919, 547, 1589, 827, 543, 798, 269, 2060, 519, 3377, 540, 519, 2669, 540, 3771, 704, 682, 324, 267, 1272, 2835, 814, 1175, 5950, 513, 1007, 7160, 540, 519, 11972, 9371, 540, 3771, 704, 682, 324, 543, 547, 6146, 513, 269, 634, 2140, 540, 3771, 704, 682, 324, 781, 476, 3422, 271, 5929, 547, 6146, 513, 27629, 568, 899, 602, 585, 803, 267, 602, 729, 519, 1152, 942, 1775, 2479, 4862, 1140, 16307, 2161, 621, 729, 513, 5609, 547, 798, 269, 1677, 6146, 513, 27629, 1557, 593, 10168, 910, 3079, 540, 7282, 827, 1382, 1957, 519, 2556, 6351, 1934, 4744, 31277, 267, 3594, 543, 1382, 4574, 540, 711, 1152, 1397, 875, 547, 6146, 513, 1433, 2854, 676, 1140, 16307, 1710, 577, 267, 10168, 538, 3771, 704, 682, 324, 563, 2108, 1729, 6146, 513, 27629, 892, 630, 1492, 2462, 1224, 264, 630, 25075, 1938, 606, 8301, 3391, 609, 27367, 3391, 609, 630, 280, 268, 1321, 264, 476, 1015, 3992, 4566, 267, 1557, 3584, 267, 543, 1698, 7723, 1788, 2093, 1085, 582, 1206, 4011, 334, 8695, 543, 547, 6146, 513, 27629, 281, 1079, 8062, 585, 519, 1455, 4295, 2789, 9607, 991, 547, 581, 9674, 676, 862, 553, 630, 1220, 3197, 3193, 269, 6423, 811, 4583, 10530, 689, 3332, 547, 10581, 707, 10935, 695, 15879, 641, 9397, 1524, 1883, 24185, 689, 547, 6146, 513, 27629, 1140, 16307, 267, 596, 1590, 581, 4636, 269, 634, 4845, 1590, 1397, 602, 596, 1174, 519, 2495, 540, 519, 2262, 519, 1353, 540, 547, 6146, 513, 27629, 267, 596, 786, 581, 1603, 606, 1557, 593, 835, 2460, 540, 519, 3209, 547, 6146, 513, 27629, 851, 476, 272, 7688, 851, 476, 272, 2110, 2626, 630, 272, 544, 330, 1142, 264, 596, 798, 269, 16497, 476, 280, 1700, 1556, 1445, 593, 519, 3206, 602, 1053, 991, 547, 798, 1354, 13167, 741, 1378, 547, 6146, 513, 27629, 2203, 1557, 630, 821, 829, 2875, 543, 835, 547, 4159, 269, 0, 24171, 14247, 742, 3205, 630, 1724, 32414, 476, 14690, 274, 910, 476, 275, 5104, 569, 476, 9264, 277, 264, 729, 2278, 540, 519, 17083, 540, 7115, 630, 10082, 277, 264, 543, 519, 20424, 807, 29417, 585, 3909, 5191, 630, 10082, 278, 1070, 13653, 540, 519, 6280, 540, 20424, 807, 630, 8687, 280, 1070, 519, 3791, 7022, 540, 519, 8087, 2829, 630, 5197, 272, 268, 5197, 280, 1070, 513, 2797, 14544, 267, 9375, 540, 14247, 742, 3205, 781, 23573, 269, 1452, 28114, 14247, 742, 3205, 10530, 2099, 1010, 1272, 607, 835, 540, 938, 1340, 539, 15713, 18971, 543, 606, 31369, 3090, 585, 1312, 2101, 2797, 6105, 538, 910, 628, 5557, 14247, 742, 3205, 1995, 554, 987, 1352, 1233, 267, 602, 1256, 896, 519, 1655, 3029, 540, 2229, 1346, 1303, 27434, 609, 1379, 723, 267, 538, 942, 267, 543, 676, 3500, 563, 2005, 1590, 581, 8799, 547, 723, 3165, 19315, 267, 952, 1152, 1775, 1185, 930, 3165, 1932, 1250, 1272, 568, 1360, 267, 1360, 8909, 1775, 993, 513, 8909, 543, 13249, 3032, 609, 1100, 3165, 9939, 1176, 267, 519, 8912, 1480, 267, 519, 1279, 3620, 8529, 835, 267, 729, 972, 1932, 267, 543, 621, 5526, 602, 649, 2811, 547, 3251, 1934, 585, 519, 942, 1373, 621, 781, 2864, 513, 8799, 1747, 267, 538, 922, 1259, 267, 865, 1775, 1810, 1405, 2247, 1932, 1454, 269, 8191, 28114, 552, 476, 6977, 277, 530, 20490, 269, 2991, 28114, 14247, 742, 3205, 781, 2669, 538, 476, 9264, 277, 267, 1010, 8250, 543, 25752, 267, 2261, 15925, 14247, 742, 3205, 28219, 20462, 267, 729, 25997, 547, 6133, 1395, 6776, 10314, 543, 1454, 540, 922, 10437, 547, 2628, 1010, 19210, 729, 513, 27676, 15677, 602, 16768, 3670, 4374, 1010, 26043, 14331, 13351, 14247, 742, 3205, 1896, 2053, 538, 1010, 1272, 267, 543, 2356, 563, 297, 517, 803, 778, 600, 781, 12092, 540, 28114, 14247, 742, 3205, 5654, 693, 875, 519, 15713, 4651, 7059, 1010, 16431, 609, 693, 519, 1482, 942, 1010, 17021, 540, 1004, 543, 2621, 9356, 543, 556, 5809, 10661, 2418, 543, 855, 1287, 267, 14247, 742, 3205, 781, 1272, 543, 4876, 723, 1044, 16271, 547, 29882, 22987, 2094, 693, 2547, 269, 7338, 14247, 742, 3205, 585, 3214, 568, 513, 1134, 27787, 267, 3102, 12092, 540, 519, 3791, 7022, 540, 519, 8087, 2829, 543, 2278, 540, 519, 17083, 540, 7115, 972, 616, 7899, 540, 11147, 543, 5961, 540, 28114, 14247, 742, 3205, 267, 1010, 1753, 267, 543, 519, 1004, 945, 6766, 1010, 1272, 543, 2053, 269, 7216, 1272, 543, 4876, 540, 28114, 14247, 742, 3205, 28114, 14247, 742, 3205, 267, 519, 3791, 7022, 540, 519, 8087, 2829, 267, 729, 3238, 538, 6214, 689, 1010, 2038, 2937, 1296, 713, 2376, 6227, 1010, 2038, 1272, 543, 4876, 267, 998, 1010, 1603, 519, 17083, 540, 7115, 267, 7589, 538, 519, 7819, 12316, 2112, 563, 288, 1206, 27599, 385, 367, 12921, 924, 267, 737, 611, 7523, 384, 501, 339, 636, 384, 501, 974, 1236, 320, 640, 16210, 683, 1440, 529, 6359, 2426, 384, 503, 267, 533, 776, 20795, 330, 842, 328, 267, 17328, 385, 378, 2096, 384, 501, 16210, 3693, 639, 818, 579, 385, 378, 338, 4275, 20795, 12682, 328, 2250, 629, 553, 1236, 320, 640, 323, 9564, 737, 5500, 326, 384, 483, 29770, 1492, 1272, 543, 2053, 540, 28114, 14247, 742, 3205, 269, 7338, 14247, 742, 3205, 6707, 10443, 585, 538, 1010, 519, 24164, 585, 519, 1101, 942, 538, 476, 5197, 271, 1498, 646, 1705, 711, 5859, 585, 1010, 5428, 268, 607, 729, 519, 2245, 602, 942 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 692, 272, 6145, 692, 8340, 318, 303, 339, 269, 724, 630, 1556, 269, 280, 22995, 2020, 2252, 602, 1018, 596, 1611, 676, 2147, 9811, 563, 4517, 891, 7285, 616, 2141, 3160, 1317, 519, 3515, 616, 6252, 267, 972, 568, 1100, 824, 4781, 780, 272, 6145, 692, 12552, 16921, 585, 782, 519, 30491, 2336, 296, 6557, 4974, 782, 540, 873, 267, 1775, 3580, 1205, 1394, 607, 777, 2439, 342, 578, 2336, 303, 675, 4154, 256, 8729, 2336, 296, 1705, 711, 1174, 519, 12596, 267, 596, 5249, 1152, 609, 2127, 543, 1100, 29890, 693, 782, 256, 4270, 2944, 2439, 296, 4076, 3773, 513, 6467, 593, 519, 13392, 4542, 543, 7229, 519, 9386, 1384, 3725, 10503, 519, 3510, 630, 328, 4076, 26948, 519, 6724, 630, 25585, 4769, 1406, 1775, 946, 971, 693, 1376, 286, 15892, 10472, 568, 513, 1793, 3187, 2451, 28878, 14318, 1141, 1082, 1543, 568, 2938, 267, 693, 1142, 3593, 3403, 621, 15942, 2451, 610, 1318, 609, 513, 5347, 14318, 563, 2252, 519, 3593, 2046, 519, 16181, 1282, 519, 14318, 267, 1775, 4941, 519, 14318, 547, 1832, 1699, 6991, 543, 3082, 519, 10231, 547, 3914, 519, 3077, 3845, 538, 519, 4941, 942, 780, 11693, 3355, 6991, 966, 267, 3845, 547, 2951, 590, 543, 942, 570, 267, 1265, 519, 10231, 563, 763, 14318, 786, 3432, 909, 952, 1699, 3432, 568, 1932, 1970, 267, 610, 25483, 1394, 952, 621, 729, 1932, 3728, 563, 3086, 621, 786, 849, 960, 952, 3355, 3432, 568, 2942, 267, 799, 666, 4523, 780, 22772, 1283, 1448, 269, 724, 630, 2420, 269, 279, 22995, 2020, 12552, 1586, 16921, 2439, 296, 3580, 6460, 713, 547, 795, 822, 2444, 2815, 543, 1775, 3580, 2119, 547, 3095, 1934, 513, 2324, 2985, 780, 288, 815, 630, 295, 23444, 307, 265, 321, 6953, 8358, 275, 31618, 307, 6953, 11486, 11924, 295, 317, 273, 14370, 273, 265, 321, 2020, 1607, 568, 606, 3830, 585, 519, 1858, 1210, 29890, 269, 536, 568, 1250, 5187, 2305, 585, 16009, 15512, 799, 568, 519, 3330, 5086, 693, 519, 1318, 1439, 540, 519, 3337, 269, 5502, 540, 536, 596, 1223, 849, 946, 3368, 540, 519, 519, 5086, 693, 519, 9133, 799, 568, 2141, 476, 3445, 4113, 910, 536, 269, 594, 4076, 1031, 713, 3896, 547, 4194, 519, 3830, 585, 536, 780, 321, 815, 630, 9230, 275, 265, 288, 317, 273, 268, 275, 265, 288, 265, 295, 265, 307, 266, 273, 265, 295, 317, 273, 265, 307, 317, 273, 8358, 307, 317, 275, 8203, 271, 269, 276, 11924, 263, 273, 265, 288, 6953, 265, 307, 8358, 307, 317, 273, 692, 613, 5852, 318, 2889, 12378, 8548, 4135, 333, 269, 724, 630, 3607, 269, 275, 22995, 2020, 19350, 568, 513, 16866, 4528, 1384, 613, 5852, 318, 2889, 12378, 8548, 4135, 333, 5334, 574, 680, 1881, 269, 724, 630, 866, 269, 274, 22995, 2020, 273, 700, 10105, 692, 5591, 991, 585, 713, 1317, 519, 2034, 3070, 2141, 2999, 476, 271, 799, 4734, 1152, 519, 1101, 835, 692, 5194, 1259, 547, 1265, 519, 1482, 3830, 281, 476, 273, 265, 307, 265, 300, 11054, 266, 275, 16732, 307, 265, 295, 5025, 12684, 300, 23444, 307, 265, 295, 268, 273, 265, 288, 12684, 295, 815, 476, 271, 454, 4517, 2141, 281, 630, 307, 21610, 9984, 263, 295, 19072, 264, 815, 476, 273, 2073, 1496, 301, 543, 631, 3436, 476, 271, 6540, 272, 6145, 692, 11039, 267, 2413, 2395, 991, 2413, 2645, 2507, 692, 763, 5580, 1448, 1131, 581, 630, 339, 820, 519, 1101, 1448, 607, 476, 271, 267, 271, 17107, 987, 269, 724, 630, 278, 269, 271, 22995, 2020, 3528, 519, 1259, 519, 3830, 540, 519, 5580, 1448, 267, 1247, 670, 20081, 568, 6378, 1299, 589, 568, 4657, 568, 1384, 810, 519, 29297, 1774, 568, 1535, 284, 307, 270, 273, 692, 6112, 570, 568, 4657, 568, 1384, 6112, 670, 568, 4657, 568, 1384, 275, 700, 10105, 692, 291, 600, 333, 16921, 256, 962, 685, 718, 616, 2469, 782, 538, 1934, 2439, 272, 6145, 692, 2252, 596, 8068, 609, 713, 3845, 568, 6378, 692, 763, 1858, 2141, 519, 1482, 950, 649, 1847, 519, 1448, 2059, 519, 7455, 267, 6148, 972, 568, 513, 22762, 3740, 3070, 780, 728, 269, 724, 630, 866, 269, 273, 22995, 2020, 272, 6145, 692, 1607, 568, 1776, 3070, 1210, 26344, 5852, 547, 1265, 1990, 692, 338, 565, 274, 269, 724, 630, 2537, 269, 274, 22995, 2020, 272, 6145, 692, 296, 1810, 1406, 723, 4376, 547, 1039, 2864, 982, 547, 2161, 602, 594, 2648, 713, 8468, 692, 274, 700, 10105, 692, 5194, 1259, 547, 1205, 693, 519, 3070, 1247, 9319, 4645, 3252, 630, 323, 821, 593, 513, 2022, 32717, 4063, 267, 519, 1259, 2979, 729, 5921, 547, 581, 2944, 476, 2567, 2347, 519, 2451, 6906, 547, 1205, 1079, 11604, 268, 13548, 12730, 1142, 540, 4463, 586, 543, 8700, 1535, 269, 634, 2698, 1858, 540, 1312, 12730, 568, 27976, 543, 519, 9241, 3773, 6906, 4062, 814, 1858, 1422, 2765, 346, 272, 2410, 273, 348, 295, 263, 273, 343, 6874, 1040, 32027, 519, 2127, 1927, 543, 1210, 4473, 270, 14725, 585, 2147, 12730, 267, 649, 1205, 1079, 4834, 538, 938, 1079, 26968, 985, 1535, 543, 586, 1384, 1892, 27976, 815, 589, 1341, 1422, 2765, 346, 272, 2410, 273, 348, 295, 263, 273, 343, 6874, 994, 1892, 1422, 2765, 26635, 2410, 343, 348, 815, 1422, 2765, 346, 295, 2410, 273, 343, 6874, 10926, 1607, 666, 581, 16866, 1524, 547, 513, 13392, 3830, 585, 1535, 267, 609, 586, 2016, 538, 2474, 540, 1535, 1384, 1892, 670, 343, 317, 273, 910, 476, 273, 263, 12487, 5025, 32589, 1341, 570, 7268, 2765, 346, 272, 2410, 273, 348, 12487, 5025, 264, 815, 476, 271, 454, 1892, 586, 815, 1422, 2765, 346, 272, 2410, 343, 22042, 288, 1341, 670, 3287, 10559, 2765, 346, 272, 2410, 273, 348, 307, 264, 6540, 3383, 4019, 519, 13392, 4542, 547, 1205, 519, 8700, 1535, 267, 543, 1287, 11690, 621, 883, 519, 2034, 3830, 547, 1205, 519, 4463, 586, 269, 0, 258, 1215, 547, 30770, 519, 670, 13783, 11270, 17776, 593, 606, 20971, 692, 328, 18347, 30502, 270, 21900, 657, 2593, 270, 7476, 1399, 16103, 692, 763, 8066, 1974, 2132, 267, 610, 670, 11266, 267, 568, 835, 540, 519, 14724, 5092, 10526, 596, 666, 5173, 1317, 621, 23304, 1841, 519, 3259, 540, 519, 5092, 547, 3132, 606, 2949, 2132, 2557, 540, 519, 5092, 269, 1403, 782, 596, 991, 568, 513, 4137, 602, 3081, 875, 1454, 707, 2724, 8057, 267, 713, 568, 519, 9819, 585, 596, 269, 1717, 267, 713, 9819, 4465, 1405, 1577, 596, 5635, 707, 5092, 547, 1866, 1317, 540, 2693, 3604, 538, 519, 942, 7406, 269, 1306, 606, 1383, 267, 707, 7023, 949, 1350, 13331, 693, 1010, 476, 736, 2600, 670, 11266, 3379, 547, 707, 476, 276, 2600, 267, 855, 646, 3580, 3533, 9505, 909, 950, 646, 30877, 1010, 5092, 3576, 2947, 1296, 1247, 16523, 5949, 16074, 780, 1012, 5153, 476, 272, 692, 11754, 1022, 6666, 8928, 5833, 689, 519, 5092, 269, 1306, 606, 1383, 267, 952, 596, 16539, 538, 6006, 13235, 602, 3812, 10116, 569, 27993, 540, 8096, 271, 269, 2004, 267, 596, 4607, 5216, 971, 11033, 829, 2671, 936, 519, 1576, 540, 1079, 1296, 269, 901, 2164, 538, 513, 2698, 6666, 2095, 540, 8096, 275, 829, 2671, 269, 5221, 670, 11266, 21410, 513, 6871, 267, 596, 798, 711, 991, 547, 9062, 519, 829, 2671, 6666, 2095, 676, 519, 1297, 540, 8843, 596, 1378, 269, 5901, 621, 2241, 676, 9363, 593, 513, 829, 6879, 732, 9819, 780, 1012, 5153, 476, 273, 692, 11754, 519, 6666, 8928, 547, 519, 8066, 1974, 781, 10678, 5092, 1871, 269, 769, 519, 1383, 267, 952, 6006, 13235, 9782, 547, 8096, 10219, 829, 2671, 267, 1039, 8096, 10219, 7132, 8096, 275, 547, 5173, 513, 2698, 1871, 540, 8096, 15782, 829, 2671, 780, 1012, 5153, 476, 274, 692, 19667, 728, 713, 4137, 676, 519, 5092, 781, 1871, 693, 519, 4098, 540, 519, 8066, 1974, 269, 769, 519, 1383, 267, 952, 596, 12349, 6006, 13235, 585, 8096, 2004, 267, 7941, 8096, 15782, 676, 8096, 2004, 547, 21410, 513, 12750, 1512, 540, 476, 273, 269, 6812, 780, 1012, 5153, 476, 275, 692, 8138, 339, 847, 835, 689, 519, 12750, 1512, 547, 21410, 519, 670, 11266, 538, 8918, 3898, 269, 769, 519, 1383, 267, 476, 273, 269, 6812, 14263, 476, 272, 21410, 606, 670, 11266, 540, 476, 272, 269, 6812, 780, 1012, 5153, 476, 276, 692, 11372, 17586, 713, 4137, 676, 476, 1911, 547, 6460, 621, 547, 2600, 3898, 269, 769, 519, 1383, 267, 476, 272, 269, 6812, 2053, 476, 1911, 17838, 519, 8918, 3898, 547, 513, 476, 15647, 2600, 2132, 593, 5092, 1282, 519, 8066, 1974, 269, 0, 258, 1411, 6718, 513, 2698, 540, 476, 3393, 8843, 540, 13632, 689, 476, 274, 1114, 3549, 269, 1411, 6718, 7466, 607, 1082, 8843, 540, 2754, 524, 6006, 607, 596, 798, 2754, 513, 269, 7577, 513, 6006, 23619, 585, 8096, 1428, 267, 2754, 645, 23619, 585, 8096, 1321, 267, 543, 2754, 595, 23619, 585, 8096, 1240, 269, 589, 264, 5581, 513, 2582, 4756, 543, 2328, 606, 3830, 585, 519, 2698, 1942, 540, 519, 6006, 289, 264, 952, 596, 11751, 476, 1015, 8843, 540, 2754, 589, 6006, 267, 1018, 729, 519, 1942, 290, 264, 14520, 3275, 2663, 519, 1871, 540, 2754, 589, 781, 6006, 2799, 476, 1839, 9077, 543, 2754, 595, 781, 8519, 476, 1015, 10065, 3503, 513, 1007, 3830, 547, 2769, 519, 1871, 540, 519, 6006, 1631, 269, 667, 264, 1018, 568, 519, 2600, 540, 2333, 610, 6175, 538, 519, 1871, 540, 707, 6718, 689, 851, 536, 2496, 272, 454, 2421, 9291, 4565, 2931, 515, 541, 692, 1001, 275, 268, 6021, 268, 6734, 307, 2420, 281, 1240, 281, 1015, 268, 6860, 281, 876, 454, 288, 264, 763, 2698, 1942, 1131, 581, 281, 1535, 284, 1428, 320, 266, 1321, 321, 266, 1240, 322, 1141, 1535, 568, 519, 2698, 1942, 543, 513, 14720, 25467, 524, 616, 519, 2179, 540, 13632, 596, 11751, 689, 741, 9757, 3549, 780, 289, 264, 4595, 596, 11751, 476, 1015, 589, 13632, 267, 596, 1590, 723, 11751, 476, 736, 595, 13632, 269, 2334, 8591, 909, 547, 476, 1789, 11751, 267, 6028, 476, 1428, 585, 645, 780, 343, 14352, 1428, 7565, 1015, 11924, 263, 1321, 7565, 1428, 11924, 263, 1240, 7565, 736, 994, 343, 284, 5611, 266, 5197, 266, 11740, 7807, 259, 277, 3445, 6170, 692, 290, 264, 589, 781, 6006, 568, 1631, 476, 1428, 263, 272, 269, 1839, 264, 799, 568, 476, 1240, 269, 4037, 269, 595, 781, 6006, 568, 1631, 476, 1240, 263, 269, 3445, 264, 799, 568, 476, 1626, 269, 273, 454, 2908, 3830, 568, 476, 1240, 269, 4037, 320, 266, 1321, 321, 266, 1626, 269, 273, 322, 24210, 692, 291, 264, 15240, 3482, 519, 1297, 540, 13632, 649, 11751, 689, 1142, 538, 1586, 912, 6942, 269, 276, 266, 5197, 266, 27844, 7807, 259, 7597, 272, 269, 276, 692, 763, 1942, 4682, 909, 5594, 267, 865, 7941, 476, 277, 3445, 270, 7597, 272, 269, 276, 1287, 9062, 602, 1297, 676, 835, 4627, 269, 1411, 1205, 602, 596, 6170, 538, 645, 476, 4200, 269, 279, 260, 519, 2179, 596, 6170, 538, 595, 269, 1924, 476, 1911, 268, 4200, 269, 279, 284, 606, 2333, 540, 1547, 273, 260, 0, 30125, 476, 25148, 3689, 28914, 11929, 4728, 476, 1015, 267, 476, 1220, 276, 692, 9743, 15297, 281, 8382, 1312, 2055, 538, 606, 981, 27412, 269, 5213, 1405, 7340, 547, 1129, 519, 32410, 780, 19370, 476, 272, 454, 320, 269, 589, 3196, 674, 6411, 593, 9325, 540, 2527, 544, 538, 476, 274, 291, 2230, 269, 634, 3196, 568, 8174, 762, 689, 513, 1761, 267, 674, 815, 910, 5552, 1109, 308, 269, 8058, 602, 13053, 781, 2034, 1876, 5205, 689, 20698, 9792, 781, 4834, 585, 519, 9325, 563, 763, 20698, 337, 836, 1014, 568, 700, 815, 476, 272, 270, 273, 332, 3287, 6440, 273, 1341, 586, 6440, 273, 1341, 1990, 6440, 273, 264, 910, 772, 269, 20698, 9792, 781, 4834, 1831, 454, 533, 343, 815, 2485, 370, 299, 2485, 370, 343, 6440, 815, 544, 6398, 343, 3092, 269, 2485, 370, 299, 2485, 370, 343, 815, 910, 2485, 370, 308, 2485, 370, 343, 815, 674, 343, 476, 6892, 865, 6398, 533, 343, 815, 544, 6398, 9943, 343, 815, 674, 343, 454, 663, 13974, 585, 586, 543, 1990, 563, 536, 269, 589, 14629, 568, 538, 519, 3337, 540, 3368, 513, 12718, 540, 8953, 681, 269, 634, 3432, 540, 513, 17079, 17875, 1782, 593, 713, 14629, 568, 14354, 547, 922, 4463, 1657, 519, 3490, 269, 634, 17079, 6499 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 275, 291, 3299, 1412, 276, 291, 3299, 1412, 277, 291, 3299, 1412, 278, 291, 3299, 1412, 279, 291, 3299, 1412, 280, 291, 3299, 1412, 1015, 291, 3299, 1477, 4449, 1412, 297, 291, 3299, 1412, 304, 291, 3299, 1412, 28474, 12887, 4696, 3299, 1412, 273, 295, 3299, 1412, 274, 295, 3299, 1412, 275, 295, 3299, 1412, 276, 295, 3299, 1412, 277, 295, 3299, 1412, 278, 295, 3299, 1412, 279, 295, 3299, 1477, 4449, 1412, 280, 295, 3299, 1412, 1015, 295, 3299, 1412, 297, 295, 3299, 1412, 304, 295, 3299, 1412, 298, 295, 3299, 1412, 288, 295, 3299, 1412, 273, 306, 3299, 1412, 274, 306, 3299, 1412, 275, 306, 3299, 1412, 276, 306, 3299, 1412, 277, 306, 3299, 1477, 4449, 1412, 278, 306, 3299, 1412, 279, 306, 3299, 1412, 280, 306, 3299, 1412, 1015, 306, 3299, 1412, 297, 306, 3299, 1412, 304, 306, 3299, 1412, 16775, 3299, 1412, 3008, 11172, 1477, 5035, 1546, 1188, 6769, 825, 16064, 6831, 1841, 23631, 341, 815, 1496, 15947, 825, 16064, 27133, 815, 1496, 15947, 825, 1219, 6449, 8181, 9191, 1345, 267, 23912, 5719, 1188, 8029, 1038, 1582, 19709, 1188, 27133, 815, 10288, 5719, 1188, 6983, 4878, 14052, 1038, 1820, 4311, 19709, 1188, 27133, 3418, 825, 1219, 4308, 4311, 8029, 1038, 18808, 6831, 731, 815, 1582, 19709, 1188, 27133, 314, 271, 15947, 1038, 1582, 19709, 1188, 27133, 21014, 263, 271, 3418, 1038, 2132, 18808, 6831, 731, 1477, 825, 1219, 10178, 4311, 8029, 1038, 1820, 4311, 19709, 1188, 27133, 3418, 825, 1219, 1931, 4311, 8029, 1038, 1582, 19709, 1188, 27133, 815, 10288, 5719, 1188, 6983, 4878, 14052, 825, 1219, 695, 4428, 1782, 4311, 8029, 1038, 1582, 19709, 1188, 27133, 815, 10288, 5719, 1188, 6983, 4878, 14052, 1038, 1820, 2891, 763, 6486, 723, 1044, 695, 4428, 1194, 1701, 3418, 1038, 2132, 695, 28984, 4311, 19709, 1188, 27133, 3418, 825, 1219, 568, 302, 6113, 1229, 4311, 8029, 1038, 1820, 2891, 5719, 1188, 27133, 2580, 1345, 19709, 1188, 27133, 3418, 1038, 16064, 6831, 1841, 23631, 341, 815, 1582, 19709, 1188, 27133, 11468, 18737, 272, 15947, 1038, 1820, 2891, 302, 6113, 1359, 14744, 1038, 1948, 2745, 2891, 3725, 341, 27133, 2580, 1372, 1188, 6831, 1841, 23631, 341, 3418, 1038, 10288, 23631, 341, 815, 10288, 5719, 1188, 11468, 18737, 272, 15947, 1038, 1948, 2745, 2891, 302, 6113, 1229, 4860, 2580, 23912, 23631, 341, 3418, 1038, 3259, 815, 7003, 263, 1372, 1188, 6831, 1841, 23631, 341, 3418, 1038, 1775, 815, 476, 271, 1477, 1038, 1293, 815, 476, 272, 1477, 1038, 1247, 9217, 283, 26319, 8029, 2018, 952, 16064, 6831, 1841, 23631, 341, 5157, 316, 2652, 10288, 23631, 341, 5157, 316, 6769, 3546, 1293, 6834, 272, 1477, 2018, 3116, 2433, 1477, 3546, 1820, 2891, 763, 16064, 568, 711, 10288, 14744, 3546, 2132, 8771, 1477, 3546, 2736, 1477, 2018, 1775, 23785, 272, 1477, 2018, 2132, 6936, 1477, 2745, 9497, 8702, 547, 519, 10794, 256, 8442, 25639, 1477, 1372, 1188, 815, 1546, 1188, 263, 23912, 5719, 1188, 3418, 2745, 2891, 13090, 1372, 531, 1693, 14744, 2745, 263, 1372, 1188, 19709, 531, 3890, 3418, 2745, 2891, 13090, 293, 534, 1693, 14744, 2745, 263, 1372, 1188, 8807, 534, 3890, 3418, 2745, 2891, 13090, 4537, 4428, 1782, 1693, 14744, 2745, 263, 1372, 1188, 11075, 4428, 1782, 3890, 3418, 2745, 263, 1372, 1188, 18994, 302, 6113, 1229, 3890, 3418, 5897, 24653, 1363, 1477, 1363, 5897, 1363, 1477, 24541, 0, 258, 476, 5785, 14343, 19567, 258, 9891, 21902, 4147, 692, 258, 901, 568, 519, 9891, 3590, 1362, 799, 6585, 782, 540, 519, 10785, 543, 8060, 454, 258, 741, 5872, 780, 258, 476, 5785, 14343, 19567, 258, 476, 5785, 14343, 9339, 454, 258, 29313, 3036, 4811, 692, 5228, 14136, 1104, 27661, 5228, 32001, 1104, 2608, 692, 258, 476, 5785, 14343, 19567, 5035, 9891, 21902, 1384, 453, 12163, 453, 9377, 1149, 519, 3432, 540, 519, 11191, 454, 453, 12163, 453, 9915, 292, 3633, 815, 476, 272, 16963, 453, 18851, 3097, 453, 31262, 281, 3097, 453, 453, 22873, 658, 5314, 780, 453, 20373, 912, 453, 453, 1607, 3355, 2478, 519, 3859, 1062, 1362, 676, 2870, 782, 540, 519, 7440, 454, 453, 453, 663, 4946, 873, 547, 513, 1592, 780, 453, 6635, 7714, 912, 453, 19677, 281, 8682, 689, 1362, 563, 453, 18851, 453, 3097, 22592, 6449, 8181, 9191, 1345, 17107, 453, 19677, 14857, 30720, 815, 32001, 4590, 453, 19677, 14857, 17839, 1115, 815, 1582, 269, 22056, 23945, 564, 8266, 4590, 453, 19677, 269, 534, 1493, 4590, 453, 19677, 14857, 30720, 6230, 664, 299, 17274, 10797, 453, 18851, 3097, 453, 31262, 281, 3097, 453, 453, 22056, 23945, 564, 8266, 692, 453, 20373, 912, 453, 453, 1607, 5932, 513, 1592, 540, 782, 540, 519, 10785, 543, 1287, 813, 1742, 873, 547, 454, 453, 453, 534, 5044, 692, 453, 6635, 7714, 912, 453, 19677, 281, 8682, 689, 1362, 780, 453, 14303, 5281, 912, 453, 453, 17839, 1115, 281, 589, 1592, 540, 519, 10785, 563, 453, 18851, 28768, 22592, 1711, 23945, 564, 8266, 4311, 17107, 453, 453, 15711, 815, 14136, 4311, 14857, 30720, 267, 834, 26422, 2580, 476, 20065, 1822, 267, 476, 271, 267, 476, 271, 267, 476, 276, 267, 834, 344, 3641, 2580, 476, 271, 267, 476, 271, 267, 476, 271, 994, 453, 453, 1067, 322, 1722, 815, 14136, 4311, 14857, 30720, 267, 834, 300, 11697, 2580, 476, 271, 269, 6187, 267, 476, 271, 269, 4343, 278, 267, 476, 271, 267, 476, 276, 267, 834, 326, 9445, 2580, 476, 271, 269, 4343, 278, 272, 267, 476, 271, 269, 13078, 277, 267, 476, 9262, 269, 280, 7597, 994, 453, 453, 1597, 639, 815, 14136, 4311, 14857, 30720, 267, 834, 309, 523, 639, 2580, 476, 271, 269, 11025, 267, 476, 271, 269, 278, 2537, 267, 476, 271, 267, 476, 276, 267, 834, 528, 1052, 2580, 476, 271, 269, 278, 2537, 274, 267, 476, 271, 269, 24879, 279, 267, 476, 23470, 269, 3583, 272, 994, 453, 453, 24160, 815, 14136, 4311, 14857, 30720, 267, 834, 24618, 2580, 476, 272, 267, 476, 272, 267, 476, 271, 267, 476, 276, 267, 834, 19990, 2580, 476, 272, 269, 1822, 267, 476, 271, 269, 28318, 278, 267, 476, 18458, 269, 16348, 994, 453, 453, 332, 1513, 815, 14136, 4311, 14857, 30720, 267, 834, 300, 1513, 2580, 476, 271, 269, 1556, 267, 476, 272, 269, 276, 2190, 267, 476, 271, 267, 476, 276, 267, 834, 326, 1245, 273, 2580, 476, 272, 269, 276, 2767, 274, 267, 476, 271, 269, 6021, 274, 275, 267, 476, 6924, 277, 269, 7176, 994, 453, 453, 329, 17132, 815, 14136, 4311, 14857, 30720, 267, 834, 297, 17132, 2580, 476, 28766, 269, 279, 267, 476, 276, 269, 10711, 267, 476, 271, 267, 476, 276, 267, 834, 628, 16824, 275, 2580, 476, 276, 269, 1708, 279, 267, 476, 271, 269, 271, 4366, 275, 267, 476, 28242, 280, 269, 8287, 994, 453, 453, 338, 520, 1248, 815, 14136, 4311, 14857, 30720, 267, 834, 25823, 1248, 2580, 476, 4817, 269, 273, 267, 476, 280, 269, 6812, 273, 267, 476, 271, 267, 476, 276, 267, 834, 16223, 13403, 273, 2580, 476, 280, 269, 276, 4343, 279, 267, 476, 271, 269, 4962, 275, 273, 267, 476, 13040, 7906, 269, 3199, 276, 994, 453, 453, 584, 29104, 815, 14136, 4311, 14857, 30720, 267, 834, 308, 3757, 639, 2580, 476, 1691, 269, 277, 267, 476, 866, 269, 1001, 267, 476, 271, 267, 476, 276, 267, 834, 20391, 19990, 2580, 476, 866, 269, 4489, 275, 267, 476, 271, 269, 271, 5325, 273, 267, 476, 27420, 5038, 269, 27888, 994, 453, 453, 928, 31337, 815, 14136, 4311, 14857, 30720, 267, 834, 10468, 31337, 2580, 476, 1704, 269, 273, 267, 476, 1789, 269, 271, 5325, 267, 476, 271, 267, 476, 276, 267, 834, 5797, 531, 19990, 274, 2580, 476, 1789, 269, 6187, 272, 272, 267, 476, 271, 269, 25484, 277, 267, 476, 31430, 4366, 269, 3374, 2020, 453, 453, 17839, 1115, 815, 11713, 453, 453, 17839, 1115, 6910, 4433, 684, 994, 453, 453, 17839, 1115, 6910, 263, 1067, 322, 1722, 994, 453, 453, 17839, 1115, 6910, 263, 1597, 639, 994, 453, 453, 17839, 1115, 6910, 263, 24160, 994, 453, 453, 17839, 1115, 6910, 9852, 1513, 994, 453, 453, 17839, 1115, 6910, 27203, 17132, 994, 453, 453, 17839, 1115, 6910, 4433, 520, 1248, 994, 453, 453, 17839, 1115, 6910, 263, 584, 29104, 994, 453, 453, 17839, 1115, 6910, 263, 928, 31337, 2020, 453, 16596, 10785, 692, 453, 18851, 3097, 453, 31262, 281, 3097, 453, 453, 534, 1493, 692, 453, 20373, 912, 453, 453, 1607, 568, 1031, 547, 2196, 519, 4890, 14318, 540, 519, 3859, 1062, 269, 3097, 453, 453, 9336, 21767, 621, 1579, 1513, 519, 5496, 543, 1287, 14405, 1142, 540, 519, 3097, 453, 453, 17839, 1115, 780, 453, 6635, 7714, 912, 453, 19677, 281, 8682, 689, 1362, 563, 453, 18851, 28768, 22592, 606, 1493, 4311, 17107, 453, 19677, 14857, 30720, 269, 27234, 10797, 453, 22610, 4541, 538, 1582, 14857, 17839, 1115, 912, 4848, 453, 17839, 564, 269, 534, 1493, 3890, 4848, 692, 453, 19677, 14857, 30720, 269, 12898, 4311, 2529, 14154, 3633, 267, 1582, 269, 534, 1493, 994, 0, 258, 1692, 547, 1525, 513, 28607, 339, 758, 7762, 1210, 9226, 1477, 5814, 7510, 2246, 690, 14241, 1477, 5814, 942, 1477, 6853, 2246, 690, 14241, 269, 11902, 6579, 6347, 25539, 815, 8771, 1477, 6853, 2246, 690, 14241, 6230, 913, 2414, 263, 8287, 267, 4037, 279, 267, 273, 264, 258, 2998, 547, 3406, 10874, 1477, 6853, 2246, 690, 14241, 17085, 1157, 31476, 6853, 2246, 690, 14241, 269, 6943, 31095, 3488, 2998, 4355, 669, 4435, 3299, 269, 1839, 264, 1948, 1826, 543, 3406, 24440, 669, 4435, 1477, 6853, 2246, 690, 14241, 4877, 816, 3488, 10938, 20298, 5503, 4732, 2748, 263, 275, 10142, 6853, 2246, 690, 14241, 269, 6943, 31095, 3488, 4179, 2517, 4178, 6745, 1731, 339, 758, 2593, 3299, 269, 1839, 264, 1948, 10938, 1357, 3095, 538, 3406, 3046, 1477, 6853, 2246, 690, 14241, 4877, 816, 3488, 10938, 20298, 5503, 4732, 2748, 263, 273, 10142, 6853, 2246, 690, 14241, 6230, 913, 2414, 263, 278, 3607, 267, 476, 31079, 267, 476, 273, 264, 1948, 289, 582, 786, 979, 547, 4585, 1631, 1477, 6853, 2246, 690, 14241, 17085, 1157, 31476, 6853, 2246, 690, 14241, 6230, 913, 2414, 263, 13040, 267, 7742, 267, 476, 273, 264, 258, 289, 582, 786, 979, 547, 1739, 1477, 6853, 2246, 690, 14241, 17085, 1157, 31476, 6853, 2246, 690, 14241, 6230, 913, 2414, 263, 6321, 272, 267, 4375, 276, 267, 476, 275, 264, 1948, 289, 582, 786, 979, 547, 3381, 1477, 6853, 2246, 690, 14241, 17085, 1157, 31476, 1721, 1535, 538, 2039, 263, 271, 267, 276, 2567, 1948, 6011, 1082, 3381, 1775, 1616, 547, 1294, 4732, 6269, 846, 1775, 1616, 547, 1294, 476, 276, 3381, 269, 9767, 666, 4188, 2333, 610, 6175, 519, 2039, 1477, 825, 942, 4732, 2748, 263, 1015, 264, 1948, 31296, 3381, 585, 476, 1015, 3813, 1547, 9767, 666, 1689, 607, 596, 1616, 1477, 825, 7510, 2246, 690, 14241, 6230, 913, 2414, 263, 6321, 272, 267, 476, 4375, 276, 267, 272, 3738, 476, 1948, 899, 3381, 1477, 825, 7510, 2246, 690, 14241, 17085, 1157, 14052, 825, 7510, 2246, 690, 14241, 17085, 1157, 14052, 825, 7510, 2246, 690, 14241, 6230, 913, 2414, 263, 278, 8618, 267, 4375, 276, 267, 272, 264, 1948, 2452, 1985, 3381, 1477, 825, 7510, 2246, 690, 14241, 17085, 1157, 31476, 6853, 2246, 690, 14241, 6230, 913, 2414, 263, 13670, 279, 267, 274, 267, 476, 273, 264, 1948, 289, 582, 786, 2673, 11422, 1477, 6853, 2246, 690, 14241, 17085, 1157, 3890, 0, 5228, 19523, 1104, 2415, 341, 267, 14827, 692, 258, 7696, 281, 7024, 513, 1592, 540, 12673, 4646, 676, 29780, 519, 454, 258, 1915, 524, 693, 1142, 4994, 540, 5569, 521, 630, 10175, 1310, 521, 994, 258, 630, 324, 3052, 1421, 7696, 3488, 338, 3299, 1412, 13906, 10807, 7024, 18358, 2675, 520, 3299, 1412, 14369, 520, 3299, 1412, 4751, 3299, 1412, 322, 1846, 262, 7481, 3698, 7696, 6262, 267, 521, 2187, 453, 12133, 338, 815, 11713, 22610, 1775, 538, 2039, 263, 271, 267, 7003, 4433, 264, 1341, 476, 272, 2187, 453, 453, 12133, 338, 6910, 4433, 11468, 328, 316, 1341, 524, 1341, 521, 5157, 281, 7481, 16596, 7696, 338, 692, 258, 16849, 513, 1592, 540, 782, 32545, 540, 5569, 521, 454, 3698, 32545, 4433, 2187, 14851, 7003, 4433, 264, 2652, 476, 272, 912, 453, 16596, 1496, 338, 2639, 453, 19197, 7003, 4433, 264, 2652, 476, 273, 912, 453, 16596, 1496, 338, 267, 521, 11468, 18737, 272, 27663, 28432, 912, 453, 453, 704, 916, 815, 11713, 453, 22610, 512, 538, 32545, 4433, 314, 272, 281, 316 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 593, 519, 3923, 540, 4728, 799, 13978, 15399, 334, 4873, 269, 634, 2916, 3788, 6899, 585, 1034, 540, 519, 1032, 269, 4438, 4832, 267, 538, 513, 4686, 2013, 519, 2837, 4422, 15399, 334, 476, 2412, 4110, 563, 5475, 4832, 4991, 936, 267, 14175, 344, 4005, 5956, 4358, 689, 3923, 5147, 543, 3788, 11489, 5239, 269, 2991, 3933, 22792, 4005, 267, 15604, 13788, 543, 5170, 11489, 5988, 269, 715, 1301, 3385, 5211, 666, 1376, 547, 24492, 1282, 519, 7050, 22856, 799, 2333, 1981, 540, 17160, 269, 634, 2679, 540, 21394, 948, 538, 9013, 3510, 540, 6360, 269, 1809, 6360, 568, 2141, 2009, 538, 713, 2749, 1282, 519, 24925, 4005, 269, 12875, 1235, 1590, 2057, 4058, 7552, 538, 14175, 344, 17897, 269, 0, 288, 16775, 295, 19181, 295, 4456, 570, 4932, 303, 4041, 25886, 32473, 5442, 19489, 7246, 3582, 9474, 27345, 589, 16775, 295, 19181, 295, 4456, 717, 13263, 295, 2562, 8980, 2752, 454, 288, 16775, 295, 19181, 295, 4456, 570, 4932, 303, 4041, 25886, 18737, 589, 802, 14551, 5069, 519, 11454, 540, 4210, 3133, 541, 18885, 538, 717, 663, 327, 514, 26196, 568, 4583, 782, 936, 30899, 520, 269, 26023, 267, 3127, 568, 519, 1034, 3909, 1747, 1141, 18459, 616, 7281, 269, 898, 568, 8300, 676, 962, 690, 25702, 4210, 9564, 519, 8772, 5289, 24288, 540, 7083, 4210, 3133, 541, 18885, 2687, 547, 519, 21000, 1588, 540, 4210, 3133, 541, 18885, 18420, 269, 901, 568, 1711, 676, 623, 1090, 4157, 327, 4210, 9564, 519, 11359, 5289, 24288, 540, 7083, 4210, 3133, 541, 18885, 2687, 547, 519, 21000, 1588, 540, 18420, 269, 3245, 14076, 553, 22474, 267, 476, 277, 267, 1822, 9748, 540, 11909, 32498, 941, 946, 538, 519, 4070, 540, 589, 802, 14551, 5069, 13495, 597, 693, 519, 8998, 540, 476, 2537, 14092, 516, 1950, 563, 763, 6482, 540, 589, 802, 14551, 5069, 13495, 597, 799, 3800, 547, 476, 10482, 3952, 1164, 267, 476, 13301, 3952, 1279, 267, 476, 14530, 3952, 2647, 269, 5015, 267, 17972, 899, 476, 9032, 1286, 557, 22225, 267, 476, 279, 2545, 935, 625, 267, 476, 1704, 546, 2345, 267, 476, 25784, 9380, 539, 4137, 543, 476, 13136, 6149, 20832, 269, 769, 13495, 597, 609, 519, 13076, 540, 966, 14037, 11265, 3741, 267, 1100, 5374, 610, 4401, 814, 1044, 946, 9170, 269, 13495, 597, 779, 3844, 12068, 8075, 513, 5722, 20356, 2389, 718, 267, 4154, 6978, 539, 544, 4669, 328, 610, 2868, 569, 3239, 4210, 3133, 541, 18885, 945, 568, 10847, 676, 13794, 607, 2696, 269, 634, 544, 4669, 328, 26520, 2390, 513, 1614, 20356, 19516, 531, 543, 22179, 476, 272, 269, 273, 9748, 269, 2755, 267, 2201, 5181, 476, 1220, 273, 1079, 11439, 9810, 1235, 4323, 589, 802, 14551, 5069, 543, 972, 729, 519, 2669, 540, 476, 3451, 1004, 269, 2755, 2060, 519, 948, 2817, 8232, 15050, 1079, 9810, 1235, 941, 6146, 269, 589, 11755, 10198, 3366, 676, 623, 1090, 4157, 327, 4210, 9564, 543, 476, 1789, 267, 1822, 1004, 7390, 11755, 269, 13495, 597, 4991, 556, 268, 13449, 1175, 1310, 476, 1691, 2395, 540, 519, 4323, 563, 20118, 267, 2290, 540, 519, 1034, 2442, 2982, 538, 589, 802, 14551, 5069, 13527, 568, 9045, 16644, 527, 268, 2304, 663, 4826, 8058, 269, 898, 568, 519, 9059, 676, 519, 1482, 946, 540, 3595, 267, 32446, 267, 27515, 267, 8955, 267, 1216, 5496, 16879, 267, 2575, 543, 2661, 2773, 269, 1703, 1418, 1047, 14266, 3252, 3330, 519, 13495, 597, 602, 29608, 1148, 267, 2257, 267, 2528, 543, 17035, 269, 18738, 13495, 597, 267, 972, 616, 2947, 2462, 31508, 585, 1401, 22128, 3483, 269, 9182, 267, 901, 11454, 568, 2198, 622, 693, 717, 663, 327, 514, 26196, 799, 568, 519, 7887, 11454, 538, 3127, 269, 9747, 267, 901, 1747, 568, 513, 2101, 19623, 1747, 1141, 811, 1004, 6908, 547, 269, 0, 27246, 267, 12580, 543, 16473, 633, 21474, 540, 715, 841, 674, 2426, 639, 454, 301, 841, 17343, 568, 606, 3968, 602, 4991, 538, 998, 18015, 538, 707, 18969, 269, 2659, 18969, 949, 5394, 523, 267, 23209, 528, 543, 1835, 18443, 693, 519, 6316, 950, 519, 17970, 17343, 6238, 10825, 269, 1411, 666, 1852, 519, 1928, 2404, 609, 519, 3968, 998, 1582, 13282, 3268, 543, 6646, 269, 634, 19319, 540, 17970, 17343, 568, 602, 519, 3968, 949, 9888, 1256, 1310, 3811, 2126, 269, 774, 1157, 2989, 18969, 949, 581, 513, 1129, 540, 17970, 17343, 269, 1879, 707, 18969, 616, 23209, 1819, 621, 1522, 1611, 596, 723, 17970, 17343, 269, 674, 9567, 1159, 2454, 540, 3952, 543, 25302, 18969, 949, 1611, 596, 723, 17970, 17343, 563, 2791, 666, 1205, 16507, 17970, 5563, 689, 1585, 16507, 7103, 269, 14717, 770, 543, 9044, 849, 2014, 17970, 5563, 269, 715, 5661, 1831, 28221, 543, 3819, 607, 789, 2085, 269, 634, 17343, 13788, 998, 519, 18015, 2813, 1310, 713, 269, 715, 841, 17343, 568, 3361, 676, 4057, 10009, 540, 1973, 547, 519, 3952, 269, 4658, 945, 723, 513, 4617, 4761, 1062, 1419, 7985, 689, 17970, 17343, 269, 634, 2601, 1946, 17970, 17343, 19082, 3728, 568, 1317, 621, 7575, 689, 835, 23179, 547, 1776, 269, 29303, 11953, 20584, 538, 14927, 18497, 2127, 568, 5906, 1317, 621, 3123, 17970, 17343, 269, 19724, 2960, 7063, 543, 17970, 7063, 949, 1291, 547, 17970, 17343, 563, 5353, 3164, 2665, 540, 17970, 17343, 666, 581, 11213, 543, 949, 2014, 8628, 3441, 547, 707, 18969, 269, 4658, 945, 7985, 689, 3987, 7985, 689, 17970, 17343, 1317, 972, 568, 4057, 10009, 540, 1973, 547, 519, 18969, 269, 901, 1797, 789, 949, 7985, 3978, 7063, 689, 513, 5634, 5945, 547, 519, 3952, 269, 901, 568, 1946, 621, 568, 19624, 547, 1294, 707, 4387, 952, 596, 616, 7092, 689, 17970, 17343, 269, 1703, 616, 1114, 2081, 538, 799, 596, 666, 2061, 17970, 17343, 269, 2290, 540, 519, 2101, 15324, 3800, 568, 998, 11067, 707, 3946, 543, 3952, 5781, 269, 1411, 1058, 11547, 707, 3946, 1169, 942, 596, 5905, 707, 7783, 17970, 269, 901, 2337, 538, 4180, 602, 596, 1810, 1406, 3262, 519, 3968, 269, 2991, 11067, 707, 18969, 2327, 596, 5848, 584, 1125, 873, 269, 1411, 1058, 849, 21149, 707, 17970, 2759, 614, 1354, 5969, 707, 18969, 269, 1879, 16013, 2719, 707, 18969, 16013, 2786, 2066, 543, 1287, 1159, 2393, 1156, 519, 8728, 609, 513, 3758, 269, 2353, 519, 5394, 2989, 2127, 593, 707, 18969, 1058, 849, 581, 19429, 1524, 269, 2991, 16013, 2719, 21149, 707, 17970, 804, 23124, 269, 6271, 15324, 2268, 568, 9849, 17570, 268, 25388, 6883, 26852, 269, 1411, 949, 849, 1689, 707, 26852, 2429, 519, 1554, 547, 2061, 3478, 17970, 17343, 269, 901, 568, 1813, 547, 519, 1249, 602, 1004, 4171, 7953, 17570, 513, 2603, 616, 12155, 547, 17970, 17343, 269, 6271, 1259, 540, 7303, 17970, 17343, 568, 9849, 31321, 950, 6972, 538, 14927, 18497, 2127, 899, 10977, 20115, 269, 1879, 596, 4444, 10887, 267, 2327, 596, 3442, 1346, 10887, 609, 2326, 602, 13236, 269, 1411, 666, 2057, 24931, 17970, 17343, 676, 4758, 909, 593, 17970, 32432, 543, 5841, 18969, 563, 310, 904, 538, 6904, 21558, 1677, 523, 841, 31203, 568, 5484, 1030, 2772, 547, 1411, 454, 2467, 616, 1082, 1004, 945, 1205, 519, 547, 523, 841, 16507, 3968, 267, 865, 952, 596, 723, 711, 596, 616, 711, 4805, 269, 1703, 616, 930, 2550, 945, 7985, 689, 713, 2186, 540, 3968, 269, 31598, 1018, 1082, 2550, 949, 711, 917, 568, 2436, 789, 666, 4894, 519, 3644, 1210, 513, 3728, 1184, 1634, 607, 519, 547, 523, 841, 17343, 8851, 269, 634, 8851, 1184, 2882, 1079, 1114, 1379, 22795, 9357, 707, 3952, 2960, 269, 1703, 616, 1082, 4128, 1946, 519, 1184, 568, 835, 540, 519, 1655, 5773, 547, 1521, 519, 2068, 563, 6624, 4782, 519, 5650, 1317, 596, 666, 581, 5280, 1510, 1022, 1928, 693, 782, 543, 1510, 2348, 547, 8430, 585, 824, 20499, 269, 3509, 1004, 786, 581, 6126, 609, 1022, 2126, 602, 568, 711, 4929, 873, 1022, 1928, 269, 634, 1655, 3364, 568, 602, 596, 666, 11177, 707, 19462, 1510, 865, 1454, 1928, 269, 1703, 568, 1100, 2601, 1946, 596, 3112, 979, 998, 519, 1184, 607, 596, 786, 711, 1995, 1022, 1928, 269, 2311, 519, 1482, 942, 596, 917, 596, 786, 1205, 25713, 15564, 25378, 2164, 950, 596, 979, 998, 519, 1184, 563, 763, 5650, 568, 849, 5140, 1317, 621, 9607, 519, 23179, 1510, 4929, 519, 1966, 547, 1022, 824, 851, 540, 519, 1560, 269, 3509, 1114, 2010, 540, 2126, 4734, 1360, 1082, 824, 2127, 4299, 676, 519, 2126, 269, 1411, 949, 581, 5701, 267, 855, 519, 2960, 949, 723, 513, 8628, 10077, 269, 2334, 568, 711, 519, 2013, 609, 519, 8955, 547, 523, 841, 2126, 1184, 269, 18766, 689, 1373, 1928, 1652, 621, 849, 1281, 711, 1860, 519, 2960, 538, 1022, 1259, 269, 1411, 991, 547, 3717, 609, 707, 10629, 952, 596, 723, 713, 2186, 540, 1966, 563, 763, 1184, 568, 711, 2404, 609, 1022, 2427, 2360, 269, 4033, 6527, 949, 948, 2312, 519, 1966, 855, 949, 1439, 909, 4929, 1776, 269, 23875, 786, 581, 2451, 547, 1397, 602, 596, 723, 814, 2042, 269, 1411, 1152, 723, 519, 4299, 1747, 5701, 855, 824, 2694, 786, 711, 7985, 1317, 540, 602, 269, 8307, 519, 23179, 602, 814, 513, 1966, 786, 4309, 2126, 1510, 7133, 824, 2127, 540, 519, 1560, 563, 5194, 5413, 568, 602, 596, 798, 711, 991, 513, 2603, 540, 942, 585, 519, 1184, 269, 4495, 596, 3643, 519, 4387, 596, 1152, 991, 827, 606, 5662, 547, 723, 519, 5650, 2944, 269, 1411, 849, 786, 711, 991, 513, 1246, 909, 899, 621, 568, 513, 2013, 609, 1082, 824, 5773, 269, 634, 824, 1655, 3364, 568, 602, 1256, 1498, 519, 1184, 1281, 711, 1491, 1279, 519, 2164, 1118, 1360, 1279, 269, 2991, 519, 2126, 267, 596, 786, 711, 723, 547, 1832, 1433, 532, 585, 20499, 609, 707, 4387, 585, 513, 1246, 5346, 269, 4475, 1577, 938, 4387, 6023, 596, 8521, 5976, 952, 596, 723, 1022, 2068, 899, 713, 610, 1224, 811, 1631, 827, 971, 5563, 269, 1175, 1118, 2386, 596, 1433, 519, 1655, 6709, 531, 1881, 4387, 585, 519, 5650, 269, 1411, 666, 1287, 581, 2386, 596, 1205, 7759, 540, 519, 3968, 7357, 563, 19522, 547, 6435, 1411, 3683, 2492, 715, 841, 674, 2426, 639, 609, 519, 11374, 9669, 563, 2691, 596, 616, 7092, 689, 17970, 17343, 621, 666, 581, 513, 21898, 547, 707, 1272, 585, 513, 7008, 540, 1296, 952, 596, 798, 711, 723, 519, 1318, 8323, 269, 1411, 991, 547, 2327, 602, 596, 1205, 547, 4137, 856, 513, 5650, 602, 786, 948, 596, 1205, 519, 1655, 950, 621, 2501, 547, 3028, 538, 519, 1318, 6073, 269, 634, 5650, 568, 1031, 585, 519, 1655, 2186, 540, 2126, 607, 621, 786, 723, 519, 1655, 2533, 585, 596, 563, 763, 1297, 835, 3364, 602, 596, 991, 547, 4137, 856, 568, 547, 16013, 519, 18969, 538, 519, 1655, 1259, 269, 901, 1058, 581, 2944, 1354, 596, 1491, 513, 8602, 865, 602, 596, 666, 1101, 9004, 519, 4025, 602, 519, 13271, 786, 1332, 269, 5269, 2386, 602, 596, 798, 711, 2759, 519, 2759, 2873, 607, 713, 786, 1860, 596, 811, 1813, 547, 1585, 5773, 602, 786, 1832, 596, 2324, 538, 519, 1318, 6073, 269, 1411, 991, 547, 1832, 519, 19462, 2922, 865, 602, 596, 798, 711, 1118, 811, 7063, 593, 707, 19462, 267, 581, 2386, 547, 2015, 519, 1318, 7252, 602, 596, 991, 547, 5872, 519, 1318, 6073, 269, 2142, 2386, 547, 1491, 707, 942, 3843, 547, 4137, 856, 519, 1318, 2994, 547, 1832, 596, 2469, 538, 519, 1318, 6073, 563, 2026, 1279, 607, 596, 723, 713, 1344, 7074, 267, 596, 12582, 1406, 1589, 827, 602, 8602, 20471, 269, 8074, 602, 693, 713, 942, 267, 1100, 991, 585, 865, 1136, 707, 9491, 1716, 5661, 610, 547, 523, 5661, 2687, 547, 519, 7426, 269, 898, 1522, 3100, 899, 1945, 596, 1058, 11716, 855, 693, 519, 1439, 540, 519, 1554, 267, 596, 786, 1205, 519, 3390, 540, 28920, 32281, 799, 568, 3361, 1310, 7269, 540, 519, 18969, 269, 2659, 18969, 786, 581, 1100, 1114, 689, 1018, 4523, 547, 513, 26703, 538, 519, 1216, 269, 4107, 540, 519, 17694, 693, 713, 942, 786, 581, 2111, 547, 23309, 998, 950, 519, 18969, 616, 2571, 2614, 543, 1310, 7269, 269, 1879, 602, 4523, 267, 596, 1058, 519, 1655, 3364, 596, 2503, 568, 17343, 1247, 596, 1058, 581, 8156, 621, 563, 29493, 1154, 18969, 568, 606, 1898, 5650, 538, 713, 2126, 596, 991, 547, 798, 543, 1869, 798, 811, 1519, 3478, 7759, 540, 707, 32432, 269, 2986, 1576, 267, 621, 1522, 581, 513, 31484, 548, 547, 798 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 585, 519, 1101, 942, 547, 938, 1702, 593, 513, 2518, 4336, 267, 519, 4598, 540, 2627, 7297, 547, 3226, 6757, 6694, 5521, 15969, 269, 1284, 7318, 2436, 6027, 5521, 8336, 9830, 630, 300, 2975, 338, 282, 1775, 4318, 1421, 3067, 1881, 5521, 8336, 9830, 264, 9765, 741, 21512, 299, 338, 543, 875, 4220, 4096, 593, 5521, 8336, 1646, 936, 942, 543, 5569, 1890, 540, 2825, 7939, 269, 3776, 2079, 8761, 602, 631, 2975, 338, 2049, 10355, 630, 328, 4318, 1421, 606, 6059, 476, 9032, 269, 275, 260, 540, 9382, 5342, 1336, 1100, 631, 2975, 338, 264, 543, 972, 568, 513, 2347, 3668, 540, 3621, 5464, 1239, 585, 3980, 376, 3445, 260, 540, 2518, 5186, 680, 663, 269, 4107, 11932, 267, 540, 519, 476, 1556, 267, 4968, 631, 2975, 338, 267, 476, 7367, 269, 275, 260, 630, 276, 267, 280, 1428, 2665, 282, 476, 6924, 269, 276, 260, 540, 519, 4609, 264, 25295, 519, 21512, 299, 585, 2901, 2627, 1216, 630, 20670, 11862, 310, 264, 610, 21439, 269, 4935, 267, 519, 6211, 8699, 540, 2518, 1216, 2200, 568, 693, 513, 8101, 1981, 269, 21512, 11862, 310, 9765, 1734, 4096, 593, 519, 6952, 618, 2450, 267, 10386, 12512, 267, 543, 10386, 4266, 282, 616, 3648, 2362, 585, 18960, 22831, 5521, 15969, 630, 328, 4318, 1421, 7510, 516, 628, 28281, 5148, 543, 616, 1164, 1256, 538, 2477, 609, 22608, 2825, 6042, 269, 1452, 2164, 2303, 519, 991, 585, 5001, 9283, 547, 1699, 23561, 6042, 543, 6694, 23561, 3498, 2853, 543, 585, 14556, 1881, 1382, 3646, 593, 519, 4527, 543, 2360, 540, 13851, 896, 1483, 8996, 2175, 563, 21900, 617, 18341, 566, 949, 581, 519, 1034, 1271, 17594, 1184, 585, 524, 31525, 30950, 514, 11216, 538, 2627, 1216, 269, 595, 1030, 1794, 22223, 630, 20003, 313, 264, 543, 524, 32397, 777, 597, 514, 630, 290, 17025, 264, 23384, 5631, 1463, 2584, 565, 1736, 630, 339, 263, 16006, 264, 815, 476, 271, 269, 278, 267, 476, 274, 269, 280, 554, 1070, 1247, 524, 31525, 1410, 514, 630, 20003, 311, 264, 543, 524, 32397, 2784, 710, 630, 20003, 291, 264, 941, 5631, 9927, 676, 9940, 2584, 565, 1736, 267, 799, 1282, 519, 1184, 513, 22833, 12365, 622, 10276, 327, 2331, 24277, 1062, 8329, 1034, 547, 519, 2530, 2557, 540, 18435, 311, 267, 18435, 291, 267, 543, 524, 1030, 582, 1314, 830, 630, 6311, 311, 264, 630, 339, 263, 16006, 264, 815, 476, 275, 269, 276, 267, 476, 276, 269, 274, 267, 543, 476, 272, 269, 274, 554, 267, 6606, 1040, 12524, 1239, 6700, 602, 22833, 12365, 622, 8476, 519, 2584, 582, 4920, 4146, 540, 18435, 291, 543, 18435, 311, 538, 2067, 1216, 5054, 269, 1879, 1031, 1927, 267, 12971, 263, 274, 7565, 268, 1070, 670, 4596, 263, 274, 7565, 268, 1070, 543, 667, 6865, 5702, 20533, 519, 2584, 565, 1736, 2623, 538, 519, 808, 532, 1889, 328, 5211, 543, 941, 519, 16999, 21876, 538, 519, 12556, 540, 524, 31525, 30950, 1231, 269, 570, 8016, 543, 676, 335, 20094, 941, 11567, 543, 4857, 269, 6034, 2584, 565, 1736, 3366, 547, 1232, 541, 7901, 2643, 566, 540, 18435, 291, 267, 18435, 311, 267, 543, 595, 17025, 269, 26306, 1152, 630, 7224, 7777, 1436, 264, 540, 782, 524, 31525, 30950, 1231, 729, 4767, 998, 1463, 2584, 565, 1736, 282, 676, 335, 20094, 941, 1336, 547, 581, 1256, 1447, 2584, 565, 629, 850, 543, 811, 6757, 630, 16129, 519, 5843, 1729, 343, 1449, 1040, 18435, 313, 17820, 519, 16999, 8650, 17219, 1310, 1175, 513, 1906, 3108, 267, 799, 949, 581, 7361, 11911, 547, 922, 476, 276, 2173, 14007, 268, 272, 267, 274, 267, 275, 6253, 328, 611, 27927, 1961, 268, 273, 6253, 2723, 4779, 328, 1214, 269, 3509, 31534, 941, 5892, 1634, 547, 10929, 1463, 7943, 2584, 565, 1736, 543, 7004, 538, 2627, 7297, 282, 2705, 267, 519, 5348, 1120, 2065, 2333, 538, 17219, 3361, 676, 713, 15483, 18571, 630, 16129, 14453, 2584, 984, 2988, 20094, 264, 3112, 581, 16053, 543, 11562, 1218, 2104, 1382, 3007, 563, 763, 2584, 617, 18341, 566, 543, 1979, 5328, 7004, 540, 519, 31534, 19984, 665, 12578, 630, 17162, 290, 1070, 911, 24703, 565, 630, 307, 6938, 264, 543, 9006, 331, 2378, 1314, 710, 630, 309, 2894, 1070, 543, 540, 519, 31571, 744, 17393, 332, 14007, 339, 1090, 611, 565, 630, 7495, 307, 264, 543, 744, 17393, 332, 14007, 1597, 331, 2378, 1314, 710, 630, 7495, 309, 264, 538, 519, 12748, 2825, 723, 1044, 11567, 269, 7353, 617, 18341, 566, 6901, 941, 5645, 856, 1210, 513, 5420, 2604, 29666, 17689, 630, 331, 1987, 2218, 6901, 264, 543, 2067, 7943, 630, 7615, 6901, 1040, 667, 18341, 566, 540, 519, 3077, 7135, 4553, 513, 1101, 19195, 15452, 2203, 269, 26162, 540, 1463, 2584, 617, 18341, 566, 630, 2775, 10338, 676, 519, 7135, 3294, 264, 693, 9063, 476, 277, 269, 280, 941, 1360, 1970, 585, 782, 540, 519, 3077, 2555, 5052, 630, 414, 358, 377, 271, 269, 22650, 280, 327, 8987, 272, 264, 1210, 513, 29666, 17689, 543, 2340, 358, 377, 271, 269, 16573, 278, 327, 8987, 272, 264, 1210, 2067, 7943, 1070, 1247, 3928, 540, 9940, 2584, 617, 18341, 566, 630, 323, 18341, 566, 540, 519, 7135, 998, 6337, 31731, 9088, 264, 538, 5757, 1216, 693, 9063, 476, 278, 269, 276, 941, 5111, 476, 6795, 630, 17162, 290, 1070, 476, 276, 630, 307, 6938, 1070, 476, 279, 630, 309, 2894, 1070, 476, 1428, 630, 7495, 307, 264, 543, 476, 1724, 2053, 630, 7495, 309, 264, 2362, 982, 519, 3928, 5833, 689, 519, 6901, 538, 3706, 1905, 675, 1216, 269, 634, 18965, 2584, 617, 18341, 566, 540, 519, 3077, 7135, 538, 2067, 1216, 568, 11911, 5631, 547, 519, 5250, 540, 18038, 2643, 18119, 998, 2584, 12950, 6547, 269, 645, 8438, 630, 332, 17853, 264, 12159, 540, 519, 3077, 7135, 538, 2627, 1216, 814, 1044, 3254, 547, 2049, 693, 1360, 1970, 3928, 630, 414, 358, 377, 271, 269, 1822, 3066, 327, 8987, 272, 26895, 634, 3368, 3734, 2053, 5462, 689, 519, 2361, 6901, 941, 476, 4029, 630, 17162, 290, 1070, 476, 10463, 630, 307, 6938, 1070, 476, 7906, 630, 309, 2894, 1070, 476, 2641, 630, 7495, 307, 264, 543, 476, 1240, 327, 630, 7495, 309, 264, 6236, 782, 2009, 6127, 540, 12159, 585, 519, 3077, 7135, 538, 5757, 1216, 630, 29715, 2584, 617, 18341, 566, 267, 9940, 2584, 617, 18341, 566, 543, 1979, 5328, 12159, 1916, 10403, 2000, 1516, 993, 4141, 321, 2801, 630, 293, 6369, 264, 616, 1761, 23854, 540, 6181, 542, 7578, 538, 12748, 5054, 269, 1717, 267, 519, 26220, 2078, 1063, 1585, 6181, 542, 7578, 543, 993, 4141, 321, 2801, 3788, 15458, 269, 769, 713, 1353, 267, 2627, 1216, 5439, 941, 10356, 689, 1079, 8933, 585, 10442, 26220, 6181, 542, 7578, 269, 2782, 1067, 1216, 2837, 568, 2565, 547, 519, 6228, 540, 6181, 542, 7578, 269, 901, 1267, 5267, 602, 993, 4141, 321, 2801, 949, 581, 5363, 538, 4509, 6181, 542, 7578, 538, 2067, 5054, 1317, 15911, 5210, 1223, 3986, 8934, 4345, 566, 540, 6181, 542, 7578, 538, 993, 4141, 321, 2801, 269, 1284, 1985, 1031, 6375, 558, 8568, 9668, 630, 296, 5960, 264, 547, 2697, 29414, 6181, 542, 7578, 543, 4894, 1034, 1863, 6181, 542, 7578, 1354, 16326, 519, 26220, 3283, 538, 28729, 23353, 993, 4141, 321, 2801, 269, 6181, 542, 7578, 13969, 32166, 729, 9571, 538, 782, 519, 4485, 267, 30260, 602, 519, 19800, 568, 513, 31399, 894, 993, 4141, 321, 2801, 21313, 269, 1635, 4334, 267, 1079, 8078, 622, 993, 4141, 321, 2801, 15495, 267, 6181, 542, 7578, 6438, 993, 4141, 4472, 13596, 630, 17247, 4338, 338, 264, 476, 279, 543, 476, 280, 267, 941, 9571, 1152, 538, 23353, 993, 4141, 321, 2801, 269, 1717, 267, 1896, 4608, 738, 3293, 6181, 542, 7578, 941, 9571, 1152, 538, 519, 29414, 5439, 269, 5221, 519, 4527, 540, 1761, 14747, 267, 12077, 21502, 600, 4141, 9346, 2357, 332, 6134, 529, 267, 3600, 13183, 600, 4141, 9346, 24094, 269, 543, 10878, 1122, 2401, 807, 27615, 828, 328, 267, 729, 9672, 538, 519, 5439, 602, 8659, 29296, 6181, 542, 7578, 267, 4608, 738, 3293, 6181, 542, 7578, 949, 7639, 10446, 540, 993, 4141, 321, 2801, 269, 16332, 558, 8568, 9668, 543, 993, 4141, 321, 2801, 23918, 949, 723, 1201, 22460, 1871, 585, 16326, 26220, 6181, 542, 7578, 538, 2627, 7297, 563, 6624, 1699, 24659, 9781, 3646, 1631, 6451, 2627, 1216, 543, 15780, 585, 5883, 1216, 2200, 2094, 519, 15377, 1063, 15780, 543, 2627, 1216, 991, 513, 2027, 1445, 6236, 519, 4657, 2916, 269, 634, 3310, 540, 15780, 6384, 593, 1216, 543, 1648, 3666, 3334, 568, 11567, 538, 519, 31315, 5211, 19438, 630, 17876, 289, 264, 676, 23993, 519, 24438, 5606, 2830, 1674, 27519, 630, 309, 2975, 264, 543, 17834, 5263, 299, 8582, 3631, 630, 309, 2975, 5336, 293, 264, 585, 519, 1974, 540, 476, 2735, 277, 998, 476, 14225, 273, 269, 589, 476, 275, 269, 275, 260, 2333, 538, 3490, 8928, 543, 513, 476, 1015, 269, 274, 260, 6175, 538, 8445, 8928, 616, 6059, 676, 966, 2975, 5336, 293, 3379, 547, 519, 966, 2975, 2203, 538, 22804, 289, 269, 634, 966, 2975, 5336, 293, 2203, 2982, 1713, 6454, 538, 519, 6908, 6503, 11191, 630, 301, 1662, 4149, 583, 743, 858, 324, 4398, 1496, 10064, 292, 316, 540, 476, 271, 269, 10019, 264, 693, 3751, 10830, 267, 1141, 519, 966, 2975, 2203, 1223, 711, 7001, 519, 1198, 540, 5614, 11166, 538, 519, 6908, 6503, 11191, 630, 10064, 292, 540, 910, 271, 269, 1789, 5148, 2705, 267, 519, 6908, 6503, 9193, 1397, 606, 2949, 13302, 7678, 269, 5565, 2916, 7653, 8204, 11667, 543, 1164, 10237, 894, 16519, 322, 902, 971, 607, 11347, 5834, 11444, 476, 275, 269, 276, 543, 476, 279, 269, 276, 1397, 606, 3328, 2333, 538, 519, 1216, 3349, 6173, 725, 1063, 476, 273, 269, 272, 543, 476, 273, 269, 277, 544, 630, 277, 269, 280, 543, 476, 279, 269, 276, 3952, 264, 998, 519, 1032, 476, 14225, 273, 269, 634, 8901, 3270, 540, 891, 15377, 1397, 513, 2362, 15780, 15038, 540, 476, 1428, 544, 630, 2004, 3952, 264, 538, 519, 19654, 1858, 543, 513, 2539, 15038, 540, 909, 547, 476, 274, 544, 630, 1015, 3952, 264, 538, 519, 25318, 1858, 269, 16340, 569, 267, 713, 1353, 7028, 2164, 540, 3105, 960, 11744, 602, 7471, 4879, 540, 15780, 1606, 16577, 1216, 6087, 8639, 547, 3666, 23028, 267, 22507, 543, 3490, 2095, 2115, 543, 547, 4383, 519, 7297, 515, 1091, 602, 616, 16271, 547, 1480, 12503, 811, 30396, 563, 2171, 6896, 513, 24921, 25703, 4603, 538, 519, 1106, 540, 513, 25135, 14653, 10386, 5859, 547, 2708, 519, 8901, 3892, 540, 9436, 1151, 2373, 267, 12077, 267, 24277, 267, 16139, 1756, 543, 15702, 5214, 9436, 630, 291, 2177, 1070, 538, 4436, 2627, 7297, 269, 769, 1880, 267, 649, 11567, 630, 328, 264, 2436, 24921, 25703, 568, 513, 10257, 10386, 1505, 538, 3289, 14347, 543, 630, 4512, 264, 1018, 519, 2360, 540, 2551, 5860, 267, 3037, 1208, 639, 1543, 543, 27442, 1076, 2244, 941, 593, 4890, 9436, 1151, 1393, 9830, 543, 2627, 1216, 2298, 269, 634, 8579, 9382, 7000, 513, 1713, 9756, 1063, 24277, 543, 27442, 1076, 2244, 630, 271, 269, 5379, 1070, 607, 1134, 607, 3037, 1208, 639, 1543, 630, 271, 269, 4391, 264, 855, 513, 4617, 9756, 609, 2551, 5860, 630, 271, 269, 1321, 1040, 667, 2177, 21374, 941, 4617, 855, 1713, 609, 1208, 639, 1543, 630, 271, 269, 1691, 264, 543, 27442, 1076, 2244, 630, 271, 269, 1724, 1040, 634, 1611, 9295, 540, 667, 2177, 547, 2698, 15702, 9436, 729, 476, 2420, 10065, 27842, 941, 9286, 607, 1216, 2298, 1362, 4083, 610, 1657, 267, 1739, 519, 3864, 4826, 17563, 6034, 633, 585, 24277, 543, 16139, 1756, 630, 7871, 260, 543, 476, 11025, 9077, 6606, 1040, 18844, 1091, 25703, 5828, 856, 547, 581, 513, 3730, 1505, 547, 2708, 519, 8901, 3892, 540, 6908, 1151, 2373, 267, 607, 9645, 5666, 540, 5439, 941, 6394, 609, 26483, 2370, 4674, 563, 307, 13759, 476, 277, 269, 275, 540, 519, 5063, 7550, 12655, 4886, 17644, 630, 16256, 19199, 264, 9388, 609, 519, 5786, 540, 1216, 20317, 269, 1677, 6895, 3356, 2509, 713, 3077, 267, 1079, 10832, 616, 1031, 281, 25824, 1807, 476, 277, 269, 275, 269, 272, 7893, 1216, 946, 4398, 543, 476, 277, 269, 275, 269, 273, 7893, 519, 1377, 540, 1216, 2566, 630, 16703, 1040, 901, 1957, 6663, 547, 2697, 2436, 519, 4867, 6069, 13525, 476, 277, 269, 275, 269, 273, 15109, 519, 1114, 2609, 602, 991, 547, 581 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3152, 8594, 540, 5563, 563, 5278, 6646, 2427, 2360, 786, 1331, 3819, 5023, 607, 1134, 269, 27276, 7899, 540, 1216, 547, 1832, 707, 5023, 5848, 269, 1809, 2911, 547, 707, 11290, 827, 5312, 3819, 5023, 547, 8207, 519, 10835, 1354, 621, 666, 1291, 547, 29083, 5711, 1072, 563, 290, 4321, 13207, 710, 2598, 4533, 338, 17327, 20904, 454, 288, 3101, 666, 1291, 547, 606, 2799, 1981, 540, 5042, 14524, 1813, 547, 2175, 899, 12110, 610, 12216, 779, 2068, 269, 769, 519, 2680, 540, 5042, 7771, 267, 606, 1367, 1522, 7340, 547, 2347, 1978, 4247, 543, 13467, 269, 1403, 789, 798, 711, 6529, 547, 513, 5812, 5711, 9882, 20786, 267, 789, 1223, 3068, 3978, 4539, 585, 741, 5711, 1072, 563, 2791, 1590, 11453, 707, 4522, 543, 19568, 538, 513, 12905, 6752, 547, 4894, 5739, 15799, 543, 4551, 1354, 789, 10413, 707, 12837, 269, 19227, 267, 707, 18604, 4522, 1223, 3068, 513, 3152, 4960, 540, 8108, 19659, 269, 2659, 11290, 666, 948, 596, 1265, 519, 1318, 693, 25571, 1416, 547, 1832, 707, 12837, 2973, 543, 2635, 607, 596, 2085, 269, 0, 763, 28481, 2086, 328, 540, 5507, 3454, 328, 10256, 2220, 749, 607, 789, 1451, 519, 2749, 781, 10754, 563, 2005, 3884, 1405, 2653, 1373, 513, 5507, 3454, 328, 9920, 269, 1809, 1281, 621, 1689, 707, 2634, 286, 1306, 1134, 607, 9319, 19516, 20379, 543, 546, 617, 3101, 5595, 11546, 14982, 21772, 267, 5507, 9348, 9812, 1590, 1780, 513, 11826, 1449, 1572, 519, 11310, 267, 585, 799, 789, 723, 547, 27655, 519, 11768, 540, 782, 476, 1839, 267, 1822, 2031, 326, 1194, 344, 1790, 24513, 1194, 344, 10754, 1369, 513, 3670, 28902, 8953, 540, 932, 2130, 9061, 267, 538, 519, 8998, 540, 519, 2749, 563, 292, 32642, 7395, 340, 790, 543, 918, 15811, 26741, 27451, 267, 5778, 27023, 1235, 693, 2160, 5441, 5507, 267, 4941, 547, 917, 2436, 782, 713, 1565, 2242, 519, 851, 540, 519, 2634, 602, 9388, 609, 3965, 267, 1572, 519, 28481, 25283, 563, 1103, 513, 3105, 2634, 1606, 4754, 940, 1353, 267, 7395, 340, 790, 543, 1200, 2319, 1185, 4951, 602, 9348, 9812, 723, 3677, 28481, 2086, 328, 982, 1875, 2389, 1314, 328, 10256, 272, 269, 1809, 789, 7318, 519, 10256, 693, 1152, 835, 1448, 538, 942, 269, 898, 1869, 7012, 1406, 2312, 2436, 519, 2866, 5818, 539, 519, 28481, 25283, 2450, 267, 610, 2436, 1004, 609, 3677, 31032, 5991, 5436, 28481, 2086, 328, 1522, 1175, 581, 811, 2693, 547, 1831, 9348, 9812, 563, 2414, 8495, 2417, 267, 7395, 340, 790, 543, 26741, 27451, 1085, 10165, 519, 12058, 540, 30497, 9348, 10256, 1354, 267, 1282, 543, 1310, 741, 2866, 267, 543, 3379, 519, 18767, 609, 519, 10256, 262, 1967, 593, 519, 11310, 273, 269, 1703, 729, 1100, 3017, 538, 28481, 25283, 2450, 1354, 519, 2866, 3323, 269, 1809, 1310, 2866, 267, 1346, 602, 5293, 519, 1449, 1185, 8273, 28481, 2086, 328, 563, 300, 16331, 790, 267, 661, 269, 589, 269, 1696, 620, 269, 28540, 269, 14844, 331, 6298, 269, 2233, 269, 7330, 476, 9032, 267, 476, 275, 4375, 279, 1700, 24496, 274, 630, 1220, 271, 1916, 310, 944, 27451, 267, 918, 269, 1299, 7395, 340, 790, 267, 661, 269, 589, 269, 4354, 337, 269, 22776, 269, 5291, 2517, 11459, 269, 8742, 3820, 270, 1015, 269, 6200, 277, 10768, 6983, 889, 269, 1001, 272, 269, 1556, 269, 26289, 630, 1001, 272, 1916, 16665, 6402, 538, 7186, 3194, 454, 16665, 5007, 6402, 454, 9596, 811, 827, 519, 5767, 2164, 607, 23715, 686, 26357, 538, 513, 9348, 609, 661, 32642, 7395, 340, 790, 585, 513, 10004, 827, 519, 1382, 563, 10666, 713, 2376, 454, 29241, 713, 2376, 454, 29834, 267, 918, 269, 1412, 763, 11310, 262, 14219, 1173, 525, 707, 2634, 269, 7186, 630, 1001, 272, 1040, 4179, 2517, 8742, 3820, 270, 1015, 269, 9818, 279, 14672, 1155, 269, 1001, 272, 269, 31634, 273, 0, 288, 15779, 2634, 5945, 630, 307, 10292, 264, 568, 513, 2564, 2783, 602, 666, 12517, 2800, 519, 2634, 543, 2790, 1599, 269, 15380, 267, 513, 570, 10292, 568, 3361, 676, 513, 29424, 267, 9514, 267, 10880, 267, 795, 27117, 610, 21774, 547, 519, 2212, 267, 799, 1082, 10256, 543, 15915, 7985, 689, 950, 3238, 538, 513, 1286, 8009, 563, 20776, 341, 643, 832, 1419, 7985, 689, 930, 2186, 540, 8628, 9659, 1310, 513, 570, 10292, 269, 3509, 19505, 3674, 666, 581, 14603, 282, 19250, 6340, 267, 972, 616, 5176, 1079, 4627, 19505, 3674, 513, 1554, 602, 5012, 547, 2669, 269, 2961, 10913, 616, 835, 540, 519, 1034, 1455, 3123, 540, 19505, 3674, 563, 307, 289, 3674, 616, 19040, 883, 1614, 2010, 281, 7646, 267, 9793, 543, 4049, 269, 3371, 779, 811, 596, 1058, 917, 912, 3519, 28261, 616, 968, 332, 843, 892, 19505, 3674, 454, 288, 9514, 610, 5734, 547, 519, 2212, 2356, 5012, 547, 513, 6677, 15664, 267, 799, 949, 581, 2808, 513, 630, 7758, 8271, 264, 7646, 570, 10292, 269, 769, 513, 2101, 610, 5634, 1286, 8009, 267, 519, 6408, 949, 5734, 741, 2212, 269, 1280, 1383, 267, 713, 1223, 581, 519, 1267, 540, 519, 9920, 18644, 741, 2212, 593, 519, 23376, 8868, 563, 1607, 3123, 519, 2634, 547, 3731, 1479, 543, 5734, 519, 6418, 6821, 540, 519, 15693, 269, 634, 2634, 949, 1287, 7985, 7063, 543, 5305, 6464, 602, 2014, 519, 6408, 547, 7985, 689, 15353, 267, 10539, 610, 3965, 2530, 543, 949, 1256, 979, 17499, 563, 9556, 4733, 610, 4049, 19505, 3674, 616, 2356, 811, 6654, 454, 9556, 4733, 543, 4049, 19505, 3674, 1419, 2097, 950, 10256, 543, 15915, 3238, 538, 513, 20739, 1188, 5734, 741, 9843, 593, 519, 23376, 8868, 610, 21686, 4580, 2443, 855, 789, 666, 849, 2097, 689, 21774, 16398, 952, 789, 2461, 13351, 676, 10760, 11935, 563, 1103, 930, 2665, 267, 519, 2634, 949, 20015, 1047, 1310, 7092, 513, 2212, 5945, 269, 1879, 519, 2634, 2220, 20635, 267, 621, 666, 2322, 2604, 593, 519, 2634, 267, 4929, 10373, 1928, 585, 519, 6408, 269, 1306, 513, 1267, 267, 519, 2634, 949, 7985, 5160, 610, 1973, 1591, 3441, 2443, 543, 1346, 8697, 2634, 2281, 3112, 5710, 2933, 610, 12115, 269, 634, 6408, 1223, 1020, 7209, 2152, 267, 3965, 2530, 610, 26900, 689, 2634, 11702, 563, 12179, 570, 10292, 267, 2436, 621, 779, 513, 6677, 15664, 610, 1945, 8338, 267, 814, 519, 1761, 585, 15400, 4539, 269, 7861, 15501, 540, 1286, 10913, 723, 547, 581, 3222, 540, 741, 3656, 2924, 543, 519, 20327, 585, 741, 2104, 6051, 865, 602, 789, 666, 11654, 4023, 13180, 585, 741, 9271, 269, 0, 12867, 723, 3144, 547, 519, 6607, 538, 606, 3801, 547, 1451, 827, 1018, 568, 6456, 593, 519, 2666, 538, 30188, 689, 3504, 2904, 534, 12977, 563, 288, 5063, 5342, 5619, 540, 476, 273, 267, 1911, 30026, 12919, 814, 20114, 936, 476, 2568, 267, 1822, 5892, 7164, 3889, 1210, 9149, 291, 2752, 267, 1519, 7164, 26829, 267, 19289, 3889, 267, 31619, 1027, 4610, 267, 4155, 1811, 267, 17872, 6821, 543, 20610, 543, 8075, 10838, 606, 936, 326, 3497, 5251, 454, 763, 5619, 13315, 1896, 2101, 2904, 534, 4609, 267, 1519, 28607, 531, 543, 4432, 2098, 582, 345, 563, 2108, 25444, 568, 7487, 3677, 267, 16437, 518, 4609, 269, 15526, 2223, 7338, 717, 28207, 267, 13930, 7548, 540, 19795, 693, 594, 628, 20403, 5441, 267, 1767, 538, 513, 3948, 269, 968, 2467, 779, 513, 8552, 547, 621, 267, 585, 2386, 267, 855, 602, 779, 513, 8471, 281, 3025, 814, 14406, 11175, 538, 741, 1496, 2181, 2365, 316, 11837, 3034, 2414, 2932, 519, 5619, 267, 519, 3173, 1031, 606, 20987, 2173, 870, 539, 3926, 547, 6494, 513, 3586, 13942, 540, 8955, 1769, 2066, 513, 2220, 987, 540, 14099, 543, 1491, 5730, 7403, 540, 875, 1279, 621, 3217, 519, 19501, 1786, 4461, 547, 25483, 1055, 7252, 269, 634, 7403, 941, 1287, 12261, 883, 1283, 4919, 1239, 563, 763, 8955, 22815, 806, 998, 519, 10545, 10616, 538, 519, 10664, 547, 2594, 519, 2482, 540, 519, 2244, 2630, 609, 6111, 269, 634, 1239, 568, 1287, 17408, 8898, 547, 6882, 856, 4054, 543, 824, 10664, 267, 5356, 606, 796, 16780, 3518, 1229, 2070, 540, 3388, 3116, 593, 519, 2627, 563, 763, 1007, 2029, 786, 5512, 3173, 547, 5619, 795, 2426, 956, 2066, 519, 8608, 269, 769, 519, 1970, 1633, 540, 30188, 267, 519, 10053, 24588, 12042, 619, 824, 2409, 540, 19666, 5619, 543, 5394, 896, 29115, 666, 10703, 531, 519, 3347, 1063, 1634, 3889, 563, 24685, 602, 2186, 540, 1604, 1141, 596, 666, 1406, 1294, 1496, 320, 1906, 3952, 538, 4395, 540, 3054, 3910, 621, 779, 1360, 2182, 547, 4062, 602, 782, 1927, 269, 968, 2791, 723, 713, 2856, 602, 972, 779, 930, 2370, 8631, 593, 519, 15113, 267, 855, 519, 9149, 291, 2752, 13071, 596, 1294, 621, 538, 922, 9103, 1275, 3034, 7021, 326, 3497, 5251, 540, 519, 795, 2426, 956, 540, 7187, 30188, 723, 6870, 1034, 540, 519, 3788, 540, 519, 15609, 945, 2899, 20948, 519, 1858, 1765, 344, 1752, 532, 7444, 547, 2413, 3744, 15691, 547, 1451, 811, 827, 519, 3504, 10340, 1634, 585, 922, 10427, 9246, 30735, 545, 7097, 267, 1148, 267, 6189, 543, 6128, 563, 763, 15609, 10340, 7153, 827, 476, 274, 267, 1822, 1296, 3516, 267, 8757, 922, 8445, 1282, 519, 25839, 11270, 689, 827, 476, 7742, 547, 476, 12010, 5084, 563, 6097, 547, 717, 28207, 267, 519, 9241, 7000, 6694, 2934, 2693, 6462, 519, 1970, 1633, 15609, 2551, 1282, 741, 5553, 540, 10340, 1141, 519, 2551, 9193, 723, 1631, 9450, 689, 513, 1906, 2929, 547, 476, 1015, 3562, 268, 736, 2173, 11669, 563, 9377, 2400, 3889, 849, 2303, 602, 13137, 729, 2484, 811, 11342, 982, 5892, 2219, 563, 763, 6602, 786, 581, 519, 1641, 540, 513, 1007, 2817, 22127, 17245, 13886, 968, 299, 739, 7066, 9778, 540, 519, 15609, 31315, 3751, 892, 602, 786, 6566, 328, 699, 593, 4924, 269, 476, 277, 693, 476, 280, 533, 6230, 269, 634, 17245, 786, 1246, 513, 14844, 10481, 334, 24413, 607, 646, 1726, 802, 2620, 883, 519, 26570, 547, 3343, 856, 513, 18158, 9571, 538, 519, 5619, 269, 634, 5619, 729, 519, 2582, 4102, 2479, 5342, 593, 12379, 334, 26410, 22884, 563, 294, 28207, 6045, 602, 519, 3173, 1131, 1631, 946, 519, 9149, 291, 2752, 4681, 547, 3605, 811, 827, 519, 4473, 267, 8445, 543, 2887, 540, 519, 15609, 10340, 563, 2108, 6546, 779, 519, 4161, 1631, 269, 3767, 649, 723, 865, 1454, 1239, 2223, 717, 28207, 1767, 269, 968, 1692, 798, 649, 6023, 621, 543, 875, 798, 649, 1847, 4464, 609, 621, 888, 14071, 4076, 1869, 3893, 547, 1205, 547, 1346, 4025, 267, 649, 4076, 1869, 3893, 547, 2638, 873, 856, 2223, 646, 3773, 269, 968, 2005, 779, 2352, 547, 6655, 875, 3078, 713, 942, 568, 585, 721, 1848, 0, 28757, 1857, 5624, 616, 4105, 585, 4683, 5054, 543, 957, 607, 32387, 585, 5872, 1063, 1585, 2950, 269, 769, 1840, 547, 5009, 513, 2631, 540, 2146, 543, 5807, 513, 18512, 543, 22205, 1604, 267, 891, 5624, 2709, 513, 3838, 3760, 585, 1514, 267, 2686, 267, 543, 16351, 2238, 269, 5398, 5624, 616, 811, 1713, 982, 2479, 267, 5356, 8323, 689, 519, 14784, 540, 3232, 1272, 1247, 5807, 1514, 3346, 543, 2146, 7589, 607, 4683, 5314, 5170, 547, 3310, 875, 649, 2661, 543, 960, 269, 1717, 267, 2870, 543, 7892, 908, 891, 5624, 666, 581, 4101, 14365, 2293, 602, 1289, 585, 5402, 6236, 513, 2039, 540, 4170, 543, 4690, 267, 10333, 267, 3354, 267, 543, 6940, 563, 11947, 7412, 5244, 267, 1715, 3840, 4975, 454, 2304, 5499, 1383, 540, 606, 4683, 1374, 602, 10905, 2609, 540, 2470, 543, 812, 13402, 3283, 568, 519, 4400, 7412, 5244, 538, 1715, 3840, 4975, 269, 634, 6288, 568, 593, 513, 476, 272, 269, 276, 28902, 17489, 4062, 540, 14460, 11506, 16456, 3950, 602, 2899, 10443, 1657, 24607, 30778, 10754, 269, 634, 6288, 267, 2813, 676, 6276, 4856, 1676, 12197, 15051, 543, 667, 14525, 590, 1723, 325, 573, 1470, 1341, 11412, 325, 549, 267, 20502, 519, 1858, 779, 1686, 1247, 5356, 513, 12560, 10093, 689, 519, 2749, 779, 2534, 2630, 269, 589, 10058, 4999, 540, 3039, 2044, 267, 11247, 267, 543, 4853, 2609, 27537, 621, 563, 763, 6659, 3802, 3118, 267, 799, 3947, 14666, 513, 1114, 2070, 540, 519, 2749, 267, 568, 513, 10058, 4183, 540, 4400, 7412, 5244, 779, 4070, 269, 1677, 1711, 513, 4241, 4334, 1063, 2470, 543, 2872, 267, 519, 1374, 2882, 1312, 6405, 543, 5374, 267, 607, 1134, 607, 2067, 3334, 899, 4054, 267, 21823, 267, 543, 5810, 269, 634, 6288, 779, 1967, 607 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 342, 9780, 19928, 12460, 454, 2252, 596, 2811, 6998, 952, 596, 666, 6467, 1079, 6486, 262, 4025, 267, 1287, 1100, 269, 1411, 666, 1152, 1847, 835, 3556, 693, 513, 942, 563, 1892, 7316, 798, 594, 2322, 519, 2185, 3312, 25985, 888, 1892, 1548, 798, 596, 798, 952, 596, 1810, 1405, 723, 606, 589, 576, 693, 1101, 888, 1892, 1548, 798, 594, 798, 952, 972, 616, 513, 2603, 540, 13292, 538, 519, 18061, 888, 1892, 1548, 1281, 621, 1611, 547, 22120, 519, 6967, 6486, 888, 1892, 1215, 1082, 2053, 666, 596, 2490, 936, 519, 3063, 6486, 2496, 1012, 9669, 692, 1892, 1703, 616, 811, 2010, 540, 3752, 7534, 790, 267, 971, 607, 17015, 543, 2185, 513, 806, 269, 1403, 596, 616, 2348, 8373, 609, 713, 835, 267, 610, 1175, 711, 3478, 883, 621, 267, 2119, 835, 540, 891, 563, 1892, 5457, 602, 547, 3094, 3752, 7534, 790, 267, 513, 1978, 2179, 540, 9939, 568, 3238, 563, 1892, 1403, 596, 991, 948, 610, 1616, 513, 20726, 543, 616, 593, 513, 2780, 267, 2046, 519, 670, 1883, 563, 1892, 11408, 1376, 609, 519, 16064, 952, 596, 1810, 1405, 723, 1022, 513, 806, 538, 707, 1688, 540, 6486, 780, 1012, 9137, 27084, 692, 290, 20975, 281, 3752, 7534, 790, 692, 1103, 824, 4654, 1384, 292, 4944, 320, 10722, 565, 281, 1109, 329, 13610, 620, 1151, 527, 9222, 267, 1109, 5719, 28852, 281, 1109, 2304, 548, 527, 2426, 24166, 3752, 7534, 790, 267, 1109, 2005, 6501, 334, 281, 1109, 294, 328, 665, 732, 513, 3752, 527, 9222, 267, 1109, 21545, 30253, 17845, 338, 281, 1109, 297, 690, 541, 623, 659, 328, 17845, 333, 25556, 267, 1109, 301, 25005, 4133, 281, 1109, 15031, 1466, 838, 601, 523, 267, 1109, 293, 3757, 9809, 9820, 281, 1109, 329, 537, 518, 14193, 1151, 7534, 790, 267, 1109, 18809, 24757, 281, 1109, 27064, 358, 419, 374, 372, 29830, 490, 418, 372, 372, 16043, 493, 267, 1109, 396, 510, 7846, 4736, 4736, 24012, 13953, 281, 1109, 13077, 4736, 4736, 7549, 20977, 9686, 9924, 8563, 28476, 10780, 3522, 4736, 9841, 9326, 4709, 4736, 267, 1109, 289, 1695, 14505, 12868, 281, 1109, 289, 1069, 664, 3752, 7534, 790, 267, 1109, 2633, 373, 18028, 357, 11695, 355, 21005, 281, 1109, 28637, 5936, 487, 2633, 366, 18028, 509, 17775, 2633, 363, 18892, 7162, 500, 17775, 2633, 366, 17775, 23517, 267, 1109, 384, 490, 324, 20795, 339, 2088, 281, 1109, 297, 752, 32162, 5451, 339, 533, 14515, 5451, 985, 692, 12552, 547, 782, 4589, 585, 2870, 513, 2985, 602, 814, 1044, 1224, 476, 272, 267, 279, 3451, 267, 5392, 274, 2053, 269, 0, 258, 476, 14341, 18126, 538, 5195, 692, 1012, 23586, 692, 14341, 18126, 568, 6697, 547, 476, 271, 269, 6021, 273, 271, 3393, 3393, 275, 276, 3393, 3393, 275, 276, 5195, 16804, 272, 6540, 1012, 23586, 4542, 1215, 547, 6460, 476, 14341, 18126, 547, 5195, 2496, 2171, 917, 630, 2421, 4214, 264, 602, 281, 1269, 272, 315, 9507, 346, 11770, 4153, 13627, 476, 271, 269, 1822, 6321, 279, 8687, 11025, 315, 9507, 31551, 850, 10592, 2171, 666, 1305, 909, 513, 8167, 547, 4194, 585, 519, 1297, 540, 5195, 780, 259, 272, 2340, 479, 351, 586, 323, 476, 14341, 2340, 479, 351, 586, 323, 9881, 486, 476, 271, 269, 1822, 6321, 279, 8687, 11025, 2340, 479, 351, 13304, 1535, 2340, 479, 351, 13304, 6911, 3086, 267, 649, 3444, 9062, 547, 4194, 585, 938, 7164, 1269, 343, 259, 1384, 259, 343, 315, 9507, 31551, 850, 4153, 13627, 1422, 2765, 346, 14341, 315, 9507, 346, 11770, 12453, 272, 315, 9507, 346, 11770, 3686, 265, 271, 269, 1822, 6321, 279, 8687, 11025, 315, 9507, 31551, 850, 4153, 1729, 1535, 315, 9507, 31551, 850, 4153, 13627, 476, 271, 269, 6021, 273, 271, 3393, 3393, 275, 279, 2412, 1822, 4905, 315, 9507, 31551, 850, 10592, 6962, 281, 1269, 14341, 2340, 479, 351, 586, 323, 9881, 486, 476, 271, 269, 6021, 273, 271, 3393, 3393, 275, 279, 2412, 1822, 4905, 2340, 479, 351, 13304, 6911, 1012, 23586, 538, 519, 6587, 4287, 692, 763, 11201, 540, 519, 7503, 3815, 568, 602, 476, 272, 13304, 568, 3160, 547, 476, 1015, 269, 279, 5038, 3192, 30019, 279, 5038, 273, 2053, 476, 14341, 18126, 780, 2005, 666, 849, 581, 6829, 607, 281, 476, 14341, 18126, 568, 3160, 547, 4399, 2765, 346, 272, 7346, 9507, 346, 1015, 269, 279, 5038, 3192, 30019, 279, 5038, 273, 22288, 5195, 780, 1012, 20976, 11582, 692, 2304, 16977, 10230, 1267, 1131, 581, 281, 835, 4627, 543, 24239, 26690, 18126, 568, 827, 4642, 1448, 4642, 8370, 5195, 267, 610, 4244, 569, 267, 513, 13304, 568, 827, 4557, 1448, 5216, 2947, 2053, 835, 4627, 543, 24239, 26690, 18126, 780, 1012, 14272, 17084, 692, 314, 272, 316, 634, 8856, 568, 476, 1428, 1713, 9704, 630, 27917, 10117, 9704, 547, 519, 1318, 540, 519, 8918, 1448, 6393, 24342, 949, 2270, 1507, 6959, 1813, 547, 519, 946, 540, 13735, 1448, 12980, 269, 0, 258, 27387, 281, 4635, 519, 24349, 14230, 11532, 547, 6961, 513, 1979, 20287, 692, 272, 269, 12361, 4635, 519, 24349, 14230, 11532, 547, 6961, 513, 1979, 20287, 692, 296, 723, 513, 1966, 1141, 594, 723, 547, 6961, 602, 4399, 12978, 3799, 332, 21174, 12978, 9852, 9385, 12978, 3799, 7751, 1141, 562, 543, 544, 616, 5266, 6305, 543, 4399, 12978, 259, 568, 25586, 781, 9103, 550, 780, 296, 917, 602, 585, 519, 6169, 594, 1590, 1397, 602, 972, 568, 513, 1979, 20287, 1063, 1269, 19282, 259, 543, 1269, 332, 1422, 9392, 562, 259, 543, 594, 993, 2348, 13542, 3257, 602, 269, 7102, 948, 1131, 581, 15874, 780, 273, 269, 20323, 17397, 676, 8783, 8117, 345, 454, 296, 723, 513, 1966, 1141, 594, 723, 547, 6961, 602, 4399, 12978, 3799, 332, 21174, 12978, 9852, 9385, 12978, 3799, 7751, 1141, 562, 543, 544, 616, 5266, 6305, 543, 4399, 12978, 259, 568, 25586, 781, 9103, 550, 780, 296, 917, 602, 585, 519, 6169, 594, 1590, 1397, 602, 972, 568, 513, 1979, 20287, 1063, 1269, 19282, 259, 543, 1269, 332, 1422, 9392, 562, 259, 543, 594, 993, 2348, 13542, 3257, 602, 269, 7102, 948, 1131, 581, 15874, 780, 18693, 20287, 1063, 1269, 19282, 315, 12101, 12101, 267, 663, 315, 12101, 12101, 267, 332, 24585, 562, 259, 11631, 1215, 286, 1548, 616, 891, 1919, 286, 1411, 949, 267, 610, 949, 711, 267, 723, 513, 1979, 20287, 1063, 5036, 281, 1018, 616, 519, 5036, 1934, 2496, 307, 517, 1470, 692, 274, 269, 20323, 17397, 676, 9522, 1470, 454, 1432, 616, 891, 1919, 888, 302, 3591, 267, 20994, 269, 594, 29709, 547, 1331, 602, 544, 543, 562, 616, 1312, 7849, 2338, 780, 2791, 1869, 10093, 1405, 12943, 1250, 2243, 281, 952, 1269, 332, 19885, 259, 616, 2067, 2338, 1287, 1269, 19282, 259, 568, 1586, 513, 2067, 1297, 543, 267, 594, 15475, 267, 1269, 332, 24585, 562, 259, 949, 581, 267, 1586, 267, 513, 2067, 6746, 269, 1411, 666, 267, 540, 1576, 267, 5581, 513, 1360, 19309, 19359, 1063, 519, 1079, 5036, 5627, 1142, 835, 540, 891, 2338, 630, 602, 9364, 581, 4010, 519, 1482, 1305, 952, 1312, 1269, 19282, 20867, 12101, 12101, 267, 332, 24585, 562, 259, 4755, 547, 581, 519, 1360, 1482, 2067, 1297, 264, 865, 1586, 594, 2307, 281, 1018, 19359, 267, 1063, 18040, 2975, 295, 10323, 4811, 267, 616, 596, 6158, 827, 11631, 0, 2004, 274, 5784, 692, 2162, 16534, 476, 279, 3287, 1341, 476, 274, 264, 815, 476, 3607, 692, 1103, 713, 2243, 630, 339, 2586, 689, 513, 1875, 23343, 1529, 1807, 2362, 1377, 23722, 13004, 2250, 1957, 1070, 649, 1616, 547, 1265, 606, 2626, 1109, 343, 284, 2496, 27407, 649, 1616, 547, 4734, 1109, 262, 2421, 3294, 262, 593, 519, 2451, 1688, 2427, 267, 609, 938, 2626, 593, 519, 1318, 269, 3776, 1101, 1900, 568, 547, 1412, 1495, 334, 262, 519, 1109, 517, 519, 3544, 540, 519, 31455, 269, 901, 568, 2944, 676, 1109, 323, 1204, 532, 676, 476, 279, 1109, 517, 1312, 5011, 540, 519, 3830, 269, 1109, 1109, 5475, 12270, 676, 476, 279, 649, 723, 1109, 3287, 266, 274, 6661, 263, 3607, 270, 279, 6393, 10303, 713, 568, 513, 1875, 23343, 1529, 1807, 1957, 267, 596, 949, 1265, 621, 15864, 547, 5173, 1109, 3607, 270, 279, 1109, 514, 5933, 269, 1284, 666, 1294, 1360, 3362, 602, 1312, 1109, 3607, 30548, 1109, 732, 1312, 16883, 676, 476, 273, 269, 901, 2636, 721, 547, 14458, 519, 6824, 547, 1109, 1240, 270, 275, 269, 1109, 3725, 701, 908, 713, 1900, 1586, 3947, 513, 16866, 6824, 1109, 280, 270, 273, 269, 1109, 2005, 568, 1631, 4443, 547, 1294, 602, 1109, 3607, 270, 279, 284, 280, 270, 273, 284, 275, 269, 276, 30548, 865, 1109, 343, 266, 274, 284, 275, 269, 276, 692, 7661, 649, 1412, 1495, 334, 262, 519, 1109, 517, 519, 2451, 1688, 2427, 540, 519, 3830, 676, 1109, 11357, 339, 24219, 476, 274, 1109, 517, 1312, 5011, 540, 519, 3830, 269, 1109, 1607, 3947, 721, 1109, 343, 284, 275, 269, 276, 268, 274, 1109, 810, 1109, 343, 284, 272, 269, 276, 269, 1109, 1607, 568, 519, 3803, 2626, 780, 2005, 568, 4502, 15663, 602, 4352, 649, 723, 8854, 998, 519, 5933, 1900, 8386, 9912, 538, 713, 1383, 267, 519, 2243, 568, 1152, 4502, 476, 274, 7436, 538, 519, 981, 269, 1411, 1058, 2259, 891, 2010, 540, 7223, 9010, 1109, 638, 5465, 971, 602, 596, 616, 2111, 547, 4194, 873, 1109, 3369, 12241, 9306, 707, 25029, 5693, 267, 3833, 3533, 780, 1015, 3275, 3516, 692, 9172, 26833, 676, 22186, 787, 333, 267, 513, 23722, 13174, 20131, 609, 3733, 307, 12460, 692, 1012, 12846, 12758, 286, 5192, 835, 3562, 14633, 948, 689, 513, 13948, 26906, 1641, 11285, 692, 2971, 476, 277, 1704, 590, 18510, 297, 17614, 9501, 4488, 24361, 3041, 4811, 692, 28462, 1789, 1315, 15590, 692, 291, 12801, 281, 19239, 3588, 630, 300, 7539, 264, 910, 2274, 2644, 2160, 692, 20428, 338, 6035, 281, 13043, 338, 267, 3163, 266, 476, 1321, 811, 692, 13043, 338, 454, 16631, 454, 300, 663, 18288, 454, 14549, 10334, 454, 12626, 9085, 454, 12626, 5678, 454, 290, 13511, 454, 269, 20084, 290, 2969, 563, 6261, 5966, 32276, 8894, 14114, 343, 8822, 19369, 8894, 5336, 20510, 3427, 19369, 7042, 2108, 17098, 594, 6415, 966, 1157, 344, 267, 594, 6415, 513, 476, 273, 526, 1032, 5959, 2875, 693, 519, 2160, 540, 2274, 2644, 269, 594, 993, 7874, 543, 3461, 543, 723, 513, 2648, 585, 2257, 267, 13004, 543, 3450, 14325, 28462, 1240, 1315, 15590, 692, 291, 12801, 281, 2296, 630, 289, 659, 3559, 832, 264, 910, 10228, 267, 3223, 1076, 5441, 2160, 692, 20428, 338, 6035, 281, 13043, 338, 267, 5824, 266, 476, 273, 811, 692, 13043, 338, 454, 31142, 454, 12626, 9085, 454, 269, 5085, 2969, 692, 14881, 6415, 4974, 2296, 5678, 543, 9085, 693, 519, 2160, 540, 10228, 267, 543, 666, 20131, 2296, 267, 5824, 543, 13174, 14325, 28462, 2190, 1315, 15590, 692, 291, 12801, 281, 4521, 630, 289, 659, 3559, 832, 264, 910, 2160, 5441, 5507, 2160, 692, 20428, 338, 6035, 281, 13043, 338, 267, 3778, 266, 476, 275, 811, 692, 13043, 338, 454, 14532, 454, 12626, 454, 289, 5735, 454, 11482, 2793, 307, 563, 6261, 5966, 32276, 7042, 2108, 15916, 256, 594, 6415, 513, 11062, 2160, 27587, 2875, 543, 772, 12710, 4521, 10927, 609, 513, 1390, 4308, 540, 23468, 1995, 538, 2296, 267, 13174, 267, 7070, 543, 9980, 8896, 1401, 4461, 14325, 25387, 28998, 281, 585, 1007, 1053, 692, 291, 12801, 281, 13898, 267, 15348, 543, 13188, 630, 289, 659, 3559, 832, 264, 910, 10228, 1325, 30282, 2160, 692, 20428, 338, 6035, 281, 13043, 338, 267, 3778, 266, 476, 276, 811, 692, 13043, 338, 454, 14532, 454, 30025, 543, 15348, 454, 15761, 2105, 5741, 19120, 2305, 454, 12626, 454, 6261, 5966, 32276, 8894, 14114, 343, 8822, 19369, 7042, 2108, 15916, 256, 1109, 3733, 2012, 568, 22186, 787, 333, 543, 594, 723, 5063, 21783, 689, 11831, 2723, 5441, 267, 10228, 609, 513, 4110, 538, 13898, 267, 15348, 543, 13188, 269, 594, 723, 2141, 10150, 1565, 543, 4543, 1866, 547, 1174, 1007, 5396, 269, 17497, 594, 6415, 561, 643, 907, 14325, 2162, 1411, 949, 849, 899, 13718, 2971, 24762, 676, 22186, 787, 333, 692, 1692, 1223, 594, 1544, 513, 890, 823, 540, 10388, 1603, 2496, 24169, 476, 279, 3287, 1341, 476, 274, 264, 815, 476, 3607, 692, 2971, 4033, 23722, 13174, 2055, 692, 1692, 798, 594, 1265, 519, 5072, 543, 543, 10974, 540, 519, 14584, 540, 519, 3113, 586, 815, 476, 273, 343, 317, 273, 1341, 476, 275, 343 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 31437, 1533, 267, 602, 2760, 2731, 1185, 8471, 1852, 630, 716, 1302, 1152, 519, 3312, 772, 7825, 599, 6758, 666, 1118, 513, 5033, 4565, 766, 540, 513, 3409, 547, 2348, 513, 6024, 10504, 4700, 1358, 3838, 16285, 609, 519, 6380, 822, 1749, 543, 519, 28753, 1023, 267, 4352, 519, 8545, 1079, 2760, 10645, 519, 2140, 540, 1608, 13023, 1369, 741, 10665, 563, 3383, 267, 621, 4667, 602, 519, 5354, 540, 519, 1608, 13023, 919, 941, 2965, 519, 5603, 13011, 1727, 657, 2572, 540, 589, 304, 267, 1373, 2901, 26757, 685, 1695, 267, 610, 12683, 2065, 267, 610, 26757, 685, 1695, 10709, 532, 267, 610, 930, 4999, 540, 519, 1657, 269, 1924, 267, 24903, 267, 519, 2806, 21353, 1749, 616, 519, 4998, 585, 744, 13993, 267, 2523, 519, 1259, 646, 8100, 519, 12724, 3547, 543, 670, 6686, 5586, 6686, 16679, 269, 898, 5526, 1018, 589, 304, 568, 2731, 6998, 585, 568, 2901, 519, 5250, 540, 513, 26757, 685, 1695, 25091, 1533, 267, 610, 12499, 5336, 639, 3916, 1102, 18017, 269, 1358, 616, 267, 693, 2547, 267, 8236, 602, 8545, 563, 763, 2856, 540, 519, 1608, 13023, 622, 568, 513, 7242, 269, 3807, 899, 519, 1964, 540, 519, 589, 304, 16786, 267, 621, 814, 1100, 4493, 538, 4641, 607, 649, 917, 621, 269, 0, 2252, 596, 4076, 2760, 6738, 513, 2887, 4677, 267, 596, 616, 7508, 856, 269, 1703, 4667, 547, 581, 865, 1454, 1447, 5521, 543, 2068, 2604, 609, 513, 2887, 4677, 269, 634, 4365, 4667, 547, 581, 513, 3787, 811, 22150, 267, 1932, 267, 1256, 952, 621, 568, 1869, 3905, 950, 649, 1205, 3323, 563, 1607, 3085, 1406, 1611, 519, 2887, 4677, 568, 18174, 6169, 267, 855, 621, 1281, 1611, 602, 1082, 540, 721, 1205, 513, 2034, 4960, 610, 513, 968, 1042, 334, 892, 540, 938, 5614, 7031, 269, 898, 781, 513, 1390, 942, 547, 1332, 1919, 1586, 602, 1705, 1134, 538, 519, 5614, 267, 610, 3801, 7031, 1586, 602, 949, 723, 711, 2944, 607, 1134, 269, 898, 779, 849, 513, 942, 547, 1205, 1919, 2469, 602, 786, 7670, 5793, 538, 519, 4677, 952, 938, 2916, 568, 7646, 2614, 610, 952, 649, 666, 2308, 930, 3063, 4027, 3800, 563, 5522, 13589, 513, 2887, 4677, 3091, 1896, 2640, 543, 5383, 936, 519, 4832, 4677, 269, 3371, 616, 5722, 1434, 4128, 585, 9544, 513, 2887, 4677, 912, 15761, 2105, 3395, 4005, 281, 1635, 9544, 513, 2887, 4677, 267, 596, 666, 8831, 707, 3395, 4005, 543, 3136, 11981, 4195, 1753, 326, 3497, 3132, 1134, 883, 519, 16830, 3275, 269, 898, 2636, 596, 547, 11694, 519, 7607, 540, 707, 4677, 543, 1118, 519, 1034, 540, 707, 3395, 2230, 563, 290, 944, 518, 5210, 281, 12096, 4365, 11148, 547, 581, 16830, 267, 799, 568, 25368, 585, 1978, 7031, 269, 3509, 5388, 267, 971, 607, 21364, 16719, 267, 3597, 5388, 267, 543, 21567, 545, 553, 267, 8853, 538, 16830, 5210, 543, 1419, 6492, 4418, 2678, 950, 6738, 538, 519, 2887, 269, 769, 1360, 3636, 16374, 267, 2887, 568, 513, 1732, 942, 585, 3395, 1919, 899, 14274, 267, 31480, 267, 543, 23601, 269, 630, 8450, 713, 2376, 593, 12866, 5440, 12096, 15867, 1186, 585, 2659, 16323, 994, 293, 1168, 518, 10860, 543, 3676, 281, 12096, 10651, 616, 1419, 1447, 11630, 547, 11641, 28383, 543, 3676, 3379, 547, 5614, 543, 4832, 10651, 269, 3509, 1455, 4677, 10860, 543, 3676, 7771, 607, 519, 4365, 3579, 338, 1524, 267, 4227, 519, 991, 585, 3573, 11641, 2359, 543, 519, 17140, 540, 9561, 7031, 547, 2068, 563, 24965, 1027, 18290, 2604, 281, 1284, 2644, 4043, 547, 581, 1447, 10728, 538, 519, 2887, 267, 1818, 621, 4443, 547, 4383, 873, 269, 2060, 1447, 6735, 689, 18047, 267, 707, 2887, 7031, 723, 513, 1732, 4960, 540, 14762, 543, 6721, 513, 29667, 3814, 7556, 269, 3502, 547, 2446, 267, 621, 781, 4443, 593, 519, 1394, 2336, 299, 1077, 1216, 4170, 281, 15346, 518, 5210, 538, 519, 2887, 1267, 538, 4389, 21381, 543, 2539, 1216, 4170, 585, 2371, 269, 901, 666, 1291, 547, 9806, 538, 1216, 6165, 543, 2569, 519, 991, 585, 7928, 14450, 3379, 547, 519, 28555, 4832, 3275, 563, 27832, 14021, 5826, 281, 12096, 10651, 3622, 2154, 1447, 14021, 5826, 982, 5614, 610, 4832, 10651, 269, 2060, 7646, 518, 5210, 543, 7864, 10860, 543, 3676, 547, 25077, 609, 267, 596, 666, 6108, 1447, 942, 593, 4677, 909, 18141, 1247, 1869, 556, 12686, 519, 12587, 540, 4195, 3132, 563, 3383, 559, 6454, 281, 12096, 10651, 1683, 606, 4316, 547, 2087, 707, 3037, 585, 519, 1739, 1032, 269, 31896, 3382, 7031, 610, 6220, 5214, 2339, 883, 519, 3037, 1282, 519, 2887, 666, 3986, 922, 12680, 267, 2497, 267, 543, 2949, 1072, 267, 4259, 519, 3942, 585, 513, 811, 3811, 4677, 519, 1739, 5614, 563, 4322, 616, 1175, 513, 1906, 540, 519, 1082, 4128, 1946, 9544, 513, 2887, 4677, 666, 581, 14785, 543, 26656, 269, 17949, 519, 16830, 4365, 267, 4603, 609, 1114, 7031, 267, 543, 521, 2948, 519, 4195, 10366, 540, 707, 2887, 7556, 2336, 18794, 1250, 17676, 12096, 12567, 7420, 547, 1205, 2947, 2395, 540, 1900, 8386, 9912, 5528, 593, 4058, 707, 2887, 4677, 910, 689, 7693, 5542, 547, 17501, 621, 782, 538, 2336, 7312, 31541, 538, 519, 12567, 267, 0, 3963, 666, 6091, 538, 12472, 1312, 4228, 543, 4579, 888, 2026, 596, 917, 267, 6091, 538, 1483, 1272, 666, 1152, 4579, 543, 3138, 4923, 909, 267, 855, 711, 8362, 4228, 269, 769, 1931, 547, 581, 2111, 547, 1847, 513, 5642, 538, 1079, 6587, 8846, 267, 972, 2115, 547, 581, 513, 4887, 6292, 609, 1142, 4887, 17444, 538, 519, 6587, 4287, 563, 7712, 596, 2965, 1616, 971, 19915, 27399, 3350, 1034, 540, 519, 942, 267, 594, 4956, 547, 9192, 1312, 6091, 883, 835, 269, 3502, 1152, 798, 596, 1631, 723, 547, 1747, 7864, 6091, 538, 1931, 547, 1450, 585, 2596, 3350, 855, 713, 849, 20427, 4679, 519, 8458, 585, 513, 3811, 11191, 563, 1607, 568, 1317, 519, 811, 6091, 596, 1747, 593, 513, 13442, 267, 519, 811, 2693, 621, 568, 585, 891, 6091, 547, 22599, 1142, 824, 856, 799, 1131, 2014, 519, 13442, 547, 18923, 1847, 693, 782, 269, 1403, 596, 1185, 547, 1747, 4887, 8424, 1472, 1142, 4745, 267, 1287, 519, 1101, 3364, 1142, 13442, 1131, 723, 547, 1451, 1131, 581, 547, 2697, 971, 8424, 543, 1118, 2386, 519, 6091, 1810, 8072, 339, 1312, 4579, 693, 519, 1482, 942, 563, 300, 1120, 532, 513, 4887, 6292, 883, 513, 2582, 4887, 23352, 891, 2152, 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 ]
[ 3942, 540, 741, 1272, 2901, 538, 2417, 2069, 610, 4876, 563, 19968, 5525, 568, 835, 540, 519, 1034, 3486, 6594, 5396, 538, 519, 1158, 267, 1813, 547, 875, 3376, 519, 1641, 568, 269, 1306, 513, 3376, 1641, 538, 519, 1514, 9443, 267, 1870, 2090, 10741, 519, 1353, 2361, 547, 513, 1445, 540, 32258, 971, 607, 2272, 3599, 267, 8804, 267, 13539, 267, 1480, 2200, 2359, 543, 6725, 269, 6355, 5525, 568, 513, 1390, 3903, 585, 4896, 5461, 538, 519, 1158, 540, 16450, 543, 20835, 269, 898, 781, 513, 1390, 1259, 547, 5965, 585, 15400, 1565, 538, 519, 4610, 540, 1870, 543, 2359, 267, 543, 547, 16491, 3054, 609, 519, 917, 24376, 547, 1376, 909, 707, 1378, 1870, 610, 1246, 513, 4876, 538, 8804, 267, 8051, 267, 6725, 610, 2359, 2022, 6280, 269, 3414, 6355, 5525, 23722, 267, 596, 3513, 4497, 609, 519, 1158, 540, 1870, 998, 519, 2796, 540, 1699, 1870, 7835, 543, 1483, 1870, 3871, 269, 1411, 3513, 1451, 875, 2359, 267, 5718, 543, 3375, 6194, 666, 2087, 2773, 538, 6725, 267, 10512, 267, 2883, 543, 1480, 2200, 543, 891, 2127, 607, 782, 3334, 540, 519, 21038, 616, 4988, 538, 3178, 267, 3384, 707, 1620, 543, 17117, 540, 519, 1641, 269, 1411, 3513, 849, 2263, 519, 954, 22366, 2470, 540, 1870, 2238, 543, 875, 789, 1860, 4213, 267, 581, 789, 1804, 610, 1507, 267, 5177, 610, 18368, 1445, 338, 539, 543, 538, 1114, 9922, 971, 607, 3028, 610, 5663, 269, 1411, 3513, 1451, 875, 547, 20272, 8013, 5054, 543, 6990, 282, 2708, 875, 5683, 267, 2825, 543, 6639, 2188, 3310, 3375, 1818, 282, 946, 513, 2039, 540, 11050, 543, 1875, 6709, 656, 5511, 1239, 547, 6218, 7580, 543, 6198, 3681, 282, 1174, 875, 3375, 1500, 1860, 8639, 543, 875, 789, 786, 4431, 269, 1411, 786, 2263, 875, 4213, 957, 607, 3743, 4961, 543, 2285, 1394, 547, 519, 2115, 540, 741, 2199, 2146, 269, 1411, 786, 1451, 875, 547, 18663, 5234, 1210, 513, 2039, 540, 13075, 543, 1875, 15065, 8767, 2409, 269, 1411, 786, 1451, 1018, 2306, 606, 31369, 6205, 543, 875, 547, 1205, 519, 1655, 689, 707, 5234, 269, 1411, 3513, 849, 1020, 707, 2565, 2079, 267, 3375, 6194, 543, 1966, 9010, 1983, 998, 4101, 1543, 543, 2013, 2090, 269, 634, 1702, 543, 1983, 6591, 593, 713, 1576, 666, 581, 3351, 2213, 538, 513, 5458, 2039, 540, 1870, 543, 2359, 4610, 267, 616, 4483, 762, 2066, 1082, 2127, 540, 1353, 543, 22825, 543, 666, 581, 1031, 547, 4383, 707, 2123, 3375, 6194, 267, 4058, 543, 18083, 563, 2171, 2832, 547, 5512, 1053, 547, 1020, 513, 2648, 585, 519, 1641, 543, 606, 1620, 602, 972, 616, 1100, 7182, 547, 741, 2123, 1646, 538, 1620, 519, 6988, 540, 1870, 543, 7311, 741, 6791, 547, 1870, 2013, 2090, 538, 513, 5077, 894, 4390, 563, 5978, 5075, 568, 547, 1683, 2298, 1870, 2069, 547, 16491, 1053, 547, 946, 12438, 1049, 543, 11455, 3206, 543, 5876, 547, 1174, 543, 1689, 519, 1158, 269, 6355, 2090, 814, 2620, 6402, 609, 6128, 267, 6530, 267, 15257, 267, 543, 1374, 543, 2029, 267, 543, 2488, 4030, 883, 1312, 7443, 1818, 543, 711, 585, 7443, 14540, 269, 0, 8448, 2565, 4247, 6849, 7858, 328, 2209, 538, 29903, 1331, 3478, 519, 2530, 543, 3441, 2508, 630, 652, 21521, 693, 30505, 2767, 264, 547, 948, 519, 23698, 5734, 2477, 547, 25580, 2950, 543, 11177, 8134, 543, 3858, 532, 593, 513, 5943, 585, 519, 8303, 15716, 779, 2518, 3804, 593, 9542, 563, 296, 1087, 1132, 602, 616, 2693, 547, 4309, 1454, 3007, 267, 543, 799, 949, 581, 10630, 2066, 1896, 27410, 12535, 267, 1331, 1648, 5912, 543, 1426, 1949, 7004, 269, 1306, 568, 1419, 519, 2013, 267, 5717, 543, 16395, 593, 875, 547, 8804, 519, 2916, 5912, 616, 2693, 547, 1491, 8998, 3942, 563, 296, 928, 638, 1275, 568, 693, 519, 2295, 540, 519, 2339, 454, 4263, 519, 4295, 540, 782, 540, 713, 616, 519, 6927, 540, 3486, 17604, 543, 943, 2084, 856, 540, 642, 6479, 4690, 563, 1789, 260, 540, 519, 2518, 2551, 2729, 538, 2127, 602, 1522, 1831, 796, 4725, 3386, 538, 519, 4947, 5756, 269, 2755, 7092, 519, 1034, 689, 2916, 1689, 267, 789, 12520, 519, 2547, 267, 1317, 621, 568, 910, 3622, 6340, 910, 849, 519, 30529, 851, 540, 519, 1158, 779, 2551, 563, 295, 2788, 540, 519, 30529, 1004, 538, 519, 1158, 616, 3743, 585, 1152, 476, 278, 260, 540, 519, 3327, 12998, 267, 1247, 519, 1283, 476, 1015, 260, 540, 519, 29659, 2043, 616, 3743, 585, 476, 2004, 260, 540, 782, 5434, 267, 2687, 547, 513, 1007, 7621, 325, 600, 9539, 990, 756, 1867, 269, 2201, 1283, 540, 602, 267, 519, 30529, 1004, 2356, 2661, 538, 519, 1034, 7925, 2127, 563, 6097, 547, 10222, 617, 657, 7813, 267, 713, 2115, 547, 581, 12193, 693, 30505, 2764, 269, 898, 568, 827, 943, 2084, 856, 8093, 10173, 267, 513, 6209, 2530, 543, 3441, 2508, 267, 543, 827, 2916, 8804, 563, 288, 14097, 585, 943, 2084, 856, 8093, 10173, 454, 293, 1601, 559, 10173, 1107, 5755, 267, 3282, 543, 3154, 1107, 616, 519, 1292, 10256, 540, 519, 2916, 6433, 269, 8616, 789, 616, 711, 5018, 2899, 538, 519, 8303, 15716, 269, 7736, 532, 1007, 3408, 543, 7269, 543, 943, 2084, 13050, 8093, 4492, 2504, 568, 2565, 936, 519, 1985, 8717, 547, 1832, 519, 1158, 538, 1899, 609, 2518, 2916, 3853, 543, 547, 2057, 21472, 2916, 17522, 269, 3807, 5063, 267, 519, 6167, 7968, 13870, 29361, 7797, 476, 1708, 274, 19230, 602, 8093, 4492, 10868, 4566, 616, 14944, 1456, 519, 1158, 779, 8458, 540, 5870, 938, 2518, 2916, 9072, 269, 901, 2460, 568, 540, 25932, 2956, 693, 713, 795, 15802, 563, 288, 1713, 851, 540, 519, 4357, 5823, 814, 267, 538, 2487, 1296, 267, 8149, 547, 7700, 547, 2916, 17846, 269, 11048, 267, 519, 2962, 3144, 3976, 2484, 3788, 13385, 269, 634, 1158, 779, 476, 2568, 7887, 8492, 723, 29253, 1269, 276, 269, 276, 18265, 883, 519, 8093, 4492, 2872, 2094, 519, 8303, 15716, 267, 2687, 547, 519, 30914, 593, 8693, 24755, 657, 7797, 269, 901, 568, 538, 22880, 4334, 609, 1018, 649, 991, 269, 634, 14063, 1445, 1058, 581, 593, 519, 16122, 4305, 540, 943, 2084, 856, 8093, 4492, 8804, 267, 4481, 19944, 5224, 1489, 585, 1007, 3408, 563, 763, 3646, 540, 6608, 267, 519, 2883, 5823, 543, 4213, 1590, 14556, 1518, 282, 513, 6071, 32410, 568, 13385, 269, 12539, 5777, 267, 7939, 267, 943, 2084, 856, 540, 8093, 4492, 24307, 543, 11413, 666, 3432, 909, 713, 5912, 269, 5015, 267, 10222, 617, 657, 7813, 7125, 585, 6608, 547, 1489, 513, 16155, 11006, 267, 3486, 26187, 559, 23556, 6348, 6261, 1503, 604, 3130, 15521, 543, 12167, 538, 12797, 540, 971, 14097, 693, 519, 30505, 2764, 269, 1284, 3494, 602, 513, 26187, 559, 23556, 6348, 6261, 1503, 604, 3130, 15521, 568, 519, 7508, 3656, 7271, 547, 2673, 519, 7934, 1063, 2121, 4642, 27606, 543, 2965, 8236, 873, 269, 898, 5932, 513, 2312, 13374, 267, 519, 1318, 15314, 543, 513, 1377, 4730, 2361, 585, 4213, 547, 1847, 2476, 689, 8093, 10173, 269, 6936, 1764, 6013, 538, 6405, 3527, 2864, 982, 6071, 19647, 563, 293, 12099, 2877, 585, 17846, 543, 9542, 454, 5415, 982, 538, 3105, 2910, 11679, 267, 519, 16786, 568, 827, 1312, 2916, 17846, 543, 9542, 543, 519, 14104, 2877, 547, 1205, 1919, 2944, 269, 2060, 8375, 2916, 3441, 543, 2810, 4220, 540, 8757, 512, 6235, 2798, 538, 8134, 267, 811, 3007, 547, 9542, 568, 2877, 585, 513, 1175, 5912, 267, 2523, 2094, 891, 4220, 616, 19466, 538, 6932, 2477, 563, 288, 2603, 540, 3854, 568, 2877, 585, 1312, 543, 713, 1590, 2097, 689, 1857, 543, 4357, 2959, 269, 10705, 267, 5717, 616, 827, 519, 14104, 10616, 267, 12719, 602, 17542, 610, 1256, 959, 650, 687, 616, 7508, 269, 1717, 267, 519, 4890, 2048, 326, 777, 685, 607, 4080, 676, 3875, 5359, 568, 513, 535, 1112, 1190, 1297, 281, 621, 568, 513, 4999, 540, 3854, 2469, 519, 4636, 1259, 630, 560, 650, 14104, 540, 8093, 10173, 267, 8093, 4492, 24307, 264, 543, 1394, 13768, 11994, 540, 1981, 543, 7024, 269, 901, 666, 581, 12193, 676, 1732, 7939, 563, 1103, 476, 1220, 280, 519, 5763, 5006, 6082, 8149, 547, 3246, 1269, 1911, 5479, 513, 1032, 540, 2916, 8804, 1489, 547, 3384, 2477, 538, 2916, 17846, 269, 634, 8545, 723, 1279, 1318, 2685, 5360, 7134, 602, 2916, 8804, 568, 1419, 771, 321, 2720, 539, 538, 1932, 2370, 5666, 267, 1932, 7444, 543, 1932, 15490, 569, 563, 4263, 30505, 2764, 267, 14547, 6082, 786, 711, 1152, 581, 4280, 547, 693, 2063, 2743, 519, 1269, 1911, 5479, 513, 1032, 7029, 689, 476, 1220, 280, 269, 1358, 786, 849, 723, 547, 20006, 16395, 593, 513, 1007, 5993, 2916, 8804, 3077, 547, 5372, 630, 663, 2333, 264, 519, 3312, 32410, 267, 799, 789, 723, 16219, 547, 798, 693, 519, 5767, 693, 519, 1439, 540, 476, 1708, 275, 563, 13010, 267, 693, 30505, 2767, 267, 606, 1271, 1267, 729, 519, 5137, 540, 513, 2530, 543, 3441, 2508, 267, 1264, 7757, 676, 513, 1412, 10520, 819, 531, 12233, 262, 585, 10512, 5314, 269, 3117, 7185, 6603, 538, 5437, 476, 1708, 274, 533, 2314, 519, 1259, 585, 30505, 2764, 13170, 267, 855, 2591, 2611, 269, 2549, 15927, 8462, 26251, 3823, 799, 3384, 2477, 602, 616, 5734, 23698, 676, 2916, 1689, 666, 4309, 2883, 1489, 267, 609, 513, 6069, 4199, 14305, 1062, 15877, 1808, 1806, 563, 14946, 539, 6082, 616, 24016, 547, 1291, 538, 14104, 267, 6028, 1866, 547, 3565, 32380, 269, 901, 14207, 267, 513, 1267, 540, 13882, 267, 3226, 609, 519, 2475, 267, 11363, 9316, 1510, 14344, 15668, 610, 13180, 267, 26354, 1543, 542, 609, 3384, 2477, 936, 3140, 5434, 563, 9617, 13289, 11451, 543, 25422, 454, 1432, 568, 1271, 11451, 267, 568, 849, 1271, 538, 3638, 2477, 269, 8693, 4507, 666, 1152, 8011, 952, 789, 616, 8537, 281, 713, 10522, 602, 519, 3915, 540, 2916, 1689, 1058, 581, 3838, 630, 3467, 982, 264, 8449, 936, 519, 2551, 269, 8409, 602, 3542, 1393, 811, 723, 811, 5763, 267, 865, 789, 1058, 2628, 811, 563, 2171, 3112, 11863, 1022, 811, 8488, 593, 713, 269, 634, 3790, 1131, 1831, 1256, 2362, 543, 512, 6235, 2798, 538, 519, 2916, 6433, 786, 581, 6603, 811, 4749, 269, 898, 568, 942, 519, 1158, 23216, 547, 8537, 2962, 267, 1354, 621, 568, 1932, 3735, 269, 0, 14549, 4276, 568, 1759, 593, 2792, 267, 799, 5713, 607, 513, 31026, 527, 585, 519, 5385, 540, 2093, 267, 4664, 267, 543, 1272, 2833, 269, 1280, 1978, 1004, 267, 1498, 267, 713, 8115, 8255, 883, 2042, 267, 543, 519, 4155, 540, 4082, 3587, 2352, 269, 3371, 514, 6013, 519, 1909, 540, 519, 5667, 2426, 12325, 267, 16594, 543, 5678, 26935, 1235, 267, 945, 616, 8149, 547, 4543, 1346, 945, 616, 10010, 547, 5968, 269, 769, 713, 4062, 267, 649, 4983, 519, 1713, 543, 1898, 1909, 602, 891, 4966, 1404, 538, 21528, 1004, 538, 4466, 741, 5639, 563, 763, 4295, 4557, 564, 540, 4633, 25082, 21454, 568, 519, 24235, 602, 21295, 2792, 568, 711, 1152, 606, 19038, 3363, 855, 606, 1898, 1480, 1303, 1856, 618, 269, 15526, 1058, 723, 519, 4960, 547, 5968, 543, 4497, 609, 1866, 267, 1256, 1346, 945, 6560, 609, 4633, 1813, 547, 14715, 10108, 267, 4633, 17244, 267, 1893, 17799, 267, 588, 32211, 267, 610, 2147, 2152, 563, 16449, 513, 4633, 25082, 2619, 6048, 781, 1883, 11645, 568, 519, 6268, 543, 2126, 540, 1004, 609, 2792, 23043, 269, 1452, 16293, 22942, 519, 1880, 7965, 513, 1268, 568, 7231, 609, 676, 513, 3575, 540, 8343, 267, 13387, 20241, 267, 543, 3346, 609, 519, 1367, 543, 741, 14077, 269, 29114, 1819, 2126, 7459, 616, 9112, 593, 1283, 540, 713, 10368, 5650, 563, 11854, 3663, 25082, 2619, 5505, 1683, 25191, 2126, 1036, 6036, 1310, 8159, 519, 2042, 269, 1452, 4566, 616, 2966, 547, 2743, 519, 1808, 4170, 540, 1142, 1268, 267, 2921, 883, 2272, 1919, 899, 2085, 267, 519, 2186, 540, 2792, 3390, 267, 543, 519, 1268, 781, 6859, 269, 589, 1906, 1806, 540, 9354, 4485, 616, 13994, 1637, 5751, 267, 1893, 14242, 2238, 267, 543, 4948, 2792, 6454, 2553, 563, 15900, 6304, 568, 2565, 585, 1453, 269, 16594, 25082, 2619, 5505, 4749, 4308, 609, 1762, 1453, 547, 1521, 4713, 610, 11095, 17799, 602, 949, 29572, 741, 2702, 547, 5968, 269, 7216, 6304, 666, 24390, 519, 2009, 2360, 593, 513, 1126, 781, 1514, 543, 7214, 1646, 538, 1840, 547, 14123, 3811, 2792, 563, 19741, 1893 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1007, 1761, 568, 966, 7117, 273, 284, 595, 273, 476, 272, 476, 272, 815, 476, 2190, 6398, 476, 1015, 476, 272, 815, 634, 30579, 269, 2991, 519, 2095, 540, 5279, 269, 277, 5038, 6398, 476, 1015, 476, 1015, 1107, 275, 595, 2991, 519, 6467, 568, 1500, 593, 269, 476, 4029, 269, 276, 1547, 7597, 274, 273, 316, 476, 274, 269, 476, 5952, 769, 786, 581, 1482, 780, 336, 815, 546, 272, 546, 273, 476, 4029, 269, 7117, 292, 815, 27002, 966, 11272, 3196, 815, 7117, 292, 815, 546, 7117, 1141, 966, 1107, 15783, 269, 6349, 476, 279, 269, 513, 476, 271, 815, 286, 536, 815, 476, 271, 546, 272, 513, 273, 546, 273, 3371, 7117, 815, 669, 732, 593, 19218, 269, 1535, 273, 284, 513, 5861, 777, 659, 3218, 476, 2641, 269, 6860, 674, 623, 966, 476, 271, 269, 586, 284, 476, 272, 336, 292, 476, 273, 332, 803, 645, 546, 273, 476, 273, 1535, 513, 589, 546, 272, 1141, 586, 1107, 26432, 3845, 4988, 610, 1535, 1107, 21222, 7267, 3845, 4988, 1107, 19461, 6991, 3245, 519, 2016, 1239, 269, 4905, 476, 271, 1547, 476, 271, 269, 815, 589, 7117, 966, 290, 595, 284, 7117, 476, 271, 546, 815, 3722, 476, 271, 476, 271, 589, 7117, 292, 815, 8406, 1627, 31357, 815, 589, 815, 8406, 476, 271, 815, 476, 271, 269, 277, 1547, 1822, 6246, 815, 476, 6246, 631, 309, 476, 1015, 476, 280, 3199, 476, 279, 269, 476, 5952, 476, 1015, 476, 1321, 966, 476, 1911, 815, 476, 271, 269, 2048, 336, 685, 1280, 513, 9901, 9325, 547, 581, 15810, 538, 2427, 547, 10824, 540, 513, 6252, 6676, 19218, 609, 3167, 2361, 661, 269, 6860, 674, 9717, 602, 2527, 540, 9325, 544, 815, 476, 1015, 8406, 932, 1618, 476, 272, 815, 1107, 476, 271, 269, 272, 815, 476, 271, 269, 546, 1107, 9668, 540, 1312, 519, 10824, 269, 6349, 674, 634, 17817, 31887, 595, 815, 476, 273, 634, 9325, 949, 581, 538, 11466, 269, 6860, 815, 476, 271, 269, 2913, 2527, 540, 6475, 815, 932, 1618, 6475, 815, 552, 1284, 917, 269, 4905, 595, 589, 815, 476, 1911, 4699, 476, 273, 2913, 1761, 815, 966, 476, 271, 1547, 7117, 815, 595, 6398, 966, 1141, 595, 815, 4982, 20884, 31887, 540, 519, 2698, 11460, 815, 6398, 966, 273, 513, 476, 271, 476, 271, 546, 272, 1924, 269, 865, 602, 519, 530, 339, 269, 5952, 476, 1015, 966, 815, 476, 1822, 273, 476, 271, 269, 1590, 581, 7059, 676, 519, 3167, 3196, 9117, 909, 20758, 269, 661, 284, 681, 1280, 19218, 589, 1107, 966, 272, 815, 7117, 284, 595, 272, 7117, 323, 476, 272, 607, 513, 476, 273, 595, 476, 271, 476, 272, 966, 284, 7117, 323, 476, 272, 815, 513, 273, 476, 271, 546, 272, 513, 273, 7117, 1547, 476, 2420, 269, 272, 6398, 476, 280, 3199, 476, 271, 1547, 540, 519, 9325, 9117, 1524, 20758, 269, 546, 586, 284, 476, 2641, 16317, 527, 6971, 547, 2147, 538, 519, 2013, 540, 630, 321, 264, 1299, 630, 322, 264, 607, 2048, 321, 685, 666, 849, 581, 2854, 607, 269, 634, 10231, 540, 6475, 513, 634, 10231, 540, 23442, 815, 631, 335, 7117, 30937, 815, 2725, 1107, 3134, 1107, 1535, 7117, 335, 661, 1107, 1107, 1107, 1107, 7117, 324, 552, 1700, 343, 661, 661, 7117, 701, 815, 3284, 476, 272, 19038, 634, 3845, 24964, 676, 23442, 2473, 815, 476, 273, 634, 3845, 24964, 676, 6475, 2560, 263, 273, 264, 3245, 630, 272, 264, 543, 630, 273, 264, 476, 273, 1107, 2473, 815, 476, 273, 7117, 335, 661, 1535, 476, 273, 284, 1535, 3284, 1035, 631, 533, 2560, 263, 272, 264, 476, 272, 320, 524, 512, 273, 476, 272, 320, 1535, 815, 476, 273, 524, 512, 273, 7117, 322, 674, 5062, 476, 280, 269, 543, 18839, 538, 3830, 476, 4029, 269, 649, 1205, 269, 279, 7176, 6398, 476, 1015, 1107, 476, 276, 269, 476, 273, 966, 20660, 476, 273, 815, 3738, 546, 272, 544, 5560, 272, 579, 815, 476, 273, 546, 966, 20660, 546, 272, 544, 263, 546, 272, 552, 476, 273, 476, 272, 270, 273, 546, 272, 815, 476, 272, 476, 273, 630, 323, 476, 272, 552, 966, 546, 3738, 332, 476, 273, 513, 273, 579, 273, 579, 476, 273, 546, 273, 3738, 1341, 1341, 1341, 1341, 1341, 1341, 476, 273, 476, 273, 4699, 476, 2537, 269, 630, 320, 264, 9474, 476, 272, 674, 476, 274, 674, 476, 272, 476, 276, 674, 9474, 476, 274, 476, 273, 674, 476, 277, 674, 476, 273, 476, 277, 476, 272, 674, 476, 274, 674, 1306, 519, 8115, 538, 7059, 972, 568, 1100, 1699, 998, 519, 476, 276, 674, 19218, 1924, 269, 1839, 674, 476, 276, 674, 476, 273, 674, 476, 277, 674, 476, 1839, 269, 9826, 5400, 280, 26297, 476, 1015, 1547, 272, 476, 272, 269, 4510, 280, 1107, 275, 1535, 815, 476, 1015, 269, 9919, 336, 815, 476, 277, 476, 279, 476, 272, 284, 476, 274, 476, 272, 476, 274, 476, 273, 476, 273, 1627, 272, 476, 275, 476, 277, 476, 274, 815, 476, 1321, 476, 279, 476, 4366, 476, 277, 815, 1321, 476, 273, 269, 476, 2190, 5861, 777, 659, 3218, 9747, 661, 815, 7117, 815, 513, 273, 476, 271, 815, 513, 273, 3738, 476, 271, 630, 323, 476, 272, 966, 476, 271, 966, 630, 323, 476, 272, 546, 3738, 476, 273, 513, 273, 546, 476, 273, 15240, 23082, 519, 1239, 538, 519, 1634, 3830, 269, 272, 284, 476, 1015, 476, 272, 269, 278, 1547, 279, 7176, 815, 476, 1015, 476, 275, 1535, 815, 476, 1822, 276, 4510, 280, 476, 272, 269, 4510, 280, 6398, 476, 1015, 1535, 476, 271, 269, 6858, 1107, 275, 815, 476, 1015, 476, 275, 6398, 476, 1015, 476, 276, 269, 630, 320, 264, 1635, 8520, 1505, 3498, 538, 519, 6806, 5547, 13235, 629, 6395, 1107, 1321, 1341, 674, 476, 273, 304, 1627, 272, 476, 271, 476, 273, 476, 273, 815, 293, 2560, 263, 272, 264, 293, 645, 273, 674, 476, 273, 674, 1627, 1627, 476, 275, 674, 630, 304, 1107, 1627, 476, 272, 3738, 5084, 476, 272, 595, 513, 769, 519, 2673, 5547, 13235, 6395, 1627, 1627, 1627, 272, 1107, 1321, 1341, 674, 476, 271, 476, 273, 815, 293, 2560, 263, 273, 264, 476, 275, 3245, 630, 272, 264, 543, 630, 273, 264, 476, 273, 304, 1341, 476, 274, 304, 1656, 476, 274, 304, 1107, 7117, 476, 272, 476, 275, 674, 536, 815, 476, 4366, 2560, 263, 274, 264, 476, 272, 815, 476, 4366, 543, 18946, 1627, 815, 476, 275, 304, 1547, 476, 6858, 476, 1015, 1107, 275, 476, 4029, 476, 2767, 815, 1535, 476, 273, 284, 1535, 5062, 631, 335, 476, 280, 780, 5560, 264, 476, 277, 309, 476, 1321, 966, 513, 476, 2190, 966, 476, 275, 674, 476, 273, 674, 476, 272, 674, 1627, 815, 595, 271, 815, 476, 271, 966, 629, 815, 476, 271, 536, 634, 2121, 1761, 815, 2781, 28446, 1107, 966, 321, 815, 1107, 476, 1015, 269, 865, 519, 1699, 979, 2509, 18688, 689, 22601, 25539, 289, 1482, 607, 519, 1699, 689, 11581, 290, 23813, 269, 634, 2121, 5279, 1627, 815, 476, 271, 966, 815, 595, 634, 1761, 693, 918, 568, 4642, 269, 7117, 476, 272, 476, 4366, 815, 476, 1556, 1627, 966, 629, 815, 674, 476, 272, 476, 275, 284, 476, 275, 630, 321, 264, 513, 476, 273, 674, 476, 4366, 476, 1556, 815, 476, 1556, 476, 1321, 966, 513, 476, 273, 674, 476, 275, 674, 536, 476, 1321, 966, 476, 275, 674, 536, 476, 2190, 966, 476, 2190, 966, 634, 1761, 815, 476, 2190, 1107, 476, 1321, 815, 476, 1321, 15783, 3017, 966, 815, 476, 275, 634, 28446, 1107, 966, 321, 815, 1107, 476, 279, 966, 630, 322, 264, 589, 19382, 476, 273, 309, 645, 513, 9406, 476, 273, 309, 595, 476, 277, 630, 476, 273, 815, 476, 271, 476, 1321, 476, 273, 476, 275, 264, 476, 4366, 815, 476, 279, 966, 476, 273, 674, 674, 536, 661, 476, 273, 674, 667, 3245, 519, 4137, 621, 568, 23498, 602, 519, 2451, 543, 1318, 7936, 616, 15340, 543, 20328, 269, 630, 320, 264, 4880, 815, 476, 278, 1173, 552, 669, 4880, 3692, 328, 16009, 476, 2190, 815, 476, 2190, 476, 278, 476, 2190, 476, 7761, 476, 1015, 269, 279, 1547, 22479, 659, 3218, 476, 273, 304, 1341, 476, 274, 304, 476, 272, 815, 476, 4366, 476, 279, 1627, 476, 272, 1341, 476, 274, 304, 476, 272, 815, 476, 4366, 476, 1556, 304, 476, 1321, 966, 476, 272, 815, 476, 4366, 269, 274, 966, 476, 2918, 269, 274, 966, 476, 274, 270, 279, 476, 272, 674, 476, 274, 674, 476, 275, 674, 476, 1321, 270, 279, 476, 275, 270, 279, 476, 274, 674, 476, 272, 674, 476, 275, 270, 279, 476, 274, 270, 279, 476, 274, 270, 279, 476, 1321, 270, 279, 476, 272, 270, 273, 476, 274, 270, 273, 1635, 5182, 18647, 7503, 476, 274, 815, 476, 2190, 476, 279, 476, 274, 476, 272, 476, 273, 476, 272, 476, 273, 476, 274, 476, 273, 476, 274, 476, 273, 476, 274, 674, 476, 272, 674, 476, 272, 476, 272, 595, 552, 325, 535, 815, 476, 274, 815, 476, 3374, 476, 2190, 476, 279, 476, 280, 815, 3374, 476, 277, 476, 1556, 674, 476, 274, 674, 476, 272, 674, 476, 274, 476, 4029, 780, 22479, 659, 3218, 630, 321, 264, 476, 272, 674, 476, 274, 674, 476, 273, 674, 476, 275, 674, 476, 273, 674, 476, 275, 674, 476, 274, 674, 476, 272, 674, 676, 5182, 18647, 5996, 16428, 476, 274, 1315, 279, 535, 476, 274, 270, 273, 535, 476, 274, 270, 279, 535, 476, 272, 476, 273, 270, 476, 279, 535, 476, 272, 270, 476, 273, 535, 476, 275, 270, 476, 279, 535, 476, 273, 535, 476, 273, 535, 476, 275, 270, 279, 476, 272, 476, 273, 270, 476, 279, 535, 535, 476, 273, 535, 476, 273, 535, 476, 274, 270, 273, 476, 274, 270, 279, 535, 535, 476, 274, 1315, 279, 535, 476, 272, 270, 476, 273, 535, 476, 274, 270, 279, 535, 476, 275, 535, 476, 275, 535, 476, 274, 476, 1626, 815, 476, 279, 815, 476, 275, 476, 279, 476, 279, 476, 274, 270, 476, 279, 535, 476, 274, 476, 1556, 535, 630, 322, 264, 476, 273, 674, 476, 275, 674, 476, 275, 270, 274, 674, 476, 276, 674, 476, 275, 674, 476, 279, 674, 476, 279, 270, 274, 674, 476, 275, 674, 476, 275, 674, 476, 275, 476, 279, 595, 1030, 815, 476, 275, 815, 476, 279, 674, 476, 274, 476, 274, 630, 323, 264, 476, 273, 535, 476, 275, 535, 476, 277, 535, 476, 275, 535, 476, 275, 535, 476, 277, 535, 476, 273, 535, 476, 279, 270, 277, 535, 476, 275, 535, 476, 273, 535, 476, 275, 535, 476, 277, 535, 476, 279, 535, 476, 279, 535, 476, 275, 535, 476, 275, 535, 476, 279, 535, 476, 279, 535, 476, 273, 535, 476, 275, 535, 476, 3953, 1315, 476, 272, 476, 273, 476, 3953, 1315, 476, 272, 476, 273, 535, 535, 476, 279, 270, 277, 535, 476, 274, 476, 3953, 595, 1030, 815, 476, 277, 815, 476, 277, 476, 279, 476, 1321, 476, 4029, 269, 280, 476, 3953, 476, 1321, 476, 279, 476, 1626, 815, 3953, 535, 476, 279, 16317, 22479, 659, 3218, 476, 2767, 269, 972, 786, 581, 30050, 1689, 952, 519, 11460, 568, 2944, 606, 538, 8431, 1107, 476, 273, 266, 290, 595, 284, 595, 476, 272, 595, 552, 336, 815, 595, 476, 273, 630, 273, 1341, 595, 264, 6398, 595, 815, 476, 274, 290, 1341, 476, 273, 595, 476, 273, 476, 273, 290, 476, 273, 476, 273, 595, 1107, 290, 1700, 273, 284, 271, 630, 290, 1107, 273, 264, 630, 290, 1341, 476, 272, 264, 815, 476, 271, 595, 815, 1107, 272, 630, 19808, 6372, 264, 1924, 269, 476, 273, 535, 476, 272, 476, 276, 476, 277, 476, 278, 476, 279, 645, 476, 273, 535, 476, 273, 476, 274, 476, 275, 476, 273, 535, 476, 273, 535, 589, 815, 595, 476, 276, 543, 595, 476, 273, 284, 273, 476, 272, 595, 552, 336, 815, 476, 273, 476, 273, 476, 272, 616, 538, 3126, 901, 568, 6252, 547, 595, 6904, 568, 3126, 547, 595, 6904, 568, 6252, 547, 595, 6904, 568, 3126, 547, 595, 6904, 568, 6252, 547, 595, 901, 568, 3126, 547, 595, 476, 2764, 269, 595, 476, 272, 476, 275, 815, 595, 476, 275, 476, 272, 595, 3973, 595, 543, 476 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 476, 274, 291, 26344, 5852, 692, 288, 4015, 540, 7044, 267, 3435, 267, 2238, 543, 3211, 602, 616, 5078, 585, 23722, 13174, 780, 1692, 547, 4194, 2042, 602, 4125, 476, 274, 291, 5546, 1210, 29890, 543, 519, 19456, 23768, 262, 14497, 2496, 763, 1739, 6516, 3947, 606, 1383, 540, 519, 16879, 540, 513, 1899, 593, 513, 7077, 543, 519, 5086, 1063, 513, 1899, 543, 543, 7077, 269, 2480, 2651, 1524, 519, 2985, 585, 811, 1806, 543, 3137, 593, 1210, 26344, 5852, 543, 519, 19456, 23768, 262, 14497, 547, 4194, 476, 274, 291, 2262, 2042, 780, 294, 17698, 13174, 476, 274, 667, 26344, 5852, 589, 265, 7726, 692, 7078, 912, 5723, 7374, 9128, 294, 568, 513, 4396, 7750, 1355, 563, 320, 264, 4855, 519, 3259, 18688, 454, 321, 264, 12433, 519, 5086, 602, 645, 295, 2306, 609, 519, 7077, 9474, 25539, 780, 29368, 4569, 5525, 281, 476, 274, 291, 26344, 5852, 692, 14300, 1384, 272, 269, 589, 4055, 568, 538, 519, 3337, 540, 513, 7750, 1355, 269, 4706, 6989, 3800, 476, 278, 269, 273, 332, 676, 476, 280, 269, 277, 332, 543, 922, 4463, 568, 476, 274, 269, 276, 332, 563, 320, 264, 12433, 519, 3259, 540, 8028, 454, 321, 264, 12433, 519, 3259, 540, 17985, 454, 322, 264, 12433, 519, 5086, 602, 17985, 2306, 609, 519, 6989, 563, 273, 269, 634, 1318, 18158, 3254, 538, 519, 6516, 814, 513, 4009, 3490, 609, 5011, 540, 3259, 476, 2412, 4699, 269, 634, 4463, 540, 519, 18158, 568, 849, 476, 2412, 4699, 563, 320, 264, 4855, 519, 3259, 540, 28267, 563, 321, 264, 4855, 519, 2450, 540, 5086, 744, 21990, 780, 307, 3419, 517, 5852, 543, 19456, 23768, 538, 476, 274, 291, 25609, 454, 15612, 908, 606, 5086, 1063, 606, 6316, 543, 7077, 538, 513, 476, 274, 291, 3337, 1210, 19456, 23768, 543, 29890, 780, 7078, 912, 2690, 713, 7750, 1355, 5173, 454, 320, 264, 20099, 17985, 454, 321, 264, 24234, 1063, 17985, 543, 519, 7077, 13235, 291, 692, 17951, 548, 1063, 513, 1899, 543, 513, 7077, 692, 274, 291, 26344, 5852, 9046, 454, 763, 5249, 3070, 547, 513, 1614, 8820, 29890, 1966, 563, 288, 3529, 593, 519, 2484, 2427, 540, 513, 5757, 4871, 568, 1031, 547, 3313, 519, 8700, 540, 519, 5757, 609, 519, 948, 540, 513, 1906, 1318, 5086, 12730, 563, 3721, 476, 272, 281, 10576, 519, 1318, 7285, 538, 707, 6516, 563, 3721, 476, 273, 281, 3417, 782, 519, 7403, 538, 707, 6516, 780, 1692, 547, 798, 26344, 5852, 538, 8422, 7516, 888, 274, 291, 4645, 19456, 23768, 7750, 1355, 3487, 476, 272, 692, 7078, 912, 5723, 7374, 9128, 21203, 568, 513, 7750, 1355, 609, 7516, 476, 275, 332, 267, 476, 273, 332, 543, 476, 272, 269, 276, 332, 269, 2473, 568, 519, 30268, 540, 519, 2427, 31246, 269, 4855, 519, 13080, 8028, 267, 17985, 543, 589, 311, 269, 4855, 519, 7285, 717, 3722, 543, 589, 311, 289, 780, 274, 291, 17832, 19456, 23768, 7750, 1355, 851, 476, 273, 780, 274, 291, 17832, 19456, 23768, 7750, 1355, 851, 476, 274, 780, 274, 291, 17832, 19456, 23768, 7750, 1355, 851, 476, 275, 780, 274, 291, 17832, 19456, 23768, 7750, 1355, 851, 476, 276, 780, 2521, 519, 1863, 4569, 3118, 9498, 543, 1966, 24626, 2630, 547, 2259, 1585, 2979, 3584, 269, 8347, 519, 2016, 1806, 267, 610, 1826, 538, 707, 1378, 1966, 543, 2638, 707, 2626, 609, 519, 1900, 8386, 9912, 3137, 269, 0, 258, 8422, 4258, 1087, 10658, 26072, 692, 272, 269, 1635, 589, 12171, 269, 9412, 6202, 269, 6519, 547, 19898, 538, 1079, 7575, 269, 630, 22069, 1903, 616, 2630, 24355, 273, 269, 769, 476, 5908, 277, 6341, 700, 20477, 4280, 281, 14597, 596, 2461, 4730, 6519, 1996, 606, 18545, 945, 779, 2838, 547, 11604, 1169, 1847, 596, 1118, 2443, 952, 596, 1404, 476, 272, 269, 715, 325, 274, 646, 1590, 1404, 476, 272, 269, 2560, 715, 325, 277, 267, 543, 865, 593, 269, 2052, 596, 1374, 513, 3014, 538, 799, 707, 21632, 1847, 4229, 707, 18545, 547, 2638, 22940, 596, 609, 513, 1875, 18029, 2928, 1847, 2496, 274, 269, 1323, 1439, 18524, 1353, 676, 808, 6993, 269, 30683, 269, 968, 19669, 547, 1404, 543, 2721, 519, 3014, 14325, 258, 3683, 515, 731, 692, 288, 11015, 676, 23134, 22301, 3627, 29088, 517, 1230, 3118, 1384, 8310, 3781, 594, 2893, 3297, 1079, 530, 23275, 593, 513, 1668, 267, 543, 23986, 731, 519, 1739, 1384, 288, 281, 594, 723, 513, 2318, 7533, 1297, 540, 1453, 267, 4171, 6502, 616, 2318, 9981, 267, 519, 2040, 540, 799, 568, 519, 1297, 540, 713, 1668, 267, 1247, 519, 1587, 568, 1250, 1378, 2085, 780, 289, 281, 1215, 4277, 256, 12344, 952, 596, 5143, 803, 707, 2085, 543, 519, 1297, 540, 707, 1453, 267, 594, 1223, 960, 856, 741, 1367, 6502, 2496, 288, 281, 3143, 780, 289, 281, 589, 3873, 256, 11083, 700, 17129, 594, 917, 875, 2025, 596, 616, 2439, 22154, 568, 606, 6909, 11015, 2223, 11339, 20037, 1382, 24988, 570, 1415, 320, 10609, 990, 534, 13960, 269, 968, 1607, 568, 849, 606, 896, 1952, 3285, 730, 11015, 269, 898, 568, 811, 4277, 982, 621, 1522, 3100, 269, 1879, 2576, 3045, 25555, 519, 2626, 267, 621, 568, 711, 2312, 2436, 789, 723, 12193, 621, 4625, 14325, 2171, 666, 1376, 676, 2912, 819, 532, 1585, 1668, 2338, 269, 1280, 1383, 267, 519, 1297, 540, 519, 1668, 3112, 723, 1044, 476, 276, 267, 1317, 538, 1142, 2009, 2013, 519, 530, 19123, 779, 2085, 543, 519, 1297, 540, 1010, 1453, 1131, 1287, 19918, 3313, 741, 6502, 2443, 952, 519, 530, 19123, 568, 476, 274, 1296, 2025, 543, 814, 476, 274, 1453, 267, 1287, 741, 6502, 1590, 581, 476, 272, 267, 476, 272, 267, 543, 476, 274, 543, 646, 3112, 723, 1767, 968, 5591, 1848, 1924, 519, 1668, 1297, 3112, 581, 476, 276, 780, 2026, 649, 960, 938, 1259, 883, 2362, 1668, 2338, 713, 22464, 7106, 8986, 267, 855, 621, 779, 8719, 676, 1776, 1966, 2443, 519, 2034, 530, 19123, 1590, 581, 2111, 547, 17429, 576, 519, 1101, 530, 19123, 779, 2085, 5103, 519, 13509, 269, 1280, 1383, 267, 952, 519, 1668, 1297, 568, 476, 2641, 543, 519, 1101, 530, 19123, 6645, 721, 602, 646, 779, 476, 9834, 1296, 2025, 543, 814, 1614, 1453, 267, 1287, 621, 779, 3020, 602, 649, 666, 1406, 960, 856, 519, 1453, 779, 6502, 281, 1358, 1522, 581, 476, 272, 267, 476, 279, 267, 543, 476, 1321, 610, 476, 273, 267, 476, 274, 267, 543, 476, 1626, 269, 1809, 950, 519, 530, 19123, 28279, 721, 540, 713, 267, 649, 666, 1406, 17551, 15112, 11244, 569, 602, 693, 2063, 649, 917, 875, 2025, 646, 568, 267, 1317, 649, 1810, 1406, 2443, 646, 1522, 581, 476, 9834, 267, 855, 646, 1522, 849, 581, 476, 13301, 267, 609, 1453, 9907, 476, 275, 267, 476, 276, 267, 543, 476, 1321, 610, 476, 274, 267, 476, 279, 267, 543, 476, 1015, 269, 1924, 519, 5188, 1657, 3112, 723, 3144, 1747, 780, 3719, 5469, 602, 952, 649, 2333, 519, 1668, 1297, 676, 476, 272, 267, 547, 476, 2420, 267, 1287, 782, 519, 2979, 1657, 786, 1869, 960, 952, 649, 2285, 519, 530, 19123, 606, 3063, 476, 272, 4458, 6040, 1126, 281, 1261, 1522, 1631, 581, 476, 9834, 1296, 2025, 609, 2185, 1453, 6502, 476, 272, 267, 476, 272, 267, 476, 279, 267, 543, 476, 1321, 610, 476, 272, 267, 476, 273, 267, 476, 274, 267, 543, 476, 1626, 282, 610, 646, 1522, 581, 476, 13301, 609, 2185, 1453, 6502, 476, 272, 267, 476, 275, 267, 476, 276, 267, 543, 476, 1321, 610, 476, 272, 267, 476, 274, 267, 476, 279, 267, 543, 476, 1015, 269, 634, 1297, 540, 1453, 4679, 676, 476, 272, 267, 519, 2040, 540, 741, 6502, 4679, 676, 476, 272, 267, 543, 519, 1587, 3788, 519, 1482, 269, 1924, 952, 1668, 1297, 536, 7472, 1079, 2009, 6502, 585, 654, 19123, 589, 267, 1287, 865, 786, 1668, 1297, 536, 1341, 476, 272, 2443, 799, 1797, 602, 649, 1810, 1406, 723, 547, 2638, 1022, 1668, 2338, 3677, 982, 476, 2641, 780, 1607, 7182, 519, 1966, 547, 513, 19242, 2450, 267, 543, 621, 7140, 856, 602, 519, 1668, 1297, 568, 476, 1321, 543, 654, 19123, 589, 568, 476, 4366, 2443, 602, 779, 519, 1152, 2085, 585, 799, 519, 1668, 1297, 543, 519, 1297, 540, 1453, 798, 711, 19918, 3313, 519, 1453, 779, 6502, 630, 16269, 1522, 581, 476, 273, 267, 476, 273, 267, 476, 273, 267, 543, 476, 277, 610, 476, 272, 267, 476, 274, 267, 476, 275, 267, 543, 476, 275, 6393, 24867, 1415, 320, 10609, 990, 534, 13960, 267, 968, 3519, 3118, 779, 654, 23275, 2223, 634, 19556, 2271, 749, 3394, 1356, 267, 5412, 476, 1001, 274, 24355, 10521, 2147, 13410, 281, 589, 30985, 22062, 566, 543, 589, 30985, 16510, 780, 258, 631, 850, 720, 692, 296, 4734, 1250, 4395, 7450, 267, 2196, 593, 513, 1377, 4155, 585, 930, 3845, 267, 1287, 2196, 547, 519, 1283, 540, 513, 14629, 543, 2132, 1753, 676, 519, 1482, 8905, 269, 594, 2196, 476, 279, 18890, 593, 1377, 2666, 267, 476, 277, 18890, 15081, 650, 267, 543, 476, 1321, 18890, 1524, 24824, 269, 1403, 1250, 2698, 7552, 3576, 476, 273, 3108, 267, 875, 2484, 1705, 594, 2196, 2496, 258, 4563, 543, 6519, 692, 3528, 589, 12171, 269, 9412, 6202, 269, 6519, 547, 19898, 538, 1079, 7575, 780, 258, 18391, 5455, 692, 288, 1966, 689, 519, 476, 1220, 271, 18293, 19556, 10493, 328, 611, 1384, 5278, 540, 519, 6486, 538, 513, 16064, 616, 3068, 1524, 543, 930, 616, 3068, 909, 269, 3245, 942, 547, 942, 8891, 324, 14405, 856, 513, 1895, 540, 835, 610, 811, 733, 27631, 6486, 538, 799, 519, 1101, 543, 2063, 616, 1312, 3068, 1524, 269, 1261, 7140, 936, 713, 1895, 607, 513, 1770, 543, 7024, 621, 547, 519, 16064, 538, 519, 2990, 689, 799, 646, 16668, 621, 269, 28171, 602, 5555, 782, 519, 6486, 538, 519, 16064, 786, 581, 3068, 909, 267, 1100, 2339, 875, 8891, 324, 23131, 780, 258, 1548, 2549, 594, 2496, 1103, 476, 8146, 272, 713, 678, 1497, 7902, 538, 513, 3703, 8313, 11331, 14301, 18740, 2480, 1905, 16847, 3143, 269, 476, 1704, 1384, 1103, 519, 544, 1941, 950, 594, 4473, 267, 1315, 594, 1930, 1250, 4064, 267, 1315, 774, 334, 685, 594, 683, 685, 518, 3207, 513, 530, 1074, 782, 3781, 3248, 2252, 594, 12687, 552, 685, 518, 865, 4166, 267, 1315, 594, 1869, 9114, 11489, 29869, 267, 1315, 1656, 2628, 1100, 2543, 547, 519, 1769, 780, 296, 723, 2530, 267, 594, 723, 2744, 267, 1315, 594, 723, 12257, 267, 543, 1928, 282, 1315, 1656, 993, 27052, 609, 1082, 513, 4174, 701, 3248, 2414, 27298, 1250, 530, 4141, 267, 1315, 594, 6633, 3659, 543, 535, 4141, 267, 1315, 1656, 1250, 1256, 902, 594, 1439, 609, 513, 10612, 780, 296, 2951, 13383, 269, 1315, 1656, 683, 685, 518, 4413, 1250, 4155, 267, 1315, 28791, 594, 993, 1558, 676, 513, 24928, 3248, 2252, 596, 2097, 538, 1250, 1259, 267, 1315, 6904, 596, 1360, 1134, 949, 267, 1315, 1411, 786, 2141, 581, 1641, 547, 8594, 780, 296, 993, 669, 4292, 267, 594, 993, 1762, 267, 1315, 594, 993, 561, 755, 344, 267, 543, 2178, 267, 1315, 1656, 1250, 6208, 540, 339, 1689, 538, 513, 1554, 3248, 2414, 5480, 594, 683, 685, 518, 979, 267, 1315, 2549, 1100, 14799, 6862, 581, 879, 267, 1315, 8616, 607, 9808, 559, 543, 9735, 607, 789, 780, 296, 2661, 513, 2110, 942, 267, 1315, 594, 5884, 538, 1250, 6305, 267, 1315, 700, 3512, 539, 676, 782, 945, 4865, 803, 3248, 2252, 594, 1039, 1022, 811, 267, 1315, 1677, 1018, 779, 1767, 1354, 1315, 594, 6557, 12922, 596, 786, 3362, 7058, 803, 780, 2005, 729, 18188, 968, 2690, 6904, 513, 8827, 1772, 22490, 2223, 5310, 2495, 602, 519, 9375, 5128, 1705, 711, 917, 519, 3070, 269, 594, 1589, 646, 949, 723, 1336, 519, 678, 1497, 538, 634, 15248, 779, 18225, 267, 799, 1185, 3370, 621, 26687, 3585, 538, 5181, 476, 9965, 271, 1510, 4758, 519, 2626, 269, 10251, 646, 4667, 547, 723, 1044, 25922, 2443, 519, 14301, 18740, 2480, 1905, 16847, 2760, 9102, 513, 3070, 2901, 780, 288, 2540, 543, 513, 3368, 2663, 267, 538, 476, 2735, 272, 267, 18321, 661, 1188, 2401, 13934, 519, 3988, 540, 6478, 18467, 281, 634, 4750, 540, 1234, 920, 1049, 23008, 2524, 547, 1589, 540, 606, 2626, 267, 5356, 513, 1032, 779, 20478, 547, 519, 4760, 607, 513, 8007, 269, 1879, 1100, 835, 1185 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 563, 763, 1353, 779, 1291, 2278, 267, 3220, 1744, 16336, 4354, 7315, 267, 1767, 519, 2164, 1058, 1118, 1004, 811, 21713, 827, 741, 946, 540, 1928, 26973, 619, 563, 2108, 2690, 4896, 6236, 2921, 891, 2010, 540, 6527, 5781, 267, 621, 568, 19624, 547, 5077, 609, 513, 3782, 3318, 547, 1865, 519, 4220, 543, 2640, 543, 547, 2263, 2436, 972, 616, 8925, 547, 519, 946, 540, 6527, 2223, 513, 268, 1352, 10294, 563, 2467, 616, 930, 7687, 547, 519, 2164, 563, 763, 3173, 16941, 593, 1582, 3146, 19959, 1239, 689, 519, 2021, 538, 519, 1353, 3823, 1312, 13046, 543, 1928, 330, 14525, 946, 267, 865, 972, 616, 1761, 10727, 2152, 538, 519, 1239, 563, 4913, 267, 607, 519, 4589, 7074, 267, 13046, 568, 513, 2783, 602, 666, 1152, 581, 9228, 676, 519, 1367, 267, 865, 789, 1185, 547, 7048, 593, 1582, 3146, 1636, 532, 585, 1239, 4015, 563, 763, 3169, 18262, 540, 1928, 26973, 619, 3144, 829, 1554, 676, 519, 5171, 729, 711, 7074, 538, 519, 1353, 563, 763, 1353, 729, 849, 22423, 267, 2495, 519, 3169, 2014, 540, 519, 16045, 779, 13046, 3112, 581, 5462, 563, 763, 1382, 5205, 1776, 1353, 3370, 538, 519, 4760, 19449, 27218, 267, 799, 1336, 602, 1279, 3856, 946, 540, 1612, 659, 564, 600, 565, 949, 2333, 519, 1981, 540, 2295, 2068, 543, 8482, 538, 1004, 609, 1164, 1973, 2604, 563, 12867, 689, 519, 2160, 540, 25470, 1767, 2550, 945, 723, 513, 1279, 3856, 13310, 585, 519, 1928, 330, 14525, 267, 3335, 1031, 585, 519, 2126, 540, 5312, 1928, 267, 1058, 1904, 585, 519, 9803, 2500, 9570, 585, 519, 13074, 8653, 269, 2009, 2110, 563, 1103, 519, 1353, 267, 476, 8099, 2550, 609, 513, 1686, 540, 1164, 1973, 2604, 941, 11311, 835, 6121, 540, 1612, 659, 564, 600, 565, 2185, 2053, 513, 1554, 1107, 513, 9570, 4122, 11311, 538, 2550, 609, 5312, 1928, 1107, 610, 513, 12805, 21897, 585, 1079, 4374, 269, 2353, 2550, 4607, 1312, 5574, 267, 519, 1931, 1373, 19747, 543, 9420, 539, 563, 10144, 945, 941, 11311, 1612, 659, 564, 600, 565, 4718, 741, 1973, 2604, 4473, 3648, 267, 3379, 547, 1346, 945, 3576, 519, 21897, 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 ]
[ 0, 258, 476, 277, 269, 876, 343, 9046, 5590, 476, 276, 454, 16482, 258, 3487, 476, 273, 910, 23414, 7838, 31064, 692, 16482, 258, 9046, 476, 274, 281, 1234, 15479, 633, 21642, 1234, 951, 531, 454, 16482, 3698, 9258, 21803, 5416, 18360, 2187, 825, 8173, 825, 9717, 513, 5569, 267, 16571, 1947, 7024, 513, 20328, 5299, 540, 519, 5569, 563, 825, 1280, 1383, 267, 952, 519, 5569, 568, 1412, 29582, 3299, 519, 1599, 7024, 1412, 322, 9346, 23823, 825, 634, 1152, 5569, 4238, 596, 616, 4847, 547, 946, 616, 4994, 532, 2676, 825, 14253, 532, 267, 543, 6677, 22760, 566, 563, 8931, 825, 513, 18360, 281, 513, 5569, 454, 825, 7024, 281, 513, 20328, 5569, 454, 825, 8173, 825, 952, 7003, 5416, 18360, 264, 2652, 476, 271, 610, 7003, 5416, 18360, 264, 2652, 476, 272, 912, 1038, 2132, 513, 18360, 454, 825, 3116, 912, 1038, 2132, 513, 18360, 15631, 272, 316, 1341, 9258, 21803, 5416, 18360, 11468, 268, 272, 8079, 8528, 2745, 9258, 21803, 3488, 29582, 10807, 8931, 16482, 258, 9046, 476, 275, 281, 2473, 268, 1014, 454, 16482, 3698, 1535, 318, 1014, 3287, 267, 2262, 2187, 825, 8173, 825, 9717, 513, 5569, 1535, 267, 7024, 6936, 952, 782, 519, 5022, 538, 1535, 616, 454, 825, 8659, 538, 2262, 538, 519, 1482, 1931, 607, 789, 2408, 538, 1535, 780, 825, 21188, 1535, 318, 1014, 3488, 20143, 3299, 1412, 1067, 527, 7100, 5073, 825, 6936, 454, 825, 21188, 1535, 318, 1014, 3488, 20143, 3299, 1412, 1356, 1756, 5073, 825, 8771, 454, 825, 21188, 1535, 318, 1014, 3488, 329, 7897, 3299, 1412, 332, 1695, 329, 784, 5073, 825, 8771, 22562, 825, 1535, 281, 513, 5569, 454, 825, 2262, 281, 513, 5569, 454, 825, 7024, 281, 6936, 952, 2262, 568, 1535, 318, 1014, 267, 8771, 6382, 454, 825, 8173, 825, 952, 7003, 3287, 264, 2652, 476, 271, 912, 1038, 2132, 6936, 454, 825, 8640, 7003, 3287, 264, 2652, 476, 272, 912, 1038, 2132, 1535, 538, 2262, 454, 825, 8640, 1535, 314, 271, 316, 538, 2262, 912, 1038, 2132, 1535, 318, 1014, 3287, 314, 272, 281, 3910, 2262, 314, 5320, 26098, 3287, 314, 271, 8079, 266, 272, 281, 7481, 825, 3116, 912, 1038, 2132, 8771, 8528, 2745, 1535, 318, 1014, 3488, 20143, 3299, 1412, 1067, 527, 7100, 5073, 2745, 1535, 318, 1014, 3488, 20143, 3299, 1412, 1356, 1756, 5073, 2745, 1535, 318, 1014, 3488, 338, 541, 2088, 3299, 1412, 322, 345, 541, 2088, 5073, 2745, 1535, 318, 1014, 3488, 531, 9109, 3299, 1412, 335, 8403, 591, 532, 5073, 2745, 1535, 318, 1014, 3488, 329, 7897, 3299, 1412, 332, 1695, 329, 784, 5073, 2745, 1535, 318, 1014, 3488, 20143, 3299, 1412, 531, 5040, 545, 5073, 16482, 258, 9046, 476, 276, 281, 7392, 23116, 454, 16482, 3698, 7696, 6124, 6050, 29495, 267, 1899, 21920, 2187, 825, 8173, 825, 9717, 1257, 543, 513, 5551, 1899, 3259, 267, 16833, 519, 1257, 607, 513, 1826, 23116, 1131, 563, 825, 23453, 513, 1007, 1467, 1915, 9497, 315, 333, 8442, 1310, 1142, 2262, 602, 10301, 610, 20489, 454, 825, 519, 5551, 1899, 3259, 780, 825, 1257, 281, 513, 5569, 5627, 519, 1257, 547, 16833, 563, 825, 1899, 28747, 281, 519, 1297, 540, 3197, 547, 1331, 593, 513, 1899, 1354, 28277, 454, 1038, 519, 1985, 2262, 563, 825, 7024, 281, 513, 5569, 267, 609, 1007, 1467, 3197, 17332, 14013, 269, 3097, 825, 8173, 825, 1948, 6919, 815, 1257, 21858, 4590, 825, 952, 7003, 29495, 264, 2999, 1899, 21920, 912, 1038, 2132, 1257, 454, 825, 3116, 912, 1038, 952, 1257, 314, 1467, 21920, 316, 2652, 1412, 1412, 912, 2018, 2132, 1257, 11468, 1467, 21920, 1341, 476, 272, 316, 1341, 1412, 315, 333, 262, 1341, 7696, 6124, 6050, 29495, 314, 1467, 21920, 1341, 476, 272, 281, 4940, 331, 29328, 19572, 1899, 21920, 994, 1038, 3116, 912, 2018, 952, 1257, 26098, 3488, 22207, 1899, 21920, 910, 476, 272, 264, 11203, 910, 272, 912, 3546, 2132, 1257, 11468, 3667, 26098, 3488, 22207, 1899, 21920, 910, 476, 272, 13580, 1341, 1412, 315, 333, 262, 1341, 7696, 6124, 6050, 29495, 314, 3667, 26098, 3488, 22207, 1899, 21920, 268, 272, 2567, 4940, 331, 29328, 19572, 1899, 21920, 994, 2018, 3116, 912, 3546, 2132, 1257, 11468, 316, 1948, 266, 1412, 315, 333, 262, 1341, 7696, 6124, 6050, 29495, 11468, 4940, 331, 29328, 19572, 1899, 21920, 2020, 2745, 7696, 6124, 6050, 3488, 305, 24655, 1257, 547, 16833, 1586, 269, 3299, 476, 276, 994, 2745, 454, 2745, 7696, 6124, 6050, 3488, 4407, 594, 2503, 1007, 7214, 9035, 6619, 267, 4986, 786, 5635, 547, 519, 17938, 1791, 566, 540, 519, 1158, 19145, 18517, 602, 649, 3812, 1927, 269, 3299, 476, 1428, 994, 2745, 3097, 2745, 7696, 6124, 6050, 3488, 301, 7795, 268, 7795, 256, 1284, 1577, 3755, 8917, 593, 8292, 543, 4159, 873, 676, 1297, 540, 16018, 269, 15526, 6487, 602, 2306, 621, 7543, 585, 513, 1906, 10770, 9739, 547, 20441, 519, 4901, 269, 3299, 476, 736, 264, 0, 258, 295, 1872, 334, 1477, 258, 1805, 4958, 577, 543, 7420, 11644, 476, 273, 5897, 5897, 11845, 815, 1193, 9272, 2891, 8923, 4283, 513, 4266, 538, 519, 3898, 30250, 270, 12613, 270, 312, 312, 281, 834, 17903, 1485, 815, 4266, 11468, 273, 15947, 24629, 815, 4266, 314, 274, 281, 276, 15947, 20204, 815, 4266, 314, 277, 281, 279, 316, 5897, 604, 3923, 2652, 834, 4905, 257, 6769, 825, 3923, 815, 9497, 20464, 14744, 19197, 3923, 2652, 834, 6349, 257, 6769, 825, 3923, 815, 9497, 21938, 14744, 19197, 3923, 2652, 834, 6734, 257, 6769, 825, 3923, 815, 9497, 18550, 14744, 19197, 3923, 2652, 834, 6860, 257, 6769, 825, 3923, 815, 9497, 19688, 14744, 19197, 3923, 2652, 834, 4962, 257, 6769, 825, 3923, 815, 9497, 9802, 14744, 19197, 3923, 2652, 834, 6187, 257, 6769, 825, 3923, 815, 9497, 18907, 14744, 19197, 3923, 2652, 834, 5881, 257, 6769, 825, 3923, 815, 9497, 20809, 14744, 19197, 3923, 2652, 834, 5400, 257, 6769, 825, 3923, 815, 9497, 20606, 14744, 19197, 3923, 2652, 834, 6021, 257, 6769, 825, 3923, 815, 9497, 20826, 14744, 19197, 3923, 2652, 834, 1015, 257, 6769, 825, 3923, 815, 9497, 19751, 14744, 19197, 3923, 2652, 834, 1556, 257, 6769, 825, 3923, 815, 9497, 21776, 14744, 19197, 3923, 2652, 834, 1321, 257, 6769, 825, 3923, 815, 9497, 20103, 14744, 12828, 6769, 567, 1820, 815, 9497, 1103, 20777, 3923, 257, 10142, 604, 1554, 2652, 834, 4905, 257, 6769, 825, 1554, 815, 834, 272, 560, 29177, 19197, 1554, 2652, 834, 6349, 257, 6769, 825, 1554, 815, 834, 273, 526, 29177, 19197, 1554, 2652, 834, 6734, 257, 6769, 825, 1554, 815, 834, 274, 6113, 29177, 19197, 1554, 2652, 834, 2641, 257, 6769, 825, 1554, 815, 834, 2641, 560, 29177, 19197, 1554, 2652, 834, 2420, 257, 6769, 825, 1554, 815, 834, 2420, 526, 29177, 19197, 1554, 2652, 834, 2537, 257, 6769, 825, 1554, 815, 834, 2537, 6113, 257, 5897, 2745, 2891, 346, 271, 348, 2715, 272, 348, 476, 736, 346, 273, 348, 2668, 8971, 263, 1485, 267, 3923, 267, 1032, 17903, 0, 5228, 4351, 1104, 28219, 842, 7531, 5035, 8950, 32156, 912, 825, 23288, 825, 4147, 4534, 8950, 32156, 454, 1038, 3115, 637, 757, 519, 8950, 6345, 563, 825, 5900, 1026, 2373, 912, 1038, 7183, 454, 825, 10613, 912, 1038, 2824, 7272, 19991, 4534, 2824, 338, 513, 4570, 4062, 547, 1847, 454, 1038, 1118, 8548, 913, 4534, 6920, 519, 8274, 306, 13645, 1843, 547, 1847, 454, 2018, 519, 5697, 4062, 547, 454, 825, 15981, 692, 825, 1219, 2824, 7272, 19991, 4311, 267, 13708, 652, 622, 2187, 1038, 23288, 1038, 6396, 4534, 2824, 7272, 19991, 454, 2018, 901, 1599, 7024, 513, 4570, 2638, 518, 12328, 1843, 602, 519, 454, 3546, 8950, 32156, 786, 1847, 563, 1038, 30352, 912, 2018, 1582, 4534, 519, 1699, 8950, 32156, 1843, 454, 2018, 13708, 652, 622, 4534, 606, 1843, 8204, 519, 1699, 1533, 540, 519, 3014, 454, 1038, 16849, 912, 2018, 589, 2638, 518, 12328, 1843, 5697, 676, 519, 8950, 32156, 547, 1847, 563, 1038, 23288, 1038, 4062, 26000, 21124, 815, 7183, 454, 1038, 4570, 7272, 773, 806, 815, 13708, 652, 622, 10947, 318, 20777, 7272, 773, 806, 4590, 1038, 952, 7003, 263, 20777, 7272, 773, 806, 264, 11203, 476, 271, 912, 2018, 4994, 815, 28219, 842, 263, 271, 267, 7003, 263, 20777, 7272, 773, 806, 9984, 272, 994, 2018, 4062, 26000, 21124, 815, 4570, 7272, 773, 806, 27709, 2639, 1038, 2132, 4062, 26000, 21124, 692, 825, 1219, 1118, 8548, 913, 4311, 267, 2638, 518, 12328, 267, 10945, 2187, 1038, 23288, 1038, 6396, 4534, 1118, 8548, 913, 454, 2018, 16849, 513, 8274, 306, 13645, 1843, 2016, 513, 1808, 6744, 518, 303, 19991, 563, 3546, 634, 8274, 306, 13645, 1843, 4564, 513, 4570, 4087, 454, 3546, 519, 6744, 518, 303, 19991, 1843, 666, 1847, 547, 593, 519, 4604, 563, 1038, 30352, 912, 2018, 1582, 4534, 519, 1699, 8950, 32156, 1843, 454, 2018, 2638, 518, 12328, 4534, 589, 6744, 518, 303, 19991, 1843, 602, 814, 1044, 5697, 454, 3546, 676, 519, 8950, 32156, 563, 2018, 10945, 4534, 589, 1592, 540, 8638, 8204, 519, 1533, 540, 519, 3014, 454, 3546, 4604, 543, 1141, 1142, 1843, 568, 1747, 593, 519, 4604, 454, 1038, 16849, 912, 2018, 589, 8274, 306, 13645, 1843, 10834, 519, 4087, 547, 1141, 454, 3546, 519, 5697, 6744, 518, 303, 19991, 1843, 1058, 1847, 563, 1038, 23288, 1038, 1847, 15220, 7860, 815, 7183, 454, 1038, 1847, 15220, 7860, 815, 2638, 518, 12328, 10947, 7272, 6372, 8548, 7174, 4433, 638, 4100, 994, 1038, 952, 1847, 15220, 7860, 11203, 476, 271, 912, 2018, 4994, 815, 28219, 842, 263, 271, 267, 7003, 9852, 913, 15220, 7860, 9984, 272, 994, 2018, 1847, 26000, 21124, 815, 1847, 15220, 7860, 27709, 2639, 1038, 2132, 1847, 26000, 21124, 454, 0, 258, 256, 1315, 23591, 24800, 19841, 341, 9226, 692, 258, 4855, 519, 6241, 2012, 543, 4737, 1297, 540, 513, 2016, 1305, 540, 2418, 538, 513, 26417, 3758, 563, 16482, 258, 1280, 1383, 267, 952, 649, 723, 513, 26417, 3758, 454, 258, 672, 8745, 267, 476, 6520, 267, 672, 4975, 267, 476, 29485, 454, 258, 672, 13544, 267, 567, 476, 4097, 267, 567, 17638, 267, 825, 476, 14028, 454, 258, 672, 681, 16951, 267, 567, 476, 4029, 267, 825, 16156, 267, 825, 476, 10082, 454, 258, 672, 589, 14508, 267, 567, 476, 1626, 267, 567, 29180, 267, 672, 476, 10037, 454, 258, 825, 15011, 527, 267, 567, 476, 4029, 267, 825, 16156, 267, 825, 476, 15757, 454, 258, 825, 26890, 6511, 267, 567, 476, 10037, 267, 825, 16156, 267, 825, 476, 13893, 454, 258, 476, 32599, 684, 752, 267, 567, 476, 3374, 267, 567, 29180, 267, 825, 476, 13670, 454, 258, 825, 32599, 684, 267, 567, 476, 3374, 267, 476, 2051, 558, 2692, 267, 825, 476, 9340, 454, 16482, 258, 543, 2016, 513, 1305, 540, 2418, 1496, 4029, 267, 476, 10037, 267, 1412, 309, 324, 6511, 11172, 649, 1616, 547, 3977, 454, 16482, 258, 4737, 267, 897, 267, 1871, 454, 258, 476, 277, 267, 476, 8745, 267, 26890, 6511, 454, 258, 476, 274, 267, 567, 6520, 267, 825, 476, 4029, 454, 258, 476, 276, 267, 567, 6520, 267, 825, 476, 4029, 454, 258, 476, 277, 267, 567, 6520, 267, 825, 476, 10037, 454, 258, 476, 275, 267, 29485, 267, 825, 476, 10037, 692, 5814, 21795, 607, 19073, 454, 5814, 11885, 607, 5286, 454, 5814, 2415, 27785, 454, 5814, 19523, 7531, 3698, 1612, 572, 318, 1173, 3701, 10031, 825, 16163, 518, 815, 2415, 27785, 269, 26855, 2163, 303, 32242, 18692, 1038, 6609, 8782, 8340, 519, 6241, 2012, 543, 4737, 1297, 540, 513, 2016, 1305, 540, 2418, 538, 513, 26417, 3758, 269, 5073, 825, 16163, 518, 14491, 318, 30348, 3488, 12803, 12173, 3299, 2962, 8782, 32697, 3299, 948, 8782, 4067, 540, 519, 1239, 3758, 5073, 825, 16163, 518, 14491, 318, 30348, 3488, 11161, 3299, 562, 16911, 8782, 266, 3299, 948, 8782, 7407, 4433, 264, 547, 3406, 269, 9484, 541, 730, 676, 5624, 5073, 825, 16163, 518, 14491, 318, 30348, 3488, 268, 341, 3299, 1412, 734, 14620, 846, 3299, 2962, 8782, 32697, 4671, 4902, 3299, 9949, 25716, 267, 3186, 8782, 14620, 846, 22779, 13376, 948, 8782, 19651, 3181, 1872, 3977, 17210, 825, 26571, 815, 16163, 518, 269, 27785, 318, 16911, 4590, 825, 952, 26571, 269, 14620, 846, 912, 1038, 585, 1883, 267, 1871, 538, 26571, 11519, 1326, 17624, 342, 16911, 10031, 2018, 952, 1871, 568, 711, 7183, 912, 3546, 1820, 31107, 267, 1871, 994, 825, 2132, 26571, 7531, 3698, 1205, 22674, 318, 4900, 29254, 267, 2418, 2187, 825, 887, 1233, 636, 815, 1412, 3497, 636, 271, 7055 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2164, 269, 1452, 2645, 666, 11126, 740, 13389, 267, 6578, 14305, 267, 543, 20261, 547, 11694, 5859, 7145, 543, 2132, 593, 5092, 269, 3642, 10276, 12574, 5859, 11938, 16877, 2344, 619, 547, 1118, 5483, 3664, 267, 2087, 5859, 21614, 296, 267, 543, 5397, 1870, 2208, 563, 12892, 9012, 5811, 454, 9590, 14617, 1514, 2923, 2079, 2645, 723, 19117, 519, 6725, 543, 10229, 2872, 676, 3246, 29829, 4030, 543, 3678, 908, 1514, 2923, 2359, 269, 1452, 2645, 666, 5659, 1514, 2923, 1239, 267, 1519, 19528, 267, 18941, 267, 543, 6278, 267, 547, 2697, 3466, 267, 2268, 5859, 1967, 267, 543, 6895, 6216, 10639, 269, 3642, 6620, 666, 849, 25117, 1514, 2923, 20319, 267, 1543, 13629, 267, 543, 3210, 2359, 269, 1635, 16107, 3642, 585, 1514, 2923, 2079, 267, 2344, 619, 666, 11126, 1514, 2923, 2994, 267, 2087, 6216, 8226, 267, 543, 3986, 6075, 6278, 563, 21328, 543, 7780, 1988, 12752, 454, 9590, 4066, 723, 9927, 7470, 11938, 538, 519, 1648, 543, 20848, 2872, 676, 5355, 1648, 6771, 543, 3892, 4398, 269, 3642, 14617, 7470, 11938, 1949, 666, 5659, 1483, 6066, 1239, 689, 8596, 267, 4365, 23004, 267, 543, 3747, 3270, 547, 3666, 1648, 3761, 543, 3747, 811, 3927, 269, 1452, 1949, 666, 11126, 7470, 4238, 267, 2569, 1648, 9271, 267, 543, 3986, 7470, 6617, 269, 25373, 11938, 609, 3642, 6087, 1648, 7426, 547, 2087, 6075, 3028, 267, 2569, 3790, 267, 543, 1489, 519, 5610, 540, 7791, 1648, 2959, 563, 303, 9438, 633, 20904, 585, 24486, 454, 9590, 14617, 16762, 5826, 1949, 616, 13321, 519, 1648, 543, 20848, 2872, 676, 7175, 14942, 5826, 540, 2565, 5989, 269, 1452, 1949, 5659, 9300, 1239, 267, 3937, 2773, 14573, 267, 543, 3140, 5826, 5638, 547, 3589, 1761, 14286, 543, 5826, 2115, 269, 1635, 16326, 2152, 538, 4434, 267, 1648, 543, 20848, 3549, 666, 8430, 5826, 2238, 7561, 267, 7413, 29987, 267, 543, 11126, 519, 14438, 540, 5989, 7221, 269, 21023, 633, 5826, 1949, 948, 3986, 10727, 267, 2569, 5826, 3790, 267, 543, 2087, 2949, 10512, 4398, 563, 21328, 24637, 5983, 26511, 454, 9590, 14617, 1648, 3747, 20925, 1949, 723, 19117, 519, 1648, 543, 20848, 2872, 676, 8308, 17782, 1648, 4616, 543, 17306, 1648, 2504, 543, 3892, 269, 1452, 1949, 5659, 3140, 1648, 4616, 1239, 267, 4365, 23004, 267, 543, 824, 4143, 2188, 547, 9472, 2104, 1648, 3747, 269, 1635, 1818, 4977, 11236, 267, 1648, 7426, 666, 11126, 1648, 5108, 267, 2057, 2504, 22907, 610, 1147, 680, 4926, 267, 543, 2569, 3790, 269, 6052, 3747, 20925, 6087, 1648, 3549, 547, 3986, 10512, 4398, 267, 2569, 13829, 593, 8093, 10173, 267, 543, 1489, 519, 5610, 540, 7791, 1648, 2959, 563, 27319, 5450, 1359, 543, 16424, 454, 27319, 1558, 1359, 543, 5464, 1949, 267, 13324, 676, 3642, 267, 5512, 4359, 1648, 9477, 543, 4616, 2079, 269, 1452, 1949, 8415, 5100, 7397, 543, 8596, 547, 2445, 1483, 6066, 1648, 4616, 1239, 689, 1367, 10820, 543, 5010, 5656, 269, 3642, 6620, 1287, 5659, 713, 1239, 547, 2697, 3270, 267, 3713, 22114, 267, 543, 1683, 4030, 593, 1648, 6165, 269, 12829, 1558, 1359, 543, 5464, 7668, 1648, 6800, 547, 1118, 5483, 3664, 827, 741, 1648, 4616, 267, 7175, 1648, 5726, 543, 1942, 9806, 563, 30262, 1168, 762, 6052, 5004, 454, 9590, 4066, 616, 30507, 7791, 1648, 2359, 676, 17306, 519, 5610, 543, 13345, 540, 7791, 1648, 2959, 269, 3642, 14617, 7791, 1648, 2359, 1949, 5659, 4365, 23004, 267, 1648, 3747, 3270, 267, 543, 1648, 5108, 19206, 547, 11126, 7791, 1648, 2504, 543, 3892, 269, 1452, 1949, 666, 11126, 519, 20319, 540, 7791, 1648, 2959, 267, 9472, 1648, 5108, 267, 543, 3589, 1648, 4859, 4170, 269, 1635, 16107, 3642, 585, 7791, 1648, 2359, 267, 1648, 7426, 666, 3986, 519, 10727, 543, 4398, 540, 7791, 1648, 1949, 267, 2569, 16126, 593, 8093, 10173, 267, 543, 3565, 547, 513, 22928, 543, 811, 4264, 2104, 563, 9590, 4066, 723, 19117, 8856, 8105, 676, 7175, 1239, 12454, 3375, 6194, 543, 5730, 6694, 2853, 269, 3642, 14617, 8856, 8105, 1949, 666, 5659, 1239, 689, 1585, 2959, 267, 1519, 9682, 11052, 267, 4365, 23004, 267, 543, 7693, 8596, 267, 547, 11126, 8105, 2238, 269, 1452, 1949, 666, 1683, 1483, 6066, 4030, 593, 3037, 2175, 267, 12555, 2115, 267, 11641, 2359, 267, 543, 7693, 1072, 269, 30059, 8105, 6087, 6705, 547, 2569, 4199, 729, 5653, 267, 11126, 7693, 11729, 267, 543, 2087, 2949, 6694, 6940, 563, 290, 1886, 8376, 24544, 454, 9590, 14617, 7693, 2068, 7020, 1949, 723, 9927, 519, 6683, 2872, 676, 5355, 2038, 7020, 543, 2126, 540, 7693, 3676, 269, 1452, 1949, 666, 5659, 2592, 540, 7031, 543, 10664, 267, 1210, 3642, 6620, 547, 2697, 2068, 2589, 267, 971, 607, 32396, 610, 22636, 269, 1635, 16326, 3676, 538, 741, 2038, 5933, 267, 6705, 666, 2936, 3617, 2126, 3800, 267, 2061, 2417, 3262, 267, 543, 7413, 7693, 9271, 269, 30495, 2068, 7020, 1949, 948, 6705, 3986, 7693, 1072, 267, 2333, 7607, 267, 543, 2569, 519, 991, 585, 13851, 563, 9590, 14617, 13184, 5464, 1949, 3986, 3662, 10304, 543, 2087, 3484, 2359, 2853, 538, 519, 6683, 2872, 269, 1452, 1949, 666, 6895, 3662, 2623, 267, 1072, 6724, 267, 543, 2825, 2175, 547, 2697, 4191, 540, 11605, 267, 4576, 267, 610, 22114, 269, 1635, 11179, 5464, 13184, 1072, 543, 2773, 267, 6705, 666, 1491, 12905, 2962, 267, 1683, 10531, 1416, 267, 543, 11126, 9960, 543, 2359, 2853, 269, 700, 12083, 5464, 1949, 2087, 3484, 4398, 267, 2327, 3662, 10304, 267, 543, 3565, 547, 4264, 3662, 8105, 2853, 563, 21659, 18352, 543, 667, 14772, 538, 11982, 454, 9590, 14617, 17562, 543, 19025, 616, 13321, 6683, 676, 3678, 908, 1585, 8105, 4247, 543, 7393, 7607, 269, 3642, 10276, 12574, 11608, 666, 1685, 513, 2039, 540, 6694, 4247, 267, 1519, 9544, 267, 16276, 267, 543, 18290, 1852, 267, 609, 8856, 543, 4398, 269, 667, 14772, 9280, 609, 3642, 6620, 543, 8596, 666, 7001, 19666, 11052, 267, 6895, 7693, 1072, 267, 543, 3713, 1761, 2152, 269, 1635, 16107, 17562, 543, 19025, 538, 6683, 267, 6705, 666, 2569, 8261, 4074, 267, 2333, 11729, 267, 543, 11126, 4199, 13345, 563, 27319, 7054, 3419, 566, 7010, 454, 9590, 14617, 5100, 12555, 1949, 723, 19117, 1216, 2359, 538, 6683, 676, 17306, 12555, 2853, 543, 10893, 1216, 729, 5653, 269, 1452, 1949, 8415, 3642, 6620, 547, 5659, 1239, 689, 4365, 23004, 267, 3037, 7509, 8596, 267, 543, 7693, 1216, 4170, 547, 8850, 4188, 12555, 16131, 543, 11126, 1216, 6165, 269, 12829, 12555, 1949, 948, 6705, 4688, 1216, 267, 2569, 3790, 267, 543, 2327, 6099, 7693, 2208, 269, 1635, 5355, 1216, 4398, 267, 891, 1949, 3565, 547, 4264, 6683, 543, 2825, 5726, 563, 9590, 4066, 616, 30507, 519, 6283, 2872, 609, 519, 1646, 540, 14628, 6472, 269, 3642, 14617, 14628, 6472, 946, 4359, 8596, 267, 12514, 267, 543, 3642, 6620, 547, 13498, 741, 10450, 267, 1118, 3664, 267, 543, 6330, 1510, 1480, 6304, 269, 32534, 6472, 723, 519, 1761, 547, 2087, 4155, 3106, 267, 2569, 6808, 20316, 267, 543, 3986, 6283, 4398, 269, 2060, 3642, 267, 14628, 6472, 666, 11179, 1451, 689, 1483, 8996, 6117, 1239, 267, 1818, 873, 811, 10995, 267, 6325, 267, 543, 5827, 563, 9590, 14617, 6808, 2359, 1949, 723, 9927, 6283, 676, 17306, 6808, 2095, 267, 4227, 20316, 267, 543, 5355, 2949, 6283, 4398, 269, 1452, 1949, 946, 1483, 6066, 1239, 689, 8596, 267, 12514, 267, 543, 4448, 6472, 547, 5659, 6808, 3270, 543, 4188, 6808, 5365, 4626, 902, 9935, 269, 3642, 6620, 666, 11126, 6808, 5365, 11558, 267, 3713, 13685, 267, 543, 1683, 1483, 6066, 6808, 10311, 547, 10256, 269, 1635, 16107, 3642, 585, 6808, 2359, 267, 4872, 543, 6283, 8041, 666, 3986, 10688, 267, 2569, 2951, 2053, 267, 543, 2087, 2949, 6283, 5989, 563, 303, 9438, 633, 20904, 585, 30863, 454, 9590, 14617, 16762, 5826, 1949, 616, 13321, 519, 6283, 2872, 676, 7175, 14942, 5826, 540, 6472, 543, 4227, 2736, 23957, 269, 1452, 1949, 5659, 9300, 1239, 267, 6174, 2773, 14573, 267, 543, 3140, 5826, 5638, 547, 3589, 1761, 14286, 543, 5826, 2115, 269, 1635, 16326, 2152, 538, 4434, 267, 6283, 3549, 666, 8430, 5826, 2238, 7561, 267, 7413, 6174, 29987, 267, 543, 11126, 519, 14438, 540, 6472, 269, 21023, 633, 5826, 1949, 948, 3986, 6174, 10727, 267, 2569, 5826, 3790, 267, 543, 2087, 2949, 18239, 2359, 563, 9590, 14617, 8905, 11938, 1949, 723, 19117, 6283, 676, 17306, 2951, 11507, 543, 4227, 4492, 4616, 269, 1452, 1949, 5659, 1483, 6066, 6808, 1239, 267, 4365, 2175, 267, 543, 824, 4632, 547, 5173, 519, 1034, 3608, 543, 942, 22766, 11507, 269, 1635, 3246, 10256, 609, 1483, 6066, 8905, 10311, 543, 7840, 267, 8905, 11938, 1949, 666, 2569, 2951, 2053, 267, 7413, 4492, 6165, 267, 543, 2087, 2949, 6283, 4398, 269, 3642, 10276, 12574, 8905, 11938, 2337, 6283, 3549, 2569, 3790, 267, 3986, 6075, 9547, 267, 543, 11694, 10512, 4398, 563, 305, 728, 27691, 2130, 543, 24822, 7896, 454, 9590, 4066, 723, 9927, 11878, 6879, 2130, 543, 6765, 2533, 676, 5355, 4398, 267, 4227, 3790, 267, 543, 7393, 519, 2949, 6075, 1995, 269, 3642, 14617, 6620, 5659, 1483, 6066, 1239, 593, 2951, 3270, 267, 3593, 7375, 267, 543, 9920, 8244, 547, 6474, 15915, 609, 10256, 543, 11126, 6174, 23332, 269, 1635, 16107, 3642, 267, 11878, 6879, 2130, 543, 6765, 2533, 666, 7413, 7227, 2053, 267, 2569, 8900, 6174, 12919, 267, 543, 2087, 3028, 10333, 269, 3642, 10276, 12574, 11878, 6879, 2130, 543, 6765, 2533, 5512, 15915, 543, 5561, 547, 2972, 10375, 543, 1942, 15807, 6283, 3681, 269, 0, 2026, 4213, 543, 2043, 4497, 538, 8852, 267, 621, 568, 1271, 547, 2327, 602, 519, 2474, 543, 2175, 540, 519, 6876, 616, 16155, 11006, 269, 901, 568, 1141, 519, 1850, 1275, 540, 513, 4570, 4579, 2501, 883, 1404, 269, 6181, 958, 11006, 11731, 616, 1898, 585, 4509, 3972, 543, 30176, 519, 8699, 540, 1870, 8852, 563, 288, 4570, 4579, 568, 7768, 540, 1896, 1883, 2609, 267, 1519, 606, 2709, 267, 10343, 267, 7156, 267, 543, 519, 9837, 547, 1711, 3656, 1894, 269, 9453, 891, 1898, 3334, 267, 513, 4579, 949, 711, 581, 16155, 11006, 563, 2304, 2709, 568, 513, 11556, 1500, 676, 835, 5428, 547, 1776, 267, 24152, 519, 2474, 543, 2175, 540, 519, 6069, 6876, 269, 634, 2709, 1590, 581, 18481, 1808, 543, 17386, 547, 1450, 519, 824, 5428, 547, 1174, 1018, 568, 1373, 6069, 269, 4495, 606, 2709, 814, 1044, 1500, 267, 519, 824, 5428, 814, 519, 4781, 547, 2901, 3398, 621, 267, 7947, 621, 267, 610, 4831, 4752, 518, 563, 10907, 1061, 766, 540, 606, 2709, 568, 2629, 547, 9591, 519, 1850, 1275, 540, 513, 4579, 269, 20504, 766, 1590, 581, 14955, 6463, 543, 11604, 519, 2474, 540, 519, 2709, 269, 7102, 11539, 689, 519, 3355, 2709, 949, 13822, 513, 18349, 543, 513, 1007, 2709, 1373, 1500, 563, 8256, 573, 3130, 568, 1776, 1898, 5057, 540, 513, 4570, 4579, 269, 3117, 573, 3130, 4016, 547, 1945, 540, 1871, 1373, 22121, 1063, 519, 6105, 267, 971, 607, 2724, 267, 5370, 267, 610, 2533, 269, 769, 1931, 585, 7156, 547, 581, 4570, 267, 621, 1590, 581, 540, 1871, 543, 20476, 7134, 585, 1063, 519, 6105, 563, 15563, 267, 621, 568, 1271, 585, 1312, 6105, 547, 723, 519, 9837, 547, 1711, 3656, 1894, 269, 901, 1797, 602, 1312, 6105, 1590, 723, 519, 1620, 602, 519, 6876, 789, 616, 10024, 883, 568, 16155, 11006, 543, 17997, 762, 563, 1103, 1840, 547, 891, 1883, 2609, 267, 972, 616, 849, 3656, 4170, 602, 1590, 581, 1558, 585, 513, 4579, 547, 581, 4570, 269, 1280, 1383, 267, 782, 6105, 3238, 1590, 723, 3656, 4390, 547, 4283, 883, 513, 4579, 269, 901, 1797, 602, 789, 1590, 581, 540, 3656, 2085, 267, 15508, 19579, 267, 543, 711, 896, 5918, 816, 610, 3768, 826, 3310, 563, 2005, 568, 849, 1271, 602, 519, 2474, 543, 2175, 540, 519, 4579, 616, 711, 10363, 610, 1996, 1857, 3609, 269, 1403, 513, 4579, 3423, 919, 1022, 4031, 610, 1857, 3609, 267, 621, 949, 711, 581, 17997, 762, 563, 14454, 267, 519, 1850, 1275, 540, 513, 4570, 4579, 568, 2629, 585, 1022, 1870, 610, 1367, 2502, 538, 8852, 269, 23496, 602, 782, 519, 2556, 2609, 616, 1459, 543, 602, 519, 4579, 10742, 782, 3656, 4170, 568, 1898, 585, 7863, 519, 2924, 543, 4690, 540, 782, 6105, 3238, 269, 1635, 2348, 513, 16155, 11006, 4579, 267, 6105, 666, 2057, 13882, 543, 2226, 3972, 543, 8699, 538, 1870, 8852, 269, 0, 6701, 596, 3168, 547, 22010, 707, 5122, 1062, 538, 707, 1753, 610, 5604, 286, 12305, 532, 11443, 12222, 585, 1769 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 547, 581, 519, 1753, 540, 1585, 19366, 2516, 543, 922, 6080, 4797, 547, 1683, 7694, 585, 922, 3395, 2551, 269, 20876, 519, 4797, 2956, 540, 1216, 6283, 547, 519, 2804, 1072, 540, 519, 1533, 267, 1715, 3840, 3557, 32206, 922, 12324, 1062, 538, 519, 6679, 1296, 540, 519, 14206, 2540, 609, 519, 1007, 645, 1618, 22575, 1062, 267, 13868, 1082, 2694, 540, 519, 661, 4471, 543, 11105, 23668, 602, 16941, 593, 7504, 268, 543, 544, 2544, 12454, 16996, 269, 634, 2749, 3964, 519, 1101, 18513, 19633, 538, 519, 2136, 2276, 538, 476, 4572, 278, 543, 7494, 9450, 922, 23747, 5211, 5800, 693, 519, 1482, 942, 563, 763, 4279, 12870, 3576, 922, 17167, 593, 7264, 540, 19186, 1415, 267, 855, 621, 729, 849, 519, 1747, 1141, 15284, 17619, 4603, 539, 609, 1533, 30845, 8323, 3646, 607, 1533, 17294, 1063, 476, 4572, 279, 543, 476, 4350, 273, 267, 2093, 602, 1010, 7245, 2417, 2919, 543, 15568, 593, 513, 3084, 4336, 1310, 646, 2968, 7022, 538, 476, 4350, 273, 269, 634, 2749, 849, 13859, 7980, 543, 4853, 2472, 547, 519, 3084, 4674, 1739, 519, 12176, 540, 2622, 2782, 4083, 538, 476, 3707, 272, 563, 763, 2022, 21351, 1974, 538, 19186, 1415, 729, 835, 540, 1713, 2242, 547, 519, 2749, 779, 4853, 3490, 267, 922, 2551, 267, 543, 922, 2168, 1646, 269, 634, 2749, 6603, 922, 5207, 2551, 540, 5176, 476, 13670, 267, 1822, 1004, 538, 519, 476, 4198, 271, 14829, 267, 855, 922, 2551, 543, 6080, 17379, 538, 519, 1974, 1739, 602, 269, 2991, 519, 2112, 267, 513, 1804, 3979, 12677, 9194, 689, 519, 3162, 2799, 519, 3109, 2551, 540, 19186, 1415, 543, 824, 7187, 4872, 267, 855, 519, 2749, 779, 2551, 538, 2489, 17379, 936, 519, 1296, 547, 7864, 982, 476, 1911, 267, 1822, 2221, 563, 763, 1034, 1713, 2168, 1689, 538, 519, 2749, 3357, 538, 476, 3422, 273, 609, 519, 23318, 676, 17135, 20307, 589, 269, 18842, 651, 325, 11839, 540, 519, 4070, 540, 519, 630, 852, 264, 7276, 3557, 1773, 18054, 11105, 547, 519, 3557, 7167, 20738, 267, 799, 23498, 476, 7176, 14143, 540, 5656, 543, 10754, 585, 513, 1007, 1950, 540, 1533, 13646, 543, 10198, 5624, 267, 607, 1134, 607, 513, 1007, 1533, 5399, 543, 9754, 563, 5475, 12032, 540, 519, 1788, 538, 476, 3192, 279, 543, 513, 1007, 1719, 538, 4683, 2713, 593, 519, 851, 540, 1762, 1004, 543, 968, 24105, 268, 5886, 1562, 2223, 519, 16973, 4478, 519, 1773, 18054, 941, 11222, 4106, 730, 538, 1804, 851, 609, 519, 6351, 540, 5313, 7991, 4886, 13332, 16827, 7482, 689, 519, 4972, 540, 24184, 543, 12124, 4886, 269, 2311, 519, 1482, 942, 267, 519, 3084, 8978, 11091, 3350, 3576, 3597, 538, 19186, 1415, 609, 519, 25465, 540, 19866, 19186, 1415, 7690, 267, 606, 14223, 1895, 6131, 547, 519, 11091, 540, 519, 3710, 1604, 538, 19186, 1415, 269, 0, 763, 7194, 5473, 8695, 543, 2069, 1413, 6926, 752, 269, 2859, 8695, 1166, 6064, 610, 6749, 856, 540, 1153, 982, 6690, 267, 543, 1762, 9038, 1118, 909, 811, 982, 1079, 22188, 540, 519, 1053, 538, 2027, 2069, 269, 21661, 519, 4604, 267, 538, 10026, 267, 1164, 1153, 267, 543, 2362, 2069, 267, 6690, 856, 704, 845, 8695, 538, 2543, 547, 6780, 543, 9344, 267, 607, 4080, 676, 519, 5398, 16340, 26511, 6796, 5680, 3135, 267, 533, 2125, 18499, 3820, 563, 3383, 945, 568, 547, 16620, 585, 267, 1018, 5654, 899, 267, 7911, 779, 3872, 3284, 4331, 286, 7812, 16399, 267, 1071, 10461, 540, 519, 1433, 14780, 2358, 595, 664, 281, 27986, 519, 16508, 5020, 540, 27258, 267, 11099, 602, 8695, 723, 1932, 1454, 1648, 585, 2757, 3506, 269, 968, 5415, 8695, 723, 2042, 609, 3007, 543, 1445, 982, 6690, 2507, 4517, 789, 616, 711, 2016, 2614, 3255, 1496, 514, 1153, 316, 547, 1847, 1472, 3034, 1320, 15106, 779, 3409, 949, 1489, 1946, 8695, 616, 1614, 2053, 607, 2693, 547, 581, 8995, 609, 23206, 4347, 7228, 15214, 13808, 13081, 630, 4696, 8461, 1040, 11048, 267, 8695, 945, 616, 711, 5828, 1055, 676, 519, 3668, 540, 3350, 543, 2534, 3330, 519, 4928, 616, 1419, 7479, 12184, 676, 6848, 476, 1571, 3544, 519, 4928, 267, 971, 607, 14228, 338, 543, 5061, 269, 1924, 875, 798, 649, 948, 1118, 1153, 543, 1565, 1187, 585, 938, 14930, 286, 1656, 875, 798, 649, 4001, 8695, 547, 1416, 827, 741, 2069, 5103, 519, 9465, 789, 3068, 538, 2757, 3506, 543, 2486, 286, 12989, 616, 1175, 513, 1906, 2081, 596, 666, 1205, 707, 14930, 593, 519, 1318, 3950, 563, 15675, 3506, 602, 2743, 707, 5067, 779, 2115, 454, 10932, 3506, 538, 707, 1858, 543, 1265, 856, 799, 3283, 2709, 3232, 6044, 1034, 14018, 585, 707, 5067, 779, 4690, 269, 6333, 3506, 602, 1683, 811, 15547, 543, 5924, 12424, 2238, 269, 11752, 3506, 602, 2709, 811, 3946, 6823, 4485, 547, 1565, 267, 1141, 1053, 1205, 547, 1711, 2257, 543, 1514, 2090, 3785, 10353, 547, 1175, 6217, 3610, 2911, 269, 2368, 3506, 946, 5152, 543, 7544, 547, 948, 1053, 4487, 6437, 269, 11524, 8415, 2361, 15143, 543, 1966, 2861, 1565, 269, 6270, 14292, 2994, 616, 1732, 28110, 585, 8695, 945, 616, 3335, 811, 3742, 543, 1491, 811, 4220, 982, 6690, 563, 1103, 341, 9876, 707, 8695, 538, 454, 763, 9628, 5244, 10588, 14747, 5026, 3292, 585, 3214, 607, 1762, 607, 476, 275, 269, 6270, 3292, 786, 1450, 707, 5067, 547, 1163, 601, 930, 1648, 543, 723, 1945, 547, 1413, 4464, 547, 1310, 1153, 269, 1809, 581, 2386, 547, 17063, 707, 1126, 779, 3063, 268, 22793, 2238, 547, 741, 2069, 269, 2913, 707, 1126, 917, 602, 538, 1931, 547, 7119, 538, 1310, 17469, 737, 26147, 5049, 267, 789, 1590, 1101, 2347, 741, 6780, 269, 4746, 267, 2253, 513, 2078, 609, 707, 1126, 779, 3063, 268, 22793, 14357, 269, 5269, 2386, 646, 610, 1352, 568, 5461, 538, 543, 7512, 707, 1126, 779, 4081, 1967, 269, 7053, 267, 1373, 3238, 538, 606, 1310, 17469, 1982, 8952, 707, 1126, 1055, 519, 8265, 267, 1141, 865, 1082, 9628, 5398, 3427, 1053, 723, 2907, 1831, 6408, 563, 2750, 2821, 707, 8695, 454, 1729, 2318, 5256, 1909, 3631, 454, 289, 9081, 4043, 547, 1413, 547, 519, 1034, 2442, 5256, 5515, 789, 917, 547, 3391, 741, 4876, 10092, 267, 2523, 952, 741, 18971, 616, 15534, 538, 741, 2729, 269, 4107, 540, 519, 2367, 8695, 23507, 616, 5026, 5515, 543, 7038, 619, 269, 1809, 972, 616, 824, 2318, 3109, 5256, 1909, 3631, 538, 938, 2146, 269, 5620, 707, 5067, 7747, 5256, 23001, 16146, 543, 7128, 10492, 282, 2367, 945, 4196, 543, 2149, 519, 2146, 269, 3509, 3979, 12677, 2367, 1402, 3634, 3506, 538, 938, 2146, 267, 8066, 7158, 607, 3610, 267, 632, 753, 543, 21246, 1023, 269, 5620, 707, 14930, 1413, 547, 891, 2367, 269, 1403, 596, 723, 513, 2182, 942, 10478, 585, 1909, 3631, 2673, 547, 1753, 267, 3391, 707, 5067, 547, 1265, 873, 538, 3332, 269, 589, 5449, 21388, 2146, 4759, 594, 14437, 547, 267, 945, 1631, 1568, 585, 519, 9628, 17318, 4972, 267, 1767, 281, 968, 7069, 3993, 1131, 6718, 3109, 1686, 2835, 799, 941, 2407, 540, 2984, 540, 1004, 945, 22848, 877, 14488, 2560, 899, 18148, 14465, 928, 12027, 267, 1496, 310, 9950, 11065, 20426, 14878, 12251, 267, 543, 519, 899, 1848, 1261, 10305, 1082, 540, 1010, 18517, 547, 1346, 945, 12913, 865, 1454, 1354, 1864, 269, 6423, 952, 707, 1126, 786, 4324, 689, 12325, 540, 519, 2250, 607, 1134, 269, 11752, 519, 9628, 5398, 7732, 543, 707, 1126, 779, 1153, 5399, 585, 2835, 827, 2318, 3109, 5256, 1909, 3631, 543, 5000, 707, 5067, 547, 2638, 873, 856, 563, 21886, 5971, 707, 5067, 547, 2648, 1153, 543, 1565, 269, 7767, 538, 1010, 2069, 609, 5812, 1489, 543, 15400, 1565, 2994, 7146, 2972, 519, 12587, 547, 2097, 269, 0, 1320, 8557, 689, 2405, 31296, 476, 278, 918, 14684, 302, 593, 966, 830, 334, 563, 763, 11178, 14189, 2306, 10399, 602, 10038, 10307, 269, 634, 11178, 849, 814, 824, 1271, 2360, 2429, 519, 1560, 269, 1323, 936, 5562, 11178, 666, 2333, 519, 1981, 540, 21404, 543, 18655, 269, 589, 2487, 1353, 8947, 2436, 519, 1981, 540, 891, 18655, 849, 4679, 1851, 2550, 609, 1152, 7646, 17244, 540, 519, 11178, 267, 1346, 945, 723, 711, 2919, 1022, 2168, 2589, 607, 513, 1267, 540, 2348, 1932, 1454, 610, 1932, 2370, 11178, 9449, 269, 0, 4467, 14658, 17795, 568, 513, 2165, 1031, 547, 4766, 2789, 18655, 538, 513, 10126, 540, 519, 5642, 2059, 609, 519, 5945, 547, 519, 4478, 8031, 543, 28587, 267, 4749, 3614, 1005, 519, 11105, 4745, 1932, 563, 2005, 666, 581, 519, 1267, 540, 8009, 267, 2887, 689, 4463, 267, 3092, 269, 13216, 17795, 666, 1419, 2014, 4745, 20247, 6327, 610, 519, 2530, 540, 15998, 540, 519, 5762, 3293, 7633, 563, 763, 1762, 17320, 8089, 4079, 630, 341, 1112, 15501, 540, 6174, 10913, 1070, 9845, 630, 716, 8481, 789, 1685, 1522, 581, 1932, 16854, 1070, 2021, 936, 519, 2085, 540, 476, 3393, 630, 16746, 547, 17441, 2242, 972, 616, 1164, 8458, 540, 3384, 21404, 1070, 2025, 2085, 630, 321, 2158, 616, 2907, 4617, 264, 616, 693, 1164, 1981, 540, 3478, 1950, 18655, 563, 4467, 14658, 17795, 666, 2901, 581, 1930, 610, 6806, 17795, 563, 1103, 1930, 17795, 519, 5762, 3293, 7633, 11912, 998, 519, 2960, 5160, 2870, 606, 1930, 10138, 1932, 269, 7046, 18655, 616, 6140, 3361, 676, 4155, 6808, 10913, 267, 3587, 2352, 547, 1521, 543, 3217, 811, 942, 547, 12115, 607, 3379, 547, 6806, 18655, 269, 901, 568, 1317, 1930, 16398, 616, 811, 12155, 547, 5563, 543, 972, 568, 3606, 991, 547, 1683, 10138, 3795, 630, 27415, 6391, 538, 15399, 334, 476, 2004, 260, 2665, 1916, 1103, 6806, 17795, 972, 568, 1100, 2736, 538, 519, 2960, 5160, 8754, 267, 519, 2126, 568, 4443, 855, 267, 1373, 513, 1950, 17795, 835, 814, 547, 10929, 10551, 5650, 547, 11177, 536, 3415, 15364, 563, 4467, 14658, 18655, 616, 711, 865, 2653, 547, 1521, 269, 634, 18874, 1281, 513, 22111, 840, 268, 10869, 4879, 543, 4058, 269, 1306, 829, 519, 10421, 543, 4299, 1858, 18032, 899, 10824, 267, 25336, 267, 22203, 267, 18969, 6148, 2877, 563, 763, 2126, 2882, 10778, 4306, 17803, 476, 272, 10778, 2005, 568, 513, 5650, 538, 799, 519, 4299, 18215, 568, 11689, 1242, 585, 4483, 610, 16646, 676, 1210, 17285, 18032, 563, 2005, 568, 519, 2165, 1031, 585, 10551, 8851, 540, 519, 4666, 5160, 270, 11935, 543, 4914, 1570, 689, 519, 10138, 563, 763, 23262, 1491, 513, 1507, 2179, 540, 2960, 610, 21910, 540, 519, 3461, 779, 1378, 2960, 547, 3382, 519, 13676, 1858, 610, 2101, 16646, 676, 1166, 777, 949, 581, 2877, 563, 2005, 568, 513, 5650, 2944, 547, 11177, 519, 1973, 3761, 540, 519, 13676, 5160, 538, 2013, 540, 4049, 8194, 563, 1103, 17795, 16646, 519, 4299, 15998, 540, 519, 5642, 568, 6378, 2901, 1210, 4835, 4368, 2209, 899, 25336, 267, 10824, 543, 5642, 21910, 338, 610, 5007, 4368, 2209, 899, 20382, 543, 25336, 267, 607, 2838, 563, 763, 7067, 1974, 540, 519, 1950, 17795, 9775, 689, 602, 540, 519, 824, 17795, 607, 711, 1152, 7633, 855, 7404, 2571, 8031, 616, 4299, 849, 563, 9827, 519, 7067, 5673, 593, 519, 2085, 543, 4008, 540, 519, 3461, 563, 3891, 2718, 1522, 581, 5488, 538, 513, 12963, 5642, 267, 1317, 789, 616, 693, 513, 3395, 3942, 1818, 621, 4443, 585, 519, 7633, 543, 2571, 5160, 547, 12115, 269, 24641, 267, 621, 1131, 581, 2352, 547, 12115, 538, 2025, 543, 522, 21163, 648, 6776, 7633, 607, 519, 5642, 568, 2907, 4617, 543, 7067, 568, 14887, 538, 11361, 1813, 547, 2564, 10108, 267, 4057, 6484, 543, 3668, 540, 1978, 1434, 10399, 269, 9747, 267, 513, 1697, 7067, 942, 1058, 581, 2016, 547, 519, 5762, 3293, 1858, 4470, 593, 519, 2085, 543, 4008, 540, 2550, 267, 607, 621, 949, 4268, 689, 476, 277, 4374, 547, 476, 277, 3275, 563, 5629, 519, 7067, 814, 3144, 1747, 4625, 835, 1058, 14553, 1246, 519, 3635, 2126, 1544, 607, 2966, 676, 519, 9647, 31517, 2319, 267, 713, 5123, 568, 1419, 2165, 607, 519, 11222, 5123, 563, 763, 14317, 5123, 2126, 1544, 568, 2966, 607, 829, 519, 4299, 3135, 8754, 267, 9775, 689, 3461, 547, 3461, 269, 634, 1544, 3335, 2874, 540, 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 ]
[ 0, 12988, 1928, 568, 835, 540, 519, 3119, 4128, 585, 4387, 11564, 267, 543, 593, 8317, 267, 602, 1928, 666, 2234, 5573, 547, 824, 2694, 540, 519, 1560, 269, 2233, 1738, 320, 267, 513, 2783, 538, 799, 519, 1414, 1738, 8229, 2833, 2604, 689, 513, 7404, 2497, 267, 666, 2014, 8101, 9636, 538, 519, 2539, 1560, 3148, 269, 1717, 267, 519, 9647, 31517, 5234, 693, 570, 592, 2033, 6481, 4741, 666, 2232, 1414, 1738, 320, 1928, 609, 2126, 3800, 20083, 547, 1142, 3461, 779, 1808, 2564, 2115, 269, 15566, 2542, 547, 1265, 856, 811, 563, 3963, 6496, 2233, 1738, 320, 12769, 584, 888, 12179, 15629, 2497, 602, 24864, 593, 519, 1414, 1738, 8229, 666, 2014, 1414, 1738, 320, 269, 5221, 519, 954, 591, 974, 13887, 25923, 616, 538, 2673, 16133, 547, 519, 1414, 1738, 8229, 267, 1167, 1200, 333, 2747, 568, 513, 1455, 2014, 540, 1414, 1738, 320, 269, 670, 1716, 2747, 267, 799, 4229, 519, 9703, 540, 606, 954, 591, 974, 13887, 1167, 547, 21556, 519, 9018, 9245, 267, 666, 2049, 689, 1022, 1297, 540, 6381, 269, 2806, 4533, 2604, 593, 519, 1167, 666, 3132, 513, 28230, 267, 607, 666, 16625, 5163, 602, 7930, 9714, 525, 519, 2497, 563, 1432, 3657, 519, 20050, 540, 2233, 1738, 320, 888, 2691, 519, 1414, 1738, 8229, 2833, 2604, 267, 519, 4611, 1928, 666, 15186, 1764, 519, 3411, 19907, 779, 2298, 540, 1272, 269, 13689, 593, 519, 1259, 538, 799, 519, 8229, 568, 4299, 267, 930, 1004, 609, 1414, 1738, 320, 949, 5469, 513, 9645, 6175, 538, 1850, 1599, 269, 769, 1978, 2665, 267, 2604, 593, 519, 8229, 666, 1267, 538, 31018, 269, 4033, 24412, 949, 1995, 15246, 1928, 602, 10237, 919, 2429, 519, 1850, 269, 12580, 949, 2063, 585, 4374, 610, 3275, 563, 1692, 2052, 513, 7982, 10266, 16869, 6164, 2233, 1738, 320, 888, 763, 1883, 547, 8156, 1928, 689, 1414, 1738, 320, 568, 547, 917, 1018, 568, 4929, 519, 2783, 269, 1323, 9647, 31517, 4274, 666, 4363, 9196, 2533, 547, 1294, 1018, 568, 10296, 2390, 519, 8229, 543, 875, 1655, 547, 16185, 621, 269, 631, 843, 2665, 540, 1414, 1738, 320, 949, 2154, 1152, 6646, 610, 2168, 3797, 547, 8897, 1928, 543, 2530, 540, 14815, 269, 1879, 513, 1713, 1167, 1200, 333, 2747, 610, 824, 1966, 3123, 5571, 543, 5051, 11213, 2589, 267, 513, 4387, 1522, 18973, 6391, 547, 2953, 519, 5817, 2783, 543, 9004, 8229, 2604, 563, 6701, 596, 7092, 689, 1414, 1738, 320, 286, 1403, 596, 723, 32688, 17915, 610, 31462, 25290, 1928, 538, 707, 2539, 17119, 885, 267, 1289, 570, 592, 2033, 6481, 4741, 693, 630, 27843, 264, 476, 280, 6434, 268, 276, 2918, 274, 547, 3717, 609, 606, 12314, 827, 707, 2783, 269, 634, 5234, 693, 938, 1715, 20252, 2564, 4099, 666, 948, 596, 3313, 519, 1655, 1576, 540, 2962, 547, 2232, 707, 1928, 543, 9636, 269, 0, 1692, 547, 1711, 513, 1382, 1957, 593, 6880, 11648, 454, 24426, 828, 11648, 568, 519, 946, 540, 1585, 3029, 540, 1344, 2029, 547, 3771, 817, 824, 1004, 585, 25796, 4128, 269, 1703, 616, 1082, 824, 2081, 540, 10747, 713, 2165, 602, 616, 3908, 547, 1808, 2477, 610, 2199, 885, 4352, 513, 1455, 3364, 827, 782, 891, 8847, 568, 602, 621, 3096, 2029, 269, 5221, 540, 519, 1259, 1114, 1004, 1174, 713, 1523, 8335, 267, 513, 5856, 949, 6430, 547, 2932, 1382, 547, 1265, 856, 1018, 3123, 713, 3017, 538, 1620, 1063, 1004, 540, 1114, 2477, 269, 901, 949, 948, 679, 13097, 824, 1004, 945, 798, 711, 917, 1454, 827, 713, 1641, 4352, 789, 723, 22734, 519, 18275, 538, 835, 1259, 610, 1776, 563, 17730, 513, 1382, 1957, 593, 6880, 11648, 454, 5629, 596, 723, 4956, 602, 596, 1616, 547, 1413, 693, 713, 2339, 538, 3178, 267, 596, 666, 2141, 2932, 1382, 543, 2097, 909, 609, 513, 8313, 602, 6941, 547, 1114, 9458, 519, 1483, 4605, 540, 713, 7613, 269, 634, 1739, 4061, 616, 930, 540, 519, 1919, 602, 666, 581, 2944, 1282, 519, 5137, 540, 513, 1382, 1957, 593, 6880, 11648, 912, 268, 18430, 513, 1382, 269, 901, 949, 581, 998, 2542, 2835, 267, 6998, 1644, 2959, 267, 3168, 693, 1644, 2665, 602, 723, 5949, 538, 519, 2104, 543, 519, 1259, 789, 941, 17411, 1851, 824, 1919, 563, 268, 4438, 519, 1382, 267, 1491, 4967, 543, 2594, 1022, 3730, 1344, 602, 786, 948, 596, 1282, 519, 735, 4979, 540, 707, 1867, 269, 1411, 949, 849, 3561, 930, 2013, 2090, 602, 596, 2097, 2066, 1282, 707, 1382, 607, 789, 786, 948, 538, 519, 8380, 1927, 540, 707, 2093, 563, 268, 1411, 949, 849, 2328, 1524, 930, 2055, 547, 3391, 596, 585, 3236, 267, 1018, 519, 1523, 568, 267, 1018, 3123, 621, 267, 585, 875, 1279, 814, 621, 1044, 8345, 267, 875, 568, 971, 513, 3510, 17411, 676, 519, 1004, 3238, 543, 865, 593, 563, 268, 1411, 949, 1287, 2328, 519, 1957, 1310, 596, 616, 2944, 609, 15388, 2921, 4063, 540, 519, 2596, 2609, 540, 513, 1382, 1957, 543, 519, 1893, 602, 568, 1031, 538, 519, 1603, 563, 3725, 23428, 540, 1382, 4574, 454, 10932, 4574, 616, 4061, 1360, 1271, 2081, 540, 9306, 3730, 1344, 538, 513, 811, 2143, 1106, 269, 7324, 824, 2956, 540, 891, 3029, 540, 4081, 1603, 1331, 519, 1739, 912, 268, 1358, 666, 581, 1031, 607, 513, 4493, 585, 6268, 676, 12820, 540, 513, 1978, 3919, 454, 268, 1358, 666, 581, 1031, 547, 2491, 513, 1523, 585, 3236, 602, 540, 519, 6880, 11648, 454, 268, 1358, 666, 581, 1031, 547, 1174, 513, 7613, 538, 513, 1732, 1259, 454, 268, 1358, 3006, 1683, 513, 8628, 2594, 540, 2621, 454, 268, 1358, 948, 538, 1966, 6061, 607, 1382, 24084, 839, 519, 1857, 593, 513, 1297, 540, 1919, 6236, 875, 585, 621, 666, 979, 454, 3383, 10416, 513, 1382, 593, 6880, 11648, 666, 581, 24084, 2287, 6236, 519, 1249, 602, 621, 568, 835, 540, 519, 1699, 2152, 782, 936, 519, 1158, 269, 0, 10890, 543, 3106, 9086, 666, 1419, 2408, 3833, 1950, 269, 1703, 616, 7366, 540, 1114, 6042, 602, 3549, 1590, 16783, 609, 543, 972, 616, 5215, 540, 5583, 6054, 689, 1585, 6554, 28007, 4703, 269, 1717, 267, 1256, 609, 782, 713, 1344, 827, 1072, 543, 3106, 693, 960, 267, 972, 568, 835, 2596, 543, 4909, 3364, 602, 782, 12820, 1590, 798, 1107, 1981, 4879, 563, 32391, 4879, 568, 519, 1184, 17929, 1142, 2816, 602, 568, 2944, 693, 960, 568, 5402, 21845, 585, 922, 1377, 540, 1981, 269, 901, 3948, 568, 711, 3833, 2953, 267, 1317, 519, 1876, 3085, 1406, 2965, 2154, 513, 1981, 4879, 585, 782, 6009, 269, 5502, 267, 12820, 1590, 4163, 856, 513, 1981, 4879, 540, 6009, 602, 1459, 513, 1713, 1981, 547, 1072, 543, 3106, 563, 17829, 6009, 602, 1459, 1713, 1981, 1590, 581, 5402, 21845, 547, 2327, 602, 10898, 2404, 609, 519, 2816, 616, 4857, 543, 519, 1981, 689, 1346, 10898, 616, 12290, 269, 4495, 519, 1377, 540, 1981, 568, 1634, 267, 1852, 3800, 666, 581, 2322, 538, 1747, 547, 2569, 519, 1377, 540, 1981, 269, 634, 2539, 519, 1981, 602, 513, 2816, 6799, 267, 519, 1447, 4960, 540, 606, 8009, 9648, 689, 602, 2816, 563, 3383, 267, 1018, 568, 513, 9651, 286, 763, 3044, 4214, 540, 513, 9651, 568, 267, 2048, 31138, 609, 519, 1761, 547, 2014, 2800, 547, 513, 1268, 17483, 2467, 616, 1082, 10898, 1472, 267, 799, 949, 2014, 2800, 547, 513, 1268, 269, 9605, 267, 6464, 267, 7829, 5230, 13907, 267, 1793, 2354, 543, 15143, 543, 6846, 616, 930, 1806, 563, 763, 4214, 540, 1981, 568, 267, 2048, 1492, 10171, 543, 12343, 540, 513, 9651, 1373, 1483, 2213, 17483, 295, 1794, 1841, 1459, 1981, 267, 855, 711, 782, 10898, 1459, 519, 1482, 2179, 540, 1981, 269, 1280, 1383, 267, 1491, 3595, 607, 513, 9651, 269, 1403, 649, 979, 593, 9702, 543, 3251, 538, 513, 2947, 5182, 15678, 602, 568, 7307, 676, 513, 1804, 3486, 5832, 609, 606, 5140, 3106, 2594, 267, 519, 1981, 689, 3595, 630, 1492, 9651, 264, 786, 581, 1360, 1507, 269, 1717, 267, 952, 649, 6430, 547, 1847, 547, 513, 1394, 3613, 22901, 15678, 602, 814, 1100, 3595, 15416, 538, 1747, 267, 609, 5310, 513, 4057, 3106, 2594, 267, 1287, 519, 1981, 689, 3595, 568, 1454, 3152, 563, 28775, 2685, 713, 1383, 14550, 602, 10898, 616, 6378, 855, 1981, 568, 4756, 563, 4322, 616, 1919, 602, 666, 581, 2322, 538, 1747, 547, 2569, 519, 1981, 689, 513, 9651, 269, 8033, 5224, 519, 6249, 540, 3595, 607, 513, 9651, 267, 649, 666, 2569, 519, 1981, 689, 3595, 676, 2348, 3595, 22572, 538, 1747, 267, 676, 2866, 1004, 538, 27549, 543, 676, 3246, 5265, 9738, 3595, 24773, 29913, 543, 824, 3595, 8165, 3937, 563, 288, 4518, 539, 7151, 454, 4131, 779, 1491, 606, 1383, 543, 960, 998, 513, 1981, 4879, 269, 2913, 779, 2015, 7738, 606, 5604, 607, 519, 2816, 269, 634, 1101, 851, 540, 519, 1981, 4879, 1184, 568, 547, 1592, 782, 519, 10898, 2404, 609, 519, 2816, 269, 5457, 267, 10898, 616, 1919, 602, 723, 519, 1761, 547, 2014, 2800, 563, 295, 1794, 1841, 2404, 609, 7738, 606, 5604, 1223, 581, 912, 20228, 2354, 543, 15143, 454, 23086, 609, 7738, 6464, 10048, 783, 7829, 7063, 16978, 3740, 9651, 689, 7738, 3937, 454, 3086, 1287, 267, 649, 723, 547, 960, 856, 519, 1981, 689, 1142, 540, 1346, 10898, 269, 10705, 267, 513, 2241, 1259, 540, 2324, 856, 1981, 568, 676, 3168, 693, 519, 10782, 2009, 8009, 602, 1223, 2049, 689, 602, 9651, 543, 1287, 11008, 1047, 621, 607, 2901, 1970, 267, 5420, 610, 1164, 563, 2690, 1383, 267, 2576, 1793, 6235, 593, 513, 6632, 6989, 568, 12691, 547, 1267, 538, 513, 2101, 5945, 267, 4352, 621, 949, 2014, 5634, 9636, 269, 1809, 606, 3167, 8710, 689, 25768, 3937, 949, 1267, 538, 513, 3170, 1275, 269, 4475, 267, 519, 1981, 689, 513, 17277, 1826, 9651, 1223, 581, 1362, 539, 607, 1970, 267, 1247, 519, 1981, 689, 606, 5122, 9651, 949, 581, 1362, 539, 607, 5420, 610, 1256, 1164, 563, 763, 3803, 851, 540, 519, 1981, 4879, 1184, 568, 547, 1413, 693, 782, 1346, 10898, 602, 1459, 513, 5420, 610, 1164, 1981, 543, 547, 1589, 827, 930, 3606, 1919, 602, 1223, 948, 547, 2569, 519, 1981, 543, 4061, 2569, 519, 4960, 540, 606, 8009, 269, 12344, 513, 1852, 2268, 585, 938, 7738, 1383, 1131, 581, 585, 1022, 5122, 3937, 547, 581, 13761, 676, 513, 11727, 1268, 593, 513, 3670, 10865, 4493, 269, 901, 1131, 2569, 519, 8458, 540, 606, 3167, 8710, 543, 1131, 4061, 2569, 519, 1981, 547, 513, 811, 11807, 1377, 563, 763, 1184, 540, 1981, 4879, 568, 711, 1152, 16601, 538, 2474, 540, 1072, 543, 3106, 1876, 267, 621, 568, 606, 5140, 1259, 540, 7114, 519, 1826, 540, 1981, 602, 6818, 609, 519, 6009, 602, 649, 798, 693, 960, 269, 1635, 2921, 513, 1906, 8090, 547, 2697, 1981, 267, 649, 666, 2061, 1004, 3478, 13676, 610, 7166, 693, 960, 563, 296, 960, 538, 23695, 543, 950, 14656, 519, 6521, 267, 594, 993, 4397, 547, 6445, 609, 1216, 1896, 30520, 454, 263, 7474, 1282, 519, 1554, 1832, 519, 911, 903, 609, 1426, 3905, 1040, 594, 7691, 602, 519, 2698, 540, 519, 1216, 547, 581, 454, 8364, 3072, 666, 3914, 476, 1911, 11899, 267, 543, 607, 513, 4807, 267, 594, 993, 9277, 547, 798, 713, 676, 782, 8885, 267, 2921, 1216, 689, 835, 1993, 519, 29826, 3330, 519, 1930, 10051, 267, 8876, 621, 513, 1906, 7397, 3330, 519, 4558, 543, 1287, 454, 8518, 1782, 621, 268, 26311, 621, 3330, 519, 30520, 269, 1879, 594, 2307, 18825, 3116, 3330, 519, 1930, 10051, 547, 454, 8518, 548, 803, 519, 4904, 17428, 609, 1216, 936, 519, 11489, 630, 514, 1931, 711, 547, 4163, 621, 3330, 519, 4558, 2676, 600, 784, 519, 5561, 1070, 594, 993, 2141, 15189, 269, 634, 4305, 9562, 267, 609, 922, 12475, 1005, 4452, 267, 568, 16207, 454, 17141, 547, 519, 1034, 23387, 538, 519, 2319, 1247, 782, 519, 1964, 18082, 568, 1100, 2462, 4308, 855, 2196, 2476, 454, 3697, 689, 519, 20575, 269, 634, 4452, 267, 5645, 543, 24850, 19952, 267, 538, 1931, 547, 581, 23953, 538, 519, 30520, 454, 263, 7474, 616, 693, 519, 25637, 1377, 267, 609, 711, 2614, 2230, 936, 267, 896, 513, 15808, 267, 547, 1450, 7829, 519, 1216, 454, 27393, 569, 1070, 568, 14124, 585, 1250, 19704, 543, 17094, 956, 267, 1250, 1560, 3085, 1405, 20496, 621, 267, 594, 3112, 782, 1510, 454, 335, 664, 585, 519, 1985, 1554, 610, 1079, 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 ]
[ 7346, 29166, 27432, 16585, 3867, 272, 9706, 4151, 543, 519, 681, 9391, 11148, 547, 1269, 271, 259, 607, 1269, 325, 5332, 29540, 535, 259, 538, 519, 1269, 299, 317, 335, 259, 2343, 780, 1692, 666, 594, 4308, 609, 519, 2013, 1269, 335, 7807, 13727, 259, 2496, 1892, 12344, 594, 6415, 7508, 1945, 267, 855, 12582, 1405, 519, 1269, 299, 17353, 13727, 4151, 2013, 581, 519, 14724, 286, 4595, 1269, 1475, 325, 5332, 1922, 1475, 18155, 13727, 348, 283, 315, 22668, 1422, 574, 18680, 1422, 14153, 263, 347, 325, 5332, 1922, 24689, 28254, 1422, 22668, 264, 815, 476, 271, 10608, 1107, 1109, 4537, 531, 641, 2904, 476, 1691, 1412, 1428, 693, 476, 276, 281, 1704, 692, 763, 2013, 3230, 335, 815, 1422, 13727, 2330, 568, 519, 14724, 2094, 6695, 347, 325, 5332, 1922, 315, 347, 18155, 13727, 348, 2999, 1422, 22668, 2330, 1797, 602, 3230, 347, 325, 5332, 1922, 347, 2330, 568, 1447, 982, 6695, 22668, 2330, 3592, 10876, 267, 543, 4061, 6695, 14153, 315, 15927, 263, 347, 325, 5332, 1922, 24689, 613, 315, 22668, 315, 15927, 264, 815, 476, 271, 2330, 563, 2252, 3230, 272, 315, 548, 533, 2999, 1422, 13727, 18079, 596, 666, 946, 570, 3832, 2421, 3832, 341, 781, 8635, 281, 6695, 14153, 315, 15927, 263, 347, 325, 5332, 1922, 24689, 613, 315, 22668, 315, 15927, 264, 815, 1422, 14153, 315, 15927, 263, 347, 325, 5332, 1922, 347, 317, 335, 315, 613, 315, 22668, 317, 335, 315, 15927, 264, 1422, 548, 1422, 2765, 346, 272, 7346, 22668, 317, 335, 4153, 842, 347, 325, 5332, 1922, 347, 317, 335, 20867, 323, 315, 14153, 815, 1422, 2765, 346, 272, 7346, 22668, 317, 335, 4153, 347, 325, 5332, 1922, 315, 347, 318, 335, 317, 335, 267, 2330, 1141, 519, 2063, 4082, 666, 581, 1500, 11737, 337, 3320, 1507, 676, 2921, 3230, 333, 2330, 18481, 1804, 269, 0, 1892, 4239, 476, 280, 628, 476, 1220, 279, 267, 476, 6860, 281, 2641, 7537, 454, 301, 344, 305, 344, 577, 309, 656, 601, 454, 11693, 602, 1535, 568, 6027, 538, 32494, 543, 1535, 285, 736, 267, 1265, 519, 10545, 1871, 540, 1535, 971, 602, 454, 10674, 2517, 328, 4391, 6745, 514, 2988, 545, 2593, 270, 273, 15120, 338, 275, 338, 277, 3052, 604, 692, 3674, 713, 606, 8635, 2243, 2496, 12552, 256, 2336, 1892, 4239, 476, 280, 628, 476, 1220, 279, 267, 476, 4962, 281, 4962, 7537, 454, 332, 337, 9735, 454, 32621, 1384, 23192, 17397, 676, 27526, 305, 344, 577, 309, 656, 601, 454, 11693, 602, 1535, 568, 6027, 538, 32494, 543, 1535, 285, 736, 267, 1265, 519, 10545, 1871, 540, 1535, 971, 602, 454, 10674, 2517, 328, 4391, 6745, 514, 2988, 545, 2593, 270, 273, 15120, 338, 275, 338, 277, 3052, 604, 692, 3674, 713, 606, 8635, 2243, 2496, 12552, 256, 2439, 14197, 3070, 1384, 7445, 6523, 1422, 3847, 263, 1422, 2765, 12757, 910, 476, 272, 2410, 274, 348, 1422, 2431, 264, 815, 910, 1422, 2765, 3189, 6912, 346, 276, 12453, 275, 10592, 7445, 23976, 1422, 2765, 12757, 910, 476, 272, 2410, 274, 348, 815, 1422, 6523, 13064, 272, 348, 1422, 3847, 263, 910, 1422, 2765, 3189, 6912, 346, 276, 12453, 275, 4153, 2431, 264, 1341, 476, 273, 562, 1422, 7032, 259, 610, 4399, 2765, 12757, 910, 476, 272, 2410, 274, 348, 815, 1422, 7032, 1341, 1422, 6523, 13064, 272, 348, 1422, 3847, 7268, 2765, 3189, 6912, 346, 276, 12453, 275, 4153, 2431, 264, 1341, 476, 273, 562, 1422, 7032, 259, 1141, 562, 568, 606, 8870, 780, 2791, 1616, 519, 10545, 3070, 585, 1535, 602, 568, 3677, 982, 476, 736, 780, 8170, 1576, 267, 952, 596, 723, 1569, 547, 519, 3617, 2029, 596, 1223, 2141, 946, 513, 3113, 547, 1205, 519, 2626, 23099, 2483, 1892, 4239, 476, 280, 628, 476, 1220, 279, 267, 476, 6187, 281, 876, 7537, 454, 301, 344, 305, 344, 577, 309, 656, 601, 454, 32621, 1384, 23192, 17397, 676, 32275, 9735, 454, 14197, 3070, 1384, 7445, 6523, 1422, 3847, 263, 1422, 2765, 12757, 910, 476, 272, 2410, 274, 348, 1422, 2431, 264, 815, 910, 1422, 2765, 3189, 6912, 346, 276, 12453, 275, 10592, 7445, 23976, 1422, 2765, 12757, 910, 476, 272, 2410, 274, 348, 815, 1422, 6523, 13064, 272, 348, 1422, 3847, 263, 910, 1422, 2765, 3189, 6912, 346, 276, 12453, 275, 4153, 2431, 264, 1341, 476, 273, 562, 1422, 7032, 259, 610, 4399, 2765, 12757, 910, 476, 272, 2410, 274, 348, 815, 1422, 7032, 1341, 1422, 6523, 13064, 272, 348, 1422, 3847, 7268, 2765, 3189, 6912, 346, 276, 12453, 275, 4153, 2431, 264, 1341, 476, 273, 562, 1422, 7032, 259, 1141, 562, 568, 606, 8870, 780, 2791, 1616, 519, 10545, 3070, 585, 1535, 602, 568, 3677, 982, 476, 736, 780, 8170, 1576, 267, 952, 596, 723, 1569, 547, 519, 3617, 2029, 596, 1223, 2141, 946, 513, 3113, 547, 1205, 519, 2626, 23099, 13718, 8923, 2953, 803, 952, 594, 6415, 4636, 563, 10674, 2517, 328, 4097, 6745, 514, 2988, 545, 2593, 270, 273, 3534, 275, 332, 1889, 27970, 454, 1892, 4239, 476, 280, 628, 476, 1220, 279, 267, 476, 6734, 281, 1704, 6751, 454, 332, 337, 9735, 454, 32621, 1384, 23192, 17397, 676, 27526, 305, 344, 577, 309, 656, 601, 454, 8923, 2953, 803, 952, 594, 6415, 4636, 563, 10674, 2517, 328, 4097, 6745, 514, 2988, 545, 2593, 270, 273, 3534, 275, 332, 1889, 27970, 692, 28557, 630, 817, 11167, 6111, 547, 476, 272, 8918, 1747, 568, 2838, 264, 0, 258, 8212, 256, 2439, 14006, 539, 676, 16317, 7628, 513, 2235, 639, 2773, 267, 513, 476, 10463, 269, 272, 10275, 326, 1480, 666, 12061, 4252, 568, 8929, 856, 540, 513, 476, 866, 269, 276, 2173, 17489, 666, 12061, 269, 1403, 519, 1480, 666, 12061, 4252, 22939, 476, 271, 269, 280, 2641, 521, 538, 519, 666, 12061, 267, 3313, 519, 3328, 2121, 3196, 25116, 593, 1864, 538, 519, 22902, 540, 519, 666, 12061, 780, 1892, 8212, 8627, 910, 692, 14367, 3328, 3432, 332, 538, 519, 666, 12061, 568, 454, 309, 822, 815, 476, 866, 269, 276, 270, 271, 269, 280, 2641, 815, 476, 2641, 269, 1704, 544, 4882, 692, 763, 14827, 6991, 568, 7466, 602, 267, 610, 454, 309, 325, 1400, 815, 476, 5655, 269, 3374, 544, 4882, 692, 2690, 519, 1035, 743, 3130, 2676, 320, 815, 966, 325, 1400, 270, 271, 269, 280, 2641, 338, 815, 476, 5379, 269, 271, 544, 4882, 317, 273, 692, 763, 3328, 3196, 630, 514, 1007, 27971, 264, 568, 519, 2527, 630, 514, 4846, 264, 2053, 519, 10231, 780, 1012, 5381, 5999, 692, 320, 666, 12061, 609, 513, 2527, 540, 476, 272, 267, 4335, 11899, 17991, 513, 476, 278, 11899, 666, 12061, 4252, 2059, 922, 476, 274, 332, 1279, 22902, 538, 476, 271, 269, 27888, 7643, 513, 264, 20412, 622, 519, 10231, 540, 519, 666, 12061, 4252, 536, 264, 1492, 3196, 9117, 593, 519, 666, 12061, 4252, 524, 264, 519, 5114, 3196, 25116, 593, 519, 666, 12061, 546, 264, 1492, 6693, 273, 269, 12693, 8212, 692, 7628, 513, 2235, 639, 2773, 267, 513, 476, 4037, 10275, 326, 1480, 666, 12061, 4252, 568, 8929, 856, 540, 606, 476, 866, 2173, 17489, 666, 12061, 269, 1403, 519, 1480, 666, 12061, 4252, 22939, 476, 271, 269, 11463, 521, 538, 519, 666, 12061, 267, 3313, 519, 3328, 2121, 3196, 25116, 593, 1864, 538, 519, 22902, 540, 519, 666, 12061, 454, 274, 269, 12693, 8212, 692, 7628, 513, 2235, 639, 2773, 267, 513, 476, 4037, 10275, 326, 1480, 666, 12061, 4252, 568, 8929, 856, 540, 606, 476, 866, 2173, 17489, 666, 12061, 269, 1403, 519, 1480, 666, 12061, 4252, 22939, 476, 271, 269, 11463, 521, 538, 519, 666, 12061, 267, 3313, 519, 3328, 2121, 3196, 25116, 593, 1864, 538, 519, 22902, 540, 519, 666, 12061, 454, 275, 269, 12693, 6323, 692, 7628, 513, 2235, 639, 2773, 267, 513, 476, 6858, 269, 273, 10275, 326, 1480, 666, 12061, 4252, 568, 8929, 856, 540, 513, 476, 1704, 269, 272, 2173, 17489, 666, 12061, 269, 1403, 519, 1480, 666, 12061, 4252, 22939, 476, 271, 269, 6507, 273, 521, 538, 519, 666, 12061, 267, 3313, 519, 3328, 2121, 3196, 25116, 593, 1864, 538, 519, 22902, 540, 519, 666, 12061, 563, 276, 269, 12693, 8212, 692, 3963, 1281, 513, 666, 12061, 4252, 8929, 689, 513, 666, 12061, 609, 513, 1279, 22902, 2951, 5488, 982, 519, 1482, 666, 12061, 4252, 8929, 689, 513, 666, 12061, 609, 513, 10156, 22902, 888, 277, 269, 12693, 6323, 692, 7628, 513, 2235, 639, 2773, 267, 513, 476, 10619, 269, 279, 10275, 326, 1480, 666, 12061, 4252, 568, 8929, 856, 540, 513, 476, 1240, 269, 271, 2173, 17489, 666, 12061, 269, 1403, 519, 1480, 666, 12061, 4252, 22939, 476, 271, 269, 279, 4510, 521, 538, 519, 666, 12061, 267, 3313, 519, 3328, 2121, 3196, 25116, 593, 1864, 538, 519, 22902, 540, 519, 666, 12061, 563, 278, 269, 12693, 6323, 692, 4263, 513, 2235, 639, 267, 513, 1480, 666, 12061, 4252, 568, 8929, 689, 513, 666, 12061, 693, 476, 1428, 332, 4882, 693, 606, 5086, 540, 476, 2412, 5232, 689, 8880, 269, 2701, 3762, 519, 666, 12061, 476, 272, 332, 1055, 519, 2666, 543, 3338, 593, 519, 1259, 1524, 538, 513, 2121, 476, 273, 332, 1055, 519, 2666, 269, 14419, 1200, 8880, 12761, 563, 279, 269, 12693, 8212, 692, 7628, 513, 2235, 639, 2773, 267, 513, 476, 5038, 10275, 326, 1480, 666, 12061, 4252, 568, 8929, 856, 540, 606, 476, 1704, 2173, 17489, 666, 12061, 269, 1403, 519, 1480, 666, 12061, 4252, 22939, 476, 271, 269, 4200, 521, 538, 519, 666, 12061, 267, 3313, 519, 3328, 2121, 3196, 25116, 593, 1864, 538, 519, 22902, 540, 519, 666, 12061, 563, 280, 269, 12693, 8212, 692, 7628, 513, 2235, 639, 2773, 267, 513, 476, 5038, 10275, 326, 1480, 666, 12061, 4252, 568, 8929, 856, 540, 606, 476, 1704, 2173, 17489, 666, 12061, 269, 1403, 519, 1480, 666, 12061, 4252, 22939, 476, 271, 269, 4200, 521, 538, 519, 666, 12061, 267, 3313, 519, 3328, 2121, 3196, 25116, 593, 1864, 538, 519, 22902, 540, 519, 666, 12061, 563, 1015, 269, 12693, 8212, 692, 7628, 513, 2235, 639, 2773, 267, 513, 476, 6507, 10275, 326, 1480, 666, 12061, 4252, 568, 8929, 856, 540, 606, 476, 736, 2173, 17489, 666, 12061, 269, 1403, 519, 1480, 666, 12061, 4252, 22939, 476, 271, 269, 11011, 521, 538, 519, 666, 12061, 267, 3313, 519, 3328, 2121, 3196, 25116, 593, 1864, 538, 519, 22902, 540, 519, 666, 12061, 780, 5415, 5381, 5999, 0, 258, 9046, 5590, 476, 279, 1763, 760, 597, 2218, 1107, 4208, 649, 991, 12920, 18331, 692, 2171, 991, 24562, 1317, 938, 1973, 3112, 4163, 2614, 15702, 744, 273, 547, 1489, 938, 1591, 2534, 269, 2334, 779, 519, 2110, 2626, 269, 2913, 779, 2263, 513, 11050, 2626, 780, 1012, 476, 279, 269, 272, 1215, 1454, 744, 273, 666, 23271, 883, 1973, 2496, 2171, 666, 2203, 1018, 568, 2469, 593, 538, 519, 31276, 10008, 1210, 513, 581, 6033, 4904, 609, 1216, 269, 5262, 4288, 540, 3154, 6675, 689, 519, 2011, 883, 519, 1216, 12462, 4707, 883, 3070, 14615, 610, 519, 9258, 12462, 5765, 856, 540, 3070, 14615, 568, 711, 3274, 513, 1599, 540, 519, 5834, 13506, 540, 519, 3154, 1063, 519, 2011, 543, 519, 1216, 1317, 575, 13293, 723, 1114, 1151, 889, 1988, 538, 3070, 780, 13420, 10329, 630, 15290, 606, 3160, 2179, 540, 3154, 568, 2469, 883, 543, 856, 540, 3070, 264, 568, 24018, 676, 519, 1739, 3830, 692, 2330, 259, 322, 29192, 9507, 346, 302, 318, 273, 348, 815, 554, 29192, 9507, 346, 302, 318, 273, 348, 623, 29192, 9507, 346, 302, 318, 273, 6525, 14204, 1892, 3230, 322, 29192, 9507, 346, 302, 318, 273, 6525, 568, 519, 5834, 540, 744, 273, 538, 519, 1216, 454, 1892, 3230, 303, 29192, 9507, 346, 302, 318, 273, 6525, 568, 519, 9864, 2604, 540, 744, 273, 538, 2011, 630, 810, 513, 2268, 540, 5834, 994, 1892, 3230, 327, 29192, 9507, 346, 302, 318, 273, 6525, 568, 8361, 779, 32610, 11664, 630, 528, 968, 6247, 656, 540, 8167, 1275, 892, 6393, 14722, 538, 1114, 4610, 723, 1114, 2081, 540, 11589, 519, 2078, 1063, 3230, 322, 29192, 9507, 346, 302, 318, 273, 6525, 543, 3230, 303, 29192, 9507, 346, 302, 318, 273, 6525, 865, 596, 949, 2244, 593, 513, 1357, 2985, 610, 513, 1837, 602, 20475, 519, 3586, 538, 1945, 899, 6695, 2765, 346, 272, 2410, 322, 29192, 9507, 346, 302, 318, 273, 24995, 610, 1256, 513, 10155, 1652, 3586, 269, 594, 899, 713, 1259, 585, 17550, 1317, 621, 15450 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2252, 596, 2811, 7487, 713, 5048, 267, 621, 1797, 649, 2811, 2348, 8373, 15205, 5007, 2200, 593, 938, 3896, 780, 2252, 596, 2811, 3297, 513, 1357, 6882, 267, 5225, 1118, 2386, 602, 519, 11890, 2608, 269, 330, 770, 1738, 3820, 543, 2608, 269, 330, 553, 663, 7901, 3820, 616, 796, 4565, 18088, 780, 2162, 6092, 281, 4569, 630, 10064, 17584, 264, 910, 2296, 285, 16215, 476, 1015, 692, 8893, 476, 274, 281, 24234, 8424, 692, 258, 7388, 29232, 1299, 24045, 7285, 692, 9596, 827, 14911, 543, 24045, 7285, 267, 607, 1134, 607, 519, 8847, 540, 11105, 543, 2786, 7285, 269, 23095, 676, 6428, 16679, 780, 1012, 21763, 547, 6443, 519, 6643, 2496, 1892, 6496, 4896, 723, 1022, 554, 2931, 585, 19551, 713, 594, 723, 513, 1449, 593, 11016, 454, 1892, 8347, 713, 912, 4467, 921, 29232, 7285, 1039, 909, 547, 476, 3445, 4113, 454, 268, 1383, 281, 476, 1428, 4113, 1299, 476, 4037, 4113, 616, 14911, 454, 263, 611, 4765, 1927, 267, 789, 1106, 513, 1318, 5086, 994, 7146, 8894, 11045, 11915, 7285, 1039, 909, 547, 476, 5197, 4113, 454, 268, 1383, 281, 476, 2004, 4113, 1299, 476, 9873, 4113, 616, 24045, 454, 263, 611, 4765, 1927, 267, 789, 1106, 513, 2786, 1899, 2020, 10521, 5013, 912, 263, 272, 264, 476, 3445, 4113, 2501, 1354, 476, 5197, 4113, 593, 519, 1297, 1899, 454, 263, 273, 264, 834, 290, 257, 2501, 1354, 834, 306, 257, 538, 519, 9904, 692, 3445, 4113, 4422, 609, 834, 290, 257, 585, 14911, 454, 810, 14911, 7285, 1039, 909, 547, 476, 3445, 4113, 692, 5197, 4113, 4422, 609, 834, 306, 257, 585, 24045, 454, 810, 24045, 7285, 1039, 909, 547, 476, 5197, 4113, 692, 28775, 713, 2337, 2336, 1892, 1684, 14911, 543, 24045, 7285, 723, 547, 581, 11105, 888, 1892, 1358, 1810, 1405, 723, 547, 581, 11105, 855, 952, 789, 616, 789, 1106, 513, 2786, 1899, 593, 519, 5011, 602, 789, 1810, 1405, 2671, 563, 1892, 9502, 540, 5276, 6292, 888, 1892, 5565, 7285, 616, 5276, 952, 789, 616, 11105, 7285, 4646, 676, 1079, 12969, 532, 3515, 269, 589, 2786, 5086, 568, 476, 5197, 5232, 865, 476, 273, 5276, 8424, 540, 7285, 1590, 2141, 1039, 909, 547, 476, 5197, 5232, 780, 28775, 602, 713, 568, 5363, 547, 579, 454, 1892, 1684, 649, 723, 4408, 585, 7285, 602, 1039, 909, 547, 476, 17734, 543, 476, 11740, 5232, 888, 1892, 1703, 616, 4867, 1100, 2012, 585, 476, 273, 7285, 602, 1039, 909, 547, 476, 17734, 5232, 855, 1401, 921, 29232, 27449, 616, 519, 2012, 585, 513, 6292, 540, 7285, 602, 8591, 909, 547, 476, 11740, 5232, 267, 1256, 952, 606, 5086, 568, 811, 982, 476, 5197, 5232, 692, 1892, 666, 596, 2995, 803, 513, 8945, 585, 19551, 647, 921, 618, 800, 543, 5360, 2939, 800, 7285, 563, 1892, 634, 15864, 1259, 547, 3314, 519, 3017, 1063, 24045, 543, 14911, 7285, 568, 547, 946, 519, 4358, 5022, 540, 519, 1913, 2933, 269, 6056, 540, 519, 834, 290, 257, 607, 513, 7944, 267, 799, 19595, 596, 540, 513, 1318, 5086, 267, 799, 568, 476, 3445, 5232, 269, 6056, 540, 519, 834, 306, 257, 607, 2786, 267, 799, 19595, 596, 540, 513, 2786, 5086, 267, 799, 568, 476, 5197, 5232, 780, 28775, 713, 2337, 2433, 994, 1892, 1924, 875, 798, 596, 917, 952, 922, 14911, 454, 1892, 1403, 1079, 7285, 1039, 909, 547, 476, 3445, 5232, 1287, 789, 616, 14911, 267, 952, 789, 1039, 909, 547, 476, 5197, 5232, 789, 789, 616, 24045, 454, 1892, 1924, 267, 14911, 568, 476, 3445, 5232, 269, 1656, 7110, 568, 476, 5197, 5232, 888, 1892, 1879, 7285, 1039, 909, 547, 476, 3445, 5232, 621, 568, 14911, 267, 1482, 4422, 585, 24045, 267, 855, 621, 2115, 547, 3160, 476, 5197, 563, 1892, 1772, 972, 513, 3381, 827, 519, 5086, 8424, 267, 4481, 286, 5221, 594, 1810, 1405, 3314, 7487, 4376, 827, 621, 563, 1892, 594, 1589, 713, 568, 519, 1152, 835, 269, 589, 6292, 568, 513, 1895, 540, 1079, 269, 1924, 513, 6292, 540, 7285, 815, 1079, 7285, 269, 0, 272, 1315, 476, 2190, 692, 258, 31592, 10613, 910, 17948, 623, 8976, 19809, 692, 301, 10179, 673, 10613, 269, 17976, 476, 280, 1107, 22039, 5811, 630, 6748, 674, 10499, 264, 538, 4223, 18350, 3220, 29871, 29928, 3427, 540, 15379, 543, 18329, 7177, 2160, 540, 3502, 1154, 5069, 269, 4653, 779, 11762, 269, 2859, 4223, 18350, 22039, 5811, 1548, 621, 568, 1299, 1946, 649, 798, 621, 6489, 12976, 22039, 5811, 538, 4223, 18350, 780, 296, 993, 519, 8227, 267, 610, 606, 8665, 17101, 547, 957, 593, 15773, 540, 519, 8227, 267, 540, 519, 10677, 539, 960, 4330, 780, 1012, 17948, 6215, 1938, 6011, 827, 1412, 31592, 10613, 262, 910, 1166, 18319, 692, 12606, 8889, 281, 12474, 593, 519, 19534, 568, 3177, 547, 596, 6789, 4959, 585, 707, 1344, 543, 2123, 946, 543, 949, 711, 581, 4421, 1315, 13931, 1315, 3838, 593, 824, 7270, 1510, 3478, 9844, 689, 922, 2278, 269, 4407, 23842, 267, 952, 585, 930, 2601, 596, 616, 711, 2111, 547, 4647, 513, 6881, 267, 519, 17404, 949, 723, 25216, 519, 3758, 689, 741, 7746, 780, 268, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 661, 715, 667, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 20620, 303, 19948, 3690, 5296, 692, 2162, 31592, 10613, 692, 299, 15145, 476, 280, 1107, 22039, 5811, 630, 6748, 674, 10499, 264, 538, 4223, 18350, 692, 7804, 29871, 29928, 692, 18662, 540, 15379, 543, 18329, 7177, 692, 17206, 540, 3502, 1154, 5069, 692, 1892, 2859, 4223, 18350, 692, 1892, 22039, 5811, 692, 1892, 1548, 621, 568, 1299, 1946, 649, 798, 621, 692, 1892, 6489, 12976, 692, 1892, 22039, 5811, 538, 4223, 18350, 692, 1892, 769, 519, 2063, 2978, 649, 1223, 723, 3177, 4729, 2140, 543, 1535, 543, 586, 7852, 10297, 1384, 260, 1410, 1356, 696, 689, 4009, 5951, 7097, 3758, 692, 7120, 6025, 267, 8999, 32007, 27583, 263, 8072, 290, 516, 566, 540, 513, 12384, 23027, 685, 2020, 343, 16932, 263, 8072, 339, 685, 2020, 29786, 263, 8072, 343, 6025, 264, 685, 2020, 1892, 1677, 3489, 606, 6207, 1871, 610, 1950, 9588, 540, 513, 22185, 610, 5119, 1297, 610, 4756, 946, 2612, 692, 1892, 2612, 8987, 273, 264, 273, 692, 1892, 952, 596, 4076, 3989, 1775, 284, 6912, 8987, 272, 264, 1287, 692, 11274, 263, 272, 266, 328, 264, 272, 269, 29300, 273, 692, 1892, 952, 596, 4076, 3989, 1535, 15871, 274, 1287, 692, 11274, 3287, 264, 274, 692, 1892, 4223, 18350, 814, 6266, 540, 5432, 13004, 3252, 1384, 1892, 5609, 267, 5430, 267, 16009, 692, 1892, 2845, 267, 2845, 273, 267, 2845, 1015, 267, 1163, 692, 1892, 2845, 568, 2067, 2845, 630, 328, 4318, 269, 3490, 552, 2020, 1892, 5430, 327, 267, 5609, 327, 267, 16009, 327, 692, 1892, 27353, 692, 1892, 1656, 1447, 5432, 3252, 552, 3052, 18325, 267, 521, 4532, 692, 1892, 2290, 1455, 267, 543, 1939, 14260, 14021, 267, 1505, 649, 946, 568, 22039, 5811, 692, 1892, 634, 1034, 1455, 4305, 568, 7900, 22263, 543, 769, 2091, 22263, 3690, 13257, 692, 1892, 1644, 547, 22263, 10022, 267, 855, 1810, 1406, 991, 5365, 547, 581, 13350, 692, 1892, 1411, 3580, 798, 891, 538, 28686, 14409, 1985, 1032, 267, 865, 1810, 1406, 5855, 827, 519, 3069, 269, 1280, 9623, 1384, 1892, 22263, 17992, 540, 554, 630, 339, 264, 568, 670, 630, 325, 264, 1141, 1384, 1892, 769, 2091, 22263, 17992, 540, 670, 630, 325, 264, 568, 554, 630, 339, 264, 1141, 1384, 14728, 284, 6912, 8987, 272, 264, 6540, 1892, 22263, 5811, 692, 1892, 901, 568, 513, 4480, 799, 3217, 513, 1239, 538, 519, 942, 6389, 543, 2488, 922, 4908, 8552, 692, 1892, 634, 11201, 3217, 721, 1394, 1586, 692, 1892, 1284, 723, 513, 2048, 293, 537, 8175, 17992, 6292, 685, 692, 1892, 769, 4702, 3252, 1419, 6719, 676, 13113, 5036, 540, 15768, 2418, 552, 3052, 269, 535, 6025, 264, 2630, 1223, 581, 6719, 676, 519, 1305, 540, 15768, 2798, 630, 16210, 2073, 25206, 264, 2630, 692, 1892, 4635, 971, 15768, 1239, 513, 15768, 22263, 17992, 630, 5263, 307, 264, 666, 581, 3989, 1384, 1892, 6156, 14260, 14021, 630, 301, 273, 264, 950, 7229, 3551, 569, 692, 1892, 16258, 22263, 17992, 630, 293, 10499, 264, 1939, 525, 667, 10499, 1210, 1360, 3608, 5690, 692, 1892, 3096, 2164, 540, 3105, 1608, 14369, 547, 2569, 1297, 540, 4238, 692, 1892, 666, 1205, 547, 715, 8421, 273, 301, 4238, 267, 865, 585, 715, 284, 9083, 275, 519, 674, 10499, 568, 4114, 269, 476, 1911, 2053, 5488, 982, 2786, 667, 10499, 692, 1892, 1419, 715, 2838, 547, 581, 606, 8870, 1379, 540, 1079, 630, 328, 4318, 269, 476, 273, 267, 275, 267, 279, 267, 1626, 267, 3953, 267, 2507, 2020, 1892, 11109, 5340, 519, 2079, 649, 666, 692, 1892, 14419, 19961, 692, 1892, 17179, 18001, 1344, 692, 1892, 13575, 1404, 1472, 609, 519, 5365, 692, 1892, 898, 666, 581, 2944, 538, 595, 267, 855, 621, 568, 513, 2603, 540, 960, 692, 1892, 2422, 513, 3044, 5399, 610, 513, 10189, 899, 4223, 18350, 692, 1892, 2659, 1985, 2978, 786, 4125, 596, 1210, 4223, 18350, 779, 535, 1111, 1599, 692, 260, 13678, 921, 1383, 540, 674, 10499, 946, 692, 260, 3553, 1154, 909, 519, 5365, 692, 339, 284, 271, 281, 271, 269, 9826, 281, 271, 269, 277, 16963, 343, 284, 7562, 263, 273, 265, 7032, 265, 2412, 265, 339, 11924, 7562, 263, 273, 265, 7032, 265, 1911, 265, 339, 264, 4939, 2412, 21636, 543, 476, 1911, 21636, 20534, 6329, 3773, 692, 260, 8681, 333, 4433, 1125, 6025, 4297, 3947, 606, 5044, 540, 7363, 7856, 4351, 13366, 692, 260, 602, 568, 519, 1482, 2450, 607, 512, 692, 7120, 6025, 263, 272, 281, 2004, 1070, 344, 263, 272, 281, 2004, 4297, 4939, 30831, 1101, 476, 2004, 2798, 1775, 4318, 269, 547, 476, 271, 269, 4962, 521, 692, 27583, 3488, 2412, 21636, 7132, 476, 1911, 21636, 18348, 539, 676, 6846, 17210, 343, 16932, 3488, 5503, 630, 572, 6948, 264, 17210, 335, 1021, 263, 273, 264, 4939, 11445, 1080, 476, 273, 7643, 1354, 11173, 692, 260, 1492, 535, 1111, 543, 3977, 692, 312, 284, 742, 339, 12169, 267, 24423, 5148, 4939, 704, 13257, 519, 535, 1111, 269, 8074, 476, 24423, 2609, 910, 1379, 540, 476, 273, 630, 273, 317, 280, 2020, 13695, 344, 284, 312, 30818, 935, 329, 263, 312, 8358, 24423, 16963, 260, 312, 786, 723, 1950, 2609, 269, 634, 1379, 8552, 568, 1483, 692, 260, 810, 798, 606, 3693, 676, 3693, 8691, 676, 1950, 31669, 692, 325, 284, 1911, 271, 16732, 271, 281, 16348, 8358, 24423, 16963, 7120, 6600, 267, 13695, 344, 263, 272, 281, 27038, 4297, 4939, 933, 616, 1152, 5461, 538, 3368, 519, 1239, 2798, 692, 260, 553, 519, 1482, 1344, 568, 3177, 538, 519, 2034, 3368, 540, 12877, 344, 692, 27583, 3488, 293, 15968, 1543, 540, 18348, 539, 5365, 17210, 343, 16932, 3488, 293, 15968, 630, 13703, 264, 17210, 1892, 1284, 1419, 4019, 513, 2048, 30720, 685, 547, 519, 1239, 780, 1892, 901, 3274, 1797, 2921, 519, 2179, 649, 1616, 689, 519, 1239, 6908, 692, 1892, 26759, 692, 763, 6885, 568, 6410, 2059, 519, 1239, 282, 649, 1685, 519, 674, 10499, 593, 713, 6885, 539, 1239, 692, 1892, 1284, 1349, 519, 1239, 3274, 676, 2542, 1239, 1063, 513, 1376, 543, 9096, 1871, 692, 1892, 538, 1198, 649, 4019, 513, 14328, 6885, 692, 1892, 901, 2705, 3123, 2042, 540, 19944, 340, 885, 267, 607, 3254, 538, 519, 1985, 13472, 692, 4322, 19944, 340, 885, 2014, 6959, 538, 938, 4908, 2079, 269, 1677, 2057, 713, 649, 946, 513, 6885, 602, 2048, 339, 3639, 685, 693, 519, 7475, 692, 1892, 634, 1034, 1455, 3070, 568, 547, 946, 2901, 30567, 610, 30623, 532, 8837, 692, 1892, 3657, 3274, 25482, 30518, 267, 26987, 547, 581, 519, 8700, 540, 519, 6885, 1031, 630, 514, 3732, 2798, 2020, 1892, 1358, 8428, 1152, 538, 519, 3903, 540, 19569, 350, 692, 1892, 30567, 9847, 19569, 350, 815, 476, 271, 269, 276, 30623, 532, 9847, 19569, 350, 815, 476, 271, 269, 7918, 692, 22933, 350, 910, 630, 272, 268, 19569, 350, 3738, 6523, 263, 273, 265, 7032, 265, 328, 14370, 333, 268, 272, 4297, 6902, 476, 271, 283, 328, 283, 333, 692, 271, 6902, 6382, 692, 3495, 25883, 1892, 634, 6882, 14170, 530, 9217, 264, 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 ]
[ 540, 454, 1892, 22391, 476, 736, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 736, 10300, 1206, 593, 1533, 15595, 1206, 10300, 1154, 2829, 2027, 26699, 1533, 454, 1892, 22391, 476, 2641, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 2641, 10300, 1206, 593, 1533, 593, 3403, 10300, 1206, 593, 3403, 11997, 281, 4982, 2526, 1836, 281, 13673, 291, 5508, 11550, 29996, 454, 1892, 22391, 476, 2420, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 2420, 2349, 1678, 2389, 1901, 10300, 1154, 1966, 18452, 281, 307, 1005, 10724, 7726, 281, 9989, 327, 5306, 950, 3323, 609, 513, 10145, 11746, 286, 4856, 22046, 532, 1893, 912, 1892, 22391, 476, 2537, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 2537, 14497, 281, 630, 29734, 2389, 1901, 10300, 1154, 1966, 568, 5667, 565, 15344, 264, 19577, 281, 21079, 630, 15595, 1154, 1966, 264, 547, 630, 29734, 2389, 1901, 1966, 264, 568, 3768, 1815, 22421, 454, 1892, 22391, 476, 2190, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 2190, 5463, 3187, 585, 962, 2464, 12971, 10145, 2389, 1901, 1966, 1232, 3187, 5463, 3187, 15253, 1393, 22159, 962, 2464, 12971, 9717, 519, 5786, 267, 1403, 568, 1232, 22421, 267, 1287, 568, 1232, 22421, 589, 27171, 256, 2094, 568, 3768, 1815, 22421, 16199, 1154, 9046, 5463, 3187, 454, 1892, 22391, 476, 1839, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 1839, 30770, 22159, 1284, 1152, 991, 547, 1628, 519, 5786, 281, 1924, 602, 912, 1892, 22391, 476, 2918, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 2918, 1100, 9811, 3503, 593, 11746, 570, 1901, 568, 10145, 286, 14840, 609, 3403, 20472, 689, 2433, 1403, 10300, 1206, 1287, 26699, 20504, 543, 26699, 454, 1892, 22391, 476, 2767, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 2767, 10300, 1206, 950, 3323, 593, 10145, 11746, 10300, 1206, 593, 3403, 1100, 9811, 3503, 593, 11746, 570, 1901, 568, 10145, 286, 14840, 609, 3403, 20504, 543, 26699, 454, 1892, 22391, 476, 2764, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 2764, 13673, 291, 5508, 11550, 29996, 10300, 1206, 950, 3323, 593, 10145, 11746, 10300, 1206, 593, 3403, 4982, 2526, 1836, 912, 1892, 22391, 476, 3066, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 3066, 1403, 281, 513, 281, 5678, 568, 4389, 547, 536, 281, 5678, 568, 3768, 1815, 22421, 3973, 281, 568, 3768, 1815, 22421, 14497, 630, 11437, 476, 273, 2567, 19577, 281, 4635, 519, 1232, 3187, 585, 1628, 519, 1232, 3187, 585, 14597, 568, 1232, 22421, 2552, 2784, 2109, 256, 3973, 568, 1232, 22421, 454, 1892, 22391, 476, 1789, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 1789, 14597, 568, 1232, 22421, 5463, 3187, 585, 3398, 7947, 630, 327, 5306, 994, 1892, 22391, 476, 4029, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 4029, 14597, 568, 1232, 22421, 5463, 3187, 585, 3398, 7947, 630, 327, 5306, 264, 3973, 568, 1232, 22421, 630, 933, 723, 8810, 713, 538, 3105, 1362, 264, 7947, 3398, 630, 327, 5306, 264, 5463, 3187, 585, 12971, 962, 2464, 12971, 454, 1892, 22391, 476, 3953, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 3953, 5463, 3187, 585, 5463, 3187, 585, 12337, 3398, 7947, 3398, 7947, 630, 327, 5306, 264, 18452, 5569, 22159, 1403, 568, 1232, 22421, 1287, 649, 666, 1628, 281, 12164, 15045, 4696, 8453, 256, 962, 2464, 12971, 454, 1892, 22391, 476, 3451, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 3451, 5463, 3187, 585, 5463, 3187, 585, 12337, 3398, 7947, 3398, 7947, 630, 327, 5306, 264, 18452, 5569, 22159, 13673, 291, 5508, 11550, 29996, 12164, 15045, 4696, 8453, 256, 17968, 281, 12971, 962, 2464, 12971, 454, 1892, 22391, 476, 4097, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 4097, 9866, 3569, 281, 769, 1931, 547, 6961, 602, 930, 1893, 568, 3768, 1815, 22421, 649, 1152, 991, 547, 2569, 930, 1634, 3768, 1815, 22421, 1893, 547, 610, 547, 630, 1492, 648, 332, 4528, 476, 272, 264, 630, 1492, 648, 332, 4528, 476, 273, 994, 1892, 22391, 476, 3374, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 3374, 25613, 1815, 22421, 10819, 585, 570, 1005, 13876, 14184, 4654, 568, 8900, 286, 568, 2834, 286, 814, 2450, 476, 273, 286, 2913, 581, 513, 570, 1005, 14092, 1061, 762, 1893, 2353, 891, 616, 3768, 1815, 22421, 2042, 454, 1892, 22391, 476, 3607, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 3607, 568, 8900, 286, 568, 2834, 286, 814, 2450, 476, 273, 286, 2913, 581, 513, 570, 1005, 14092, 1061, 762, 1893, 454, 1892, 22391, 476, 4391, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 4391, 2506, 27679, 1893, 1966, 18452, 281, 570, 1005, 10724, 7726, 281, 296, 9895, 27679, 286, 4856, 22046, 532, 1893, 912, 1892, 22391, 476, 4343, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 4343, 14497, 281, 630, 24105, 25082, 1966, 568, 5667, 565, 15344, 264, 568, 3768, 1815, 22421, 19577, 281, 21079, 630, 332, 20047, 1222, 1966, 264, 547, 630, 24105, 1893, 1966, 994, 1892, 22391, 476, 4375, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 4375, 5463, 3187, 585, 962, 2464, 12971, 8900, 1966, 1232, 3187, 5463, 3187, 15253, 1393, 22159, 962, 2464, 12971, 9717, 519, 5786, 267, 952, 568, 1232, 22421, 267, 1287, 568, 1232, 22421, 15376, 1966, 1232, 3187, 589, 27171, 256, 2094, 568, 3768, 1815, 22421, 454, 1892, 22391, 476, 2412, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 2412, 30770, 22159, 1284, 1152, 991, 547, 1628, 519, 5786, 281, 1924, 602, 912, 1892, 22391, 476, 6078, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 6078, 3503, 593, 11746, 267, 543, 3244, 3634, 593, 3403, 570, 1901, 540, 3403, 5569, 24693, 7790, 20472, 689, 2433, 9811, 570, 1005, 10724, 20504, 9811, 454, 1892, 22391, 476, 5655, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 5655, 634, 1152, 2009, 7608, 5569, 17039, 4515, 269, 645, 20415, 910, 700, 24746, 5655, 30267, 269, 645, 20415, 910, 700, 24746, 5655, 3503, 593, 11746, 267, 543, 3244, 3634, 593, 3403, 24693, 7790, 9811, 570, 1005, 10724, 20504, 9811, 454, 1892, 22391, 476, 6246, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 6246, 24693, 1281, 711, 3398, 4515, 269, 645, 20415, 910, 700, 24746, 6246, 30267, 269, 645, 20415, 910, 700, 24746, 6246, 30267, 269, 645, 20415, 910, 700, 24746, 6246, 3503, 593, 11746, 267, 543, 3244, 3634, 593, 3403, 24693, 7790, 9811, 570, 1005, 10724, 20504, 9811, 454, 1892, 22391, 476, 4510, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 4510, 4475, 281, 24693, 4982, 2526, 1836, 281, 13673, 291, 5508, 11550, 29996, 454, 1892, 22391, 476, 3393, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 3393, 568, 8900, 286, 568, 2834, 286, 814, 2450, 476, 273, 286, 2913, 581, 513, 570, 1005, 14092, 1061, 762, 1893, 454, 1892, 22391, 476, 5379, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 5379, 8617, 1893, 1966, 18452, 281, 570, 1005, 10724, 7726, 281, 3674, 320, 2834, 1893, 286, 4856, 22046, 532, 1893, 912, 1892, 22391, 476, 5325, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 5325, 14497, 281, 630, 10585, 1893, 1966, 568, 5667, 565, 15344, 264, 568, 3768, 1815, 22421, 19577, 281, 21079, 630, 332, 20047, 1222, 1966, 264, 547, 630, 10585, 1893, 1966, 994, 1892, 22391, 476, 4366, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 4366, 5463, 3187, 585, 962, 2464, 12971, 2834, 1966, 1232, 3187, 5463, 3187, 15253, 1393, 22159, 962, 2464, 12971, 9717, 519, 5786, 267, 1403, 568, 1232, 22421, 267, 1287, 568, 1232, 22421, 15376, 1966, 1232, 3187, 589, 27171, 256, 2094, 568, 3768, 1815, 22421, 454, 1892, 22391, 476, 5392, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 5392, 30770, 22159, 1284, 1152, 991, 547, 1628, 519, 5786, 281, 1924, 602, 912, 1892, 22391, 476, 2004, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 2004, 570, 1901, 540, 3403, 5569, 20472, 689, 2433, 4515, 269, 645, 20415, 910, 700, 24746, 2004, 30267, 269, 645, 20415, 910, 700, 24746, 2004, 30267, 269, 645, 20415, 910, 700, 24746, 2004, 30267, 269, 645, 20415, 910, 700, 24746, 2004, 3503, 593, 11746, 267, 543, 3244, 3634, 593, 3403, 20504, 24693, 7790, 9811, 570, 1005, 10724, 454, 1892, 22391, 476, 7906, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 7906, 24693, 1281, 711, 3398, 711, 2834, 2834, 4515, 269, 645, 20415, 910, 700, 24746, 7906, 30267, 269, 645, 20415, 910, 700, 24746, 7906, 30267, 269, 645, 20415, 910, 700, 24746, 7906, 30267, 269, 645, 20415, 910, 700, 24746, 7906, 30267, 269, 645, 20415, 910, 700, 24746, 7906, 3503, 593, 11746, 267, 543, 3244, 3634, 593, 3403, 20504, 24693, 7790, 9811, 570, 1005, 10724, 454, 1892, 22391, 476, 7367, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 7367, 4475, 281, 24693, 4982, 2526, 1836, 281, 13673, 291, 5508, 11550, 29996, 568, 711, 2834, 454, 1892, 22391, 476, 7871, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 7871, 568, 8900, 286, 568, 2834, 286, 814, 2450, 476, 273, 286, 2913, 581, 513, 570, 1005, 14092, 1061, 762, 1893, 454, 1892, 22391, 476, 7918, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 7918, 6496, 723, 2450, 476, 273, 630, 18314, 12673, 21663, 12025, 273, 1893, 1966, 18452, 281, 570, 1005, 10724, 7726, 281, 4856, 22046, 532, 1893, 912, 1892, 22391, 476, 4649, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 4649, 14497, 281, 630, 21653, 273, 1893, 1966, 568, 5667, 565, 15344, 264, 568, 3768, 1815, 22421, 19577, 281, 21079, 630, 332, 20047, 1222, 1966, 264, 547, 630, 21653, 476, 273, 1893, 1966, 994, 1892, 22391, 476, 6321, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 6321, 5463, 3187, 585, 962, 2464, 12971, 2450, 273, 1966, 1232, 3187, 5463, 3187, 15253, 1393, 22159, 962, 2464, 12971, 9717, 519, 5786, 267, 1403, 568, 1232, 22421, 267, 1287, 568, 1232, 22421, 15376, 1966, 1232, 3187, 589, 27171, 256, 2094, 568, 3768, 1815, 22421, 454, 1892, 22391, 692, 27775, 2105, 0, 258, 5450, 600, 987, 19577, 25817, 692, 1012, 14497, 4630, 592, 573, 273, 692, 20373, 281, 1323, 11346, 11224, 922, 22185, 1587, 609, 835, 269, 630, 6944, 30744, 676, 28679, 267, 476, 1321, 5025, 1872, 268, 1220, 277, 264, 630, 6124, 6165, 568, 27209, 24355, 8269, 20309, 454, 10112, 1068, 542, 4630, 592, 573, 273, 630, 15855, 485, 2433, 21508, 489, 2340, 509, 370, 21508, 489, 9890, 630, 476, 272, 5788, 641, 15855, 485, 3738, 815, 15855, 485, 25589, 2162, 19577, 692, 3721, 14523, 4676, 20309, 454, 272, 4949, 268, 272, 322, 333, 476, 272, 17995, 21508, 480, 454, 273, 4630, 1998, 630, 630, 476, 272, 17995, 21508, 480, 31961, 15855, 485, 2433, 21508, 489, 2340, 509, 370, 21508, 489, 31961, 15855, 354, 17995, 21508, 489, 3738, 9890, 630, 630, 476, 272, 5788, 641, 15855, 485, 3738, 2048, 15855, 354, 3738, 815, 630, 476, 272, 5788, 630, 15855, 485, 31915, 3738, 3738, 12467, 274, 476, 272, 476, 273, 544, 335, 274, 534, 272, 630, 630, 15855, 485, 2433, 21508, 489, 2340, 509, 370, 21508, 489, 31961, 15855, 354, 17995, 21508, 489, 3738, 9890, 630, 630, 476, 272, 5788, 641, 15855, 485, 3738, 2048, 15855, 354, 3738, 815, 630, 476, 272, 5788, 630, 15855, 485, 31915, 3738, 3738, 12467, 275, 535, 325, 767, 337, 333, 630, 630, 15855, 485, 2433, 21508, 489, 2340, 509, 370, 21508, 489, 31961, 15855, 354, 17995, 21508, 489, 3738, 9890, 630, 15855, 485, 31915, 3738, 17995, 21508, 489, 12467, 276, 4949, 3620, 341, 332, 592, 573, 630, 630, 15855, 485, 31915, 3738, 17995, 21508, 489, 9890, 630, 476, 272, 5788, 630, 15855, 485, 31915, 3738, 3738, 815, 630, 15855, 485, 31915, 3738, 12467, 277, 476, 275, 476, 276, 861, 331, 630, 630, 15855, 485, 2433, 21508, 489, 2340, 509, 370, 21508, 489, 31961, 15855, 354, 17995, 21508, 489, 3738, 9890, 630, 476, 272, 5788, 630, 15855, 485, 31915, 3738, 3738, 815, 630, 15855, 485, 31915, 3738, 12467, 278, 476, 274, 476, 277, 552, 336, 339, 6113, 630, 630, 15855, 485, 2433, 21508, 489, 2340, 509, 370, 21508, 489, 31961, 15855, 354, 17995, 21508, 489, 3738, 9890, 630, 630, 476, 272, 5788, 641, 15855, 485, 3738, 2048, 15855, 354, 3738, 815, 630, 15855, 485, 31915, 3738, 12467, 279, 476, 278, 678, 531, 3234, 10216, 630, 15855, 485, 2433, 21508, 489, 2340, 509, 370, 21508, 489, 9890, 3980, 478 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2569, 7577, 28521, 543, 30825, 563, 307, 516, 655, 777, 15873, 1107, 3883, 32697, 1107, 769, 713, 3381, 649, 946, 606, 9185, 476, 1001, 277, 10326, 24961, 610, 631, 6242, 545, 5750, 547, 17412, 21712, 21869, 648, 6455, 1239, 563, 26422, 10767, 560, 1109, 2419, 691, 1107, 3883, 32697, 1107, 769, 713, 3381, 649, 946, 606, 9185, 476, 1001, 277, 6129, 10767, 560, 5750, 547, 17412, 21712, 21869, 648, 6455, 1239, 563, 26422, 10767, 560, 1109, 2419, 691, 1107, 13600, 569, 16505, 6658, 1109, 1700, 769, 713, 3381, 649, 946, 606, 9185, 476, 1001, 277, 6129, 10767, 560, 5750, 547, 17412, 10116, 569, 543, 10865, 6455, 1239, 563, 307, 516, 655, 777, 1109, 2419, 691, 910, 27916, 4768, 656, 1107, 769, 713, 3381, 649, 946, 519, 590, 9331, 9281, 306, 3252, 547, 5965, 13962, 6455, 1239, 543, 1287, 17412, 519, 6455, 1239, 609, 513, 10326, 24961, 5750, 563, 29222, 6773, 15873, 1107, 769, 713, 3381, 649, 1397, 875, 547, 1711, 513, 1187, 6773, 5750, 799, 2982, 519, 3094, 852, 532, 540, 513, 7535, 540, 1810, 619, 689, 16548, 547, 19915, 1810, 619, 454, 30791, 22953, 3487, 2290, 1109, 1700, 769, 713, 3381, 649, 1397, 875, 547, 1265, 519, 1899, 1655, 17501, 513, 1305, 540, 536, 21725, 1239, 563, 30791, 22953, 3487, 5565, 1107, 769, 713, 3381, 649, 1397, 875, 519, 19954, 304, 267, 20793, 8008, 292, 267, 29206, 4753, 8976, 267, 543, 5254, 292, 312, 311, 3252, 666, 581, 1031, 547, 5659, 513, 5276, 9695, 563, 22091, 11228, 12618, 1109, 1700, 769, 713, 3381, 649, 1397, 875, 12825, 2208, 666, 581, 1031, 547, 3514, 536, 21725, 1239, 1141, 519, 3113, 4991, 588, 2465, 704, 563, 20175, 543, 24637, 4354, 1407, 1109, 1700, 769, 713, 3381, 649, 1397, 875, 547, 3514, 513, 3586, 22786, 610, 1379, 3747, 7455, 563, 21691, 8662, 24637, 1109, 10501, 1407, 1109, 1700, 769, 713, 3381, 649, 1397, 875, 547, 3514, 513, 13392, 3747, 7455, 1759, 593, 476, 274, 1239, 2798, 563, 13981, 1109, 10501, 1407, 1109, 1700, 769, 713, 3381, 649, 1397, 875, 547, 7447, 513, 4804, 7455, 799, 2982, 875, 519, 1770, 1942, 540, 6721, 513, 1587, 12772, 607, 811, 540, 519, 1587, 814, 1044, 3812, 563, 17357, 21975, 1109, 1700, 769, 713, 3381, 649, 1397, 875, 519, 1523, 540, 9756, 666, 2268, 519, 4222, 540, 519, 5276, 7681, 1063, 10865, 7024, 593, 3670, 13632, 563, 15307, 26305, 519, 29530, 540, 513, 14351, 1109, 1700, 769, 713, 3381, 649, 1397, 875, 519, 20793, 8008, 292, 1599, 666, 581, 1031, 547, 3533, 7447, 519, 5975, 553, 540, 1082, 13632, 563, 8802, 1833, 547, 519, 6399, 1109, 1700, 769, 713, 3381, 649, 1397, 875, 519, 2856, 540, 22953, 547, 519, 6399, 6941, 1946, 715, 14566, 6887, 602, 798, 1134, 538, 835, 4005, 2356, 798, 711, 798, 607, 1134, 519, 1985, 4005, 563, 300, 8221, 19105, 1109, 1700, 769, 713, 3381, 649, 1397, 875, 547, 17412, 10116, 569, 8835, 2593, 19614, 609, 513, 25021, 19105, 15873, 543, 5347, 856, 519, 7678, 543, 9004, 4005, 1275, 563, 23804, 513, 6153, 681, 8293, 1563, 1109, 1700, 769, 713, 3381, 649, 1397, 602, 606, 681, 8293, 1563, 1871, 540, 476, 271, 269, 4200, 568, 711, 8209, 602, 1434, 563, 23804, 519, 7454, 4354, 557, 547, 28546, 4578, 1109, 1700, 769, 713, 3381, 649, 1397, 875, 547, 3313, 799, 540, 519, 5276, 267, 12825, 267, 543, 1379, 7455, 1655, 3514, 513, 1979, 8686, 926, 622, 2078, 563, 21296, 22953, 3487, 2290, 1109, 1700, 769, 713, 3381, 649, 1397, 875, 2789, 9695, 568, 1031, 547, 3589, 2780, 6455, 829, 32728, 7534, 1759, 593, 2069, 543, 4747, 563, 21296, 22953, 3487, 5565, 1109, 1700, 769, 713, 3381, 649, 3136, 689, 519, 3105, 1383, 563, 291, 16244, 25159, 1109, 1700, 769, 713, 3381, 649, 1397, 875, 547, 6451, 12007, 4632, 971, 607, 4005, 1275, 547, 3589, 10081, 6455, 563, 7072, 547, 1230, 329, 2002, 5811, 1109, 1700, 769, 713, 3381, 649, 1397, 875, 8580, 2002, 2079, 666, 3313, 1018, 1587, 10305, 616, 12595, 676, 5561, 563, 3519, 329, 2002, 5811, 543, 22953, 1109, 1700, 769, 713, 3381, 649, 1397, 875, 606, 4890, 9695, 568, 1031, 547, 9414, 8580, 2002, 2079, 563, 19368, 9122, 623, 878, 532, 1109, 1700, 1103, 713, 3381, 649, 1397, 875, 8580, 2002, 2079, 568, 1031, 547, 7447, 519, 1871, 540, 1587, 10305, 563, 15239, 15035, 885, 543, 29568, 1109, 1700, 1109, 1103, 713, 3381, 649, 1397, 875, 547, 1331, 22357, 885, 543, 4205, 538, 513, 2789, 9695, 2079, 563, 1432, 24439, 715, 10621, 30581, 12736, 1107, 769, 713, 3381, 649, 946, 2789, 5276, 9695, 547, 1397, 1018, 2306, 715, 10621, 6887, 3094, 563, 304, 289, 28951, 1107, 769, 713, 3381, 649, 1397, 875, 547, 946, 2789, 9695, 547, 5702, 16977, 519, 715, 14566, 779, 1627, 289, 28951, 4542, 563, 16655, 3065, 700, 1731, 9685, 6480, 11582, 1107, 1109, 1103, 713, 3381, 649, 1397, 875, 26228, 700, 1731, 9685, 6480, 11582, 568, 1031, 547, 7447, 8579, 6724, 563, 19868, 2065, 22953, 1109, 1700, 1109, 1103, 713, 3381, 649, 1397, 26848, 9695, 666, 581, 1031, 547, 3589, 8200, 4632, 602, 666, 8263, 1079, 4093, 630, 7945, 607, 14970, 610, 12603, 1310, 606, 5106, 8094, 25991, 19868, 2065, 1109, 8802, 1833, 585, 6828, 539, 4578, 1107, 1109, 1103, 713, 3381, 649, 2491, 875, 547, 798, 1109, 8421, 2065, 1109, 2958, 1833, 609, 19882, 1239, 454, 763, 6489, 577, 650, 12039, 1109, 1700, 1109, 1103, 713, 3381, 649, 946, 2789, 9695, 609, 22357, 885, 543, 4205, 547, 9258, 11653, 519, 1950, 6489, 577, 650, 12039, 4542, 563, 303, 9438, 532, 29879, 31245, 1107, 769, 713, 3381, 649, 1397, 875, 547, 946, 2789, 9695, 547, 3589, 5777, 540, 645, 867, 324, 14513, 9174, 1759, 593, 2837, 543, 11811, 563, 3080, 10158, 30654, 1107, 769, 713, 3381, 649, 1397, 875, 547, 1685, 513, 2290, 8862, 599, 30654, 563, 305, 24655, 1242, 2349, 4169, 1107, 769, 713, 3381, 649, 1397, 875, 547, 1685, 513, 5565, 8862, 599, 30654, 609, 1100, 18643, 563, 10521, 10158, 30654, 9453, 19983, 1107, 769, 713, 3381, 649, 1397, 875, 547, 5659, 513, 5565, 8862, 599, 30654, 609, 1100, 5872, 563, 10521, 10158, 30654, 2060, 19983, 1107, 769, 713, 3381, 649, 1397, 875, 547, 5659, 513, 5565, 8862, 599, 30654, 609, 5872, 563, 3198, 23701, 2060, 2859, 20537, 5565, 11790, 1107, 769, 713, 3381, 649, 1397, 875, 547, 3313, 875, 476, 274, 610, 811, 2188, 666, 581, 1305, 547, 11126, 513, 8200, 4756, 563, 307, 16781, 543, 17897, 1275, 1109, 1700, 769, 1109, 10472, 3381, 649, 1397, 875, 547, 7447, 519, 7678, 543, 12119, 17523, 585, 10865, 2475, 29617, 5195, 563, 305, 26559, 547, 25021, 19105, 3487, 2290, 1109, 1700, 769, 713, 3381, 649, 1397, 875, 519, 22472, 547, 25021, 19105, 6396, 568, 1031, 547, 9472, 942, 3126, 538, 519, 4527, 540, 7066, 526, 543, 17897, 1275, 563, 305, 26559, 547, 25021, 19105, 3487, 5565, 1107, 1109, 1103, 713, 3381, 649, 9959, 938, 4901, 540, 519, 22472, 547, 25021, 19105, 6396, 563, 310, 5793, 779, 6396, 540, 5983, 26511, 4985, 1107, 769, 713, 3381, 649, 1397, 875, 15604, 779, 12825, 5347, 532, 1505, 666, 581, 1031, 547, 9472, 538, 519, 4527, 540, 7066, 526, 543, 4005, 1275, 563, 310, 5793, 779, 6396, 1107, 12307, 1109, 1700, 901, 3381, 568, 513, 27402, 540, 519, 15604, 779, 6396, 540, 20925, 563, 310, 5793, 779, 6396, 1107, 19461, 1436, 1107, 901, 3381, 568, 513, 27402, 540, 519, 15604, 779, 6396, 540, 20925, 563, 310, 5793, 779, 6396, 1107, 23840, 1107, 901, 3381, 568, 519, 6388, 543, 3932, 540, 519, 15604, 779, 6396, 540, 20925, 563, 290, 13072, 5742, 5983, 26511, 3487, 2290, 1107, 769, 1109, 10472, 3381, 649, 1397, 875, 547, 6451, 4005, 1275, 543, 2027, 2188, 538, 513, 9472, 540, 513, 4871, 779, 3232, 6075, 1293, 563, 290, 13072, 5742, 5983, 26511, 3487, 5565, 1109, 1700, 769, 713, 3381, 649, 9096, 938, 4901, 540, 20925, 3232, 6075, 1293, 693, 513, 4871, 563, 303, 9438, 532, 12229, 19833, 1109, 1700, 769, 713, 3381, 649, 1397, 875, 547, 946, 519, 9185, 3752, 591, 547, 3313, 875, 4005, 1275, 267, 7193, 6455, 267, 543, 10131, 7389, 1860, 3301, 6455, 563, 8794, 634, 645, 8175, 24143, 1677, 21414, 5983, 322, 7539, 1109, 1700, 769, 713, 3381, 552, 1397, 875, 519, 645, 8175, 6060, 666, 581, 1031, 547, 6218, 2062, 322, 7539, 602, 3589, 9352, 4093, 630, 1778, 610, 1100, 4764, 267, 1753, 2319, 17993, 715, 14566, 3014, 267, 3092, 8094, 20288, 26511, 15443, 344, 4446, 19833, 1109, 1700, 769, 713, 3381, 649, 1397, 875, 547, 946, 519, 3752, 591, 547, 3313, 875, 938, 3902, 267, 519, 2841, 3218, 779, 3902, 267, 543, 2436, 519, 1587, 568, 593, 4159, 7506, 17711, 3046, 6455, 563, 7072, 547, 22757, 30408, 29896, 1107, 769, 713, 3381, 649, 6338, 22757, 30408, 29896, 269, 22757, 30408, 666, 2203, 519, 5506, 3892, 540, 4093, 538, 519, 4527, 540, 10462, 563, 763, 681, 13263, 543, 681, 13263, 289, 4953, 25446, 2894, 12793, 1107, 1109, 1103, 713, 3381, 649, 9414, 519, 681, 13263, 543, 681, 13263, 289, 4953, 25446, 2894, 3252, 799, 616, 519, 1883, 547, 9185, 13502, 563, 8245, 6819, 513, 2598, 4740, 15932, 24438, 1109, 1700, 769, 713, 3381, 649, 1397, 875, 547, 18082, 513, 15768, 4351, 4756, 563, 8245, 6819, 513, 16453, 1109, 305, 24655, 24438, 1109, 1700, 769, 713, 3381, 649, 1397, 875, 547, 18082, 513, 3339, 4351, 4756, 563, 8245, 6819, 513, 28473, 769, 940, 1109, 1700, 769, 713, 3381, 649, 18082, 519, 1297, 540, 8255, 513, 13836, 2319, 8464, 538, 606, 538, 940, 563, 763, 17510, 1485, 9046, 1109, 1700, 769, 713, 3381, 649, 946, 11191, 547, 7447, 519, 5506, 602, 952, 562, 1004, 616, 538, 519, 4055, 693, 2547, 1079, 1004, 723, 519, 1482, 14512, 563, 290, 571, 1186, 1109, 1700, 769, 713, 3381, 649, 1397, 875, 547, 3313, 519, 5506, 540, 10888, 693, 6159, 1186, 563, 763, 1715, 4944, 3205, 9046, 1109, 1700, 769, 713, 3381, 649, 1397, 875, 547, 3313, 606, 1931, 610, 2504, 7274, 602, 12366, 3278, 4397, 7443, 538, 519, 4527, 540, 7334, 3747, 563, 289, 27570, 1109, 1700, 769, 713, 3381, 649, 1397, 875, 547, 3313, 513, 19915, 602, 12366, 3278, 4397, 7443, 2016, 519, 10462, 827, 2841, 3218, 779, 536, 27570, 2623, 563, 303, 20269, 1109, 1700, 769, 713, 3381, 649, 1397, 875, 547, 968, 9526, 892, 513, 2947, 3556, 533, 20269, 1688, 543, 5173, 519, 4960, 540, 3478, 1079, 6292, 563, 8245, 6819, 519, 715, 10621, 5685, 1023, 1107, 769, 713, 3381, 649, 1397, 875, 11191, 666, 581, 1031, 547, 7447, 519, 4960, 540, 1142, 2319, 10888, 519, 715, 10621, 1710, 1023, 563, 294, 3711, 2401, 779, 22859, 514, 1109, 1700, 769, 713, 3381, 649, 2626, 519, 2243, 267, 968, 2252, 594, 723, 8096, 273, 543, 1404, 606, 15490, 3014, 267, 1018, 568, 519, 4960, 594, 1205, 547, 8096, 277, 1354, 2469, 22625, 18313, 1805, 1442, 9046, 1107, 769, 713, 3381, 649, 2626, 519, 2243, 267, 968, 2252, 513, 6006, 568, 8449, 2693, 547, 2132, 476, 2568, 260, 610, 910, 2412, 260, 1142, 1032, 267, 568, 621, 513, 1434, 6006, 9495, 1411, 1522, 581, 14281, 2336, 310, 15619, 6790, 752, 1109, 1700, 769, 713, 3381, 649, 1397, 875, 547, 3313, 519, 3328, 3259, 540, 519, 13074, 10888, 1792, 752, 585, 513, 2319, 602, 17993, 476, 3583, 260, 540, 741, 3756, 563, 31088, 7167, 3809, 1107, 769, 713, 3381, 649, 1397, 875, 547, 3313, 519, 1184, 12588, 540, 513, 1184, 563, 306, 1460, 590, 7950, 1107, 769, 713, 3381, 649, 1397, 875, 16359, 7637, 5462, 602, 513, 1184, 1058, 723, 16551, 581, 3670, 29178, 689, 519, 1184, 1611, 563, 303, 16644, 11301, 543, 4347, 624, 633, 19590, 1107, 769, 713, 3381, 649, 1397, 875, 623, 16644, 11301, 616, 1031, 547, 3313, 952, 519, 6824, 26843, 568, 538, 1852, 563, 311, 5174, 541, 932, 11301, 543, 6713, 6513, 1107, 769, 713, 3381, 649, 1397, 875, 547, 946, 606, 1535, 1532, 541, 5750, 547, 3313, 952, 519, 1377, 540, 513, 1184, 568, 538, 1852, 563, 305, 5190, 609, 681, 16644, 11301, 1107, 769, 713, 3381, 649, 1397, 875, 547, 946, 606, 681, 16644, 691, 547, 3313, 952, 513, 1184, 685, 13260, 568, 538, 1852, 563, 300, 8221, 16186, 932, 11301, 543, 6713, 6513, 1107, 769, 713, 3381, 649, 946, 513, 3001, 2039, 5750, 547, 3313, 630, 22372, 593, 1367, 7403, 264, 952, 513, 1184, 568, 538, 1852, 563, 20779, 532, 779, 8342, 6773, 1107, 769, 713 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5814, 4351, 454, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 544, 1598, 815, 834, 16591, 1434, 1353, 2073, 1554, 1554, 909, 4840, 825, 2247, 1410, 815, 544, 1598, 26098, 2891, 16591, 5602, 825, 1820, 9852, 8161, 2020, 825, 544, 12248, 815, 544, 1598, 29644, 2891, 16591, 5602, 825, 1820, 9852, 12248, 2020, 825, 562, 1598, 815, 544, 1598, 18622, 2897, 2891, 16591, 14824, 326, 644, 5602, 825, 1820, 3799, 1598, 2020, 825, 544, 4289, 815, 544, 1598, 21858, 2891, 19515, 825, 1820, 9852, 4289, 2020, 825, 544, 4289, 815, 544, 1598, 21858, 2891, 14307, 272, 994, 825, 1820, 9852, 4289, 2020, 825, 562, 1598, 815, 544, 1598, 269, 5115, 1388, 1125, 4590, 825, 1820, 3799, 1598, 2020, 825, 544, 1598, 815, 834, 1015, 4840, 825, 562, 1598, 815, 544, 1598, 7456, 3286, 263, 1015, 2437, 268, 5602, 825, 1820, 3799, 1598, 2020, 825, 544, 1598, 815, 834, 1015, 4840, 825, 562, 1598, 815, 544, 1598, 10611, 3286, 263, 1015, 267, 29038, 5602, 825, 1820, 3799, 1598, 9239, 825, 544, 4289, 815, 1592, 4590, 825, 1820, 263, 6943, 9852, 4289, 11723, 825, 544, 4289, 6910, 2891, 419, 493, 511, 421, 499, 379, 5602, 825, 1820, 9852, 4289, 2020, 825, 544, 4289, 27044, 263, 271, 2437, 27730, 417, 356, 498, 5602, 825, 1820, 9852, 4289, 2020, 825, 544, 4289, 21014, 4590, 825, 1820, 9852, 4289, 2020, 825, 1642, 544, 4289, 454, 825, 1820, 9852, 4289, 2020, 825, 1250, 11133, 815, 1496, 274, 267, 278, 267, 275, 267, 273, 2639, 825, 4351, 11075, 28984, 9852, 2106, 636, 994, 825, 1820, 9852, 2106, 636, 2020, 825, 1250, 11133, 31699, 263, 516, 2091, 18989, 994, 825, 1820, 9852, 2106, 636, 2020, 825, 1250, 11133, 18622, 2091, 4590, 825, 1820, 9852, 2106, 636, 2020, 825, 544, 4289, 815, 1496, 272, 267, 273, 267, 274, 267, 275, 2437, 515, 515, 2580, 274, 269, 274, 6540, 825, 544, 6352, 815, 7003, 9852, 4289, 2020, 825, 1820, 9852, 6352, 2020, 825, 544, 4289, 815, 1496, 272, 267, 273, 267, 274, 267, 275, 2639, 825, 585, 1775, 538, 544, 4289, 10778, 1038, 1820, 9217, 2020, 825, 544, 4289, 314, 271, 316, 815, 476, 1015, 454, 825, 585, 1775, 538, 544, 4289, 10778, 1038, 1780, 454, 1038, 1948, 2745, 9217, 2020, 825, 544, 4289, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 2639, 825, 562, 4289, 815, 544, 4289, 454, 825, 1820, 2891, 332, 4289, 7329, 568, 2715, 332, 4289, 573, 348, 2668, 8971, 9852, 4289, 573, 815, 7329, 9852, 4289, 21875, 825, 1820, 2891, 332, 4289, 7329, 568, 2715, 333, 4289, 573, 348, 2668, 8971, 3799, 4289, 573, 284, 573, 3799, 4289, 4297, 2020, 825, 544, 4289, 815, 1496, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 267, 278, 267, 279, 267, 280, 267, 271, 2639, 825, 1820, 263, 573, 9852, 4289, 4917, 825, 1642, 544, 4289, 314, 271, 2639, 825, 1820, 9852, 4289, 2020, 825, 544, 4289, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 267, 476, 279, 267, 476, 280, 267, 476, 271, 2639, 825, 512, 284, 273, 454, 825, 1820, 2891, 514, 9847, 14307, 339, 538, 544, 4289, 994, 825, 1820, 2891, 2254, 538, 9847, 2580, 512, 711, 538, 544, 4289, 2020, 19638, 692, 0, 5814, 11885, 607, 5286, 454, 5814, 4351, 692, 3698, 1205, 32622, 10031, 825, 8173, 825, 717, 1161, 4351, 2798, 689, 519, 7455, 454, 825, 8173, 825, 570, 5588, 3201, 815, 476, 273, 454, 825, 2798, 815, 5286, 25910, 9230, 307, 5588, 3201, 267, 307, 5588, 3201, 4917, 825, 585, 1775, 538, 2039, 24867, 5588, 3201, 2187, 1038, 1535, 815, 5286, 20179, 26716, 4069, 9230, 12639, 30784, 1052, 8987, 272, 267, 272, 267, 271, 269, 272, 28504, 6943, 8782, 15615, 1626, 262, 21875, 1038, 586, 815, 5286, 4732, 514, 18828, 32564, 20080, 994, 1038, 2798, 5157, 316, 815, 1535, 11971, 692, 825, 2132, 2798, 692, 3698, 1205, 20228, 2100, 263, 9557, 2187, 825, 2132, 630, 9557, 314, 272, 267, 272, 316, 268, 9557, 314, 271, 267, 272, 8079, 14370, 12639, 28802, 611, 1372, 343, 335, 263, 9557, 314, 272, 267, 271, 3910, 268, 9557, 314, 271, 267, 271, 8079, 2020, 3698, 1205, 30182, 28840, 8170, 307, 7434, 338, 815, 476, 1911, 271, 2187, 825, 856, 815, 5286, 25910, 28840, 8170, 307, 7434, 338, 994, 825, 585, 1775, 538, 2039, 28840, 8170, 307, 7434, 338, 2187, 1038, 856, 5157, 316, 815, 1205, 20228, 2100, 263, 1326, 32622, 31156, 825, 2132, 5286, 32557, 263, 719, 2020, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1820, 263, 1326, 30182, 28840, 8170, 307, 7434, 338, 815, 476, 1911, 1822, 4917, 0, 258, 2026, 322, 2056, 31592, 9406, 24234, 21121, 1234, 951, 5897, 18851, 1477, 272, 476, 273, 476, 274, 476, 275, 476, 276, 1477, 272, 476, 273, 476, 274, 476, 275, 1477, 272, 476, 273, 476, 274, 1477, 272, 476, 273, 1477, 272, 476, 5897, 18851, 5897, 5897, 333, 25507, 9272, 3890, 3418, 1721, 1775, 538, 2039, 263, 271, 19885, 8029, 825, 585, 795, 538, 2039, 3799, 25829, 8029, 1038, 952, 795, 283, 333, 268, 272, 25829, 6769, 2018, 1820, 27203, 266, 272, 267, 754, 8782, 1412, 3418, 1038, 3116, 6769, 2018, 1820, 27203, 266, 272, 267, 754, 284, 5257, 10142, 825, 952, 1775, 283, 333, 268, 272, 281, 24541, 1038, 1820, 3890, 0, 258, 268, 265, 268, 322, 5317, 281, 583, 325, 268, 279, 28605, 1477, 18257, 1477, 32046, 593, 476, 1001, 277, 23946, 368, 276, 10951, 486, 276, 20721, 354, 5897, 287, 10461, 281, 15073, 340, 1477, 18257, 5897, 770, 2590, 815, 834, 15916, 1158, 10590, 1477, 770, 2590, 273, 815, 1412, 15916, 1158, 256, 262, 5897, 2745, 834, 338, 17532, 10530, 616, 1412, 1412, 29177, 2745, 7003, 263, 770, 2590, 10142, 2745, 513, 11415, 28827, 2891, 334, 14744, 2745, 513, 11415, 29644, 2891, 272, 14744, 2745, 513, 11415, 314, 274, 281, 278, 15947, 2745, 513, 11415, 314, 274, 281, 278, 281, 273, 316, 5897, 2745, 513, 11415, 11468, 18737, 272, 15947, 2745, 513, 11415, 269, 21639, 14052, 2745, 513, 11415, 31573, 31476, 2745, 513, 11415, 269, 11034, 1873, 603, 2891, 15916, 14744, 2745, 513, 11415, 269, 1742, 5976, 2891, 553, 4206, 553, 4206, 553, 4206, 257, 10142, 2378, 1168, 6919, 815, 513, 11415, 21858, 2891, 834, 3418, 2745, 7192, 1168, 6919, 0, 258, 268, 265, 268, 322, 5317, 281, 583, 325, 268, 279, 28605, 1477, 18257, 1477, 32046, 593, 476, 1001, 277, 23946, 368, 276, 10951, 486, 276, 20721, 354, 5897, 287, 10461, 281, 15073, 340, 1477, 18257, 5897, 4067, 815, 834, 11990, 29177, 720, 815, 476, 2537, 5897, 2745, 834, 15916, 267, 260, 338, 10590, 4939, 2012, 1477, 2745, 834, 260, 338, 568, 4939, 323, 1296, 2025, 1701, 4939, 630, 4067, 267, 720, 3418, 332, 2643, 626, 815, 1496, 272, 267, 273, 267, 274, 15947, 2745, 834, 288, 1592, 281, 4939, 338, 257, 4939, 1250, 4289, 5897, 0, 454, 325, 21209, 815, 22373, 1805, 3863, 11241, 2580, 834, 301, 20973, 1149, 2580, 834, 7343, 956, 2580, 834, 294, 1905, 525, 2580, 834, 8248, 2851, 2580, 834, 290, 615, 1845, 2580, 834, 303, 8986, 31116, 557, 1326, 1963, 815, 22373, 8967, 514, 778, 2580, 834, 298, 1446, 2580, 834, 25402, 10633, 2580, 834, 290, 601, 2044, 2580, 834, 22025, 10633, 257, 6540, 258, 8161, 5470, 454, 26319, 815, 7003, 6600, 21209, 994, 2745, 10857, 2654, 994, 258, 649, 1711, 4994, 5470, 454, 258, 1820, 6600, 21209, 314, 26319, 7481, 2745, 6600, 21209, 314, 26319, 268, 272, 20285, 258, 333, 6479, 8638, 454, 323, 8812, 318, 4777, 7999, 815, 1496, 325, 21209, 267, 5388, 2639, 2745, 5560, 8812, 318, 4777, 7999, 264, 0, 18851, 276, 269, 16549, 345, 546, 2033, 1592, 324, 3443, 560, 342, 1775, 1592, 324, 5212, 335, 578, 328, 611, 1690, 2329, 577, 708, 11465, 770, 630, 560, 4301, 1040, 2098, 777, 1886, 517, 340, 329, 454, 11584, 19241, 675, 546, 1415, 577, 1775, 23040, 529, 345, 1982, 910, 6067, 530, 737, 339, 6759, 516, 329, 17485, 340, 329, 5519, 795, 539, 7224, 454, 3966, 560, 6851, 1775, 29473, 345, 2131, 340, 329, 5519, 10540, 16492, 795, 1122, 334, 588, 32123, 269, 5358, 4073, 514, 1329, 544, 773, 322, 454, 332, 9926, 2993, 342, 8113, 546, 617, 16492, 1631, 1122, 334, 3443, 560, 11445, 1775, 795, 1122, 334, 588, 32123, 267, 1990, 997, 345, 16492, 5309, 19241, 6759, 342, 454, 328, 1217, 9774, 807, 1178, 322, 5633, 522, 795, 1122, 334, 530, 2106, 30884, 269, 6182, 322, 345, 632, 1097, 706, 16660, 522, 476, 3342, 857, 4073, 339, 6759, 337, 7999, 27969, 454, 5814, 4351, 692, 258, 3443, 560, 11445, 815, 18358, 303, 11169, 6390, 12887, 305, 657, 10937, 12887, 301, 22044, 1097, 12887, 290, 14864, 344, 12887, 306, 869, 659, 10937, 12887, 299, 527, 11445, 12887, 308, 330, 1778, 320, 12887, 289, 658, 11501, 23300, 3966, 560, 11445, 815, 18358, 303, 11169, 6390, 12887, 305, 657, 10937, 23300, 560, 565, 823, 815, 18358, 310, 1513, 345, 11867, 12887, 300, 657, 330, 11445, 12887, 29155, 4802, 12887, 303, 4048, 320, 12887, 289, 7806, 903, 331, 11867, 12887, 310, 559, 7224, 12887, 298, 6359, 578, 12887, 300, 1231, 330, 262, 6540, 338, 869, 23364, 815, 2715, 10926, 1721, 1775, 25814, 538, 23407, 263, 3966, 560, 11445, 267, 560, 565, 823, 2187, 825, 1948, 1820, 9217, 25814, 994, 825, 3500, 23364, 5157, 24557, 329, 692, 258, 1820, 4433, 869, 23364, 2020, 3698, 17485, 340, 329, 3890, 1384, 825, 1178, 329, 815, 834, 339, 752, 4840, 825, 533, 14150, 815, 476, 271, 454, 825, 1247, 630, 6588, 329, 2652, 834, 339, 752, 257, 610, 476, 1178, 329, 11203, 834, 22448, 8442, 543, 7003, 263, 3966, 560, 11445, 264, 285, 271, 912, 1038, 1071, 815, 703, 9272, 2891, 3269, 10870, 669, 806, 345, 1990, 13681, 545, 888, 2018, 476, 272, 269, 313, 27558, 329, 530, 6067, 15030, 2643, 657, 340, 329, 17328, 385, 482, 560, 6851, 1775, 5212, 335, 578, 1221, 345, 795, 10440, 795, 652, 795, 1122, 334, 588, 565, 3821, 454, 2018, 476, 273, 6185, 617, 1690, 1631, 324, 3443, 560, 6851, 1775, 588, 565, 823, 454, 2018, 476, 274, 10422, 758, 1794, 5309, 330, 1399, 9638, 3863, 573, 869, 324, 5212, 335, 578, 1221, 17844, 1094, 1990, 997, 29773, 9385, 333, 18851, 4917, 1038, 952, 1071, 2652, 476, 272, 912, 2018, 737, 815, 4351, 26716, 4069, 263, 3966, 560, 11445, 994, 2018, 1820, 17347, 994, 2018, 7510, 11927, 773, 815, 6358, 2891, 303, 617, 1690, 588, 565, 823, 15854, 1122, 334, 7754, 560, 11445, 24097, 333, 15419, 2018, 952, 7510, 11927, 773, 14714, 8692, 14061, 12294, 3890, 2652, 3500, 23364, 25208, 4940, 12294, 10031, 3546, 1820, 263, 7510, 11927, 773, 269, 21639, 3890, 1341, 834, 795, 652, 588, 565, 3821, 834, 1341, 737, 994, 3546, 533, 14150, 6834, 476, 272, 454, 3546, 3443, 560, 11445, 31927, 17347, 994, 2018, 3116, 912, 3546, 1820, 263, 7510, 11927, 773, 269, 21639, 3890, 1341, 834, 22448, 795, 652, 588, 565, 3821, 834, 1341, 737, 2020, 1038, 8640, 1071, 2652, 476, 273, 912, 2018, 3443, 560, 6851, 815, 3403, 2891, 303, 617, 1690, 3443, 560, 6851, 267, 737, 339, 648, 669, 806, 345, 546, 617, 659, 281, 19515, 2018, 588, 565, 3821, 815, 3403, 2891, 303, 617, 1690, 588, 565, 823, 751, 2998, 3443, 560, 11445, 281, 19515, 2018, 952, 3443, 560, 6851, 11203, 3500, 23364, 269, 12399, 10031, 3546, 3500, 23364, 314, 3966, 560, 6851, 316, 815, 588, 565, 3821, 454, 3546, 3443, 560, 11445, 6910, 263, 3966, 560, 6851, 994, 1038, 8640, 1071, 2652, 476, 274, 912, 2018, 1820, 9638, 14150, 2020, 7531, 1038, 1178, 329, 815, 3403, 2891, 290, 5414, 669, 806, 345, 1178, 322, 546, 1446, 329, 286, 512, 752, 14672, 773, 5602, 1038, 1820, 263, 3966, 560, 11445, 994, 825, 1948, 562, 773, 530, 22044, 795, 752, 1990, 13681, 545, 18410, 2421, 530, 903, 342, 2884, 331, 559, 334, 562, 600, 533, 19241, 795, 14162, 7942, 30458, 795, 652, 533, 755, 320, 454, 825, 952, 7003, 263, 3966, 560, 11445, 264, 2652, 476, 271, 912, 1038, 1820, 3488, 335, 6064, 1399, 281, 22207, 335, 14150, 9239, 32221, 340, 329, 10797, 0, 258, 2237, 707, 3009, 2630, 713, 1899, 26461, 485, 454, 258, 295, 842, 281, 5457, 547, 1104, 519, 4351, 9074, 1101, 269, 9462, 492, 366, 454, 18411, 258, 27491, 454, 2791, 616, 2469, 547, 2328 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1044, 513, 3395, 7678, 2509, 8716, 29426, 3206, 1851, 1762, 1453, 269, 2060, 2984, 899, 602, 540, 22186, 22220, 3751, 267, 519, 13653, 540, 570, 622, 781, 645, 820, 19255, 267, 7674, 607, 6667, 267, 811, 543, 811, 3237, 543, 7855, 616, 9301, 519, 1871, 540, 3450, 3214, 827, 1870, 543, 9297, 693, 606, 2038, 2085, 269, 769, 713, 1770, 267, 649, 786, 2263, 1018, 621, 1797, 547, 581, 606, 16724, 585, 3214, 267, 6313, 1883, 2035, 971, 607, 5876, 267, 1966, 9010, 267, 1981, 23824, 267, 543, 16177, 269, 3414, 2502, 2238, 543, 1483, 8996, 1806, 267, 649, 786, 948, 1053, 1174, 875, 789, 666, 4019, 891, 1983, 547, 1711, 741, 1378, 4213, 543, 1831, 3811, 3401, 538, 741, 2950, 780, 8893, 476, 272, 281, 1548, 568, 29661, 1222, 2496, 4263, 922, 4295, 267, 20835, 568, 782, 827, 7114, 3255, 543, 2870, 3435, 269, 898, 3322, 1210, 3860, 3206, 267, 2565, 2079, 267, 543, 5499, 1966, 9010, 547, 2490, 2093, 883, 4641, 269, 1280, 3214, 267, 20835, 666, 1491, 1082, 3029, 267, 689, 4358, 513, 21097, 1796, 547, 22745, 513, 8378, 9657, 1982, 269, 1635, 1565, 827, 20835, 267, 1453, 2744, 3407, 1983, 602, 666, 4324, 873, 538, 782, 2127, 540, 1272, 267, 1519, 2792, 267, 16542, 267, 5718, 267, 543, 2883, 7924, 780, 12244, 281, 5620, 1053, 16540, 513, 1592, 540, 2042, 538, 741, 1153, 610, 2146, 602, 789, 1131, 899, 547, 4194, 269, 11559, 873, 547, 1589, 21176, 543, 2097, 909, 609, 2189, 3435, 269, 3973, 267, 723, 873, 1459, 741, 2093, 547, 519, 1362, 543, 1865, 799, 3283, 1522, 581, 15164, 547, 2936, 780, 8893, 476, 273, 281, 15043, 606, 24573, 584, 658, 9650, 3553, 692, 3080, 540, 519, 1034, 1271, 3344, 540, 20835, 568, 2348, 519, 1318, 14820, 269, 901, 2882, 7592, 971, 607, 6043, 267, 8990, 267, 543, 513, 18515, 547, 1491, 4220, 269, 1677, 11349, 606, 29426, 14820, 538, 3214, 267, 621, 781, 1898, 547, 1683, 873, 609, 3255, 547, 2259, 1818, 3664, 267, 6061, 2042, 267, 543, 7231, 609, 22303, 269, 901, 666, 4125, 3388, 689, 4730, 3756, 602, 2154, 7580, 3206, 547, 10283, 538, 1895, 3785, 1141, 789, 1590, 960, 1927, 547, 3035, 513, 1455, 3804, 780, 12244, 281, 19147, 1053, 883, 1507, 2516, 543, 3651, 873, 513, 4161, 267, 971, 607, 2679, 519, 32399, 13486, 1210, 1152, 2269, 9749, 543, 11746, 269, 12315, 873, 3908, 2200, 543, 942, 10148, 267, 543, 5000, 873, 547, 1589, 3544, 519, 4216, 547, 1265, 3860, 3435, 269, 30850, 267, 3181, 4361, 607, 513, 1362, 543, 1865, 519, 2994, 1031, 676, 1142, 1895, 267, 607, 1134, 607, 1022, 9465, 789, 11402, 543, 875, 789, 22848, 877, 873, 780, 8893, 476, 274, 281, 17291, 19662, 692, 22209, 7651, 2720, 616, 2141, 593, 519, 1413, 719, 585, 1007, 3255, 269, 1358, 1294, 1761, 1141, 1866, 949, 711, 267, 543, 789, 616, 9952, 693, 7432, 1346, 7399, 883, 19311, 26136, 269, 9752, 3214, 875, 547, 2697, 3255, 568, 2629, 585, 3384, 741, 29426, 1983, 269, 2290, 1259, 547, 798, 713, 568, 676, 8716, 873, 547, 7747, 519, 1158, 1472, 873, 543, 2307, 2055, 269, 1280, 1383, 267, 952, 789, 5469, 602, 513, 2199, 6288, 19330, 17885, 23691, 267, 789, 1522, 2015, 4358, 513, 1870, 10655, 16445, 543, 8741, 532, 540, 621, 5265, 780, 12244, 281, 6875, 1053, 593, 513, 2361, 7552, 547, 513, 2199, 10918, 32041, 610, 25708, 1858, 269, 9105, 873, 547, 2628, 3007, 547, 519, 1585, 4213, 789, 7237, 543, 2697, 1022, 2115, 610, 10616, 538, 519, 2344, 269, 1280, 3236, 267, 789, 1522, 5469, 602, 972, 5749, 1405, 1022, 2635, 1426, 3681, 2139, 610, 602, 1978, 2472, 616, 936, 335, 878, 539, 269, 4495, 1394, 538, 519, 4928, 267, 723, 1053, 2671, 741, 7422, 543, 1865, 1761, 1870, 2093, 1759, 593, 1018, 789, 8068, 780, 8893, 476, 275, 281, 8490, 513, 16200, 12243, 692, 4407, 930, 11639, 3442, 547, 979, 621, 4805, 267, 1082, 3811, 4213, 616, 3710, 593, 2178, 6887, 269, 4804, 875, 547, 1628, 543, 4383, 513, 2319, 568, 4061, 606, 1898, 5578, 585, 14971, 1762, 11639, 269, 901, 3322, 1620, 875, 547, 5968, 3927, 267, 15518, 622, 4247, 267, 543, 8207, 7526, 269, 3958, 267, 621, 3340, 5807, 513, 2318, 2754, 2528, 602, 7512, 5647, 267, 5698, 267, 543, 2208, 780, 12244, 281, 25849, 1053, 547, 1507, 2516, 543, 4305, 873, 609, 2870, 513, 23769, 1870, 12334, 269, 4256, 6881, 1058, 1331, 1344, 593, 519, 1587, 610, 3028, 789, 1544, 547, 2709, 267, 741, 3077, 2344, 267, 543, 875, 789, 786, 7941, 9021, 1369, 519, 2319, 269, 11559, 16268, 5955, 543, 4901, 1310, 1142, 6881, 267, 10771, 519, 2956, 540, 2312, 2792, 543, 2500, 15518, 566, 780, 6962, 1384, 22826, 3214, 827, 20835, 16877, 873, 547, 1831, 3742, 5171, 538, 741, 2950, 543, 28382, 873, 609, 3407, 1983, 602, 666, 2063, 513, 10715, 269, 1635, 3695, 3584, 971, 607, 5876, 267, 1966, 9010, 267, 543, 16542, 267, 649, 666, 948, 6536, 513, 5108, 540, 3048, 2209, 543, 3401, 945, 616, 5827, 540, 21365, 1950, 2591, 543, 6117, 6209, 1689, 269, 1306, 23576, 676, 519, 1967, 540, 2043, 899, 22186, 22220, 3751, 267, 519, 6607, 568, 5963, 519, 3970, 950, 621, 2501, 547, 1018, 1762, 1004, 666, 9585, 950, 2016, 519, 4316, 547, 11654, 741, 18653, 543, 9909, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 19285, 1101, 4121, 827, 519, 13648, 773, 10348, 1247, 2542, 9517, 12788, 10790, 298, 8991, 676, 8899, 5674, 25143, 344, 590, 747, 565, 269, 22186, 22220, 3751, 568, 519, 13653, 540, 570, 622, 779, 645, 820, 19255, 12897, 630, 3240, 5172, 1373, 519, 11993, 3283, 1040, 4173, 1650, 568, 851, 540, 476, 1428, 4775, 11639, 12286, 538, 713, 3184, 1433, 269, 1809, 267, 1631, 1256, 7820, 3214, 666, 581, 6273, 676, 3751, 779, 1650, 2854, 676, 3751, 543, 538, 5698, 609, 8899, 5674, 25143, 344, 590, 747, 565, 269, 634, 1433, 568, 11609, 676, 7931, 7431, 918, 4954, 6308, 7288, 269, 6744, 856, 519, 2022, 2630, 543, 4283, 547, 3094, 835, 540, 476, 276, 12215, 540, 519, 1433, 2059, 609, 513, 10189, 540, 570, 622, 779, 645, 820, 19255, 12897, 256, 901, 2285, 12537, 568, 23032, 676, 519, 17404, 543, 594, 993, 711, 3743, 585, 519, 6765, 540, 519, 26065, 269, 634, 2285, 12537, 7475, 593, 10732, 267, 5239, 476, 1428, 267, 865, 4283, 2221, 256, 2336, 305, 24655, 5600, 7734, 585, 8479, 22419, 1923, 5147, 476, 1240, 628, 267, 476, 1708, 274, 1923, 476, 275, 268, 279, 1296, 1923, 10434, 16225, 1269, 1240, 269, 4200, 454, 8110, 2739, 585, 18397, 18798, 543, 27503, 536, 5474, 267, 713, 568, 519, 3020, 1650, 540, 513, 8004, 945, 4553, 1200, 5326, 547, 1118, 519, 3501, 10217, 7302, 760, 23739, 1700, 663, 267, 835, 1554, 267, 8547, 1158, 3146, 11471, 570, 12442, 24912, 22601, 17395, 15562, 8008, 10378, 269, 22731, 1071, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 22209, 7651, 2720, 1222, 585, 8866, 257, 607, 851, 540, 834, 16300, 13493, 1315, 6355, 1299, 13188, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 8080, 547, 938, 3184, 827, 519, 4241, 1158, 540, 1148, 3906, 256, 5620, 596, 2479, 9289, 875, 26847, 267, 15882, 267, 543, 824, 4213, 602, 4308, 609, 11247, 7500, 286, 4270, 267, 972, 781, 513, 2603, 811, 547, 621, 982, 1175, 16304, 10367, 593, 6821, 256, 2913, 781, 4685, 883, 930, 1898, 3344, 540, 5883, 606, 1148, 3919, 780, 5331, 596, 960, 693, 513, 3579, 1148, 19922, 4904, 609, 4190, 4773, 2813, 676, 16805, 5159, 269, 2659, 2816, 1522, 4125, 2921, 1416, 540, 891, 25704, 267, 4543, 8436, 5660, 873, 267, 610, 1256, 14045, 799, 3283, 547, 4159, 269, 1306, 851, 540, 519, 2319, 267, 596, 849, 991, 547, 1589, 827, 1919, 899, 9878, 707, 5520, 9425, 267, 9363, 2922, 2228, 267, 1565, 827, 1142, 11247, 781, 1686, 267, 543, 1818, 2386, 707, 19922, 814, 513, 2318, 1764, 593, 519, 1604, 269, 2334, 781, 1318, 910, 1148, 3906, 723, 9021, 3564, 3274, 6029, 1055, 1390, 1148, 2439, 4131, 781, 2263, 2947, 2565, 2127, 540, 5665, 606, 1148, 3919, 1384, 272, 269, 25477, 281, 3807, 899, 1022, 824, 2754, 267, 1148, 3906, 1590, 1246, 3652, 950, 17849, 1004, 269, 901, 2882, 4259, 4023, 13848, 267, 4180, 3160, 3255, 267, 543, 3246, 2640, 971, 607, 1072, 6142, 610, 16314, 942, 269, 1635, 8156, 741, 5520, 1134, 267, 1148, 4213, 1711, 513, 6126, 9036, 1141, 3025, 7959, 12595, 543, 12592, 563, 273, 269, 15536, 9798, 281, 2060, 865, 1454, 1344, 6740, 25274, 19951, 267, 7863, 1239, 568, 2629, 269, 27725, 619, 1223, 2119, 27560, 6213, 3877, 827, 5159, 267, 19216, 267, 610, 5561, 269, 1677, 1832, 3388, 5150, 267, 1148, 3906, 946, 2645, 899, 2178, 18538, 267, 1079, 29969, 17452, 267, 543, 2834, 1394, 5725, 269, 1358, 949, 849, 4001, 5234, 2818, 875, 547, 5544, 1085, 4461, 543, 26122, 8942, 563, 274, 269, 1160, 1597, 766, 11621, 281, 1879, 7231, 609, 3407, 1568, 540, 1148, 267, 6616, 4010, 945, 1500, 873, 543, 1141, 789, 3357, 689, 568, 1360, 1271, 269, 834, 3682, 1597, 766, 257, 4016, 547, 519, 1686, 540, 9562, 610, 26692, 540, 606, 6221, 269, 1635, 15388, 543, 25643, 8810, 766, 267, 1148, 3906, 2327, 13597, 543, 2061, 30081, 2238, 269, 898, 781, 899, 16439, 519, 1920, 3529, 540, 513, 7206, 610, 17001, 2336, 275, 269, 20885, 281, 9894, 596, 917, 602, 1148, 3906, 1404, 513, 1909, 538, 8497, 519, 4541, 1932, 286, 9861, 4264, 1797, 4227, 3653, 267, 25137, 1648, 267, 543, 5009, 10357, 7888, 2853, 269, 1280, 1383, 267, 26847, 1223, 3442, 10896, 8279, 602, 4688, 5201, 610, 19074, 11183, 2326, 3079, 540, 18530, 873, 2476, 269, 1452, 2370, 3268, 1039, 909, 547, 1118, 513, 2462, 3017, 2336, 276, 269, 3203, 1299, 15306, 281, 5303, 4249, 513, 1713, 1909, 538, 2221, 781, 1148, 6429, 269, 3245, 5691, 4641, 2833, 547, 3059, 10525, 267, 1007, 4066, 948, 13686, 7499, 13144, 538, 5499, 2081, 269, 3958, 267, 5841, 4987, 666, 4217, 1225, 2209, 538, 8939, 3617, 26620, 1759, 593, 2188, 899, 2511, 267, 6249, 267, 610, 7376, 4282, 269, 1215, 5863, 568, 602, 2496, 2414, 16833, 909, 267, 1577, 781, 1491, 513, 1413, 693, 1018, 4523, 1282, 513, 2027, 2680, 1572, 634, 3203, 6355, 10985, 269, 5994, 11836, 7366, 540, 4648, 2324, 538, 1114, 5107, 1369, 519, 1148, 2872, 269, 3683, 1079, 2395, 267, 789, 1865, 3584, 649, 14437, 827, 4505, 267, 7390, 11925, 267, 543, 1451, 4052, 1983, 2877, 547, 2196, 3811, 543, 3743, 1148, 3906, 269, 1635, 2519, 593, 1312, 5876, 543, 3280, 2359, 3741, 267, 891, 4966, 3565, 547, 513, 7524, 543, 14762, 6575, 2146, 780, 3086, 602, 596, 1174, 811, 827, 519, 10578, 1158, 3297, 1148, 3906, 267, 6148, 835, 1554, 596, 3513, 1831, 513, 4105, 851, 540, 621, 3054, 256, 5808, 6487, 267, 596, 1522, 3605, 6456, 15421, 610, 18653, 2059, 519, 1259, 269, 1924, 979, 6619, 267, 2263, 267, 1451, 267, 543, 2972, 519, 5898, 540, 1148, 1247, 5329, 922, 1870, 2427, 8449, 9159, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 3203, 6355, 10985, 568, 13059, 547, 1715, 3840, 538, 476, 1708, 274, 267, 1739, 513, 1614, 4458, 554, 9332, 639, 267, 585, 513, 2407, 1554, 10554, 593, 4989, 476, 2918, 4553, 676, 513, 3368, 1554, 540, 12909, 267, 2866, 543, 11925, 593, 6940, 593, 4989, 476, 2767, 269, 1280, 782, 1346, 3238, 538, 9140, 267, 9513, 610, 12391, 585, 1148, 267, 2436, 607, 513, 19922, 8227, 267, 4238, 8689, 267, 1148, 25129, 267, 18638, 9614, 267, 5748, 267, 4357, 21689, 267, 25488, 17621, 610, 9754, 3318, 267, 713, 10554, 6227, 519, 1883, 3344, 540, 4881, 606, 1148, 1870, 610, 4015, 269, 1284, 616, 30590, 547, 10950, 476, 1220, 28752, 547, 519, 476, 1708, 274, 10554, 267, 519, 1592, 540, 11504, 3549, 666, 581, 1336, 1934 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3617, 10158, 568, 5916, 609, 519, 3617, 1239, 5044, 2631, 24582, 5512, 12557, 5365, 547, 3595, 1152, 519, 2631, 7586, 13294, 476, 7367, 267, 476, 7918, 267, 476, 6321, 610, 476, 6812, 602, 5330, 547, 519, 20083, 10158, 269, 769, 713, 6073, 267, 1152, 631, 2631, 7586, 13294, 630, 3602, 631, 568, 519, 1239, 8700, 264, 26632, 622, 1379, 585, 519, 5697, 10158, 269, 17968, 267, 621, 1058, 581, 7074, 602, 2901, 12358, 3626, 18328, 5308, 19235, 610, 5911, 11399, 262, 539, 3977, 2619, 949, 8850, 2824, 519, 1239, 269, 1403, 9039, 540, 519, 16776, 538, 21461, 476, 1240, 6474, 519, 11090, 6712, 540, 519, 2232, 267, 1287, 972, 568, 513, 1239, 21461, 4413, 269, 8074, 602, 519, 700, 272, 21461, 2631, 7586, 13294, 543, 519, 1239, 6765, 2619, 26632, 622, 1100, 1379, 538, 713, 2013, 563, 15675, 528, 476, 2568, 2882, 5036, 540, 21461, 2631, 993, 1186, 476, 7367, 267, 476, 7918, 267, 476, 6321, 543, 476, 6812, 602, 4309, 519, 16776, 689, 519, 7222, 10158, 14249, 267, 855, 538, 13076, 609, 519, 1459, 8798, 267, 1152, 835, 1305, 540, 21461, 2631, 993, 1186, 568, 13087, 547, 1780, 1239, 547, 519, 3977, 269, 1635, 1259, 540, 1383, 267, 513, 11090, 6740, 693, 513, 5697, 21461, 1899, 538, 10158, 476, 271, 568, 2283, 539, 676, 2631, 993, 1186, 476, 3953, 267, 3379, 676, 5635, 5547, 476, 5655, 1996, 519, 11090, 6712, 540, 519, 2232, 267, 543, 21461, 1239, 568, 5293, 676, 519, 1305, 540, 1239, 2631, 993, 1186, 476, 7367, 547, 519, 1239, 3977, 952, 5635, 5547, 476, 5655, 6920, 513, 21461, 3620, 527, 269, 11088, 267, 4063, 602, 519, 5665, 1379, 540, 21461, 476, 1240, 949, 581, 4389, 676, 1210, 519, 5635, 11387, 547, 5512, 1152, 835, 10158, 540, 1239, 2631, 993, 1186, 267, 1247, 771, 29058, 519, 6967, 5036, 540, 1239, 2631, 993, 1186, 563, 1607, 20032, 2982, 513, 476, 275, 17574, 1305, 1997, 894, 21461, 267, 855, 519, 2450, 540, 519, 21461, 543, 519, 1297, 540, 18467, 1058, 711, 581, 513, 20159, 540, 519, 1459, 8798, 269, 1306, 3254, 267, 519, 21461, 949, 581, 5258, 883, 7161, 476, 3583, 268, 10019, 267, 609, 1142, 3625, 2348, 2185, 18467, 267, 1775, 4318, 1421, 10158, 476, 271, 267, 10158, 476, 272, 267, 10158, 476, 273, 543, 10158, 476, 274, 269, 3962, 540, 519, 2185, 18467, 949, 2270, 2185, 25466, 630, 320, 31632, 4564, 476, 279, 11353, 264, 585, 13936, 513, 476, 3953, 19229, 2262, 269, 10158, 476, 271, 267, 10158, 476, 272, 267, 10158, 476, 273, 543, 10158, 476, 274, 538, 1142, 3625, 949, 581, 15652, 539, 883, 513, 2539, 6712, 547, 4558, 519, 2539, 1079, 25466, 543, 606, 5580, 6712, 547, 4558, 519, 5580, 1079, 25466, 269, 1635, 1259, 540, 1383, 267, 513, 10158, 476, 271, 538, 3625, 476, 3583, 949, 4558, 519, 2539, 1079, 25466, 630, 6577, 6838, 676, 1635, 5052, 1496, 271, 281, 272, 3910, 552, 3052, 269, 11353, 476, 271, 281, 1428, 264, 543, 1776, 10158, 476, 271, 949, 4558, 519, 5580, 1079, 25466, 630, 6577, 6838, 676, 1635, 5052, 1496, 273, 281, 274, 3910, 552, 3052, 269, 11353, 476, 1626, 281, 4029, 30155, 9827, 267, 519, 1913, 949, 581, 2168, 11231, 538, 519, 21461, 607, 654, 16704, 476, 271, 630, 23026, 476, 3583, 1070, 654, 16704, 476, 273, 630, 23026, 476, 7761, 1070, 654, 16704, 476, 272, 630, 23026, 476, 10619, 1070, 654, 16704, 476, 274, 630, 23026, 476, 10602, 1070, 654, 16704, 476, 275, 630, 23026, 476, 4281, 1070, 654, 16704, 476, 277, 630, 23026, 476, 3199, 1070, 654, 16704, 476, 276, 630, 23026, 476, 11025, 1070, 543, 654, 16704, 476, 278, 630, 23026, 476, 10019, 1040, 4329, 4063, 602, 476, 5038, 2631, 993, 1186, 949, 581, 4092, 1063, 654, 16704, 476, 271, 543, 654, 16704, 476, 273, 267, 476, 5038, 2631, 993, 1186, 949, 581, 4092, 1063, 654, 16704, 476, 272, 543, 654, 16704, 476, 274, 267, 476, 5038, 2631, 993, 1186, 949, 581, 4092, 1063, 654, 16704, 476, 275, 543, 654, 16704, 476, 277, 267, 543, 476, 5038, 2631, 993, 1186, 949, 581, 4092, 1063, 654, 16704, 476, 276, 543, 654, 16704, 476, 278, 563, 1103, 713, 20032, 267, 3368, 540, 519, 20796, 9169, 949, 581, 11231, 2348, 519, 18467, 10288, 13394, 583, 1947, 267, 1247, 538, 519, 824, 3368, 519, 6292, 19280, 540, 519, 18467, 949, 581, 20328, 269, 10925, 1776, 1259, 267, 654, 16704, 476, 271, 267, 654, 16704, 476, 272, 267, 654, 16704, 476, 275, 543, 654, 16704, 476, 276, 949, 581, 11231, 547, 723, 513, 2168, 1931, 540, 10158, 476, 271, 267, 10158, 476, 272, 267, 10158, 476, 273, 543, 10158, 476, 274, 585, 13936, 519, 2539, 1079, 25466, 543, 519, 1482, 19280, 585, 13936, 519, 5580, 1079, 25466, 269, 1809, 654, 16704, 476, 273, 267, 654, 16704, 476, 274, 267, 654, 16704, 476, 277, 543, 654, 16704, 476, 278, 949, 581, 11231, 609, 519, 18467, 2348, 513, 1114, 19280, 269, 769, 891, 20796, 9169, 267, 519, 6292, 19280, 949, 581, 20328, 547, 723, 513, 2168, 1931, 540, 10158, 476, 272, 267, 10158, 476, 271, 267, 10158, 476, 274, 267, 10158, 476, 273, 585, 13936, 519, 2539, 1079, 25466, 543, 519, 1482, 19280, 585, 13936, 519, 5580, 1079, 25466, 269, 901, 11460, 540, 519, 21461, 3965, 2636, 10158, 476, 271, 547, 2671, 2631, 993, 1186, 609, 10158, 476, 272, 267, 543, 10158, 476, 273, 547, 2671, 2631, 993, 1186, 609, 10158, 476, 274, 269, 1306, 835, 1383, 267, 519, 2539, 1079, 25466, 630, 3528, 5052, 1496, 271, 281, 272, 8079, 543, 519, 5580, 1079, 25466, 630, 3528, 5052, 1496, 273, 281, 274, 8079, 585, 10158, 476, 271, 540, 3625, 476, 3583, 949, 581, 11231, 547, 2671, 2631, 993, 1186, 609, 519, 7222, 2539, 1079, 25466, 543, 5580, 1079, 25466, 585, 10158, 476, 272, 540, 3625, 476, 7761, 269, 19452, 267, 519, 2539, 1079, 25466, 630, 3528, 5052, 1496, 271, 281, 272, 8079, 543, 519, 5580, 1079, 25466, 630, 3528, 5052, 1496, 273, 281, 274, 8079, 585, 10158, 476, 272, 540, 3625, 476, 3583, 949, 581, 11231, 547, 2671, 2631, 993, 1186, 609, 519, 7222, 2539, 1079, 25466, 543, 5580, 1079, 25466, 585, 10158, 476, 271, 540, 3625, 476, 7761, 269, 6684, 267, 519, 2539, 1079, 25466, 630, 3528, 5052, 1496, 271, 281, 272, 8079, 543, 519, 5580, 1079, 25466, 630, 3528, 5052, 1496, 273, 281, 274, 8079, 585, 10158, 476, 273, 540, 3625, 476, 3583, 949, 581, 11231, 547, 2671, 2631, 993, 1186, 609, 519, 7222, 2539, 1079, 25466, 543, 5580, 1079, 25466, 585, 10158, 476, 274, 540, 3625, 476, 7761, 267, 543, 519, 2539, 1079, 25466, 630, 3528, 5052, 1496, 271, 281, 272, 8079, 543, 519, 5580, 1079, 25466, 630, 3528, 5052, 1496, 273, 281, 274, 8079, 585, 10158, 476, 274, 540, 3625, 476, 3583, 949, 581, 11231, 547, 2671, 2631, 993, 1186, 609, 519, 7222, 2539, 1079, 25466, 543, 5580, 1079, 25466, 585, 10158, 476, 273, 540, 3625, 476, 7761, 563, 306, 1619, 993, 1186, 949, 581, 1031, 585, 15392, 519, 1871, 540, 1142, 6740, 3787, 269, 4438, 3339, 5106, 1141, 835, 476, 3953, 19229, 2262, 568, 1224, 267, 835, 2631, 18041, 5512, 5365, 949, 581, 7682, 539, 602, 2636, 835, 540, 519, 2185, 2631, 993, 1186, 2404, 609, 1142, 594, 23860, 3787, 20105, 547, 8362, 2631, 1344, 269, 1809, 1282, 606, 859, 2109, 267, 1079, 2631, 18041, 5512, 6786, 949, 581, 7682, 539, 543, 1450, 1079, 2631, 993, 1186, 689, 519, 1895, 540, 2185, 547, 581, 3742, 269, 769, 713, 2013, 267, 3787, 476, 271, 689, 654, 16704, 476, 271, 543, 3787, 476, 271, 689, 654, 16704, 476, 273, 267, 585, 1383, 267, 949, 581, 1224, 585, 519, 1482, 10158, 269, 1635, 711, 23454, 1913, 1927, 538, 519, 1482, 21461, 3625, 267, 519, 1459, 3919, 6087, 835, 268, 12860, 859, 11881, 267, 1437, 908, 1079, 4627, 543, 15823, 3670, 2631, 993, 1186, 602, 1450, 5216, 1913, 547, 581, 1224, 693, 519, 1482, 942, 269, 4746, 267, 713, 21461, 3919, 2636, 519, 1379, 547, 581, 7856, 14961, 2066, 519, 3003, 21461, 5044, 1282, 606, 859, 1112, 610, 6445, 269, 8074, 602, 519, 2631, 993, 1186, 949, 581, 575, 730, 676, 519, 21461, 3620, 527, 5365, 689, 513, 11090, 6740, 538, 835, 540, 519, 18467, 267, 543, 8754, 267, 1100, 968, 17218, 1259, 892, 2824, 5547, 6818, 563, 4407, 1978, 2934, 540, 519, 8798, 723, 1044, 11609, 543, 4330, 23954, 267, 1082, 12381, 267, 2655, 4801, 267, 2242, 267, 543, 5973, 757, 786, 1631, 2049, 547, 1346, 9952, 538, 519, 1148, 269, 898, 568, 267, 4061, 267, 547, 581, 6956, 602, 519, 813, 2105, 6811, 616, 5497, 547, 3382, 782, 971, 12381, 543, 2242, 607, 2887, 1369, 519, 3020, 6891, 540, 519, 8798, 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 ]

[ 17044, 9549, 281, 713, 568, 21060, 6019, 267, 4993, 267, 538, 519, 1977, 2442, 9345, 269, 5851, 547, 3540, 2924, 12325, 267, 11806, 24984, 267, 7087, 18094, 267, 4074, 5322, 267, 543, 606, 1528, 28672, 602, 814, 5063, 5828, 4544, 281, 713, 568, 519, 21060, 6019, 267, 4993, 267, 602, 6013, 9944, 519, 1402, 2686, 6041, 267, 1932, 2370, 8947, 1256, 676, 17137, 563, 5575, 6994, 2213, 593, 10538, 1835, 622, 10297, 607, 513, 11344, 2230, 540, 4074, 6954, 11606, 267, 1287, 15469, 998, 519, 15260, 1005, 16837, 540, 519, 19732, 5006, 9255, 593, 3047, 267, 543, 1034, 5063, 7604, 1078, 538, 8613, 23609, 540, 519, 1858, 779, 5409, 5115, 1388, 1143, 267, 21060, 6019, 849, 3568, 513, 19599, 3309, 543, 771, 268, 10260, 656, 2250, 602, 814, 4539, 585, 519, 1459, 269, 13966, 2515, 922, 21490, 27492, 10538, 9240, 1407, 267, 31768, 11614, 267, 543, 544, 8712, 267, 621, 568, 513, 1747, 1141, 1004, 723, 5706, 539, 17478, 267, 17388, 585, 1857, 5624, 267, 11110, 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, 4149, 23293, 543, 8605, 2032, 257, 607, 851, 540, 834, 28765, 22723, 13493, 1315, 6184, 2869, 1049, 1299, 9608, 12618, 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, 32522, 29698, 281, 6008, 1359, 3776, 10158, 3414, 3778, 2439, 5970, 596, 2479, 16545, 1018, 621, 1131, 581, 899, 547, 13743, 2066, 519, 5318, 5836, 267, 12423, 1007, 3338, 543, 25884, 1114, 4529, 286, 1280, 5553, 267, 12703, 17701, 1305, 856, 593, 9635, 547, 2263, 17946, 14975, 7297, 267, 13461, 593, 12445, 7405, 547, 3391, 741, 1259, 269, 1452, 2645, 941, 1898, 585, 8159, 4087, 267, 4287, 267, 543, 3845, 14612, 1282, 4262, 16831, 1137, 269, 2913, 781, 7832, 593, 606, 7045, 998, 942, 543, 1451, 827, 930, 4241, 562, 27658, 1884, 2294, 543, 2445, 17156, 1107, 12445, 7405, 2439, 6524, 649, 4685, 883, 1808, 3457, 267, 1577, 781, 1174, 875, 25501, 4044, 730, 1354, 2413, 2029, 3576, 936, 269, 1358, 16941, 593, 11287, 18477, 4703, 971, 607, 6801, 267, 10785, 267, 543, 519, 3141, 269, 1635, 15663, 519, 2990, 540, 891, 31676, 3615, 3448, 547, 741, 1378, 6077, 267, 789, 1223, 3313, 20173, 630, 333, 2180, 1606, 1926, 2990, 264, 543, 29978, 630, 324, 770, 29891, 2990, 1040, 901, 1505, 2838, 1585, 19782, 1190, 19269, 547, 2268, 7285, 543, 5173, 9883, 8308, 780, 3080, 971, 6293, 568, 519, 8330, 1503, 23042, 267, 1031, 676, 3504, 16380, 543, 29240, 1472, 476, 5611, 5084, 269, 898, 5654, 899, 513, 9764, 6676, 609, 31452, 1572, 620, 573, 3547, 7923, 547, 922, 4099, 269, 590, 841, 832, 4371, 909, 519, 4230, 1503, 23042, 1996, 519, 6607, 267, 26936, 835, 540, 519, 620, 573, 3547, 609, 513, 5182, 610, 519, 16880, 269, 2060, 29890, 7515, 267, 789, 1287, 7229, 741, 15820, 1657, 3047, 543, 6059, 741, 20173, 269, 5994, 23115, 856, 707, 10974, 1210, 1152, 5182, 2775, 543, 9511, 1107, 4992, 7168, 3579, 267, 1318, 2496, 5194, 1271, 1907, 568, 519, 9061, 16065, 267, 11827, 538, 519, 3735, 5664, 12698, 269, 5381, 547, 519, 4230, 1503, 23042, 855, 12863, 538, 1374, 267, 3444, 5234, 338, 2874, 540, 513, 11308, 5234, 609, 1940, 762, 4773, 1572, 1098, 1682, 7923, 13902, 569, 269, 1879, 3168, 2059, 519, 3259, 540, 519, 5234, 267, 25501, 17479, 519, 3617, 1098, 558, 865, 602, 621, 13988, 609, 1312, 519, 16880, 543, 513, 18477, 1560, 269, 25732, 519, 3845, 1063, 519, 3750, 543, 519, 1098, 558, 4847, 873, 547, 12337, 741, 20173, 269, 2052, 596, 4952, 2348, 11931, 2614, 3946, 547, 1899, 3388, 909, 9985, 1247, 27342, 6883, 1472, 593, 14299, 6853, 15798, 2496, 3086, 1577, 781, 2911, 827, 735, 13293, 1107, 1100, 267, 711, 1346, 6263, 22197, 12758, 3330, 938, 11442, 6517, 267, 855, 2864, 1804, 3283, 15841, 593, 6763, 1634, 607, 536, 4883, 8163, 269, 7216, 2261, 29794, 4362, 602, 1978, 10007, 267, 1631, 4857, 607, 11275, 1242, 4401, 7626, 267, 2141, 11329, 5087, 269, 4635, 713, 6240, 267, 789, 2813, 22315, 6486, 6825, 609, 8846, 543, 17735, 873, 1657, 513, 13549, 13735, 593, 1216, 610, 9187, 7627, 593, 513, 8930, 269, 1306, 519, 6928, 6410, 267, 519, 3556, 29352, 9935, 267, 3850, 25501, 547, 2226, 513, 3586, 16144, 269, 3807, 4605, 23376, 707, 10935, 1759, 593, 1141, 513, 13549, 2798, 2439, 7661, 267, 972, 616, 9076, 1218, 543, 694, 868, 1218, 1107, 811, 4359, 8747, 540, 519, 5892, 5018, 4230, 1503, 629, 525, 543, 3444, 5234, 338, 269, 21408, 1218, 4266, 1394, 547, 519, 476, 1626, 628, 2540, 543, 4183, 3368, 10580, 5258, 883, 5232, 269, 1530, 868, 1218, 267, 2919, 2663, 267, 30107, 2407, 10580, 543, 19141, 585, 4824, 6111, 269, 5637, 1450, 25501, 547, 2268, 7285, 1063, 18477, 4703, 543, 519, 16880, 609, 3152, 8856, 982, 4505, 2645, 269, 6056, 827, 3843, 547, 15378, 1507, 7285, 1210, 1175, 707, 4064, 282, 3833, 4101, 8197, 2439, 4322, 7415, 12445, 7405, 8118, 909, 2898, 1007, 10600, 585, 3408, 543, 6602, 269, 9453, 873, 267, 1082, 3140, 5515, 899, 18332, 19090, 610, 23849, 1723, 13005, 717, 4821, 1522, 2760, 723, 5887, 3293, 3564, 5432, 24528, 269, 1924, 1985, 942, 596, 1265, 3054, 575, 5074, 693, 519, 3781, 6607, 267, 3314, 782, 519, 27093, 20339, 945, 2909, 1386, 30217, 748, 12084, 11461, 9003, 676, 2470, 781, 4191, 543, 2241, 2943, 13085, 18563, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 24730, 1733, 531, 2917, 543, 2051, 518, 3805, 281, 634, 24553, 540, 18623, 1222, 454, 24730, 1733, 531, 2917, 543, 2051, 518, 3805, 281, 634, 24553, 540, 18623, 1222, 454, 3528, 3627, 12113, 985, 267, 7905, 9622, 7978, 267, 5062, 22913, 2160, 454, 24730, 1733, 531, 2917, 779, 1272, 17489, 1719, 538, 519, 12591, 540, 15656, 13177, 2051, 518, 3805, 3459, 267, 538, 7118, 652, 267, 950, 646, 729, 606, 15938, 693, 21674, 779, 2160, 630, 4350, 273, 268, 3374, 264, 609, 519, 2542, 538, 476, 4350, 274, 540, 3627, 12389, 8725, 8899, 525, 779, 634, 10003, 1677, 2473, 534, 611, 340, 281, 589, 5530, 538, 519, 18467, 540, 519, 22569, 1588, 630, 4572, 278, 1040, 634, 4395, 7371, 19991, 540, 519, 1101, 11785, 7160, 540, 713, 1433, 3568, 606, 14745, 540, 513, 7088, 2389, 1601, 539, 6928, 267, 5310, 267, 585, 2051, 518, 3805, 543, 585, 1733, 531, 2917, 267, 513, 3090, 540, 1480, 1272, 269, 3414, 519, 5822, 2622, 2782, 1733, 531, 2917, 10630, 593, 2051, 518, 3805, 945, 729, 6157, 2282, 1864, 538, 519, 1603, 540, 1010, 2112, 9954, 267, 585, 1383, 267, 538, 968, 289, 4490, 23694, 892, 799, 607, 594, 723, 6700, 538, 519, 1557, 593, 1733, 531, 2917, 779, 6965, 267, 3568, 519, 1482, 5722, 851, 2497, 607, 968, 763, 681, 830, 540, 519, 9147, 3057, 10719, 3034, 2005, 729, 1310, 519, 2112, 267, 2705, 267, 602, 6723, 1733, 531, 2917, 779, 13455, 7634, 540, 2051, 518, 3805, 779, 530, 686, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 28208, 566, 29698, 257, 607, 851, 540, 834, 3198, 2316, 27309, 1299, 23333, 28421, 2316, 13993, 2464, 1315, 23527, 1299, 21771, 1315, 715, 27658, 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, 3992, 827, 1373, 513, 1612, 531, 20235, 543, 2324, 593, 1483, 10040, 1876, 543, 8852, 256, 1411, 1522, 581, 11842, 1018, 782, 1346, 2462, 1913, 1611, 267, 865, 1577, 781, 2736, 621, 1524, 1927, 780, 20058, 267, 723, 596, 2479, 4862, 540, 17864, 286, 4270, 267, 1612, 531, 1122, 1023, 616, 899, 13930, 17864, 945, 948, 873, 856, 609, 741, 960, 269, 1358, 666, 798, 6266, 540, 1271, 4247, 267, 971, 607, 15388, 4031, 267, 12180, 6054, 267, 543, 6158, 547, 7218, 780, 3086, 267, 1577, 781, 2911, 827, 1483, 10040, 269, 1411, 4440, 917, 602, 713, 1797, 1919, 899, 8075, 267, 6306, 906, 267, 543, 2244, 269, 1809, 950, 649, 2161, 834, 9418, 10040, 1876, 2437, 649, 2811, 13288, 547, 519, 3652, 543, 6042, 827, 9140, 267, 9513, 267, 10519, 532, 267, 543, 26539, 891, 3601, 269, 1703, 616, 1082, 3656, 5773, 3238, 267, 543, 602, 781, 1141, 1612, 531, 1122, 1023, 2097, 538, 2439, 13640, 531, 1122, 1023, 2324, 538, 1483, 10040, 8852, 4217, 609, 3157, 899, 4543, 7218, 4444, 610, 6133, 3601, 269, 1280, 1383, 267, 789, 1522, 2638, 11731, 267, 2327, 602, 3388, 568, 16155, 2953, 267, 543, 3391, 7218, 998, 1957, 1740, 543, 21852, 269, 901, 2816, 3340, 9878, 2673, 3007, 547, 3877, 543, 1620, 1950, 4031, 780, 4131, 781, 1413, 693, 513, 9183, 547, 1294, 875, 1612, 531, 1122, 1023, 946, 741, 1983, 538, 1483, 10040, 8852, 1384, 5331, 707, 5172, 6512, 6499, 547, 4444, 513, 2679, 547, 2490, 883, 741, 1007, 2575, 18638, 256, 1306, 513, 1612, 531, 20235, 267, 596, 1131, 1101, 991, 547, 1451, 827, 519, 3959, 789, 1616, 547, 6718, 269, 3973, 267, 596, 1131, 2689, 1022, 4540, 11650, 610, 2152, 13615, 547, 519, 2679, 269, 8921, 267, 596, 1131, 948, 1711, 513, 4579, 585, 519, 9042, 267, 4180, 602, 782, 2556, 1344, 543, 20038, 616, 3769, 269, 7053, 267, 596, 1131, 1489, 707, 7817, 2429, 519, 1184, 676, 5329, 3950, 540, 21852, 267, 16460, 2055, 267, 543, 1818, 2386, 1169, 1900, 5205, 519, 1697, 3656, 5650, 780, 1103, 1840, 547, 7829, 8852, 267, 1612, 531, 1122, 1023, 1419, 1445, 593, 1808, 2127, 1369, 1483, 10040, 1876, 269, 2290, 1858, 568, 1572, 519, 834, 325, 27448, 543, 631, 26031, 6498, 1701, 8750, 532, 4016, 547, 3478, 2724, 585, 3785, 267, 1247, 631, 26031, 6763, 585, 631, 1120, 619, 543, 21733, 29792, 269, 1879, 4213, 19467, 610, 10536, 824, 3549, 267, 972, 616, 9748, 540, 3656, 9270, 269, 2334, 781, 1946, 2348, 9952, 1612, 531, 1122, 1023, 568, 1898, 9789, 344, 666, 948, 6330, 7294, 9388, 5473, 6634, 540, 6550, 2439, 2690, 3236, 267, 4952, 1079, 10509, 3549, 6430, 547, 6443, 4229, 269, 634, 1612, 531, 1122, 1023, 1131, 991, 547, 4983, 1312, 2754, 781, 7221, 267, 22440, 267, 543, 3656, 13800, 269, 30850, 267, 789, 1131, 8908, 909, 606, 6876, 24223, 9562, 2497, 267, 9021, 267, 543, 2883, 3344, 269, 1635, 3257, 713, 2629, 960, 3297, 519, 10207, 267, 1612, 531, 1122, 1023, 3565, 3648, 547, 3811, 1870, 12352, 2439, 6826, 5765, 513, 1612, 531, 20235, 21751, 538, 1483, 10040, 1876, 543, 8852, 666, 1291, 547, 606, 3078, 4876, 2407, 540, 3099, 543, 4161, 269, 1924, 2322, 593, 707, 3206, 1698, 267, 4685, 883, 1565, 811, 827, 4031, 543, 6042, 267, 543, 1205, 4712, 547, 1404, 606, 7533, 1909, 538, 5935, 2950, 543, 4213, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 8649, 3405, 774, 1515, 568, 606, 21133, 538, 519, 23654, 8257, 630, 293, 27448, 543, 631, 26031, 6498, 1916, 7712, 5412, 476, 1708, 271, 267, 2549, 3405, 814, 1044, 1443, 2358, 11639, 267, 9746, 3549, 630, 18485, 5177, 2861, 543, 3486, 264, 543, 1866, 267, 538, 4276, 609, 741, 12388, 619, 543, 4203, 29792, 267, 2671, 14516, 543, 13338, 12417, 267, 1895, 556, 6716, 31907, 267, 2508, 24597, 543, 5092, 21448, 267, 543, 2489, 9746, 6927, 563, 3891, 814, 1995, 2324, 5702, 609, 27428, 267, 2359, 6887, 267, 9746, 8804, 31548, 543, 538, 27440, 8480, 593, 3818, 2173, 11669, 1790, 895, 8852, 267, 543, 814, 15695, 7218, 538, 519, 2029, 267, 5663, 267, 1426, 543, 4235, 267, 1648, 267, 3318, 2533, 543, 552, 19645 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 18903, 667, 919, 274, 318, 277, 454, 258, 634, 4266, 4873, 476, 1015, 267, 476, 3422, 271, 2676, 258, 568, 2027, 1317, 950, 621, 568, 2854, 538, 519, 1739, 3898, 2676, 258, 519, 3923, 2053, 519, 1554, 11224, 519, 1032, 281, 476, 277, 270, 1015, 270, 2568, 454, 258, 5071, 513, 1982, 602, 12134, 519, 3593, 454, 258, 547, 4283, 513, 3923, 630, 514, 25948, 1106, 1070, 513, 1554, 267, 543, 513, 1079, 18251, 1032, 563, 258, 634, 1982, 1058, 1287, 3313, 2436, 454, 258, 519, 3923, 2053, 519, 1554, 11224, 519, 1032, 563, 258, 1403, 865, 267, 621, 1058, 4159, 513, 5048, 6031, 519, 4266, 568, 9059, 563, 258, 19227, 267, 621, 1058, 4159, 513, 5048, 6031, 519, 4266, 568, 711, 9059, 7531, 3698, 1292, 3890, 1384, 825, 3923, 25507, 9272, 3488, 11767, 3923, 538, 25948, 1106, 281, 1412, 4917, 825, 1554, 25507, 9272, 3488, 11767, 4266, 540, 1554, 281, 1412, 4917, 825, 1032, 25507, 9272, 3488, 11767, 1079, 18251, 1032, 281, 1412, 4917, 825, 9059, 284, 24629, 265, 1485, 454, 825, 952, 9059, 2525, 20204, 912, 1038, 1820, 3488, 763, 4266, 568, 9059, 5073, 825, 3116, 912, 1038, 1820, 3488, 763, 4266, 568, 711, 9059, 5073, 10852, 4590, 0, 258, 15510, 4578, 278, 268, 279, 454, 258, 2475, 16954, 1637, 17902, 3097, 258, 634, 3758, 3568, 519, 4571, 20204, 2551, 540, 519, 2136, 2276, 2676, 258, 538, 5215, 267, 1282, 519, 1296, 476, 4198, 271, 998, 476, 1960, 271, 563, 258, 634, 1101, 1899, 538, 519, 3758, 3568, 519, 2551, 585, 476, 4198, 271, 2676, 258, 519, 2034, 1899, 3568, 519, 2551, 585, 476, 4198, 272, 267, 543, 865, 8521, 563, 258, 3503, 513, 1982, 602, 14509, 519, 3758, 779, 9115, 883, 513, 1592, 563, 258, 634, 1982, 1058, 4159, 519, 1739, 1239, 912, 258, 634, 3328, 5993, 1689, 538, 2551, 1282, 519, 942, 1974, 454, 258, 634, 1032, 609, 519, 6574, 2333, 538, 2551, 1282, 519, 942, 1974, 454, 258, 634, 1032, 609, 519, 10545, 2333, 538, 2551, 1282, 519, 942, 1974, 692, 5814, 4351, 454, 3698, 1711, 18316, 10031, 825, 3758, 284, 13449, 3488, 4785, 16954, 1637, 17902, 12887, 342, 5073, 825, 585, 1899, 538, 2039, 263, 2412, 2187, 1038, 1297, 284, 12690, 27110, 263, 4968, 1822, 267, 12573, 1822, 994, 1038, 3758, 22182, 19304, 28840, 11924, 262, 315, 333, 5073, 825, 3758, 25379, 10797, 3698, 1292, 10031, 825, 1948, 22056, 18316, 4590, 825, 2551, 8217, 17342, 2639, 825, 3758, 284, 13449, 3488, 4785, 16954, 1637, 17902, 12887, 337, 5073, 8931, 672, 692, 10852, 4590, 0, 454, 3698, 1250, 318, 10090, 1807, 3799, 2187, 825, 585, 1775, 538, 2039, 3799, 2187, 1038, 10917, 284, 344, 1752, 1775, 454, 1038, 1820, 6600, 262, 16043, 495, 15159, 346, 31184, 348, 5073, 3097, 326, 284, 3240, 318, 10090, 1807, 263, 276, 994, 3097, 2745, 263, 10113, 14116, 4297, 1948, 27447, 24731, 271, 454, 2745, 263, 10113, 14116, 4297, 1948, 27447, 24731, 272, 692, 326, 815, 1250, 318, 10090, 1807, 263, 866, 994, 2745, 263, 10113, 14116, 4917, 2745, 263, 10113, 14116, 4917, 2745, 263, 10113, 14116, 4917, 2745, 263, 10113, 14116, 4917, 0, 26611, 23591, 24800, 19841, 341, 9226, 454, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 7042, 258, 476, 13601, 18998, 21211, 10429, 372, 454, 18743, 815, 27835, 4067, 9166, 1412, 313, 4673, 3299, 1412, 720, 9166, 476, 278, 8679, 258, 21211, 10429, 372, 420, 377, 361, 20992, 21211, 31033, 4970, 366, 454, 1598, 5560, 1112, 994, 258, 21211, 10429, 372, 23746, 23284, 420, 377, 361, 20992, 30317, 14756, 482, 454, 14654, 921, 5560, 1112, 994, 258, 21211, 10429, 372, 23746, 23284, 420, 377, 361, 20992, 30317, 14756, 482, 454, 14654, 921, 5560, 1112, 269, 11161, 15405, 258, 21211, 10429, 372, 420, 377, 361, 20992, 28578, 23989, 454, 4289, 5560, 1112, 994, 258, 21211, 10429, 372, 420, 377, 361, 20992, 28578, 23989, 454, 18743, 269, 11161, 692, 258, 476, 11590, 490, 18998, 18998, 30317, 14756, 482, 454, 339, 1575, 14352, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 277, 267, 278, 267, 279, 994, 258, 30317, 14756, 482, 420, 377, 361, 20992, 21211, 31033, 4970, 366, 454, 339, 1575, 14857, 1598, 1029, 4590, 258, 30317, 14756, 482, 420, 377, 361, 20992, 28578, 23989, 454, 4289, 6025, 1575, 994, 258, 30317, 14756, 482, 21251, 23746, 23284, 420, 377, 361, 20992, 21211, 10429, 372, 692, 258, 476, 4970, 487, 18998, 28578, 23989, 454, 333, 4548, 17342, 272, 267, 476, 274, 267, 476, 276, 267, 476, 278, 267, 476, 280, 267, 476, 1556, 267, 476, 1724, 30092, 258, 28578, 23989, 420, 377, 361, 20992, 21211, 31033, 4970, 366, 454, 1598, 25225, 994, 258, 28578, 23989, 420, 377, 361, 20992, 30317, 14756, 482, 454, 14654, 921, 25225, 994, 258, 28578, 23989, 21251, 23746, 23284, 420, 377, 361, 20992, 21211, 10429, 372, 692, 258, 13127, 505, 505, 18998, 21211, 31033, 4970, 366, 454, 1598, 6889, 263, 272, 267, 273, 267, 274, 264, 4840, 258, 21211, 31033, 4970, 366, 420, 377, 361, 20992, 30317, 14756, 482, 454, 14654, 921, 16216, 1998, 19304, 4917, 258, 21211, 31033, 4970, 366, 420, 377, 361, 20992, 28578, 23989, 454, 4289, 16216, 1998, 2891, 263, 272, 267, 273, 267, 274, 17983, 4917, 258, 21211, 31033, 4970, 366, 420, 377, 361, 20992, 21211, 10429, 372, 454, 1598, 272, 6889, 346, 262, 4067, 9166, 262, 331, 329, 336, 3299, 1412, 720, 9166, 2190, 348, 4840, 24834, 19304, 272, 264, 0, 258, 256, 1315, 23591, 24800, 19841, 341, 9226, 454, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 7042, 258, 10254, 358, 17958, 25913, 26266, 362, 28098, 30006, 498, 4970, 353, 19764, 510, 18713, 378, 29830, 485, 7511, 26266, 362, 19764, 480, 692, 5228, 623, 6579, 1104, 12005, 454, 258, 383, 488, 382, 373, 383, 497, 12728, 382, 369, 383, 504, 383, 486, 383, 377, 6440, 16006, 382, 379, 5889, 28462, 23263, 303, 650, 578, 454, 5814, 2979, 454, 5814, 11346, 454, 5228, 1187, 551, 8962, 1104, 2569, 692, 13548, 272, 284, 15862, 269, 13449, 3488, 290, 2517, 5825, 619, 2260, 3849, 3439, 15249, 2260, 5327, 330, 9008, 2260, 420, 482, 504, 10951, 361, 24757, 10524, 370, 2260, 1556, 26666, 5073, 13548, 274, 284, 15862, 269, 13449, 3488, 290, 2517, 5825, 619, 2260, 3849, 3439, 15249, 2260, 5327, 330, 9008, 2260, 420, 482, 504, 10951, 361, 24757, 10524, 370, 2260, 2420, 26666, 5073, 258, 4113, 383, 495, 383, 491, 26528, 383, 493, 10722, 382, 370, 383, 498, 383, 493, 6759, 9943, 382, 359, 14872, 14872, 383, 492, 382, 359, 383, 500, 22144, 6440, 16006, 383, 491, 26528, 383, 488, 383, 377, 382, 378, 383, 507, 28462, 12953, 21485, 19508, 383, 498, 383, 504, 4289, 554, 272, 382, 350, 10634, 327, 273, 3331, 500, 383, 494, 454, 327, 272, 284, 13548, 272, 269, 7290, 6945, 4590, 327, 273, 284, 13548, 274, 269, 7290, 6945, 10797, 14310, 815, 2979, 28460, 263, 516, 706, 576, 263, 28072, 14491, 267, 476, 1592, 9852, 777, 10857, 10033, 513, 14720, 281, 630, 320, 1532, 264, 1262, 273, 267, 554, 272, 267, 554, 273, 4297, 8358, 6352, 22607, 272, 264, 476, 9239, 2745, 31114, 994, 258, 14310, 382, 369, 383, 482, 383, 500, 382, 369, 383, 498, 16006, 21485, 6759, 28462, 12953, 383, 489, 382, 369, 12728, 383, 371, 383, 479, 16006, 383, 499, 29967, 382, 369, 383, 482, 11054, 383, 362, 22144, 32244, 383, 498, 16006, 21485, 6759, 28462, 14872, 383, 486, 9809, 382, 373, 383, 375, 14310, 284, 271, 267, 383, 498, 383, 366, 383, 489, 382, 369, 12728, 383, 371, 383, 479, 16006, 383, 499, 30755, 383, 491, 26528, 383, 496, 14872, 383, 482, 28462, 383, 496, 14872, 383, 495, 383, 373, 0, 2745, 28361, 333, 10501, 810, 595, 328, 17845, 333, 25556, 632, 667, 15606, 910, 8750, 3512, 657, 5124, 910, 5903, 28294, 1637, 14826, 13129, 281, 962, 19834, 910, 3436, 476, 5124, 476, 274, 14691, 20861, 9847, 4179, 2517, 4178, 28938, 2593, 11320, 2255, 286, 341, 284, 299, 308, 334, 298, 15238, 298, 276, 342, 764, 14826, 325, 1716, 663, 565, 340, 1143, 322, 287, 326, 21166, 2593, 14826, 5073, 2745, 3488, 8512, 324, 476, 272, 281, 1422, 333, 5073, 2745, 3488, 8512, 324, 476, 273, 281, 1422, 333, 5073, 2745, 3488, 8512, 324, 476, 274, 281, 1422, 333, 5073, 2745, 3488, 8512, 324, 476, 275, 281, 1422, 333, 17210, 258, 5785, 8894, 258, 955, 268, 3487, 324, 476, 272, 476, 2411, 734, 8894, 2745, 3488, 14343, 9339, 315, 333, 1366, 734, 3487, 324, 476, 272, 10900, 955, 315, 333, 17210, 692, 343, 815, 1496, 272, 267, 273, 267, 274, 267, 275, 267, 277, 267, 276, 267, 275, 267, 3451, 267, 3451, 267, 3451, 267, 277, 267, 278, 267, 278, 267, 278, 267, 278, 267, 278, 316, 1948, 595, 686, 18372, 19804, 17022, 528, 267, 30458, 4018, 20960, 692, 2745, 3287, 264, 3097, 2745, 28361, 333, 28269, 10098, 27089, 281, 3299, 343, 314, 271, 3910, 262, 19575, 24982, 27089, 281, 3299, 343, 15631, 272, 8079, 1948, 1955, 27146, 785, 334, 1130, 2803, 13005, 30458, 267, 17022, 528, 269, 744, 6305, 10098, 552, 522, 3706, 24982, 454, 2745, 28361, 333, 23797, 657, 3693, 657, 267, 512, 16120, 14833, 13005, 30458, 270, 23439, 528, 281, 3299, 6352, 3287, 4917, 2745, 28361, 333, 303, 657, 328, 23843, 798, 6305, 10098, 3693, 334, 28075, 783, 513, 476, 1789, 14255, 30458, 282, 23439, 528, 281, 3299, 343, 28827, 263, 3451, 4917, 2745, 28361, 333, 303, 657, 328, 23843, 798, 6305, 10098, 3693, 334, 28075, 783, 513, 476, 1789, 14255, 30458, 282, 23439, 528, 1303, 516, 15259, 1130, 2803, 476, 271, 552, 476, 1626, 281, 3299, 343, 28827, 263, 3451, 267, 271, 267, 1626, 4917, 2745, 28361, 333, 303, 657, 328, 23843, 798, 6305, 10098, 3693, 334, 28075, 783, 513, 476, 1789, 14255, 30458, 282, 23439, 528, 1303, 516, 15259, 1130, 2803, 476, 279, 552, 476, 1626, 281, 3299, 343, 28827, 263, 3451, 267, 279, 267, 1626, 4917, 2745, 28361, 333, 303, 657, 328, 23843, 798, 6305, 10098, 3693, 334, 28075, 783, 513, 476, 1789, 14255, 30458, 282, 23439, 528, 1303, 516, 15259, 1130, 2803, 476, 280, 552, 476, 1626, 281, 3299, 343, 28827, 263, 3451, 267, 280, 267, 1626, 4297, 1948, 29439, 984, 337, 785, 334, 513, 1064, 328, 23843, 632, 1130, 2803, 1965, 29347, 6403, 325, 545, 657, 14255, 30458, 267, 23439, 528, 269, 27297, 6446, 1609, 320, 1187, 23843, 454, 258, 550, 2958, 320, 1474, 25366, 513, 1064, 328, 23843, 13005, 6305, 4275, 1654, 345, 7117, 1605, 3284, 732, 576, 269, 1290, 334, 513, 1187, 23843, 546, 5451, 513, 1502, 321, 559, 573, 1228, 632, 2512, 541, 593, 1372, 844, 518, 454, 258, 6446, 694, 538, 545, 773, 552, 2165, 710, 513, 1668, 8619, 267, 20527, 1502, 6403, 767, 3352, 679, 4186, 8681, 334, 607, 1064, 328, 9809, 383, 369, 525, 454, 2745, 28361, 333, 23797, 553, 1654, 8240, 522, 476, 278, 3284, 732, 576, 267, 20527, 10221, 18480, 14255, 30458, 267, 23439, 528, 281, 3299, 343, 29644, 263, 278, 4297, 1948, 29439, 984, 337, 785, 334, 3067, 553, 1654, 8240, 19804, 27089, 20527, 10221, 18480, 14255, 30458, 267, 23439, 528, 7531, 258, 5785, 8894, 258, 955, 268, 3487, 324, 476, 273, 476, 2411, 734, 8894, 2745, 28361, 333, 14343, 9339, 315, 333, 1366, 734, 3487, 324, 476, 273, 10900, 955, 315, 333, 17210, 343, 6910, 263, 273, 264, 1948, 1520, 322, 542, 18372, 19804, 27089, 14255, 30458, 270, 23439, 528, 267, 1965, 572, 27089, 1583, 5451, 740, 20601, 5964, 513, 334, 3803, 3097, 2745, 3287, 994, 2745, 28361, 333, 23797, 657, 3693, 657, 267, 512, 16120, 14833, 13005, 30458, 270, 23439, 528, 281, 3299, 6352, 3287, 4917, 343, 27044, 263, 273, 267, 1428, 264, 1948, 1520, 20601, 18372, 19804, 27089, 14255, 30458, 270, 23439, 528, 267, 1965, 572, 27089, 1583, 5451, 740, 20601, 5964, 14255, 1064, 328, 23843, 2512, 3385, 269, 744, 7034, 12727, 476, 1428, 14255, 1064, 328, 23843, 1535, 314, 273, 24557, 274, 454, 2745, 28361, 333, 3299, 343, 994, 2745, 28361, 333, 23797, 657, 3693, 657, 267, 512, 16120, 14833, 13005, 30458, 270, 23439, 528, 281, 3299, 6352, 3287, 4917, 343, 31927, 263, 274, 264, 1948, 3816, 990, 754, 334, 19804, 27089, 14255, 30458, 270, 23439, 528, 267, 1965, 572, 27089, 1583, 5451, 740, 20601, 5964, 14255, 1064, 328, 23843, 2512, 3385, 269, 744, 7034, 12727, 1064, 328, 23843, 1535, 314, 273, 24557, 274, 454, 2745, 28361, 333, 3299, 343, 994, 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 ]

[ 277, 267, 1210, 519, 1449, 540, 8954, 2225, 676, 476, 277, 281, 476, 5655, 267, 476, 13893, 267, 476, 5197, 267, 476, 28670, 267, 476, 14444, 269, 1496, 2171, 917, 519, 3652, 540, 8954, 2225, 676, 476, 273, 267, 952, 519, 1770, 779, 1747, 540, 519, 1297, 568, 2901, 476, 271, 610, 2789, 540, 476, 273, 4940, 476, 5655, 568, 16883, 676, 476, 273, 269, 4595, 519, 1770, 1747, 568, 476, 273, 799, 568, 16883, 676, 476, 273, 780, 3918, 4696, 9338, 12569, 281, 5231, 1548, 6620, 616, 1031, 538, 552, 1260, 12692, 2496, 2162, 1215, 1082, 476, 275, 18251, 2338, 666, 581, 4646, 1210, 519, 9704, 2496, 30043, 13707, 1297, 540, 2081, 547, 1106, 476, 275, 18251, 2338, 689, 2016, 9704, 815, 476, 276, 3199, 780, 2162, 1215, 1082, 476, 275, 18251, 2338, 616, 972, 2496, 12010, 271, 2185, 7857, 2338, 454, 293, 21788, 1107, 667, 5456, 3951, 715, 9331, 289, 8991, 616, 519, 2338, 602, 723, 2185, 9704, 267, 1775, 4318, 269, 789, 723, 3283, 267, 9937, 267, 7366, 543, 5215, 4025, 269, 769, 1249, 267, 547, 1265, 519, 1297, 540, 2338, 1063, 1022, 1079, 2016, 2338, 267, 649, 946, 519, 1482, 4542, 269, 4475, 267, 972, 616, 476, 12010, 271, 2185, 7857, 2338, 538, 782, 780, 1692, 1082, 2338, 616, 972, 538, 513, 476, 275, 18251, 1297, 2496, 2467, 616, 476, 275, 2338, 630, 1415, 1297, 689, 476, 271, 268, 280, 264, 538, 513, 476, 275, 18251, 1297, 269, 1703, 616, 476, 12010, 271, 2185, 7857, 2338, 538, 782, 780, 1432, 568, 519, 10545, 476, 275, 18251, 1297, 538, 519, 1158, 2496, 763, 10545, 2185, 18251, 1297, 267, 1210, 782, 1114, 9704, 267, 568, 476, 9083, 274, 269, 634, 10545, 2185, 18251, 1297, 267, 1210, 1152, 835, 18251, 568, 476, 272, 267, 9340, 269, 634, 10545, 2185, 18251, 1297, 267, 1210, 1079, 1114, 9704, 568, 476, 272, 267, 1822, 269, 630, 272, 267, 1822, 568, 519, 2547, 2185, 18251, 1297, 1932, 1040, 0, 258, 795, 18191, 1868, 270, 4118, 692, 5472, 1250, 2979, 4967, 267, 1631, 538, 19673, 780, 8698, 519, 5741, 593, 27707, 29878, 795, 18191, 1868, 270, 4118, 692, 258, 4223, 4631, 692, 1012, 10417, 1302, 692, 12385, 4631, 540, 519, 1482, 2450, 666, 581, 3773, 543, 10208, 539, 1927, 267, 676, 4946, 610, 18946, 1142, 543, 1169, 7222, 3693, 780, 7445, 8218, 21421, 348, 476, 273, 1299, 476, 274, 1299, 476, 279, 11138, 476, 1321, 1299, 476, 279, 1299, 476, 276, 11138, 476, 273, 1299, 476, 280, 1299, 476, 277, 11138, 1422, 754, 21421, 348, 1341, 1422, 8218, 21421, 348, 476, 279, 1299, 476, 278, 1299, 476, 272, 11138, 476, 1015, 1299, 476, 866, 1299, 476, 274, 11138, 476, 278, 1299, 476, 276, 1299, 476, 273, 11138, 1422, 754, 21421, 348, 815, 1422, 8218, 21421, 348, 476, 1015, 1299, 476, 1015, 1299, 476, 280, 11138, 476, 2420, 1299, 476, 2767, 1299, 476, 279, 11138, 476, 280, 1299, 476, 1691, 1299, 476, 279, 11138, 1422, 754, 21421, 4151, 4399, 8218, 21421, 348, 476, 273, 1299, 476, 274, 1299, 476, 279, 11138, 476, 1321, 1299, 476, 279, 1299, 476, 276, 11138, 476, 273, 1299, 476, 280, 1299, 476, 277, 11138, 1422, 754, 21421, 348, 910, 1422, 8218, 21421, 348, 476, 279, 1299, 476, 278, 1299, 476, 272, 11138, 476, 1015, 1299, 476, 866, 1299, 476, 274, 11138, 476, 278, 1299, 476, 276, 1299, 476, 273, 11138, 1422, 754, 21421, 348, 815, 1422, 8218, 21421, 348, 910, 277, 1299, 910, 275, 1299, 476, 278, 11138, 476, 273, 1299, 910, 1556, 1299, 476, 273, 11138, 910, 276, 1299, 476, 275, 1299, 476, 275, 11138, 1422, 754, 21421, 10592, 1012, 2480, 531, 541, 18527, 692, 288, 5119, 666, 581, 26987, 909, 610, 1524, 267, 676, 14921, 1169, 3693, 540, 519, 5119, 676, 513, 22185, 780, 259, 276, 1422, 8218, 21421, 348, 476, 274, 1299, 476, 277, 11138, 476, 278, 1299, 476, 280, 11138, 476, 1321, 1299, 476, 274, 11138, 1422, 754, 21421, 348, 815, 1422, 8218, 21421, 348, 476, 1428, 1299, 476, 1789, 11138, 476, 3374, 1299, 476, 3393, 11138, 476, 2568, 1299, 476, 1428, 11138, 1422, 754, 21421, 10592, 1012, 19336, 18527, 692, 10521, 14290, 267, 540, 8795, 2450, 666, 581, 16611, 1927, 267, 676, 2921, 519, 12297, 1587, 540, 1142, 4737, 540, 519, 1101, 543, 1142, 6241, 540, 519, 2034, 780, 4322, 14290, 1590, 581, 968, 692, 1892, 602, 568, 267, 519, 8700, 540, 835, 1590, 581, 519, 4463, 540, 519, 824, 267, 543, 1471, 17930, 780, 763, 1184, 585, 713, 568, 547, 9062, 1142, 3693, 538, 1142, 4737, 540, 519, 1101, 5119, 676, 1142, 3693, 538, 1142, 6241, 540, 519, 2034, 267, 543, 1039, 519, 2164, 1927, 780, 259, 21982, 315, 519, 315, 29961, 315, 8605, 259, 4399, 8218, 21421, 348, 1422, 10233, 346, 1042, 2410, 272, 348, 1299, 1422, 10233, 346, 1042, 2410, 273, 348, 1299, 1422, 10233, 346, 1042, 2410, 274, 27874, 476, 275, 1299, 476, 276, 1299, 476, 277, 11138, 1422, 754, 21421, 348, 1422, 8218, 21421, 348, 1422, 10233, 346, 19990, 2410, 278, 348, 1299, 476, 279, 11138, 1422, 10233, 346, 19990, 2410, 280, 348, 1299, 476, 1015, 11138, 1422, 10233, 346, 19990, 2410, 1556, 348, 1299, 476, 1321, 11138, 1422, 754, 21421, 348, 815, 1422, 8218, 21421, 348, 1422, 10233, 346, 20580, 921, 2410, 6812, 348, 1299, 476, 5038, 11138, 476, 16928, 1299, 476, 15150, 11138, 1422, 754, 21421, 4151, 18159, 272, 7565, 278, 264, 1341, 630, 273, 7565, 280, 264, 1341, 630, 274, 7565, 1556, 264, 815, 476, 6812, 6911, 763, 4611, 5119, 786, 723, 519, 4463, 540, 519, 1101, 5119, 267, 543, 519, 8700, 540, 519, 2034, 780, 2162, 6348, 268, 5570, 583, 18356, 692, 30467, 8691, 568, 711, 862, 32477, 269, 1269, 314, 288, 6012, 289, 316, 259, 949, 1269, 284, 1496, 290, 316, 8961, 855, 1269, 314, 289, 6012, 288, 316, 259, 568, 711, 8078, 730, 547, 1269, 17342, 290, 316, 16859, 2162, 20518, 583, 2032, 692, 7212, 5119, 8691, 568, 1875, 268, 5570, 32477, 267, 621, 1281, 1832, 519, 2733, 32477, 3959, 780, 2026, 692, 1432, 1269, 314, 288, 6012, 289, 316, 259, 4564, 281, 798, 7004, 1269, 289, 8961, 1287, 7004, 1269, 288, 16859, 263, 5723, 264, 311, 815, 589, 16360, 311, 264, 0, 1012, 1323, 2561, 956, 3562, 5025, 653, 956, 18948, 540, 15525, 543, 17312, 692, 3383, 267, 519, 13864, 2557, 8593, 547, 476, 275, 269, 280, 260, 585, 5130, 269, 15525, 18793, 616, 538, 2407, 1350, 13331, 7154, 269, 5808, 666, 16620, 873, 286, 1284, 10093, 1406, 2938, 606, 13864, 2557, 713, 1970, 2094, 5988, 476, 1220, 279, 780, 2467, 779, 1175, 835, 1966, 2507, 692, 1432, 1419, 4422, 11389, 19959, 568, 519, 4074, 7589, 2557, 269, 898, 779, 1044, 19394, 630, 716, 1302, 267, 621, 779, 1044, 5594, 2810, 519, 2063, 1906, 3275, 855, 568, 1869, 1134, 2630, 1018, 621, 729, 950, 17312, 729, 538, 5604, 1040, 1306, 540, 19108, 267, 519, 4074, 7589, 2557, 267, 799, 2687, 519, 645, 11862, 568, 267, 968, 1492, 6871, 540, 519, 2551, 602, 568, 2901, 6964, 610, 32014, 630, 7474, 568, 267, 2901, 2324, 610, 8362, 5275, 960, 1040, 892, 1548, 1281, 602, 1611, 4010, 2496, 11039, 267, 1577, 779, 2161, 649, 723, 513, 4884, 540, 476, 272, 267, 1822, 1004, 269, 2913, 779, 2161, 602, 476, 12573, 1004, 538, 519, 4884, 5749, 1406, 2324, 1317, 789, 616, 2901, 19622, 610, 616, 3251, 27408, 25571, 3237, 269, 2334, 1797, 519, 4884, 779, 4074, 3196, 568, 476, 20981, 1004, 269, 634, 2979, 5654, 899, 713, 1384, 272, 267, 1822, 2551, 1107, 476, 12573, 1004, 945, 5749, 1406, 538, 519, 4074, 3196, 815, 476, 20981, 1004, 538, 519, 4074, 3196, 692, 3086, 1577, 779, 2161, 540, 519, 476, 20981, 1004, 538, 519, 4074, 3196, 267, 476, 7785, 723, 6009, 269, 2334, 1797, 476, 2004, 540, 873, 616, 32014, 269, 3776, 13864, 2557, 1131, 581, 476, 278, 269, 278, 260, 1384, 2004, 32014, 21680, 476, 20981, 4074, 3196, 815, 476, 278, 269, 278, 260, 13864, 2557, 692, 3086, 1577, 779, 2161, 3670, 3275, 1780, 543, 519, 1152, 1689, 568, 602, 476, 736, 540, 519, 5892, 32014, 1004, 2901, 4956, 547, 13166, 13649, 610, 3274, 4956, 789, 1100, 3476, 2877, 513, 2816, 269, 634, 4074, 3196, 1131, 6749, 547, 476, 30697, 1004, 269, 1403, 519, 1297, 540, 6964, 1004, 18423, 519, 1482, 693, 476, 7785, 267, 519, 1297, 540, 32014, 1131, 6749, 547, 476, 1789, 269, 634, 1007, 13864, 2557, 1131, 581, 476, 275, 269, 279, 260, 1384, 1789, 32014, 21680, 476, 30697, 4074, 3196, 815, 476, 275, 269, 279, 260, 13864, 2557, 692, 301, 5847, 2731, 4957, 4849, 875, 519, 1004, 941, 18886, 269, 3767, 1832, 602, 538, 2247, 607, 649, 1413, 693, 519, 1739, 3349, 594, 2322, 1927, 1210, 2338, 689, 519, 645, 11862, 269, 594, 25653, 909, 519, 7694, 2338, 585, 5130, 476, 1220, 280, 630, 289, 2313, 779, 2063, 3923, 538, 5604, 264, 543, 726, 28289, 873, 883, 513, 22369, 2059, 609, 19108, 779, 7694, 2338, 269, 3973, 594, 14661, 519, 2338, 547, 2992, 519, 3017, 538, 519, 4074, 7589, 2557, 269, 1548, 594, 1336, 729, 4277, 780, 15368, 1227, 267, 1018, 649, 666, 1491, 689, 519, 1657, 8642, 568, 713, 1384, 763, 1152, 3017, 1063, 5518, 15525, 779, 2338, 543, 5518, 17312, 779, 2338, 568, 519, 1689, 538, 519, 4074, 7589, 2557, 780, 1012, 6744, 4934, 22193, 23014, 5441, 779, 13188, 476, 6200, 10022, 692, 1607, 568, 1390, 269, 898, 779, 1863, 267, 855, 789, 1131, 5660, 513, 21856, 269, 634, 960, 789, 616, 3257, 568, 1271, 780, 18794, 803, 538, 2469, 998, 741, 3126, 267, 13188, 476, 6200, 780, 1012, 1548, 568, 9791, 13852, 10979, 31201, 29247, 2496, 763, 2462, 3377, 538, 1250, 5449, 554, 32528, 568, 519, 1249, 602, 9791, 13852, 10979, 31201, 568, 6368, 2469, 1394, 593, 4558, 21684, 2221, 1310, 513, 5176, 1032, 17489, 9000, 1813, 547, 519, 2754, 779, 561, 3563, 807, 535, 5362, 1723, 2063, 1032, 780, 31094, 958, 267, 594, 6557, 711, 1932, 5461, 538, 11449, 4672, 8645, 689, 513, 2754, 602, 16053, 1072, 2152, 267, 855, 594, 2007, 816, 780, 12179, 6011, 267, 835, 540, 519, 8292, 593, 835, 540, 519, 3377, 10473, 594, 1246, 5018, 1945, 827, 875, 930, 8637, 616, 1631, 12123, 811, 585, 519, 4672, 8645, 982, 982, 789, 1705, 1354, 621, 729, 3144, 1055, 519, 2344, 269, 2290, 4807, 3773, 602, 8637, 941, 12123, 968, 3467, 982, 621, 568, 4502, 14325, 2108, 5415, 982, 621, 568, 4502, 892, 2496, 1432, 1281, 602, 1611, 2496, 8005, 16976, 1018, 1945, 568, 4502, 2496, 20578, 619, 798, 2439, 7212, 649, 949, 711, 899, 621, 267, 9791, 13852, 10979, 31201, 568, 4502, 1018, 1004, 786, 2628, 585, 621, 269, 1284, 666, 1406, 16620, 21625, 585, 16462, 547, 7443, 689, 3761, 543, 3747, 269, 14755, 267, 519, 957, 540, 9870, 5777, 786, 2965, 15658, 930, 1004, 689, 9140, 811, 982, 789, 1131, 693, 2539, 5777, 267, 6028, 811, 585, 1866, 269, 2334, 1259, 811, 1004, 666, 1205, 930, 9791, 13852, 10979, 31201, 780, 15371, 649, 899, 621, 610, 711, 267, 513, 3902, 12454, 4346, 7725, 780, 1012, 25477, 7797, 585, 5437, 476, 1001, 276, 692, 16729, 616, 519, 7694, 2338, 5950, 2063, 3018, 676, 519, 645, 11862, 585, 5437, 780, 3080, 4063, 281, 21518, 519, 4074, 7589, 2557, 519, 1482, 607, 621, 729, 950, 5518, 15525, 3576, 5604, 267, 519, 13864, 2557, 1131, 581, 476, 280, 269, 278, 9077, 711, 519, 476, 276, 260, 4867, 1373, 4080, 269, 3807, 1945, 547, 1589, 827, 780, 10387, 7877, 23063, 6672, 1107, 5437, 476, 1001, 276, 454, 22261, 268, 1691, 9484, 268, 1428, 4239, 268, 1428, 8734, 268, 1428, 454, 290, 2753, 1014, 1875, 13318, 6627, 2551, 476, 27886, 267, 279, 4510, 476, 25172, 267, 23283, 476, 25172, 267, 276, 6078, 476, 25172, 267, 278, 5325, 454, 290, 2753, 1014, 4074, 3196, 476, 14444, 267, 29710, 476, 14444, 267, 278, 1428, 476, 14991, 267, 271, 2764, 476, 14991, 267, 22145, 454, 27396, 566, 2557, 476, 7830, 269, 280, 260, 476, 7830, 269, 275, 260, 476, 7830, 269, 275, 260, 476, 7830, 269, 276, 14999, 10387, 23903, 476, 15704, 267, 28664, 476, 16825, 267, 8517, 476, 14983, 267, 6344, 476, 14983, 267, 3607, 275, 454, 10387, 7877, 1790, 641, 1637, 5223, 476, 6795, 269, 273, 260, 476, 6795, 269, 273, 260, 476, 6795, 269, 274, 260, 476, 6795, 269, 274, 14999, 4462, 655, 23903, 476, 280, 267, 5881 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1543, 2047, 269, 0, 3848, 476, 280, 281, 4197, 3776, 21210, 3590, 281, 634, 8111, 12516, 525, 18738, 2974, 2439, 5970, 596, 2479, 9289, 875, 938, 1560, 24515, 1055, 17900, 543, 8952, 721, 2635, 286, 4270, 267, 621, 781, 782, 7064, 547, 938, 4761, 1062, 910, 513, 1895, 540, 2281, 267, 8031, 267, 543, 8219, 602, 960, 1927, 547, 2149, 938, 1560, 689, 5739, 28164, 899, 4551, 267, 8290, 267, 543, 15495, 780, 13914, 540, 707, 4761, 1062, 607, 513, 2319, 540, 27568, 267, 1142, 609, 741, 1378, 2027, 7060, 269, 2290, 540, 1346, 27568, 568, 1572, 606, 834, 9404, 684, 6048, 257, 910, 2576, 945, 2090, 519, 4761, 1062, 543, 922, 3252, 269, 4653, 267, 649, 2811, 2469, 547, 2743, 1079, 6909, 6375, 5505, 945, 723, 6131, 741, 2729, 547, 1620, 875, 938, 4703, 4339, 1055, 5563, 543, 3676, 780, 25603, 3220, 269, 24910, 267, 606, 4274, 538, 24684, 543, 9431, 12602, 269, 3220, 269, 24910, 22939, 1010, 2395, 2324, 609, 3744, 267, 7189, 267, 543, 2229, 8041, 547, 2327, 602, 1007, 2564, 5574, 543, 3457, 616, 2922, 543, 2500, 585, 3025, 269, 1261, 781, 2523, 5461, 538, 3384, 4255, 543, 2645, 602, 666, 948, 13209, 543, 1521, 10108, 5488, 543, 811, 8308, 780, 3080, 1259, 3220, 269, 24910, 1281, 713, 568, 676, 4974, 1945, 1572, 834, 299, 1987, 2218, 31603, 18873, 2437, 610, 31298, 25629, 585, 2110, 269, 1452, 616, 7463, 4255, 602, 22475, 1711, 547, 3713, 1808, 3676, 610, 2175, 269, 1635, 4570, 908, 891, 4255, 543, 3478, 873, 9516, 676, 9431, 8041, 267, 3220, 269, 24910, 2337, 2327, 602, 2550, 1205, 4977, 2164, 543, 3617, 2126, 780, 3086, 1577, 781, 2743, 1776, 5863, 6375, 6048, 267, 3220, 269, 700, 27232, 2006, 534, 590, 999, 327, 269, 1306, 513, 4604, 2275, 1068, 1881, 5711, 543, 3193, 650, 1993, 18432, 2619, 6048, 543, 8047, 6375, 6048, 267, 3220, 269, 590, 999, 327, 568, 606, 4274, 538, 23235, 3676, 602, 1860, 519, 5023, 267, 10265, 267, 543, 3068, 269, 1261, 3096, 5969, 12967, 2029, 543, 2553, 547, 1353, 5160, 5439, 543, 2697, 1022, 17244, 610, 4191, 540, 2068, 780, 3719, 602, 781, 711, 782, 256, 3220, 269, 590, 999, 327, 568, 849, 5595, 1532, 13635, 14468, 538, 8047, 6375, 1108, 267, 799, 1797, 646, 781, 606, 4274, 538, 875, 938, 4761, 1062, 20781, 547, 6937, 269, 1635, 9256, 1010, 6791, 538, 1312, 4610, 267, 3220, 269, 590, 999, 327, 666, 1020, 1732, 10368, 2645, 543, 11257, 585, 2550, 609, 1950, 2564, 2175, 780, 3383, 1946, 568, 621, 1271, 585, 1647, 30595, 899, 9358, 547, 1451, 827, 6375, 1108, 286, 4270, 267, 1620, 875, 938, 4761, 1062, 1568, 666, 7668, 596, 547, 1491, 5279, 540, 707, 1072, 543, 1118, 5483, 3664, 827, 707, 6197, 543, 3782, 5079, 269, 9578, 267, 1565, 827, 3579, 11678, 899, 6375, 1108, 666, 8300, 596, 547, 11654, 707, 18653, 543, 1118, 513, 3017, 538, 519, 1158, 2439, 12244, 5384, 281, 2913, 781, 27642, 649, 2811, 6375, 5505, 585, 513, 1554, 256, 4635, 2241, 7622, 3688, 630, 3697, 12508, 267, 4070, 1957, 267, 23805, 1070, 1711, 513, 3308, 6041, 540, 707, 1360, 1378, 834, 27273, 12516, 257, 4761, 1591, 269, 12315, 621, 513, 2012, 267, 4766, 922, 2027, 7060, 267, 543, 2491, 875, 621, 2337, 1832, 707, 1560, 2635, 269, 5213, 1405, 7340, 547, 2671, 707, 5137, 609, 513, 3659, 610, 1920, 4759, 543, 4001, 873, 1018, 596, 4121, 827, 6375, 1108, 2221, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 16775, 299, 5004, 12243, 454, 298, 5271, 514, 568, 606, 12913, 24684, 10324, 609, 23773, 1995, 7114, 543, 2679, 1871, 538, 9621, 1007, 4066, 998, 10319, 24416, 543, 4835, 2596, 1382, 269, 11554, 5702, 609, 9431, 8128, 693, 782, 2157, 281, 13623, 540, 1072, 267, 15111, 543, 3486, 4703, 267, 646, 814, 9141, 1646, 267, 9431, 24999, 543, 5010, 1436, 540, 3875, 3209, 4704, 8047, 4255, 543, 10001, 17762, 538, 519, 2475, 543, 1964, 540, 1158, 269, 1261, 568, 3743, 585, 15418, 543, 13170, 540, 1082, 31298, 25629, 543, 476, 27944, 330, 540, 811, 982, 476, 2004, 29508, 543, 2564, 3457, 563, 6369, 16775, 295, 7246, 2793, 301, 590, 7838, 2464, 295, 267, 667, 9169, 267, 9049, 267, 12854, 454, 7804, 269, 590, 999, 327, 568, 513, 1158, 11665, 10196, 609, 3376, 1995, 538, 5711, 6391, 267, 6375, 1108, 267, 26129, 543, 21454, 269, 1261, 568, 4604, 2275, 1068, 1881, 538, 17327, 543, 7665, 650, 1993, 18432, 11202, 1108, 676, 519, 1977, 8274, 540, 17327, 543, 7665, 650, 1993, 18432, 11202, 1108, 269, 1261, 568, 849, 4604, 11725, 730, 538, 12524, 16332, 1108, 676, 1977, 8274, 540, 6481, 12524, 16332, 1108, 269, 1261, 814, 30363, 3875, 1857, 520, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 3412, 22861, 1108, 257, 607, 851, 540, 834, 25503, 1315, 13129, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 769, 713, 1576, 1770, 267, 649, 786, 5490, 883, 519, 1950, 1184, 540, 4182, 20671, 998, 519, 7828, 540, 3486, 1894, 543, 2797, 2257, 269, 634, 1523, 540, 4182, 20671, 4016, 547, 519, 1184, 540, 2870, 513, 23887, 543, 7123, 3084, 3961, 543, 2797, 2497, 1369, 513, 8513, 269, 901, 3322, 1585, 3344, 971, 607, 1533, 20671, 267, 9872, 20671, 267, 543, 11180, 10350, 269, 1284, 786, 2263, 891, 2035, 1247, 7421, 606, 4277, 2013, 1353, 1107, 519, 3798, 1088, 1788, 676, 519, 16110, 16359, 7577, 269, 4014, 621, 949, 3100, 20775, 547, 4182, 20671, 693, 1101, 16145, 267, 713, 1383, 3091, 3407, 4030, 883, 875, 6469, 6214, 543, 3375, 6194, 666, 1764, 1804, 8397, 3785, 543, 741, 4093, 780, 13750, 20671, 281, 2311, 922, 4295, 267, 1533, 20671, 14122, 9591, 6198, 2229, 5238, 5827, 540, 3246, 1898, 2533, 543, 4509, 1931, 269, 3557, 4390, 568, 2629, 585, 4180, 3354, 267, 12419, 1514, 2533, 267, 5883, 2200, 267, 543, 5807, 2804, 1646, 269, 769, 938, 2013, 1353, 267, 4352, 519, 16110, 16359, 7577, 1185, 1713, 4853, 7207, 267, 621, 26218, 519, 2556, 1533, 6438, 3252, 2838, 547, 6707, 10131, 543, 4383, 519, 3798, 1088, 1788, 269, 1452, 3252, 3769, 2500, 2792, 267, 11558, 1063, 13623, 267, 13916, 547, 2344, 2242, 267, 543, 12905, 3210, 547, 7082, 5955, 269, 1306, 513, 1267, 267, 519, 2754, 8959, 547, 1711, 513, 1587, 602, 6949, 730, 609, 6800, 685, 7375, 267, 3056, 547, 2883, 9271, 780, 9743, 3191, 20671, 281, 30543, 616, 1949, 540, 3652, 267, 11268, 6127, 267, 543, 8155, 602, 3337, 1480, 2623, 543, 5872, 269, 16200, 5238, 3895, 12477, 267, 11413, 267, 543, 3972, 1851, 8639, 269, 1717, 267, 2679, 7347, 5238, 3217, 942, 543, 4674, 269, 769, 519, 16110, 1383, 267, 4617, 12250, 3889, 3366, 547, 3765, 23890, 1063, 1114, 6887, 3238, 538, 8888, 543, 6725, 519, 3798, 1088, 269, 3958, 267, 1283, 26933, 20495, 547, 3715, 2312, 4808, 585, 5464, 2773, 543, 15268, 2994, 1759, 593, 6075, 6547, 269, 9182, 267, 519, 11036, 11124, 1813, 547, 20849, 14422, 543, 4057, 11056, 780, 20779, 7095, 10350, 281, 14891, 10350, 5849, 7589, 267, 6041, 267, 543, 13784, 538, 13422, 1136, 3157, 269, 2755, 4357, 14078, 899, 16110, 798, 711, 14553, 1246, 11180, 3741, 267, 6220, 2609, 540, 22371, 543, 5698, 666, 1291, 547, 4824, 3375, 6194, 269, 1280, 3236, 267, 5473, 5520, 543, 5561, 538, 1883, 3664, 1522, 723, 5280, 519, 2754, 2057, 930, 25354, 2404, 609, 519, 3798, 1088, 1788, 269, 5047, 267, 2502, 5007, 4966, 1223, 723, 3177, 4195, 5380, 543, 15286, 1202, 983, 3206, 1369, 2359, 10580, 269, 1635, 8508, 10319, 2853, 267, 3906, 666, 3986, 741, 2702, 547, 4431, 3927, 547, 2591, 543, 11574, 4220, 780, 21010, 532, 519, 2250, 609, 519, 1459, 281, 16497, 6537, 689, 3140, 2665, 2611, 4143, 538, 4207, 5717, 4478, 4182, 20671, 543, 2518, 12602, 269, 3807, 607, 16110, 17388, 547, 1628, 513, 3811, 18914, 6216, 1510, 1697, 1533, 20671, 267, 9872, 20671, 267, 543, 11180, 10350, 267, 2413, 6082, 3068, 2147, 23665, 950, 12394, 547, 7794, 741, 2797, 1949, 543, 6536, 14227, 3356, 269, 14301, 6667, 689, 1967, 2984, 543, 1565, 689, 14286, 2337, 721, 2697, 1655, 2853, 543, 1761, 19363, 538, 1585, 4485, 547, 4182, 20671, 780, 1103, 3932, 267, 6313, 519, 3798, 1088, 1788, 2488, 16367, 4245, 827, 519, 2956, 540, 2178, 5238, 267, 3608, 1533, 4390, 267, 543, 8537, 3375, 6194, 3157, 538, 8236, 5551, 3853, 269, 4197, 891, 6384, 8309, 547, 3384, 1134, 25454, 2797, 3744, 945, 666, 5659, 543, 2232, 10296, 2591, 6849, 2829, 543, 7239, 1472, 519, 1158, 269, 16792, 891, 2035, 9691, 6087, 721, 547, 6218, 5571, 3646, 6322, 693, 5009, 6617, 267, 13884, 267, 543, 4708, 2066, 3309, 10923, 543, 2686, 5468, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 12024, 1034, 538, 4647, 2947, 8874, 676, 535, 1042, 15104, 5923, 17507, 5707, 19107, 1165, 15533, 1164, 1153, 10304, 1164, 1153, 13797, 1857, 8027, 267, 789, 1131, 581, 16798, 8658, 540, 3119, 267, 4052, 30268, 693, 519, 6032, 269, 540, 7965, 269, 476, 4375, 282, 970, 10407, 622, 2427, 23316, 538, 1360, 3173, 269, 476, 4375, 282, 5502, 1577, 8345, 693, 519, 16855, 2588, 538, 811, 8431, 269, 538, 519, 4470, 1239, 267, 1831, 922, 14860, 593, 5177, 20545, 2221, 1040, 1152, 267, 972, 1705, 7662, 602, 16855, 3690, 13905, 1095, 3660, 1869, 5701, 547, 2661, 693, 1732, 2152, 547, 1459, 1271, 9664, 269, 476, 276, 5952, 24340, 23809, 11386, 10104, 303, 6652, 611, 5811, 267, 2871, 24473, 12676, 263, 476, 1220, 277, 264, 10241, 543, 5830, 540, 7803, 3909, 19928, 12781, 538, 4647, 2947, 8874, 676, 535, 1042, 15104, 5923, 17507, 5707, 19107, 946, 9263, 269, 5458, 543, 2565, 8567, 602, 814, 519, 30931, 540, 9073, 543, 17600, 883, 519, 4276, 540, 623, 269, 8361, 16110, 4083, 543, 519, 5461, 3609, 606, 540, 519, 1034, 25062, 7293, 4638, 22467, 1674, 538, 3044, 267, 519, 3798, 1088, 269, 1261, 729, 2614, 513, 2221, 540, 5450, 28351, 5370, 267, 610, 513, 2872, 540, 4400, 15494, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 623, 27773, 13316, 1315, 4139, 9534, 1315, 4937, 1315, 13780, 5174, 5648, 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, 4197, 14594, 26888, 998, 2558, 604, 956, 676, 19626, 3794, 5684, 749, 692, 5970, 596, 2479, 1224, 513, 1650, 5143, 998, 5022, 286, 901, 1826, 540, 5708, 568, 1572, 19815, 565, 776, 3332, 267, 1141, 519, 1650, 4652, 9529, 998, 2854, 19359, 971, 607, 5022, 267, 15737, 267, 19701, 13366, 267, 610, 11356, 804, 2089, 902, 269, 1677, 948, 721, 1174, 4484, 10070, 1732, 267, 1577, 781, 2263, 19626, 3794, 5684, 749, 781, 4241, 835, 19840, 1404, 267, 2558, 604, 956, 256, 4014, 621, 3884, 1405, 513, 2757, 4484, 4015, 267, 649, 666, 1451, 1082, 1919, 827, 875, 3197, 5968, 543, 2769, 2933, 1875, 14620, 958, 1765, 3286, 899, 789, 798, 538, 1483, 5022, 256, 1924, 10544, 513, 21641, 543, 1205, 4712, 547, 4685, 883, 519, 1158, 540, 2558, 604, 956, 2439, 25603, 519, 16992, 281, 8422, 6468, 609, 31981, 454, 14343, 15365, 16248, 6909, 2021, 1491, 4099, 3942, 538, 2558, 604, 956, 1107, 11427, 269, 19159, 267, 11427, 269, 670, 1446, 267, 543, 11427, 269, 22642, 269, 9282, 6004, 269, 19159, 4249, 513, 1713, 1909, 1932, 267, 646, 3085, 1406, 3717, 2429, 519, 3003, 1404, 269, 27355, 1406, 602, 10578, 26834, 5502, 267, 891 ]

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

[ 825, 1820, 834, 23251, 273, 568, 339, 3288, 10152, 257, 0, 258, 589, 2241, 7097, 547, 711, 1518, 950, 707, 2012, 568, 1572, 630, 22238, 2406, 264, 676, 4758, 596, 513, 31015, 543, 4730, 521, 790, 333, 3280, 543, 6340, 909, 692, 258, 1215, 547, 946, 7790, 8528, 258, 1403, 4881, 519, 7097, 585, 519, 1101, 942, 2073, 946, 910, 338, 11090, 547, 14764, 8528, 258, 24269, 596, 616, 1932, 11112, 547, 7390, 630, 10112, 11167, 713, 568, 519, 2601, 264, 3097, 258, 3807, 2196, 713, 7097, 593, 12363, 543, 898, 786, 1491, 1416, 630, 22238, 2406, 2020, 5814, 4633, 318, 13440, 10744, 607, 521, 337, 454, 5814, 15259, 454, 5814, 942, 454, 5814, 2415, 27785, 454, 5814, 19523, 454, 5228, 1250, 318, 2998, 4355, 318, 1889, 564, 318, 2006, 4526, 1104, 6443, 318, 2998, 4355, 318, 1889, 564, 267, 14588, 752, 318, 1575, 692, 3698, 14764, 3890, 1384, 825, 23288, 825, 9577, 547, 14764, 519, 4408, 676, 799, 519, 7097, 786, 5431, 543, 711, 1518, 596, 454, 825, 15981, 692, 825, 3758, 318, 1410, 1235, 815, 15259, 29624, 18994, 12803, 3488, 22238, 762, 5332, 1868, 17902, 5073, 825, 952, 3758, 318, 1410, 1235, 2433, 3097, 1038, 1820, 2891, 22238, 762, 5332, 1868, 17902, 6818, 2907, 267, 7490, 2638, 952, 519, 21483, 4408, 616, 2953, 5602, 1038, 3903, 815, 3403, 2891, 2710, 596, 1869, 1616, 547, 1711, 513, 1007, 14764, 585, 4408, 7790, 2433, 1496, 312, 14672, 316, 15419, 1038, 952, 630, 2254, 3903, 264, 610, 3903, 31573, 3890, 2652, 1412, 344, 12466, 2018, 15259, 31927, 3488, 22238, 762, 5332, 1868, 17902, 17210, 1038, 3116, 912, 2018, 1820, 2891, 2750, 1746, 519, 14764, 7097, 5602, 2018, 19523, 20216, 527, 4590, 13872, 825, 678, 272, 815, 521, 337, 10611, 1815, 1758, 6500, 4590, 825, 1820, 2891, 4131, 781, 14764, 713, 907, 15419, 825, 4408, 815, 11713, 825, 1293, 815, 476, 271, 454, 825, 1247, 1293, 2999, 274, 10778, 1038, 609, 521, 337, 8160, 2222, 7483, 3890, 607, 2707, 912, 2018, 1820, 2891, 11854, 752, 707, 8745, 4425, 328, 630, 24001, 9385, 333, 2668, 8971, 6262, 870, 266, 272, 4917, 2018, 678, 272, 269, 611, 3286, 318, 1721, 318, 3711, 1304, 5332, 18857, 4433, 1830, 28504, 4851, 284, 271, 269, 273, 994, 2018, 8301, 815, 678, 272, 269, 4289, 523, 4433, 1830, 267, 874, 19189, 22710, 318, 3916, 527, 815, 476, 276, 994, 2018, 1257, 815, 678, 272, 269, 13440, 1758, 1125, 318, 2998, 4355, 5416, 644, 1470, 267, 331, 4833, 815, 1412, 523, 268, 2562, 3299, 19651, 318, 718, 18989, 994, 2018, 1820, 29495, 2020, 2018, 2119, 912, 3546, 9598, 815, 1257, 9131, 531, 1181, 894, 262, 6540, 3546, 585, 795, 538, 9598, 912, 7386, 952, 27203, 9131, 10520, 5296, 11172, 711, 538, 4408, 2187, 13376, 4408, 6910, 27203, 9131, 10520, 5296, 262, 7481, 3546, 1293, 23785, 272, 454, 2018, 4849, 7392, 13286, 912, 3546, 1820, 2891, 8923, 3717, 1586, 15419, 825, 1293, 284, 272, 454, 825, 585, 1775, 538, 4408, 2433, 3097, 1038, 1820, 2891, 346, 20467, 834, 269, 8971, 6262, 870, 1070, 328, 994, 1038, 1293, 23785, 272, 692, 825, 1820, 19629, 333, 8923, 9373, 519, 1297, 7222, 547, 4408, 596, 1589, 616, 14191, 547, 707, 2012, 5602, 825, 1820, 2891, 5415, 4408, 596, 3442, 267, 1732, 519, 7097, 786, 798, 15419, 825, 609, 1930, 3488, 22238, 762, 5332, 1868, 17902, 12887, 342, 10807, 607, 32197, 281, 3097, 1038, 1820, 19629, 333, 11767, 2338, 689, 519, 1592, 7222, 547, 519, 4408, 267, 4964, 1412, 336, 262, 547, 16718, 950, 596, 616, 2944, 14826, 5602, 1038, 10917, 8217, 815, 11713, 1038, 1247, 6936, 912, 2018, 513, 815, 3403, 3488, 10831, 540, 519, 2262, 2433, 30386, 2018, 952, 513, 31573, 3890, 2652, 1412, 336, 262, 2433, 3097, 3546, 2736, 454, 2018, 513, 815, 703, 5416, 994, 2018, 952, 513, 711, 538, 10917, 8217, 543, 513, 3436, 476, 271, 543, 513, 10922, 7003, 3799, 1868, 264, 2433, 3097, 3546, 10917, 8217, 6910, 5416, 994, 3546, 32197, 22182, 9230, 12849, 314, 320, 268, 272, 316, 22065, 315, 333, 262, 1040, 12294, 15405, 2018, 8640, 513, 538, 10917, 8217, 912, 3546, 1820, 2891, 763, 2012, 6818, 538, 519, 3758, 32405, 2018, 3116, 912, 3546, 1820, 2891, 1103, 20777, 1297, 9411, 10590, 2020, 825, 1820, 2891, 763, 14764, 568, 6192, 10590, 9239, 3698, 1832, 318, 13765, 3890, 1384, 825, 23288, 825, 9577, 547, 1832, 10992, 543, 711, 1518, 803, 8164, 2012, 630, 22238, 2406, 264, 568, 1572, 3097, 825, 23288, 825, 678, 272, 815, 521, 337, 10611, 1815, 1758, 6500, 10797, 825, 3758, 318, 1410, 1235, 815, 15259, 29624, 18994, 12803, 3488, 22238, 762, 5332, 1868, 17902, 5073, 825, 952, 711, 3758, 318, 1410, 1235, 2433, 3097, 1038, 1820, 2891, 2467, 568, 1100, 3758, 1572, 21483, 5332, 1868, 17902, 5602, 1038, 1820, 2891, 8923, 2196, 519, 7097, 609, 910, 338, 11090, 547, 14764, 5602, 1038, 19523, 20216, 527, 10797, 825, 609, 1930, 3488, 22238, 762, 5332, 1868, 17902, 10807, 607, 32197, 912, 1038, 4408, 815, 32197, 18667, 4590, 13872, 825, 4408, 815, 4408, 21858, 28361, 333, 10807, 11468, 268, 272, 2639, 825, 1820, 3799, 1868, 2020, 825, 1948, 930, 27669, 547, 2061, 11423, 909, 1250, 711, 5874, 543, 10529, 630, 912, 825, 1404, 318, 517, 576, 815, 476, 271, 454, 825, 711, 1518, 4671, 342, 823, 815, 476, 271, 454, 825, 711, 1518, 4671, 342, 823, 318, 3430, 754, 766, 815, 476, 271, 454, 825, 1247, 6936, 912, 1038, 609, 521, 337, 8160, 2222, 7483, 3890, 607, 2707, 2433, 3097, 2018, 678, 272, 269, 611, 3286, 318, 1721, 318, 3711, 1304, 5332, 18857, 4433, 1830, 267, 8653, 815, 476, 271, 269, 276, 994, 2018, 8301, 815, 678, 272, 269, 4289, 523, 4433, 1830, 267, 874, 19189, 22710, 318, 3916, 527, 815, 476, 274, 994, 2018, 1257, 815, 678, 272, 269, 13440, 1758, 1125, 318, 2998, 4355, 5416, 644, 1470, 267, 1893, 815, 1412, 523, 268, 2562, 3299, 1397, 318, 718, 18989, 994, 2018, 2119, 2433, 3097, 3546, 9598, 815, 1257, 9131, 531, 1181, 894, 23300, 3546, 585, 1775, 538, 9598, 912, 7386, 521, 815, 1775, 9131, 10520, 5296, 262, 4940, 12294, 4590, 7386, 1820, 4433, 994, 7386, 521, 815, 521, 21858, 2891, 19515, 7386, 952, 1022, 27182, 538, 4408, 585, 2262, 538, 521, 2187, 13376, 3717, 318, 1575, 3488, 7312, 8745, 568, 1373, 1572, 5073, 13376, 1820, 2891, 16100, 338, 899, 596, 616, 1572, 5602, 13376, 952, 1404, 318, 517, 576, 11203, 476, 272, 2433, 3097, 23351, 15259, 269, 17882, 3488, 320, 2452, 1547, 270, 338, 2432, 270, 531, 1068, 5334, 790, 333, 9884, 822, 5073, 23351, 1404, 318, 517, 576, 6834, 476, 272, 454, 13376, 952, 711, 1518, 4671, 342, 823, 11203, 476, 273, 281, 3097, 23351, 15259, 269, 17882, 3488, 2254, 1518, 1606, 754, 834, 2791, 616, 1572, 538, 2743, 4440, 256, 17776, 547, 2743, 8627, 257, 5073, 23351, 711, 1518, 4671, 342, 823, 6834, 272, 454, 4449, 17264, 3097, 7386, 952, 1412, 2651, 1297, 476, 1321, 262, 538, 521, 912, 13376, 3717, 318, 1575, 3488, 305, 3326, 11910, 256, 5073, 13376, 1820, 2891, 16920, 754, 766, 942, 2580, 338, 994, 13376, 952, 711, 1518, 4671, 342, 823, 318, 3430, 754, 766, 11203, 476, 273, 281, 3097, 23351, 15259, 269, 17882, 3488, 2254, 1518, 1606, 754, 834, 7312, 24305, 1297, 729, 1572, 538, 1362, 257, 5073, 23351, 711, 1518, 4671, 342, 823, 318, 3430, 754, 766, 23785, 272, 454, 7386, 952, 1412, 3430, 754, 766, 262, 538, 521, 2433, 3097, 13376, 3717, 318, 1575, 3488, 16920, 754, 766, 256, 5073, 13376, 1820, 2891, 16920, 754, 766, 942, 2580, 338, 994, 13376, 952, 711, 1518, 4671, 342, 823, 318, 3430, 754, 766, 11203, 476, 273, 281, 3097, 23351, 15259, 269, 17882, 3488, 2254, 1518, 1606, 754, 834, 16920, 754, 766, 5384, 538, 1362, 10590, 5073, 23351, 711, 1518, 4671, 342, 823, 318, 3430, 754, 766, 23785, 272, 692, 2018, 4849, 1401, 4003, 607, 552, 912, 3546, 3136, 454, 7386, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 1384, 825, 16163, 518, 815, 2415, 27785, 269, 26855, 2163, 303, 32242, 5560, 525, 5524, 815, 1412, 16920, 754, 585, 803, 5073, 825, 16163, 518, 14491, 318, 30348, 3488, 268, 338, 12887, 734, 3553, 1575, 3299, 2962, 815, 1412, 32697, 4671, 4902, 3299, 15276, 815, 1412, 13729, 1575, 519, 4408, 676, 799, 621, 786, 711, 1518, 30386, 825, 26571, 815, 16163, 518, 269, 27785, 318, 16911, 10797, 825, 952, 26571, 15630, 1575, 912, 1038, 1948, 1289, 519, 14764, 7097, 454, 1038, 14764, 4590, 825, 3116, 2433, 3097, 1038, 1948, 1280, 4152, 454, 1038, 1948, 6443, 318, 2998, 4355, 318, 1889, 564, 3488, 1889, 564, 3095, 1934, 17210, 1038, 1948, 14840, 519, 13876, 6500, 3097, 1038, 1832, 318, 13765, 10797, 0, 258, 28605, 8193, 281, 583, 325, 268, 279, 20609, 8894, 3698, 1293, 5334, 677, 17338, 2187, 453, 10946, 284, 2381, 284, 271, 454, 22610, 1775, 538, 1592, 912, 453, 14851, 1775, 2999, 1295, 912, 4848, 453, 2381, 815, 1775, 454, 453, 14851, 1775, 3436, 3193, 912, 4848, 453, 10946, 815, 1775, 3097, 453, 12248, 815, 1496, 271, 316, 2608, 630, 10946, 910, 1295, 1341, 272, 994, 22610, 795, 538, 2039, 32384, 15902, 266, 272, 2187, 453, 453, 12248, 14728, 24557, 271, 454, 22610, 4994, 538, 1592, 912, 453, 453, 12248, 27709, 15902, 316, 23785, 272, 454, 453, 8161, 284, 271, 454, 22610, 513, 538, 2039, 32384, 15902, 266, 272, 2187, 453, 22610, 524, 538, 2039, 6262, 870, 314, 320, 316, 2187, 4848, 453, 4289, 27709, 24557, 320, 266, 2381, 454, 4848, 453, 8161, 23785, 272, 454, 16596, 1592, 454, 453, 258, 418, 369, 489, 13644, 499, 16088, 454, 4289, 17342, 1015, 267, 2537, 267, 272, 267, 7871, 267, 4792, 275, 267, 7918, 267, 1626, 267, 5038, 277, 267, 4792, 267, 25628, 276, 267, 276, 5379, 267, 4029, 2639, 2745, 1293, 5334, 677, 17338, 994, 0, 258, 1592, 339, 815, 1592, 263, 9792, 263, 272, 267, 476, 1015, 4917, 258, 1820, 17338, 339, 2020, 1721, 1775, 538, 2039, 263, 272, 267, 476, 1556, 2187, 825, 952, 1775, 2652, 476, 272, 912, 1038, 1820, 6600, 257, 346, 328, 348, 560, 2580, 1439, 8782, 30386, 825, 8640, 1775, 2652, 476, 273, 912, 1038, 1820, 6600, 257, 346, 328, 348, 526, 2580, 1439, 8782, 30386, 825, 8640, 1775, 2652, 476, 274, 912, 1038, 1820, 6600, 257, 346, 328, 348, 6113, 2580, 1439, 8782, 30386, 825, 3116, 912, 1038, 1820, 6600, 257, 346, 328, 348, 628, 2580, 1439, 8782, 30386, 0, 258, 31230, 936, 513, 1305, 540, 2418, 1210, 1247, 8520, 543, 4831, 454, 12248, 815, 476, 271, 454, 2745, 3488, 28275, 5073, 6112, 1293, 2999, 476, 1015, 912, 825, 1820, 6262, 870, 267, 1412, 22207, 1439, 284, 5257, 264, 476, 1948, 851, 540, 519, 1247, 8520, 454, 825, 1293, 6834, 476, 272, 476, 1948, 849, 851, 540, 519, 1247, 8520, 454, 2745, 3890, 476, 1948, 711, 851, 540, 519, 1247, 8520, 454, 2745, 3488, 291, 821, 5073, 2745, 2891, 265, 257, 2608, 476, 1789, 9239, 258, 31230, 936, 513, 1305, 540, 2418, 538, 513, 2039, 454, 2745, 3488, 19530, 856, 2418, 538, 513, 2039, 5073, 1721, 1775, 538, 2039, 263, 271, 267, 476, 1015, 2187, 825, 1820, 9217, 267, 1412, 22207, 1439, 8782, 5073, 2745, 4590, 2745, 3488, 291, 821, 17210, 1721, 9041, 538, 2039, 263, 271, 267, 476, 1015, 2187, 825, 1820, 3488, 269, 3299, 1439, 8782, 5073, 2745, 4590, 0, 31184, 815, 703, 9272, 2891, 1432, 568, 519, 2837, 281, 27328, 338, 852, 532, 815, 3403, 2891, 3674, 621, 6777, 532, 286, 281, 9373, 1422, 257, 8133, 315, 257, 610, 1422, 257, 5591, 315, 257, 834, 2020, 604, 10917, 13843, 476, 271, 543, 6777, 532, 2652, 834, 5591, 13426, 825, 1820, 2891, 5591, 6777, 267, 1100, 25192, 543, 649, 786, 581, 2348, 513, 4411, 4235, 5602, 19197, 10917, 13843, 476, 271, 543, 6777, 532, 2652, 834, 8133, 13426, 825, 1820, 2891, 21607, 593, 707, 25192, 543, 649, 786, 581, 2348, 513, 4411, 4235, 5602, 19197, 10917, 2999, 476, 271, 912, 825, 1820, 2891, 2005, 568, 16171, 5602, 825, 952, 6777, 532, 2652, 834, 8133, 13426, 1038, 1820, 2891, 2005, 568, 849, 6777, 532, 267, 2322, 593, 707, 25192, 5602, 825, 8640, 6777, 532, 2652, 834, 5591, 13426, 1038, 1820, 2891, 2005, 568, 711, 6777, 532, 267, 865, 1100, 991, 585, 25192, 5602, 825, 1820, 2891, 11742, 585, 3905, 10217, 5602, 2745, 2891, 3528, 324, 5602 ]

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

[ 0, 300, 28854, 5211, 630, 29910, 994, 347, 13126, 1475, 338, 11322, 1166, 1678, 540, 6778, 853, 269, 4477, 839, 2008, 347, 268, 4087, 1475, 24992, 5101, 667, 727, 543, 1744, 334, 652, 2590, 3794, 659, 1512, 267, 717, 858, 867, 18237, 577, 582, 2817, 11206, 2008, 347, 268, 15038, 1475, 276, 267, 271, 2537, 10264, 630, 272, 267, 276, 4029, 544, 264, 11406, 347, 268, 4087, 1475, 338, 2775, 569, 25318, 540, 27997, 1763, 969, 7546, 2008, 347, 268, 15038, 1475, 272, 267, 31239, 10264, 630, 28766, 544, 264, 11406, 347, 21920, 1475, 3066, 269, 279, 11465, 630, 4366, 5998, 264, 11406, 347, 15368, 514, 1475, 31620, 13483, 11465, 630, 3445, 280, 5998, 273, 264, 11406, 347, 11514, 8408, 1475, 1721, 476, 271, 269, 276, 5195, 630, 271, 269, 279, 5998, 264, 689, 519, 5023, 2008, 347, 268, 3328, 1475, 279, 4792, 24140, 10264, 4882, 630, 2190, 544, 274, 4882, 264, 11406, 347, 268, 3193, 1475, 1839, 267, 1822, 24140, 10264, 4882, 630, 3583, 279, 544, 274, 4882, 10245, 347, 268, 1295, 1475, 14631, 24140, 10264, 4882, 630, 275, 544, 274, 4882, 10245, 19613, 540, 519, 5023, 540, 631, 28854, 5211, 538, 6115, 454, 763, 631, 28854, 5211, 568, 513, 6908, 267, 827, 476, 3066, 5195, 630, 5325, 5998, 264, 1279, 267, 22703, 540, 6778, 853, 269, 4477, 839, 538, 519, 772, 2529, 269, 1533, 540, 6115, 269, 634, 631, 28854, 5211, 8928, 5045, 1700, 338, 11322, 543, 26082, 519, 11066, 5211, 1175, 1657, 519, 27997, 1763, 969, 7546, 269, 634, 11066, 5211, 8928, 7178, 543, 568, 513, 29815, 776, 547, 519, 12052, 5211, 269, 634, 7532, 1166, 1678, 540, 6778, 853, 269, 4477, 839, 568, 1369, 519, 24659, 540, 631, 28854, 15880, 563, 7628, 519, 476, 2735, 271, 20349, 540, 6778, 853, 269, 4477, 839, 267, 561, 1695, 1513, 630, 14179, 4754, 1227, 14001, 16095, 543, 11935, 8928, 264, 25626, 998, 922, 8756, 269, 6168, 476, 13670, 5195, 630, 24241, 5998, 264, 540, 6908, 9055, 1472, 519, 18962, 941, 4299, 676, 561, 1695, 1513, 563, 763, 2136, 2276, 11206, 6796, 15387, 519, 631, 28854, 5211, 20266, 5371, 13505, 267, 1985, 547, 519, 5757, 543, 547, 11206, 10003, 476, 1839, 538, 519, 717, 858, 867, 18237, 577, 582, 2817, 11206, 269, 3004, 2812, 3444, 519, 5757, 593, 922, 5580, 10301, 563, 300, 28854, 5211, 24865, 693, 827, 519, 476, 276, 267, 1822, 20356, 630, 272, 267, 4335, 544, 264, 1377, 593, 519, 22703, 2427, 540, 6778, 853, 269, 4477, 839, 538, 519, 595, 2444, 1228, 16186, 269, 634, 5757, 2707, 568, 1369, 6778, 853, 269, 4477, 839, 2817, 26439, 545, 31790, 543, 717, 858, 867, 18237, 577, 582, 2817, 11206, 269, 1744, 334, 652, 2590, 3794, 659, 1512, 568, 547, 519, 1318, 543, 5101, 667, 727, 568, 547, 519, 2451, 269, 10046, 532, 22703, 1524, 14869, 19527, 267, 519, 5757, 14258, 25921, 547, 519, 22583, 1175, 3564, 519, 476, 274, 267, 1822, 20356, 630, 280, 1015, 544, 264, 1377, 540, 519, 18962, 269, 3371, 519, 5757, 22613, 11206, 10003, 476, 10695, 543, 10596, 519, 589, 701, 24258, 20417, 3650, 543, 519, 700, 6072, 24258, 19873, 633, 13505, 267, 1312, 593, 519, 2451, 267, 1354, 10024, 631, 28854, 5211, 717, 5282, 563, 23044, 532, 22583, 998, 519, 27905, 267, 519, 6908, 32168, 525, 936, 1614, 1216, 17517, 1354, 6932, 689, 519, 562, 541, 4900, 543, 1225, 1324, 25921, 1586, 547, 519, 22703, 269, 3371, 595, 8735, 8235, 568, 593, 519, 2451, 267, 8055, 15880, 13788, 689, 519, 2451, 267, 543, 8055, 15880, 20417, 3650, 568, 593, 519, 1318, 269, 590, 2775, 569, 19654, 540, 519, 13009, 3650, 267, 519, 5757, 3762, 519, 3084, 15027, 15224, 855, 3788, 538, 519, 3084, 4104, 269, 2311, 827, 519, 476, 272, 267, 10384, 20356, 630, 26392, 544, 264, 1377, 267, 13068, 4248, 15880, 13788, 689, 519, 2451, 269, 5695, 940, 5045, 267, 519, 5757, 1784, 1742, 1447, 6385, 267, 8429, 896, 11206, 10003, 476, 1839, 543, 1287, 8391, 13068, 15880, 689, 519, 2451, 827, 476, 276, 5195, 630, 279, 5998, 264, 689, 519, 5023, 269, 2311, 519, 4155, 15385, 267, 631, 28854, 15880, 20266, 5371, 13505, 568, 593, 519, 2451, 563, 19350, 519, 1476, 26475, 609, 13068, 15880, 267, 519, 5757, 803, 32752, 998, 595, 25729, 4469, 1846, 267, 3762, 519, 3084, 4104, 5594, 811, 982, 513, 13304, 689, 519, 5023, 267, 543, 10596, 513, 2136, 2276, 24959, 11752, 630, 4785, 14899, 264, 6908, 15378, 267, 593, 519, 2451, 476, 271, 269, 276, 5195, 630, 271, 269, 279, 5998, 264, 689, 519, 5023, 269, 631, 28854, 5211, 13788, 519, 11066, 5211, 827, 476, 2568, 5195, 630, 9032, 5998, 264, 689, 519, 3677, 6908, 781, 5023, 593, 519, 12052, 5211, 563, 763, 2475, 14899, 21697, 519, 2095, 540, 631, 28854, 5211, 693, 513, 6728, 476, 271, 269, 276, 5195, 630, 271, 269, 279, 5998, 264, 25318, 540, 519, 1476, 26475, 609, 519, 11066, 5211, 269, 634, 3328, 2095, 540, 519, 5757, 1282, 476, 7918, 1216, 1296, 267, 1519, 476, 2735, 275, 1700, 1001, 272, 267, 568, 476, 279, 4792, 12945, 3952, 829, 2034, 630, 2190, 269, 276, 544, 274, 4882, 1040, 634, 5021, 2095, 6592, 729, 476, 1839, 267, 1822, 12945, 3952, 829, 2034, 630, 278, 1015, 544, 274, 4882, 264, 593, 5988, 476, 279, 267, 476, 1960, 277, 267, 543, 519, 5934, 2095, 729, 476, 11463, 12945, 3952, 829, 2034, 630, 273, 269, 278, 544, 274, 4882, 264, 593, 5412, 476, 276, 1700, 278, 267, 476, 4572, 280, 269, 634, 1164, 2095, 538, 476, 1960, 277, 729, 2404, 609, 2489, 14700, 538, 519, 7414, 19566, 1282, 519, 4024, 600, 8291, 9503, 24627, 540, 476, 1960, 277, 563, 288, 6360, 10032, 606, 4505, 4528, 540, 519, 15378, 538, 5130, 476, 3192, 275, 269, 634, 4540, 15378, 3459, 10916, 1239, 538, 5239, 476, 2735, 274, 269, 634, 16095, 6503, 6360, 1644, 547, 519, 20349, 540, 6778, 853, 269, 4477, 839, 538, 476, 2735, 271, 7018, 3544, 519, 1974, 540, 2594, 585, 2901, 15378, 563, 268, 11905, 15038, 6508, 689, 5616, 3047, 3406, 1210, 717, 301, 3041, 2707, 10974, 563, 268, 834, 300, 28854, 5211, 2668, 22127, 18780, 6176, 3590, 630, 294, 301, 3041, 1040, 2136, 2276, 24959, 11752, 269, 5181, 476, 1015, 267, 476, 3192, 280, 269, 8158, 5130, 476, 2764, 267, 476, 1001, 274, 563, 268, 834, 299, 1168, 529, 5211, 667, 1778, 720, 2668, 2136, 2276, 24959, 11752, 269, 4873, 476, 1015, 267, 476, 1220, 279, 269, 8158, 5130, 476, 2764, 267, 476, 1001, 274, 563, 268, 834, 12850, 5937, 1092, 7797, 476, 1001, 272, 281, 476, 16318, 13679, 876, 631, 28854, 5211, 12989, 13068, 15880, 267, 14033, 21676, 3258, 267, 26146, 257, 630, 14457, 1040, 2136, 2276, 24959, 11752, 269, 8158, 5130, 476, 2764, 267, 476, 1001, 274, 563, 268, 2136, 2276, 24959, 11752, 630, 1960, 279, 1040, 11683, 10281, 6331, 545, 17972, 538, 519, 6778, 853, 269, 4477, 839, 16323, 630, 24961, 1040, 5291, 2517, 341, 592, 4754, 9884, 337, 30994, 7714, 10993, 270, 14157, 4754, 3996, 270, 5960, 295, 19072, 2355, 8276, 777, 318, 916, 327, 318, 5139, 549, 6958, 324, 2137, 11258, 269, 8158, 5130, 476, 2764, 267, 476, 1001, 274, 563, 268, 5696, 656, 2917, 282, 5295, 630, 2735, 276, 1040, 834, 5719, 11421, 10046, 338, 267, 631, 644, 6503, 338, 267, 808, 7238, 330, 592, 25632, 879, 1186, 267, 543, 700, 1695, 1513, 281, 700, 1695, 541, 8791, 2668, 2475, 24959, 11752, 595, 2444, 3547, 26439, 334, 25076, 269, 8158, 5181, 476, 273, 267, 476, 1001, 271, 563, 268, 834, 300, 28854, 5211, 20266, 5371, 13505, 2668, 2136, 2276, 11206, 6796, 269, 8158, 5130, 476, 2764, 267, 476, 1001, 274, 563, 268, 2136, 2276, 24959, 11752, 269, 834, 18197, 2276, 5440, 4919, 10934, 2668, 5440, 334, 5226, 652, 269, 8158, 5130, 476, 2764, 267, 476, 1001, 274, 269, 5211, 5195, 616, 6825, 593, 519, 4786, 9076, 9201, 585, 519, 2539, 631, 28854, 5211, 543, 519, 11066, 5211, 563, 268, 834, 288, 701, 24258, 20417, 3650, 2668, 2136, 2276, 11206, 6796, 269, 8158, 5130, 476, 2764, 267, 1001, 274, 563, 268, 13177, 267, 6723, 670, 269, 630, 1960, 277, 1040, 834, 763, 4279, 24627, 540, 476, 1960, 277, 2668, 14822, 3557, 2160, 269, 21444, 689, 519, 3312, 593, 4728, 476, 275, 267, 476, 1220, 278, 269, 8158, 4989, 476, 274, 267, 476, 1220, 277, 269, 0, 257, 31807, 523, 657, 1019, 553, 2580, 834, 25975, 523, 553, 562, 665, 1127, 257, 4534, 713, 729, 519, 1101, 1913, 538, 513, 4914, 1893, 594, 4862, 538, 1250, 1272, 267, 607, 513, 1614, 4458, 2025, 7911, 3395, 909, 538, 3384, 2022, 21351, 5375, 5125, 267, 1141, 519, 1101, 8819, 541, 18464, 619, 1185, 8452, 689, 8050, 269, 26812, 3990, 676, 519, 9490, 4992, 267, 594, 6836, 547, 1205, 547, 917, 930, 811, 4654, 267, 519, 1152, 4316, 1373, 7641, 6030, 540, 2296, 543, 3943, 4534, 972, 729, 1100, 4914, 1893, 2069, 585, 840, 268, 10117, 1153, 1453, 538, 5125, 2943, 538, 1346, 2395, 269, 3367, 811, 454, 2414, 1265, 930, 4267, 7033, 7557, 534, 7710, 519, 1893, 781, 1459, 543, 2250, 267, 543, 5654, 6619, 547, 922, 20304, 1851, 519, 835, 543, 513, 3368, 5479, 1004, 945, 3717, 621, 269, 3571, 3406, 568, 4241, 543, 1271, 267, 585, 8847, 540, 2296, 723, 6766, 2069, 543, 1876, 538, 1082, 2477, 543, 5280, 3337, 519, 9163, 540, 1346, 945, 2661, 538, 873, 563, 1607, 4320, 2488, 513, 1007, 5133, 593, 519, 4720, 540, 519, 2027, 1893, 540, 4915, 267, 1759, 593, 519, 5907, 24402, 540, 7216, 7073, 2296, 6481, 31157, 267, 5627, 936, 1079, 2929, 1913, 540, 2564, 1603, 689, 476, 5611, 271, 547, 476, 10204, 271, 563, 1607, 1433, 6799, 513, 4161, 547, 519, 4922, 13463, 671, 13429, 602, 1480, 454, 331, 16722, 616, 1312, 2147, 543, 3586, 538, 741, 4110, 540, 6988, 269, 1280, 454, 320, 4627, 1296, 610, 811, 519, 8471, 7862, 540, 4654, 814, 1044, 513, 454, 1084, 564, 540, 5132, 1851, 1034, 10236, 5505, 543, 8059, 1235, 269, 898, 814, 1044, 454, 325, 18526, 4359, 607, 513, 30997, 547, 519, 2856, 602, 930, 4654, 616, 693, 454, 320, 2663, 3942, 540, 4720, 982, 1866, 269, 898, 849, 5526, 547, 581, 606, 17149, 454, 719, 2492, 540, 835, 540, 519, 3844, 24936, 1682, 540, 30462, 10409, 3069, 281, 602, 454, 1492, 2790, 6189, 540, 1893, 568, 6378, 543, 568, 3976, 9838, 538, 782, 454, 331, 16722, 543, 602, 6466, 6090, 11457, 4654, 798, 711, 563, 257, 23458, 29203, 607, 606, 5345, 6295, 24438, 257, 556, 641, 839, 519, 7521, 269, 2983, 32015, 454, 306, 10102, 517, 781, 2606, 3184, 556, 7721, 26952, 543, 5587, 5809, 519, 10206, 543, 454, 1492, 648, 3749, 2956, 540, 6988, 538, 1893, 267, 23316, 267, 5042, 454, 14396, 267, 543, 4720, 269, 20640, 8696, 13747, 5640, 689, 782, 936, 519, 454, 16447, 1287, 1413, 693, 2963, 29742, 539, 689, 741, 1378, 1382, 538, 1931, 547, 454, 516, 29264, 2436, 4654, 798, 610, 798, 711, 8858, 519, 1482, 5232, 543, 454, 11779, 338, 540, 6988, 269, 1358, 4983, 1239, 689, 513, 2647, 2039, 540, 2053, 543, 454, 17541, 269, 1358, 2015, 519, 6402, 1063, 10409, 2497, 543, 1514, 454, 1260, 14658, 640, 543, 9305, 741, 4681, 547, 519, 3123, 543, 3157, 540, 454, 331, 4833, 1689, 269, 4256, 7440, 616, 4749, 11786, 543, 454, 2889, 22106, 894, 282, 741, 8753, 1039, 909, 547, 606, 1271, 4161, 547, 454, 935, 14846, 2093, 827, 519, 2470, 540, 1893, 563, 763, 4589, 2328, 1224, 2406, 543, 1569, 4601, 609, 1100, 973, 6847, 547, 11991, 454, 329, 3779, 269, 901, 4241, 1433, 786, 9029, 547, 782, 1346, 5461, 538, 519, 454, 5793, 30447, 1063, 1480, 2470, 267, 2528, 267, 543, 1893, 269, 0, 16675, 24711, 568, 513, 9341, 1977, 3529, 799, 568, 23963, 1634, 607, 744, 322, 1774, 320, 11425, 23706, 328, 269, 901, 3529, 568, 1634, 547, 3132, 4158, 267, 3039, 880, 543, 14463, 3574, 269, 5682, 24711, 849, 4016, 547, 1022, 3574, 5833, 689, 891, 4054, 563, 272, 16952, 8382, 454, 16485, 2593, 8382, 585, 912, 6343, 568, 519, 4214, 540, 3039, 24711, 454, 320, 3162, 1977, 3529, 267, 744, 322, 1774, 320, 630, 528, 715, 624, 18588, 264, 11425, 773, 328, 267, 540, 519, 31444, 331, 1920, 267, 27548, 513, 2182, 267, 14463, 3574, 1419, 1031, 585, 627, 541, 1407, 543, 13123, 543, 538, 6928, 20761, 563, 1415, 540, 1978, 824, 16025, 4054, 540, 9341 ]

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

[ 281, 476, 1321, 476, 16006, 26486, 6995, 267, 5420, 20836, 543, 476, 2004, 13728, 4411, 1216, 780, 1012, 1772, 476, 273, 18324, 9398, 540, 6995, 1932, 1454, 2496, 4913, 267, 593, 3328, 267, 519, 2360, 540, 14933, 689, 476, 273, 18324, 9398, 540, 8216, 6995, 630, 325, 571, 653, 2946, 264, 949, 2063, 585, 476, 274, 268, 276, 3108, 269, 898, 781, 1271, 547, 4063, 602, 7050, 14933, 6981, 666, 723, 2942, 2360, 593, 1072, 267, 865, 621, 781, 5227, 547, 8532, 621, 538, 20208, 780, 1012, 1215, 1082, 18324, 9398, 568, 513, 6995, 1085, 17274, 2496, 2026, 5018, 1657, 267, 596, 666, 946, 513, 29537, 610, 23188, 547, 2268, 856, 707, 6995, 269, 2422, 476, 273, 26486, 585, 835, 1085, 17274, 610, 476, 277, 18324, 9398, 585, 835, 1085, 17274, 780, 1012, 1215, 1082, 13728, 568, 513, 6995, 1085, 17274, 2496, 288, 1377, 1085, 17274, 540, 6995, 1058, 2270, 1079, 26486, 540, 6995, 267, 799, 616, 5111, 476, 1015, 10101, 610, 476, 271, 269, 3607, 13728, 780, 1012, 1548, 6995, 5223, 1281, 10060, 321, 15085, 946, 2496, 4263, 10060, 321, 15085, 267, 789, 946, 1079, 26486, 267, 610, 476, 1015, 10101, 630, 271, 269, 3374, 12063, 1070, 540, 2666, 6995, 585, 1142, 3670, 13728, 540, 1216, 269, 589, 4759, 540, 10060, 321, 15085, 262, 24334, 4065, 12243, 3081, 602, 834, 32451, 1906, 6995, 12406, 1267, 538, 936, 268, 2169, 26167, 610, 15280, 6995, 780, 1012, 1215, 1082, 26486, 616, 538, 513, 7484, 540, 6995, 2496, 1103, 2489, 267, 513, 29537, 540, 6995, 11224, 5111, 476, 1015, 269, 277, 10101, 269, 1924, 267, 585, 513, 7484, 540, 6995, 267, 596, 786, 1616, 547, 946, 476, 272, 476, 16006, 547, 476, 273, 26486, 540, 6995, 20836, 338, 269, 1284, 2811, 711, 6158, 827, 8216, 6995, 14848, 267, 855, 12406, 689, 4890, 6995, 10365, 269, 1403, 596, 616, 1210, 1085, 334, 3591, 267, 596, 3513, 1616, 519, 1085, 17274, 547, 581, 3160, 547, 476, 273, 26486, 780, 1012, 1548, 616, 519, 1614, 570, 781, 540, 6995, 28823, 2496, 763, 8422, 17578, 269, 634, 8422, 17578, 540, 13674, 616, 14626, 1211, 958, 519, 1482, 8422, 17578, 540, 6995, 1107, 942, 267, 2837, 267, 543, 31285, 780, 1012, 1548, 568, 476, 272, 476, 273, 5223, 6995, 2496, 288, 476, 272, 281, 273, 5223, 1797, 585, 1169, 6121, 540, 6995, 538, 707, 11127, 267, 596, 786, 6556, 476, 273, 10101, 540, 5277, 17611, 637, 810, 269, 6056, 540, 1786, 342, 12753, 607, 513, 18440, 3815, 269, 1403, 596, 723, 811, 9570, 267, 596, 666, 1118, 811, 17611, 637, 810, 1107, 1369, 2601, 267, 540, 1576, 780, 1012, 1548, 568, 513, 6653, 6995, 5223, 2496, 26574, 540, 24334, 2433, 13379, 540, 4826, 692, 288, 1434, 5223, 547, 1376, 609, 568, 476, 272, 281, 1428, 269, 476, 272, 281, 1321, 568, 513, 1360, 9395, 5223, 543, 621, 11729, 606, 7920, 267, 6505, 7484, 269, 589, 5223, 540, 476, 272, 281, 1704, 568, 2808, 513, 2647, 5223, 543, 621, 11729, 513, 6653, 267, 7646, 7484, 780, 1012, 1548, 6995, 547, 946, 538, 513, 30620, 6995, 20536, 2496, 1432, 1826, 540, 6995, 1058, 596, 946, 538, 513, 30620, 6995, 20536, 286, 898, 568, 1655, 547, 946, 6995, 10365, 602, 723, 1044, 2666, 547, 513, 5420, 20836, 538, 513, 30620, 6995, 3684, 269, 1411, 666, 19584, 782, 540, 938, 30756, 4315, 547, 1265, 513, 887, 770, 610, 8137, 602, 1655, 17015, 707, 6492, 780, 1012, 1548, 568, 519, 11344, 5223, 585, 476, 279, 11680, 540, 6995, 2496, 1607, 5223, 540, 476, 272, 281, 1428, 610, 476, 272, 281, 1240, 2488, 519, 3501, 10868, 540, 519, 8137, 540, 6995, 10365, 269, 1411, 666, 4188, 519, 5223, 547, 7794, 610, 14020, 707, 7484, 540, 6995, 780, 1012, 22108, 692, 2791, 1522, 849, 899, 454, 28082, 9708, 454, 30238, 24762, 454, 20684, 1344, 692, 12041, 281, 715, 987, 3570, 601, 13391, 3518, 778, 692, 8310, 21213, 281, 476, 866, 270, 6349, 270, 1708, 275, 692, 21366, 281, 476, 25118, 277, 692, 305, 908, 281, 476, 275, 269, 275, 1315, 476, 276, 630, 4037, 20366, 2020, 12041, 1344, 692, 11243, 281, 715, 987, 3570, 601, 13391, 3518, 778, 692, 289, 9500, 1485, 281, 476, 1960, 279, 268, 1321, 268, 6349, 692, 11754, 816, 281, 589, 696, 269, 476, 279, 3066, 476, 4037, 272, 3794, 1478, 7348, 267, 4639, 2107, 1633, 334, 267, 5442, 476, 23470, 3607, 692, 17490, 281, 1341, 3445, 272, 28276, 25971, 6812, 272, 692, 297, 984, 281, 18378, 8668, 18509, 13541, 692, 295, 984, 2421, 281, 25511, 8243, 603, 532, 267, 16359, 5026, 267, 674, 2391, 267, 4787, 328, 532, 267, 14208, 14563, 267, 6181, 334, 2679, 267, 10979, 1236, 908, 692, 7072, 281, 3733, 2012, 568, 715, 987, 3570, 601, 13391, 3518, 778, 267, 594, 993, 513, 9735, 267, 8799, 267, 4619, 16124, 267, 12703, 267, 2635, 267, 20036, 267, 32219, 1268, 945, 14560, 1603, 543, 6499, 547, 2671, 1250, 1702, 543, 1620, 609, 596, 269, 0, 1993, 476, 2641, 692, 1892, 4266, 2022, 692, 1626, 9539, 990, 268, 1001, 275, 454, 1892, 21145, 692, 1892, 2070, 692, 274, 269, 13078, 692, 271, 692, 307, 8980, 306, 1384, 1892, 1599, 540, 4632, 692, 21615, 539, 12025, 630, 29210, 2020, 9188, 5524, 692, 15035, 9695, 2073, 15035, 3830, 267, 835, 1083, 8475, 2073, 9756, 11664, 267, 15895, 2079, 267, 9695, 3830, 2073, 12048, 4925, 529, 562, 3121, 267, 2923, 267, 2923, 513, 761, 8714, 320, 267, 12048, 4925, 529, 562, 3121, 267, 2733, 1075, 542, 544, 652, 745, 531, 267, 5470, 1609, 663, 541, 267, 5470, 9133, 334, 272, 267, 5470, 9133, 334, 1556, 267, 795, 846, 524, 842, 1258, 267, 544, 9346, 275, 15276, 2593, 5291, 2517, 4178, 269, 3387, 320, 275, 15276, 2593, 692, 1892, 476, 272, 269, 29865, 269, 476, 27898, 454, 291, 12442, 281, 476, 280, 270, 271, 2918, 270, 6021, 454, 297, 5308, 292, 595, 2562, 15045, 2177, 267, 300, 10621, 692, 273, 269, 12430, 9695, 454, 30791, 9695, 8942, 547, 2203, 519, 2078, 1063, 1079, 4632, 676, 17501, 513, 5276, 3830, 547, 4767, 1239, 563, 3080, 4756, 568, 2808, 547, 581, 606, 28706, 4756, 267, 543, 519, 824, 568, 2808, 547, 581, 513, 8200, 4756, 454, 274, 269, 12430, 9695, 454, 6524, 12394, 547, 3514, 513, 5276, 2203, 547, 4767, 1239, 267, 513, 2203, 518, 1058, 1101, 3313, 2436, 610, 711, 972, 568, 513, 2078, 1063, 519, 4632, 540, 1719, 563, 1607, 1281, 711, 8209, 17538, 602, 835, 4756, 3123, 519, 824, 267, 855, 602, 972, 568, 930, 1713, 7681, 1063, 519, 1079, 4632, 454, 275, 269, 12430, 9695, 454, 288, 5276, 9695, 1899, 814, 606, 3830, 540, 519, 1106, 454, 312, 815, 513, 1341, 536, 311, 267, 1141, 2473, 568, 519, 28706, 4756, 543, 962, 568, 519, 8200, 4756, 563, 763, 9386, 540, 519, 1899, 568, 536, 267, 543, 513, 568, 519, 18448, 630, 1492, 1871, 540, 586, 950, 1535, 815, 476, 271, 1916, 276, 269, 1403, 519, 3804, 568, 12605, 267, 610, 20925, 267, 5276, 9695, 666, 581, 1031, 547, 3514, 513, 16762, 2203, 547, 606, 4767, 1239, 1305, 540, 586, 543, 2473, 2418, 563, 277, 269, 4856, 21975, 3213, 324, 2310, 454, 17357, 21975, 11664, 6920, 519, 4222, 543, 4287, 540, 513, 5276, 2078, 1063, 1079, 4351, 4632, 563, 1103, 2489, 8579, 6165, 267, 9756, 4016, 547, 519, 22576, 540, 1079, 4351, 4632, 689, 7115, 563, 278, 269, 21942, 1587, 2173, 30291, 14585, 21975, 11664, 454, 288, 1297, 540, 1114, 14170, 616, 1031, 585, 1114, 3871, 563, 763, 1655, 1634, 568, 519, 21942, 1587, 4090, 9756, 11664, 267, 799, 568, 5833, 676, 12270, 519, 31809, 540, 519, 1079, 4632, 676, 519, 1587, 540, 741, 3044, 24017, 563, 279, 269, 21942, 1587, 2173, 30291, 9756, 11664, 563, 763, 9756, 11664, 2473, 267, 962, 1063, 1079, 4351, 4632, 2473, 543, 962, 609, 4397, 2418, 2473, 663, 962, 543, 3044, 24017, 2473, 543, 962, 568, 3989, 607, 1384, 19489, 300, 308, 6369, 454, 280, 269, 1763, 573, 783, 2079, 454, 763, 2079, 540, 15895, 338, 4249, 606, 1271, 1909, 538, 4570, 908, 519, 9695, 2203, 269, 1403, 519, 5470, 2165, 538, 519, 9695, 2203, 25389, 519, 2185, 10054, 267, 1287, 519, 2203, 568, 2808, 4570, 563, 7712, 519, 8579, 4255, 585, 4644, 616, 849, 593, 891, 10054, 267, 8753, 4611, 689, 891, 4644, 1257, 616, 1572, 883, 2243, 563, 1015, 269, 901, 1826, 540, 6772, 4660, 4729, 568, 3730, 585, 6029, 519, 2078, 1063, 519, 1239, 543, 519, 10567, 2418, 689, 519, 9695, 1599, 563, 1556, 269, 22953, 2079, 454, 8269, 619, 547, 2553, 585, 9781, 543, 7421, 1896, 4632, 267, 950, 519, 1445, 568, 593, 519, 2078, 1063, 513, 8200, 4756, 543, 835, 528, 811, 7115, 4632, 563, 5415, 4481, 267, 9695, 2079, 2337, 721, 1174, 875, 519, 6093, 1871, 540, 519, 454, 323, 8817, 4756, 2242, 950, 1022, 835, 540, 519, 785, 8817, 4632, 568, 9867, 267, 1247, 519, 824, 4830, 4632, 616, 4371, 6378, 563, 1321, 269, 634, 9695, 3830, 9388, 609, 519, 1739, 4632, 912, 763, 7164, 6724, 20922, 607, 6902, 713, 949, 581, 513, 22185, 610, 513, 6152, 540, 3259, 737, 563, 763, 4830, 4632, 311, 563, 763, 8200, 4756, 267, 962, 563, 8802, 1833, 3830, 568, 513, 1599, 540, 4632, 2473, 543, 4586, 1724, 269, 22953, 2079, 454, 8802, 1833, 2079, 568, 4922, 1031, 585, 12605, 630, 10175, 20925, 540, 942, 1606, 7685, 1239, 1916, 8196, 540, 9695, 2079, 585, 12605, 814, 8101, 16937, 609, 519, 2361, 540, 3684, 1565, 563, 8802, 1833, 2079, 568, 849, 1031, 547, 1174, 799, 1851, 519, 4830, 4632, 616, 1644, 547, 519, 8200, 4756, 267, 543, 547, 2263, 519, 3029, 540, 891, 3347, 563, 1691, 269, 9012, 513, 761, 8714, 320, 454, 303, 528, 4302, 3288, 2923, 513, 761, 31198, 3821, 632, 19448, 18665, 652, 571, 1100, 1965, 796, 1207, 523, 3934, 11456, 632, 3288, 2923, 632, 3288, 533, 29793, 659, 514, 888, 19324, 24534, 513, 17485, 1130, 2803, 17119, 657, 269, 3143, 1965, 973, 558, 754, 762, 900, 921, 541, 5055, 679, 2733, 1075, 542, 525, 544, 8500, 607, 574, 339, 878, 553, 15301, 22209, 785, 848, 607, 22015, 571, 24140, 18372, 3288, 1217, 659, 514, 1965, 12165, 320, 679, 19448, 18665, 652, 571, 267, 1130, 2803, 544, 8500, 607, 574, 339, 878, 657, 6446, 1100, 694, 533, 732, 322, 523, 679, 562, 3385, 264, 13961, 694, 900, 921, 534, 4632, 771, 4038, 553, 522, 24140, 14515, 2275, 783, 18945, 643, 553, 267, 3288, 2923, 513, 761, 31198, 3821, 533, 4240, 324, 1100, 829, 1084, 324, 1356, 620, 8580, 2863, 334, 632, 1130, 2803, 632, 3288, 4756, 563, 1428, 269, 28769, 4302, 1714, 5470, 1609, 526, 541, 632, 3288, 2923, 771, 2381, 340, 6614, 454, 303, 528, 4302, 1714, 5470, 1609, 526, 541, 632, 3288, 2923, 771, 2381, 340, 6614, 24140, 18372, 1714, 512, 4821, 334, 632, 3288, 2923, 513, 2163, 320, 888, 14976, 5470, 1609, 526, 541, 1965, 19448, 3053, 514, 632, 12165, 514, 632, 15255, 1199, 5362, 632, 18665, 652, 6652, 620, 1042, 539, 528, 632, 3288, 2923, 632, 533, 29793, 659, 514, 269, 13961, 3288, 12165, 514, 771, 2381, 340, 6614, 630, 572, 688, 576, 11792, 890, 4302, 320, 264, 1303, 517, 806, 17485, 1130, 2803, 9723, 15606, 11188, 3288, 18665, 652, 571, 27764, 754, 523, 513, 989, 745, 27785, 11792, 524, 2075, 534, 3512, 324, 513, 579, 630, 14741, 340, 1040, 28769, 1714, 733, 337, 9222, 23313, 3288, 12165, 514, 694, 27261, 320, 630, 572, 688, 576, 11792, 6264, 324, 264, 17485, 1130, 2803, 9723, 15606, 11188, 3288, 2923, 632, 3288, 18665, 652, 571, 27764, 754, 523, 513, 989, 745, 27785, 2367, 657, 524, 2075, 534, 3512, 324, 620, 1042, 539, 528, 632, 579, 630, 14741, 340, 1916, 1626, 269, 28769, 4302, 1714, 5470, 1609, 526, 541, 632, 3288, 2923, 771, 2381, 340, 6614, 454, 550, 517, 806, 281, 620, 771, 2381, 340, 597, 1714, 5470, 1609, 526, 541, 267, 1714, 27089, 632, 524, 783, 638, 1512, 2923, 632, 18665, 652, 571, 21483, 618, 324, 694, 1035, 2075, 4673, 620, 27089, 632, 3288, 2923, 632, 3288, 533, 29793, 659, 514, 267, 17485, 1965, 2133, 626, 553, 2277, 523, 1609, 324, 535, 523, 5443, 334, 632, 522, 10177, 812, 5028, 281, 620, 771, 2381, 340, 597, 1714, 5470, 1609, 526, 541, 694, 27261, 320, 3288, 3348, 529, 514, 598, 3288, 6446, 694, 533, 4240, 324, 721, 541, 3288, 2923, 632, 3288, 18665, 652, 571, 16948, 3934, 541 ]

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

[ 1528, 741, 3401, 269, 901, 3335, 2882, 519, 1318, 547, 8917, 585, 13222, 693, 1312, 519, 3844, 543, 25499, 2157, 540, 2229, 267, 543, 519, 1318, 547, 7119, 538, 1857, 9840, 543, 5717, 827, 1271, 2152, 563, 14300, 540, 11180, 10480, 518, 725, 1331, 519, 2136, 2276, 267, 4516, 267, 543, 5245, 269, 769, 891, 2477, 267, 519, 3844, 2229, 543, 519, 25499, 4559, 960, 1927, 547, 3895, 519, 10304, 540, 519, 1004, 267, 1247, 8497, 519, 1367, 9163, 543, 2924, 540, 1142, 1533, 610, 11662, 563, 288, 14081, 568, 513, 1106, 540, 2229, 538, 799, 1379, 568, 4371, 676, 11221, 8387, 267, 2864, 982, 676, 513, 16313, 610, 3909, 3401, 269, 769, 513, 14081, 267, 519, 1004, 1528, 13222, 547, 1118, 3664, 593, 741, 15773, 267, 543, 519, 2229, 13333, 2687, 547, 513, 1305, 540, 4031, 543, 5238, 602, 616, 5921, 547, 2327, 519, 4027, 540, 1367, 2924, 543, 519, 1455, 1434, 563, 763, 1808, 1106, 540, 513, 14081, 666, 4268, 4922, 267, 4470, 593, 519, 2797, 543, 1514, 2796, 540, 519, 2486, 269, 2368, 1065, 28362, 923, 616, 16232, 1949, 267, 538, 799, 519, 2212, 540, 1533, 568, 11221, 2047, 676, 519, 1004, 267, 1247, 1866, 616, 25931, 1949, 267, 538, 799, 519, 2212, 540, 2229, 568, 12912, 676, 519, 23328, 563, 1103, 513, 14081, 267, 519, 2229, 568, 3335, 5258, 883, 5094, 8371, 267, 609, 1142, 7936, 2348, 1808, 7060, 543, 9021, 269, 1280, 1383, 267, 538, 1082, 1065, 28362, 923, 267, 519, 15424, 7936, 568, 3743, 585, 1818, 4031, 267, 519, 10324, 7936, 568, 3743, 585, 30191, 4031, 543, 13327, 4370, 519, 7245, 540, 519, 2229, 267, 543, 519, 16324, 7936, 568, 3743, 585, 16208, 4031, 543, 20547, 3656, 13882, 563, 763, 4295, 3741, 540, 513, 14081, 1331, 519, 4027, 540, 1367, 2924, 543, 22624, 267, 519, 4341, 540, 1876, 267, 543, 519, 2856, 602, 519, 2229, 1590, 581, 18177, 547, 519, 1004, 269, 769, 513, 14081, 267, 4961, 723, 519, 1318, 547, 7119, 538, 519, 11180, 1184, 543, 547, 1528, 741, 3401, 267, 543, 789, 849, 723, 519, 1318, 547, 3180, 1346, 3401, 18177, 585, 741, 3527, 563, 14300, 540, 1065, 28362, 923, 1331, 5333, 267, 3127, 267, 543, 8478, 269, 1452, 2477, 723, 7550, 1585, 3029, 540, 14081, 2229, 267, 1142, 609, 922, 1378, 2189, 1686, 267, 2797, 5238, 267, 543, 2686, 5389, 563, 26452, 5927, 2231, 1472, 519, 1158, 454, 9961, 1686, 267, 1082, 23693, 723, 24111, 543, 15468, 267, 1142, 609, 922, 1378, 2189, 2528, 267, 1686, 267, 543, 9371, 269, 3371, 616, 930, 540, 519, 1034, 1134, 8153, 23693, 538, 519, 1158, 912, 268, 4936, 7276, 1107, 634, 4936, 7276, 729, 513, 3532, 1533, 602, 16768, 689, 476, 2767, 7460, 547, 476, 5325, 277, 5084, 267, 609, 922, 3854, 538, 7507, 267, 7977, 269, 898, 4988, 1454, 540, 2342, 267, 5375, 5607, 267, 543, 3345, 4000, 267, 543, 729, 835, 540, 519, 4102, 543, 1034, 3532, 23693, 538, 519, 1158, 563, 268, 3703, 7276, 1107, 634, 3703, 7276, 729, 835, 540, 519, 4102, 543, 1034, 3532, 23693, 538, 1686, 267, 8720, 936, 513, 10116, 540, 519, 1158, 779, 2244, 1858, 693, 922, 4463, 269, 898, 729, 3964, 538, 519, 476, 1626, 628, 543, 476, 1704, 628, 5553, 267, 543, 922, 3310, 729, 5433, 2066, 519, 1158, 267, 689, 3127, 543, 4000, 547, 519, 17113, 543, 5245, 563, 268, 27245, 7276, 1107, 634, 27245, 7276, 729, 519, 4102, 733, 27631, 2244, 10504, 538, 1686, 267, 17364, 689, 2342, 547, 5607, 269, 898, 729, 3964, 676, 2637, 724, 529, 16679, 538, 519, 2038, 476, 1724, 628, 2540, 267, 543, 922, 3914, 6905, 689, 519, 8355, 4209, 5211, 538, 2342, 547, 519, 11114, 18686, 563, 268, 16368, 7276, 1107, 634, 16368, 7276, 729, 513, 15349, 1533, 602, 16768, 689, 476, 15782, 280, 547, 476, 4572, 273, 269, 2311, 922, 4463, 267, 621, 4988, 1454, 540, 14913, 2342, 267, 5375, 5607, 267, 543, 3345, 4000, 267, 543, 729, 835, 540, 519, 1034, 3532, 543, 9565, 23693, 538, 519, 1158, 563, 268, 6739, 7276, 1107, 634, 6739, 7276, 729, 513, 1533, 602, 16768, 689, 476, 15094, 272, 547, 476, 4489, 278, 267, 609, 922, 3854, 538, 18293, 269, 898, 729, 835, 540, 519, 4102, 543, 1034, 3532, 23693, 538, 519, 1158, 267, 8720, 1454, 540, 2342, 543, 5607, 267, 543, 4730, 513, 2101, 1909, 538, 519, 1646, 540, 2413, 6576, 563, 268, 14655, 7276, 1107, 634, 14655, 7276, 729, 835, 540, 519, 9510, 543, 4102, 23693, 538, 1686, 267, 9434, 689, 476, 20862, 7460, 547, 476, 20065, 7460, 269, 4706, 3914, 6905, 689, 519, 1473, 639, 5211, 538, 1459, 6377, 9031, 547, 519, 32363, 613, 534, 7256, 267, 543, 621, 5129, 513, 2101, 1909, 538, 5935, 519, 3504, 1158, 563, 268, 4457, 7276, 1107, 634, 4457, 7276, 729, 835, 540, 519, 9510, 543, 4102, 23693, 538, 1686, 267, 9434, 689, 476, 21854, 7460, 547, 476, 4489, 273, 5084, 269, 4706, 3914, 6905, 689, 2413, 6377, 31322, 543, 2494, 577, 22202, 547, 17230, 543, 10476, 267, 543, 621, 5129, 513, 2101, 1909, 538, 5935, 5101, 7489, 2528, 543, 1686, 563, 4322, 616, 1175, 513, 1906, 1806, 540, 519, 1082, 23693, 602, 723, 11478, 2429, 519, 1158, 267, 1142, 609, 922, 1378, 2189, 1686, 267, 2528, 267, 543, 9371, 563, 2690, 811, 3078, 3377, 543, 5013, 267, 2638, 856, 938, 5816, 1715, 12700, 2622, 543, 1246, 721, 593, 17749, 269, 0, 312, 16518, 267, 13723, 476, 1626, 5988, 267, 6825, 519, 7127, 883, 3196, 540, 519, 19109, 9369, 15521, 267, 2966, 547, 1852, 543, 2569, 519, 2518, 12998, 540, 8511, 575, 13293, 563, 8170, 1576, 267, 519, 1034, 29810, 851, 540, 519, 2898, 3364, 568, 602, 519, 2475, 267, 16073, 540, 827, 513, 10116, 540, 519, 1158, 779, 8511, 575, 13293, 267, 568, 711, 513, 1129, 2218, 269, 11048, 267, 621, 779, 1390, 547, 1294, 519, 9167, 267, 1034, 16113, 267, 8149, 547, 9013, 5434, 563, 2467, 779, 6266, 602, 1223, 581, 1767, 267, 543, 5310, 594, 786, 952, 1004, 616, 5461, 269, 1809, 585, 1631, 267, 594, 3580, 6085, 593, 519, 1614, 1034, 4122, 1031, 30852, 540, 519, 14097, 281, 3384, 2197, 17756, 282, 2360, 593, 2804, 2208, 282, 543, 7145, 538, 4227, 5434, 563, 20058, 267, 519, 608, 18277, 11292, 547, 3384, 2477, 269, 634, 14097, 3340, 513, 16795, 1852, 267, 543, 22638, 5786, 267, 540, 8511, 575, 13293, 676, 1129, 2218, 2477, 267, 6027, 3448, 547, 741, 476, 1960, 271, 12998, 2157, 269, 30052, 267, 952, 24451, 14461, 569, 267, 713, 1131, 18385, 1303, 3402, 2804, 15523, 267, 607, 519, 3384, 1158, 1131, 2760, 581, 2111, 547, 12520, 607, 1454, 829, 1268, 607, 519, 2919, 1158, 269, 1306, 513, 1267, 267, 3384, 2477, 616, 711, 4371, 547, 9072, 693, 519, 4090, 563, 8489, 713, 2731, 6927, 568, 519, 2013, 540, 3624, 267, 543, 547, 513, 4110, 3127, 269, 3624, 568, 1631, 519, 1158, 779, 2034, 4102, 900, 7867, 540, 3327, 8166, 267, 7064, 547, 922, 5755, 25673, 2872, 269, 634, 2475, 814, 15189, 547, 1129, 513, 14097, 602, 1281, 711, 20818, 9993, 593, 3624, 269, 1717, 267, 538, 1250, 6644, 267, 519, 1152, 5963, 5837, 3044, 585, 5434, 568, 3160, 5434, 829, 1268, 2443, 799, 1131, 2285, 3624, 519, 1318, 547, 827, 2947, 2053, 519, 2475, 779, 5434, 563, 4913, 5837, 602, 568, 267, 2705, 267, 621, 568, 5693, 5667, 20980, 269, 6820, 11626, 3327, 8166, 2157, 616, 827, 476, 2568, 260, 1657, 1018, 789, 941, 1354, 519, 1376, 540, 519, 4853, 4838, 269, 1703, 616, 4128, 547, 3494, 267, 1498, 267, 602, 1256, 1498, 19109, 9369, 1281, 711, 20818, 9993, 593, 3624, 267, 5434, 2208, 786, 3500, 269, 1677, 1376, 609, 267, 3624, 1175, 9783, 513, 3948, 6031, 789, 616, 4358, 547, 20818, 512, 7660, 9993, 269, 4329, 267, 519, 1702, 602, 19109, 9369, 786, 4019, 547, 873, 5266, 4166, 786, 4043, 547, 1118, 1646, 4755, 538, 513, 840, 268, 3319, 1947, 15777, 1259, 269, 14936, 267, 3327, 9467, 2443, 5941, 1985, 2443, 786, 16578, 519, 2919, 1158, 547, 4217, 538, 3246, 15777, 2029, 563, 763, 2034, 4661, 568, 602, 19109, 9369, 814, 1932, 2942, 606, 1198, 593, 2804, 2208, 547, 17854, 922, 2640, 269, 15316, 2090, 723, 1625, 19959, 547, 1397, 513, 5458, 2804, 1942, 267, 5310, 513, 8101, 6824, 540, 513, 2600, 540, 2518, 12654, 2208, 936, 519, 1985, 2540, 269, 634, 6654, 2626, 568, 602, 2348, 513, 561, 22133, 3047, 568, 4502, 2484, 811, 982, 713, 269, 1809, 28288, 593, 1312, 5011, 3100, 547, 2972, 844, 7627, 5458, 5515, 936, 1082, 5756, 269, 1306, 594, 1294, 621, 267, 519, 2257, 540, 2518, 8337, 568, 711, 6405, 267, 855, 568, 31029, 269, 12344, 513, 8717, 786, 6961, 621, 782, 513, 7301, 15372, 267, 693, 799, 1448, 19109, 9369, 666, 581, 24905, 1194, 609, 2370, 2942, 1198, 269, 2201, 519, 824, 1688, 267, 952, 649, 798, 2244, 909, 538, 3905, 1216, 267, 607, 621, 941, 267, 513, 8717, 2212, 11034, 1522, 1118, 6061, 519, 22638, 1966, 2484, 14949, 563, 28495, 337, 958, 267, 2705, 267, 621, 4667, 519, 19109, 9369, 7271, 568, 827, 519, 1655, 835, 666, 1205, 585, 4227, 5434, 10464, 569, 269, 13298, 982, 17997, 7833, 20214, 2066, 519, 4604, 267, 19109, 9369, 2488, 585, 9467, 968, 21666, 17099, 6100, 901, 2636, 6080, 1141, 621, 568, 10238, 1438, 569, 7199, 547, 4444, 3327, 9889, 553, 689, 824, 3549, 610, 2477, 267, 610, 547, 2030, 7733, 547, 15558, 741, 5434, 269, 901, 1797, 602, 3549, 543, 2477, 723, 519, 24539, 547, 581, 607, 2973, 607, 2009, 267, 607, 789, 666, 6133, 30694, 844, 7974, 282, 543, 849, 1797, 602, 12998, 20214, 616, 1500, 538, 519, 2127, 540, 519, 4346, 538, 799, 621, 568, 10464, 652, 547, 1847, 547, 15777, 2029, 563, 763, 2063, 1814, 4593, 1143, 540, 19109, 9369, 568, 7363, 1500, 676, 1004, 593, 519, 824, 2427, 540, 519, 20545, 281, 3039, 14540, 3494, 602, 19109, 9369, 568, 3257, 2484, 1932, 2370, 269, 10251, 267, 519, 1279, 1184, 602, 729, 13986, 547, 3142, 519, 2475, 593, 4580, 814, 2451, 519, 14097, 2484, 267, 2484, 21260, 982, 621, 729, 8385, 269, 1924, 621, 2731, 3085, 1406, 1611, 1454, 585, 513, 1297, 540, 1296, 547, 2097, 269, 1717, 267, 594, 1810, 1406, 1589, 835, 1058, 30391, 519, 1871, 540, 2348, 513, 5943, 6368, 538, 1747, 267, 543, 519, 6521, 540, 1857, 6644, 602, 814, 8507, 269, 634, 2475, 779, 2990, 568, 3168, 5051, 9678, 267, 799, 568, 3078, 547, 1294, 282, 543, 1058, 2518, 8337, 1376, 23960, 5469, 2406, 267, 621, 568, 2484, 4443, 543, 18334, 547, 2539, 519, 3327, 9889, 553, 538, 1747, 267, 982, 547, 21907, 1945, 899, 19109, 9369, 689, 15072, 563, 16675, 5264, 575, 13293, 616, 513, 1966, 602, 786, 2760, 581, 12193, 607, 3362, 607, 519, 8851, 540, 18435, 12336, 15286, 519, 9552, 540, 519, 17645, 4494, 269, 634, 19109, 9369, 14097, 267, 2705, 267, 4617, 607, 621, 568, 267, 4667, 547, 803, 547, 2709, 513, 1434, 3575, 540, 5100, 9297, 267, 5837, 3398, 1464, 267, 543, 4126, 585, 519, 2104, 563, 274, 4555, 593, 968, 298, 344, 9369, 15521, 3217, 3196, 7536, 7312, 1448, 827, 3624, 568, 6157, 4277, 269, 2290, 540, 1250, 1434, 2828, 689, 15101, 568, 1631, 2324, 538, 19864, 585, 519, 3923, 543, 646, 568, 1175, 6031, 602, 519, 2898, 2749, 24462, 899, 1286, 9688, 630, 663, 13189, 1040, 594, 798, 4126, 602, 3624, 568, 2965, 7598, 1346, 3800, 269, 898, 568, 2186, 320, 20868, 602, 1004, 1131, 1616, 547, 723, 513, 8799, 4346, 1318, 1631, 3079, 540, 2348, 513, 2973, 3047, 585, 741, 1453, 7498, 8133, 267, 23248, 3624, 568, 256, 594, 1205, 519, 4743, 602, 519, 5533, 568, 2484, 811, 538, 519, 4872, 267, 607, 10353, 547, 4025, 899, 519, 2475, 267, 1141, 1159, 690, 8060, 616, 7168, 2178, 267, 543, 621, 779, 15327, 543, 1379, 2371, 2476, 689, 4872, 602, 616, 811, 1713, 563, 2026, 2484, 607, 519, 4346, 267, 594, 723, 1256, 1224, 606, 4661, 1934, 602, 649, 1058, 6633, 811, 8093, 10173, 1631, 267, 547, 7794, 519, 4346, 811, 3533, 267, 865, 602, 649, 723, 811, 12588, 547, 4194, 519, 1966, 2663, 267, 950, 1095, 2541, 2406, 649, 3580, 723, 930, 1007, 2029, 269, 1530, 2114, 899, 513, 19408, 4640, 547, 803, 2336, 11854, 1136, 540, 1286, 9688, 543, 13189, 267, 594, 4076, 2141, 9289, 875, 1454, 3327, 8166, 568, 3812, 12422, 676, 519, 7296, 540, 13189 ]

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

[ 334, 267, 533, 3121, 267, 5186, 520, 807, 547, 4055, 269, 5131, 1557, 281, 547, 4055, 476, 866, 2073, 3803, 8908, 538, 519, 2110, 1650, 968, 1729, 4055, 562, 31106, 892, 676, 546, 528, 529, 1447, 532, 267, 3997, 534, 6151, 13530, 568, 513, 4807, 2713, 1018, 4667, 899, 519, 3501, 269, 1323, 6514, 540, 519, 6138, 540, 16650, 1143, 538, 546, 528, 529, 1447, 532, 781, 2110, 1650, 547, 4055, 562, 31106, 269, 1677, 4055, 562, 31106, 281, 4655, 1063, 2601, 543, 7553, 546, 528, 529, 1447, 532, 781, 1650, 547, 4055, 562, 31106, 568, 267, 538, 1082, 2081, 267, 513, 1650, 827, 519, 2479, 1790, 6974, 4655, 1063, 2601, 543, 7553, 563, 11900, 534, 640, 2021, 723, 21350, 5367, 741, 4145, 827, 519, 2042, 540, 1373, 513, 4807, 538, 513, 812, 779, 2486, 585, 1296, 15594, 3332, 11478, 1354, 22158, 607, 513, 3350, 1705, 269, 1677, 4055, 562, 31106, 814, 476, 4792, 275, 16863, 543, 476, 3393, 8039, 1990, 13860, 1767, 281, 891, 616, 1250, 4555, 593, 519, 2140, 1650, 1152, 338, 639, 534, 6151, 13530, 568, 9310, 547, 513, 812, 1352, 814, 561, 269, 1677, 4055, 562, 31106, 729, 1101, 3370, 538, 513, 812, 543, 1079, 2021, 267, 513, 4015, 540, 1447, 532, 779, 2110, 2984, 602, 5280, 1200, 3035, 1200, 10639, 607, 513, 8037, 2110, 1650, 563, 2414, 4055, 562, 31106, 3956, 3749, 2079, 1557, 1383, 585, 1863, 328, 1544, 547, 8044, 968, 1729, 4055, 562, 31106, 892, 676, 546, 528, 529, 1447, 532, 585, 606, 5304, 540, 20485, 5461, 538, 519, 269, 1323, 1557, 610, 1957, 593, 547, 4055, 562, 31106, 16650, 1143, 568, 513, 6138, 602, 5784, 1480, 6228, 607, 606, 1995, 6825, 676, 4160, 267, 23487, 267, 5191, 267, 4656, 540, 2669, 543, 519, 9637, 269, 25873, 3330, 547, 4055, 562, 31106, 267, 676, 546, 528, 529, 1447, 532, 267, 513, 1957, 3724, 689, 3771, 704, 335, 15959, 658, 267, 606, 29501, 540, 3771, 704, 322, 3326, 1231, 21101, 269, 12143, 1948, 273, 7005, 968, 1729, 4055, 562, 31106, 892, 676, 546, 528, 529, 1447, 532, 568, 519, 1650, 540, 513, 4807, 945, 9979, 998, 4965, 12082, 538, 1200, 7365, 267, 799, 5012, 547, 1200, 9350, 569, 22867, 11980, 607, 1352, 563, 5472, 7126, 590, 8491, 269, 0, 32487, 4853, 4838, 476, 8146, 273, 266, 342, 1580, 454, 763, 4853, 4838, 568, 1634, 607, 513, 1974, 538, 799, 4909, 2242, 7018, 538, 6683, 267, 20955, 543, 4496, 5478, 269, 3733, 1557, 519, 4853, 4838, 281, 26460, 610, 31169, 547, 519, 2324, 812, 281, 519, 4853, 4838, 729, 513, 1974, 540, 5912, 538, 24067, 1686, 267, 1141, 5499, 2242, 7282, 22713, 7018, 269, 634, 2360, 593, 2021, 1282, 519, 4853, 4838, 1686, 1557, 610, 7840, 6829, 538, 713, 1570, 616, 1346, 540, 519, 4589, 543, 798, 711, 8209, 2992, 519, 5784, 540, 20410, 3594, 2705, 609, 519, 12625, 540, 519, 4853, 4838, 2021, 2968, 606, 3742, 851, 540, 519, 269, 5131, 1557, 593, 2360, 540, 519, 4853, 4838, 2139, 11207, 1863, 693, 3235, 17742, 1260, 267, 519, 4102, 1863, 1557, 2021, 543, 1453, 941, 4397, 547, 960, 909, 547, 476, 1626, 3108, 513, 1554, 543, 3257, 4074, 602, 1223, 2014, 3978, 5945, 24015, 2854, 3594, 593, 713, 1888, 269, 476, 272, 4853, 4838, 1557, 4853, 4838, 910, 476, 276, 3199, 1913, 519, 4853, 4838, 267, 799, 729, 606, 2333, 538, 2504, 4547, 827, 676, 519, 946, 540, 6191, 267, 1185, 513, 6225, 1764, 1152, 593, 513, 1507, 12102, 540, 519, 1004, 540, 1390, 31564, 267, 585, 519, 5354, 621, 729, 4652, 822, 24461, 269, 2279, 27996, 753, 1557, 593, 6760, 538, 5045, 21562, 4945, 547, 1931, 1557, 575, 332, 272, 14228, 2993, 657, 728, 10282, 1317, 519, 3498, 1557, 666, 723, 513, 2565, 1198, 2390, 707, 3356, 3054, 1018, 3594, 4853, 4838, 476, 8146, 273, 266, 342, 1580, 1557, 593, 22594, 1554, 538, 31448, 563, 26581, 7434, 4838, 3594, 27168, 1299, 2942, 3344, 540, 519, 4853, 4838, 538, 519, 1439, 540, 519, 476, 1240, 628, 2540, 513, 1007, 4838, 538, 1686, 1131, 581, 4646, 621, 4547, 2318, 543, 2942, 2360, 547, 519, 1158, 543, 519, 1004, 2713, 538, 621, 18563, 267, 2093, 267, 543, 1007, 2081, 540, 6283, 941, 269, 634, 4853, 4838, 729, 513, 942, 540, 1390, 2085, 2429, 519, 1158, 621, 6719, 2101, 1689, 689, 476, 12293, 271, 547, 519, 1974, 476, 9264, 271, 268, 7277, 271, 519, 3350, 12090, 538, 1390, 31564, 543, 4299, 3388, 689, 4853, 5663, 3157, 547, 519, 3232, 1272, 540, 519, 3328, 12504, 269, 13017, 4534, 1557, 4775, 9087, 2045, 728, 28957, 1557, 518, 644, 924, 1260, 1957, 1603, 3028, 3594, 4853, 4838, 476, 8146, 273, 266, 342, 1580, 2628, 547, 2328, 11810, 12031, 8367, 513, 1007, 2186, 540, 29681, 1557, 27362, 1193, 785, 6199, 3594, 269, 8281, 5098, 3948, 593, 4853, 4838, 538, 938, 6538, 610, 1931, 606, 3312, 5098, 1957, 602, 786, 581, 2854, 676, 835, 540, 938, 5234, 5830, 543, 9447, 2687, 547, 519, 21120, 269, 5131, 1557, 593, 519, 4853, 4838, 538, 31564, 2139, 11207, 1863, 693, 3235, 17742, 1260, 267, 519, 4102, 1863, 1557, 2146, 563, 25215, 2945, 1957, 568, 827, 519, 4853, 4838, 689, 519, 1433, 267, 519, 2250, 14753, 267, 2959, 543, 2042, 538, 21099, 1686, 267, 676, 9267, 614, 561, 818, 333, 7322, 269, 634, 1764, 540, 519, 4853, 4838, 593, 2413, 2486, 1557, 1603, 3028, 267, 2688, 519, 1764, 540, 519, 4853, 4838, 593, 2413, 2486, 4574, 267, 2165, 4574, 267, 1863, 519, 1764, 540, 519, 4853, 4838, 593, 2413, 2486, 5439, 267, 1382, 4574, 267, 948, 563, 763, 15122, 1557, 2433, 4853, 4838, 1196, 24792, 3276, 651, 2899, 1767, 2073, 1118, 4838, 513, 2385, 540, 11175, 267, 543, 711, 513, 21543, 540, 2104, 26201, 269, 634, 2990, 540, 2021, 1354, 519, 4853, 4838, 729, 1419, 6697, 547, 669, 3430, 601, 267, 543, 1287, 607, 1631, 267, 789, 941, 4397, 811, 827, 519, 1909, 540, 2021, 1282, 519, 4853, 4838, 1557, 1341, 2442, 3594, 563, 32487, 4853, 4838, 476, 8146, 273, 266, 342, 1580, 454, 2791, 1590, 723, 606, 3594, 4853, 4838, 476, 8146, 273, 2021, 4367, 543, 596, 1590, 723, 513, 3932, 1934, 596, 666, 1265, 476, 1408, 1206, 2203, 1557, 4267, 476, 1408, 1206, 2565, 10763, 1557, 5439, 1557, 5439, 540, 6512, 476, 279, 563, 13563, 1686, 3594, 281, 7819, 4853, 4838, 24563, 336, 3406, 1082, 3885, 13986, 547, 7110, 741, 803, 4526, 1507, 3484, 26038, 676, 11488, 2021, 543, 1453, 547, 1832, 5045, 1286, 565, 2088, 689, 8011, 532, 795, 11055, 1185, 9896, 883, 1876, 519, 13545, 858, 540, 476, 8146, 273, 267, 4227, 11645, 269, 10749, 910, 4102, 6538, 540, 2298, 3732, 3594, 543, 1382, 4574, 593, 4853, 4838, 24563, 336, 269, 4828, 1535, 1770, 1449, 4473, 540, 4853, 11615, 543, 741, 3095, 547, 22030, 543, 18541, 1535, 1770, 1449, 1535, 1770, 1449, 1764, 540, 24067, 713, 4853, 4838, 1449, 814, 2178, 4020, 14496, 1317, 782, 519, 3688, 616, 13988, 609, 519, 5497, 1565, 4093, 269, 634, 4853, 4838, 729, 835, 540, 519, 1034, 1713, 5712, 538, 519, 1480, 1686, 621, 729, 519, 7432, 1448, 267, 519, 4090, 950, 1004, 3323, 1007, 1272, 945, 6487, 1018, 938, 1272, 1131, 581, 899, 952, 972, 941, 1100, 4838, 596, 917, 267, 707, 4305, 568, 1312, 3078, 543, 7294, 1603, 519, 4853, 4838, 3594, 2636, 1496, 269, 11633, 4838, 1557, 3732, 519, 1764, 540, 519, 4853, 4838, 3769, 13346, 540, 960, 4609, 689, 519, 6917, 11396, 547, 4683, 15327, 267, 519, 2333, 538, 2551, 2208, 2557, 1813, 547, 8244, 540, 1732, 2298, 543, 7274, 1426, 538, 519, 4683, 2127, 269, 11633, 4838, 814, 1044, 4857, 607, 519, 10747, 3196, 3297, 519, 16854, 2804, 2208, 14754, 538, 519, 7819, 4182, 1282, 519, 476, 866, 628, 543, 14206, 2540, 630, 327, 644, 5459, 476, 6321, 264, 7064, 547, 4853, 4838, 267, 519, 7819, 4182, 4824, 922, 2702, 547, 2932, 2527, 2504, 1312, 585, 922, 6469, 2115, 543, 21045, 585, 13143, 563, 26581, 7434, 4838, 3594, 281, 936, 476, 5197, 267, 1822, 4853, 4838, 3594, 267, 4853, 4838, 2165, 4574, 267, 4853, 4838, 1382, 1957, 267, 1433, 5359, 476, 7277, 476, 31275, 3594, 267, 2165, 543, 1382, 4574, 2139, 585, 19957, 1569, 269, 634, 7819, 4853, 4838, 3769, 1082, 1114, 18563, 607, 1134, 607, 1007, 2553, 585, 5663, 543, 1870, 1354, 543, 693, 519, 4098, 540, 519, 4838, 519, 7622, 1062, 729, 9846, 1031, 2705, 267, 607, 519, 4838, 27636, 4600, 543, 741, 12227, 6410, 689, 269, 634, 4853, 4838, 1557, 560, 515, 4853, 4838, 543, 922, 6286, 519, 4853, 4838, 4547, 1689, 2429, 519, 1158, 519, 1158, 711, 581, 5176, 519, 1482, 607, 621, 568, 2221, 952, 621, 1185, 711, 1044, 585, 519, 4853, 4838, 2486, 267, 2872, 267, 2029, 267, 543, 1034, 3388, 649, 1294, 1775, 269, 10749, 910, 4102, 6538, 540, 2298, 3732, 3594, 543, 1382, 4574, 593, 2021, 538, 519, 4853, 4838, 269, 476, 6812, 273, 3184, 476, 736, 519, 4853, 4838, 543, 922, 1764, 593, 24067, 2486, 561, 3184, 7291, 3040, 519, 4853, 4838, 538, 1390, 31564, 3040, 519, 3262, 540, 22713, 269, 634, 8677, 540, 2021, 781, 960, 2021, 543, 519, 1920, 6109, 2021, 781, 960, 267, 4853, 5314, 543, 4008, 713, 1522, 723, 1044, 1256, 2362, 1282, 519, 4853, 4838, 5756, 513, 1686, 540, 24067, 2021, 781, 960, 267, 476, 10204, 271, 547, 519, 1459, 676, 3181, 528, 1695, 1138, 517, 2023, 267, 630, 2908, 26294, 3535, 1578, 269, 1284, 786, 2328, 513, 2688, 1557, 3732, 593, 4853, 4838, 2021, 585, 596, 585, 1152, 1269, 16928, 271, 270, 2457, 1931, 1631, 1101, 5037, 2094, 519, 4098, 540, 942, 2021, 723, 1044, 5701, 21376, 1644, 3594, 281, 519, 1101, 4853, 4838, 1557, 4853, 4838, 1557, 3732, 269, 0, 763, 2518, 10821, 3354, 2344, 568, 4397, 547, 721, 267, 28492, 267, 579, 3747, 585, 4359, 10821, 3354, 2359, 1949, 616, 930, 540, 519, 269, 11819, 4199, 3391, 543, 544, 18863, 529, 1686, 543, 1995, 543, 10821, 3506, 538, 28492, 2139, 593, 519, 519, 10821, 1153, 1062, 666, 581, 269, 32722, 1299, 2079, 513, 1895, 540, 15000, 540, 28492, 781, 29200, 10821, 1153, 1062, 2443, 799, 18928, 519, 13030, 3377, 3232, 20394, 269, 2598, 4533, 532, 519, 2585, 885, 1851, 10821, 3506, 267, 519, 13683, 625, 1085, 17274, 267, 543, 1126, 10304, 281, 606, 2079, 540, 7810, 543, 683, 4377, 11102, 27964, 269, 634, 2587, 997, 534, 5939, 540, 28492, 543, 519, 21944, 10821, 3506, 476, 272, 3506, 281, 513, 2495, 7266, 1042, 2079, 540, 519, 1279, 519, 666, 6598, 10821, 1153, 1062, 269, 634, 5222, 540, 519, 666, 6598, 10821, 1153, 1062, 513, 5618, 3140, 2272, 540, 28492, 779, 10821, 1153, 1062, 513, 2565, 2079, 540, 563, 10521, 3119, 6859, 540, 519, 10821, 1153, 1062, 941, 547, 4894, 1353, 540, 21944, 10821, 3506, 538, 28492, 547, 4266, 543, 1034, 7074, 585, 269, 1323, 1557, 610, 1957, 593, 519, 10821, 1153, 1062, 538, 28492, 519, 10821, 1153, 1062, 538, 28492, 729, 513, 1062, 13991, 547, 3246, 513, 5676, 1441, 1759, 4998, 269, 11289, 596, 585, 9683, 959, 17433, 519, 535, 328, 678, 560, 3942, 540, 519, 3460, 540, 519, 5168, 543, 21047, 10243, 540, 28492, 568, 1631, 2347, 607, 540, 632, 4895, 476, 1240, 476, 1001, 276, 267, 519, 959, 322, 269, 1763, 7808, 3506, 267, 14425, 543, 28492, 781, 6760, 1996, 519, 1267, 729, 519, 21800, 11944, 540, 519, 15395, 1062, 543, 519, 10821, 17469, 2895, 28396, 563, 296, 928, 638, 1275, 6045, 281, 519, 6456, 10616, 538, 519, 12581, 2069, 1062, 28492, 6663, 547, 1683, 2199, 3506, 543, 2950, 2079, 543, 4183, 269, 16971, 1004, 267, 6043, 543, 519, 705, 13092, 1004, 267, 6043, 543, 519, 10821, 1153, 10821, 3506, 910, 519, 10821, 1153, 1062, 538, 28492, 269, 7797, 3081, 28492, 781, 10821, 3506, 8149, 1412, 322, 8590, 21393, 28492, 781, 10821, 1153, 1062, 3459, 538, 519, 4274, 2079, 543, 269, 23046, 519, 9371, 540, 519, 10821, 3506, 513, 4663, 532, 14266, 602, 7710, 519, 1686, 543, 9371, 540, 28492, 779, 10821, 1153, 1062, 998, 31848, 563, 293, 18017, 585, 1686, 281, 26500, 519, 5168, 540, 540, 519, 10821, 1153, 1062, 693, 1082, 10821, 3506, 1256, 3560, 28492, 949, 723, 269, 589, 3084, 6760, 814, 476, 3445, 16863, 543, 519, 10821, 1153, 1062, 892, 607, 4720, 543, 6388, 540, 10821, 3506, 538, 28492, 563, 4910, 7808, 3506, 3594, 543, 1382, 4574, 1732, 3735, 982, 2760, 519, 10821, 1153, 1062, 540, 28492, 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 ]

[ 3000, 623, 758, 2946, 3000, 25048, 25048, 26272, 5295, 681, 13377, 5295, 335, 4428, 21989, 25905, 5741, 5062, 273, 681, 1794, 528, 4414, 14136, 25599, 1299, 18200, 344, 10003, 2782, 1874, 11676, 625, 8779, 6979, 11660, 25817, 1744, 20810, 1299, 1744, 710, 1744, 20810, 543, 1744, 710, 19255, 9469, 7327, 532, 10724, 21708, 1633, 619, 3911, 13704, 454, 23220, 10899, 13344, 4268, 689, 519, 3339, 13344, 269, 634, 23700, 540, 519, 13344, 949, 581, 2901, 9441, 540, 513, 2754, 610, 519, 7218, 269, 8871, 10899, 13344, 616, 5631, 1031, 585, 10229, 5301, 269, 1358, 616, 1031, 547, 3895, 519, 6216, 2012, 543, 2333, 922, 4656, 1851, 519, 1004, 269, 769, 30572, 10317, 1154, 5773, 267, 519, 2298, 543, 6881, 540, 519, 13344, 3180, 811, 1871, 982, 519, 13344, 3294, 2094, 621, 786, 957, 607, 513, 24891, 547, 10536, 1007, 7218, 610, 27498, 563, 27026, 517, 568, 606, 2653, 1259, 547, 1205, 5458, 28774, 1247, 12423, 1187, 2238, 538, 707, 2749, 269, 3776, 3232, 2199, 9388, 2874, 540, 14060, 267, 838, 553, 267, 20730, 267, 2527, 1137, 267, 10918, 642, 537, 7129, 267, 1919, 547, 798, 267, 543, 513, 2898, 2603, 811, 267, 538, 7366, 540, 4872, 2066, 519, 1158, 269, 13028, 519, 1655, 10516, 2093, 609, 6828, 517, 281, 2638, 856, 1390, 9388, 585, 717, 22284, 585, 13924, 267, 717, 22284, 585, 4173, 267, 717, 22284, 585, 21676, 1255, 267, 17510, 1485, 717, 22284, 543, 32285, 717, 22284, 563, 4537, 25891, 693, 717, 22284, 2593, 585, 2228, 13344, 2306, 621, 2653, 547, 3251, 538, 6578, 269, 15439, 2824, 689, 938, 3902, 1606, 9285, 7121, 3817, 543, 5150, 519, 1655, 14512, 13344, 585, 606, 1256, 1732, 3902, 269, 634, 3501, 13344, 8597, 547, 1367, 4690, 267, 865, 649, 2709, 513, 3099, 540, 10531, 13344, 602, 596, 666, 21160, 547, 2769, 2295, 325, 3881, 27742, 693, 1022, 942, 540, 519, 1032, 269, 2913, 873, 917, 875, 2027, 789, 616, 547, 596, 676, 1202, 21564, 741, 2012, 593, 741, 5172, 15908, 6221, 282, 689, 17075, 11084, 9102, 609, 707, 16683, 4266, 547, 2688, 25001, 18995, 519, 8188, 540, 707, 1920, 267, 972, 616, 865, 1082, 8748, 10516, 2093, 602, 596, 949, 1265, 621, 2182, 547, 7017, 593, 1175, 835, 563, 5475, 519, 5822, 2622, 2782, 607, 2486, 2968, 2479, 811, 3413, 23308, 543, 1007, 2029, 543, 2326, 630, 680, 10415, 264, 585, 11442, 5478, 2968, 2139, 267, 9162, 2968, 10464, 543, 24819, 538, 10820, 2066, 519, 5375, 2622, 269, 7324, 519, 811, 1134, 1634, 2472, 540, 519, 476, 4198, 271, 338, 972, 729, 519, 20636, 2754, 6181, 334, 781, 1899, 540, 7990, 995, 954, 24286, 5068, 15839, 4070, 5036, 267, 11676, 1731, 781, 28116, 267, 6004, 269, 8000, 6737, 10361, 267, 519, 15016, 773, 6564, 543, 11059, 2494, 269, 4653, 972, 616, 2780, 1242, 31119, 602, 666, 5431, 543, 2697, 3615, 267, 519, 5639, 540, 741, 8227, 267, 543, 3442, 1851, 7366, 540, 840, 3491, 13559, 4364, 2453, 609, 799, 547, 4431, 269, 634, 2326, 602, 9162, 616, 1500, 689, 723, 4957, 267, 1018, 9162, 666, 798, 814, 4957, 267, 855, 519, 1249, 602, 1453, 1404, 609, 9162, 814, 711, 563, 10387, 334, 10202, 2037, 31008, 7769, 1621, 3626, 17451, 24090, 28529, 518, 4211, 770, 749, 12876, 625, 1299, 654, 23275, 674, 3599, 27211, 22960, 4911, 1564, 16258, 28818, 3171, 626, 344, 623, 1115, 674, 573, 1326, 715, 514, 10937, 15531, 667, 800, 17384, 6261, 29029, 15284, 11846, 31530, 7999, 674, 6064, 334, 674, 584, 9418, 14886, 717, 601, 8584, 6261, 324, 601, 26155, 332, 625, 717, 3424, 262, 292, 916, 24162, 2044, 717, 836, 670, 14900, 12390, 1794, 25431, 13201, 15842, 13201, 15842, 717, 5446, 670, 2255, 7769, 12182, 5453, 1564, 26758, 14740, 10632, 22569, 514, 10740, 9214, 323, 1043, 23397, 2906, 32021, 802, 7414, 30083, 26226, 2622, 3807, 6145, 5851, 918, 262, 301, 1410, 454, 274, 291, 18903, 2920, 643, 1707, 5794, 670, 9233, 5981, 1977, 21756, 10960, 1325, 2917, 10960, 14136, 1323, 7288, 3683, 20142, 633, 21220, 13135, 9741, 5682, 9093, 17926, 1325, 633, 17926, 7788, 629, 749, 17020, 2967, 15016, 773, 15506, 2006, 11135, 21538, 11135, 743, 1177, 645, 754, 344, 543, 519, 769, 330, 10724, 645, 3073, 26709, 339, 2052, 611, 1177, 728, 11846, 23663, 23663, 476, 274, 932, 545, 1723, 4975, 595, 2001, 7637, 9823, 22383, 2677, 335, 27809, 2725, 20550, 582, 745, 343, 2598, 7666, 1047, 18557, 18557, 25905, 14134, 667, 9579, 6840, 14134, 17582, 3220, 821, 29100, 332, 1460, 661, 11155, 15952, 5004, 661, 706, 4149, 7220, 454, 3891, 4843, 519, 15596, 609, 513, 14776, 8405, 331, 864, 269, 1261, 729, 4843, 609, 513, 30407, 693, 519, 16008, 269, 2701, 4843, 513, 2638, 585, 1269, 276, 267, 1822, 547, 519, 17493, 269, 634, 10196, 4843, 1010, 2164, 547, 519, 12233, 269, 2701, 786, 581, 9306, 513, 1957, 593, 2409, 585, 3450, 26613, 693, 519, 10554, 269, 1548, 942, 786, 596, 581, 9306, 286, 1323, 2709, 729, 4843, 585, 938, 7156, 269, 634, 6301, 9335, 26308, 7577, 568, 9306, 9956, 781, 30777, 1985, 3923, 269, 634, 9754, 568, 9306, 606, 14266, 540, 10367, 676, 3933, 564, 563, 5522, 11691, 609, 9162, 568, 2808, 547, 581, 1271, 950, 621, 2501, 547, 3395, 909, 543, 1565, 827, 519, 1158, 1472, 721, 269, 8479, 518, 1453, 946, 9162, 547, 3605, 741, 3961, 267, 948, 741, 4703, 1332, 2178, 267, 1451, 2014, 543, 1198, 267, 2263, 3347, 267, 543, 2259, 1983, 789, 786, 991, 607, 4079, 269, 20661, 593, 8317, 946, 9162, 547, 1106, 543, 7794, 1514, 7554, 267, 4001, 267, 948, 538, 3797, 267, 543, 547, 3314, 543, 12927, 4245, 689, 741, 6107, 563, 272, 9122, 593, 519, 1377, 540, 2121, 1007, 16306, 630, 335, 3420, 1162, 1447, 17099, 264, 602, 616, 11540, 547, 707, 13937, 1520, 2779, 720, 9457, 15258, 2272, 538, 1022, 10865, 536, 3739, 1974, 267, 596, 786, 581, 13886, 547, 513, 10958, 593, 1142, 1396, 516, 540, 17405, 610, 17088, 4492, 602, 568, 12349, 585, 513, 5179, 6174, 693, 8225, 570, 790, 13937, 645, 1513, 1282, 519, 1739, 10865, 536, 3739, 1974, 543, 602, 568, 9901, 547, 707, 13937, 1520, 2779, 720, 9457, 15258, 269, 634, 10958, 602, 596, 4309, 538, 513, 536, 3739, 1974, 786, 581, 4389, 547, 476, 273, 10634, 829, 1396, 516, 1310, 596, 723, 1500, 16306, 540, 811, 982, 1269, 4335, 585, 17405, 267, 17088, 4492, 610, 1022, 824, 31914, 787, 3688, 693, 8225, 570, 790, 13937, 645, 1513, 1282, 602, 536, 3739, 1974, 1210, 707, 13937, 1520, 2779, 720, 9457, 15258, 269, 1280, 2347, 1982, 3877, 5225, 1224, 519, 8225, 570, 790, 13937, 1520, 2779, 720, 9457, 15258, 16301, 543, 2175, 269, 0, 13981, 543, 9752, 454, 289, 5802, 4133, 9142, 20205, 519, 2817, 15099, 693, 6206, 853, 1137, 476, 274, 543, 476, 275, 269, 1280, 2022, 476, 1626, 267, 1082, 540, 938, 1053, 979, 593, 547, 1353, 589, 270, 3008, 20946, 693, 519, 7404, 853, 6601, 526, 534, 779, 14520, 628, 4813, 5441, 610, 519, 14520, 628, 4813, 693, 4270, 1873, 599, 3427, 610, 17368, 517, 7101, 18450, 5441, 563, 4263, 6206, 8609, 476, 274, 267, 1053, 4309, 513, 3376, 543, 7059, 6437, 267, 609, 2027, 8561, 5116, 593, 5355, 7924, 543, 6746, 2329, 607, 1134, 607, 3384, 23559, 1983, 269, 1323, 24665, 730, 24153, 10872, 7028, 782, 23794, 274, 1053, 563, 1103, 5729, 476, 1015, 267, 1053, 723, 519, 4316, 547, 3442, 519, 4999, 540, 5396, 789, 6999, 547, 11654, 538, 6206, 8609, 476, 275, 269, 2368, 4295, 5396, 267, 971, 607, 13174, 267, 2296, 543, 3163, 616, 25471, 269, 4841, 616, 9415, 547, 11654, 513, 2039, 540, 23722, 543, 25367, 6030, 547, 2327, 519, 2115, 540, 1142, 1367, 2875, 616, 1558, 563, 16729, 4879, 540, 3356, 693, 6206, 8609, 476, 274, 267, 585, 930, 1053, 267, 606, 4244, 6437, 568, 6035, 693, 6206, 8609, 476, 275, 267, 609, 11173, 8561, 593, 7924, 543, 6746, 2329, 5916, 609, 12353, 960, 1995, 3255, 269, 634, 4244, 6437, 568, 1152, 6035, 609, 519, 1489, 540, 519, 1367, 2875, 543, 741, 2385, 610, 1416, 337, 563, 1692, 798, 649, 1418, 1047, 1565, 888, 4263, 6206, 8609, 476, 274, 267, 585, 1034, 5396, 267, 1053, 616, 5116, 538, 2516, 3617, 547, 741, 2702, 538, 519, 1641, 269, 6270, 4259, 6087, 519, 4116, 547, 3035, 519, 1655, 1565, 1995, 585, 1142, 1895, 540, 1053, 269, 4329, 267, 519, 4116, 786, 1305, 1114, 4247, 543, 2238, 585, 1053, 1369, 1142, 1895, 547, 2743, 741, 1367, 1565, 2511, 269, 7316, 3617, 267, 930, 1641, 2127, 616, 6026, 547, 6404, 2702, 2516, 563, 4263, 6206, 8609, 476, 275, 267, 1053, 616, 5116, 538, 2516, 538, 4295, 5396, 3617, 547, 741, 2702, 538, 602, 4295, 1641, 269, 26840, 5396, 616, 6026, 538, 6404, 2702, 2516, 593, 519, 2898, 609, 21630, 4247, 799, 4161, 1169, 15226, 693, 8726, 741, 1377, 563, 16391, 5314, 540, 15099, 23527, 454, 268, 3163, 543, 8950, 3163, 454, 268, 11300, 8551, 454, 1103, 1840, 547, 519, 1657, 5396, 6026, 693, 16340, 4133, 9142, 267, 519, 3444, 12200, 5729, 570, 12460, 30581, 5838, 519, 13662, 4047, 292, 15099, 267, 1519, 22893, 1222, 267, 607, 851, 540, 1445, 338, 539, 4626, 564, 762, 544, 1941, 902, 563, 763, 1775, 9596, 10418, 2488, 1565, 6703, 547, 5234, 543, 1053, 267, 1519, 519, 7732, 543, 1646, 540, 552, 2861, 1565, 2200, 269, 11120, 1988, 1331, 24195, 267, 23559, 647, 2572, 543, 606, 1775, 300, 3722, 28495, 516, 563, 13981, 8081, 10418, 454, 763, 4804, 8081, 10418, 630, 11862, 290, 264, 2488, 3606, 1489, 547, 1053, 609, 2027, 3872, 2115, 543, 9124, 607, 1134, 607, 1445, 28410, 593, 3384, 6746, 2329, 543, 7924, 1983, 269, 589, 11285, 2319, 7028, 938, 1053, 538, 543, 856, 540, 4245, 269, 0, 13043, 6435, 281, 8081, 2659, 8866, 1879, 1411, 5620, 3143, 1849, 826, 7316, 547, 3399, 454, 3674, 707, 1126, 10010, 538, 1153, 286, 1411, 4440, 917, 602, 2348, 513, 1906, 2645, 547, 5351, 707, 1126, 609, 2979, 948, 568, 1732, 982, 1175, 835, 2582, 1935, 269, 2755, 17849, 513, 4357, 20131, 666, 581, 513, 5458, 948, 267, 1018, 4523, 519, 1964, 540, 519, 3018, 538, 1063, 11401, 609, 519, 20131, 568, 849, 1271, 269, 1924, 875, 666, 596, 607, 513, 2385, 948, 707, 1126, 1451, 2979, 950, 519, 20131, 3884, 1405, 9361, 7258, 596, 286, 3371, 616, 930, 2093, 912, 5970, 513, 15474, 5900, 3363, 454, 3080, 540, 519, 7887, 23665, 596, 991, 547, 7753, 538, 1931, 547, 581, 454, 17954, 1136, 14068, 7335, 1923, 7335, 24366, 6657, 454, 1805, 745, 31227, 609, 2542, 10467, 286, 901, 2542, 8223, 2259, 3635, 949, 3100, 513, 3787, 9490, 267, 855, 621, 1568, 256, 3367, 593, 607, 570, 1075, 5459, 267, 589, 313, 543, 2228, 20131, 700, 712, 9188, 595, 269, 6941, 519, 834, 12577, 3983, 2542, 257, 1505, 2483, 763, 1034, 4909, 4161, 1034, 1053, 3068, 568, 711, 538, 519, 1543, 267, 621, 781, 538, 3983, 2542, 6208, 269, 634, 11768, 540, 1034, 1257, 538, 519, 5375, 1158, 568, 5276, 267, 1739, 513, 11636, 1899, 540, 7744, 543, 9266, 2219, 689, 4098, 547, 1439, 1510, 4129, 542, 630, 6518, 1775, 454, 277, 12694, 1299, 476, 275, 22436, 20661, 5620, 4804, 19932, 454, 2005, 781, 2760, 1932, 3735, 547, 1451, 513, 2034, 1893, 256, 17610, 267, 3214, 949, 723, 1346, 834, 4944, 784, 344, 257, 12058, 1862, 855, 519, 4641, 568, 267, 972, 616, 1082, 5383, 547, 1565, 513, 1007, 1893, 607, 606, 2937, 269, 3371, 267, 5053, 20131, 29315, 645, 269, 6941, 2483, 2252, 596, 6594, 513, 1893, 538, 1647, 1153, 610, 1164, 1153, 267, 596, 1522, 11291, 519, 2395, 540, 8357, 1944, 13450, 543, 6863, 585, 707, 11400, 269, 9320, 596, 849, 11291, 1565, 609, 8897, 607, 596, 5432, 1242, 3054, 609, 4914, 4992, 267, 1913, 267, 543, 2833, 563, 2026, 606, 2937, 2676, 1692, 547, 5269, 4804, 17773, 8342, 585, 8866, 454, 2691, 596, 2811, 3843, 547, 4001, 1453, 827, 1565, 8454, 267, 1818, 621, 1187, 585, 873, 568, 1271, 269, 6787, 596, 2811, 513, 3743, 2385, 4543, 707, 1126, 609, 6780, 2042, 267, 610, 513, 2979, 20131, 3168, 547, 24996, 909, 930, 3992, 4566, 267, 6220, 930, 1187, 543, 5876, 950, 1565, 8454, 666, 948, 3142, 519, 1377, 540, 1620, 909, 3533, 563, 2691, 1187, 568, 1572, 585, 267, 596, 666, 1405, 8044, 609, 3872, 3756, 256, 634, 1079, 616, 5176, 24190, 256, 1403, 596, 666, 1899, 909, 513, 1906, 3756, 555, 454, 275, 11822, 17778, 547 ]

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

[ 0, 12892, 17607, 22411, 338, 454, 272, 269, 6167, 6468, 269, 14780, 2358, 4656, 827, 3023, 1143, 454, 1607, 5859, 6212, 5616, 3406, 2599, 547, 7188, 880, 519, 5220, 968, 18131, 1058, 2507, 892, 610, 968, 18131, 991, 547, 2560, 892, 543, 875, 519, 1313, 24899, 10968, 2164, 6318, 4656, 540, 519, 2186, 540, 3023, 1143, 602, 568, 1869, 9800, 269, 630, 32046, 676, 29142, 559, 11803, 1299, 631, 1430, 29903, 12467, 273, 269, 14780, 2358, 4656, 827, 519, 4539, 540, 9140, 16678, 2831, 454, 20181, 324, 32160, 2813, 713, 11617, 26648, 5859, 585, 13431, 293, 563, 274, 269, 14780, 2358, 4656, 827, 938, 4006, 6981, 563, 1607, 568, 513, 1788, 676, 513, 5053, 23031, 593, 519, 2179, 540, 4006, 649, 8532, 563, 275, 269, 4563, 22032, 2339, 454, 763, 960, 540, 918, 4673, 21701, 568, 513, 4190, 26841, 540, 519, 18354, 543, 5208, 540, 513, 5198, 563, 300, 718, 775, 19258, 8862, 650, 3554, 338, 593, 1946, 519, 29659, 543, 811, 4190, 6082, 538, 519, 1158, 616, 8200, 593, 824, 6082, 563, 763, 3896, 547, 6443, 519, 11873, 547, 4339, 585, 15213, 267, 8644, 3130, 543, 10456, 563, 276, 269, 14780, 2358, 4656, 827, 4132, 23267, 454, 277, 269, 14780, 2358, 4656, 827, 23582, 20222, 454, 4517, 2507, 9870, 4656, 827, 6469, 6057, 1282, 13044, 912, 763, 8225, 6468, 5748, 9250, 713, 5859, 540, 1688, 6786, 538, 3381, 7125, 547, 1397, 596, 991, 948, 269, 0, 4897, 657, 807, 8768, 2495, 454, 4467, 618, 269, 9717, 741, 12050, 24698, 267, 621, 1131, 581, 2182, 547, 11716, 519, 13513, 540, 1142, 540, 519, 1455, 4778, 267, 543, 875, 789, 949, 5330, 547, 1018, 596, 616, 3843, 547, 2769, 269, 18882, 22966, 657, 807, 568, 513, 4759, 540, 519, 2549, 541, 13183, 1920, 543, 9428, 538, 9341, 4525, 538, 4000, 267, 5607, 267, 12868, 543, 3162, 3013, 269, 1358, 616, 849, 2219, 547, 581, 1360, 3730, 538, 7067, 824, 2960, 2175, 543, 8886, 725, 267, 607, 1134, 607, 3750, 2042, 267, 7988, 22202, 543, 1256, 16063, 22074, 269, 6423, 811, 2093, 827, 12518, 267, 22966, 657, 807, 8768, 267, 26540, 269, 634, 22966, 657, 807, 5810, 602, 594, 11751, 15538, 540, 476, 274, 3818, 23469, 5810, 829, 8708, 267, 799, 1942, 1269, 273, 269, 7176, 829, 8708, 269, 512, 753, 344, 269, 22966, 657, 807, 2501, 689, 519, 5259, 2262, 3852, 374, 24341, 16575, 14267, 19084, 267, 14733, 737, 601, 657, 267, 2495, 14616, 267, 13288, 547, 519, 8768, 2560, 9717, 602, 968, 4897, 657, 807, 892, 568, 6508, 689, 519, 5259, 2262, 968, 30448, 657, 2223, 610, 968, 14315, 539, 2223, 621, 568, 711, 9670, 547, 1265, 602, 891, 2371, 616, 3006, 1031, 538, 513, 533, 14115, 823, 547, 12115, 14616, 2960, 269, 22966, 657, 807, 630, 290, 4169, 18474, 264, 1107, 18748, 542, 267, 13737, 640, 267, 521, 650, 1465, 269, 901, 1880, 8768, 2501, 538, 476, 276, 623, 8008, 303, 5058, 4778, 2507, 907, 1042, 1107, 10538, 1107, 11909, 1107, 5835, 1107, 543, 13711, 269, 22966, 657, 807, 595, 2077, 1092, 779, 8966, 25649, 5920, 568, 1141, 519, 8768, 4991, 922, 1455, 2012, 540, 2048, 322, 4169, 18474, 13767, 657, 807, 8730, 1247, 22966, 657, 807, 1773, 636, 6242, 568, 1419, 1572, 2048, 7468, 1550, 540, 12986, 17207, 9957, 1677, 930, 267, 519, 6505, 25243, 32395, 666, 21843, 10100, 267, 6612, 543, 21755, 282, 10538, 568, 3006, 2404, 609, 5876, 543, 12050, 1145, 540, 6891, 282, 1247, 5835, 666, 1611, 17869, 6888, 267, 8788, 543, 4708, 269, 22966, 657, 807, 27003, 27003, 966, 1162, 27003, 623, 1824, 4144, 344, 27003, 27003, 28081, 906, 12338, 27003, 12567, 27003, 12426, 27003, 23426, 12096, 26540, 22966, 657, 807, 22966, 3118, 17186, 13689, 593, 707, 3395, 2175, 267, 22966, 3118, 8677, 666, 581, 3812, 538, 3039, 17346, 267, 1164, 25310, 610, 2047, 856, 538, 519, 2361, 269, 634, 2030, 568, 1336, 538, 5101, 4000, 779, 1164, 4133, 1141, 789, 616, 1572, 2048, 332, 325, 2426, 340, 685, 538, 4210, 1695, 8270, 269, 2073, 1358, 616, 17580, 15022, 22954, 596, 666, 1039, 547, 707, 4677, 267, 543, 723, 513, 6492, 711, 7429, 22156, 269, 4239, 476, 4029, 267, 476, 1001, 279, 910, 10812, 7353, 2674, 274, 781, 4604, 834, 290, 601, 657, 807, 257, 593, 26964, 269, 5810, 1358, 616, 5156, 547, 581, 1644, 547, 2549, 15546, 2195, 269, 22966, 657, 807, 568, 513, 9341, 10786, 17675, 2030, 6738, 607, 606, 5993, 538, 1034, 540, 3345, 3013, 269, 476, 2412, 269, 634, 12572, 2495, 1759, 593, 519, 7423, 24189, 8768, 779, 2681, 568, 849, 1713, 547, 1174, 865, 602, 596, 4465, 1406, 3765, 548, 611, 538, 4758, 610, 23187, 519, 5048, 269, 9502, 540, 13767, 657, 807, 269, 1306, 1134, 607, 1373, 10875, 538, 5920, 267, 519, 25836, 13767, 657, 807, 8768, 568, 849, 2808, 547, 581, 513, 1360, 3730, 2030, 269, 10439, 14040, 5621, 516, 1361, 324, 647, 674, 1640, 328, 267, 623, 5050, 324, 267, 674, 328, 648, 546, 7578, 6612, 324, 269, 1358, 782, 2097, 538, 11495, 267, 7524, 18707, 540, 2699, 267, 10538, 543, 5835, 267, 607, 1134, 607, 4154, 267, 9174, 543, 3006, 1256, 11909, 269, 634, 22966, 657, 807, 2030, 568, 606, 5993, 546, 545, 582, 344, 1194, 517, 269, 476, 274, 1040, 6465, 823, 568, 1776, 2442, 6445, 518, 8768, 678, 1057, 609, 2495, 269, 2433, 1022, 540, 513, 12593, 630, 290, 601, 657, 807, 264, 540, 9341, 5993, 11922, 630, 7945, 607, 524, 4169, 18474, 264, 540, 519, 993, 541, 13183, 1920, 602, 723, 14595, 3762, 543, 1397, 344, 8768, 26389, 1419, 8108, 13692, 344, 13421, 538, 2560, 11660, 8745, 281, 22966, 657, 807, 24094, 269, 2659, 4757, 2232, 786, 711, 581, 3370, 269, 11660, 2090, 540, 519, 13767, 657, 807, 2415, 550, 20660, 723, 849, 26857, 9621, 2164, 602, 1397, 602, 891, 2371, 949, 957, 607, 606, 4550, 26817, 12185, 269, 4778, 4924, 476, 2190, 267, 476, 1001, 279, 910, 10812, 25138, 27956, 1084, 22138, 781, 4604, 834, 290, 601, 657, 807, 2580, 4553, 676, 476, 13893, 1004, 593, 26964, 269, 18630, 281, 769, 10851, 476, 1015, 543, 476, 1556, 267, 713, 8768, 666, 581, 6738, 607, 513, 21064, 2030, 538, 8708, 10651, 16638, 824, 10851, 267, 519, 13767, 657, 807, 8768, 568, 2356, 6738, 607, 606, 5993, 8768, 269, 4826, 281, 5901, 519, 13767, 657, 807, 8768, 781, 29238, 3037, 5848, 267, 855, 711, 6632, 269, 1358, 616, 5993, 2371, 540, 9341, 5169, 543, 616, 10786, 17675, 2495, 789, 3668, 513, 29762, 6565, 267, 609, 513, 2786, 267, 30861, 543, 796, 1962, 534, 3481, 6565, 269, 594, 729, 2111, 547, 1205, 782, 4778, 267, 4849, 13711, 269, 634, 595, 4169, 18474, 8768, 18742, 689, 3735, 4832, 998, 3735, 2887, 269, 6258, 875, 707, 6085, 1239, 568, 9268, 269, 634, 3762, 540, 1896, 13767, 657, 807, 2249, 616, 4749, 10057, 607, 513, 3940, 11656, 21364, 10448, 269, 2073, 6145, 922, 23013, 267, 519, 993, 541, 13183, 8768, 267, 621, 568, 1767, 547, 723, 1082, 3096, 538, 519, 11477, 7706, 269, 22966, 657, 807, 13513, 281, 22966, 657, 807, 23327, 23629, 1275, 2073, 15754, 2073, 14246, 2073, 9644, 543, 11505, 1547, 5680, 5071, 634, 13598, 2012, 568, 6508, 689, 519, 9147, 5259, 2262, 3852, 374, 394, 362, 16575, 15770, 14267, 19084, 630, 330, 21681, 501, 548, 657, 1070, 2495, 834, 321, 9506, 2580, 543, 4016, 547, 519, 18723, 6438, 8768, 9843, 269, 634, 8768, 781, 2012, 568, 2303, 633, 540, 513, 887, 8803, 781, 2036, 269, 15661, 616, 4122, 1634, 607, 15144, 25154, 267, 610, 267, 952, 519, 8768, 9843, 616, 1212, 23264, 676, 535, 30913, 566, 267, 524, 4169, 1260, 2125, 269, 634, 12593, 2012, 2501, 689, 519, 5259, 2262, 968, 30448, 657, 5608, 799, 1797, 968, 14315, 539, 892, 610, 968, 321, 9506, 5608, 13288, 547, 519, 8768, 9843, 602, 1413, 899, 26428, 269, 634, 13598, 2012, 568, 6508, 689, 519, 9147, 5259, 2262, 3852, 374, 394, 362, 16575, 15770, 14267, 19084, 630, 330, 21681, 501, 548, 657, 1070, 2495, 8781, 267, 543, 4016, 547, 519, 18723, 6438, 8768, 9843, 269, 22966, 657, 807, 10301, 513, 4463, 540, 476, 3374, 268, 2412, 4699, 267, 814, 513, 5594, 25970, 32709, 543, 2115, 4986, 6306, 689, 2614, 1216, 547, 1832, 15496, 18991, 585, 3275, 269, 634, 2371, 616, 1134, 1634, 538, 5101, 4000, 781, 1164, 4133, 543, 616, 1031, 896, 741, 4210, 1695, 8270, 2012, 267, 544, 325, 2426, 340, 269, 14105, 21118, 532, 269, 1403, 789, 723, 1212, 23264, 8768, 9843, 267, 1287, 789, 616, 849, 1634, 607, 524, 4169, 1260, 2125, 269, 1358, 616, 2219, 547, 581, 835, 540, 519, 2479, 331, 8463, 8677, 540, 32395, 267, 543, 616, 4122, 12015, 269, 595, 269, 838, 545, 1092, 267, 838, 27419, 524, 4169, 18474, 267, 568, 849, 1634, 607, 10568, 13767, 657, 807, 585, 922, 7522, 267, 838, 1731, 344, 8768, 9843, 267, 24188, 540, 9843, 540, 10568, 269, 769, 1840, 547, 1373, 1031, 607, 513, 9735, 1426, 20013, 267, 891, 2371, 616, 3006, 4294, 547, 6575, 543, 13492, 269, 1358, 616, 1419, 5116, 538, 12417, 609, 824, 3819, 5810, 267, 855, 789, 949, 849, 1118, 9735, 4099, 20355, 267, 607, 1134, 607, 8966, 7802, 17960, 543, 530, 805, 26387, 1107, 799, 616, 4749, 2813, 585, 2353, 12142, 779, 4303, 269, 2073, 19643, 24189, 8768, 2067, 4778, 616, 5835, 543, 3039, 269, 1358, 616, 849, 5828, 883, 24799, 267, 12403, 539, 543, 5116, 883, 27130, 267, 610, 22304, 609, 18717, 267, 18654, 10433, 543, 13342, 269, 1975, 29107, 676, 2433, 305, 599, 11511, 725, 269, 634, 28212, 3132, 5810, 602, 616, 2901, 726, 2541, 6438, 630, 290, 601, 657, 807, 623, 2086, 553, 1773, 2541, 264, 610, 1212, 23264, 630, 1492, 595, 4169, 1260, 2125, 1040, 4706, 4870, 2803, 322, 1878, 616, 3622, 811, 838, 1731, 601, 833, 982, 1212, 23264, 269, 634, 1034, 1455, 835, 568, 519, 5835, 7423, 24189, 8768, 269, 5961, 5680, 21118, 532, 3127, 543, 22966, 657, 807, 4214, 281, 1022, 540, 1896, 2249, 630, 2102, 639, 22966, 657, 807, 3738, 540, 519, 993, 541, 13183, 1920, 267, 540, 5993, 4677, 2371, 1862, 1923, 12791, 267, 12332, 267, 16627, 543, 1806, 901, 2376, 729, 1034, 5063, 15428, 543, 8242, 676, 9253, 20811, 8891, 745, 3960, 10314, 267, 19608, 15503, 269, 22966, 657, 807, 267, 4122, 1634, 607, 968, 342, 944, 25154, 2223, 616, 2818, 540, 519, 993, 541, 13183, 1920, 269, 769, 16241, 24583, 3000, 625, 269, 1677, 930, 267, 519, 13767, 657, 807, 8768, 4564, 513, 1978, 18174, 880, 1145, 282, 547, 1866, 267, 789, 2099, 513, 7772, 748, 267, 9296, 6088, 15754, 269, 2371, 634, 22966, 657, 807, 1772, 1323, 3798, 1043, 27003, 269, 22966, 657, 5362, 1107, 799, 616, 2818, 540, 519, 993, 541, 13183, 19687, 1920, 543, 993, 541, 13183, 334, 728, 2801, 1016, 26967, 1107, 616, 1767, 547, 723, 12090, 593, 519, 3819, 19527, 540, 4000, 267, 1498, 713, 1650, 568, 8185, 23503, 267, 607, 789, 616, 849, 12212, 5116, 538, 4525, 540, 3127, 267, 543, 22586, 2127, 540, 1312, 3345, 543, 3162, 3013, 269, 22966, 657, 807, 616, 2371, 689, 519, 993, 541, 13183, 19687, 267, 799, 568, 519, 1920, 540, 993, 541, 13183, 269, 7233, 7392, 281, 4173, 321, 17675, 8768, 267, 6140, 6738, 607, 606, 5993, 8752, 281, 634, 524, 4169, 18474, 8768, 3340, 2407, 3141, 547, 798, 1655, 269, 15661, 616, 4122, 1634, 607, 15144, 25154, 1452, 3623, 5652, 5810, 4268, 5594, 538, 5920, 269, 589, 4759, 540, 519, 2549, 541, 13183, 1920, 267, 621, 3568, 827, 476, 2568, 2249, 5065, 547, 2694, 540, 5607, 543, 4000, 269, 634, 8768, 4778, 616, 711, 607, 6505, 607, 609, 824, 2010, 267, 855, 789, 2097, 538, 9782, 1790, 1074, 267, 3043, 543, 4158, 2699, 8677, 269, 595, 4169, 18474, 4214, 267, 519, 2036, 610, 1286, 684, 2193, 540, 513, 15483, 269, 14351, 6763, 585, 5898, 2479, 331, 8463, 543, 513, 7772, 748, 6126, 1272, 269, 3371, 568, 519, 1439, 1267, 540, 1250, 1788, 269, 2073, 1022, 2030, 540, 519, 12593, 22966, 657, 807, 267, 2348, 1507, 267, 2356, 2699, 610, 5835, 880, 5810, 538, 10053, 267, 1212, 23264, 610, 20034, 601, 833, 26389, 269, 24718, 524, 4169, 18474, 630, 3698, 269, 932, 24075, 656, 1335, 636, 26540, 910, 24436, 1299, 6399, 902, 267, 4457, 28469, 1181, 26540, 910, 24436, 1299, 6399, 902, 267, 22216, 787, 2349, 1601, 558, 26540, 910, 24436, 1299, 6399, 902, 267, 25376, 326, 664, 6807, 320, 7233 ]

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

[ 5426, 1384, 2171, 666, 2759, 513, 1507, 6906, 1055, 519, 7944, 540, 513, 4009, 543, 1287, 3514, 519, 1079, 4773, 1927, 269, 2052, 596, 960, 856, 875, 891, 5546, 616, 1500, 689, 519, 1079, 4773, 2496, 2162, 20472, 27984, 3613, 3863, 338, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 13014, 513, 13306, 856, 540, 2269, 9749, 543, 723, 513, 979, 693, 713, 4052, 4161, 780, 2162, 26271, 531, 10222, 9201, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 8196, 519, 3515, 593, 713, 4137, 547, 1397, 875, 519, 4009, 666, 581, 5258, 883, 476, 273, 30556, 267, 476, 274, 555, 8674, 267, 476, 277, 3670, 2195, 543, 476, 280, 562, 514, 2195, 780, 2162, 2913, 2974, 14484, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 8489, 666, 596, 2322, 519, 11604, 2066, 519, 4009, 865, 602, 596, 666, 1869, 834, 5408, 257, 519, 2898, 4009, 286, 1215, 1082, 1114, 7158, 616, 2009, 2496, 2162, 14208, 3591, 270, 549, 701, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 29613, 553, 585, 4052, 2081, 540, 8204, 1239, 971, 607, 966, 3317, 543, 2961, 2651, 12222, 780, 2162, 18599, 4469, 5792, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 20059, 580, 622, 519, 10545, 1297, 540, 7575, 621, 3217, 547, 2490, 891, 1319, 338, 26700, 16365, 952, 596, 666, 1152, 2490, 4010, 1614, 693, 513, 942, 780, 2162, 9741, 2494, 692, 7462, 6520, 476, 276, 547, 476, 278, 7420, 5426, 1384, 763, 2494, 568, 1454, 4130, 982, 721, 269, 2052, 596, 946, 519, 4605, 540, 1864, 1985, 547, 513, 544, 1872, 547, 7447, 1010, 4463, 543, 875, 1454, 7401, 646, 10425, 2496, 2162, 589, 4975, 540, 570, 10183, 692, 7462, 6520, 476, 276, 547, 476, 278, 7420, 5426, 1384, 1103, 713, 4884, 267, 8075, 616, 3710, 609, 835, 4055, 585, 1142, 1268, 269, 1703, 616, 930, 3885, 540, 5722, 1004, 2713, 538, 519, 4884, 269, 769, 875, 1082, 1114, 2081, 666, 789, 1628, 741, 8075, 2496, 2162, 8414, 16199, 1324, 692, 7462, 6520, 476, 276, 547, 476, 278, 7420, 5426, 1384, 4692, 596, 8237, 1142, 540, 519, 5546, 2630, 538, 3368, 865, 602, 519, 1079, 2694, 616, 4010, 519, 1482, 2496, 2162, 623, 4202, 540, 10606, 692, 7462, 6520, 476, 276, 547, 476, 278, 7420, 5426, 1384, 2252, 596, 723, 4557, 27669, 22921, 476, 272, 547, 476, 1015, 267, 875, 1082, 666, 596, 2322, 883, 8424, 602, 1039, 547, 476, 1015, 286, 6904, 3283, 798, 596, 723, 547, 4734, 856, 286, 4208, 2496, 2162, 15147, 519, 570, 2001, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 4322, 4052, 2591, 616, 782, 827, 1818, 513, 1412, 339, 2001, 262, 543, 8720, 621, 609, 1957, 780, 2162, 6875, 2290, 5450, 516, 692, 7462, 6520, 476, 276, 547, 476, 278, 7420, 5426, 1384, 2791, 786, 991, 513, 1279, 14816, 540, 1957, 585, 713, 4305, 269, 12338, 621, 883, 1114, 13080, 269, 1215, 1223, 596, 1265, 856, 875, 1279, 1142, 4062, 568, 2496, 2162, 2961, 17714, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 1607, 4052, 2534, 3322, 7893, 3259, 7933, 2700, 780, 2162, 645, 2714, 956, 630, 273, 2020, 7462, 6520, 476, 276, 547, 476, 278, 7420, 5426, 1384, 1103, 713, 2534, 2519, 593, 4390, 267, 596, 786, 991, 513, 4015, 540, 1114, 30660, 543, 14569, 780, 2162, 645, 2714, 956, 630, 272, 2020, 7462, 6520, 476, 276, 547, 476, 278, 7420, 5426, 1384, 2690, 713, 2534, 799, 7710, 4390, 267, 596, 786, 991, 547, 2445, 930, 14569, 543, 30660, 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 ]

[ 0, 763, 13105, 568, 519, 1034, 5985, 4745, 540, 519, 1560, 267, 5827, 540, 513, 5318, 2039, 540, 5322, 14178, 856, 2072, 267, 1524, 2072, 267, 1657, 938, 9843, 267, 3297, 938, 19758, 543, 865, 593, 563, 4415, 1390, 8112, 2501, 513, 1390, 5539, 585, 519, 4745, 547, 2611, 7123, 269, 2755, 938, 17525, 798, 513, 3622, 1434, 2816, 540, 621, 267, 13105, 1928, 543, 824, 2152, 616, 9765, 5944, 1455, 563, 257, 19675, 518, 2042, 616, 1360, 1455, 2437, 3220, 1488, 684, 10548, 28385, 267, 7548, 540, 9647, 30249, 14037, 6391, 693, 12370, 6481, 3427, 267, 6645, 12370, 2657, 563, 763, 13105, 4745, 568, 11141, 855, 8886, 908, 569, 18633, 269, 4706, 2039, 540, 3350, 3762, 621, 7925, 547, 5945, 267, 543, 1928, 666, 1020, 538, 1312, 519, 2110, 543, 1279, 2165, 563, 763, 1034, 1455, 3123, 540, 13105, 1928, 454, 9199, 6373, 543, 5945, 454, 9199, 6373, 543, 5945, 547, 519, 13105, 616, 930, 540, 519, 1034, 1455, 3123, 540, 13105, 1928, 563, 11514, 331, 6327, 540, 519, 13105, 568, 519, 1034, 1455, 4745, 20247, 6327, 267, 8051, 585, 936, 3368, 540, 782, 4745, 20247, 23148, 269, 2368, 2959, 2303, 602, 10199, 476, 272, 269, 278, 260, 540, 519, 2698, 2551, 786, 7985, 513, 13105, 20247, 6327, 693, 930, 1448, 538, 741, 2729, 563, 5415, 982, 3368, 540, 13105, 20247, 23148, 2049, 1063, 519, 6502, 540, 476, 1428, 543, 476, 3066, 19962, 547, 513, 4999, 540, 2799, 2168, 2534, 543, 3152, 4745, 10688, 563, 763, 1981, 568, 5207, 585, 1762, 2367, 267, 855, 972, 568, 513, 13581, 2333, 538, 1981, 585, 2021, 1657, 519, 2085, 540, 476, 2004, 849, 269, 1717, 267, 13105, 20247, 6327, 666, 1869, 2049, 693, 1022, 942, 563, 19675, 518, 20247, 6327, 3123, 519, 4232, 1807, 524, 4428, 28587, 547, 12701, 543, 15237, 543, 949, 2014, 5945, 547, 519, 2978, 5300, 267, 513, 4062, 540, 20162, 602, 18795, 2509, 519, 3490, 540, 519, 13105, 267, 543, 519, 20162, 23555, 602, 14014, 519, 1283, 540, 519, 4745, 563, 1103, 329, 3753, 547, 519, 2978, 5300, 543, 4232, 1807, 524, 4428, 666, 2014, 16132, 799, 5012, 547, 10956, 20247, 23148, 543, 5312, 1928, 563, 5194, 13105, 8194, 568, 2909, 577, 658, 533, 2716, 639, 5945, 267, 799, 568, 1455, 538, 3346, 5026, 267, 849, 1634, 607, 513, 2048, 560, 5424, 685, 5945, 538, 24821, 2421, 563, 24154, 577, 658, 533, 2716, 639, 7063, 2049, 950, 519, 13285, 2066, 519, 13105, 543, 8405, 616, 15504, 689, 519, 5160, 610, 267, 538, 3665, 2665, 267, 11207, 678, 5792, 689, 519, 11983, 10260, 563, 2662, 12241, 713, 4992, 21472, 267, 1034, 2909, 577, 658, 533, 2716, 639, 7063, 12115, 11207, 609, 8766, 6304, 563, 268, 9701, 518, 8194, 543, 5945, 616, 930, 540, 519, 1034, 1455, 4745, 7063, 563, 268, 4107, 13105, 20247, 23148, 2049, 538, 7820, 1004, 267, 855, 789, 666, 2049, 693, 1022, 2085, 563, 268, 4495, 513, 13105, 20247, 665, 919, 267, 621, 779, 1455, 547, 1995, 5571, 16132, 538, 519, 4745, 563, 268, 4858, 577, 658, 533, 2716, 639, 7063, 547, 519, 5580, 13105, 543, 8405, 616, 1776, 1826, 540, 13105, 5945, 602, 3322, 5945, 547, 519, 13285, 563, 268, 9701, 518, 20247, 23148, 616, 711, 2523, 5906, 865, 1279, 607, 519, 4745, 568, 882, 11343, 3833, 3533, 267, 23679, 1369, 3368, 606, 5662, 547, 606, 5662, 269, 901, 11151, 2417, 11926, 543, 6553, 269, 8409, 945, 1995, 10956, 20247, 23148, 1419, 1265, 513, 1259, 540, 882, 20814, 519, 4745, 2933, 563, 6635, 9374, 543, 824, 12982, 2175, 454, 12024, 1022, 4745, 538, 519, 1560, 267, 519, 13105, 568, 12155, 547, 5957, 7146, 2389, 792, 3056, 547, 30169, 269, 28039, 15436, 1355, 12263, 666, 849, 1860, 519, 13105, 4745, 563, 1103, 25691, 538, 519, 4745, 666, 2014, 1928, 267, 20765, 543, 15176, 10688, 269, 901, 568, 835, 540, 519, 811, 1455, 3123, 540, 13105, 1928, 538, 4587, 2043, 269, 1717, 267, 13105, 12263, 568, 4440, 1447, 1455, 982, 12263, 538, 824, 10549, 899, 519, 19704, 267, 25637, 267, 1394, 267, 11263, 543, 8405, 563, 5194, 12982, 2783, 602, 666, 1860, 519, 13105, 568, 536, 2720, 4345, 267, 606, 6553, 540, 519, 5714, 23752, 5485, 338, 602, 31289, 519, 10549, 563, 268, 5637, 30169, 543, 27131, 12263, 666, 2014, 13105, 1928, 563, 268, 1488, 9374, 3123, 519, 1585, 3889, 538, 519, 13105, 547, 5957, 543, 1831, 28332, 563, 268, 645, 2720, 4345, 568, 1776, 12982, 2783, 602, 3123, 519, 5714, 23752, 5485, 338, 1472, 519, 13105, 547, 1831, 28332, 563, 268, 9701, 518, 12263, 666, 2097, 543, 979, 610, 949, 1831, 513, 811, 5312, 3390, 282, 621, 779, 849, 1644, 547, 13792, 13105, 563, 293, 549, 7999, 13105, 568, 811, 1455, 538, 519, 936, 268, 2004, 338, 543, 568, 27537, 676, 1799, 984, 559, 2358, 1928, 538, 519, 13105, 563, 293, 549, 7999, 13105, 568, 3622, 3361, 676, 4028, 12614, 540, 2199, 2213, 6553, 1472, 519, 13105, 4745, 269, 898, 949, 581, 3361, 676, 513, 27506, 5346, 540, 12263, 543, 568, 4440, 811, 2693, 547, 2049, 538, 1346, 945, 723, 4810, 13105, 7063, 1354, 563, 268, 31530, 7999, 13105, 568, 1869, 711, 4628, 6956, 267, 855, 621, 2356, 3322, 2199, 2213, 6553, 1472, 519, 13105, 4745, 563, 268, 589, 11213, 2783, 267, 13792, 13105, 666, 581, 29134, 543, 949, 1256, 1491, 1296, 547, 1016, 2515, 4625, 563, 268, 31530, 7999, 13105, 568, 811, 1455, 538, 1346, 609, 4745, 5957, 7146, 2389, 792, 267, 513, 1686, 540, 12982, 2068, 610, 1346, 945, 723, 4810, 13105, 8194, 610, 7063, 563, 29587, 6285, 543, 13105, 1928, 454, 2005, 779, 1271, 547, 3314, 602, 1928, 10237, 908, 2429, 519, 9221, 543, 13105, 267, 3226, 519, 2451, 13105, 267, 666, 581, 513, 1129, 540, 513, 2295, 4323, 563, 27269, 267, 519, 1928, 10237, 919, 909, 547, 519, 24060, 543, 1524, 519, 6186, 1932, 269, 1280, 2367, 267, 519, 1928, 568, 2356, 4330, 607, 11493, 543, 949, 581, 10483, 676, 26032, 540, 7362, 267, 804, 20632, 2960, 543, 1769, 20243, 1145, 269, 1280, 2021, 267, 2295, 4323, 1928, 543, 2589, 616, 1419, 811, 11029, 563, 8448, 3123, 540, 13105, 1928, 454, 19675, 518, 1928, 3884, 1406, 2141, 3361, 676, 519, 4745, 3294, 269, 26298, 9395, 1145, 610, 838, 1778, 538, 519, 1394, 267, 8405, 267, 9221, 610, 17525, 666, 2014, 13105, 1928, 563, 19675, 518, 1928, 949, 1267, 689, 4057, 14302, 267, 16625, 8833, 267, 4887, 838, 23230, 543, 15319, 6091, 689, 936, 1740, 610, 936, 268, 2169, 3290, 563, 2750, 2075, 2478, 585, 8405, 543, 13105, 1928, 454, 19865, 543, 1610, 23956, 666, 20427, 2087, 13105, 1928, 563, 2252, 596, 4076, 4810, 513, 13105, 5945, 610, 13792, 13105, 267, 1287, 707, 4387, 1058, 3277, 596, 585, 1610, 23956, 269, 901, 786, 1376, 609, 606, 4879, 540, 707, 13105, 6617, 267, 3350, 543, 4222, 269, 2659, 1610, 1470, 786, 1491, 596, 998, 930, 5751, 602, 666, 7930, 25580, 4222, 543, 22231, 269, 898, 781, 2629, 547, 1376, 7444, 543, 1628, 909, 3350, 693, 513, 11931, 10605, 547, 2057, 5368, 329, 1722, 563, 2252, 596, 2461, 7680, 13105, 1928, 1813, 547, 4887, 9395, 1145, 267, 15319, 1145, 610, 824, 1875, 32034, 7063, 267, 596, 666, 3391, 3054, 998, 707, 1378, 13105, 3635, 12512, 269, 1717, 267, 2141, 3717, 547, 513, 4387, 952, 596, 1589, 596, 991, 519, 3039, 1769, 547, 3635, 707, 13105, 1510, 3318, 6351, 563, 2690, 13105, 543, 8405, 1928, 267, 519, 8405, 5305, 568, 606, 5140, 3635, 602, 666, 849, 948, 609, 1928, 4611, 689, 3983, 14302, 269, 898, 3322, 16089, 519, 2212, 865, 707, 24060, 18795, 593, 707, 5580, 1394, 543, 9900, 2220, 11691, 519, 8405, 689, 2427, 547, 2427, 267, 21266, 1154, 621, 2509, 519, 17525, 563, 268, 30557, 610, 9361, 267, 1577, 519, 2212, 6749, 547, 519, 9221, 454, 268, 28528, 32022, 707, 2212, 689, 2427, 547, 2427, 454, 268, 19244, 593, 1312, 5011, 454, 5194, 1769, 3635, 602, 568, 1390, 585, 13105, 543, 8405, 1928, 269, 717, 8692, 519, 1394, 540, 707, 10160, 609, 707, 1688, 543, 7485, 707, 8731, 810, 1472, 547, 1413, 3297, 596, 269, 5901, 519, 25637, 6849, 4464, 563, 268, 1530, 730, 267, 17945, 519, 1394, 540, 707, 11381, 454, 268, 29553, 707, 8731, 810, 543, 1394, 1472, 547, 1413, 3297, 596, 454, 268, 5901, 519, 25637, 6849, 4464, 454, 10907, 1484, 519, 9221, 12701, 454, 3080, 540, 519, 1655, 13105, 16405, 5751, 585, 31811, 32609, 614, 640, 538, 519, 4395, 543, 1394, 540, 519, 4745, 269, 901, 9543, 12701, 11226, 609, 8112, 269, 898, 3322, 17444, 707, 6186, 9900, 2066, 707, 9221, 269, 901, 568, 513, 3335, 2922, 2990, 585, 1346, 609, 18633, 13105, 10549, 563, 268, 30557, 267, 3142, 707, 6186, 2066, 707, 9221, 454, 268, 29553, 707, 6186, 2509, 707, 9221, 9900, 609, 707, 824, 6186, 865, 596, 666, 1745, 707, 13105, 6091, 12701, 454, 268, 19244, 609, 1312, 7916, 454, 2750, 2075, 2478, 585, 15319, 17525, 454, 30265, 10580, 543, 23638, 454, 301, 9391, 22252, 15565, 891, 2010, 540, 1769, 5751, 585, 1346, 945, 616, 711, 2943, 4712, 585, 4222, 2866, 269, 1358, 4125, 16304, 707, 6186, 1055, 513, 3349, 543, 2220, 15781, 621, 1394, 267, 8521, 543, 1472, 538, 1507, 10580, 563, 268, 2274, 534, 936, 513, 11380, 610, 3349, 267, 19755, 707, 1394, 2509, 476, 3445, 5232, 454, 268, 2913, 707, 6186, 6001, 454, 268, 28528, 1847, 707, 6186, 1394, 543, 8521, 454, 268, 8844, 707, 6186, 5180, 538, 10580, 454, 5141, 5684, 539, 6186, 6318, 454, 763, 804, 5684, 539, 6186, 6318, 568, 5140, 585, 11222, 22626, 13676, 17525, 607, 621, 8952, 17525, 1927, 538, 513, 3335, 7123, 2990, 269, 1849, 5684, 707, 3946, 538, 4395, 540, 707, 1560, 543, 9900, 12740, 873, 909, 543, 1524, 547, 3635, 519, 17525, 269, 1411, 666, 1039, 513, 1769, 2597, 267, 899, 513, 1216, 11480, 267, 952, 596, 2811, 8746, 609, 519, 2990, 563, 268, 30557, 909, 267, 1747, 707, 3946, 538, 4395, 540, 707, 1560, 543, 804, 5684, 873, 1927, 454, 268, 28528, 1847, 707, 7916, 909, 543, 1524, 454, 268, 5213, 1406, 7485, 707, 7916, 3564, 519, 1394, 540, 707, 2212, 454, 4910, 2700, 13164, 2709, 513, 5266, 2922, 543, 3551, 1259, 547, 960, 856, 519, 17525, 267, 1394, 543, 9221, 6091, 269, 3367, 938, 3391, 593, 1210, 4187, 13164, 1934, 585, 513, 2143, 15059, 540, 519, 1082, 2010, 540, 5751, 596, 666, 798, 609, 4187, 13164, 563, 2690, 519, 17525, 267, 2119, 513, 1412, 637, 2700, 6512, 7485, 6306, 3299, 1141, 596, 3180, 519, 6512, 13105, 2914, 5954, 6306, 543, 7930, 7485, 856, 2072, 269, 3619, 3500, 282, 596, 12582, 1405, 946, 4187, 13164, 26490, 1947, 563, 268, 15579, 519, 4187, 6512, 538, 707, 3946, 538, 4395, 540, 707, 1560, 454, 268, 28528, 7485, 519, 6512, 6306, 454, 268, 3399, 2539, 1354, 9870, 707, 3946, 2509, 13105, 4463, 454, 268, 5213, 1406, 9765, 13105, 8700, 693, 1101, 454, 1805, 31104, 2866, 585, 13105, 1928, 454, 1805, 31104, 2866, 13976, 4887, 1472, 519, 17525, 267, 9395, 2287, 519, 4745, 543, 5355, 6617, 269, 898, 779, 2629, 711, 547, 7914, 519, 7784, 950, 621, 2501, 547, 4222, 2866, 267, 3226, 952, 596, 4312, 11124, 513, 13105, 5945, 563, 2252, 596, 1995, 13105, 1928, 1282, 11319, 5751, 610, 1022, 824, 2597, 24481, 5751, 267, 621, 781, 1898, 547, 3247, 543, 2708, 3054, 543, 3343, 5796, 952, 2877, 269, 11408, 5077, 707, 4387, 610, 1610, 19708, 1905, 626, 952, 596, 2461, 18516, 563, 5649, 938, 3391, 593, 4222, 2866, 585, 519, 936, 268, 2004, 338, 1934, 282, 621, 3568, 930, 5140, 5751, 602, 666, 1205, 596, 3323, 563, 10673, 1406, 30391, 519, 2956, 540, 824, 2010, 540, 3635, 269, 2353, 5751, 979, 930, 1259, 547, 5355, 10009, 267, 8112, 267, 4222, 267, 10688, 543, 8516, 269, 6744, 856, 519, 853, 11691, 15765, 1858, 540, 519, 3135, 585, 3635, 2093, 267, 8516, 20816, 543, 5363, 4388, 543, 15361, 602, 666, 948, 596, 10726, 13105, 1928, 269, 0, 16449, 519, 3676, 602, 616, 10299, 998, 519, 2011, 538, 1840, 547, 13044, 268, 866, 267, 27330, 267, 31847, 543, 21061, 563, 4517, 4966, 689, 519, 2475, 15544, 585, 8376, 6513, 543, 10644, 2015, 602, 519, 1292, 7154, 540, 6771, 3788, 1975, 2001, 12772, 28614, 8778, 540, 1585, 7306, 602, 519, 7783, 1268, 1085, 520, 1562, 950, 32125, 267, 23472, 267, 13465, 267, 6340, 543, 7244, 563, 3719, 519, 9337, 602, 2501, 4557, 3275, 1310, 519, 1376, 540, 519, 6855, 25495 ]

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

[ 7040, 4469, 4711, 267, 12791, 540, 570, 878, 565, 528, 25035, 267, 23193, 267, 6129, 543, 4210, 867, 634, 9206, 729, 21243, 609, 900, 21793, 267, 799, 941, 2901, 2706, 574, 12723, 936, 621, 610, 729, 5116, 1657, 519, 9206, 269, 634, 10513, 9605, 568, 519, 3090, 540, 1072, 267, 3002, 267, 1769, 543, 6457, 269, 5900, 3737, 547, 519, 2539, 6316, 941, 512, 553, 17632, 540, 5835, 267, 4012, 31980, 267, 543, 25243, 267, 609, 1804, 20805, 656, 9925, 1564, 269, 634, 23193, 543, 6129, 2506, 12378, 3254, 1934, 538, 713, 6073, 281, 634, 11660, 3778, 568, 519, 1152, 1259, 547, 1382, 543, 1353, 1686, 538, 519, 476, 2641, 560, 11416, 269, 594, 2328, 519, 968, 26199, 3778, 892, 1141, 594, 1382, 543, 946, 519, 3621, 5013, 543, 2963, 607, 1250, 6054, 543, 5748, 269, 11153, 824, 7306, 540, 2694, 540, 519, 17514, 616, 4330, 538, 519, 2241, 4070, 6656, 267, 855, 891, 2418, 616, 711, 782, 5812, 609, 519, 5730, 2418, 5833, 952, 1739, 519, 8106, 4070, 269, 589, 15939, 18779, 573, 19092, 281, 476, 4649, 280, 7460, 1107, 476, 20065, 7460, 23193, 543, 6129, 2506, 12378, 476, 4375, 269, 4438, 922, 6228, 267, 621, 12199, 936, 5527, 267, 519, 2274, 2779, 267, 519, 5664, 5101, 267, 3690, 2135, 16492, 267, 543, 2694, 540, 634, 26811, 753, 267, 519, 24272, 30510, 267, 543, 12907, 269, 589, 15939, 18779, 1014, 14655, 13642, 26267, 9208, 540, 7261, 6350, 519, 4279, 476, 277, 7460, 9459, 25035, 681, 739, 600, 10787, 758, 327, 345, 611, 543, 1010, 2367, 10692, 2394, 519, 3803, 6749, 540, 741, 1973, 21108, 9459, 267, 1247, 10599, 1194, 519, 14205, 720, 19966, 2692, 5336, 639, 3916, 12833, 19470, 269, 1744, 2313, 514, 752, 3710, 1082, 17633, 543, 5206, 1082, 1202, 18587, 269, 2073, 7261, 6350, 519, 4279, 267, 513, 14655, 267, 17204, 1010, 22516, 8330, 344, 1137, 267, 519, 4400, 25960, 630, 21914, 264, 540, 519, 2405, 525, 267, 543, 8547, 9459, 676, 796, 1746, 519, 6431, 2103, 543, 519, 2405, 525, 269, 7216, 17286, 9857, 802, 941, 1210, 741, 2757, 900, 21793, 267, 855, 789, 7930, 7550, 2199, 7332, 900, 21793, 543, 536, 22395, 269, 2506, 30752, 971, 607, 1744, 777, 712, 634, 4279, 267, 1323, 2313, 597, 7079, 267, 543, 10609, 657, 992, 3474, 341, 714, 530, 8491, 713, 7333, 1676, 543, 4279, 13639, 24285, 971, 607, 29233, 540, 9459, 267, 4937, 3203, 21983, 321, 617, 834, 305, 739, 600, 3887, 10787, 758, 327, 345, 611, 257, 634, 4279, 14655, 15552, 1185, 10692, 543, 5747, 896, 713, 7333, 1676, 269, 476, 275, 269, 1280, 811, 1344, 827, 519, 824, 2776, 589, 32569, 22504, 9147, 6406, 3074, 1224, 281, 14655, 30733, 539, 18409, 568, 835, 540, 519, 968, 25324, 1014, 30733, 539, 15050, 2103, 6100, 769, 11685, 547, 519, 1699, 12512, 538, 9459, 267, 513, 1297, 540, 22504, 608, 3796, 630, 31860, 538, 11968, 13353, 264, 3136, 547, 946, 519, 22504, 28886, 565, 528, 609, 519, 23193, 543, 6129, 693, 519, 4099, 907, 4653, 519, 7108, 543, 31947, 616, 14655, 9576, 27413, 543, 14655, 29062, 269, 898, 4553, 519, 2405, 1014, 7276, 607, 519, 2034, 1390, 10504, 540, 519, 22504, 9082, 269, 729, 4362, 693, 3131, 572, 335, 12994, 538, 476, 3707, 279, 269, 2353, 3425, 543, 2609, 540, 519, 7122, 723, 1312, 1434, 543, 9409, 538, 873, 543, 789, 1590, 2226, 513, 3666, 1063, 519, 1079, 610, 3116, 519, 1062, 540, 519, 7122, 2458, 22663, 269, 634, 23193, 543, 6129, 30118, 568, 519, 9510, 6348, 589, 32569, 9459, 545, 8298, 334, 2469, 1394, 476, 8517, 271, 1296, 269, 901, 568, 519, 2034, 7160, 540, 1250, 1433, 609, 8242, 1344, 543, 1082, 1007, 17514, 269, 30111, 568, 513, 1106, 762, 4182, 538, 519, 5664, 5101, 267, 8204, 513, 11808, 540, 519, 14655, 7276, 607, 621, 11478, 896, 519, 589, 15939, 18779, 573, 15913, 2394, 519, 9518, 3949, 540, 12138, 519, 4279, 543, 1131, 13840, 581, 4553, 909, 676, 519, 3474, 628, 2103, 543, 2523, 519, 590, 28045, 1749, 269, 23817, 3036, 294, 8656, 2433, 840, 476, 5611, 273, 17514, 30111, 269, 634, 589, 15939, 18779, 573, 7276, 267, 524, 269, 476, 20862, 268, 20065, 14514, 267, 610, 3689, 14655, 7276, 267, 729, 8547, 538, 519, 476, 277, 628, 2540, 14514, 676, 7261, 6350, 519, 4279, 267, 538, 5375, 543, 6239, 5607, 269, 901, 1603, 14906, 619, 519, 9206, 1875, 3146, 23983, 269, 634, 9206, 729, 21243, 609, 900, 21793, 267, 799, 941, 2901, 2706, 574, 12723, 936, 621, 610, 729, 5116, 1657, 519, 9206, 269, 589, 15939, 18779, 573, 10504, 642, 10382, 393, 377, 333, 10382, 3852, 501, 16708, 10382, 395, 501, 4244, 535, 24655, 1086, 1014, 3540, 2112, 9456, 8915, 22038, 4244, 9206, 540, 3352, 534, 1086, 1014, 10504, 18376, 1098, 11985, 15242, 9206, 30118, 533, 978, 476, 16328, 279, 476, 15686, 279, 1098, 11985, 3352, 534, 269, 6129, 4564, 281, 1769, 267, 14246, 543, 7326, 267, 799, 31438, 2390, 519, 589, 787, 753, 269, 634, 4013, 589, 15939, 18779, 573, 779, 15875, 3938, 628, 1787, 14465, 1676, 267, 589, 15939, 18779, 1014, 13642, 26267, 3557, 9208, 2296, 281, 9208, 540, 7261, 6350, 519, 4279, 267, 13653, 540, 519, 14655, 589, 15939, 18779, 573, 7276, 5861, 6817, 519, 281, 14216, 2378, 3333, 3887, 20961, 321, 1794, 3887, 6874, 531, 599, 328, 610, 519, 13642, 24415, 935, 630, 25324, 1014, 281, 12168, 363, 14507, 28519, 404, 368, 12168, 368, 8294, 20901, 24220, 8294, 404, 366, 12168, 371, 12022, 8294, 17262, 17262, 1040, 3848, 476, 1691, 281, 9459, 15348, 11833, 630, 7709, 290, 264, 4469, 4711, 267, 10390, 267, 17796, 269, 901, 568, 513, 667, 23581, 13910, 23193, 799, 1185, 7902, 538, 519, 14655, 15339, 543, 6149, 26002, 4358, 689, 519, 942, 540, 667, 23581, 519, 4279, 630, 276, 2420, 7460, 910, 476, 4366, 277, 7460, 1040, 4107, 1271, 267, 568, 519, 1249, 602, 594, 1413, 693, 519, 1686, 607, 513, 3621, 2361, 267, 799, 2115, 547, 581, 18175, 24612, 676, 942, 269, 590, 8491, 676, 589, 686, 3570, 269, 11908, 2433, 476, 5611, 273, 910, 476, 13923, 275, 30111, 269, 634, 589, 15939, 18779, 1014, 14655, 7276, 3557, 14465, 1676, 269, 898, 16768, 689, 476, 20862, 7460, 268, 20065, 7460, 269, 1306, 634, 14655, 8003, 630, 8469, 1014, 8003, 264, 2968, 634, 14655, 7276, 630, 288, 15939, 18779, 573, 781, 7276, 1070, 713, 7333, 1676, 2968, 519, 4013, 7333, 1676, 540, 634, 14655, 7276, 269, 901, 4528, 540, 10897, 327, 573, 1695, 752, 630, 291, 16400, 264, 1185, 513, 18057, 269, 2073, 4438, 519, 12081, 540, 15011, 13758, 20961, 267, 519, 1079, 1114, 17794, 900, 21793, 941, 5916, 883, 513, 2582, 9206, 799, 12286, 513, 17794, 1780, 656, 8066, 513, 18156, 538, 4395, 540, 513, 3141, 269, 634, 14618, 540, 9459, 267, 829, 519, 476, 2735, 271, 11156, 267, 4957, 519, 9206, 543, 13021, 540, 1533, 538, 810, 30138, 607, 519, 23193, 543, 6129, 941, 8719, 676, 519, 2699, 30118, 538, 519, 8998, 540, 519, 9206, 269, 901, 30118, 568, 10169, 2147, 547, 519, 10609, 7701, 855, 814, 1100, 6935, 547, 31881, 11297, 543, 922, 2495, 547, 602, 3909, 2146, 269, 476, 1703, 729, 849, 513, 17189, 1671, 793, 799, 1185, 513, 2699, 543, 3039, 8473, 543, 513, 3540, 1671, 793, 799, 6743, 519, 1482, 607, 519, 17189, 1671, 793, 855, 1510, 519, 17794, 543, 3141, 538, 519, 1647, 269, 898, 849, 814, 606, 4277, 2680, 602, 2636, 596, 547, 1689, 707, 3854, 547, 4277, 4025, 267, 1498, 711, 2560, 634, 4013, 9206, 540, 519, 10504, 729, 1034, 4440, 513, 3109, 9206, 267, 2147, 547, 519, 9206, 540, 519, 2806, 21353, 573, 2836, 13023, 622, 269, 590, 28045, 1014, 11135, 9208, 7982, 547, 3778, 12039, 7982, 547, 31538, 338, 12039, 1411, 616, 827, 547, 7747, 519, 5767, 543, 519, 1034, 4977, 3140, 1382, 540, 519, 476, 2641, 560, 327, 11416, 827, 519, 1686, 540, 519, 22504, 9206, 269, 589, 32142, 15011, 13758, 16679, 729, 519, 7831, 14655, 14890, 269, 2473, 523, 2684, 517, 538, 7261, 1886, 320, 4215, 630, 278, 269, 272, 269, 275, 264, 6257, 519, 3044, 540, 3203, 1314, 518, 343, 525, 4083, 693, 595, 684, 1314, 320, 607, 834, 320, 11344, 23914, 267, 609, 856, 4944, 1348, 12209, 267, 28703, 620, 21510, 593, 513, 1279, 27490, 1606, 3873, 1111, 2580, 519, 1482, 7333, 1676, 6592, 547, 581, 1031, 676, 7261, 6350, 519, 4279, 269, 0, 20663, 21091, 13583, 675, 1607, 568, 519, 2347, 12957, 540, 513, 5663, 9744, 971, 607, 513, 12051, 269, 2353, 3252, 616, 896, 2780, 1852, 269, 901, 6238, 609, 2780, 29211, 1374, 267, 4553, 676, 2780, 29211, 5478, 267, 4553, 676, 12747, 4859, 543, 3892, 269, 2290, 7471, 2780, 1062, 8060, 782, 602, 4523, 269, 8609, 2290, 910, 8950, 589, 3660, 5071, 269, 8609, 5565, 910, 5019, 9189, 13583, 675, 269, 8609, 8422, 910, 634, 2780, 1062, 9013, 519, 2030, 1568, 856, 519, 1034, 3608, 1505, 540, 5478, 269, 8609, 9050, 910, 634, 2780, 1062, 9753, 519, 2556, 2326, 547, 5478, 519, 1587, 269, 8609, 12866, 910, 19007, 5956, 609, 519, 1587, 1373, 1500, 1210, 595, 4456, 630, 20663, 589, 3660, 13583, 675, 1040, 8609, 14520, 910, 10866, 1852, 568, 4294, 693, 1169, 3942, 269, 8609, 18599, 910, 634, 1587, 568, 19632, 676, 11608, 269, 8609, 20640, 269, 8609, 27607, 910, 634, 1587, 568, 8850, 6410, 689, 4558, 547, 32261, 561, 528, 1845, 1315, 18114, 585, 3892, 547, 519, 6075, 563, 20663, 21091, 19007, 2421, 6276, 700, 269, 31513, 1496, 9616, 281, 901, 568, 513, 556, 268, 8971, 1540, 12377, 602, 729, 8385, 3370, 538, 2201, 519, 21222, 517, 2073, 476, 1960, 273, 267, 476, 272, 630, 273, 1070, 476, 276, 269, 19402, 519, 17562, 2872, 25457, 1713, 6639, 4434, 267, 2872, 1590, 1413, 11992, 267, 547, 2847, 633, 29345, 3101, 7607, 269, 901, 693, 2547, 267, 568, 875, 930, 3549, 616, 6908, 23164, 741, 1870, 3157, 865, 607, 547, 6175, 519, 942, 2838, 689, 519, 2504, 547, 519, 6765, 540, 2472, 269, 595, 8379, 26779, 3252, 602, 12926, 723, 1044, 5094, 267, 5275, 834, 1729, 6908, 1899, 609, 2298, 1852, 543, 1175, 538, 6066, 5663, 267, 543, 547, 2285, 1169, 3684, 543, 9441, 519, 2702, 547, 2911, 609, 1142, 824, 543, 1412, 31296, 262, 513, 1587, 607, 621, 7575, 998, 519, 3003, 9746, 18180, 1701, 20480, 634, 3498, 540, 595, 8379, 543, 834, 3286, 2987, 6066, 257, 2359, 538, 2872, 814, 6286, 585, 6437, 1646, 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 ]

[ 294, 4637, 543, 13259, 1682, 1107, 3778, 267, 5381, 885, 543, 20212, 454, 763, 717, 4637, 543, 519, 13259, 1682, 941, 1079, 7986, 11031, 15025, 609, 824, 11031, 543, 9782, 547, 17282, 2429, 519, 966, 14037, 1974, 269, 634, 717, 4637, 941, 513, 5318, 14316, 602, 5030, 538, 3574, 539, 4525, 1634, 607, 717, 1180, 32272, 267, 610, 968, 294, 1180, 32272, 13474, 1848, 9540, 518, 804, 753, 3893, 6417, 676, 1367, 986, 329, 553, 610, 986, 529, 267, 543, 13346, 8105, 729, 11342, 563, 7628, 519, 521, 23546, 622, 540, 16156, 779, 2887, 267, 519, 3401, 540, 2462, 717, 1180, 804, 753, 3459, 547, 20441, 519, 14758, 804, 753, 267, 4611, 538, 3844, 1944, 741, 11889, 2497, 269, 5272, 10806, 729, 8237, 883, 12275, 26387, 267, 1016, 323, 22866, 2417, 883, 932, 4768, 12118, 610, 8498, 4559, 269, 589, 932, 4768, 14515, 729, 8237, 2417, 883, 4446, 32718, 563, 5194, 7986, 28334, 602, 12199, 966, 14037, 3127, 729, 519, 13259, 1682, 269, 769, 519, 2038, 476, 1724, 628, 2540, 267, 789, 14612, 689, 27060, 547, 519, 23347, 14090, 583, 571, 9503, 269, 634, 13259, 1682, 1705, 711, 723, 741, 25267, 282, 3079, 267, 789, 3710, 741, 10504, 676, 24057, 8089, 519, 2025, 13225, 340, 12011, 534, 22257, 5943, 563, 763, 4346, 540, 519, 1007, 10806, 3893, 1759, 593, 623, 2967, 802, 610, 7142, 4074, 269, 4256, 10806, 3893, 8237, 883, 918, 515, 3149, 610, 804, 753, 269, 634, 13259, 1682, 2367, 2813, 21394, 267, 12555, 1949, 267, 543, 1857, 1568, 3785, 543, 9415, 1148, 543, 3332, 269, 1358, 849, 12261, 16130, 12591, 883, 13259, 558, 543, 5555, 2667, 1868, 324, 543, 5206, 3140, 6054, 1634, 607, 8738, 534, 329, 529, 563, 17843, 5573, 1063, 575, 4637, 543, 513, 327, 1682, 454, 25105, 1682, 543, 717, 4637, 20212, 24121, 763, 3604, 1063, 13259, 1682, 543, 717, 4637, 616, 607, 5205, 912, 25105, 1682, 941, 23347, 14090, 583, 571, 9503, 20404, 689, 27060, 543, 962, 18365, 534, 19435, 538, 3624, 269, 1358, 26731, 689, 519, 12872, 5336, 784, 565, 1355, 5198, 269, 634, 717, 4637, 267, 593, 519, 824, 1688, 267, 941, 711, 30226, 619, 547, 519, 1858, 269, 1358, 5030, 538, 717, 1180, 32272, 267, 513, 5318, 4104, 2275, 2642, 11782, 563, 763, 13259, 1682, 3964, 741, 6392, 676, 8165, 1996, 519, 25267, 540, 1082, 11031, 269, 634, 14076, 1584, 338, 4299, 519, 717, 4637, 267, 543, 519, 717, 4637, 12936, 519, 14076, 1584, 338, 269, 769, 1931, 547, 2744, 6392, 543, 6284, 267, 789, 585, 3022, 7365, 24816, 609, 14076, 1584, 338, 269, 634, 13259, 1682, 12038, 513, 13172, 540, 2667, 1868, 324, 563, 763, 717, 4637, 267, 593, 519, 824, 1688, 267, 12038, 717, 1180, 328, 267, 513, 1893, 602, 568, 3833, 2147, 547, 20052, 30253, 269, 1358, 849, 14437, 538, 513, 667, 9545, 22941, 13172, 563, 5475, 12561, 18420, 267, 519, 13259, 1682, 3459, 547, 10847, 9699, 10971, 3079, 540, 741, 17174, 10971, 269, 634, 717, 4637, 267, 593, 519, 824, 1688, 267, 13736, 1312, 28334, 10847, 543, 20174, 547, 7083, 32251, 563, 763, 13259, 1682, 3964, 741, 10504, 538, 2667, 600, 269, 634, 717, 4637, 3893, 1336, 538, 1459, 6377, 20052, 836, 3570, 267, 31579, 541, 21423, 267, 1656, 31137, 21423, 267, 8496, 27256, 21423, 267, 8109, 26527, 30773, 630, 309, 573, 16808, 3873, 1070, 932, 1002, 26385, 3258, 327, 267, 543, 5375, 13095, 22781, 563, 13436, 885, 1063, 717, 4637, 543, 13259, 1682, 454, 25105, 1682, 543, 717, 4637, 5381, 885, 454, 19350, 616, 519, 10486, 1063, 13259, 1682, 543, 717, 4637, 912, 763, 7245, 729, 21438, 538, 1312, 2665, 563, 13828, 941, 5634, 11031, 602, 2919, 538, 4222, 676, 24509, 532, 7404, 14758, 2950, 563, 13828, 7239, 1185, 1362, 15523, 610, 795, 15384, 563, 11902, 17988, 630, 21761, 18542, 5999, 994, 1432, 1826, 540, 4205, 1705, 9930, 19631, 29009, 1235, 723, 609, 25161, 4237, 584, 1235, 888, 301, 558, 19631, 29009, 1235, 24603, 15144, 267, 575, 31649, 267, 543, 824, 3688, 269, 32633, 19631, 29009, 1235, 267, 593, 519, 824, 1688, 267, 941, 2016, 10568, 267, 20955, 267, 27022, 267, 543, 824, 5370, 676, 25161, 6694, 1235, 563, 1432, 729, 519, 2497, 540, 519, 13259, 558, 1533, 779, 7245, 888, 288, 2551, 14829, 729, 5342, 563, 10376, 18296, 729, 2838, 547, 6494, 513, 1978, 7274, 540, 623, 2967, 802, 593, 513, 2834, 4493, 563, 10144, 941, 882, 11343, 689, 29822, 20948, 4525, 547, 1447, 29822, 20651, 2127, 563, 763, 2229, 1185, 1831, 9425, 21438, 676, 519, 2038, 851, 540, 519, 27867, 2540, 563, 763, 13259, 558, 1135, 640, 729, 882, 5050, 593, 7142, 4074, 267, 799, 729, 5219, 547, 607, 623, 2967, 802, 563, 2691, 17174, 7239, 941, 6896, 883, 2829, 267, 1018, 5949, 547, 873, 286, 15448, 538, 519, 5980, 912, 763, 4473, 540, 2101, 2829, 4957, 17174, 2486, 779, 1915, 563, 22949, 2486, 7930, 10943, 842, 1229, 883, 21376, 1514, 5049, 267, 1142, 540, 799, 8057, 538, 1379, 563, 763, 717, 1180, 986, 329, 553, 3177, 2244, 13344, 547, 519, 23347, 2006, 553, 563, 763, 717, 1180, 17710, 1631, 24714, 547, 581, 5219, 547, 581, 14076, 1584, 338, 563, 306, 836, 1090, 20961, 729, 19942, 27492, 547, 589, 2006, 30605, 267, 519, 717, 1180, 14610, 540, 12275, 3873, 15576, 18553, 563, 291, 531, 6312, 267, 1010, 5067, 267, 9310, 6428, 321, 25301, 779, 8250, 267, 3957, 667, 4026, 1177, 10620, 269, 6428, 321, 25301, 729, 10067, 20899, 779, 25941, 601, 14076, 1584, 14610, 563, 310, 699, 519, 14465, 21186, 553, 1271, 585, 519, 4346, 888, 763, 14465, 21186, 553, 941, 5393, 1271, 547, 519, 4346, 269, 1358, 941, 911, 1457, 5991, 558, 6758, 945, 12199, 936, 1870, 543, 4123, 269, 1358, 5340, 513, 2629, 1909, 538, 3478, 10286, 547, 519, 2749, 2344, 17541, 269, 1358, 7363, 11751, 10286, 1141, 621, 729, 10464, 543, 4547, 621, 547, 1141, 621, 729, 811, 7199, 269, 1358, 1287, 882, 1933, 539, 741, 3404, 523, 609, 4376, 3116, 602, 1522, 581, 4421, 17215, 11992, 563, 1432, 941, 519, 3604, 1063, 519, 717, 4637, 543, 519, 13259, 1682, 685, 12583, 286, 9894, 596, 5469, 1022, 10486, 888, 1103, 519, 1739, 24947, 267, 519, 717, 4637, 685, 1686, 28209, 689, 602, 540, 519, 13259, 1682, 912, 763, 717, 1180, 10806, 729, 5318, 267, 855, 519, 13259, 1682, 10806, 729, 2370, 563, 25105, 1682, 4646, 513, 1390, 1135, 640, 950, 519, 717, 1180, 25267, 941, 15652, 539, 883, 12275, 26387, 563, 27852, 15767, 941, 711, 1031, 676, 519, 717, 4637, 269, 1280, 519, 1101, 942, 538, 519, 1016, 29657, 779, 1686, 267, 13259, 1682, 8246, 32205, 563, 25105, 1682, 546, 342, 3881, 538, 519, 23347, 14090, 583, 571, 14860, 267, 6466, 717, 4637, 5030, 538, 717, 1180, 32272, 563, 4537, 14823, 6683, 729, 13736, 676, 519, 717, 4637, 267, 4352, 519, 13259, 1682, 1705, 711, 563, 763, 16726, 568, 602, 1312, 941, 11031, 912, 4263, 1585, 2053, 267, 519, 28753, 1023, 13986, 547, 20630, 519, 4525, 540, 1312, 563, 18814, 547, 519, 3099, 540, 6009, 267, 972, 941, 2242, 538, 1312, 7239, 563, 300, 1549, 930, 2027, 2934, 540, 17174, 7239, 563, 5278, 2027, 2934, 540, 17174, 7239, 616, 912, 5445, 1705, 711, 7747, 519, 23347, 2006, 553, 685, 3964, 1514, 3652, 543, 9821, 563, 5445, 14201, 1406, 8237, 909, 883, 513, 2603, 540, 21376, 5049, 563, 298, 29023, 13218, 3808, 519, 2486, 779, 2818, 1927, 563, 1692, 1705, 519, 17174, 1004, 7118, 741, 17612, 888, 13070, 3472, 675, 729, 519, 6805, 1004, 779, 3119, 13567, 269, 1703, 941, 849, 1352, 17731, 1091, 543, 25433, 3766, 520, 1877, 3464, 269, 1358, 4749, 6404, 891, 4247, 538, 1931, 547, 1118, 519, 1034, 540, 519, 2067, 2200, 2139, 538, 519, 3148, 1141, 789, 759, 3660, 269, 2368, 11031, 941, 9930, 19631, 267, 799, 5921, 789, 14612, 689, 835, 4087, 547, 1776, 563, 288, 17174, 2146, 8843, 2359, 540, 2244, 543, 2250, 999, 267, 799, 568, 7856, 1851, 10820, 2687, 547, 922, 1378, 8155, 563, 2080, 693, 570, 27232, 10042, 4804, 2228, 2661, 1362, 3760, 267, 649, 1683, 6732, 26643, 585, 3427, 689, 18014, 547, 4147, 476, 1321, 585, 782, 5396, 269, 1284, 1683, 519, 1655, 2228, 24875, 5049, 585, 4147, 476, 278, 543, 824, 5049, 602, 17663, 11473, 15872, 543, 6732, 14970, 26643, 602, 786, 948, 1053, 547, 9787, 2035, 3362, 269, 1284, 849, 1683, 6096, 1299, 25849, 906, 267, 8935, 23336, 7886, 543, 19436, 10298, 585, 4147, 476, 277, 547, 476, 1321, 269, 1924, 1631, 17949, 661, 6441, 792, 940, 609, 570, 27232, 10042, 4804, 563, 13981, 568, 1187, 1631, 2336, 29771, 547, 938, 1514, 8756, 563, 5319, 2651, 2221, 1299, 5192, 5131, 5915, 334, 4147, 2336, 24445, 693, 476, 279, 3199, 271, 4200, 280, 2764, 275, 6445, 519, 1106, 585, 1022, 824, 3877, 281, 0, 1877, 568, 513, 2780, 1686, 7084, 269, 594, 786, 1683, 596, 609, 519, 1433, 547, 946, 269, 8923, 1810, 1406, 946, 1022, 824, 2200, 1175, 519, 1433, 602, 594, 6557, 3246, 269, 24987, 1142, 2243, 609, 835, 5037, 11053, 4047, 21398, 10498, 4959, 11083, 307, 21815, 3633, 272, 6185, 4593, 1380, 875, 2229, 543, 4108, 2115, 2429, 519, 2250, 2540, 543, 1256, 1354, 602, 942, 723, 5129, 513, 2101, 1909, 519, 1646, 540, 7384, 269, 14674, 693, 2547, 476, 276, 1806, 269, 273, 6185, 4593, 1380, 519, 4720, 540, 2780, 3301, 543, 922, 1198, 593, 519, 4473, 540, 519, 2123, 2780, 269, 274, 16638, 920, 2084, 7384, 3432, 543, 13302, 2780, 2450, 616, 1079, 4909, 2127, 540, 2780, 1382, 269, 5903, 543, 1865, 693, 2547, 2185, 2101, 6639, 7835, 602, 723, 13087, 606, 2333, 538, 7384, 3432, 543, 513, 6175, 538, 519, 2450, 540, 5904, 269, 275, 6185, 4593, 1380, 519, 1198, 540, 2029, 593, 519, 12948, 2872, 269, 3629, 1896, 1806, 540, 1808, 4066, 267, 1519, 10721, 4066, 269, 9181, 875, 891, 4066, 6766, 519, 6073, 538, 799, 12948, 8852, 543, 824, 12948, 4238, 616, 17411, 2221, 269, 276, 6185, 4593, 1380, 519, 4128, 1946, 519, 2136, 2276, 729, 811, 8348, 547, 9784, 1007, 6639, 8441, 982, 922, 3864, 9164, 269, 901, 7613, 7018, 2789, 2053, 2429, 519, 1646, 540, 519, 2780, 2872, 269, 277, 16638, 920, 2084, 7384, 3432, 543, 13302, 2780, 2450, 616, 1079, 4909, 2127, 540, 2780, 1382, 269, 5903, 543, 1865, 693, 2547, 2185, 2101, 6639, 7835, 602, 723, 13087, 606, 2333, 538, 7384, 3432, 543, 513, 6175, 538, 519, 2450, 540, 5904, 563, 10907, 611, 12515, 21331, 2593, 268, 2688, 1603, 3028, 602, 2488, 2228, 2688, 27787, 4574, 267, 971, 607, 2165, 4574, 267, 1382, 4574, 267, 5098, 4574, 267, 3594, 267, 4744, 31277, 269, 1452, 2688, 4574, 1058, 581, 1031, 609, 1697, 4704, 563, 23444, 272, 264, 476, 275, 2190, 476, 274, 4281, 476, 31620, 279, 0, 21122, 531, 32238, 568, 519, 2165, 1031, 547, 4766, 950, 835, 2385, 22393, 14796, 519, 2078, 1063, 519, 824, 2385, 543, 741, 1126, 610, 1453, 563, 11947, 18101, 12787, 3871, 666, 581, 2182, 593, 519, 1126, 610, 1453, 3238, 267, 543, 4352, 930, 1453, 2226, 513, 2178, 4276, 609, 1312, 540, 741, 3237, 267, 538, 824, 2665, 513, 1126, 610, 1453, 949, 4782, 7836, 942, 609, 835, 2385, 936, 519, 824, 610, 1256, 20549, 547, 6108, 1022, 942, 609, 519, 824, 2385, 563, 1607, 949, 581, 1813, 547, 16048, 6381, 540, 513, 2352, 2385, 30512, 2078, 267, 610, 621, 1223, 581, 607, 513, 1267, 540, 835, 2385, 18801, 908, 9813, 908, 741, 1126, 689, 519, 824, 2385, 563, 763, 16338, 9737, 9977, 531, 1325, 1329, 566, 543, 661, 1598, 1052, 618, 454, 292, 1598, 1052, 618, 4016, 547, 519, 15059, 540, 513, 2078, 1063, 1079, 610, 811, 1920, 2818, 269, 9977, 531, 32238, 267, 593, 519, 824, 1688, 267, 1419, 3762, 519, 1126, 4743, 1360, 11874, 2509, 519, 9813, 730, 2385, 585, 24407, 1881, 610, 7301, 4128, 1317, 540, 519, 12879, 689, 741, 824, 2385, 563, 2467, 616, 1114, 4128, 1946, 1920, 2818, 949, 1831, 1609, 337, 6548, 689, 835, 1776, 267, 585, 1383, 1920, 5208, 267, 4057, 15970, 267, 1164, 4655, 267, 7411, 538, 14379, 610, 2101, 1272, 2242, 563, 1103, 606, 1609, 337, 6548, 2385, 30512, 2078, 267, 519, 1126, 949, 2769, 967, 1815, 1707, 2509, 519, 2385, 543, 581, 2111, 547, 1459, 1175, 16666, 4128, 585, 519, 1259, 602, 789, 1745, 563, 1103, 519, 2013, 540, 15366, 32238, 267, 835, 2385, 17543, 28746, 519, 824, 2385, 30512, 2078, 563, 15650, 540, 1325, 1329, 908, 20409, 328 ]

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

[ 21014, 263, 271, 994, 2018, 1592, 290, 6910, 263, 10113, 2005, 655, 2020, 1038, 2132, 1592, 290, 7531, 2745, 19467, 31374, 8443, 1220, 267, 476, 275, 267, 476, 272, 267, 476, 276, 267, 476, 277, 267, 476, 20065, 876, 267, 476, 1015, 267, 476, 275, 267, 476, 274, 267, 476, 278, 267, 476, 279, 20285, 0, 12163, 29020, 281, 10089, 330, 4464, 22665, 18011, 288, 262, 16680, 264, 1413, 1575, 8528, 5825, 720, 281, 3097, 453, 453, 272, 269, 8073, 513, 3758, 267, 2999, 6358, 17902, 285, 543, 1747, 782, 519, 3984, 4408, 538, 621, 269, 7490, 1118, 2386, 1142, 3984, 2012, 4422, 538, 513, 1007, 1899, 563, 453, 453, 273, 269, 9226, 13557, 318, 985, 19972, 1575, 18258, 454, 453, 453, 274, 269, 19243, 29084, 538, 2999, 16059, 27406, 285, 692, 9616, 281, 18838, 538, 5124, 642, 273, 269, 278, 454, 29185, 26611, 23591, 24800, 270, 7090, 454, 5814, 12981, 454, 5814, 26417, 454, 5814, 556, 692, 258, 25159, 454, 30236, 318, 10676, 12849, 815, 11713, 985, 19972, 1575, 318, 14310, 815, 11713, 258, 7736, 540, 25159, 692, 5976, 1930, 3488, 6358, 17902, 12887, 337, 10807, 607, 3984, 4067, 912, 825, 3984, 5332, 1868, 815, 3984, 4067, 18667, 6050, 10797, 1721, 3984, 538, 3984, 5332, 1868, 912, 453, 30236, 318, 10676, 815, 3984, 18622, 2897, 3488, 22207, 15234, 1040, 516, 2897, 28361, 333, 3299, 1412, 5073, 453, 30236, 318, 10676, 12849, 6910, 263, 30236, 318, 10676, 2020, 692, 5976, 1930, 3488, 7709, 318, 19547, 5661, 28802, 3299, 1412, 342, 266, 10807, 607, 3758, 912, 22610, 3984, 538, 2973, 318, 10676, 12849, 912, 453, 13537, 630, 10676, 994, 453, 453, 8421, 6831, 30113, 284, 834, 985, 19972, 1575, 4939, 338, 476, 273, 285, 261, 272, 257, 4939, 10676, 454, 453, 453, 16059, 815, 12981, 10947, 16059, 263, 8421, 6831, 30113, 994, 4848, 454, 453, 453, 12803, 22182, 2891, 20594, 20594, 20594, 11960, 1262, 315, 333, 5602, 453, 453, 12803, 22182, 2891, 260, 338, 14826, 257, 4939, 10676, 994, 453, 453, 12803, 22182, 2891, 260, 338, 14826, 257, 4939, 16059, 994, 453, 453, 339, 787, 912, 4848, 453, 258, 516, 613, 343, 815, 556, 269, 14142, 2891, 11243, 15545, 265, 11754, 816, 281, 24560, 338, 27994, 8443, 315, 323, 315, 20426, 266, 1040, 265, 2580, 3977, 994, 4848, 453, 516, 613, 343, 815, 556, 269, 14142, 2891, 11243, 281, 24560, 338, 11138, 339, 27994, 24560, 342, 315, 268, 20426, 10954, 315, 333, 11754, 816, 24097, 338, 266, 8443, 315, 323, 315, 20426, 266, 264, 2580, 3977, 994, 4848, 453, 760, 318, 5417, 816, 815, 556, 613, 343, 3052, 12952, 3890, 314, 271, 2639, 4848, 453, 985, 19972, 1575, 318, 14310, 6910, 8443, 10676, 267, 28258, 318, 5417, 816, 7481, 453, 453, 21955, 1401, 4003, 607, 552, 912, 4848, 13537, 630, 324, 994, 4848, 453, 11666, 826, 7531, 258, 5675, 3977, 547, 11483, 309, 3758, 454, 5976, 1930, 3488, 16059, 27406, 3299, 1412, 342, 266, 10807, 607, 26417, 12803, 912, 825, 26417, 23116, 815, 26417, 9884, 31581, 6262, 12364, 12803, 267, 1642, 574, 3438, 284, 3299, 3299, 10839, 10420, 8782, 257, 3299, 844, 7627, 284, 322, 12364, 269, 12702, 5588, 292, 318, 17920, 994, 825, 20927, 8217, 815, 18358, 11243, 3299, 1412, 11754, 816, 23300, 825, 26417, 23116, 9884, 31581, 578, 263, 3650, 518, 8217, 994, 825, 585, 1267, 538, 562, 16435, 809, 1575, 318, 14310, 912, 672, 453, 322, 12364, 23116, 9884, 31581, 578, 31114, 2020, 0, 26611, 23591, 24800, 19841, 341, 9226, 1477, 18851, 1477, 288, 7097, 602, 2982, 1055, 27992, 3842, 1592, 21767, 14565, 1477, 18851, 5897, 5228, 4351, 1104, 4351, 24653, 3698, 6422, 24512, 4433, 1125, 284, 1911, 1822, 271, 8029, 825, 5727, 293, 1571, 606, 5044, 602, 568, 21092, 29858, 27969, 1477, 825, 6422, 815, 1496, 15947, 825, 585, 1775, 538, 2039, 4433, 1125, 8029, 1038, 6422, 6910, 263, 12690, 3890, 2608, 1775, 3418, 825, 2132, 6422, 24653, 3698, 11979, 24512, 4433, 1125, 284, 1911, 1822, 271, 8029, 825, 5727, 293, 1571, 606, 5044, 602, 568, 840, 22433, 11343, 27969, 1477, 825, 11979, 815, 1496, 14085, 316, 2608, 2450, 1477, 825, 585, 1775, 538, 2039, 4433, 1125, 8029, 1038, 11979, 5157, 316, 815, 4351, 3890, 2608, 1775, 1477, 825, 2132, 11979, 24653, 3698, 8223, 24512, 4433, 1125, 284, 1911, 1822, 271, 8029, 825, 5727, 293, 1571, 606, 5044, 602, 568, 17411, 676, 5124, 3842, 1592, 8223, 27969, 1477, 825, 2132, 1496, 12690, 3890, 2608, 1775, 585, 1775, 538, 2039, 4433, 1125, 13580, 5897, 604, 6449, 4067, 1029, 2652, 26242, 10852, 1029, 257, 6769, 825, 1104, 19523, 5897, 825, 1948, 14190, 519, 3593, 547, 3403, 4904, 5044, 7306, 1477, 825, 2450, 815, 476, 1911, 1822, 271, 1477, 825, 585, 1775, 267, 1130, 538, 26246, 4433, 903, 27769, 341, 8029, 1038, 952, 1130, 2652, 834, 734, 21653, 257, 6769, 2018, 2450, 815, 703, 4433, 903, 27769, 341, 5157, 1341, 476, 272, 316, 10142, 825, 1948, 14190, 519, 3593, 547, 14574, 519, 1505, 540, 5044, 11423, 1477, 825, 952, 834, 734, 323, 29174, 257, 538, 19523, 27769, 341, 6769, 1038, 6422, 24512, 4433, 1125, 3418, 825, 952, 834, 734, 18878, 257, 538, 19523, 27769, 341, 6769, 1038, 11979, 24512, 4433, 1125, 3418, 825, 952, 834, 734, 1260, 11772, 542, 257, 538, 19523, 27769, 341, 6769, 1038, 8223, 24512, 4433, 1125, 3418 ]

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

[ 8904, 780, 11693, 602, 546, 284, 519, 3845, 1063, 519, 7740, 540, 2527, 540, 519, 4541, 543, 922, 2893, 601, 924, 267, 681, 284, 519, 8953, 540, 519, 4541, 267, 631, 284, 519, 2527, 540, 519, 4541, 267, 678, 284, 519, 8953, 540, 519, 2893, 601, 924, 267, 544, 284, 519, 2527, 540, 519, 2893, 601, 924, 267, 543, 589, 284, 519, 25916, 531, 3196, 3361, 676, 519, 10047, 540, 519, 2893, 601, 924, 267, 1287, 546, 284, 519, 29157, 23423, 950, 692, 273, 14875, 337, 7933, 274, 266, 288, 815, 717, 332, 29265, 273, 692, 11693, 602, 519, 2893, 601, 924, 568, 512, 14988, 18088, 267, 922, 20771, 543, 24364, 5712, 616, 3160, 269, 4475, 1384, 288, 284, 630, 275, 11027, 273, 337, 8358, 339, 273, 6892, 512, 273, 284, 630, 275, 11027, 476, 273, 323, 274, 19422, 294, 332, 994, 288, 284, 630, 275, 11027, 476, 273, 337, 8358, 18950, 275, 11027, 476, 273, 323, 274, 19422, 294, 332, 264, 8679, 288, 284, 717, 332, 337, 7933, 274, 692, 4517, 692, 273, 14875, 337, 7933, 274, 266, 288, 815, 476, 274, 14875, 337, 7933, 274, 692, 306, 6295, 585, 546, 1384, 323, 274, 270, 274, 14875, 337, 815, 678, 273, 27798, 332, 454, 323, 274, 284, 476, 274, 14875, 337, 274, 27798, 332, 454, 27802, 23082, 25670, 585, 7136, 912, 323, 274, 815, 476, 274, 346, 303, 17839, 564, 16732, 275, 270, 274, 264, 11027, 681, 274, 348, 270, 346, 11679, 520, 269, 16732, 275, 270, 274, 264, 11027, 678, 274, 348, 265, 337, 274, 454, 323, 274, 815, 476, 274, 27456, 17839, 564, 265, 305, 274, 8358, 11679, 520, 563, 323, 274, 815, 681, 274, 265, 274, 27456, 17839, 564, 270, 11679, 520, 8094, 323, 815, 681, 265, 346, 274, 27456, 17839, 564, 270, 11679, 520, 4700, 348, 272, 270, 274, 454, 323, 9625, 681, 265, 272, 269, 4510, 16732, 303, 17839, 564, 270, 11679, 520, 4700, 272, 270, 274, 692, 1607, 17648, 513, 14461, 1560, 543, 568, 267, 4061, 267, 4570, 1152, 585, 22586, 2893, 601, 2572, 540, 1447, 982, 9625, 4335, 14790, 8953, 799, 786, 711, 22775, 883, 14248, 760, 810, 1749, 267, 1317, 519, 3586, 13306, 268, 10174, 540, 476, 274, 2242, 952, 519, 2893, 601, 924, 568, 13412, 269, 1280, 513, 5277, 1560, 267, 621, 568, 2282, 476, 273, 269, 4510, 267, 4758, 519, 3830, 692, 323, 815, 681, 265, 273, 269, 4510, 16732, 303, 17839, 564, 270, 11679, 520, 4700, 272, 270, 274, 692, 19868, 538, 610, 11578, 547, 2328, 1945, 1934, 610, 547, 3346, 4589, 269, 0, 258, 9050, 8454, 540, 1978, 27353, 338, 2285, 1776, 27353, 692, 4131, 1269, 333, 285, 271, 259, 543, 1269, 338, 5332, 7807, 8999, 3709, 330, 284, 272, 11892, 333, 737, 10608, 594, 6743, 693, 519, 7215, 4399, 6234, 21702, 346, 338, 5332, 256, 2410, 263, 338, 5332, 5991, 25631, 4151, 543, 1336, 602, 519, 6824, 568, 1776, 27353, 585, 1269, 330, 284, 272, 267, 273, 267, 274, 267, 275, 8961, 1775, 4318, 269, 6695, 2765, 346, 272, 256, 2410, 271, 256, 13157, 272, 284, 272, 256, 20939, 12101, 282, 315, 2765, 346, 274, 256, 2410, 263, 274, 268, 273, 25631, 13157, 277, 284, 274, 256, 20939, 12101, 282, 315, 2765, 346, 277, 256, 2410, 263, 277, 268, 274, 25631, 13157, 6344, 284, 276, 256, 20939, 12101, 282, 315, 2765, 346, 1015, 256, 2410, 263, 1015, 268, 275, 25631, 13157, 27843, 271, 284, 278, 256, 2330, 634, 4806, 13515, 1934, 2094, 4399, 2765, 346, 1428, 256, 2410, 263, 1428, 268, 276, 25631, 13157, 476, 11740, 11740, 315, 928, 336, 476, 280, 256, 284, 3607, 273, 279, 3199, 259, 543, 594, 6836, 930, 811, 1510, 1967, 780, 1432, 568, 2027, 827, 519, 1101, 2185, 286, 3657, 972, 824, 1806, 2417, 856, 610, 666, 621, 581, 8810, 602, 789, 1810, 1405, 2291, 2496, 8894, 296, 1589, 621, 781, 513, 14626, 2064, 282, 519, 2185, 9163, 1810, 1405, 3100, 547, 2049, 540, 519, 1482, 2601, 269, 634, 1101, 1079, 616, 24735, 267, 519, 1985, 835, 5176, 865, 267, 1317, 596, 4755, 547, 723, 1269, 274, 256, 284, 277, 10608, 634, 1269, 277, 256, 278, 256, 284, 1015, 256, 259, 3961, 568, 7415, 14626, 2064, 855, 621, 519, 1152, 3961, 540, 922, 2186, 1634, 267, 543, 621, 568, 9244, 16143, 602, 972, 616, 1100, 1866, 269, 630, 8450, 4569, 16447, 834, 2399, 3645, 2472, 2668, 264, 1107, 1109, 300, 297, 291, 7325, 476, 1240, 1412, 1724, 693, 476, 2641, 281, 6321, 454, 9827, 4143, 281, 2201, 519, 27353, 4834, 1269, 288, 256, 645, 256, 815, 290, 256, 259, 543, 1269, 288, 256, 289, 256, 290, 256, 815, 667, 256, 259, 1107, 1109, 300, 297, 291, 7325, 476, 1240, 1412, 1724, 693, 476, 2641, 281, 6795, 454, 287, 300, 297, 291, 1684, 596, 2247, 20171, 602, 607, 606, 2626, 286, 1107, 1109, 329, 987, 323, 7325, 476, 1240, 1412, 1724, 693, 476, 2420, 281, 2767, 454, 9616, 6695, 3847, 7268, 8218, 15204, 2410, 322, 348, 1422, 8999, 3709, 330, 284, 272, 8703, 333, 348, 330, 11138, 562, 1422, 754, 15204, 4153, 2431, 21174, 3847, 7268, 8218, 15204, 2410, 322, 348, 1422, 2765, 346, 272, 2410, 273, 348, 333, 13375, 3799, 266, 272, 9368, 9385, 315, 562, 1422, 754, 15204, 4153, 2431, 21174, 2765, 3189, 3847, 7268, 2765, 346, 272, 2410, 273, 348, 333, 3867, 273, 23180, 2765, 346, 272, 2410, 273, 348, 333, 9368, 25631, 7346, 3847, 263, 1422, 2765, 346, 272, 2410, 273, 348, 333, 3867, 273, 348, 910, 1422, 2765, 346, 272, 2410, 273, 348, 333, 9368, 25631, 6525, 14597, 4399, 1410, 1235, 544, 259, 521, 6745, 269, 6695, 3847, 7268, 8218, 15204, 2410, 322, 348, 1422, 8999, 3709, 330, 284, 272, 8703, 333, 348, 330, 11138, 562, 1422, 754, 15204, 4153, 2431, 6661, 332, 256, 269, 2330, 3973, 267, 6695, 3847, 7268, 2765, 346, 272, 2410, 273, 348, 333, 3867, 273, 23180, 2765, 346, 272, 2410, 273, 348, 333, 9368, 25631, 284, 332, 256, 315, 3847, 7268, 2765, 346, 272, 2410, 273, 348, 333, 3867, 273, 32757, 2765, 346, 272, 2410, 273, 348, 587, 490, 25991, 333, 9368, 25631, 2330, 543, 2901, 1269, 332, 256, 259, 610, 4399, 3847, 7268, 2765, 346, 272, 2410, 273, 348, 333, 3867, 273, 32757, 2765, 346, 272, 2410, 273, 348, 333, 9368, 25631, 259, 7941, 4399, 3847, 7268, 2765, 346, 272, 2410, 273, 348, 333, 3867, 273, 23180, 2765, 346, 272, 2410, 273, 348, 333, 9368, 25631, 10608, 1107, 1109, 1706, 7325, 476, 1240, 1412, 1724, 693, 476, 2420, 281, 4029, 454, 287, 329, 987, 323, 28514, 267, 855, 594, 6415, 711, 2386, 621, 2731, 568, 606, 2626, 269, 1107, 1109, 300, 297, 291, 7325, 476, 1240, 1412, 1724, 693, 476, 2420, 281, 5655, 692, 296, 1589, 621, 781, 513, 14626, 2064, 282, 519, 2185, 9163, 1810, 1405, 3100, 547, 2049, 540, 519, 1482, 2601, 269, 634, 1101, 1079, 616, 24735, 267, 519, 1985, 835, 5176, 865, 267, 1317, 596, 4755, 547, 723, 1269, 274, 256, 284, 277, 10608, 634, 1269, 277, 256, 278, 256, 284, 1015, 256, 259, 3961, 568, 7415, 14626, 2064, 855, 621, 519, 1152, 3961, 540, 922, 2186, 1634, 267, 543, 621, 568, 9244, 16143, 602, 972, 616, 1100, 1866, 269, 630, 8450, 519, 4569, 16447, 2376, 593, 834, 2399, 3645, 2472, 2668, 994, 3383, 594, 1589, 1018, 596, 723, 1934, 568, 519, 630, 6202, 8153, 543, 4440, 2189, 264, 14626, 2064, 602, 1269, 277, 256, 278, 256, 815, 476, 1015, 8961, 543, 1287, 602, 4523, 547, 1899, 909, 609, 1614, 4130, 2665, 602, 616, 1447, 9670, 269, 0, 302, 7032, 520, 1779, 2593, 692, 16032, 4388, 543, 15361, 689, 2923, 5001, 692, 27775, 754, 725, 692, 258, 1215, 798, 596, 5173, 3002, 26634, 2496, 1012, 1215, 798, 596, 5173, 3002, 26634, 2496, 763, 3830, 585, 26634, 6645, 721, 602, 519, 2557, 540, 3002, 4483, 630, 304, 14121, 264, 538, 808, 537, 956, 829, 2034, 610, 26334, 267, 568, 3160, 547, 519, 8143, 19428, 540, 519, 1570, 630, 330, 1070, 16611, 676, 519, 2627, 1858, 540, 519, 3615, 538, 3346, 630, 288, 1070, 16611, 676, 519, 3017, 538, 2837, 1063, 519, 1079, 2326, 630, 307, 273, 1107, 570, 272, 1070, 5258, 676, 519, 2560, 692, 2162, 1548, 568, 519, 2489, 3002, 26634, 3830, 2496, 292, 3052, 1421, 634, 1871, 540, 8143, 19428, 693, 2990, 630, 343, 272, 267, 586, 272, 267, 1990, 272, 264, 786, 581, 1482, 607, 602, 693, 930, 824, 2990, 630, 343, 273, 267, 586, 273, 267, 1990, 273, 1040, 634, 2165, 568, 550, 22241, 1797, 267, 519, 1871, 540, 2168, 3601, 693, 513, 1448, 538, 1114, 8846, 786, 581, 1482, 269, 2334, 568, 547, 2161, 737, 343, 284, 5652, 284, 330, 345, 693, 513, 1448, 269, 7684, 692, 2971, 4208, 568, 519, 3002, 3830, 1612, 20326, 2496, 3080, 1223, 849, 2161, 602, 621, 568, 1612, 20326, 1317, 540, 519, 2582, 942, 12045, 269, 634, 3070, 27372, 538, 942, 1141, 513, 2582, 12045, 267, 2864, 982, 513, 2034, 12045, 267, 8060, 602, 4720, 269, 1717, 267, 952, 519, 26634, 1966, 10301, 11931, 1533, 267, 1287, 519, 5487, 680, 659, 1014, 799, 2164, 1287, 568, 8197, 606, 14248, 328, 10364, 3830, 780, 1692, 568, 26634, 3002, 11843, 2496, 3519, 9134, 568, 519, 1184, 676, 799, 3002, 1648, 568, 10299, 998, 21611, 1063, 15231, 8444, 610, 6675, 269, 1452, 31954, 6675, 2458, 728, 609, 741, 15231, 6675, 267, 1818, 873, 849, 5854, 622, 5488, 269, 1306, 891, 6675, 2458, 728, 267, 8143, 1648, 568, 11843, 3842, 26634, 547, 519, 1964, 540, 519, 3443, 780, 1432, 568, 918, 538, 3002, 4483, 2496, 330, 281, 634, 3815, 737, 568, 1572, 519, 8143, 19428, 3586, 269, 634, 8143, 19428, 3586, 737, 568, 3677, 585, 2326, 602, 4483, 3002, 1134, 630, 3697, 4496, 543, 6149, 1070, 543, 737, 568, 1507, 585, 2326, 602, 4483, 3002, 14605, 630, 3697, 2011, 543, 3574, 6393, 1012, 1548, 568, 3002, 2095, 8914, 4542, 2496, 763, 3830, 585, 11931, 15581, 3002, 18236, 609, 2959, 568, 607, 1354, 269, 661, 815, 6543, 479, 270, 395, 369, 271, 3947, 7313, 24480, 779, 3830, 3980, 485, 273, 394, 355, 815, 6567, 16708, 270, 395, 369, 271, 269, 769, 513, 3148, 1141, 972, 616, 1100, 10997, 610, 14768, 267, 6543, 479, 543, 808, 642, 4314, 269, 9747, 649, 3489, 5487, 2897, 779, 3830, 3980, 485, 273, 394, 355, 284, 271, 780, 2162, 1548, 568, 519, 3017, 1063, 11931, 1533, 543, 13417, 1737, 344, 1533, 3002, 4483, 2496, 15152, 853, 1737, 344, 1533, 2175, 519, 2837, 1369, 519, 1062, 1281, 711, 1689, 609, 942, 269, 17957, 267, 896, 13417, 1737, 344, 1533, 2175, 519, 2837, 1369, 519, 1062, 1281, 4268, 609, 942, 780, 2971, 1215, 547, 4194, 519, 835, 21021, 3002, 26634, 3830, 2496, 1892, 10576, 519, 8143, 2175, 593, 7252, 267, 543, 2769, 873, 28879, 607, 10465, 543, 3355, 2175, 269, 3040, 16534, 835, 8820, 3002, 26634, 2042, 543, 3489, 519, 2837, 14778, 1369, 513, 5420, 543, 519, 3002, 13441, 269, 3040, 21302, 835, 8820, 3002, 26634, 538, 17571, 602, 4125, 3002, 5108, 780, 1692, 547, 5173, 3002, 26634, 538, 513, 1279, 12718, 2496, 28959, 1230, 9134, 17817, 538, 513, 7043, 595, 2643, 5407, 476, 1626, 14333, 1230, 9134, 17817, 538, 513, 7043, 595, 2643, 5407, 476, 1704, 14333, 1230, 9134, 17817, 538, 513, 1975, 1877, 476, 1240, 10395, 1441, 2290, 5937, 7645, 14333, 1230, 9134, 17817, 692, 8489, 666, 594, 1265, 519, 476, 272, 546, 3002, 3830, 2496, 272, 634, 476, 272, 5937, 14333, 17817, 476, 272, 269, 272, 8447, 8174, 566, 13129, 281, 2871, 550, 615, 1299, 10557, 19926, 272, 269, 274, 268, 272, 269, 275, 267, 3733, 842, 27138, 1299, 13891, 333, 987, 19926, 273, 269, 272, 543, 19926, 273, 269, 276, 1496, 5353, 696, 269, 476, 279, 267, 476, 1220, 277, 316, 769, 513, 4496, 11425, 609, 1875, 10595, 6134, 2837, 267, 3002, 630, 31516, 1648, 264, 568, 11843, 689, 4525, 540, 2362, 2837, 547, 4525, 540, 2539, 2837, 780, 1012, 6904, 568, 519, 2953, 4542, 585, 8143, 19428, 2496, 1103, 2489, 281, 4107, 2326, 616, 1360, 5176, 24267, 267, 4061, 649, 666, 2356, 2328, 737, 815, 737, 630, 307, 1040, 5381, 8847, 616, 2404, 609, 8143, 2932, 8481, 538, 519, 586, 268, 543, 1990, 1673, 1311, 687, 630, 330, 586, 267, 737, 1990, 16532, 855, 585, 606, 13666, 22241, 1570, 519, 8143, 19428, 568, 4830, 540, 519, 4287, 540, 4483, 267, 737 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1341, 8096, 323, 273, 11850, 8873, 630, 15478, 323, 267, 8096, 323, 272, 11850, 10926, 11357, 4351, 9078, 5914, 318, 1457, 1052, 618, 13634, 258, 16849, 513, 14477, 7302, 4923, 2199, 3541, 1052, 618, 540, 454, 258, 630, 271, 907, 7268, 259, 333, 268, 272, 26895, 476, 589, 2199, 3541, 1052, 618, 568, 513, 3541, 1052, 618, 454, 258, 2608, 21955, 265, 602, 519, 2063, 1747, 949, 581, 513, 6378, 1448, 563, 16482, 258, 898, 781, 1412, 29985, 262, 538, 519, 2631, 602, 267, 2016, 8096, 333, 1004, 543, 513, 454, 258, 11058, 540, 8096, 333, 17914, 596, 666, 5352, 513, 2199, 3541, 1052, 618, 454, 258, 676, 1142, 1268, 538, 2490, 17444, 17914, 856, 540, 519, 11058, 454, 258, 2394, 789, 1205, 835, 602, 3884, 1405, 741, 338, 267, 4180, 602, 454, 258, 630, 29985, 547, 741, 2721, 264, 519, 32089, 5654, 899, 621, 781, 454, 258, 2469, 547, 581, 513, 3541, 1052, 618, 269, 901, 568, 875, 1412, 5353, 4038, 13244, 7055, 258, 3541, 1052, 906, 1419, 3100, 547, 581, 22555, 267, 543, 713, 454, 258, 1184, 3006, 3762, 519, 2063, 1268, 609, 741, 454, 258, 1378, 19044, 563, 16482, 258, 10251, 519, 1412, 5353, 4038, 13244, 262, 1935, 9090, 454, 258, 1281, 711, 2285, 7833, 17831, 547, 1142, 6364, 563, 258, 901, 1599, 267, 593, 519, 824, 1688, 267, 1281, 269, 1496, 4263, 2547, 2676, 258, 621, 781, 9090, 7833, 585, 8096, 333, 10922, 476, 1321, 543, 8806, 513, 1360, 454, 258, 1434, 19406, 585, 3677, 8096, 333, 269, 6540, 3240, 630, 15478, 333, 264, 815, 7711, 318, 3248, 604, 630, 15478, 333, 2652, 476, 271, 264, 13634, 8873, 1496, 30092, 10926, 3240, 630, 15478, 328, 267, 8096, 628, 11611, 11850, 258, 589, 2199, 8096, 333, 268, 1457, 1052, 618, 568, 2901, 513, 2407, 1412, 20135, 7055, 258, 8096, 333, 268, 1457, 1052, 618, 610, 3116, 621, 568, 513, 630, 15478, 333, 268, 272, 9984, 1457, 1052, 618, 609, 454, 258, 513, 6378, 1448, 3773, 693, 519, 1439, 269, 1284, 1590, 3442, 1063, 454, 258, 891, 3681, 609, 3617, 5506, 2597, 532, 563, 258, 8074, 602, 713, 1797, 602, 561, 17624, 815, 546, 17624, 1341, 546, 3709, 330, 268, 272, 348, 1141, 454, 258, 561, 17624, 568, 519, 1297, 540, 2199, 737, 268, 1457, 1052, 906, 543, 546, 17624, 568, 454, 258, 519, 1297, 540, 2698, 737, 268, 1457, 1052, 906, 563, 16482, 258, 8074, 602, 546, 3709, 1321, 348, 2999, 476, 273, 317, 4029, 2999, 546, 3709, 1724, 348, 865, 649, 723, 547, 581, 454, 258, 6297, 540, 24492, 585, 8096, 333, 3436, 476, 1724, 269, 18641, 972, 781, 513, 454, 258, 1434, 19406, 602, 666, 581, 1031, 563, 604, 630, 15478, 333, 10922, 476, 1321, 264, 13634, 258, 12433, 546, 18155, 259, 333, 348, 543, 546, 18155, 259, 333, 268, 272, 348, 543, 513, 4351, 1871, 454, 258, 8096, 328, 538, 1496, 271, 267, 546, 18155, 259, 333, 348, 1341, 546, 18155, 259, 333, 268, 272, 16585, 547, 6430, 799, 540, 454, 258, 519, 1079, 3681, 547, 946, 563, 3240, 630, 15478, 323, 333, 267, 8096, 323, 333, 272, 264, 815, 546, 9078, 318, 13440, 7268, 259, 333, 11850, 15478, 328, 815, 703, 263, 8681, 7268, 259, 323, 333, 10954, 259, 323, 333, 272, 4297, 3248, 15478, 628, 11611, 815, 8096, 323, 333, 272, 3248, 348, 3116, 13634, 258, 1403, 8096, 333, 568, 1804, 1287, 546, 318, 15478, 333, 7933, 18155, 259, 333, 268, 272, 348, 568, 1360, 2673, 547, 454, 258, 8096, 333, 269, 476, 4475, 621, 3513, 798, 547, 4584, 513, 4351, 8096, 328, 538, 519, 454, 258, 2039, 1496, 271, 267, 8096, 333, 316, 543, 1294, 952, 621, 568, 476, 271, 610, 711, 563, 15478, 328, 815, 703, 263, 8681, 7268, 259, 333, 266, 272, 4297, 3248, 15478, 628, 11611, 815, 476, 272, 16963, 258, 594, 1589, 713, 568, 21453, 267, 855, 621, 1175, 1522, 2270, 606, 454, 258, 1055, 8386, 14633, 5470, 269, 634, 909, 3333, 582, 540, 971, 606, 5470, 454, 258, 1131, 581, 513, 4110, 540, 9186, 538, 519, 2164, 602, 568, 454, 258, 2469, 547, 581, 2182, 547, 3713, 910, 596, 949, 723, 547, 2196, 454, 258, 621, 12777, 959, 650, 687, 540, 2053, 547, 4584, 909, 513, 454, 258, 19250, 1713, 1267, 563, 10926, 604, 630, 15478, 328, 2999, 8096, 628, 11611, 264, 13634, 258, 8865, 476, 272, 910, 4584, 513, 5265, 2199, 3541, 1052, 618, 454, 3240, 8096, 323, 815, 4351, 318, 1457, 1052, 618, 7268, 259, 333, 268, 272, 11850, 335, 2313, 7711, 15478, 323, 267, 8096, 333, 268, 272, 3248, 8873, 8096, 323, 3248, 348, 3116, 13634, 258, 8865, 476, 273, 910, 4584, 513, 2698, 3541, 1052, 618, 454, 3240, 8096, 323, 815, 4351, 318, 1457, 1052, 618, 7268, 259, 333, 11850, 8873, 8096, 323, 3248, 8679, 10926, 11357, 4351, 318, 1457, 1052, 618, 13634, 258, 16849, 513, 14477, 7302, 4923, 630, 20135, 264, 3541, 1052, 618, 540, 454, 258, 630, 271, 907, 7268, 259, 333, 268, 272, 24270, 25144, 7302, 4923, 10838, 782, 2009, 454, 258, 3541, 1052, 906, 780, 3240, 630, 15478, 333, 264, 815, 7711, 318, 3248, 604, 630, 15478, 333, 2652, 476, 271, 264, 13634, 8873, 1496, 30092, 10926, 258, 1703, 616, 630, 333, 268, 272, 264, 561, 3709, 333, 268, 272, 348, 540, 873, 267, 865, 4584, 513, 630, 684, 6134, 569, 994, 258, 4351, 2199, 630, 15478, 333, 268, 272, 9984, 1457, 1052, 618, 543, 513, 4351, 8096, 332, 538, 519, 454, 258, 2039, 1496, 271, 267, 8096, 333, 268, 272, 1916, 3240, 8096, 671, 815, 4351, 9078, 5914, 318, 1457, 1052, 618, 7268, 259, 333, 268, 272, 11850, 3240, 8096, 332, 815, 703, 263, 8681, 7268, 259, 333, 268, 272, 4297, 16963, 258, 1403, 700, 17624, 568, 519, 1305, 540, 782, 2199, 737, 268, 1457, 1052, 906, 543, 667, 17624, 454, 258, 568, 519, 1305, 540, 782, 2698, 737, 268, 1457, 1052, 906, 1287, 519, 3009, 454, 258, 2630, 1958, 3941, 519, 6169, 602, 630, 333, 268, 272, 264, 561, 3709, 333, 268, 272, 348, 815, 546, 5332, 538, 513, 454, 258, 1979, 20287, 1063, 1496, 271, 267, 8096, 333, 268, 272, 264, 1535, 700, 3709, 333, 268, 272, 348, 543, 667, 3709, 333, 348, 563, 16482, 258, 4595, 519, 6292, 630, 15478, 332, 267, 8096, 671, 264, 616, 6074, 25144, 267, 713, 454, 258, 2982, 602, 519, 4611, 3541, 1052, 618, 568, 849, 25144, 454, 258, 6074, 780, 604, 630, 15478, 333, 268, 273, 2652, 8096, 671, 15010, 314, 15478, 333, 268, 273, 8079, 13634, 258, 8096, 671, 568, 5265, 2199, 269, 4475, 519, 5551, 454, 258, 3541, 1052, 618, 2220, 2355, 519, 8096, 332, 1405, 327, 543, 2063, 4025, 543, 454, 258, 3096, 8096, 671, 547, 3541, 1052, 519, 824, 4025, 780, 3240, 8096, 329, 815, 8096, 333, 268, 272, 3248, 6112, 630, 15478, 329, 734, 264, 13634, 3240, 8096, 330, 815, 8096, 329, 2999, 8096, 332, 7790, 8096, 329, 2433, 8096, 329, 268, 272, 3248, 15478, 671, 15010, 314, 15478, 329, 2639, 284, 8096, 671, 15010, 314, 15478, 330, 316, 2999, 8096, 332, 7790, 8096, 671, 15010, 314, 15478, 330, 316, 2433, 8096, 671, 15010, 314, 15478, 330, 27994, 272, 3248, 8679, 15478, 671, 15010, 314, 15478, 333, 268, 272, 316, 815, 8096, 332, 3248, 15478, 671, 15010, 314, 15478, 332, 316, 815, 8096, 333, 268, 272, 3248, 8873, 8096, 671, 3248, 348, 3116, 13634, 258, 8096, 671, 568, 2698, 269, 4475, 2322, 519, 8096, 332, 1405, 327, 7127, 693, 519, 454, 258, 1439, 543, 2322, 8096, 333, 268, 272, 538, 519, 8096, 332, 1405, 327, 1747, 780, 15478, 671, 15010, 314, 15478, 333, 268, 272, 316, 815, 8096, 671, 15010, 314, 15478, 332, 30092, 15478, 671, 15010, 314, 15478, 332, 316, 815, 8096, 333, 268, 272, 3248, 8873, 8096, 671, 3248, 8679, 10926, 11357, 2638, 318, 1457, 1052, 618, 13634, 258, 6744, 602, 649, 723, 2731, 6383, 513, 3541, 1052, 618, 454, 3240, 630, 15478, 333, 267, 8096, 323, 264, 815, 7711, 318, 16963, 3240, 8096, 338, 815, 6443, 22207, 22207, 7711, 15478, 323, 16963, 23135, 834, 310, 3994, 3259, 281, 8096, 338, 630, 15478, 333, 17983, 8259, 630, 15478, 333, 2652, 7711, 15478, 323, 11850, 1721, 630, 3240, 8096, 328, 815, 476, 271, 282, 8096, 328, 2999, 8096, 333, 282, 8096, 328, 10030, 264, 13634, 23135, 834, 8253, 513, 3541, 1052, 618, 281, 8096, 338, 257, 952, 630, 15478, 328, 2652, 8096, 323, 15010, 314, 15478, 328, 8079, 3248, 23135, 834, 296, 331, 29729, 1871, 281, 8096, 323, 15010, 314, 15478, 328, 316, 538, 8096, 338, 4840, 604, 630, 15478, 323, 15010, 314, 15478, 328, 316, 2999, 476, 271, 13466, 8096, 323, 15010, 314, 15478, 328, 316, 13843, 8096, 333, 11850, 10926, 24834, 13634, 3240, 7711, 13765, 318, 684, 1664, 815, 4990, 2715, 8096, 320, 10922, 285, 8096, 321, 13466, 3768, 1030, 7684, 7711, 15478, 323, 3248, 348, 3248, 23135, 834, 4462, 21348, 2638, 8959, 281, 8096, 338, 257, 952, 8096, 287, 3248, 10926, 3240, 8096, 333, 815, 8096, 2752, 294, 309, 314, 271, 316, 16963, 3240, 4939, 325, 815, 630, 11850, 3240, 8096, 322, 815, 476, 271, 16963, 1721, 630, 3240, 8096, 328, 815, 476, 271, 282, 8096, 328, 2999, 476, 272, 324, 277, 282, 8096, 328, 10030, 264, 13634, 3240, 8096, 323, 815, 4351, 318, 1457, 1052, 618, 7268, 259, 333, 11850, 13765, 318, 1457, 1052, 618, 7268, 259, 333, 267, 8096, 323, 11850, 3240, 8096, 338, 815, 6443, 22207, 3299, 7711, 15478, 323, 3248, 15478, 325, 3189, 259, 338, 348, 6834, 476, 272, 3248, 15478, 322, 6834, 476, 272, 3248, 10926, 1721, 1250, 8096, 4486, 630, 338, 677, 11513, 259, 325, 3189, 259, 320, 348, 10922, 285, 8096, 325, 3189, 259, 321, 3686, 10569, 4939, 325, 264, 13634, 2745, 325, 834, 260, 338, 281, 4939, 271, 269, 273, 325, 260, 260, 630, 1410, 4624, 4939, 266, 271, 269, 273, 325, 260, 8472, 315, 333, 2580, 8096, 4486, 267, 476, 1911, 269, 271, 265, 7268, 259, 325, 3189, 259, 4486, 348, 13045, 10954, 259, 322, 13211, 1911, 269, 271, 16732, 7268, 259, 325, 3189, 259, 4486, 348, 270, 15478, 322, 9984, 263, 272, 269, 271, 14370, 2675, 531, 541, 10569, 4939, 325, 4297, 11850, 10926, 2745, 325, 834, 13707, 4939, 323, 630, 260, 323, 8255, 9385, 333, 2580, 630, 2675, 531, 541, 10569, 4939, 325, 1070, 8096, 322, 16963, 1607, 7472, 3977, 899, 519, 1739, 692, 3499, 15478, 1547, 270, 1457, 1052, 906, 269, 680, 476, 275, 454, 273, 267, 274, 267, 271, 267, 272, 281, 476, 1556, 269, 5400, 260, 630, 1410, 4624, 910, 271, 269, 6734, 260, 994, 272, 267, 271, 267, 274, 267, 273, 281, 476, 1556, 269, 6021, 260, 630, 1410, 4624, 910, 271, 269, 6349, 260, 994, 273, 267, 274, 267, 272, 267, 271, 281, 476, 1556, 269, 1015, 260, 630, 1410, 4624, 910, 271, 269, 4905, 260, 994, 272, 267, 274, 267, 271, 267, 273, 281, 476, 1556, 269, 1556, 260, 630, 1410, 4624, 910, 271, 269, 4905, 260, 994, 273, 267, 271, 267, 274, 267, 272, 281, 476, 1556, 269, 1556, 260, 630, 1410, 4624, 910, 271, 269, 876, 260, 994, 272, 267, 273, 267, 274, 267, 271, 281, 476, 1556, 269, 1321, 260, 630, 1410, 4624, 1341, 271, 269, 4905, 260, 994, 274, 267, 271, 267, 272, 267, 273, 281, 476, 1556, 269, 1321, 260, 630, 1410, 4624, 1341, 271, 269, 4905, 260, 994, 274, 267, 273, 267, 272, 267, 271, 281, 476, 1556, 269, 1724, 260, 630, 1410, 4624, 1341, 271, 269, 6349, 260, 994, 274, 267, 273, 267, 271, 267, 272, 281, 476, 1556, 269, 1691, 260, 630, 1410, 4624, 1341, 271, 269, 6734, 260, 994, 13707, 476, 280, 630, 1911, 1822, 271, 8255, 2020, 28733, 569, 602, 781, 711, 2484, 1055, 7833, 2439, 2080, 568, 513, 2487, 2376, 10503, 513, 12863, 5690, 585, 10386, 3541, 1052, 906, 269, 594, 849, 1336, 15942, 585, 519, 6881, 269, 4595, 519, 1957, 568, 865, 2487, 267, 594, 7058, 713, 1797, 602, 513, 1507, 14842, 540, 17384, 25286, 919, 568, 12691, 547, 5352, 3541, 1052, 906, 267, 2094, 2576, 1131, 723, 2907, 2097, 909, 609, 621, 676, 1631, 269, 12846, 267, 741, 5690, 568, 538, 268, 2897, 543, 814, 1732, 4397, 4881, 942, 982, 1427, 11538, 17384, 25286, 919, 2394, 596, 1205, 513, 3541, 1052, 618, 780, 2080, 568, 513, 3131, 331, 6388, 594, 627, 5792, 909, 269, 898, 568 ]

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

[ 0, 5814, 10934, 24965, 576, 454, 5814, 19523, 454, 5814, 795, 5459, 692, 12163, 17504, 4032, 7151, 538, 519, 11822, 5124, 10934, 24965, 576, 17563, 454, 20701, 332, 337, 815, 10934, 24965, 576, 8160, 777, 24965, 576, 10797, 258, 815, 13117, 7529, 4499, 454, 258, 1684, 711, 12189, 1657, 713, 1899, 692, 258, 1219, 544, 1952, 518, 263, 13440, 867, 2187, 258, 672, 1948, 1883, 281, 3561, 32165, 454, 258, 672, 1948, 1871, 281, 3561, 9115, 454, 258, 672, 1883, 815, 2594, 314, 271, 2639, 258, 672, 1871, 815, 2594, 314, 272, 2639, 258, 672, 1913, 815, 1871, 21858, 4590, 258, 672, 585, 530, 538, 1913, 912, 258, 11434, 32275, 269, 655, 527, 18425, 23059, 26028, 267, 476, 272, 2020, 258, 1219, 1487, 1356, 31107, 267, 1592, 15058, 28767, 2187, 258, 672, 1948, 1883, 281, 2262, 454, 258, 672, 1948, 1871, 281, 1592, 540, 12136, 12523, 454, 258, 672, 1948, 1820, 1592, 15058, 28767, 454, 258, 672, 2698, 815, 476, 271, 454, 258, 672, 585, 642, 538, 1592, 15058, 28767, 912, 258, 11434, 2698, 6834, 642, 454, 258, 672, 32275, 269, 655, 527, 9230, 4486, 267, 2698, 11723, 258, 1219, 544, 1952, 518, 263, 13440, 867, 2187, 258, 672, 1948, 1883, 281, 3561, 32165, 454, 258, 672, 1948, 1871, 281, 3561, 9115, 454, 258, 672, 1948, 3977, 281, 2262, 2433, 1257, 3561, 538, 799, 621, 5526, 454, 258, 672, 1883, 815, 2594, 314, 271, 2639, 258, 672, 1871, 815, 2594, 314, 272, 2639, 258, 672, 1913, 815, 1871, 21858, 4590, 258, 672, 585, 530, 538, 1913, 912, 258, 1363, 32275, 269, 655, 527, 18425, 23059, 26028, 267, 1883, 9239, 258, 1219, 1487, 1356, 31107, 267, 1592, 15058, 28767, 2567, 22322, 258, 567, 1948, 1883, 281, 2262, 454, 258, 567, 1948, 1871, 281, 1592, 540, 12136, 12523, 454, 258, 567, 1948, 3977, 281, 2262, 2433, 1496, 4289, 540, 6054, 2639, 258, 567, 32275, 269, 655, 527, 9230, 4486, 267, 1592, 263, 3553, 9230, 4289, 15058, 28767, 4297, 4297, 2020, 258, 1219, 544, 1952, 518, 263, 13440, 867, 2187, 258, 567, 1948, 3403, 281, 513, 2594, 454, 258, 567, 1948, 3977, 281, 1931, 16182, 2433, 1964, 540, 3611, 695, 527, 454, 258, 567, 32275, 269, 655, 527, 18425, 23059, 263, 13440, 867, 314, 272, 3910, 2594, 2020, 258, 1219, 1487, 1356, 31107, 267, 1592, 15058, 28767, 2187, 258, 567, 1948, 1883, 281, 2262, 454, 258, 567, 1948, 1871, 281, 1592, 540, 12136, 12523, 454, 258, 567, 1948, 3977, 281, 2262, 2433, 1496, 4289, 540, 6054, 2639, 258, 567, 585, 2594, 538, 1592, 15058, 28767, 314, 272, 281, 14158, 258, 672, 6443, 815, 1592, 15058, 28767, 314, 271, 316, 1341, 2594, 454, 258, 672, 32275, 269, 655, 527, 263, 21860, 994, 3698, 544, 1952, 518, 263, 13440, 867, 2187, 476, 952, 263, 13440, 867, 314, 271, 316, 2652, 834, 320, 257, 2187, 825, 585, 737, 538, 2039, 263, 271, 267, 476, 276, 2187, 8587, 32275, 269, 655, 527, 18425, 23059, 9230, 13440, 867, 314, 272, 3910, 737, 1070, 9497, 320, 2580, 2594, 314, 273, 3910, 2594, 314, 274, 28413, 476, 3116, 912, 825, 585, 1775, 538, 2039, 263, 271, 267, 476, 276, 2187, 8587, 32275, 269, 655, 527, 18425, 23059, 9230, 328, 267, 2594, 314, 273, 25818, 9497, 321, 2580, 2594, 314, 272, 3910, 2594, 314, 274, 8079, 2020, 3698, 1487, 1356, 31107, 267, 1592, 15058, 28767, 2187, 476, 1948, 1820, 1883, 267, 1592, 15058, 28767, 454, 476, 18304, 288, 815, 1592, 263, 271, 585, 1775, 538, 2039, 263, 271, 267, 476, 276, 4917, 476, 18304, 289, 815, 1592, 263, 271, 585, 1775, 538, 2039, 263, 271, 267, 476, 276, 4917, 476, 585, 1899, 538, 1592, 15058, 28767, 912, 825, 952, 1899, 314, 271, 316, 2652, 834, 320, 13426, 8587, 18304, 288, 314, 1467, 314, 272, 14963, 815, 1899, 314, 273, 2639, 825, 3116, 912, 8587, 18304, 289, 314, 1467, 314, 272, 14963, 815, 1899, 314, 273, 2639, 476, 9103, 11764, 815, 476, 271, 454, 476, 585, 1775, 538, 2039, 263, 271, 267, 276, 2187, 825, 9103, 11764, 6834, 18304, 288, 5157, 316, 2608, 18304, 289, 5157, 2639, 476, 32275, 269, 655, 527, 9230, 4486, 314, 271, 3910, 1883, 314, 272, 3910, 9103, 11764, 11723, 258, 1684, 711, 12189, 2630, 713, 1899, 454, 258, 815, 13117, 7529, 4499, 454, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 476, 3403, 11907, 815, 1930, 4433, 903, 27769, 341, 314, 272, 7481, 476, 32275, 20216, 31146, 9272, 11907, 267, 544, 1952, 518, 267, 1487, 1356, 994, 0, 2260, 676, 1219, 1588, 782, 519, 1126, 27836, 333, 864, 741, 3237, 3601, 267, 602, 338, 849, 875, 922, 960, 538, 519, 9226, 18472, 269, 782, 519, 1016, 1362, 610, 1126, 1362, 3097, 14826, 786, 9100, 26938, 741, 2385, 1362, 454, 5035, 9441, 912, 8931, 825, 1219, 3434, 281, 22322, 1363, 1820, 9497, 322, 8504, 568, 513, 4862, 960, 5602, 8587, 1219, 27697, 912, 1038, 1820, 2891, 3832, 325, 568, 1659, 16341, 5016, 5035, 10324, 630, 655, 1943, 2465, 264, 12262, 676, 4304, 519, 9441, 2012, 1934, 10324, 538, 9618, 13330, 782, 519, 2934, 9441, 814, 1038, 454, 11434, 454, 8587, 1219, 5604, 912, 1038, 1820, 2891, 10324, 849, 723, 547, 798, 930, 5604, 960, 5602, 13872, 11434, 1219, 27459, 1047, 912, 1038, 1820, 2891, 789, 616, 19217, 518, 1932, 5602, 13872, 1362, 13962, 318, 2006, 4526, 263, 1410, 1815, 5737, 2567, 476, 12262, 713, 568, 1289, 3818, 682, 557, 538, 9618, 13330, 713, 1362, 786, 9100, 26938, 782, 519, 10305, 689, 579, 701, 518, 1362, 563, 1038, 1820, 263, 834, 723, 547, 581, 782, 538, 835, 5602, 825, 454, 476, 6022, 1662, 815, 3434, 4590, 476, 1323, 340, 815, 10324, 4590, 476, 1323, 340, 4732, 10967, 341, 1047, 4590, 476, 25795, 815, 13962, 318, 2006, 4526, 454, 476, 544, 926, 6983, 809, 3097, 22322, 22322, 22322, 22322, 22322, 22322, 22322, 22322, 22322, 22322, 22322, 22322, 22322, 22322, 22322, 22322, 22322, 0, 12163, 25219, 527, 15533, 585, 2870, 18700, 14449, 563, 12163, 1029, 2246, 4243, 1029, 815, 22373, 291, 755, 514, 30197, 31116, 1029, 322, 9728, 1029, 815, 834, 15648, 476, 1001, 275, 267, 10713, 924, 632, 27292, 4840, 1029, 920, 323, 1080, 1029, 815, 22373, 291, 755, 514, 30197, 31116, 1029, 997, 1619, 1029, 815, 834, 274, 12641, 1021, 645, 16256, 4840, 1029, 10852, 1555, 518, 1029, 815, 834, 291, 755, 514, 30197, 4840, 1029, 16942, 1029, 815, 834, 933, 6277, 323, 287, 10098, 5016, 5814, 19523, 454, 5814, 11885, 454, 5814, 21267, 28272, 607, 12301, 454, 5814, 2979, 454, 5228, 533, 1803, 7568, 273, 6155, 21648, 1115, 1104, 667, 1619, 17637, 30467, 454, 5814, 524, 303, 1157, 548, 454, 5814, 19073, 321, 7531, 5035, 5246, 574, 539, 6756, 306, 2869, 531, 273, 291, 20573, 1619, 17637, 30467, 2187, 825, 8173, 825, 9198, 919, 1239, 585, 513, 476, 273, 291, 5169, 10704, 5246, 574, 539, 6756, 18700, 630, 328, 4318, 269, 513, 18700, 454, 825, 540, 519, 1106, 692, 11434, 678, 815, 513, 265, 315, 9064, 1341, 536, 692, 825, 585, 1022, 1483, 2338, 513, 543, 536, 538, 8701, 10974, 1916, 825, 8173, 825, 9041, 29239, 318, 23092, 815, 476, 272, 692, 825, 1219, 6449, 8181, 9191, 454, 1038, 1582, 267, 2230, 8782, 337, 267, 9064, 3299, 2490, 318, 3433, 284, 272, 267, 3845, 284, 271, 2676, 1038, 23451, 318, 31709, 284, 273, 265, 4118, 32564, 267, 5439, 284, 1911, 271, 2676, 1038, 2318, 5334, 2217, 318, 3433, 284, 271, 269, 276, 267, 678, 978, 22561, 267, 552, 27432, 8548, 738, 328, 680, 1512, 284, 273, 2676, 1038, 4305, 8782, 5035, 2305, 3299, 4452, 24786, 22561, 267, 4688, 24786, 22561, 454, 825, 476, 2187, 1038, 8173, 1038, 30352, 454, 1038, 28612, 734, 454, 1038, 2230, 2433, 5569, 454, 2018, 6787, 547, 5352, 519, 1239, 607, 8953, 268, 4120, 8424, 18011, 337, 267, 9064, 10807, 610, 454, 2018, 1535, 3917, 8424, 18011, 343, 11971, 262, 1916, 1038, 2490, 318, 3433, 2433, 5595, 454, 2018, 2549, 870, 676, 799, 547, 2490, 519, 18700, 563, 1038, 3845, 281, 5595, 454, 2018, 20028, 1063, 20422, 7140, 563, 1038, 23451, 318, 31709, 2433, 5595, 454, 2018, 7101, 3780, 540, 3808, 532, 5858, 269, 901, 568, 5921, 547, 1832, 519, 2450, 454, 2018, 540, 519, 1239, 1305, 8778, 762, 563, 1038, 5439, 2433, 703, 454, 2018, 7089, 540, 5439, 547, 5352, 563, 1038, 2318, 5334, 2217, 318, 3433, 2433, 10581, 454, 2018, 7464, 1871, 538, 2039, 1496, 271, 267, 272, 316, 7114, 519, 6871, 540, 5439, 454, 2018, 602, 1058, 581, 2318, 269, 8307, 10858, 585, 8760, 4247, 563, 1038, 552, 27432, 8548, 738, 328, 680, 1512, 2433, 703, 454, 2018, 2480, 2297, 519, 8417, 540, 6476, 1063, 2338, 563, 1038, 678, 978, 2433, 703, 454, 2018, 23268, 585, 4351, 1297, 11718, 563, 1038, 4305, 2433, 5569, 454, 2018, 6787, 9072, 1058, 581, 9352, 2418, 585, 1412, 5035, 2305, 262, 610, 519, 454, 2018, 1985, 1871, 538, 519, 5311, 585, 1036, 2811, 326, 1833, 23823, 1038, 4452, 24786, 2433, 5569, 454, 2018, 11202, 689, 799, 547, 4452, 1239, 563, 1038, 4688, 24786, 2433, 5569, 454, 2018, 11202, 547, 799, 519, 1239, 1058, 581, 10710, 563, 1038, 29185, 1038, 1948, 4406, 28371, 6724, 543, 1305, 4759, 4632, 454, 1038, 7682, 4433, 10628, 2652, 1412, 343, 11971, 262, 610, 2230, 2652, 1412, 337, 267, 9064, 5073, 1038, 1582, 4732, 10628, 815, 2230, 692, 1038, 1582, 6745, 1248, 318, 3433, 815, 2490, 318, 3433, 454, 1038, 1582, 6155, 2700, 815, 3845, 692, 1038, 7682, 6357, 2432, 318, 31709, 3436, 476, 271, 264, 476, 1948, 1548, 1281, 513, 2942, 8953, 1611, 888, 1038, 7682, 6357, 2432, 318, 31709, 3436, 3845, 994, 1038, 1582, 12500, 2432, 318, 31709, 815, 23451, 318, 31709, 454, 1038, 1582, 27982, 318, 9064, 815, 630, 1345, 12500, 2432, 318, 31709, 910, 1582, 6155, 2700, 8358, 1345, 6745, 1248, 318, 3433, 692, 1038, 7682, 4433, 3263, 3436, 476, 271, 994, 1038, 1582, 4732, 3263, 815, 5439, 692, 1038, 7682, 263, 27168, 5334, 2217, 318, 3433, 13843, 476, 271, 994, 1038, 7682, 263, 27168, 5334, 2217, 318, 3433, 10922, 476, 272, 994, 1038, 1582, 269, 27168, 5334, 2217, 318, 3433, 815, 2318, 5334, 2217, 318, 3433, 692, 1038, 7682, 263, 22668, 8548, 738, 328, 680, 1512, 3436, 476, 272, 994, 1038, 1582, 269, 22668, 815, 552, 27432, 8548, 738, 328, 680, 1512, 265, 338, 903, 269, 15615, 318, 16769, 269, 22668, 692, 1038, 7682, 6025, 2532, 2652, 1412, 5035, 2305, 262, 610, 4305, 2652, 1412, 2958, 1833, 5073, 1038, 1582, 6745, 2532, 815, 4305, 692, 1038, 952, 630, 339, 2532, 2652, 1412, 2958, 1833, 262, 2187, 2018, 1582, 269, 27168, 5334, 2217, 318, 3433, 815, 476, 272, 692, 1038, 1948, 19461, 1125, 681, 7582, 454, 1038, 952, 678, 978, 568, 7183, 912, 2018, 1582, 25331, 978, 815, 11885, 20179, 10611, 24655, 13750, 4311, 11519, 29239, 318, 23092, 994, 1038, 3116, 912, 2018, 1582, 25331, 978, 815, 11885, 20179, 10611, 24655, 13750, 16868, 978, 2020, 1038, 952, 4452, 24786, 568, 7183, 912, 2018, 630, 311, 267, 586, 264, 815, 1582, 11519, 2102, 4733, 12774, 4590, 1038, 3116, 912, 2018, 630, 311, 267, 586, 264, 815, 524, 303, 1157, 548, 269, 2903, 263, 13449, 263, 2903, 24786, 267, 1412, 337, 321, 10807, 2020, 1038, 952, 4688, 24786, 568, 711, 7183, 912, 2018, 524, 303, 1157, 548, 6155, 2794, 9230, 311, 267, 586, 1070, 1930, 4433, 1511, 24786, 267, 1412, 342, 321, 10807, 2020, 1038, 2706, 263, 19425, 574, 539, 6756, 306, 2869, 531, 273, 291, 267, 1582, 1040, 1029, 8181, 9191, 311, 284, 311, 267, 586, 284, 344, 2020, 825, 1219, 9041, 2102, 4733, 12774, 4311, 2187, 1038, 8173, 1038, 9198, 919, 2473, 543, 586, 14290, 585, 667, 1619, 17637, 30467, 3355, 1436, 454, 1038, 1599, 563, 1038, 29185, 1038, 1948, 335, 27219, 15630, 4671, 15869, 10797, 1038, 1948, 8073, 4351, 5439, 454, 1038, 586, 815, 11885, 25910, 9230, 1345, 4732, 3263, 267, 476, 272, 11723, 1038, 1948, 22953, 2013, 454, 1038, 952, 1582, 6745, 2532, 2652, 1412, 2958, 1833, 12466, 2018, 7663, 1186, 815, 1582, 4732, 3263, 1341, 476, 272, 692, 2018, 18232, 307, 815, 1582, 27982, 318, 9064, 1315, 10581, 4311, 4732, 3263, 994, 2018, 2473, 815, 11885, 25910, 9230, 338, 10102, 267, 476, 273, 4917, 2018, 585, 1775, 538, 2039, 263, 272, 267, 2473, 17482, 314, 271, 316, 2187, 3546, 2473, 5157, 267, 476, 272, 316, 815, 2473, 5157, 268, 272, 267, 476, 272, 316, 1341, 18232, 307, 454, 3546, 2473, 5157, 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 ]

[ 281, 476, 2004, 279, 11835, 1441, 281, 5463, 476, 1001, 277, 454, 3918, 281, 630, 1321, 290, 264, 6178, 636, 9577, 454, 25284, 713, 538, 9338, 294, 7154, 585, 476, 1321, 9573, 454, 314, 383, 371, 316, 1496, 343, 11054, 316, 1496, 18414, 343, 316, 1496, 284, 6540, 11277, 1496, 305, 13478, 316, 4159, 476, 11277, 454, 11277, 1496, 6224, 306, 316, 1496, 305, 13478, 316, 4159, 476, 11277, 692, 6781, 913, 6296, 1413, 899, 589, 7034, 1599, 780, 294, 30790, 454, 6734, 268, 6734, 268, 1001, 280, 267, 476, 6734, 281, 4097, 6751, 454, 8070, 281, 1948, 1556, 454, 678, 2889, 338, 704, 328, 18947, 16588, 24762, 281, 476, 274, 267, 5392, 275, 11835, 1441, 281, 5463, 476, 1001, 274, 454, 3918, 281, 630, 1321, 290, 264, 6178, 636, 9577, 454, 263, 6734, 268, 6734, 268, 1001, 280, 476, 6349, 281, 4375, 6751, 264, 294, 30790, 654, 4710, 281, 476, 1109, 25284, 713, 538, 9338, 294, 7154, 585, 476, 1321, 9573, 454, 314, 383, 371, 316, 1496, 343, 11054, 316, 1496, 18414, 343, 316, 1496, 284, 6540, 11277, 1496, 305, 13478, 316, 4159, 476, 11277, 454, 11277, 1496, 6224, 306, 316, 1496, 305, 13478, 316, 4159, 476, 11277, 692, 6781, 913, 6296, 1413, 899, 589, 7034, 1599, 780, 294, 30790, 692, 5591, 267, 519, 1657, 1982, 7024, 910, 272, 269, 876, 593, 513, 476, 1321, 9573, 267, 607, 4144, 2678, 16143, 780, 306, 2975, 24520, 267, 594, 1185, 547, 2119, 1250, 1101, 620, 613, 321, 686, 659, 7154, 1982, 593, 513, 476, 1321, 9573, 13718, 19950, 532, 772, 11520, 12442, 1384, 4002, 519, 3355, 476, 1321, 9573, 630, 29592, 519, 630, 1070, 25613, 334, 543, 645, 2931, 10628, 941, 3773, 264, 519, 1657, 1982, 7024, 910, 272, 269, 876, 267, 855, 593, 2663, 3631, 630, 10175, 519, 15692, 900, 15975, 264, 7024, 476, 11277, 607, 717, 30790, 4080, 780, 28733, 569, 513, 17079, 267, 594, 991, 547, 2263, 2250, 17079, 5359, 269, 2271, 30698, 569, 267, 519, 3355, 2623, 568, 2953, 543, 519, 2663, 568, 711, 267, 1498, 621, 4667, 12691, 971, 513, 17079, 814, 2760, 1044, 8068, 543, 6378, 13718, 734, 7692, 18370, 704, 328, 454, 6734, 268, 6734, 268, 1001, 280, 267, 476, 6860, 281, 6795, 6751, 454, 8070, 281, 1948, 1321, 454, 7338, 21890, 7825, 18947, 16588, 24762, 281, 476, 272, 267, 275, 4366, 11835, 1441, 281, 5463, 476, 1001, 274, 454, 3918, 281, 630, 1321, 290, 264, 6178, 636, 9577, 454, 263, 6734, 268, 6734, 268, 1001, 280, 476, 4905, 281, 1428, 6751, 264, 2704, 6975, 26960, 654, 4710, 281, 476, 1109, 2252, 513, 1297, 1535, 1185, 606, 10462, 3815, 476, 272, 266, 15770, 267, 630, 343, 6440, 263, 272, 266, 15770, 4297, 11054, 815, 1535, 11054, 6440, 263, 272, 266, 273, 15770, 266, 15770, 11054, 264, 9881, 486, 1535, 11054, 6440, 263, 272, 266, 273, 15770, 2020, 2467, 781, 1100, 834, 15635, 1643, 1399, 257, 950, 621, 2501, 547, 24263, 2338, 563, 15987, 713, 949, 581, 1644, 621, 3085, 1405, 2491, 1018, 781, 2469, 593, 780, 10267, 619, 454, 24171, 454, 6734, 268, 6734, 268, 1001, 280, 267, 476, 4962, 281, 7906, 6751, 630, 1607, 2022, 729, 2063, 9168, 281, 476, 6734, 268, 6734, 268, 1001, 280, 476, 6187, 281, 4905, 6751, 676, 4144, 2678, 8094, 8070, 281, 1948, 1724, 454, 4144, 2678, 18947, 16588, 24762, 281, 476, 273, 267, 4375, 279, 11835, 1441, 281, 5463, 476, 1001, 274, 454, 3918, 281, 630, 1321, 290, 264, 6178, 636, 9577, 454, 263, 6734, 268, 6734, 268, 1001, 280, 476, 6734, 281, 4097, 6751, 264, 337, 2889, 338, 704, 328, 654, 4710, 281, 476, 1109, 4002, 519, 3355, 476, 1321, 9573, 630, 29592, 519, 630, 1070, 25613, 334, 543, 645, 2931, 10628, 941, 3773, 264, 519, 1657, 1982, 7024, 910, 272, 269, 876, 267, 855, 593, 2663, 3631, 630, 10175, 519, 15692, 900, 15975, 264, 7024, 476, 11277, 607, 717, 30790, 4080, 780, 6546, 781, 2731, 20868, 269, 1948, 268, 2020, 296, 4898, 1018, 4523, 538, 2147, 2665, 899, 692, 273, 1496, 266, 316, 1496, 18414, 343, 316, 1496, 284, 2639, 528, 454, 276, 1496, 343, 316, 1496, 299, 301, 316, 1496, 343, 11054, 316, 1496, 284, 6540, 296, 9364, 2503, 476, 274, 267, 6078, 543, 476, 1321, 267, 4817, 855, 15069, 596, 2760, 917, 13718, 13312, 2678, 454, 6734, 268, 6734, 268, 1001, 280, 267, 476, 6187, 281, 7367, 6751, 630, 1607, 2022, 729, 2063, 9168, 281, 476, 6734, 268, 6734, 268, 1001, 280, 476, 6187, 281, 4649, 6751, 676, 717, 3205, 654, 269, 15016, 6242, 8094, 8070, 281, 1948, 1691, 454, 717, 3205, 654, 269, 15016, 6242, 18947, 16588, 24762, 281, 476, 272, 267, 9965, 11835, 1441, 281, 5463, 476, 1001, 274, 454, 3918, 281, 630, 1321, 290, 264, 6178, 636, 9577, 454, 263, 6734, 268, 6734, 268, 1001, 280, 476, 4962, 281, 7906, 6751, 264, 13312, 2678, 654, 4710, 281, 476, 1109, 296, 4898, 1018, 4523, 538, 2147, 2665, 899, 692, 273, 1496, 266, 316, 1496, 18414, 343, 316, 1496, 284, 2639, 528, 454, 276, 1496, 343, 316, 1496, 299, 301, 316, 1496, 343, 11054, 316, 1496, 284, 6540, 296, 9364, 2503, 476, 274, 267, 6078, 543, 476, 1321, 267, 4817, 855, 15069, 596, 2760, 917, 13718, 6546, 779, 1018, 594, 1205, 593, 1250, 30263, 476, 6872, 267, 855, 593, 1250, 476, 1321, 322, 2776, 560, 15607, 630, 663, 593, 519, 5767, 1773, 11294, 4548, 267, 594, 1095, 2541, 1070, 7440, 593, 519, 4159, 3112, 581, 32419, 1310, 606, 11346, 269, 4935, 267, 538, 1931, 547, 1205, 1018, 596, 1616, 519, 1739, 9696, 1058, 581, 1031, 1384, 273, 1496, 266, 316, 476, 273, 1496, 18414, 343, 316, 1496, 284, 316, 9847, 476, 274, 269, 29300, 22659, 6321, 273, 692, 276, 1496, 343, 316, 476, 276, 1496, 299, 301, 316, 1496, 343, 11054, 316, 1496, 284, 316, 9847, 476, 1321, 269, 4817, 272, 26493, 9032, 692, 8379, 9816, 267, 713, 568, 513, 4183, 267, 711, 513, 17079, 269, 4014, 519, 2025, 2623, 568, 15151, 811, 10375, 538, 930, 3871, 267, 594, 4782, 713, 1007, 835, 630, 528, 693, 2547, 594, 1131, 952, 594, 8359, 9338, 294, 267, 799, 594, 2760, 786, 6393, 294, 3205, 563, 6734, 268, 6734, 268, 1001, 280, 267, 476, 5881, 281, 6734, 6751, 630, 1607, 2022, 729, 2063, 9168, 281, 476, 6734, 268, 6734, 268, 1001, 280, 476, 5881, 281, 6734, 6751, 676, 717, 3205, 654, 269, 15016, 6242, 8094, 8070, 281, 1948, 1428, 454, 717, 3205, 654, 269, 15016, 6242, 18947, 16588, 24762, 281, 476, 272, 267, 9965, 11835, 1441, 281, 5463, 476, 1001, 274, 454, 3918, 281, 630, 1321, 290, 264, 6178, 636, 9577, 454, 263, 6734, 268, 6734, 268, 1001, 280, 476, 5400, 281, 1704, 7537, 264, 24171, 21890, 7825, 654, 4710, 912, 263, 6734, 268, 4905, 268, 1001, 280, 476, 6187, 281, 3066, 7537, 264, 294, 30790, 654, 4710, 912, 24927, 912, 311, 284, 271, 717, 15674, 1109, 876, 13673, 9898, 13673, 9898, 1535, 20734, 343, 21680, 692, 1607, 3085, 1405, 960, 585, 6695, 3847, 1923, 1535, 1422, 2431, 1923, 315, 19008, 16435, 656, 476, 1015, 13064, 2004, 6525, 610, 6695, 3847, 1923, 1535, 1422, 2431, 1923, 1422, 28254, 16435, 656, 476, 1015, 3867, 2004, 6525, 1813, 547, 896, 268, 610, 24492, 780, 763, 681, 14149, 1982, 538, 2022, 1948, 273, 1657, 4625, 30417, 891, 28919, 780, 294, 3205, 563, 6734, 268, 6734, 268, 1001, 280, 267, 476, 5881, 281, 5392, 6751, 454, 8070, 281, 1948, 1626, 454, 15751, 26960, 18947, 16588, 24762, 281, 476, 277, 4792, 11835, 1441, 281, 7325, 476, 1001, 279, 454, 3918, 281, 630, 1321, 290, 264, 6178, 636, 9577, 454, 263, 6734, 268, 6734, 268, 1001, 280, 476, 6860, 281, 6795, 6751, 264, 24171, 21890, 7825, 654, 4710, 281, 476, 1109, 2467, 781, 1100, 834, 15635, 1643, 1399, 257, 950, 621, 2501, 547, 24263, 2338, 563, 15987, 713, 949, 581, 1644, 621, 3085, 1405, 2491, 1018, 781, 2469, 593, 780, 307, 5281, 856, 267, 972, 568, 4986, 547, 2491, 269, 594, 1336, 513, 4831, 7721, 2217, 4429, 7069, 2022, 593, 4009, 267, 1739, 676, 4009, 268, 10174, 5180, 2389, 8692, 568, 4636, 692, 7078, 267, 593, 24605, 268, 1321, 290, 267, 1535, 815, 13100, 1341, 476, 271, 269, 6860, 815, 476, 274, 269, 8687, 30020, 4792, 275, 692, 274, 269, 8687, 30020, 4792, 275, 317, 273, 9881, 486, 476, 1015, 269, 14338, 276, 4029, 279, 1626, 271, 267, 17031, 5346, 3562, 476, 1015, 269, 14338, 276, 4029, 11025, 692, 18414, 1015, 269, 14338, 276, 4029, 11025, 9881, 486, 476, 274, 269, 8687, 30020, 4792, 275, 8287, 267, 17031, 5346, 3562, 476, 274, 269, 8687, 30020, 277, 4649, 692, 305, 26559, 540, 1535, 1315, 20734, 263, 343, 11054, 264, 815, 476, 271, 269, 15886, 15886, 15886, 278, 9881, 510, 476, 272, 454, 6734, 268, 6734, 268, 1001, 280, 267, 476, 5881, 281, 6795, 6751, 630, 1607, 2022, 729, 2063, 9168, 281, 476, 6734, 268, 6734, 268, 1001, 280, 476, 5881, 281, 6795, 6751, 676, 678, 2889, 338, 704, 328, 8094, 8070, 281, 1948, 1704, 454, 678, 2889, 338, 704, 328, 18947, 16588, 24762, 281, 476, 274, 267, 5392, 275, 11835, 1441, 281, 5463, 476, 1001, 274, 454, 3918, 281, 630, 1321, 290, 264, 6178, 636, 9577, 454, 263, 6734, 268, 6734, 268, 1001, 280, 476, 4962, 281, 7906, 6751, 264, 13312, 2678, 654, 4710, 281, 476, 1109, 296, 4898, 1018, 4523, 538, 2147, 2665, 899, 692, 273, 1496, 266, 316, 1496, 18414, 343, 316, 1496, 284, 2639, 528, 454, 276, 1496, 343, 316, 1496, 299, 301, 316, 1496, 343, 11054, 316, 1496, 284, 6540, 296, 9364, 2503, 476, 274, 267, 6078, 543, 476, 1321, 267, 4817, 855, 15069, 596, 2760, 917, 13718, 24314, 476, 1321, 9573, 281, 476, 274, 267, 6078, 1299, 476, 1321, 267, 4817, 692, 30952, 476, 1321, 9573, 281, 476, 272, 267, 6078, 1299, 476, 273, 267, 6795, 692, 296, 4312, 711, 21503, 2943, 267, 855, 717, 3205, 781, 5758, 834, 1862, 1173, 3701, 593, 519, 4159, 3112, 581, 32419, 1310, 606, 11346, 29389, 4667, 513, 13801, 5758, 540, 519, 1412, 325, 12089, 262, 610, 693, 2547, 8242, 267, 2623, 269, 9324, 3539, 556, 14025, 540, 519, 3312, 4661, 949, 723, 1044, 2556, 630, 528, 693, 2547, 4443, 264, 607, 513, 1267, 540, 4946, 519, 6167, 23077, 4183, 538, 519, 476, 273, 526, 543, 782, 2663, 3126, 540, 476, 1321, 9573, 3631, 780, 3080, 1223, 8044, 2901, 1259, 799, 568, 1412, 2431, 3299, 2094, 15821, 10035, 568, 711, 528, 13124, 24813, 267, 1498, 594, 1590, 16153, 602, 713, 568, 513, 811, 4277, 982, 3339, 3510, 780, 287, 294, 3205, 910, 540, 1576, 519, 681, 14149, 3070, 1568, 282, 789, 2811, 2141, 796, 3711, 27631, 780, 734, 7692, 18370, 704, 328, 454, 6734, 268, 6734, 268, 1001, 280, 267, 476, 1556, 281, 2767, 6751, 454, 8070, 281, 1948, 1240, 454, 7338, 21890, 7825, 18947, 16588, 24762, 281, 476, 272, 267, 275, 4366, 11835, 1441, 281, 5463, 476, 1001, 274, 454, 3918, 281, 630, 1321, 290, 264, 6178, 636, 9577, 454, 263, 6734, 268, 6734, 268, 1001, 280, 476, 5881, 281, 5392, 6751, 264, 2704, 6975, 26960, 654, 4710, 281, 476, 1109, 7078, 267, 593, 24605, 268, 1321, 290, 267, 1535, 815, 13100, 1341, 476, 271, 269, 6860, 815, 476, 274, 269, 8687, 30020, 4792, 275, 692, 2252, 649, 1175, 1413, 693, 519, 16051, 20811, 621, 5526, 602, 713, 1152, 4523, 585, 2418, 1063, 6695, 6912, 346, 1015, 348, 1422, 13627, 476, 274, 269, 14341, 2764, 2330, 543, 3230, 276, 2330, 563, 4517, 1369, 713, 8884, 621, 4523, 693, 827, 476, 1240, 269, 4391, 260, 540, 519, 2665, 563, 7617, 568, 2673, 547, 6695, 2765, 346, 276, 910, 1422, 6912, 346, 1015, 12453, 1015, 348, 1422, 13627, 476, 271, 269, 8146, 6507, 2330, 563, 24400, 513, 1297, 693, 4351, 5012, 547, 513, 4636, 1267, 538, 827, 476, 272, 540, 476, 2767, 2665, 563, 296, 1810, 1405, 1589, 602, 649, 666, 10714, 602, 780, 2080, 781, 513, 3349, 609, 930, 2418, 3230, 343, 2330, 2348, 1152, 476, 276, 9704, 1310, 519, 8918, 1448, 543, 6695, 6912, 12757, 317, 273, 6525, 607, 621, 568, 7229, 676, 519, 24605, 268, 1321, 290, 912, 24927, 912, 274, 269, 14321, 6246, 1109, 274, 269, 14321, 275, 3066, 15886, 476, 274, 269, 13932, 5780, 1109, 274, 269, 13932, 32133, 9826, 476, 274, 269, 14378, 3066, 1109, 274, 269, 14378, 29579, 15886, 476, 274, 269, 5002 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10285, 4703, 540, 2699, 13479, 616, 1875, 332, 582, 850, 269, 634, 4775, 3023, 1418, 267, 1572, 513, 15790, 690, 28016, 267, 5161, 540, 513, 796, 514, 16197, 622, 3148, 602, 3252, 607, 519, 4212, 543, 513, 959, 747, 9609, 928, 267, 610, 16879, 267, 602, 6411, 607, 519, 14203, 7789, 12386, 269, 6348, 332, 582, 850, 547, 799, 5256, 13708, 26347, 1831, 7923, 269, 634, 1875, 332, 582, 850, 5256, 13708, 26347, 630, 338, 704, 3901, 807, 264, 616, 3812, 2206, 569, 538, 519, 5256, 3023, 1418, 3073, 753, 267, 519, 521, 704, 3901, 836, 1756, 338, 704, 3901, 836, 807, 563, 16446, 2368, 2699, 13479, 616, 1271, 1426, 2371, 630, 324, 3052, 1421, 3288, 591, 267, 546, 592, 572, 264, 543, 1547, 1358, 949, 11677, 1312, 741, 7990, 543, 15074, 11294, 748, 2470, 950, 11273, 269, 7144, 337, 6053, 267, 9721, 21263, 630, 2419, 1180, 6350, 264, 568, 1031, 607, 513, 15074, 11294, 12990, 538, 30077, 902, 267, 26025, 267, 4672, 8645, 267, 543, 28933, 269, 2368, 2249, 540, 4856, 718, 2088, 543, 922, 16167, 616, 1271, 267, 2059, 609, 3662, 27712, 267, 538, 8108, 14147, 18625, 543, 10195, 269, 589, 3258, 267, 606, 993, 6973, 748, 513, 15074, 11294, 6438, 6219, 5423, 5097, 689, 717, 2350, 1791, 807, 543, 717, 601, 29899, 2249, 267, 568, 1271, 607, 513, 2528, 5420, 585, 4551, 543, 13271, 269, 0, 16240, 3211, 616, 5363, 585, 782, 1603, 5933, 267, 689, 606, 2038, 5856, 781, 1101, 2262, 547, 513, 2462, 4819, 781, 10388, 1557, 2119, 1603, 3211, 609, 707, 4819, 269, 4400, 1153, 1272, 10855, 1557, 8772, 1032, 267, 1250, 19463, 1032, 538, 1164, 1153, 1498, 621, 781, 1360, 2182, 1775, 8737, 1250, 8772, 1032, 609, 1100, 13542, 4271, 908, 1053, 610, 20650, 602, 1018, 789, 1289, 721, 269, 23512, 790, 707, 1053, 547, 1020, 513, 6612, 585, 1603, 267, 2259, 2542, 8223, 267, 543, 1628, 6863, 543, 8239, 1983, 609, 891, 1893, 6575, 3992, 4566, 269, 3733, 1101, 1554, 693, 1153, 2433, 1250, 3993, 10483, 803, 547, 1153, 593, 519, 1101, 1554, 824, 3237, 10483, 741, 1453, 607, 1134, 649, 782, 31372, 538, 4395, 540, 519, 1153, 5604, 4166, 21738, 7005, 3594, 281, 1164, 1153, 7005, 3594, 269, 2422, 713, 1804, 1592, 540, 27362, 543, 1394, 547, 1153, 1603, 12987, 547, 948, 596, 1711, 930, 1187, 4760, 1603, 3584, 585, 707, 10026, 1153, 1053, 563, 8002, 1557, 10959, 543, 3732, 562, 4912, 476, 2764, 476, 275, 628, 5037, 815, 693, 2547, 476, 276, 5220, 476, 272, 621, 568, 15673, 532, 547, 2154, 513, 11359, 1032, 540, 1164, 1153, 547, 948, 14038, 1020, 1272, 1983, 602, 616, 6225, 538, 519, 2816, 2344, 269, 18049, 3211, 616, 606, 2500, 1259, 547, 948, 3214, 2087, 741, 1603, 891, 7005, 8239, 3211, 4001, 2694, 540, 4633, 267, 18685, 267, 543, 811, 269, 3733, 1153, 1557, 476, 274, 630, 1220, 1913, 264, 513, 1153, 568, 1360, 9758, 1747, 899, 513, 11454, 1141, 649, 979, 3232, 547, 1451, 543, 1353, 547, 979, 6619, 538, 938, 1272, 649, 7281, 547, 5601, 3232, 538, 519, 1153, 585, 938, 1732, 2729, 543, 1697, 1353, 269, 1452, 1603, 4245, 543, 2238, 786, 1450, 519, 1762, 4589, 538, 707, 4928, 547, 19542, 513, 266, 1382, 543, 1603, 585, 1164, 1153, 543, 2852, 1053, 789, 666, 946, 6394, 1239, 547, 7447, 875, 1454, 22938, 13875, 7213, 12885, 538, 513, 1032, 543, 2263, 2081, 547, 4194, 519, 22938, 13875, 1966, 563, 301, 12764, 3446, 568, 1419, 519, 1101, 1153, 1032, 540, 1164, 1153, 538, 519, 4974, 2553, 267, 543, 1603, 540, 2835, 267, 9089, 267, 543, 1022, 824, 630, 514, 2474, 540, 2085, 4170, 264, 568, 6697, 547, 1032, 476, 1015, 630, 21406, 1032, 476, 1556, 538, 7187, 476, 790, 1633, 1070, 519, 8772, 1032, 540, 3102, 10774, 662, 270, 13559, 3405, 1153, 1034, 269, 3798, 1746, 543, 6169, 532, 3211, 476, 275, 628, 543, 476, 276, 628, 3446, 267, 9344, 737, 268, 1321, 524, 322, 1087, 3009, 4433, 2567, 561, 7367, 31925, 9073, 281, 27682, 519, 5220, 621, 568, 4998, 585, 1164, 1153, 1053, 267, 855, 666, 581, 1031, 1141, 3617, 1317, 621, 568, 1500, 2653, 547, 1820, 563, 18770, 823, 593, 8939, 1164, 1153, 6030, 798, 1775, 723, 547, 1491, 513, 8772, 1032, 540, 1514, 2090, 610, 666, 1775, 1376, 513, 2034, 4914, 1893, 3079, 993, 1775, 5423, 547, 1491, 2852, 7400, 2979, 267, 1603, 267, 543, 2257, 6030, 269, 11908, 1164, 1153, 1603, 1449, 630, 724, 1873, 339, 264, 1603, 10526, 630, 326, 10232, 476, 274, 267, 476, 276, 543, 476, 279, 264, 1603, 4879, 2200, 8772, 3446, 1603, 19875, 13032, 5255, 10315, 269, 19573, 566, 1032, 630, 14683, 1153, 610, 575, 539, 1164, 1153, 9845, 1152, 281, 2638, 1934, 547, 1451, 827, 519, 1269, 1911, 271, 2875, 19002, 2852, 14172, 1269, 273, 267, 1822, 1100, 1557, 14172, 1930, 547, 782, 1053, 630, 14683, 1153, 267, 2852, 610, 2937, 264, 21120, 281, 32414, 476, 1789, 267, 476, 1001, 279, 563, 303, 32631, 561, 648, 333, 15605, 3084, 1164, 1153, 1606, 760, 676, 575, 754, 698, 6352, 538, 1514, 543, 3929, 1646, 540, 1053, 538, 8772, 1032, 547, 3083, 1518, 519, 13460, 540, 8772, 1032, 1377, 13460, 540, 9757, 3296, 538, 8772, 1032, 1377, 6054, 2147, 547, 521, 760, 268, 2083, 760, 3626, 476, 275, 18178, 1286, 537, 1088, 1286, 537, 1088, 563, 8340, 948, 593, 1164, 1153, 1557, 2497, 543, 1164, 25217, 1557, 3584, 593, 713, 2985, 2689, 513, 1164, 1153, 1557, 3732, 585, 1863, 269, 12989, 568, 606, 1557, 593, 1250, 1101, 1554, 540, 1164, 1153, 689, 4550, 3594, 267, 707, 2707, 585, 1382, 4574, 267, 3594, 267, 543, 2165, 1957, 1806, 1142, 1032, 540, 1164, 1153, 1775, 2968, 811, 1930, 2247, 539, 607, 1775, 4810, 1114, 3871, 609, 1004, 1169, 1554, 269, 30180, 11034, 1260, 11392, 1164, 12773, 1863, 1603, 3211, 585, 4587, 1053, 8772, 543, 11359, 17603, 666, 2259, 1114, 6163, 540, 1603, 609, 10855, 1603, 3211, 543, 10388, 1603, 3211, 1557, 1603, 3211, 948, 1053, 2259, 16878, 1603, 693, 513, 269, 1412, 22967, 1603, 281, 1250, 4832, 16314, 262, 568, 513, 1863, 1603, 4976, 585, 476, 274, 6113, 543, 476, 275, 628, 17603, 946, 713, 4976, 547, 948, 1053, 2259, 1603, 2500, 3594, 269, 0, 23208, 543, 5339, 2796, 585, 544, 10008, 27056, 781, 25188, 4428, 324, 519, 4544, 4055, 7494, 6766, 18008, 8106, 3332, 543, 922, 6514, 540, 519, 1480, 20369, 3832, 269, 4460, 14565, 616, 5423, 676, 519, 1291, 4879, 5856, 543, 2808, 267, 20272, 345, 6085, 544, 10008, 27056, 562, 748, 929, 15530, 25366, 682, 1268, 333, 720, 632, 25188, 4428, 324, 1285, 656, 5067, 563, 14813, 1663, 10642, 1010, 3318, 4876, 267, 998, 606, 6514, 540, 1010, 960, 538, 1063, 519, 1079, 8747, 540, 25188, 4428, 324, 267, 544, 10008, 27056, 781, 1079, 1655, 4249, 269, 570, 691, 4428, 324, 267, 610, 519, 791, 739, 528, 267, 610, 519, 3834, 665, 1679, 1101, 5340, 538, 476, 14917, 275, 267, 568, 835, 540, 519, 1034, 4583, 26974, 3740, 635, 12203, 676, 544, 10008, 27056, 519, 3197, 540, 25188, 4428, 324, 267, 1714, 332, 790, 11783, 9473, 655, 2740, 543, 17049, 585, 2947, 1296, 538, 544, 10008, 27056, 781, 1554, 267, 25188, 4428, 324, 568, 513, 24337, 593, 2705, 267, 1310, 2673, 6514, 540, 519, 1404, 267, 1775, 1336, 602, 519, 1404, 3085, 1405, 2731, 563, 5591, 1362, 530, 476, 272, 270, 2641, 267, 544, 10008, 699, 281, 25188, 4428, 324, 267, 6411, 1775, 268, 4512, 1353, 3391, 544, 10008, 699, 281, 25188, 4428, 324, 1557, 1813, 544, 476, 273, 270, 273, 267, 795, 6756, 18191, 659, 4302, 530, 476, 273, 270, 1839, 267, 4571, 3410, 981, 535, 476, 273, 270, 2767, 267, 519, 2413, 1547, 1323, 1367, 543, 13354, 6514, 540, 519, 6198, 2609, 1175, 607, 544, 10008, 27056, 5036, 519, 26037, 540, 25188, 4428, 324, 543, 610, 12455, 1996, 519, 1920, 267, 530, 344, 7815, 2917, 269, 10749, 543, 9880, 593, 544, 10008, 699, 781, 25188, 4428, 324, 910, 2565, 3594, 2565, 6268, 519, 1915, 540, 25188, 4428, 324, 538, 544, 10008, 27056, 781, 22344, 1404, 25188, 4428, 324, 568, 519, 6305, 269, 631, 10008, 699, 281, 513, 1353, 538, 19433, 630, 331, 5064, 267, 476, 3192, 278, 264, 713, 3568, 930, 4779, 648, 781, 7440, 585, 25188, 4428, 324, 607, 513, 13371, 1915, 267, 1498, 789, 616, 3262, 1851, 519, 563, 10214, 950, 1775, 729, 513, 4195, 2006, 18008, 2101, 538, 2852, 267, 789, 6026, 544, 10008, 699, 781, 968, 25188, 4428, 324, 892, 607, 513, 2484, 576, 827, 3909, 3834, 4531, 19192, 11652, 8197, 267, 602, 568, 563, 297, 6756, 19071, 626, 324, 1093, 638, 601, 514, 544, 10008, 27056, 630, 14341, 273, 268, 15757, 274, 264, 942, 25188, 4428, 324, 13290, 547, 6822, 340, 576, 610, 12455, 781, 7385, 267, 1714, 332, 790, 267, 543, 4991, 610, 12455, 547, 1129, 936, 547, 1864, 782, 540, 1010, 3959, 519, 1404, 27592, 547, 1582, 7721, 8727, 543, 30925, 540, 519, 9409, 538, 519, 1582, 804, 2946, 14397, 607, 269, 570, 691, 4428, 324, 267, 676, 544, 10008, 27056, 9859, 676, 556, 573, 1196, 601, 2006, 630, 1220, 273, 269, 634, 3638, 6965, 540, 544, 10008, 699, 543, 519, 6946, 6752, 540, 519, 18008, 536, 28123, 12251, 616, 25188, 4428, 324, 568, 5340, 538, 519, 1524, 560, 4202, 3109, 4216, 14364, 538, 519, 3675, 534, 563, 274, 2395, 3516, 6801, 540, 19636, 2504, 540, 544, 10008, 27056, 781, 25188, 4428, 324, 1616, 547, 1491, 519, 1397, 547, 1612, 529, 25188, 4428, 324, 281, 519, 1412, 320, 10347, 267, 13035, 6514, 540, 6917, 10072, 269, 667, 1090, 4405, 613, 30479, 688, 1872, 1633, 267, 543, 2818, 540, 519, 5641, 543, 3860, 2319, 3391, 721, 998, 519, 968, 325, 944, 880, 1145, 543, 1165, 569, 892, 540, 544, 10008, 27056, 781, 25188, 4428, 324, 269, 5192, 1863, 6780, 948, 593, 544, 10008, 699, 781, 25188, 4428, 324, 281, 1404, 5758, 267, 6429, 5758, 543, 2079, 543, 3312, 1257, 267, 10530, 267, 3594, 267, 543, 1915, 2079, 21806, 540, 1547, 3718, 281, 610, 12455, 689, 682, 25188, 4428, 324, 267, 3771, 335, 6782, 689, 561, 262, 822, 732, 267, 543, 818, 1146, 689, 682, 4731, 1228, 540, 713, 5098, 568, 547, 1459, 606, 6514, 540, 519, 5230, 18971, 538, 544, 10008, 27056, 781, 563, 3849, 2194, 539, 1360, 29101, 689, 544, 10008, 699, 781, 1404, 267, 543, 344, 795, 2158, 814, 2944, 606, 1256, 811, 10690, 8144, 713, 1007, 4528, 4249, 693, 519, 7005, 16222, 269, 631, 10008, 699, 781, 15234, 339, 691, 4428, 324, 5257, 568, 513, 1650, 827, 513, 812, 945, 8813, 10352, 547, 3765, 31419, 740, 2610, 519, 10565, 960, 547, 12260, 713, 3992, 596, 1590, 581, 513, 1353, 1260, 4759, 6185, 5877, 0, 763, 5061, 5941, 2630, 1331, 1875, 3122, 18042, 4550, 13611, 5061, 630, 301, 6347, 31312, 1070, 2489, 543, 2199, 606, 652, 12060, 267, 4550, 1551, 20263, 923, 630, 600, 1675, 541, 821, 267, 1496, 274, 1532, 6674, 619, 267, 7513, 8756, 21087, 1235, 267, 543, 798, 343, 1794, 28009, 1070, 543, 11216, 269, 11524, 1331, 28335, 267, 676, 16495, 540, 741, 7777, 665, 20294, 1355, 3601, 630, 8117, 849, 829, 643, 6018, 27470, 540, 519, 11528, 543, 18337, 12091, 2723, 525, 267, 543, 1250, 22889, 27394, 15727, 1813, 547, 11379, 22930, 267, 4553, 676, 1065, 541, 894, 27470, 264, 543, 1623, 1790, 987, 558, 574, 7497, 267, 676, 16495, 540, 606, 2333, 538, 1310, 2903, 630, 7094, 30950, 710, 543, 11337, 27019, 31152, 1312, 957, 998, 713, 7271, 543, 949, 16578, 8325, 2604, 4679, 693, 1164, 13066, 1916, 15239, 3122, 18042, 4550, 13611, 5061, 630, 301, 6347, 31312, 994, 301, 6347, 31312, 16578, 610, 22652, 2295, 5821, 676, 5009, 5714, 12802, 269, 4256, 2101, 7271, 540, 2962, 568, 22629, 540, 14382, 698, 1633, 514, 10282, 267, 3842, 22629, 540, 7814, 334, 2135, 4723, 848, 269, 634, 1482, 7271, 6589, 585, 715, 6347, 2839, 13779, 538, 519, 2360, 540, 1019, 675, 9455, 543, 2587, 3999, 839, 514, 8410, 31844, 11747, 630, 19781, 264, 20127, 269, 769, 2635, 5396, 267, 14382, 698, 1633, 1231, 1404, 513, 6281, 1909, 538, 17669, 27921, 267, 543, 798, 711, 2356, 723, 1713, 2360, 593, 17669, 8280, 19392, 269, 769, 2295, 5821, 267, 593, 519, 824, 1688, 267, 789, 1404, 513, 2101, 1909, 538, 9025, 543, 17669, 27921, 281, 789, 2014, 21729, 617, 559, 520, 566, 540, 519, 3413, 5166, 12091, 1470 ]

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

[ 581, 2944, 267, 855, 649, 666, 1205, 972, 563, 295, 3951, 281, 6970, 1081, 568, 2141, 513, 1434, 3635, 454, 14187, 2816, 593, 519, 851, 540, 918, 20482, 6807, 18763, 3427, 10588, 8111, 23734, 550, 4460, 18539, 560, 547, 6494, 856, 513, 4484, 547, 3237, 28409, 873, 547, 581, 21713, 950, 621, 2501, 547, 519, 11452, 563, 4407, 519, 1981, 568, 1970, 267, 18539, 560, 779, 2856, 729, 547, 2995, 519, 3237, 602, 519, 1153, 8664, 729, 1134, 3222, 540, 519, 3510, 543, 729, 9363, 5483, 540, 519, 7929, 4576, 602, 814, 10645, 519, 2729, 540, 811, 982, 476, 272, 267, 1822, 1004, 538, 3624, 563, 2005, 779, 513, 1434, 1847, 676, 519, 1153, 8664, 267, 543, 835, 602, 649, 5660, 563, 300, 3041, 306, 281, 12049, 518, 6506, 7921, 568, 519, 1007, 1306, 5155, 454, 2171, 2731, 2648, 7147, 13600, 569, 12139, 267, 543, 649, 782, 1118, 9073, 855, 6693, 2171, 16425, 838, 527, 856, 938, 4837, 540, 932, 30972, 333, 599, 950, 649, 1224, 602, 968, 293, 1042, 518, 6506, 7921, 568, 519, 1007, 1306, 5155, 892, 538, 713, 3923, 779, 7160, 540, 519, 12139, 563, 308, 327, 267, 12049, 518, 6506, 7921, 568, 3579, 267, 855, 1577, 779, 711, 4819, 6000, 269, 898, 568, 711, 1306, 5155, 563, 2026, 5155, 568, 1306, 5155, 2443, 621, 814, 6777, 543, 519, 2473, 294, 1868, 269, 898, 814, 3638, 1004, 593, 606, 3486, 4336, 563, 1103, 782, 3978, 1145, 267, 519, 1650, 568, 606, 4277, 9661, 827, 519, 2179, 540, 2724, 3001, 883, 519, 10830, 13474, 267, 543, 875, 621, 568, 4657, 519, 3148, 269, 1284, 616, 5693, 7487, 602, 1934, 538, 918, 20482, 6807, 267, 1141, 2208, 568, 2469, 547, 581, 519, 3143, 269, 476, 272, 1888, 540, 6643, 563, 4913, 267, 621, 779, 513, 512, 611, 16349, 547, 1289, 12049, 518, 6506, 7921, 4376, 824, 982, 621, 568, 2443, 513, 1507, 28928, 4884, 609, 513, 2603, 540, 1761, 563, 300, 3041, 306, 281, 681, 5661, 595, 12522, 6095, 2996, 1175, 1079, 6801, 454, 5194, 7147, 13600, 569, 2446, 540, 918, 20482, 6807, 2934, 2199, 13962, 681, 5661, 595, 12522, 267, 799, 4607, 1079, 6801, 269, 1548, 779, 9642, 568, 602, 621, 729, 513, 7168, 8799, 2689, 585, 519, 5576, 516, 10719, 9335, 552, 831, 344, 563, 28317, 9269, 543, 7573, 17339, 729, 1642, 880, 543, 1175, 1018, 519, 4387, 10288, 2223, 519, 20822, 2689, 518, 5206, 1354, 4758, 519, 13962, 1079, 6801, 2443, 799, 568, 1869, 2808, 1434, 563, 2252, 519, 4387, 10288, 621, 267, 543, 596, 8949, 569, 10150, 621, 267, 3085, 1406, 602, 1611, 811, 982, 1079, 6801, 286, 595, 685, 3000, 267, 7147, 13600, 569, 269, 0, 1103, 1931, 547, 13209, 14817, 334, 14978, 26217, 267, 7426, 949, 946, 513, 1973, 1449, 1572, 13672, 1922, 564, 29952, 267, 610, 589, 17025, 267, 543, 835, 610, 811, 9196, 4255, 269, 2755, 606, 11506, 589, 17025, 1377, 666, 581, 606, 13525, 540, 2860, 267, 1082, 1004, 609, 14817, 334, 14978, 26217, 723, 3339, 589, 17025, 2157, 269, 1280, 713, 2601, 267, 7426, 945, 14353, 14817, 334, 14978, 26217, 798, 711, 7048, 593, 589, 17025, 4805, 563, 3412, 1645, 4255, 602, 949, 581, 1031, 547, 13209, 14817, 334, 14978, 26217, 1331, 912, 268, 8299, 14647, 281, 8299, 14647, 3096, 1164, 23151, 3280, 6329, 547, 1711, 2592, 540, 4835, 8219, 269, 901, 568, 1419, 519, 1101, 9196, 1449, 2944, 950, 14817, 334, 14978, 26217, 568, 16143, 563, 268, 11632, 11571, 281, 6156, 539, 29821, 267, 610, 11632, 267, 18767, 946, 513, 4999, 540, 2027, 1535, 17530, 543, 2780, 2029, 547, 1711, 2592, 540, 4835, 8219, 269, 589, 2027, 20004, 1572, 513, 4334, 5420, 949, 581, 22280, 610, 15179, 539, 547, 1118, 4835, 3889, 2408, 811, 5693, 563, 268, 18909, 281, 25080, 16982, 9196, 267, 610, 18909, 267, 3096, 5925, 6329, 543, 22197, 547, 1711, 2592, 540, 4835, 8219, 563, 268, 4911, 25086, 281, 769, 2587, 25086, 267, 4334, 1570, 568, 22280, 883, 513, 1804, 16050, 538, 519, 9240, 514, 269, 2473, 11920, 5961, 616, 1287, 3144, 547, 6218, 519, 27555, 1973, 3761, 547, 519, 6797, 269, 769, 2550, 609, 14817, 334, 14978, 26217, 267, 9241, 4646, 9402, 1507, 1973, 8043, 602, 3049, 519, 10510, 666, 581, 2938, 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 ]

[ 543, 15279, 30368, 538, 519, 804, 1144, 267, 543, 1293, 873, 563, 307, 2532, 3214, 609, 713, 7792, 12805, 5546, 3635, 602, 814, 2147, 5546, 593, 2901, 2427, 269, 634, 6335, 568, 602, 519, 4778, 540, 5546, 4268, 269, 8866, 991, 547, 1118, 513, 835, 3562, 14633, 19359, 1063, 519, 5546, 563, 28403, 1944, 5381, 25609, 454, 22209, 823, 707, 12284, 609, 713, 9301, 5546, 4976, 7824, 585, 9656, 3214, 267, 4758, 1142, 835, 540, 873, 513, 2601, 547, 3458, 600, 834, 296, 1336, 621, 256, 2580, 607, 789, 1413, 585, 519, 9138, 3337, 538, 519, 3681, 543, 2681, 621, 563, 32575, 543, 715, 5446, 476, 273, 291, 25609, 454, 1805, 597, 1719, 538, 3214, 609, 938, 7114, 543, 20803, 476, 273, 291, 5546, 1688, 8083, 10023, 513, 2647, 2039, 540, 5751, 5473, 2596, 476, 273, 8820, 6366, 5546, 267, 9076, 559, 831, 1023, 543, 29977, 563, 273, 291, 25609, 538, 7464, 21509, 454, 12648, 3214, 593, 513, 3337, 1760, 926, 1472, 519, 1153, 267, 1246, 909, 609, 713, 1305, 540, 1983, 5473, 1483, 3734, 476, 273, 291, 5515, 267, 513, 2241, 2275, 992, 323, 5418, 6471, 602, 2337, 3214, 1451, 547, 4766, 519, 5546, 538, 741, 1604, 563, 306, 1938, 543, 12397, 619, 540, 476, 273, 291, 25609, 454, 763, 5011, 543, 15174, 540, 476, 273, 291, 5546, 3211, 616, 2614, 547, 5337, 924, 707, 4819, 781, 6612, 585, 1565, 543, 1205, 873, 31235, 609, 519, 10305, 540, 519, 2596, 5546, 563, 4467, 19397, 543, 1546, 1260, 19397, 476, 273, 291, 25609, 454, 1432, 1223, 25041, 713, 16801, 540, 21882, 543, 10920, 19397, 7077, 5546, 5751, 286, 6787, 621, 568, 15652, 532, 513, 476, 273, 291, 3337, 610, 9256, 476, 273, 291, 5546, 547, 4020, 513, 12432, 3337, 267, 891, 7824, 338, 723, 873, 782, 563, 21008, 532, 476, 273, 291, 543, 476, 274, 291, 25609, 454, 10000, 707, 3014, 609, 938, 7792, 9236, 476, 273, 291, 543, 476, 274, 291, 5546, 1688, 8083, 267, 543, 1451, 547, 10646, 267, 543, 19665, 5546, 269, 5192, 3214, 547, 2697, 476, 273, 291, 5515, 607, 519, 8188, 540, 476, 274, 291, 5546, 563, 289, 22877, 513, 16588, 454, 15648, 9736, 476, 1708, 274, 910, 4569, 6096, 476, 275, 8866, 454, 300, 20047, 723, 12600, 6703, 547, 4647, 606, 1367, 4976, 267, 610, 606, 3003, 1377, 563, 4537, 16747, 8018, 18014, 1107, 5131, 28826, 454, 4537, 16747, 616, 606, 7533, 851, 540, 2038, 1565, 269, 589, 5546, 4976, 9251, 568, 513, 1390, 1259, 547, 6338, 1762, 6267, 547, 513, 3099, 540, 5546, 267, 24917, 741, 5386, 5179, 1983, 267, 543, 3986, 741, 3337, 6284, 5759, 269, 1452, 1863, 7792, 5546, 3211, 616, 4481, 2966, 585, 9251, 543, 9656, 1053, 269, 2913, 779, 2263, 891, 8748, 2200, 585, 4928, 946, 610, 1753, 946, 269, 1452, 9251, 3211, 616, 5078, 585, 1762, 6267, 543, 909, 269, 8281, 519, 1863, 5546, 4976, 9251, 7300, 693, 519, 5377, 540, 713, 2022, 610, 4647, 1142, 540, 519, 9251, 3337, 3211, 2429, 519, 2022, 563, 303, 4319, 3876, 11314, 9664, 454, 290, 22511, 4976, 9251, 563, 1607, 4976, 568, 782, 827, 10580, 256, 898, 2934, 1614, 2502, 6810, 912, 268, 29895, 543, 2681, 538, 519, 5858, 609, 513, 1376, 12297, 281, 589, 9735, 1259, 547, 1020, 5386, 5179, 1983, 543, 1688, 31378, 11558, 269, 634, 4358, 1448, 568, 6825, 609, 513, 12297, 543, 606, 15561, 563, 268, 7822, 538, 519, 2953, 3337, 281, 901, 3296, 2488, 513, 7801, 2985, 609, 1114, 5546, 267, 543, 1762, 3214, 723, 547, 2697, 543, 2681, 538, 519, 5858, 269, 898, 779, 606, 1271, 5748, 585, 23243, 1063, 1585, 5546, 563, 268, 8571, 519, 5858, 281, 3371, 267, 9251, 1053, 786, 723, 606, 4316, 547, 21613, 519, 5858, 3337, 267, 2901, 1739, 5546, 13890, 609, 12297, 1540, 3515, 610, 5373, 1863, 8518, 563, 16665, 281, 1280, 1346, 3168, 585, 811, 1187, 2081, 547, 6451, 5546, 267, 2638, 856, 713, 5373, 2831, 1210, 5546, 1863, 25258, 4586, 291, 32052, 26183, 4696, 22400, 17676, 595, 7644, 290, 4041, 20796, 16775, 4047, 4953, 11123, 11553, 2464, 29558, 5357, 28313, 454, 3721, 1635, 5153, 17781, 10960, 18768, 454, 306, 13645, 4976, 9251, 563, 306, 13645, 568, 1776, 4909, 3337, 269, 901, 4976, 786, 3382, 912, 268, 29895, 543, 2681, 538, 519, 4009, 609, 513, 1376, 12297, 281, 4279, 585, 8026, 2786, 3515, 543, 8901, 4656, 563, 268, 7822, 538, 519, 2953, 3337, 281, 901, 786, 1449, 3337, 6284, 543, 5386, 5179, 1983, 607, 1453, 1413, 585, 519, 4009, 1851, 824, 12166, 5546, 563, 268, 8571, 519, 4009, 281, 1323, 3635, 538, 18187, 908, 513, 3337, 609, 3160, 5011, 563, 16665, 281, 667, 633, 4514, 883, 519, 1158, 540, 5546, 609, 713, 3337, 12805, 2534, 4586, 291, 32052, 26183, 4696, 22400, 17676, 590, 12702, 22664, 20796, 16775, 4047, 4953, 11123, 11553, 2464, 29558, 5357, 28313, 454, 3721, 1635, 5153, 12384, 12292, 2480, 1170, 528, 11314, 454, 302, 1998, 4976, 9251, 563, 4131, 779, 711, 7340, 519, 24814, 256, 901, 1863, 4976, 3091, 912, 268, 29895, 543, 2681, 538, 519, 24814, 609, 513, 1376, 12297, 281, 589, 1187, 1259, 547, 6338, 713, 1079, 8820, 3337, 563, 268, 7822, 538, 519, 2953, 3337, 281, 7402, 2227, 2471, 9251, 1453, 547, 4584, 856, 519, 24814, 1851, 1114, 7306, 540, 5546, 563, 268, 8571, 519, 24814, 281, 12694, 1762, 6267, 547, 21613, 519, 28608, 5858, 3337, 563, 291, 32052, 26183, 4696, 22400, 17676, 744, 309, 3201, 20796, 16775, 4047, 4953, 11123, 11553, 2464, 29558, 5357, 28313, 454, 3918, 6311, 20315, 4041, 20796, 16775, 4047, 4953, 11553, 2464, 29558, 5357, 454, 763, 13551, 267, 609, 922, 1079, 1279, 543, 1079, 2110, 5011, 267, 12857, 1453, 547, 1007, 5546, 543, 2035, 912, 268, 29895, 543, 2681, 538, 519, 13551, 609, 513, 1376, 12297, 281, 589, 1505, 547, 24559, 9251, 1053, 609, 5546, 540, 1114, 2450, 543, 17114, 563, 268, 7822, 538, 519, 2953, 3337, 281, 29452, 1453, 5431, 519, 13551, 9624, 2147, 5546, 563, 268, 8571, 519, 13551, 281, 30216, 3063, 2259, 538, 10063, 1424, 513, 1455, 3337, 563, 31738, 281, 1280, 1346, 16462, 811, 5546, 5751, 267, 1934, 779, 513, 535, 8172, 3515, 543, 5546, 1863, 29560, 547, 2638, 856, 563, 291, 32052, 26183, 4696, 22400, 17676, 681, 17614, 20315, 4041, 20796, 16775, 4047, 4953, 11123, 11553, 2464, 29558, 5357, 28313, 454, 2237, 667, 3925, 7433, 12814, 13317, 16707, 4518, 1504, 18014, 19405, 454, 31590, 4120, 4976, 9251, 563, 31590, 9201, 267, 609, 741, 1614, 2786, 3515, 543, 8325, 2798, 267, 616, 1776, 3078, 3337, 585, 1762, 8186, 912, 268, 29895, 543, 2681, 538, 519, 6906, 609, 513, 1376, 12297, 281, 901, 3296, 568, 782, 827, 3478, 547, 917, 519, 6906, 779, 3982, 1106, 563, 268, 7822, 538, 519, 2953, 3337, 281, 1635, 7114, 12730, 1851, 513, 3099, 540, 5546, 267, 1053, 24917, 741, 2565, 3206, 543, 1966, 9010, 1983, 563, 268, 8571, 519, 6906, 281, 14190, 338, 1453, 547, 2769, 741, 1620, 540, 519, 3337, 676, 5373, 621, 563, 291, 32052, 26183, 4696, 22400, 17676, 570, 6020, 20315, 4041, 20796, 16775, 4047, 4953, 28313, 454, 289, 517, 639, 281, 2422, 12297, 12508, 547, 1665, 519, 5546, 952, 519, 1053, 798, 711, 1616, 547, 2681, 873, 538, 563, 28885, 891, 9251, 5546, 3211, 883, 3992, 4566, 610, 607, 3606, 2238, 693, 1753, 666, 1683, 1898, 13654, 1702, 585, 1762, 3214, 269, 1358, 616, 1863, 267, 2653, 547, 946, 267, 543, 2966, 609, 9251, 543, 9656, 3214, 538, 2247, 269, 1924, 267, 952, 596, 2461, 10478, 585, 513, 3102, 1259, 547, 6338, 707, 1126, 547, 519, 1158, 540, 5546, 267, 596, 2461, 538, 519, 1318, 1747, 2336, 8855, 267, 1620, 5546, 3884, 1406, 1175, 827, 9511, 282, 621, 779, 606, 7127, 547, 1483, 1272, 267, 7493, 2035, 267, 543, 1256, 2296, 1893, 6575, 269, 2060, 891, 1863, 7792, 3211, 267, 3337, 6284, 3587, 1454, 1187, 543, 606, 2502, 1565, 1995, 269, 8414, 3450, 2336, 291, 32052, 26183, 4696, 5990, 19766, 4041, 15288, 15562, 4338, 2464, 20796, 16775, 4047, 4953, 11553, 2464, 29558, 5357, 7300, 28313, 454, 11767, 707, 4757, 2630, 547, 4647, 519, 3003, 17142, 607, 835, 7300, 610, 4647, 835, 2985, 693, 513, 942, 1657, 269, 1411, 786, 581, 593, 519, 2659, 10657, 11905, 544, 9430, 1592, 1310, 596, 4283, 707, 4757, 563, 7312, 10657, 11905, 454, 10387, 841, 281, 1496, 16942, 6870, 316, 25439, 281, 630, 8517, 264, 476, 2004, 278, 268, 275, 4817, 279, 674, 1314, 281, 630, 276, 1240, 264, 476, 28143, 268, 271, 3066, 271, 454, 268, 18014, 631, 9298, 25143, 548, 454, 268, 590, 697, 9293, 631, 9298, 25143, 548, 454, 268, 22843, 25143, 548, 454, 268, 32274, 25143, 548, 454, 268, 25609, 25143, 548, 454, 268, 594, 1975, 344, 25143, 548, 454, 268, 1684, 5025, 5937, 582, 25143, 548, 454, 268, 27413, 25143, 548, 454, 268, 631, 10248, 25143, 548, 454, 268, 25478, 25143, 548, 454, 268, 6478, 654, 8712, 25143, 548, 454, 268, 1627, 6874, 760, 27006, 25143, 548, 454, 268, 5678, 8551, 454, 268, 4317, 5525, 454, 268, 853, 269, 18536, 781, 4303, 454, 268, 27223, 781, 4303, 454, 268, 590, 697, 9293, 454, 268, 14594, 23779, 454, 268, 7089, 23779, 454, 268, 23694, 23779, 454, 268, 28743, 8274, 6452, 757, 454, 268, 28743, 8274, 645, 7451, 454, 268, 28743, 8274, 16707, 454, 268, 28743, 8274, 7433, 454, 268, 28743, 8274, 30498, 454, 268, 28743, 8274, 19554, 454, 268, 5403, 619, 1299, 932, 11301, 454, 268, 932, 1779, 4580, 5440, 11825, 454, 268, 5565, 4149, 3660, 5463, 32590, 454, 268, 32001, 1849, 902, 454, 268, 25080, 6452, 757, 454, 268, 25080, 645, 7451, 454, 268, 25080, 16707, 454, 268, 25080, 6997, 1564, 1299, 8745, 16193, 454, 268, 25080, 30498, 454, 268, 28743, 8274, 14313, 454, 268, 19554, 645, 1231, 267, 13340, 525, 1299, 2859, 454, 268, 17348, 623, 20449, 454, 268, 7732, 623, 20449, 454, 268, 11242, 267, 21998, 1299, 631, 1846, 454, 268, 18044, 21998, 454, 268, 623, 12714, 932, 11301, 454, 268, 15873, 7433, 1299, 853, 1343, 454, 268, 12409, 5403, 619, 454, 268, 22912, 919, 1299, 24547, 5557, 454, 268, 769, 1417, 633, 1299, 25166, 731, 932, 11301, 454, 268, 853, 10102, 1299, 853, 2086, 623, 6758, 454, 268, 6519, 4580, 4675, 15533, 454, 268, 932, 1779, 4580, 4675, 15533, 454, 268, 8065, 10426, 525, 454, 268, 8745, 1773, 919, 454, 268, 5753, 781, 7734, 454, 268, 4643, 1299, 16680, 7734, 454, 268, 12754, 1299, 11314, 7734, 454, 268, 14716, 7433, 454, 268, 14958, 7433, 454, 268, 14301, 7433, 454, 268, 2051, 1819, 6755, 15078, 454, 268, 14958, 853, 6506, 454, 268, 3794, 826, 1299, 1520, 1127, 1161, 454, 268, 654, 24513, 548, 28438, 454, 268, 6452, 340, 29493, 12603, 28981, 454, 268, 11875, 2581, 12603, 28981, 454, 268, 590, 11170, 1460, 12603, 28981, 454, 268, 12603, 28981, 26682, 454, 268, 667, 625, 1299, 12603, 30498, 454, 268, 853, 6621, 30498, 454, 268, 667, 965, 1299, 22110, 13088, 454, 268, 21290, 10049, 454, 268, 24484, 5696, 16640, 454, 268, 4455, 976, 1299, 3911, 4169, 454, 268, 5403, 268, 2005, 1299, 25529, 344, 11872, 454, 268, 1849, 2354, 1299, 16258, 22211, 454, 268, 853, 320, 680, 619, 1299, 853, 320, 1255, 454, 268, 570, 1901, 1299, 2598, 335, 839, 619, 454, 268, 681, 592, 619, 1299, 25732, 454, 268, 645, 785, 619, 1299, 7457, 1559, 454, 268, 30325, 5029, 9088, 1299, 7457, 1559, 454, 268, 674, 4979, 1299, 674, 1245, 619, 454, 268, 6997, 1564, 1299, 6997, 9934, 454, 268, 2398, 5793, 7433, 454, 268, 674, 14525, 7433, 454, 268, 12039, 21998, 454, 268, 6755, 15078, 1299, 7457, 1559, 454, 268, 4856, 14431, 29079, 1299, 570, 1901, 454, 268, 23239, 754, 7591, 30498, 454, 268, 23239, 754, 5253, 454, 268, 11846, 7457, 1559, 454, 268, 11846, 30498, 454, 268, 570, 878, 344, 3380, 1299, 681, 728, 14114, 985, 454, 268, 28743, 4425, 1841, 454, 268, 16959, 8210, 848, 4425, 1841, 454, 268, 22843, 681, 13903, 454, 268, 2961, 7065, 8293, 4100, 1299, 19449, 3380, 454, 268, 17781, 5384, 1299, 1530, 908, 681, 13903, 454, 268, 4303, 3249, 681, 13903, 454, 268, 18014, 681, 13903, 454, 268, 8447, 4065, 454, 268, 7066, 526, 9373, 1440, 2478, 454, 268, 2961, 335, 1115, 585, 8866, 454, 268, 23663, 517, 667, 749, 6242, 454, 268, 11819, 23095, 8249, 454, 268, 11300, 9752, 4964, 454, 268, 31780, 14539, 454, 268, 20717, 2961, 335, 1115, 454, 268, 4804, 8249, 454, 268, 12891, 2917, 8605, 687, 454, 268 ]

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

[ 0, 26199, 2012, 281, 17578, 32256, 10636, 4451, 12848, 590, 1173, 563, 8448, 4408, 281, 2296, 281, 12920, 6674, 282, 5375, 12920, 6674, 454, 10481, 4919, 5169, 281, 4639, 11076, 540, 3345, 3013, 454, 306, 777, 6229, 281, 21066, 627, 7867, 982, 2295, 6229, 563, 29587, 6229, 281, 1769, 6960, 563, 293, 9200, 281, 2786, 543, 10355, 530, 8283, 563, 294, 1778, 281, 5420, 2450, 547, 11315, 563, 23322, 2065, 12889, 281, 1507, 18512, 25418, 563, 295, 4772, 15790, 18782, 543, 8470, 532, 267, 9703, 543, 10859, 7721, 10262, 281, 9885, 267, 9486, 267, 5867, 267, 2003, 324, 8240, 267, 27724, 563, 306, 777, 6229, 281, 5420, 4390, 540, 1373, 791, 27389, 730, 563, 29587, 6229, 281, 1970, 4390, 540, 1373, 791, 27389, 730, 563, 306, 1177, 532, 1184, 281, 2653, 609, 1100, 7965, 563, 291, 11538, 1184, 281, 3500, 855, 2653, 547, 4163, 856, 267, 18015, 543, 22775, 725, 616, 711, 7928, 563, 5522, 22135, 1184, 281, 1100, 7965, 563, 294, 1663, 532, 1184, 281, 1100, 7965, 563, 301, 9430, 543, 3458, 9405, 1184, 281, 1100, 7965, 563, 19226, 880, 281, 1100, 7965, 563, 7343, 1861, 5860, 693, 476, 1321, 260, 11195, 476, 21878, 4846, 8276, 274, 1769, 3574, 563, 268, 5292, 636, 13011, 19432, 11664, 476, 271, 269, 6078, 4939, 7123, 3574, 563, 268, 4039, 566, 1063, 27373, 476, 272, 269, 4037, 260, 1100, 12402, 547, 22775, 640, 563, 26773, 1145, 630, 2419, 531, 5451, 529, 5336, 324, 644, 517, 264, 476, 272, 267, 275, 2571, 6229, 563, 4910, 2700, 547, 11979, 4827, 542, 476, 278, 3199, 4846, 30763, 273, 563, 14976, 2880, 640, 9074, 476, 10482, 267, 1822, 4846, 30763, 273, 563, 4910, 2700, 547, 13496, 476, 14596, 4846, 30763, 273, 563, 2005, 666, 723, 18300, 11435, 0, 288, 12092, 568, 3152, 982, 3274, 3044, 19178, 3823, 513, 1268, 779, 1272, 269, 898, 779, 513, 2143, 2272, 540, 513, 1268, 779, 1272, 2833, 269, 589, 6915, 666, 581, 8246, 547, 1224, 811, 827, 513, 1268, 543, 849, 2744, 5813, 883, 741, 2250, 269, 589, 1979, 19212, 786, 6157, 2491, 875, 606, 1367, 16539, 741, 6689, 267, 18295, 1296, 267, 543, 849, 15296, 267, 2059, 609, 519, 18517, 543, 849, 3111, 902, 602, 8032, 873, 269, 16480, 267, 513, 12092, 666, 711, 581, 11658, 547, 3044, 18408, 563, 288, 12092, 814, 547, 798, 609, 513, 1268, 779, 1272, 607, 1134, 607, 568, 711, 513, 960, 540, 5708, 269, 898, 568, 7363, 2813, 689, 513, 3791, 1268, 1448, 540, 2070, 267, 2943, 621, 666, 581, 2813, 689, 513, 1101, 16512, 5133, 607, 1134, 269, 898, 779, 10123, 1271, 547, 1331, 1344, 593, 519, 1268, 779, 1920, 2818, 607, 1134, 607, 2069, 267, 538, 1840, 547, 1141, 789, 941, 2840, 339, 1117, 269, 4014, 513, 1979, 19212, 3884, 1406, 513, 18673, 267, 646, 610, 1352, 1058, 723, 519, 2702, 547, 4983, 519, 1915, 779, 3527, 563, 288, 12092, 666, 581, 2854, 538, 1022, 2186, 540, 2511, 543, 849, 666, 581, 513, 8313, 267, 513, 7260, 267, 610, 513, 22565, 269, 2368, 19777, 616, 849, 2854, 538, 519, 1101, 16512, 267, 607, 1134, 607, 513, 6915, 666, 581, 513, 17728, 540, 513, 1268, 269, 589, 1979, 19212, 786, 2263, 519, 1888, 779, 1272, 2949, 543, 849, 2328, 606, 2272, 540, 741, 2729, 269, 1403, 606, 2278, 814, 606, 26249, 267, 789, 666, 798, 865, 849, 269, 589, 27367, 3209, 267, 585, 3236, 267, 666, 581, 513, 12092, 563, 288, 1979, 19212, 1590, 581, 3222, 540, 519, 11029, 2906, 540, 519, 7121, 269, 901, 9135, 568, 1114, 689, 513, 3209, 2094, 513, 6915, 6212, 593, 519, 1272, 540, 513, 1888, 269, 634, 1979, 19212, 779, 10700, 6662, 568, 547, 30712, 519, 1641, 779, 1158, 543, 1599, 538, 602, 1158, 269, 1323, 2500, 6915, 11129, 547, 4431, 547, 519, 8471, 28780, 540, 922, 1641, 269, 898, 1058, 1719, 1224, 269, 898, 2115, 547, 581, 1759, 593, 519, 1367, 779, 4282, 269, 1280, 3236, 267, 513, 27367, 3209, 786, 6157, 581, 513, 3102, 2272, 540, 606, 1367, 779, 1272, 563, 2691, 621, 25701, 547, 513, 12092, 267, 621, 1590, 581, 1759, 2390, 519, 1888, 779, 1272, 269, 898, 1058, 581, 2854, 538, 519, 3355, 1367, 269, 898, 1058, 581, 4977, 543, 1850, 1043, 269, 634, 2278, 779, 2012, 1590, 711, 581, 607, 8282, 547, 519, 1641, 269, 634, 6915, 1590, 711, 581, 513, 17728, 540, 519, 5856, 779, 1272, 269, 898, 1058, 581, 513, 12092, 540, 519, 1888, 779, 1272, 269, 589, 1390, 12092, 1590, 2874, 540, 5013, 7282, 519, 1268, 779, 1686, 269, 634, 27367, 8313, 2115, 547, 849, 2874, 540, 519, 2278, 779, 1686, 267, 519, 6915, 779, 1967, 267, 607, 1134, 607, 519, 1367, 779, 1272, 563, 288, 6915, 1590, 581, 24669, 543, 849, 1134, 27787, 269, 634, 2278, 1058, 723, 519, 2702, 547, 7866, 519, 1888, 779, 1915, 269, 634, 6915, 1590, 581, 2854, 538, 519, 1360, 1101, 1268, 269, 634, 2278, 2115, 547, 581, 2111, 547, 1118, 519, 13588, 2731, 1745, 635, 325, 344, 609, 519, 1641, 269, 634, 5856, 2115, 547, 581, 2111, 547, 4766, 519, 1641, 779, 9342, 607, 1134, 607, 4617, 2798, 269, 16480, 267, 646, 2115, 547, 581, 2111, 547, 1118, 519, 5467, 1745, 607, 952, 1352, 610, 646, 14509, 1010, 1378, 1272, 563, 763, 2165, 968, 321, 1470, 892, 5267, 513, 12092, 540, 513, 1268, 779, 1272, 269, 898, 2501, 689, 519, 5824, 2262, 267, 3113, 807, 267, 799, 1797, 1272, 269, 769, 513, 6915, 267, 519, 2278, 568, 7234, 519, 5856, 779, 2833, 269, 1280, 1383, 267, 519, 5856, 779, 2833, 616, 3838, 609, 519, 21233, 269, 634, 6915, 568, 606, 2272, 540, 519, 5856, 779, 2833, 269, 898, 1058, 11338, 1331, 513, 6609, 540, 519, 5856, 779, 7209, 269, 1403, 519, 2278, 568, 513, 4775, 267, 1200, 17728, 1590, 581, 2854, 538, 519, 1360, 1101, 1367, 563, 288, 6915, 568, 513, 1875, 325, 12302, 2272, 540, 2576, 779, 1272, 269, 898, 1590, 1217, 519, 5467, 602, 519, 1268, 779, 1272, 729, 5030, 676, 835, 811, 1367, 269, 634, 2278, 11129, 547, 581, 3551, 3823, 519, 1344, 540, 519, 1272, 540, 519, 1641, 269, 1403, 519, 5856, 568, 513, 4807, 267, 1352, 1058, 581, 5168, 995, 269, 2701, 1058, 711, 2995, 1200, 9661, 547, 519, 3077, 2344, 267, 855, 3079, 267, 1352, 1590, 2285, 519, 3877, 827, 9887, 269, 634, 1979, 19212, 1590, 711, 1118, 16912, 6877, 827, 1200, 7209, 563, 288, 6915, 568, 606, 2272, 540, 513, 1268, 779, 1272, 269, 898, 6941, 513, 1268, 779, 4282, 538, 513, 6626, 2796, 982, 519, 1641, 779, 1272, 269, 589, 1979, 19212, 568, 606, 2278, 602, 814, 2965, 5030, 513, 1272, 267, 855, 814, 4957, 602, 269, 2701, 1058, 849, 723, 513, 2312, 1620, 540, 519, 1367, 779, 2250, 267, 607, 621, 568, 2629, 547, 1174, 1200, 1272, 269, 2701, 11129, 547, 5431, 1919, 602, 616, 1360, 1271, 547, 1864, 269, 1403, 646, 779, 711, 267, 1310, 602, 1352, 12582, 1406, 2328, 519, 12092, 563, 288, 6915, 666, 581, 513, 6648, 610, 513, 4670, 269, 634, 2278, 11129, 547, 581, 3551, 827, 519, 1367, 779, 1272, 269, 634, 1433, 2115, 547, 10123, 581, 513, 973, 777, 540, 1010, 1967, 269, 634, 2278, 1590, 1331, 1010, 610, 1200, 18454, 269, 589, 1979, 19212, 1590, 581, 25442, 538, 1010, 610, 1200, 960, 269, 589, 27367, 2272, 2115, 547, 581, 4570, 543, 3169, 269, 1703, 616, 1100, 3877, 602, 1522, 581, 25619, 269, 589, 12092, 2115, 547, 2760, 581, 11830, 5367, 269, 898, 1590, 581, 513, 5758, 540, 519, 1268, 779, 1272, 267, 607, 621, 568, 519, 1888, 540, 519, 1650, 563, 288, 6915, 568, 513, 3102, 2272, 540, 513, 1268, 779, 1272, 269, 898, 2488, 606, 1620, 1318, 883, 519, 1272, 540, 606, 1367, 676, 10223, 519, 14026, 602, 723, 2965, 8032, 1010, 610, 1200, 1272, 269, 634, 6915, 568, 811, 982, 606, 2653, 2594, 540, 14026, 269, 898, 5161, 540, 519, 1367, 779, 2833, 2059, 609, 519, 4909, 19178, 540, 1010, 610, 1200, 1272, 269, 1703, 616, 513, 1297, 540, 2010, 540, 22808, 269, 589, 1979, 19212, 786, 723, 519, 2702, 547, 3132, 513, 27367, 2272, 540, 1022, 2186, 540, 1268, 563, 763, 10700, 6662, 540, 513, 1979, 19212, 568, 547, 30712, 519, 1888, 779, 1272, 543, 849, 12172, 1010, 610, 1200, 1599, 538, 2528, 269, 589, 12092, 568, 1114, 689, 513, 5708, 1813, 547, 519, 1249, 602, 621, 568, 1759, 2390, 519, 1272, 540, 606, 1367, 269, 898, 568, 513, 1875, 27395, 2272, 540, 519, 1367, 779, 1272, 269, 11048, 267, 930, 7260, 13915, 8263, 602, 513, 6915, 568, 22290, 12638, 269, 634, 1249, 568, 602, 22808, 616, 513, 7121, 540, 1875, 27395, 12326, 563, 2467, 616, 6266, 540, 2010, 540, 22808, 269, 2368, 616, 2854, 538, 26567, 1931, 543, 849, 1866, 616, 6896, 676, 2629, 2093, 543, 849, 6163, 269, 769, 513, 1979, 19212, 779, 12092, 267, 519, 13588, 568, 2356, 2111, 547, 3605, 519, 1367, 779, 1272, 543, 849, 1175, 875, 621, 12936, 1010, 610, 1200, 1272, 269, 898, 568, 513, 6325, 1505, 585, 23478, 2796, 547, 606, 1367, 779, 1272, 269, 901, 4480, 568, 1419, 513, 2603, 811, 3532, 982, 21882, 513, 1650, 269, 634, 21233, 666, 1995, 519, 1272, 540, 606, 1367, 998, 741, 19777, 269, 25873, 1472, 713, 3135, 454, 24552, 12092, 729, 1101, 1031, 538, 476, 4510, 645, 5861, 269, 676, 5259, 607, 1134, 607, 12266, 15023, 269, 898, 568, 519, 2413, 1106, 540, 8978, 15923, 269, 634, 2165, 1979, 19212, 814, 2965, 27636, 609, 942, 269, 2368, 12206, 723, 2965, 1572, 1979, 20802, 968, 10043, 11155, 13807, 698, 3511, 1235, 2223, 543, 849, 513, 7008, 540, 616, 1134, 8153, 1979, 20802, 269, 901, 2511, 568, 4867, 513, 2603, 811, 11342, 538, 7262, 5339, 1568, 269, 898, 11338, 814, 8129, 538, 519, 2025, 5681, 518, 1014, 19416, 16500, 31521, 327, 269, 589, 5259, 14787, 267, 1773, 583, 1105, 267, 5206, 606, 11141, 10747, 519, 2729, 540, 3879, 686, 748, 12325, 269, 0, 288, 6915, 568, 513, 3102, 6609, 540, 513, 1268, 779, 1272, 269, 898, 814, 811, 982, 3044, 5013, 267, 855, 849, 3877, 540, 519, 1268, 779, 1367, 2833, 540, 1978, 2621, 269, 6787, 519, 1367, 729, 513, 2442, 2797, 6205, 610, 3274, 513, 2834, 1367, 267, 513, 12092, 27875, 513, 2603, 827, 2043, 945, 4646, 741, 2729, 269, 15439, 2322, 267, 513, 12092, 568, 513, 1360, 3407, 2707, 269, 634, 20170, 547, 616, 513, 1906, 8320, 540, 4241, 19777, 563, 763, 14046, 12092, 568, 519, 1034, 2148, 622, 2186, 540, 6915, 269, 9521, 513, 2442, 2272, 267, 14046, 22808, 616, 8499, 11567, 269, 634, 2959, 616, 7396, 538, 12190, 13132, 607, 1134, 607, 4967, 269, 634, 1641, 779, 1272, 568, 7363, 3964, 12225, 10999, 269, 634, 6575, 540, 3903, 616, 4749, 1500, 946, 540, 547, 3132, 513, 811, 538, 3829, 6915, 269, 9182, 267, 4081, 22808, 616, 3622, 10053, 543, 849, 723, 8766, 19259, 3544, 519, 1158, 540, 3318, 1382, 269, 11048, 267, 621, 568, 606, 11108, 4781, 585, 513, 6915, 563, 24552, 6915, 729, 1101, 1500, 946, 540, 547, 2697, 1114, 5686, 540, 12092, 1603, 269, 634, 476, 1704, 628, 2540, 729, 513, 942, 540, 17634, 607, 1134, 607, 7041, 269, 634, 1977, 10125, 3323, 10451, 3262, 27367, 4305, 267, 855, 713, 729, 711, 513, 1279, 3856, 4806, 269, 634, 476, 866, 628, 2540, 4718, 519, 2333, 540, 2413, 6915, 267, 2943, 713, 1007, 2511, 729, 711, 607, 9565, 607, 621, 568, 2221, 269, 634, 7121, 729, 1869, 538, 922, 2038, 3942, 269, 901, 729, 519, 5736, 540, 519, 4332, 540, 519, 4950, 267, 799, 19117, 519, 1603, 540, 27367, 1568, 563, 288, 6915, 666, 581, 606, 705, 27554, 8390, 540, 606, 4540, 2816, 540, 5339, 1568, 267, 610, 621, 666, 581, 513, 2239, 540, 606, 1367, 779, 1272, 269, 634, 7121, 540, 519, 12092, 9775, 14320, 269, 2368, 5686, 616, 5941, 2713, 1004, 282, 1866, 616, 4988, 21549, 2043, 269, 17859, 267, 519, 6915, 568, 513, 2123, 2272, 540, 519, 5856, 779, 2833, 269, 4706, 1967, 5673, 2390, 519, 2278, 779, 5578, 538, 2870, 543, 1382, 269, 744, 1111, 550, 1307, 267, 513, 1979, 19212, 786, 30712, 741, 1888, 779, 1158, 267, 607, 1134, 607, 2491, 1010, 17017, 1599, 538, 519, 2486, 563, 1103, 1840, 547, 27367, 1568, 267, 972, 616, 1585, 824, 12204, 540, 27367, 12326, 269, 634, 3355, 568, 519, 27367, 960, 540, 513, 1268, 269, 898, 568, 513, 960 ]

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

[ 8815, 593, 1945, 602, 2640, 1312, 540, 596, 543, 8952, 707, 11505, 2178, 780, 1103, 519, 1482, 1259, 267, 519, 1004, 945, 9896, 519, 15521, 540, 12411, 320, 14792, 16219, 547, 1521, 1142, 824, 23182, 267, 1175, 899, 875, 596, 543, 707, 3659, 4956, 547, 2671, 519, 11442, 1286, 269, 1809, 3006, 1256, 950, 4079, 1118, 14767, 267, 1919, 1810, 1405, 2141, 979, 607, 9709, 269, 2368, 1004, 1522, 7340, 610, 3442, 711, 547, 1246, 519, 3652, 1305, 676, 519, 14097, 269, 1879, 713, 4523, 267, 7526, 949, 8451, 2899, 811, 269, 1677, 2057, 971, 3871, 267, 2792, 543, 1620, 616, 2629, 910, 1454, 899, 6158, 543, 6947, 547, 707, 3659, 1354, 14045, 1018, 3014, 547, 1404, 1985, 2439, 4131, 781, 1589, 1394, 547, 938, 1383, 269, 5994, 952, 596, 13264, 707, 9153, 547, 2671, 519, 11442, 1286, 282, 5310, 707, 3659, 9327, 1405, 1616, 547, 1404, 609, 596, 15042, 269, 6684, 267, 930, 2477, 5433, 602, 1866, 4769, 1405, 6529, 547, 519, 11650, 9788, 856, 538, 519, 15521, 540, 12411, 320, 14792, 269, 1452, 4606, 3366, 547, 10413, 267, 10845, 267, 543, 5555, 267, 1776, 5458, 4655, 1634, 607, 2622, 2782, 4083, 780, 3719, 9939, 1176, 267, 2221, 649, 2661, 538, 4708, 267, 1565, 3407, 4245, 689, 1686, 269, 1284, 1174, 519, 2956, 540, 5329, 938, 14767, 543, 8156, 835, 1776, 24963, 269, 1924, 3314, 267, 2436, 621, 781, 4687, 9162, 610, 18245, 1866, 262, 2924, 267, 1169, 2962, 12523, 2509, 2870, 513, 12560, 1604, 1141, 3025, 7959, 6126, 267, 5150, 267, 543, 12595, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 13775, 4873, 476, 272, 267, 476, 1001, 276, 454, 763, 18321, 24234, 17072, 568, 513, 10859, 268, 2335, 783, 10554, 799, 6770, 1927, 513, 2824, 1895, 540, 476, 736, 25422, 15197, 20859, 609, 476, 274, 268, 276, 13747, 5640, 593, 2127, 540, 4984, 267, 6214, 1299, 1857, 1272, 563, 28317, 16241, 15863, 547, 16241, 20222, 7536, 21026, 16047, 267, 8419, 454, 305, 629, 6798, 7083, 22189, 590, 2931, 267, 519, 769, 613, 321, 3073, 543, 594, 571, 681, 3317, 1068, 6820, 31692, 1639, 7905, 540, 7225, 24191, 23539, 693, 1715, 3840, 2160, 543, 519, 918, 637, 1088, 543, 661, 874, 7806, 7731, 2160, 7905, 540, 6014, 23539, 693, 8786, 327, 10216, 2160, 454, 300, 2975, 11190, 5085, 595, 15375, 2752, 2316, 292, 281, 4270, 267, 621, 779, 513, 8748, 8956, 543, 513, 1390, 17979, 267, 543, 596, 782, 723, 1185, 519, 4316, 547, 1413, 693, 15887, 6798, 590, 2931, 779, 1007, 1433, 269, 1656, 649, 4076, 1044, 3843, 547, 723, 15887, 6798, 590, 2931, 1934, 585, 1896, 1296, 1631, 267, 543, 649, 941, 6368, 2111, 547, 960, 856, 938, 16131, 269, 1261, 568, 513, 812, 538, 1390, 3747, 267, 607, 596, 666, 4952, 267, 1472, 519, 1158, 267, 855, 649, 2461, 4278, 2683, 602, 646, 814, 1336, 942, 547, 581, 609, 721, 693, 519, 18321, 24234, 17072, 563, 305, 629, 6798, 590, 2931, 814, 476, 1626, 8956, 776, 5232, 269, 11788, 10579, 25414, 2349, 1515, 1572, 18222, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 307, 805, 344, 540, 12411, 320, 14792, 543, 2991, 4118, 257, 607, 851, 540, 834, 19615, 1315, 12668, 1299, 4762, 26555, 1315, 2622, 2782, 594, 2580, 6098, 693, 476, 276, 4458, 6040, 1453, 609, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650, 1058, 946, 2241, 2474, 267, 543, 8499, 2491, 1360, 2596, 1344, 827, 2168, 543, 1480, 4205, 269, 2422, 2653, 3562, 17000, 1806, 543, 6451, 2055, 513, 476, 276, 4458, 6040, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269, 0, 28982, 972, 256, 5620, 596, 2479, 9289, 1946, 1004, 3006, 1118, 1114, 5079, 950, 621, 2501, 547, 1373, 2186, 610, 4023, 286, 2107, 875, 649, 1451, 547, 2995, 1318, 689, 4636, 286, 1452, 2055, 723, 19832, 16895, 585, 1082, 1296, 267, 3056, 873, 547, 1353, 5837, 1646, 1107, 602, 781, 875, 938, 2631, 540, 1318, 543, 4636, 9428, 543, 2242, 936, 942, 256, 2913, 781, 2263, 713, 4277, 1888, 1927, 780, 5331, 596, 1265, 513, 1269, 1015, 3915, 14084, 593, 519, 2666, 693, 1153, 269, 1548, 1131, 596, 798, 286, 14348, 596, 1832, 621, 585, 3054, 267, 610, 1413, 1472, 585, 922, 8227, 286, 2659, 3375, 1522, 4096, 593, 1896, 1919, 899, 707, 2085, 267, 2828, 267, 1920, 2418, 267, 543, 1256, 1018, 596, 1589, 1866, 1131, 798, 269, 1306, 1453, 1332, 909, 267, 789, 1020, 26069, 1759, 593, 891, 2188, 543, 811, 269, 1924, 1577, 781, 1294, 875, 713, 4241, 1184, 1568, 2439, 2467, 616, 1614, 1292, 5933, 540, 5837, 1646, 4330, 676, 18039, 918, 2129, 331, 6199, 267, 513, 4583, 18673, 945, 6594, 875, 3214, 543, 4079, 1174, 1318, 543, 4636, 269, 1284, 786, 1445, 593, 1079, 2038, 5933, 2094, 1346, 4019, 1732, 547, 1647, 30595, 899, 596, 269, 9462, 502, 488, 692, 1262, 25111, 476, 272, 910, 5136, 17171, 543, 15722, 7321, 630, 21848, 476, 275, 268, 1015, 264, 12533, 4263, 713, 3942, 267, 1453, 1246, 3652, 1317, 789, 4250, 10751, 610, 1616, 12587, 269, 1280, 1383, 267, 952, 596, 1810, 1405, 2973, 707, 4055, 267, 596, 949, 6336, 3381, 3014, 22864, 282, 865, 267, 596, 22619, 344, 909, 3533, 256, 5651, 1275, 568, 2938, 607, 6207, 543, 17946, 4474, 269, 1411, 3494, 602, 1978, 3527, 616, 1175, 10750, 1412, 342, 3994, 3299, 1100, 2339, 519, 3510, 780, 1262, 25111, 476, 273, 910, 10572, 1143, 543, 16510, 630, 21848, 476, 280, 268, 1626, 264, 12533, 1103, 713, 2034, 3942, 267, 3214, 1376, 3206, 827, 1018, 781, 4023, 543, 15490, 269, 1358, 8275, 602, 4543, 1866, 1223, 1291, 547, 23483, 2640, 267, 2495, 789, 2503, 1945, 538, 2132, 269, 5994, 4687, 707, 12899, 609, 513, 3659, 945, 29709, 741, 338, 2221, 282, 6148, 14182, 789, 786, 2671, 609, 596, 950, 596, 7340, 16523, 256, 2311, 713, 1448, 267, 2043, 2253, 6236, 2789, 5380, 1354, 1818, 3664, 780, 3086, 602, 649, 917, 827, 891, 5933, 267, 3314, 602, 3025, 22264, 998, 873, 8335, 269, 2368, 1004, 949, 3251, 3476, 693, 835, 3942, 982, 1866, 267, 1247, 930, 18178, 5933, 7357, 256, 4746, 267, 7680, 1585, 4529, 543, 5054, 7506, 938, 2208, 1932, 269, 1635, 1620, 5837, 1646, 267, 649, 1831, 811, 3222, 540, 6000, 543, 28450, 2509, 1866, 780, 3383, 1985, 942, 596, 3068, 513, 14196, 267, 1491, 513, 4090, 547, 2015, 1018, 3942, 540, 5837, 1646, 596, 616, 1210, 547, 6430, 269, 3657, 596, 1739, 3652, 856, 540, 4250, 610, 8007, 286, 2107, 616, 596, 14719, 908, 14619, 543, 1367, 2115, 286, 5901, 3695, 543, 1565, 267, 543, 2972, 12423, 519, 5863, 1158, 540, 6530, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 1655, 6530, 18544, 3292, 1683, 20021, 609, 513, 3984, 540, 3255, 547, 4434, 741, 11678, 543, 7118, 513, 2362, 14057, 269, 932, 1734, 616, 1434, 267, 952, 596, 2461, 3257, 606, 5769, 3406, 585, 519, 1655, 6530, 4487, 779, 3292, 267, 596, 4076, 5462, 707, 2104, 4876, 610, 616, 16462, 547, 4434, 707, 4876, 2619, 269, 11109, 513, 9457, 540, 8551, 610, 9457, 540, 3163, 538, 10017, 666, 2990, 596, 585, 513, 3099, 540, 5140, 11678, 2687, 547, 519, 1977, 16723, 5948, 779, 19396, 6651, 269, 898, 779, 849, 606, 5140, 5748, 585, 513, 12854, 563, 16032, 2657, 26440, 4181, 814, 22646, 1153, 7270, 543, 5697, 930, 540, 519, 1655, 6530, 4110, 3292, 547, 948, 538, 707, 10927, 1982, 3406, 269, 901, 20823, 568, 27772, 547, 2285, 596, 513, 2489, 2856, 540, 1982, 6030, 267, 16075, 4170, 267, 1942, 267, 3092, 269, 585, 10790, 610, 9049, 3292, 543, 2059, 609, 3606, 1153, 6402, 269, 18734, 543, 3486, 1053, 616, 7608, 676, 1034, 3506, 267, 2705, 519, 11673, 1934, 1152, 2689, 519, 16075, 4170, 585, 772, 2529, 269, 3632, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 300, 7394, 4886, 257, 607, 851, 540, 834, 25787, 1315, 25833, 1315, 17151, 525, 3966, 4886, 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, 634, 7613, 540, 14382, 3191, 568, 1950, 543, 15491, 267, 5473, 1585, 1514, 267, 2804, 267, 543, 2797, 2188, 269, 2290, 2565, 2460, 540, 713, 3390, 568, 4008, 543, 1379, 6384, 269, 1677, 1174, 713, 1523, 4628, 267, 621, 781, 1898, 547, 4983, 875, 6848, 6788, 543, 8155, 1472, 4008, 3565, 547, 519, 10419, 6672, 540, 14382, 3191, 543, 3310, 519, 3892, 540, 1379, 1369, 3023, 960, 3347, 780, 2414, 2253, 267, 1577, 781, 2015, 519, 2081, 538, 799, 4008, 5107, 3337, 519, 3747, 585, 5010, 3023, 269, 25214, 267, 2367, 723, 1044, 811, 2693, 982, 2021, 547, 6718, 4638, 2533, 267, 10452, 6626, 2686, 8456, 827, 5256, 1303, 1856, 618, 547, 3023, 543, 4775, 7449, 969, 1466, 269, 1452, 8456, 666, 581, 14360, 1394, 547, 30013, 3889, 602, 9886, 2367, 3152, 1514, 543, 2804, 1379, 982, 2021, 269, 1306, 513, 1267, 267, 2367, 1419, 2070, 2021, 607, 3615, 547, 581, 11751, 543, 4421, 267, 7700, 547, 519, 12796, 2305, 540, 4775, 4703, 538, 519, 3023, 4123, 780, 11101, 267, 28963, 1063, 4008, 543, 824, 3029, 540, 8635, 267, 971, 607, 5198, 267, 1362, 267, 543, 22874, 267, 2417, 635, 12393, 1379, 6384, 1369, 14382, 3191, 269, 1280, 1383, 267, 1382, 5267, 602, 2021, 540, 2681, 543, 1346, 689, 2539, 14227, 10080, 616, 25409, 6719, 538, 519, 3023, 2872, 267, 6849, 3606, 7496, 547, 14827, 1813, 547, 3908, 7694, 3255, 543, 11528, 7130, 269, 6684, 267, 27540, 4600, 949, 581, 3226, 7925, 547, 14226, 676, 533, 31663, 543, 911, 742, 1157, 619, 945, 1491, 5413, 540, 741, 3348, 13895, 3656, 4567, 543, 3668, 540, 1569, 547, 2200, 780, 763, 2078, 1063, 4008, 543, 1379, 849, 5546, 519, 2833, 540, 2043, 7722, 538, 3023, 960, 269, 2755, 930, 1004, 949, 3442, 547, 4283, 519, 3924, 32380, 267, 1082, 1866, 798, 865, 856, 540, 13766, 267, 9141, 676, 6710, 267, 26683, 267, 610, 3668, 540, 4244, 4747, 2959, 269, 17859, 540, 8404, 267, 2705, 267, 782, 3023, 4600, 3068, 16663, 543, 30886, 267, 12615, 908, 4540, 1379, 20817, 543, 12145, 741, 2702, 547, 3343, 1489, 610, 4027, 269, 5015, 267, 7803, 1436, 540, 3023, 960, 538, 1082, 22875, 3762, 4600, 693, 1981, 540, 10654, 267, 5208, 267, 543, 6057, 267, 17923, 9979, 540, 15746, 543, 13438, 780, 1103, 5466, 4008, 543, 1379, 6384, 1369, 14382, 3191, 267, 1896, 4485, 723, 7153, 269, 2368, 12167, 585, 1232, 17964, 1944, 3023, 960, 267, 19163, 602, 3257, 865, 1131, 2569, 2800, 543, 2333, 3106, 585, 4600, 676, 3850, 873, 547, 7500, 16155, 543, 1569, 2556, 2200, 269, 11524, 8044, 585, 20552, 626, 4507, 6322, 693, 16701, 21899, 519, 3023, 4123, 7357, 267, 13156, 621, 607, 20244, 7518, 5511, 543, 632, 16058, 1944, 269, 12846, 267, 1866, 3895, 2800, 5786, 2994, 5059, 593, 3246, 1072, 1416, 267, 13508, 267, 543, 824, 11215, 2533, 547, 3023, 4600, 1510, 10385, 610, 5837, 2065, 10054, 780, 27407, 267, 1022, 1935, 547, 5466, 4008, 543, 1379, 6384, 1369, 14382, 3191, 1590, 5431, 519, 6988, 540, 519, 3390, 543, 4099, 519, 9739, 543, 2833, 540, 1346, 1034, 4299, 269, 1635, 2502, 538, 5571, 5188, 543, 9691, 6313, 938, 1378, 12886, 543, 10054, 267, 649, 666, 2253, 547, 1628, 513, 811, 12581, 2486, 1141, 782, 2043, 723, 519, 4316, 547, 2661, 1863, 689, 14226, 543, 15746, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 9767, 978, 9259, 540, 4647, 543, 2575, 267, 476, 274, 267, 476, 10602, 268, 3199, 269, 1761, 7662, 540, 7662, 540, 2534, 540, 513, 7260, 575, 2273, 548, 540, 8004, 23897, 1343, 269, 18293, 281, 6739, 3557, 11780, 7232, 5677, 2160, 267, 476, 27768, 32726, 9448, 2596, 28743, 540, 1382, 18715, 269, 6114, 543, 2833, 585, 1818, 540, 5098, 543, 9086, 540, 519, 1433, 1505, 269, 607, 267, 4647, 3947, 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 ]

[ 899, 1282, 513, 7088, 538, 519, 1647, 540, 519, 5836, 269, 1284, 3357, 883, 519, 1362, 547, 1265, 16996, 799, 649, 1185, 547, 1205, 593, 543, 649, 1223, 5873, 18555, 2287, 19711, 538, 519, 4282, 269, 1284, 2877, 547, 4737, 938, 16996, 547, 9101, 689, 519, 897, 1601, 531, 12354, 22455, 609, 30437, 4064, 2336, 1103, 938, 11300, 15099, 267, 649, 4312, 3323, 938, 1007, 2257, 1888, 269, 1284, 5645, 856, 606, 7634, 609, 11442, 6517, 547, 1294, 799, 2326, 1131, 948, 519, 6517, 979, 9663, 1492, 560, 950, 789, 941, 1577, 1524, 513, 19856, 269, 1284, 10150, 7446, 519, 1114, 2326, 547, 8495, 609, 543, 7893, 547, 1294, 875, 2484, 519, 6517, 4682, 563, 28606, 17067, 538, 519, 3018, 267, 649, 4682, 547, 519, 5399, 547, 3643, 11427, 7338, 269, 1284, 1224, 543, 3838, 513, 1433, 609, 1312, 1200, 543, 1866, 538, 519, 1362, 269, 1284, 17329, 938, 6640, 1317, 649, 1589, 519, 5399, 568, 1187, 543, 2027, 269, 3767, 602, 649, 2811, 538, 6206, 8609, 476, 273, 267, 930, 540, 721, 3323, 547, 1413, 693, 519, 3476, 543, 8273, 2835, 563, 2171, 2811, 3168, 4464, 547, 1985, 3018, 2907, 2336, 347, 16829, 676, 281, 634, 11334, 1475, 517, 281, 476, 6021, 270, 6021, 270, 1001, 277, 2008, 1607, 3018, 649, 4797, 547, 1451, 827, 634, 2961, 333, 2526, 540, 519, 12292, 2575, 676, 6682, 4068, 15223, 839, 4149, 5593, 267, 855, 713, 942, 267, 649, 10272, 634, 853, 600, 5112, 4270, 663, 9142, 547, 1404, 7405, 269, 11109, 14478, 513, 2773, 676, 606, 32316, 519, 3105, 3018, 267, 649, 3773, 938, 1378, 4992, 267, 3206, 827, 519, 3432, 267, 12334, 543, 11733, 540, 938, 1445, 3662, 563, 12812, 593, 713, 3095, 952, 596, 1131, 899, 547, 2972, 938, 1445, 2575, 563, 347, 16829, 676, 281, 634, 11334, 1475, 517, 281, 476, 1428, 270, 5881, 270, 1001, 277, 2008, 2414, 2253, 938, 3803, 1888, 540, 519, 1032, 267, 2961, 333, 2526, 540, 519, 12292, 267, 6206, 8609, 2290, 10272, 519, 31920, 13812, 5244, 538, 5213, 322, 2120, 269, 2311, 519, 4098, 540, 519, 1554, 267, 519, 4365, 1705, 2370, 547, 22321, 519, 2831, 547, 4734, 741, 24181, 267, 855, 607, 519, 1554, 27636, 267, 519, 3141, 3357, 856, 543, 2059, 609, 621, 267, 782, 519, 2831, 269, 898, 729, 513, 8748, 1995, 547, 1294, 971, 513, 2039, 540, 2831, 689, 1472, 519, 1158, 538, 971, 2673, 16133, 543, 519, 1453, 2322, 741, 2706, 2542, 1983, 547, 519, 1449, 543, 1336, 856, 6266, 540, 5013, 689, 519, 1344, 12545, 1472, 519, 6288, 563, 347, 16829, 676, 281, 634, 11334, 1475, 517, 281, 476, 1839, 270, 6187, 270, 1001, 277, 2008, 1607, 3018, 267, 649, 723, 2219, 827, 1018, 1223, 723, 5949, 1310, 654, 4883, 773, 7308, 6261, 5622, 5795, 519, 10348, 513, 14512, 10516, 269, 1284, 16545, 602, 538, 3210, 267, 519, 10348, 2366, 606, 27592, 547, 835, 540, 1200, 4677, 6105, 693, 21207, 532, 5069, 20066, 543, 1287, 649, 5206, 2984, 827, 519, 9035, 602, 3576, 1747, 269, 28522, 2280, 3893, 4503, 15029, 3168, 585, 519, 16003, 543, 8694, 909, 9361, 593, 519, 17599, 256, 654, 4883, 773, 7308, 6261, 5622, 12628, 513, 9932, 26889, 543, 519, 10348, 2893, 593, 621, 269, 28522, 2280, 3893, 5645, 2476, 950, 513, 31830, 540, 2842, 9575, 3180, 540, 519, 17891, 646, 729, 8066, 543, 729, 11324, 4240, 676, 519, 10348, 781, 22651, 269, 1924, 1082, 8748, 9035, 563, 347, 16829, 676, 281, 634, 11334, 1475, 517, 281, 476, 1839, 270, 6187, 270, 1001, 277, 2008, 1607, 3018, 649, 8678, 538, 609, 519, 3084, 16873, 543, 1185, 938, 1378, 12784, 7401, 5428, 547, 8661, 519, 4745, 476, 3445, 628, 4332, 17058, 540, 654, 4883, 773, 7308, 6261, 334, 2129, 543, 10348, 10906, 4083, 563, 6524, 649, 1223, 2253, 938, 5428, 267, 649, 1185, 6266, 540, 9932, 543, 29475, 543, 8645, 10381, 32409, 547, 1118, 563, 5475, 12899, 267, 519, 1187, 3459, 563, 2171, 10150, 3905, 267, 12765, 1229, 547, 770, 543, 1835, 2794, 1115, 630, 13731, 9372, 28120, 781, 2856, 1070, 4553, 676, 9932, 32409, 630, 310, 4883, 773, 7308, 6261, 334, 2129, 781, 2856, 264, 543, 29475, 543, 8645, 10381, 32409, 630, 6518, 649, 2219, 519, 10348, 1131, 899, 1070, 18138, 1055, 609, 521, 935, 525, 609, 25888, 543, 8645, 543, 18899, 14735, 267, 607, 1134, 607, 20909, 30103, 2367, 267, 782, 18233, 1524, 609, 513, 7484, 540, 7401, 563, 2252, 596, 1131, 899, 547, 2972, 13343, 16340, 321, 550, 2542, 938, 8141, 585, 713, 2534, 267, 654, 4883, 773, 7308, 6261, 334, 2129, 543, 519, 9576, 17510, 1485, 267, 1246, 713, 3095, 563, 347, 16829, 676, 281, 634, 11334, 1475, 517, 281, 476, 1321, 270, 6187, 270, 1001, 277, 2008, 5475, 513, 9589, 1376, 547, 938, 3018, 8384, 519, 10266, 1540, 15248, 17984, 10836, 689, 741, 9279, 9398, 267, 649, 1767, 606, 3929, 24214, 6202, 593, 11016, 12784, 950, 649, 5950, 873, 563, 19602, 267, 938, 512, 611, 335, 3421, 616, 3395, 3728, 543, 1631, 723, 1394, 7953, 2336, 290, 4040, 909, 3267, 10987, 543, 729, 1186, 2336, 347, 16829, 676, 281, 634, 11334, 1475, 517, 281, 476, 1428, 270, 4962, 270, 1001, 277, 2008, 1607, 3018, 649, 723, 1044, 4466, 856, 782, 827, 22376, 7714, 543, 25658, 269, 9894, 596, 917, 602, 519, 2220, 597, 3149, 593, 513, 2879, 841, 781, 7387, 616, 1572, 627, 528, 3149, 543, 602, 513, 1762, 2879, 841, 814, 1079, 267, 15029, 606, 2937, 2879, 841, 814, 2947, 888, 2171, 723, 10150, 10655, 25658, 543, 741, 16115, 543, 4974, 873, 811, 5702, 538, 519, 4928, 563, 1103, 2296, 267, 649, 723, 1044, 1565, 2994, 547, 22321, 1004, 547, 1224, 938, 19463, 27813, 667, 4689, 1091, 517, 1433, 563, 296, 6415, 2386, 596, 786, 3858, 267, 602, 634, 10965, 841, 543, 519, 1733, 1446, 568, 513, 1433, 596, 1175, 7948, 1405, 7654, 4413, 519, 4316, 547, 2972, 2336, 347, 16829, 676, 281, 634, 11334, 1475, 517, 281, 476, 5400, 270, 4962, 270, 1001, 277, 2008, 12441, 596, 917, 602, 521, 18150, 568, 513, 4630, 25869, 286, 1284, 2731, 2972, 4466, 1913, 602, 3280, 519, 1482, 855, 723, 1114, 10096, 538, 5729, 476, 272, 270, 273, 543, 713, 3018, 649, 1336, 856, 602, 711, 1152, 568, 513, 521, 18150, 1945, 602, 596, 1747, 593, 513, 7504, 781, 1394, 855, 568, 849, 513, 1259, 540, 7114, 606, 2937, 3618, 11988, 267, 1317, 1152, 789, 723, 835, 10126, 3677, 982, 519, 1964, 543, 621, 781, 1572, 513, 521, 18150, 256, 1284, 723, 1500, 702, 1067, 625, 865, 602, 649, 666, 7747, 3618, 19095, 538, 2962, 563, 4002, 13628, 267, 649, 4682, 547, 661, 326, 13987, 7186, 15944, 693, 31089, 1633, 4826, 1141, 649, 3773, 547, 938, 3395, 1702, 827, 1295, 32079, 6814, 998, 11432, 1019, 6137, 543, 17079, 10122, 2238, 563, 2171, 1031, 606, 8446, 5750, 547, 1265, 856, 1018, 649, 1185, 9575, 538, 519, 11432, 543, 649, 15044, 519, 12961, 649, 1336, 883, 24549, 2803, 267, 23097, 2803, 543, 9631, 16622, 2803, 563, 7212, 621, 7012, 1405, 538, 519, 1121, 527, 540, 938, 1888, 267, 621, 8604, 513, 17847, 547, 979, 547, 513, 2470, 15395, 543, 711, 7747, 782, 519, 11317, 543, 865, 649, 849, 7307, 547, 3514, 538, 513, 6177, 8384, 8400, 267, 1141, 649, 1185, 547, 1694, 2731, 23900, 538, 513, 12404, 543, 649, 4718, 513, 2039, 540, 5017, 602, 941, 849, 11981, 1373, 693, 31089, 1633, 4826, 267, 930, 540, 7247, 1185, 24964, 1454, 2417, 982, 721, 547, 1205, 972, 269, 1809, 519, 1655, 3787, 729, 1210, 1483, 10822, 22811, 338, 2336, 3383, 607, 952, 602, 7012, 1405, 2614, 585, 835, 3018, 267, 649, 3893, 1776, 2731, 1271, 2816, 2944, 269, 634, 5614, 15620, 649, 12630, 538, 5181, 616, 1631, 538, 2407, 16036, 543, 3168, 17681, 543, 865, 267, 7064, 547, 513, 2186, 21856, 267, 649, 723, 1631, 3773, 930, 28945, 2371, 547, 519, 1119, 637, 593, 938, 1273, 1470, 269, 1284, 4126, 596, 2972, 873, 607, 1454, 607, 649, 798, 563, 347, 16829, 676, 281, 634, 11334, 1475, 517, 281, 476, 6349, 270, 4962, 270, 1001, 277, 2008, 16676, 5224, 938, 1888, 827, 1295, 32079, 6814, 267, 713, 3018, 649, 723, 6743, 538, 811, 1469, 693, 14799, 18346, 269, 1284, 616, 18822, 547, 723, 930, 1318, 3544, 938, 4928, 3168, 1310, 519, 5614, 5810, 649, 723, 6738, 538, 519, 1119, 637, 543, 865, 649, 666, 1353, 873, 538, 811, 1469, 563, 2171, 723, 1336, 856, 6266, 540, 5013, 827, 14799, 18346, 267, 971, 607, 789, 616, 29068, 543, 606, 5521, 602, 814, 12209, 6870, 676, 513, 2182, 9018, 7387, 267, 855, 267, 649, 941, 28280, 547, 3605, 602, 2899, 513, 4775, 14799, 12704, 23933, 1200, 5798, 267, 1352, 10523, 269, 1215, 8909, 2336, 1103, 938, 4928, 693, 519, 4090, 649, 723, 930, 13855, 4944, 11921, 543, 512, 611, 335, 3421, 543, 930, 30746, 799, 649, 616, 11287, 3232, 547, 1294, 875, 789, 1689, 269, 9894, 596, 917, 512, 611, 335, 3421, 899, 3165, 1426, 888, 347, 16829, 676, 281, 634, 11334, 1475, 517, 281, 476, 2190, 270, 6860, 270, 1001, 277, 2008, 8702, 1394, 547, 12910, 476, 276, 269, 1284, 723, 10150, 519, 17681, 5614, 24106, 713, 3018, 607, 649, 3459, 938, 1007, 1888, 3168, 693, 1295, 32079, 6814, 563, 4263, 519, 4098, 540, 519, 3018, 267, 649, 4121, 1018, 621, 1797, 547, 581, 9800, 543, 4682, 538, 3406, 540, 1919, 602, 616, 9800, 543, 543, 1031, 547, 581, 9800, 538, 519, 1153, 12406, 256, 7982, 538, 519, 4928, 267, 649, 15044, 519, 1919, 649, 1336, 883, 2516, 267, 4946, 513, 3791, 1895, 267, 1919, 602, 723, 2760, 1044, 9800, 269, 2052, 596, 5544, 519, 3574, 331, 1787, 538, 938, 2713, 11876, 641, 888, 2171, 723, 849, 1044, 593, 1295, 32079, 770, 6968, 538, 519, 1153, 4677, 1282, 799, 649, 1336, 22404, 267, 20151, 267, 14799, 18346, 267, 17494, 267, 729, 1186, 267, 10987, 543, 3025, 729, 11212, 9599, 950, 513, 13855, 5577, 6244, 2066, 938, 10092, 2336, 347, 16829, 676, 281, 634, 11334, 1475, 517, 281, 476, 1691, 270, 6860, 270, 1001, 277, 2008, 1607, 3018, 649, 723, 1044, 1603, 606, 7778, 540, 519, 2621, 3056, 909, 547, 519, 4168, 11812, 540, 14914, 267, 799, 540, 1576, 5921, 602, 649, 1175, 1185, 547, 3732, 930, 540, 519, 5389, 2059, 519, 1259, 563, 4263, 519, 1376, 540, 519, 3018, 267, 649, 13820, 539, 3443, 31817, 609, 11993, 10433, 543, 4006, 547, 1489, 721, 538, 938, 7778, 540, 1744, 17311, 13638, 543, 30766, 563, 10190, 593, 11016, 267, 649, 25541, 3905, 3444, 536, 12584, 607, 851, 540, 938, 1565, 827, 6153, 11016, 543, 519, 13513, 540, 519, 3444, 585, 10271, 563, 4913, 267, 585, 519, 5729, 476, 272, 781, 267, 972, 729, 1776, 834, 14653, 257, 1995, 267, 607, 789, 10272, 853, 600, 5112, 9605, 13749, 267, 865, 602, 789, 1223, 1451, 827, 519, 1909, 540, 519, 3595, 3028, 543, 875, 547, 581, 2922, 538, 519, 2680, 540, 513, 3595, 563, 10214, 519, 6738, 13522, 3893, 3238, 2336, 347, 16829, 676, 281, 634, 11334, 1475, 517, 281, 476, 736, 270, 6734, 270, 1001, 277, 2008, 2171, 6743, 693, 519, 1433, 589, 2622, 540, 5253, 676, 14161, 2782, 1676, 799, 2934, 513, 8748, 3099, 540, 1426, 2675, 16747, 563, 2171, 1031, 519, 2592, 607, 6667, 547, 1711, 938, 1378, 3484, 5468, 585, 513, 2757, 9661, 540, 938, 1378, 563, 10190, 649, 5249, 1927, 547, 5352, 930, 5863, 6863, 602, 649, 1031, 547, 4766, 938, 1378, 1426, 2675, 16747, 4712, 585, 10014, 538, 938, 2984, 563, 257, 294, 541, 997, 543, 10365, 335, 709, 339, 12269, 7444, 6083, 730, 2066, 519, 4544, 6607, 267, 14593, 28663, 676, 519, 9543, 2842, 4799, 347, 16829, 676, 281, 634, 11334, 1475, 517, 281, 476, 5400, 270, 6734, 270, 1001, 277, 2008, 4002, 11728, 267, 24981, 29542, 10272, 689, 4911, 331, 1014, 4826, 547, 2911, 547, 721, 827, 1141, 938, 1216, 2501, 689, 267, 1018, 4523, 547, 621, 1354, 649, 2490, 593, 938, 7148, 543, 1946, 649, 991, 1216, 547, 7639, 269, 1284, 4121, 6266, 540, 2930, 6863, 971, 607, 13247, 543, 13111, 543, 649, 5342, 938, 1360, 1378, 7634, 547, 1265, 856, 689, 513, 2039, 540, 5439, 267, 799, 7484, 8659, 7148, 1216, 269, 1284, 1031, 938, 1565, 1995, 547, 2328, 606, 7778, 782, 827, 1216, 563, 347, 16829, 676, 281, 634, 11334, 1475, 517, 281, 476, 5400, 270, 6734, 270, 1001, 277, 2008, 2171, 723, 4797, 938 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6854, 538, 6070, 4248, 6864, 926, 4548, 676, 4648, 543, 15908, 1235, 269, 1358, 666, 581, 2938, 10977, 1472, 538, 1507, 2516, 543, 616, 711, 1710, 562, 26802, 610, 10728, 2509, 824, 3165, 2249, 563, 763, 9038, 723, 513, 13711, 1560, 609, 10538, 8711, 593, 741, 24725, 27634, 267, 1247, 519, 8951, 616, 6505, 10538, 269, 634, 32442, 540, 891, 3165, 2242, 950, 789, 7669, 1851, 824, 3165, 2249, 267, 543, 789, 666, 1256, 1689, 2681, 547, 17932, 824, 3165, 2249, 971, 607, 804, 1144, 8127, 563, 763, 10370, 4958, 841, 16262, 5362, 568, 513, 4190, 7286, 3165, 2442, 609, 14987, 543, 4810, 16983, 1832, 619, 1317, 540, 922, 7524, 4778, 543, 10694, 1560, 2497, 269, 1452, 3165, 666, 581, 1336, 538, 519, 4095, 7909, 543, 519, 7414, 7909, 267, 1141, 789, 2661, 538, 1804, 3506, 543, 3049, 593, 18186, 25762, 563, 4415, 782, 891, 3681, 2139, 693, 707, 12871, 267, 596, 991, 547, 1118, 519, 1318, 3375, 1759, 593, 824, 7382, 29982, 2139, 538, 707, 1753, 16983, 563, 5629, 4956, 267, 1577, 803, 917, 707, 3903, 538, 519, 8292, 3296, 2630, 563, 24916, 267, 952, 596, 991, 1022, 948, 538, 1818, 513, 3375, 267, 1745, 1863, 547, 3914, 856, 693, 1496, 16942, 6870, 316, 0, 30706, 3357, 2066, 513, 9160, 3774, 602, 568, 2451, 856, 538, 519, 2011, 585, 3275, 610, 1256, 1296, 286, 2334, 20868, 11491, 4327, 2781, 7757, 6821, 602, 616, 6534, 547, 1216, 543, 2011, 1419, 1376, 14700, 563, 1103, 930, 9160, 2010, 267, 519, 6871, 540, 2666, 11491, 4327, 19460, 666, 2333, 3774, 11702, 2557, 676, 14178, 519, 4259, 942, 1813, 547, 513, 3476, 942, 4259, 563, 4322, 11491, 4327, 6821, 616, 1419, 17941, 607, 9932, 18474, 543, 17478, 267, 855, 538, 4641, 267, 789, 616, 1312, 1114, 543, 616, 711, 20049, 762, 563, 268, 26006, 18474, 4016, 547, 513, 6923, 9648, 267, 15279, 21192, 2497, 1336, 538, 581, 12317, 1161, 267, 1247, 17478, 568, 519, 9668, 540, 6878, 610, 3334, 538, 513, 1570, 563, 268, 26006, 18474, 3889, 616, 17426, 543, 1683, 4222, 543, 6617, 267, 1818, 873, 4998, 585, 1585, 4702, 543, 4070, 3156, 563, 268, 21540, 12198, 538, 2326, 666, 1291, 547, 19514, 3601, 543, 4389, 2298, 267, 26089, 1697, 7829, 543, 4393, 2553, 547, 7413, 922, 12136, 563, 295, 2292, 18474, 5288, 21540, 12198, 454, 295, 2292, 18474, 568, 513, 2067, 2497, 1500, 676, 10987, 547, 4558, 9932, 543, 6318, 741, 1762, 269, 634, 15279, 21192, 3337, 540, 519, 9932, 18474, 2636, 585, 3608, 946, 540, 2230, 267, 1818, 621, 606, 2500, 1259, 585, 10987, 547, 4558, 741, 9932, 269, 21540, 12198, 4016, 547, 519, 9668, 540, 1114, 2516, 540, 1004, 267, 1759, 593, 741, 5198, 267, 14940, 267, 610, 4984, 269, 21540, 12198, 666, 2049, 538, 1585, 8658, 563, 23763, 547, 4688, 713, 2376, 585, 2663, 286, 8437, 519, 2295, 538, 519, 5377, 1318, 7944, 547, 4688, 547, 707, 1378, 4930, 4216, 2336, 295, 2292, 18474, 5250, 593, 9160, 610, 6405, 5526, 547, 581, 20097, 540, 519, 9932, 13520, 269, 634, 1292, 2014, 540, 9932, 1260, 2125, 538, 6405, 568, 3983, 21513, 543, 4057, 960, 1464, 563, 2026, 4166, 607, 519, 9505, 18146, 568, 6569, 267, 9932, 1260, 2125, 602, 616, 593, 519, 5011, 616, 3362, 7298, 547, 519, 21736, 3750, 563, 1103, 1840, 547, 17478, 267, 519, 9160, 13594, 849, 14380, 547, 519, 1283, 543, 27960, 7017, 693, 519, 5377, 540, 519, 2627, 621, 568, 4294, 547, 563, 1607, 4386, 1813, 547, 936, 8686, 12299, 543, 735, 9146, 540, 9160, 267, 538, 799, 6405, 568, 513, 3119, 25499, 269, 901, 2306, 519, 2298, 540, 519, 3774, 1360, 1970, 543, 8754, 267, 2115, 547, 581, 6378, 607, 4166, 607, 2009, 563, 347, 13640, 600, 4394, 540, 18948, 1475, 295, 2292, 18474, 1475, 306, 1122, 12198, 2008, 347, 14240, 1475, 1492, 19659, 2451, 676, 519, 11175, 540, 9160, 593, 519, 3774, 543, 849, 538, 519, 3774, 1141, 9160, 1223, 711, 23309, 13954, 320, 7613, 1141, 519, 9160, 13594, 2501, 693, 519, 1283, 540, 519, 2627, 543, 519, 27960, 7017, 693, 519, 5377, 8198, 347, 26502, 540, 519, 2014, 1475, 302, 951, 1242, 14919, 1475, 2750, 947, 633, 1216, 8198, 347, 7093, 3685, 1475, 10673, 1406, 946, 1360, 13888, 9160, 13954, 10673, 1406, 946, 1447, 2179, 540, 6405, 8198, 347, 21675, 1475, 11754, 31431, 540, 9160, 538, 3160, 8167, 13954, 3725, 1952, 569, 519, 9160, 13594, 538, 519, 2694, 1141, 17478, 568, 2938, 8198, 347, 5475, 2360, 1475, 4692, 3368, 519, 1272, 540, 519, 2679, 13954, 4692, 1118, 621, 519, 3774, 10536, 13479, 543, 824, 9190, 2208, 8198, 1432, 568, 26006, 18474, 888, 295, 2292, 18474, 5250, 593, 9160, 610, 6405, 5526, 547, 581, 20097, 540, 519, 9932, 10987, 269, 634, 1292, 2014, 540, 9932, 1260, 2125, 538, 6405, 568, 3983, 21513, 1279, 609, 4057, 960, 1464, 1775, 4318, 269, 519, 4600, 1705, 711, 798, 741, 2816, 1739, 519, 4808, 563, 2026, 4166, 607, 519, 9505, 18146, 568, 6569, 267, 9932, 1260, 2125, 602, 616, 593, 519, 5011, 616, 3362, 7298, 547, 519, 21736, 3750, 269, 1703, 616, 513, 2603, 540, 4128, 799, 666, 2014, 9932, 1260, 6883, 563, 1103, 14363, 19089, 568, 835, 540, 519, 1292, 2188, 602, 1291, 547, 6405, 12889, 593, 519, 2627, 540, 519, 6821, 269, 670, 3421, 543, 824, 8792, 19659, 3330, 519, 6405, 786, 1106, 9932, 1260, 2125, 1175, 899, 519, 9566, 540, 519, 10987, 563, 18814, 547, 16789, 31954, 543, 16136, 1125, 14919, 267, 642, 6950, 2049, 950, 6405, 568, 23953, 5196, 519, 3774, 267, 4929, 513, 9932, 18474, 2497, 269, 2368, 824, 4128, 585, 9932, 1260, 6883, 616, 454, 268, 1133, 2889, 32216, 21513, 1282, 26311, 540, 6405, 610, 9160, 593, 519, 2627, 540, 519, 3774, 563, 268, 22365, 7593, 13063, 941, 711, 4294, 18113, 610, 4988, 18113, 563, 268, 2422, 540, 1360, 13888, 6405, 2059, 609, 6404, 17114, 540, 6405, 563, 268, 28246, 946, 540, 27960, 563, 1607, 9932, 18474, 2497, 1058, 2063, 585, 3368, 607, 1279, 607, 519, 15810, 1272, 540, 519, 2679, 267, 799, 568, 1063, 476, 736, 543, 476, 1789, 1296, 269, 9747, 267, 621, 6971, 519, 1272, 540, 519, 3774, 267, 543, 538, 4049, 2665, 267, 621, 814, 519, 1272, 540, 519, 2679, 563, 1432, 568, 21540, 12198, 888, 763, 2165, 17478, 1797, 519, 9668, 540, 25499, 2326, 538, 6405, 269, 1703, 616, 1082, 28944, 540, 519, 5933, 540, 17478, 855, 835, 2101, 8760, 20147, 1614, 2010, 540, 17478, 563, 763, 1101, 835, 568, 519, 10868, 540, 21432, 14919, 689, 9160, 3575, 269, 634, 2034, 835, 568, 519, 27072, 540, 9160, 13594, 689, 6405, 693, 519, 3942, 1141, 621, 568, 5068, 563, 763, 3791, 835, 568, 519, 1184, 540, 19459, 1216, 689, 6405, 630, 289, 548, 5338, 538, 6405, 1040, 20963, 543, 21432, 27960, 616, 6404, 609, 9160, 547, 1106, 6405, 563, 2414, 1106, 513, 24267, 3575, 267, 782, 519, 23466, 540, 6405, 1590, 581, 5265, 19040, 269, 11109, 1114, 1808, 28040, 885, 540, 23466, 568, 519, 3119, 2014, 540, 17478, 538, 6405, 563, 306, 1122, 12198, 4386, 950, 519, 1804, 6404, 8167, 622, 14919, 5536, 7017, 543, 4734, 513, 804, 17056, 5070, 9160, 3575, 593, 1283, 267, 8850, 3056, 547, 28811, 2298, 563, 2414, 7753, 891, 2042, 3361, 676, 17478, 267, 513, 5386, 14919, 609, 606, 3160, 8167, 540, 519, 31431, 1223, 581, 1031, 269, 1677, 3035, 519, 2838, 4222, 267, 2705, 267, 519, 1374, 3575, 1590, 581, 971, 602, 621, 666, 581, 8045, 563, 1103, 519, 1482, 1259, 267, 5329, 538, 2247, 519, 2199, 1570, 16551, 267, 519, 1216, 5223, 949, 581, 3144, 883, 2272, 538, 519, 1374, 3575, 547, 2061, 11702, 540, 519, 6405, 5423, 563, 14611, 20212, 9737, 26006, 18474, 543, 21540, 12198, 454, 268, 26006, 18474, 4016, 547, 519, 13520, 9566, 2497, 4646, 593, 519, 6405, 3774, 6466, 17478, 4016, 547, 519, 11702, 540, 519, 3774, 563, 268, 26006, 18474, 666, 581, 5701, 676, 7311, 513, 5386, 7848, 540, 519, 9160, 31431, 538, 519, 9475, 6466, 513, 2898, 1007, 4494, 540, 9160, 568, 4294, 547, 1521, 17478, 563, 268, 26006, 18474, 568, 3361, 676, 1210, 16136, 1242, 27960, 6466, 17478, 568, 3361, 676, 1210, 7050, 1216, 563, 268, 26006, 18474, 666, 3368, 519, 1272, 540, 519, 3774, 6466, 17478, 666, 1450, 9190, 2208, 593, 519, 3774, 563, 268, 26006, 18474, 666, 581, 15286, 676, 711, 1210, 13888, 9160, 6466, 17478, 666, 581, 15286, 676, 1210, 2614, 9160, 610, 676, 711, 1210, 7050, 1216, 563, 296, 4076, 2322, 865, 1454, 4674, 1603, 713, 5816, 2022, 547, 1683, 1871, 547, 596, 269, 898, 3580, 581, 1360, 5363, 585, 803, 267, 952, 596, 2015, 4687, 621, 593, 1514, 2923, 610, 609, 707, 2828, 11721, 13637, 269, 15562, 2752, 5058, 4959, 2340, 503, 354, 20804, 454, 303, 12011, 2313, 962, 611, 822, 814, 6170, 519, 2250, 476, 1839, 1296, 2324, 607, 513, 21997, 538, 519, 2199, 2146, 269, 1261, 568, 513, 21997, 13730, 827, 1818, 2257, 811, 3015, 547, 938, 3988, 269, 1261, 6585, 513, 645, 9928, 538, 7849, 7070, 543, 5403, 23958, 24547, 5448, 538, 7025, 3163, 269, 1411, 666, 1224, 811, 827, 1864, 593, 1010, 6915, 2985, 269, 0, 24309, 676, 20917, 4144, 8867, 334, 454, 2108, 3891, 597, 5979, 1682, 941, 8677, 602, 941, 865, 28336, 602, 789, 9327, 1406, 581, 4421, 2221, 7498, 9336, 1587, 23229, 2394, 621, 779, 8719, 676, 1007, 25752, 5979, 1682, 3034, 763, 1394, 31988, 729, 17149, 563, 1432, 616, 25752, 5979, 1682, 286, 589, 476, 3707, 280, 2376, 538, 519, 1715, 3840, 8648, 3989, 873, 607, 968, 13449, 3542, 3990, 8677, 1496, 328, 4318, 269, 16220, 7123, 3515, 267, 711, 674, 272, 29528, 316, 602, 616, 811, 982, 476, 2004, 1296, 2025, 543, 723, 1044, 19942, 1524, 998, 5481, 1848, 898, 13352, 519, 2413, 2930, 4214, 1107, 855, 711, 519, 4207, 7082, 779, 20772, 585, 513, 3119, 1445, 593, 6492, 563, 24456, 9960, 568, 606, 2141, 5571, 1184, 269, 6601, 539, 619, 1332, 856, 741, 4295, 4015, 540, 1024, 8040, 1169, 1032, 267, 3444, 873, 543, 2445, 5452, 689, 519, 1655, 2043, 269, 12769, 31531, 1007, 1024, 8040, 609, 1007, 3601, 616, 3773, 547, 519, 3575, 267, 855, 585, 519, 1034, 851, 513, 9960, 1982, 568, 513, 6655, 518, 12966, 602, 11179, 10607, 519, 2298, 543, 2773, 540, 513, 2016, 7693, 563, 10144, 538, 519, 2250, 2760, 9763, 741, 7031, 607, 3501, 1107, 789, 941, 2141, 3843, 547, 2087, 741, 5172, 8677, 267, 2436, 547, 1205, 1732, 2504, 267, 547, 3514, 4657, 535, 1662, 687, 267, 610, 547, 14133, 538, 1007, 5054, 269, 1306, 21350, 5367, 538, 519, 1657, 2376, 267, 968, 288, 476, 5002, 273, 22648, 676, 8738, 701, 324, 729, 513, 9985, 1434, 22648, 676, 476, 5002, 273, 4441, 2507, 1809, 9039, 540, 938, 11937, 2479, 9763, 891, 1919, 607, 2944, 269, 1411, 2760, 11074, 9960, 707, 13184, 269, 1411, 2760, 11074, 8939, 707, 22648, 1848, 4658, 4043, 547, 9376, 5196, 519, 2856, 602, 4587, 8677, 13820, 539, 1732, 1247, 30534, 602, 267, 1256, 950, 6492, 729, 5140, 267, 265, 6325, 2773, 538, 519, 4677, 729, 1419, 711, 563, 268, 7731, 23543, 1107, 552, 3052, 269, 930, 2027, 2030, 2699, 4593, 2642, 3395, 538, 2576, 779, 4677, 454, 268, 6196, 630, 984, 26207, 264, 2344, 8677, 1107, 552, 3052, 269, 519, 8355, 951, 31577, 543, 31089, 7970, 16603, 12533, 268, 7073, 25752, 5979, 1682, 1107, 552, 3052, 269, 519, 4006, 26882, 890, 320, 267, 2919, 676, 513, 10448, 9742, 518, 538, 519, 476, 3192, 271, 338, 454, 268, 25491, 25752, 5979, 1682, 1107, 552, 3052, 269, 8677, 602, 723, 1044, 12873, 676, 6705, 543, 22254, 454, 2467, 779, 513, 1747, 585, 14120, 5929, 4066, 630, 663, 7693, 8677, 1070, 855, 594, 6557, 811, 5461, 538, 7487, 1004, 1847, 3564, 513, 30651, 593, 606, 22350, 4998, 1242, 2250, 547, 1711, 741, 1378, 2104, 563, 265, 2290, 10656, 3659, 5143, 803, 602, 267, 14669, 547, 519, 2442, 8226, 602, 3536, 941, 1732, 1282, 938, 6107, 267, 519, 14274, 646, 8057, 909, 609, 941, 5458, 543, 2699, 1107, 855, 1216, 344, 543, 13820, 6804, 269, 20497, 14274, 2139, 538, 519, 13814, 2221, 616, 1454, 13820, 1512, 563, 1262, 634, 31089, 7970, 16603, 267, 5950, 538, 519, 476, 4350, 271, 338, 267, 729, 835, 540, 519, 9998, 2527, 27360, 564, 16603, 8677, 269, 898, 729, 26870, 7361, 607, 513, 4393, 16603, 630, 328, 4318, 269, 13594, 543, 11337, 577, 1575, 267, 711, 4195, 4189, 1040, 898, 779, 4401 ]

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

[ 2111, 547, 16172, 1217, 10036, 3037, 676, 922, 18015, 593, 1085, 528, 4221, 4832, 4005, 2395, 543, 922, 7050, 30077, 1782, 1369, 519, 5162, 563, 268, 9995, 344, 3037, 814, 7372, 5536, 543, 7959, 27497, 1399, 269, 9197, 3518, 569, 3037, 6591, 1406, 2186, 610, 1832, 538, 513, 3440, 950, 13603, 909, 269, 9995, 344, 3037, 28368, 16172, 267, 799, 5267, 621, 19380, 9425, 513, 2370, 3787, 540, 8770, 16172, 563, 268, 10753, 18081, 3037, 568, 519, 3803, 2262, 3037, 269, 2334, 568, 519, 3037, 596, 616, 12394, 547, 10536, 269, 10753, 18081, 3037, 568, 14927, 2705, 711, 20202, 269, 898, 1835, 3518, 956, 3274, 543, 3085, 1406, 2186, 883, 513, 9157, 3440, 610, 11523, 950, 3819, 563, 21607, 1927, 519, 3037, 454, 3086, 602, 596, 1174, 707, 3037, 6499, 267, 596, 3580, 581, 2111, 547, 2322, 1927, 621, 585, 519, 8375, 4005, 563, 15761, 2400, 5686, 540, 13226, 949, 581, 1459, 538, 707, 5065, 4401, 332, 784, 2044, 4558, 269, 5272, 2186, 540, 13226, 814, 513, 5697, 7848, 540, 9436, 267, 16903, 267, 543, 11379, 269, 1234, 2391, 2390, 1018, 707, 3037, 2638, 9138, 267, 596, 3580, 581, 2111, 547, 2824, 513, 2203, 543, 2186, 540, 13226, 547, 3986, 707, 3037, 269, 9701, 596, 3870, 2067, 2339, 267, 1589, 827, 835, 610, 513, 7848, 540, 1346, 5079, 563, 268, 700, 830, 281, 14780, 2478, 519, 9063, 540, 15755, 3037, 563, 268, 590, 5285, 584, 281, 8899, 619, 519, 9063, 540, 22279, 3037, 563, 268, 8381, 523, 11849, 281, 14780, 2478, 519, 9063, 540, 15755, 3037, 563, 11847, 1515, 1896, 2010, 540, 3037, 563, 763, 1697, 3037, 9403, 568, 1271, 585, 3597, 6454, 543, 585, 5072, 547, 1491, 909, 7509, 543, 2011, 269, 769, 2013, 707, 3037, 568, 10053, 543, 10036, 6438, 267, 519, 5377, 786, 3251, 1932, 5848, 267, 799, 5267, 5072, 786, 546, 3497, 543, 1256, 1020, 3597, 4232, 269, 9995, 344, 11934, 786, 8963, 1932, 16172, 267, 543, 707, 5452, 6591, 1406, 27653, 909, 6190, 7509, 269, 1280, 519, 1360, 1655, 8375, 5790, 267, 596, 991, 513, 6989, 602, 949, 4235, 1216, 2705, 5512, 6190, 2011, 547, 2095, 883, 269, 1411, 3580, 581, 2111, 547, 3986, 3037, 9403, 676, 1519, 2067, 2326, 269, 3281, 739, 543, 24435, 21263, 616, 4440, 519, 1034, 8037, 2067, 7727, 267, 2705, 621, 779, 849, 2009, 547, 1039, 23226, 267, 6371, 804, 2089, 902, 267, 543, 24588, 7031, 547, 10038, 707, 3037, 779, 9403, 563, 268, 22110, 3037, 281, 2290, 540, 519, 1655, 2081, 547, 5818, 10036, 3037, 568, 865, 607, 547, 1039, 476, 274, 547, 476, 275, 6279, 540, 11003, 269, 901, 666, 1118, 519, 3037, 3063, 960, 762, 269, 5410, 12450, 610, 9735, 13626, 22890, 547, 519, 5377, 585, 3773, 4070, 563, 268, 9995, 344, 3037, 281, 4518, 1369, 519, 11003, 540, 1134, 268, 8527, 1540, 23226, 547, 519, 5377, 269, 10705, 267, 827, 1614, 547, 476, 275, 6279, 786, 798, 269, 898, 779, 849, 2009, 547, 960, 538, 10800, 331, 7031, 547, 3761, 2417, 4070, 563, 268, 10753, 600, 281, 2060, 519, 1697, 3575, 540, 3037, 12204, 267, 596, 3592, 6157, 6591, 1406, 1616, 865, 607, 547, 1039, 513, 2603, 4505, 982, 9544, 4849, 519, 3037, 2638, 15225, 606, 9000, 540, 8324, 563, 763, 1655, 1935, 547, 2087, 707, 18147, 3037, 568, 676, 1519, 11003, 610, 1114, 2067, 2326, 513, 7008, 540, 2053, 513, 29757, 269, 4825, 652, 707, 3037, 21496, 267, 23679, 1369, 519, 2887, 267, 865, 596, 3580, 581, 2111, 547, 1039, 22853, 543, 11863, 873, 547, 31693, 936, 519, 5162, 269, 589, 1134, 1922, 539, 18147, 786, 1039, 14996, 775, 547, 707, 1753, 267, 7393, 707, 26193, 17134, 656, 618, 269, 16544, 609, 1283, 27677, 577, 26193, 17134, 656, 618, 616, 3063, 1303, 6005, 547, 6800, 543, 666, 4217, 596, 3895, 707, 853, 269, 22642, 7921, 1753, 16172, 543, 585, 606, 5140, 4502, 269, 0, 1805, 655, 2281, 630, 306, 12336, 264, 8858, 519, 1582, 3146, 2908, 531, 2841, 1878, 543, 519, 12588, 547, 3715, 519, 1808, 1591, 2010, 607, 1134, 607, 606, 3003, 11248, 1496, 272, 267, 476, 273, 4940, 16989, 6565, 2281, 630, 3008, 12336, 264, 616, 2189, 2010, 540, 519, 1480, 6565, 2281, 7294, 538, 606, 4835, 11808, 7271, 543, 6721, 10682, 585, 2281, 28115, 730, 676, 1585, 5773, 1547, 1358, 2291, 538, 693, 1880, 26715, 4609, 543, 949, 3136, 547, 581, 844, 625, 1417, 585, 1279, 5712, 11489, 13251, 676, 741, 13766, 547, 2844, 5160, 27921, 269, 11531, 267, 590, 12336, 538, 519, 31894, 5160, 616, 1336, 5631, 693, 519, 1351, 928, 657, 743, 1968, 18215, 639, 1496, 275, 267, 476, 276, 4940, 11569, 267, 1079, 8783, 5686, 540, 6789, 12336, 616, 1336, 538, 519, 1929, 4472, 13395, 267, 21214, 519, 25853, 543, 588, 668, 531, 6565, 2281, 27883, 528, 17941, 1929, 4472, 6565, 2281, 630, 11862, 12336, 13580, 10483, 609, 519, 1351, 928, 531, 588, 668, 531, 6565, 2281, 630, 16430, 12336, 264, 1547, 1452, 590, 12336, 1489, 519, 11413, 540, 1351, 928, 531, 269, 634, 700, 306, 12336, 267, 607, 513, 1134, 7302, 541, 1461, 1242, 2551, 540, 6789, 12336, 267, 13883, 538, 519, 1351, 928, 531, 18215, 639, 685, 21828, 25853, 4494, 267, 4929, 519, 1351, 928, 531, 13423, 26375, 20344, 269, 634, 700, 306, 12336, 10638, 630, 11862, 7374, 264, 568, 2808, 607, 606, 513, 2619, 11043, 2783, 267, 799, 729, 9138, 676, 519, 14524, 607, 1134, 607, 23979, 540, 590, 12336, 840, 15479, 832, 540, 519, 1351, 928, 531, 13423, 26375, 269, 901, 2783, 568, 6353, 676, 1351, 928, 531, 31792, 2526, 1436, 1547, 769, 522, 4788, 5160, 267, 700, 306, 12336, 3142, 827, 513, 11808, 4493, 540, 28738, 3218, 2281, 267, 5555, 10451, 543, 13868, 1351, 928, 531, 13423, 26375, 269, 1306, 513, 1267, 267, 700, 306, 12336, 5945, 4951, 538, 700, 306, 7374, 1223, 896, 12340, 29523, 3308, 9124, 1496, 279, 267, 476, 280, 14073, 14483, 5359, 1129, 1881, 602, 5418, 3999, 22241, 7506, 540, 8544, 26067, 2096, 531, 6565, 2281, 630, 5960, 12336, 264, 616, 7361, 25623, 676, 10451, 19729, 1612, 659, 9068, 5820, 267, 799, 1331, 855, 711, 11658, 547, 29299, 267, 2208, 2188, 267, 543, 4719, 1570, 1496, 1015, 268, 1321, 4940, 1401, 22199, 630, 1789, 268, 1911, 16354, 538, 8006, 264, 616, 519, 1292, 12204, 540, 24519, 8397, 29414, 5738, 2873, 630, 14110, 338, 264, 9658, 1540, 676, 6565, 1591, 267, 4761, 2281, 543, 3092, 1496, 1724, 268, 1428, 4940, 769, 1840, 547, 519, 608, 22199, 267, 26586, 5328, 4703, 630, 288, 17763, 289, 264, 543, 2890, 1407, 2873, 630, 300, 26394, 264, 616, 824, 2010, 540, 519, 12601, 338, 543, 616, 3677, 982, 476, 1911, 16354, 538, 8006, 269, 1401, 22199, 1362, 1227, 6655, 519, 4909, 524, 1173, 657, 267, 538, 1880, 267, 11465, 11748, 267, 547, 519, 18579, 2281, 269, 769, 1249, 267, 608, 22199, 7520, 5160, 6051, 543, 3870, 610, 836, 1599, 1496, 1626, 267, 476, 1704, 4940, 21452, 267, 608, 22199, 11851, 2147, 2360, 547, 9049, 12336, 538, 1007, 6077, 5250, 267, 15645, 908, 4761, 6114, 267, 543, 1802, 1424, 3077, 1591, 18735, 4586, 1103, 713, 1353, 267, 649, 723, 11117, 519, 2009, 2360, 540, 519, 9049, 12336, 23402, 608, 25593, 593, 519, 700, 306, 12336, 538, 20117, 563, 763, 1480, 9049, 12336, 941, 12349, 689, 519, 20858, 21983, 25745, 8426, 30911, 267, 9459, 269, 19204, 941, 31796, 538, 667, 592, 2041, 764, 334, 779, 3525, 1881, 26267, 23839, 630, 19699, 4932, 264, 630, 22479, 878, 1941, 11660, 267, 5125, 264, 609, 476, 1015, 260, 674, 13926, 645, 990, 710, 5395, 636, 630, 293, 7034, 264, 630, 22479, 878, 1941, 11660, 267, 5125, 264, 543, 476, 272, 260, 4050, 23995, 10517, 630, 306, 7950, 5025, 671, 5341, 267, 5125, 1040, 2414, 3489, 519, 700, 306, 12336, 267, 1929, 4472, 26079, 6508, 689, 10856, 4064, 729, 26819, 539, 269, 3973, 5160, 729, 2759, 26079, 883, 5634, 15998, 267, 543, 2736, 1524, 519, 15998, 609, 2119, 1186, 514, 1436, 269, 9049, 12336, 543, 700, 306, 12336, 941, 17861, 730, 693, 513, 476, 4391, 9180, 18519, 1881, 5790, 267, 609, 2910, 273, 476, 276, 18336, 763, 608, 22199, 941, 22876, 3293, 689, 519, 31411, 2923, 630, 13967, 264, 540, 519, 6565, 1591, 2528, 1166, 2532, 269, 1401, 25593, 10072, 729, 5342, 1210, 519, 11192, 1401, 25593, 1772, 15684, 1234, 26047, 630, 1103, 10903, 4088, 1040, 16448, 539, 2923, 729, 25916, 539, 693, 476, 1911, 876, 6398, 575, 585, 476, 1789, 1295, 547, 30817, 519, 824, 12601, 338, 563, 763, 9678, 608, 22199, 685, 19916, 729, 9916, 29227, 519, 6771, 6475, 22794, 630, 25539, 296, 570, 1815, 333, 2967, 476, 1321, 267, 5845, 2354, 267, 13814, 1916, 2750, 16054, 540, 519, 7131, 8287, 543, 7131, 10037, 729, 11117, 593, 519, 2627, 593, 1591, 543, 608, 25593, 676, 7262, 1025, 31857, 269, 769, 5618, 267, 2281, 941, 30897, 539, 1210, 681, 296, 5183, 17280, 543, 25739, 30897, 622, 16487, 547, 519, 14346, 5263, 17011, 630, 13270, 296, 6490, 1962, 2033, 16370, 267, 7330, 1040, 3973, 267, 3119, 543, 6281, 12489, 630, 6781, 31748, 267, 5177, 264, 941, 1031, 547, 7447, 519, 4082, 540, 7131, 8287, 543, 7131, 10037, 2889, 974, 1231, 593, 608, 25593, 543, 1591, 2627, 563, 763, 7506, 540, 519, 608, 22199, 693, 2810, 9830, 540, 476, 2004, 910, 6110, 23356, 270, 6447, 593, 519, 700, 306, 12336, 941, 11567, 676, 631, 22721, 22368, 7282, 631, 22721, 6539, 5528, 16733, 306, 7950, 5025, 671, 5341, 267, 5125, 26895, 634, 476, 271, 269, 276, 9943, 10755, 2281, 941, 6079, 539, 1101, 569, 538, 1142, 6676, 540, 519, 476, 9834, 2914, 749, 10824, 543, 6854, 585, 476, 2190, 3108, 269, 3973, 649, 3773, 519, 476, 2004, 268, 6110, 23356, 270, 6447, 608, 25593, 267, 543, 519, 2281, 941, 6854, 585, 476, 2190, 268, 9834, 3108, 269, 16828, 267, 519, 476, 276, 8406, 631, 22721, 270, 6447, 5420, 630, 1015, 18725, 299, 264, 729, 3773, 269, 11086, 267, 519, 744, 291, 540, 19401, 729, 12290, 693, 476, 31816, 16354, 20966, 1739, 827, 476, 275, 3108, 540, 29164, 563, 11748, 10868, 543, 524, 19091, 10282, 543, 26592, 19738, 454, 8794, 519, 681, 301, 311, 9578, 3070, 6539, 630, 306, 514, 659, 23127, 267, 9459, 264, 2698, 10717, 10072, 689, 700, 306, 12336, 729, 7307, 269, 3973, 519, 524, 19091, 729, 6383, 676, 519, 1164, 32728, 13369, 6539, 9715, 689, 519, 645, 7748, 518, 267, 7330, 269, 1280, 16759, 540, 519, 4082, 540, 18317, 298, 267, 533, 4343, 30684, 298, 267, 654, 660, 543, 16061, 2275, 22760, 514, 693, 22328, 2157, 267, 11050, 19738, 729, 12913, 269, 634, 24704, 524, 19091, 267, 4464, 543, 9258, 2215, 619, 630, 8368, 476, 272, 1070, 30341, 1216, 267, 543, 11788, 11742, 12814, 9457, 17186, 9715, 689, 519, 16740, 11575, 3534, 267, 630, 308, 2529, 6993, 941, 6964, 563, 24342, 689, 1614, 4830, 4255, 4951, 538, 6399, 13008, 590, 4932, 269, 3973, 9906, 570, 23150, 729, 7307, 538, 547, 5581, 519, 8579, 3604, 269, 31664, 941, 9916, 676, 590, 31723, 563, 305, 2464, 8085, 4811, 1315, 20591, 290, 4785, 31064, 454, 310, 3480, 1025, 31857, 543, 570, 4932, 3239, 454, 763, 4082, 540, 7131, 8287, 543, 7131, 10037, 543, 570, 4932, 3239, 4951, 608, 25593, 3811, 10072, 689, 9049, 12336, 630, 8993, 269, 476, 272, 543, 476, 273, 1916, 5960, 12336, 23402, 608, 25593, 5818, 539, 700, 306, 12336, 1591, 18735, 454, 6097, 547, 519, 631, 22721, 22368, 4539, 267, 476, 2004, 268, 476, 6110, 23356, 270, 6447, 9830, 540, 608, 22199, 5818, 539, 700, 306, 12336, 18735, 1369, 476, 2190, 268, 476, 9834, 3108, 540, 6304, 630, 8993, 269, 476, 274, 1040, 901, 3310, 729, 811, 7986, 693, 519, 476, 6110, 978, 270, 6447, 5834, 540, 608, 665, 727, 1369, 476, 9834, 3108, 540, 2126, 630, 8993, 269, 476, 274, 1040, 11569, 267, 519, 1764, 729, 1312, 942, 268, 543, 9570, 17466, 269, 634, 11215, 2360, 540, 519, 608, 22199, 593, 700, 17092, 18735, 941, 1713, 855, 711, 2178, 693, 476, 2004, 23356, 270, 6447, 5834, 563, 763, 9354, 21941, 540, 9049, 12336, 547, 993, 601, 1640, 622, 1351, 928, 531, 1566, 13369, 267, 683, 7975, 1436, 267, 543, 632, 29970, 4761, 3210, 723, 9244, 1044, 23576, 538, 1585, 8097, 3631, 540, 700, 306, 7374, 269, 769, 1840, 267, 621, 729, 17820, 602, 608, 25593, 689, 1480, 9049, 12336, 1223, 2149, 27243, 14228, 331, 542, 2281, 630, 305, 294, 12336, 264, 543, 2844, 27243, 1599, 538 ]

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

[ 476, 1556, 269, 2494, 639, 332, 761, 328, 734, 1492, 16339, 529, 762, 3332, 281, 3657, 519, 18243, 1080, 27734, 27085, 476, 1321, 269, 23347, 2381, 673, 1514, 1931, 799, 17134, 7134, 519, 1744, 644, 6652, 543, 519, 2021, 281, 634, 22864, 519, 23347, 332, 1231, 9715, 1317, 540, 2494, 340, 282, 717, 24612, 8635, 282, 2494, 340, 781, 23998, 2509, 2021, 269, 476, 1724, 269, 13898, 540, 519, 21475, 5025, 787, 753, 281, 4858, 8676, 1143, 267, 28174, 9017, 543, 23347, 2381, 1143, 282, 5641, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 5719, 743, 710, 540, 13221, 538, 9147, 3127, 257, 607, 851, 540, 834, 32628, 1315, 13221, 1315, 3778, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 8080, 547, 606, 5863, 1158, 1141, 2257, 10742, 4948, 1272, 256, 4653, 649, 2811, 2469, 547, 2263, 875, 930, 13085, 3173, 946, 5201, 543, 6464, 547, 948, 4194, 2564, 13655, 543, 1020, 1007, 5574, 585, 3676, 899, 3987, 543, 2860, 269, 1284, 786, 849, 1451, 827, 519, 6909, 960, 1373, 2944, 547, 1174, 875, 938, 4703, 1184, 1114, 6878, 602, 649, 2097, 883, 3346, 609, 1169, 2582, 1554, 780, 5331, 952, 596, 1223, 10244, 519, 1379, 540, 5201, 543, 7998, 547, 1689, 519, 1259, 649, 3713, 543, 1521, 10108, 286, 2334, 779, 4010, 1018, 3220, 269, 6424, 1849, 858, 601, 1281, 256, 1306, 513, 7905, 540, 11061, 693, 513, 2462, 6280, 267, 646, 5012, 513, 1895, 540, 8049, 8186, 1572, 519, 1849, 858, 601, 3194, 6828, 269, 8625, 789, 2932, 6901, 1210, 6946, 7405, 538, 741, 8047, 4092, 1164, 909, 538, 513, 2679, 4904, 609, 824, 3744, 269, 1358, 1445, 593, 1945, 1634, 607, 834, 19491, 10635, 13511, 2437, 799, 10905, 5122, 1648, 609, 3114, 6547, 780, 4131, 781, 2736, 713, 1524, 1927, 256, 1411, 917, 875, 950, 596, 16212, 513, 1769, 6467, 267, 5201, 8928, 998, 12904, 543, 8279, 909, 707, 4055, 286, 4270, 267, 4952, 2348, 2027, 2645, 602, 1450, 721, 547, 1852, 1346, 3167, 14768, 865, 10502, 602, 649, 666, 9594, 1808, 3114, 2242, 538, 6263, 1919, 899, 6675, 1107, 602, 779, 6850, 322, 13511, 256, 1635, 3257, 713, 267, 3220, 269, 1849, 858, 601, 543, 1010, 2319, 4126, 547, 3605, 1007, 2081, 547, 13209, 543, 4339, 3676, 971, 607, 3987, 543, 1256, 2860, 269, 898, 1522, 3280, 7294, 1631, 267, 855, 1589, 540, 621, 607, 15705, 7060, 7996, 547, 581, 12260, 539, 2439, 3086, 1577, 803, 6338, 596, 547, 1776, 4241, 10196, 267, 3220, 269, 674, 269, 8834, 2871, 10152, 747, 269, 1261, 781, 513, 4487, 24413, 4974, 1979, 17190, 267, 2519, 593, 1620, 875, 938, 1560, 20362, 1585, 6878, 649, 7237, 3232, 269, 5620, 596, 2479, 9289, 1018, 4523, 950, 649, 3548, 1426, 610, 13236, 2011, 286, 3776, 4703, 1491, 538, 6266, 540, 2326, 267, 1312, 5363, 543, 5739, 3283, 269, 1809, 1810, 1405, 5855, 282, 1175, 899, 27568, 723, 2427, 330, 6506, 267, 938, 4703, 723, 3710, 2987, 2149, 832, 1932, 2439, 7804, 269, 2871, 10152, 747, 27180, 891, 8825, 1949, 3330, 721, 267, 4481, 3168, 693, 11476, 1572, 968, 1097, 1729, 577, 4435, 623, 14596, 1848, 1452, 2370, 21847, 1796, 9856, 1369, 938, 2281, 543, 7914, 883, 2962, 8164, 789, 5544, 5732, 5906, 7135, 269, 4635, 741, 3532, 3114, 23805, 267, 789, 2759, 6306, 13311, 28164, 1354, 789, 666, 2014, 1022, 2800, 269, 1215, 3579, 568, 602, 31841, 3528, 1565, 811, 827, 891, 11747, 9718, 619, 267, 3220, 269, 2871, 10152, 747, 13922, 547, 1265, 1732, 2081, 547, 3589, 875, 1004, 781, 4703, 1522, 2746, 8335, 547, 1978, 11955, 610, 14107, 269, 1924, 1985, 942, 596, 2972, 513, 17705, 7594, 610, 1404, 3544, 593, 513, 13566, 1554, 267, 3314, 972, 616, 9118, 18784, 12959, 2921, 1747, 3330, 596, 267, 5329, 596, 2922, 543, 2635, 780, 1103, 5758, 267, 649, 4121, 2221, 602, 2257, 3884, 1405, 1152, 1336, 538, 9499, 610, 13460, 910, 621, 781, 782, 1472, 721, 267, 2324, 24091, 3297, 519, 10207, 269, 12207, 899, 3220, 269, 1849, 858, 601, 543, 3220, 269, 2871, 10152, 747, 946, 5969, 12967, 2029, 543, 741, 5318, 1702, 547, 10994, 1950, 2042, 267, 5355, 3782, 543, 7863, 721, 689, 1761, 12178, 269, 1656, 945, 6487, 286, 9320, 14693, 4166, 267, 9358, 786, 6443, 873, 538, 26500, 1007, 11580, 6456, 2620, 1369, 519, 14952, 748, 1158, 540, 7998, 543, 7350, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 21837, 1849, 858, 601, 267, 1912, 6185, 563, 23178, 540, 11061, 454, 4942, 6185, 1421, 2160, 540, 7147, 267, 476, 1960, 279, 454, 309, 2562, 10345, 267, 966, 2975, 289, 267, 15089, 641, 14835, 29119, 574, 923, 267, 5082, 549, 534, 3315, 3749, 11061, 267, 11906, 10334, 267, 12713, 534, 3315, 3749, 11061, 543, 30551, 11061, 454, 10112, 1539, 622, 7548, 540, 7998, 6424, 1849, 858, 601, 666, 581, 513, 4161, 269, 769, 1840, 547, 3450, 267, 519, 4274, 538, 6850, 322, 13511, 543, 10763, 7998, 13327, 525, 1382, 538, 3670, 22475, 538, 2185, 5656, 1369, 519, 21862, 21672, 4741, 269, 901, 2978, 593, 519, 11359, 6989, 540, 8490, 476, 276, 5713, 607, 1753, 3490, 585, 519, 1849, 858, 601, 3194, 6828, 267, 1010, 2319, 540, 2022, 28273, 28118, 27498, 267, 10927, 1053, 543, 896, 6588, 706, 919, 269, 634, 1895, 1568, 609, 7463, 31627, 543, 3157, 14542, 547, 1034, 267, 855, 922, 1382, 949, 835, 1554, 1764, 3987, 267, 10074, 543, 2860, 563, 293, 269, 8834, 2871, 10152, 747, 267, 1912, 6185, 563, 23178, 540, 4437, 17190, 454, 4942, 6185, 1421, 966, 6387, 321, 2830, 2160, 267, 476, 3192, 274, 630, 18693, 17190, 994, 28899, 2127, 540, 1719, 1331, 519, 10307, 540, 15910, 11077, 543, 5061, 676, 2166, 1729, 577, 4435, 623, 14596, 11476, 267, 519, 6915, 716, 10474, 540, 10300, 4094, 730, 8652, 8364, 321, 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, 7201, 17231, 519, 27763, 267, 6531, 1652, 23497, 6607, 267, 594, 1336, 8885, 14084, 593, 1250, 1394, 267, 17680, 6137, 513, 524, 13246, 727, 21208, 517, 8254, 9280, 609, 513, 7658, 874, 9369, 7828, 269, 3733, 8966, 10732, 2250, 830, 286, 12650, 1005, 2592, 540, 3859, 1166, 4100, 998, 1250, 7463, 16263, 269, 898, 729, 513, 13395, 1719, 267, 855, 621, 4547, 803, 10373, 7772, 543, 9547, 1107, 972, 781, 1945, 3592, 1199, 5511, 827, 7996, 3461, 569, 585, 2470, 547, 7866, 922, 13300, 780, 1607, 1880, 1554, 1185, 13175, 1175, 899, 1022, 824, 282, 2705, 267, 1919, 3576, 606, 6397, 2490, 950, 594, 8068, 3350, 2282, 1250, 3937, 2013, 269, 589, 8049, 13863, 332, 6064, 1185, 7307, 547, 530, 3419, 326, 548, 922, 1259, 3330, 543, 1631, 575, 23932, 2685, 28594, 31090, 693, 519, 1379, 15791, 4448, 547, 1250, 17960, 269, 769, 16897, 267, 594, 14478, 607, 1250, 5326, 8929, 3459, 547, 1570, 1125, 1354, 1250, 4064, 910, 513, 7372, 11237, 540, 7943, 729, 26405, 547, 16802, 8521, 267, 27283, 519, 30723, 538, 20498, 6752, 269, 1403, 1152, 519, 2370, 1814, 614, 1131, 24044, 922, 16160, 1884, 923, 2439, 293, 745, 1598, 730, 543, 5462, 267, 594, 6785, 594, 2877, 547, 957, 3533, 952, 594, 4941, 547, 32006, 720, 1312, 1250, 10591, 543, 519, 4316, 9306, 3294, 1657, 803, 269, 2060, 6071, 8090, 547, 22302, 267, 594, 8756, 539, 1250, 6418, 5839, 294, 344, 591, 543, 15555, 332, 3042, 998, 1250, 9126, 585, 4376, 3730, 269, 25876, 6390, 256, 594, 4362, 513, 3368, 3887, 22760, 1648, 3046, 543, 530, 8491, 621, 21915, 531, 1944, 569, 2673, 547, 519, 6316, 540, 519, 2013, 269, 1306, 17191, 267, 519, 13863, 332, 6064, 14460, 6928, 267, 1085, 600, 27128, 2509, 519, 1521, 3079, 780, 310, 8463, 1100, 942, 267, 594, 556, 8588, 3388, 1175, 607, 519, 897, 1601, 531, 11237, 540, 1769, 22815, 1027, 519, 5790, 267, 10451, 606, 26080, 16802, 540, 10477, 12345, 2066, 519, 6109, 3512, 269, 8437, 1310, 4945, 267, 594, 9676, 519, 18198, 6429, 11200, 532, 1354, 803, 269, 4495, 9108, 6740, 538, 1250, 3965, 3556, 267, 594, 7948, 1405, 948, 855, 669, 22976, 693, 875, 21494, 569, 19278, 519, 2898, 32252, 3512, 5828, 856, 547, 581, 780, 8269, 22162, 593, 713, 10071, 2451, 803, 19825, 1079, 1919, 281, 1101, 267, 2760, 30391, 519, 1871, 540, 13916, 538, 20408, 9465, 630, 2041, 789, 24566, 3283, 610, 6382, 1040, 5822, 267, 3006, 938, 1034, 19644, 2833, 6565, 689, 9583, 27217, 2238, 5916, 609, 513, 21686, 540, 1434, 19539, 543, 4199, 6888, 269, 4595, 1287, 267, 8164, 1272, 25001, 7455, 27750, 1250, 1259, 267, 594, 7618, 8885, 540, 602, 694, 16781, 760, 527, 748, 1554, 9944, 519, 23497, 6607, 267, 11439, 609, 4986, 811, 982, 513, 8254, 267, 513, 16263, 267, 543, 513, 1134, 2389, 574, 539, 30411, 8671, 545, 5473, 606, 22023, 626, 1043, 887, 4823, 15165, 269, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 2108, 303, 28558, 513, 4845, 799, 19528, 782, 540, 891, 2035, 281, 11237, 267, 16802, 267, 6607, 454, 2026, 519, 32689, 3141, 10393, 16802, 883, 513, 7524, 4159, 540, 13085, 4778, 267, 1792, 6545, 540, 546, 9579, 1782, 1769, 4646, 606, 11999, 11237, 267, 30780, 15198, 689, 835, 1439, 540, 519, 30811, 6607, 547, 519, 824, 267, 2870, 606, 25713, 15564, 25378, 18477, 20100, 585, 782, 547, 7198, 14325, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 1684, 711, 1376, 609, 5220, 899, 476, 834, 5629, 2390, 513, 942, 257, 607, 713, 568, 513, 14703, 2022, 543, 711, 513, 3209, 267, 596, 1058, 849, 2057, 4358, 609, 5929, 5220, 899, 834, 288, 1906, 1296, 3516, 257, 610, 834, 288, 1906, 1296, 1394, 2580, 581, 3860, 269, 0, 769, 2221, 781, 1158, 267, 1239, 814, 1831, 606, 1898, 1907, 585, 13422, 1136, 543, 3375, 6194, 693, 1585, 2157, 267, 1519, 2797, 5238, 267, 1875, 17416, 3906, 267, 543, 4213, 269, 4578, 12454, 3375, 6194, 630, 24884, 19699, 264, 3322, 1210, 12170, 2963, 267, 8579, 2079, 267, 543, 2565, 7744, 547, 1217, 3609, 5079, 543, 6218, 741, 4093, 269, 901, 1935, 666, 948, 2327, 602, 4507, 5447, 609, 1857, 2418, 543, 14422, 1247, 849, 5009, 12477, 543, 11413, 269, 769, 713, 3184, 267, 649, 786, 2263, 30250, 19699, 781, 7811, 13210, 543, 4052, 3156, 538, 1646, 6214, 269, 1284, 786, 4983, 875, 2797, 3401, 543, 3906, 946, 1239, 547, 3895, 1514, 10304, 267, 2569, 6710, 267, 543, 6536, 4264, 2208, 269, 3414, 2013, 2090, 267, 1483, 8996, 1806, 267, 543, 2487, 1382, 4681, 267, 649, 2832, 547, 1683, 513, 3102, 7650, 540, 30250, 19699, 781, 1761, 2640, 543, 2591, 538, 4207, 2518, 12602, 780, 2162, 1548, 568, 4578, 5937, 337, 1508, 17423, 5336, 1136, 2496, 4263, 922, 4295, 267, 30250, 19699, 4016, 547, 513, 9836, 1184, 540, 11018, 267, 7421, 267, 543, 16208, 1239, 547, 1217, 3375 ]

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

[ 5507, 267, 3733, 518, 6428, 16120, 543, 1010, 7385, 5795, 4332, 547, 3220, 269, 4414, 743, 858, 324, 26637, 6428, 16120, 945, 9310, 715, 2088, 267, 519, 8250, 540, 14880, 16026, 538, 476, 5002, 272, 543, 945, 6039, 607, 519, 10615, 540, 11202, 1670, 4659, 540, 519, 5507, 11233, 563, 6942, 276, 281, 17510, 11845, 540, 717, 1068, 337, 8775, 5754, 2006, 945, 607, 717, 1068, 337, 8775, 17054, 1633, 518, 9310, 30486, 15751, 15724, 752, 563, 6942, 276, 281, 968, 763, 7642, 540, 12493, 892, 799, 1101, 7902, 538, 5839, 17524, 534, 779, 18225, 543, 729, 1065, 21242, 2221, 2488, 513, 5618, 1686, 540, 519, 7642, 540, 602, 851, 540, 4789, 4098, 609, 519, 2530, 540, 851, 540, 14951, 602, 1185, 20705, 547, 26826, 540, 12493, 538, 476, 14093, 278, 950, 930, 540, 519, 3751, 779, 9635, 941, 3141, 330, 1282, 513, 22116, 1394, 547, 11870, 22929, 269, 6145, 519, 7642, 540, 3840, 267, 22118, 333, 543, 853, 600, 5112, 267, 519, 7642, 540, 12493, 1185, 1044, 1793, 664, 543, 726, 1495, 1229, 676, 1762, 2296, 2006, 945, 941, 2469, 547, 3751, 9400, 593, 1010, 12724, 1228, 547, 519, 10513, 8092, 269, 634, 7642, 540, 12493, 723, 519, 3606, 3965, 540, 519, 26718, 13615, 670, 7676, 540, 12493, 267, 519, 4168, 1126, 4171, 2669, 8507, 538, 519, 1101, 1973, 5391, 601, 538, 519, 3703, 1772, 956, 563, 6942, 279, 263, 3066, 628, 540, 4432, 592, 267, 476, 4649, 275, 278, 2567, 661, 516, 341, 681, 9655, 25300, 534, 1695, 454, 6942, 280, 281, 769, 8303, 267, 25447, 31066, 12138, 25347, 6199, 543, 1010, 7385, 5795, 4332, 547, 1148, 21689, 543, 14787, 700, 2946, 517, 576, 25347, 6199, 945, 729, 519, 7015, 540, 19922, 8227, 6754, 25347, 6199, 563, 6942, 280, 281, 589, 1804, 1297, 540, 1715, 3840, 779, 1034, 7986, 7642, 13984, 713, 6640, 779, 24133, 585, 15182, 731, 22757, 25206, 648, 267, 519, 683, 15343, 342, 540, 11184, 15584, 22757, 25206, 648, 269, 15887, 6798, 29775, 822, 20944, 1492, 559, 6815, 7007, 693, 519, 2533, 799, 941, 4371, 693, 13527, 661, 2006, 340, 7232, 331, 269, 11153, 540, 519, 2749, 779, 14558, 529, 13984, 1519, 3220, 269, 12253, 661, 514, 1817, 333, 267, 670, 2529, 269, 10496, 10849, 267, 15656, 1520, 2401, 267, 670, 2529, 269, 21469, 338, 543, 26826, 29216, 269, 22757, 25206, 648, 779, 30756, 514, 729, 3144, 547, 519, 9399, 2826, 2335, 545, 799, 786, 1491, 621, 1394, 547, 4789, 585, 3803, 954, 618, 269, 22757, 25206, 648, 1185, 2097, 547, 519, 2136, 2276, 547, 1353, 519, 14081, 534, 1514, 543, 2797, 5238, 602, 723, 2919, 538, 519, 2136, 2276, 865, 602, 646, 1223, 2328, 827, 873, 585, 1010, 8284, 2296, 2006, 269, 3807, 1991, 547, 1010, 2669, 267, 519, 8648, 540, 5507, 1185, 3370, 606, 2376, 540, 1010, 827, 519, 2290, 5866, 7991, 563, 6642, 271, 281, 769, 1715, 3840, 267, 7128, 18486, 631, 2088, 18671, 618, 15595, 267, 585, 1200, 1909, 538, 1200, 9393, 779, 2238, 602, 3769, 535, 9760, 21687, 5370, 563, 6642, 272, 281, 590, 20672, 325, 3072, 717, 9529, 577, 28704, 729, 12912, 513, 7548, 693, 519, 2160, 540, 5899, 553, 7921, 1107, 513, 2990, 646, 1131, 711, 2965, 6445, 1813, 547, 519, 7092, 3361, 676, 968, 4944, 1400, 4616, 267, 519, 2068, 799, 8694, 1010, 1272, 3034, 6642, 272, 281, 898, 729, 4080, 2221, 602, 621, 814, 1044, 6069, 538, 6576, 968, 1729, 6966, 2199, 862, 3827, 547, 2015, 519, 6014, 2243, 538, 4025, 1141, 7642, 2392, 558, 3729, 3034, 6642, 272, 281, 4340, 547, 513, 2689, 540, 3776, 2817, 885, 676, 6276, 12844, 19213, 267, 30683, 3780, 267, 519, 13653, 540, 519, 30683, 2103, 968, 13195, 15982, 609, 15584, 3034, 6642, 273, 281, 5822, 543, 3803, 1554, 540, 519, 1101, 4139, 14640, 4149, 655, 12792, 6837, 799, 729, 5870, 538, 667, 637, 6577, 896, 519, 5718, 540, 1234, 3164, 526, 29747, 853, 4141, 14982, 563, 6642, 274, 281, 9478, 18671, 618, 15595, 267, 519, 30626, 605, 1661, 540, 519, 8274, 540, 11565, 4315, 540, 2701, 15162, 5840, 1767, 602, 519, 4666, 6674, 799, 814, 6854, 519, 4604, 689, 7446, 513, 1007, 5518, 568, 711, 3361, 676, 2192, 2914, 650, 1851, 519, 2818, 543, 602, 646, 1131, 538, 1249, 899, 547, 6445, 519, 5604, 269, 634, 4666, 6674, 6818, 1317, 972, 616, 3670, 3972, 4315, 543, 519, 30798, 568, 6236, 4657, 922, 676, 25237, 547, 2333, 602, 1297, 547, 476, 278, 799, 786, 1439, 519, 17063, 16018, 540, 519, 2063, 1896, 3275, 563, 6642, 274, 281, 898, 729, 4080, 2221, 602, 538, 21640, 267, 968, 1492, 21674, 540, 26751, 345, 27146, 814, 9783, 513, 29009, 4484, 538, 799, 646, 32141, 602, 4035, 1532, 320, 1746, 568, 1034, 17946, 2077, 1014, 563, 6642, 274, 263, 1015, 628, 540, 4432, 592, 267, 476, 276, 5038, 274, 264, 27535, 590, 4869, 344, 31644, 1032, 2025, 2997, 549, 327, 558, 962, 320, 752, 990, 17054, 2006, 267, 519, 5067, 540, 15887, 6798, 962, 529, 5361, 17054, 2006, 540, 681, 15120, 1506, 333, 267, 945, 729, 519, 1101, 1234, 321, 2041, 540, 519, 19759, 580, 3120, 13201, 573, 545, 15913, 5293, 2476, 2221, 563, 6642, 275, 281, 4317, 30168, 6307, 631, 269, 28137, 4843, 968, 320, 1957, 593, 12355, 1347, 885, 892, 547, 519, 1977, 4317, 5948, 892, 1141, 968, 527, 729, 3870, 2406, 4607, 267, 5941, 543, 3370, 3034, 6642, 278, 281, 17510, 11845, 540, 15656, 12138, 6431, 5652, 519, 5065, 540, 6576, 945, 6410, 547, 1715, 670, 13273, 538, 476, 6245, 271, 1141, 646, 2968, 513, 15818, 543, 19784, 563, 6245, 271, 281, 17510, 11845, 540, 21125, 3733, 518, 968, 22069, 892, 654, 4669, 29992, 267, 519, 1715, 3840, 5065, 945, 2968, 513, 3811, 7260, 16073, 563, 6245, 271, 281, 9478, 20607, 344, 267, 513, 9621, 1762, 6014, 18607, 945, 814, 6039, 593, 519, 8274, 540, 8111, 341, 2888, 568, 5275, 519, 9930, 1588, 585, 519, 12059, 13909, 10588, 454, 6245, 271, 281, 6004, 269, 631, 269, 1763, 1074, 4752, 267, 513, 6014, 19366, 689, 12996, 568, 2324, 538, 1715, 3840, 4975, 1247, 32261, 585, 519, 2132, 540, 1010, 7385, 543, 1453, 689, 12996, 269, 1358, 1185, 1044, 2366, 1394, 547, 2342, 1317, 540, 606, 5470, 693, 519, 645, 1618, 5604, 543, 621, 814, 3144, 519, 1655, 3646, 540, 519, 2136, 12355, 4077, 885, 543, 519, 31297, 12677, 13268, 564, 7412, 547, 1198, 519, 14232, 22653, 542, 563, 6245, 272, 281, 769, 606, 21107, 634, 5507, 8648, 26916, 519, 10325, 540, 968, 289, 16336, 670, 15077, 577, 585, 3935, 1944, 538, 3013, 519, 7642, 585, 7247, 972, 568, 1100, 1747, 538, 2342, 602, 621, 568, 519, 1034, 7415, 10325, 540, 519, 2186, 2479, 13986, 676, 4052, 2367, 1848, 634, 8648, 4718, 713, 607, 606, 1383, 540, 6014, 3401, 547, 892, 6108, 2724, 607, 1252, 3585, 607, 789, 666, 18645, 621, 3034, 6245, 272, 281, 968, 8624, 517, 1944, 519, 7642, 892, 3370, 2221, 10530, 519, 5507, 8648, 607, 6031, 602, 968, 1492, 10325, 540, 31578, 670, 15077, 577, 585, 3935, 1944, 538, 3013, 519, 7642, 585, 972, 568, 1100, 1747, 538, 2342, 2507, 529, 519, 1034, 7415, 10325, 540, 519, 2186, 2479, 13986, 676, 4052, 2367, 3034, 6245, 273, 281, 769, 1715, 3840, 267, 594, 6767, 808, 777, 515, 543, 15656, 12928, 641, 325, 5795, 4332, 547, 21238, 589, 269, 12928, 641, 325, 267, 13653, 540, 21238, 12928, 641, 325, 267, 5549, 1421, 519, 4583, 1977, 13629, 2777, 269, 968, 3891, 4682, 547, 2852, 547, 1831, 513, 15818, 267, 855, 646, 8593, 538, 2648, 609, 3332, 543, 4956, 547, 25058, 1010, 1272, 547, 621, 269, 2311, 519, 942, 267, 519, 13629, 1158, 729, 513, 2186, 540, 9543, 5443, 781, 8630, 543, 12928, 641, 325, 1185, 513, 2182, 942, 17501, 538, 1317, 646, 729, 6014, 269, 1261, 729, 519, 1101, 6014, 9441, 693, 8935, 16940, 599, 269, 2290, 540, 1010, 1101, 3785, 729, 547, 1065, 889, 1501, 782, 540, 9478, 1230, 2784, 781, 2835, 538, 513, 1305, 267, 799, 646, 1705, 609, 519, 948, 540, 670, 11482, 269, 9093, 1188, 523, 269, 2311, 519, 942, 602, 12928, 641, 325, 3893, 883, 519, 13629, 1870, 267, 1354, 8613, 543, 7839, 5925, 267, 1004, 1767, 602, 4892, 4769, 1405, 1224, 2835, 9789, 344, 1175, 1224, 519, 14786, 269, 12928, 641, 325, 2219, 602, 4892, 1522, 581, 811, 2693, 547, 1224, 1434, 2835, 952, 2835, 941, 4190, 547, 1413, 693, 269, 1261, 1031, 4190, 267, 2653, 547, 1224, 1826, 543, 1164, 2298, 1957, 267, 543, 646, 729, 519, 1101, 17404, 547, 3382, 1010, 2835, 609, 29116, 11954, 13544, 1115, 269, 1879, 12928, 641, 325, 8547, 1010, 1378, 13629, 2754, 267, 646, 4769, 1405, 723, 2614, 2724, 547, 15476, 2462, 268, 4067, 1977, 4589, 267, 865, 646, 3370, 3864, 4589, 3079, 269, 4107, 1977, 21101, 4769, 1405, 1416, 827, 3864, 3332, 267, 865, 12928, 641, 325, 729, 2111, 547, 10464, 569, 15476, 5830, 899, 7338, 28553, 267, 30686, 918, 2378, 6390, 267, 543, 15751, 6682, 639, 269, 1879, 1896, 540, 1010, 4589, 4465, 519, 17587, 15356, 585, 9085, 267, 21238, 589, 269, 12928, 641, 325, 5549, 269, 2968, 1634, 607, 835, 540, 519, 1655, 5339, 13629, 8075, 1848, 898, 729, 1010, 6014, 7385, 2349, 534, 3832, 16423, 12928, 641, 325, 945, 9415, 1864, 547, 1246, 1010, 5326, 543, 1376, 1010, 1378, 13629, 2777, 269, 2701, 729, 811, 982, 1175, 513, 17869, 548, 14575, 269, 2701, 729, 5518, 540, 21238, 589, 269, 12928, 641, 325, 267, 1247, 1200, 9393, 6039, 607, 28579, 540, 519, 4604, 269, 2701, 6956, 519, 13629, 543, 729, 513, 6117, 3196, 3297, 1082, 540, 922, 2101, 10781, 269, 4014, 519, 13629, 2754, 729, 4421, 538, 519, 476, 3422, 271, 781, 621, 3788, 607, 513, 1634, 29501, 547, 713, 1554, 269, 2349, 534, 3832, 5747, 538, 476, 3422, 277, 269, 21238, 12928, 641, 325, 5293, 2476, 538, 476, 2735, 275, 563, 6245, 273, 281, 2986, 519, 476, 2568, 273, 27464, 720, 15915, 945, 1305, 13743, 689, 20506, 23051, 2221, 20829, 519, 9399, 18518, 616, 968, 320, 18797, 6739, 543, 14470, 7642, 892, 945, 6170, 12964, 2395, 538, 519, 2296, 2823, 968, 3602, 741, 28945, 543, 9126, 16372, 941, 21149, 539, 892, 607, 851, 540, 519, 8942, 547, 2057, 513, 26601, 5028, 12176, 563, 6245, 274, 263, 273, 526, 540, 570, 880, 516, 328, 267, 476, 276, 4792, 275, 2567, 2201, 519, 5822, 4303, 540, 681, 9655, 25300, 534, 1695, 968, 1492, 12355, 7239, 892, 540, 1715, 3840, 968, 338, 550, 2507, 534, 11606, 540, 29535, 9313, 892, 547, 968, 1492, 6014, 11082, 1033, 7134, 693, 32762, 6816, 3034, 6245, 274, 281, 968, 5445, 9701, 2142, 1401, 7672, 892, 3370, 2221, 2882, 32461, 689, 519, 1867, 676, 13149, 11233, 13163, 28018, 528, 267, 3220, 269, 29918, 12121, 945, 4330, 519, 7642, 607, 1373, 851, 540, 519, 968, 1495, 525, 10928, 1362, 540, 11082, 2507, 15367, 616, 513, 4158, 267, 2220, 14390, 344, 5198, 609, 1279, 4158, 796, 651, 332, 696, 4552, 1848, 769, 1840, 547, 799, 968, 1492, 7642, 786, 711, 3548, 1426, 5423, 676, 10271, 267, 3142, 741, 1426, 609, 873, 543, 713, 1426, 568, 1034, 2693, 547, 2270, 26601, 5028, 17900, 1848, 630, 1103, 1769, 540, 519, 11776, 6370, 8151, 538, 519, 2136, 2276, 267, 519, 18939, 540, 713, 24379, 1362, 1522, 798, 1134, 547, 2628, 2673, 3007, 547, 713, 994, 6245, 275, 281, 14062, 13983, 839, 3966, 945, 267, 2687, 547, 6014, 2245, 267, 1185, 711, 2938, 519, 1560, 540, 1010, 7385, 1354, 1200, 19746, 4682, 547, 18301, 6019, 11233, 19101, 602, 789, 1185, 2016, 1864, 519, 4636, 1560, 543, 14053, 602, 789, 2285, 1864, 1010, 7385, 282, 513, 3409, 602, 519, 6413, 17792, 563, 6245, 276, 263, 2537, 6113, 540, 4432, 592, 267, 476, 276, 4792, 276, 2567, 17823, 1399, 1032, 2025, 12672, 14551, 6301, 10045, 945, 3357, 547, 519, 2136, 2276, 476, 1839, 1296, 3516, 543, 3323, 2324, 538, 519, 12948, 1870, 5293, 2476, 269, 589, 4759, 540, 519, 12924, 10345, 2094, 476, 6942, 280, 646, 814, 1044, 8362, 3238, 609, 519, 31578, 632, 670, 15077, 577, 8750, 267, 519, 12355, 14502, 4659, 543, 519, 12355, 12409, 19137, 563, 6245, 276, 281, 968, 23219, 9737, 5565, 1809, 7129, 892, 3370, 2221, 4330, 513, 6370, 1063, 1079, 15712, 8402, 590, 1715, 2006, 543, 15656, 700, 755, 321, 14575, 799, 3769, 25197, 725, 676, 1142, 602, 519, 824, 729, 9513, 911, 604, 630, 12061, 11860, 657, 615, 264, 5779, 543, 19101 ]

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

[ 3009, 269, 1280, 513, 1804, 11015, 267, 713, 1223, 1491, 513, 1247, 269, 769, 971, 513, 11015, 2507, 1403, 707, 6085, 3096, 606, 3239, 607, 519, 2626, 630, 7945, 607, 6061, 513, 28618, 267, 3092, 264, 596, 666, 1331, 519, 2262, 834, 13548, 257, 3079, 540, 1210, 513, 24401, 8814, 11090, 269, 2353, 4267, 2408, 693, 519, 1439, 540, 713, 2985, 269, 769, 513, 6093, 11015, 267, 972, 568, 513, 835, 3562, 14633, 19359, 1063, 2560, 2480, 2651, 1524, 585, 513, 23319, 543, 2417, 1524, 585, 519, 2626, 269, 4841, 3313, 799, 8870, 2418, 2099, 2016, 5022, 538, 6939, 15162, 332, 269, 769, 6939, 541, 10379, 1966, 267, 519, 9704, 630, 271, 268, 280, 264, 1205, 2655, 21114, 676, 930, 2009, 26897, 610, 6698, 269, 2659, 2816, 568, 547, 2048, 28755, 1188, 519, 3009, 8730, 865, 547, 3717, 267, 547, 1265, 856, 1018, 568, 519, 7857, 602, 1142, 5022, 2099, 269, 15303, 541, 10379, 9046, 269, 9137, 676, 10658, 26072, 547, 7179, 269, 4595, 267, 1142, 4484, 538, 519, 6939, 15162, 332, 4564, 835, 540, 519, 9704, 476, 271, 998, 476, 280, 267, 865, 676, 4946, 519, 9704, 267, 621, 666, 3132, 513, 1079, 7857, 1297, 689, 476, 1015, 547, 476, 866, 269, 15303, 15162, 916, 269, 1656, 865, 634, 10658, 14794, 19964, 616, 4535, 256, 589, 6939, 541, 10379, 11015, 568, 513, 1297, 11015, 538, 799, 513, 1895, 540, 818, 603, 5471, 673, 4238, 814, 930, 610, 782, 540, 922, 9704, 8719, 676, 5022, 610, 6698, 267, 543, 1141, 519, 3355, 9704, 1590, 581, 1336, 269, 769, 1250, 6939, 15162, 332, 267, 972, 616, 476, 1015, 5022, 281, 595, 267, 744, 267, 700, 267, 631, 267, 589, 267, 570, 267, 670, 267, 645, 267, 717, 267, 543, 661, 269, 4635, 476, 1015, 9704, 3947, 476, 274, 267, 277, 2764, 267, 8517, 2009, 32545, 269, 1703, 616, 519, 9238, 540, 6939, 541, 10379, 2042, 602, 835, 1590, 917, 269, 2608, 2608, 2608, 2608, 2608, 2608, 2608, 8382, 281, 10658, 14794, 513, 4303, 589, 1007, 11015, 267, 678, 1497, 267, 3014, 610, 4277, 22619, 4226, 11540, 1169, 1554, 269, 1403, 519, 1482, 4484, 4386, 811, 982, 2899, 267, 621, 1590, 581, 8655, 519, 1482, 7857, 1142, 942, 269, 589, 696, 3363, 2055, 609, 3435, 269, 769, 1022, 2013, 267, 519, 7366, 7857, 538, 519, 2040, 267, 6719, 676, 645, 538, 938, 1383, 267, 1590, 581, 476, 272, 269, 18937, 5984, 299, 18937, 5984, 299, 589, 6939, 15162, 332, 568, 1175, 513, 2979, 11015, 610, 513, 2979, 678, 1497, 269, 6333, 519, 1739, 6939, 15162, 332, 11015, 269, 589, 2241, 1383, 540, 21229, 12185, 678, 1497, 568, 1323, 4367, 547, 11015, 6061, 267, 29395, 543, 8100, 281, 1325, 874, 600, 2045, 10658, 14794, 3752, 591, 16534, 21229, 600, 7497, 538, 8454, 540, 513, 2034, 281, 1325, 874, 600, 2045, 10658, 14794, 31098, 5269, 707, 1378, 21229, 600, 7497, 676, 519, 19421, 281, 7734, 589, 14951, 540, 6939, 15162, 332, 2835, 281, 25103, 589, 3391, 547, 519, 1655, 10070, 540, 21229, 600, 7497, 593, 519, 5680, 15303, 15162, 332, 568, 513, 9135, 540, 6310, 13410, 538, 799, 519, 9704, 616, 8719, 676, 5022, 540, 519, 9904, 610, 824, 6698, 269, 1703, 616, 1079, 1913, 616, 2016, 543, 1776, 2262, 568, 2016, 606, 2626, 540, 1840, 585, 1346, 1079, 1913, 269, 589, 6939, 15162, 332, 568, 513, 1826, 540, 6310, 11015, 538, 799, 1034, 610, 782, 540, 519, 9704, 538, 513, 6310, 4082, 267, 971, 607, 513, 2040, 267, 616, 2655, 21114, 676, 5022, 610, 824, 6698, 269, 3767, 267, 1934, 779, 513, 3391, 547, 4194, 1346, 7294, 2042, 269, 594, 2877, 547, 1711, 930, 13410, 799, 941, 1187, 267, 543, 4769, 1406, 2154, 1022, 7463, 6310, 1702, 269, 667, 1824, 1796, 585, 513, 8918, 1448, 269, 1306, 594, 6557, 513, 10178, 540, 6939, 15162, 916, 543, 519, 10554, 3576, 1747, 538, 28631, 267, 594, 2813, 519, 1739, 11015, 269, 1656, 8259, 596, 917, 930, 1344, 538, 4434, 2443, 971, 607, 3347, 827, 1978, 5022, 2443, 543, 1982, 873, 883, 707, 6296, 267, 596, 4076, 3893, 547, 1449, 1169, 835, 269, 589, 2442, 1826, 540, 13410, 616, 1650, 13410, 269, 31598, 782, 596, 991, 568, 513, 2565, 1523, 281, 5903, 782, 2338, 2009, 585, 519, 4137, 543, 9004, 873, 835, 676, 835, 269, 3143, 1079, 1114, 5022, 949, 581, 8655, 519, 1482, 7857, 269, 1323, 2079, 540, 519, 3312, 11015, 6700, 519, 2489, 1505, 540, 6061, 513, 5266, 2241, 6939, 15162, 332, 281, 769, 519, 2034, 9864, 1587, 667, 6398, 589, 815, 667, 267, 8754, 589, 815, 476, 272, 269, 667, 6398, 595, 543, 661, 6398, 595, 1312, 1439, 538, 595, 282, 2094, 585, 1022, 1079, 9704, 476, 272, 1700, 280, 519, 1152, 2789, 602, 786, 3132, 713, 1267, 568, 2560, 15303, 15162, 332, 6096, 269, 769, 713, 6939, 15162, 332, 4976, 267, 1053, 4194, 476, 272, 2110, 2626, 1966, 269, 2913, 779, 1413, 693, 513, 1360, 2241, 21229, 600, 2045, 281, 19294, 266, 10933, 284, 289, 7417, 634, 4484, 645, 1590, 2099, 519, 7857, 476, 272, 267, 2094, 950, 596, 1039, 1079, 476, 273, 18251, 2338, 596, 3112, 7654, 1205, 513, 1297, 3677, 982, 476, 2735, 269, 898, 786, 1491, 1454, 942, 547, 1174, 891, 607, 891, 2042, 616, 2182, 865, 581, 3461, 543, 2285, 942, 547, 519, 6810, 543, 519, 3652, 540, 15303, 541, 10379, 17943, 267, 15303, 541, 10379, 5999, 269, 589, 1434, 1383, 568, 519, 3046, 828, 6300, 11015, 269, 7591, 9457, 332, 785, 23893, 10794, 7591, 1744, 17470, 4537, 334, 269, 630, 8450, 519, 4137, 2630, 4700, 898, 4422, 899, 713, 281, 834, 288, 2845, 6509, 609, 930, 942, 547, 6146, 538, 513, 1507, 4884, 4956, 547, 1205, 513, 688, 1844, 583, 269, 6732, 9498, 269, 15303, 15162, 332, 269, 1809, 267, 519, 2626, 568, 4947, 607, 744, 267, 799, 1797, 972, 1590, 581, 513, 4163, 689, 3105, 1900, 282, 1924, 267, 670, 1341, 476, 272, 12958, 513, 1297, 3436, 1015, 607, 1267, 568, 595, 744, 282, 1924, 267, 670, 1871, 568, 476, 280, 267, 543, 744, 1871, 786, 581, 670, 1341, 476, 272, 815, 476, 280, 1341, 476, 272, 815, 476, 271, 630, 272, 4163, 547, 1985, 1900, 264, 556, 8586, 519, 1966, 1586, 9747, 267, 519, 9937, 7857, 786, 581, 4163, 4464, 547, 519, 1985, 6241, 269, 15303, 15162, 916, 616, 2634, 29225, 619, 5833, 950, 9704, 538, 10230, 9273, 723, 1044, 8719, 676, 5022, 269, 6733, 338, 899, 2233, 8649, 29709, 547, 1331, 602, 3063, 2783, 538, 741, 476, 1001, 275, 1065, 11781, 540, 519, 11015, 269, 10658, 14794, 476, 13199, 15303, 15162, 332, 282, 10658, 14794, 476, 14338, 1323, 8183, 282, 10658, 14794, 476, 14096, 8562, 983, 2549, 874, 30965, 831, 282, 10658, 14794, 476, 15782, 17813, 2961, 667, 31034, 282, 10658, 14794, 476, 14530, 15303, 15162, 332, 282, 10658, 14794, 476, 15836, 6520, 9046, 282, 10658, 14794, 476, 15946, 15303, 6945, 282, 10658, 14794, 476, 16928, 14301, 24436, 282, 10658, 14794, 476, 15221, 15303, 15162, 332, 282, 10658, 14794, 476, 16960, 13379, 13809, 5358, 282, 10658, 14794, 476, 13893, 4258, 1087, 10658, 14794, 4595, 631, 543, 661, 616, 1079, 1114, 2338, 267, 789, 786, 6157, 581, 1256, 4130, 982, 476, 4200, 256, 7102, 1840, 267, 12408, 267, 8691, 267, 610, 6498, 1966, 666, 1831, 513, 6939, 15162, 332, 676, 13868, 519, 2338, 609, 5022, 267, 855, 519, 3283, 602, 1053, 543, 11015, 21962, 3100, 547, 2972, 519, 1034, 616, 1346, 602, 946, 1913, 602, 616, 4448, 538, 930, 1259, 269, 5851, 282, 6168, 282, 9612, 269, 634, 1843, 568, 547, 960, 856, 799, 2338, 5330, 547, 1142, 4484, 269, 6695, 3667, 346, 301, 12114, 348, 1422, 9392, 1422, 3667, 346, 8025, 12767, 348, 815, 1422, 3667, 346, 20911, 308, 293, 348, 1422, 9392, 1422, 3667, 346, 307, 4629, 3041, 6525, 1548, 568, 519, 1267, 540, 519, 8691, 286, 20603, 10632, 269, 6145, 922, 4408, 820, 267, 621, 568, 513, 2241, 14238, 1505, 1317, 649, 666, 1406, 4194, 891, 2042, 14678, 8259, 649, 3314, 519, 4267, 269, 15303, 15162, 332, 568, 6310, 11015, 538, 799, 519, 3804, 568, 547, 21264, 606, 12980, 1966, 538, 799, 5022, 723, 1044, 2655, 21114, 585, 10230, 9704, 269, 17949, 3054, 8206, 1452, 2042, 2154, 1236, 559, 995, 946, 540, 7954, 267, 1299, 519, 1702, 540, 1297, 3069, 1299, 7223, 269, 15303, 15162, 916, 267, 3006, 1634, 607, 21229, 600, 7497, 267, 616, 13410, 1141, 596, 616, 2016, 606, 818, 603, 5471, 673, 4082, 1141, 519, 9704, 723, 1044, 8719, 676, 5022, 267, 1142, 7857, 513, 1114, 4484, 269, 2608, 2608, 2608, 2608, 2608, 2608, 2608, 1849, 826, 281, 667, 284, 476, 278, 543, 661, 284, 476, 276, 269, 7756, 9704, 616, 1114, 5022, 269, 634, 1482, 4484, 6763, 585, 519, 1482, 7857, 2429, 519, 11015, 269, 11426, 3320, 267, 3982, 5022, 1796, 585, 1114, 9704, 269, 634, 4305, 540, 2870, 513, 6939, 15162, 6193, 11015, 568, 2352, 1299, 513, 4101, 835, 269, 513, 476, 273, 1341, 513, 476, 273, 536, 513, 513, 476, 276, 1341, 476, 275, 513, 536, 476, 279, 476, 14530, 269, 513, 284, 13090, 536, 284, 13090, 476, 15171, 269, 513, 284, 13090, 536, 284, 13090, 536, 513, 476, 276, 1341, 524, 476, 277, 476, 276, 476, 280, 536, 513, 536, 513, 513, 1341, 536, 476, 275, 476, 273, 513, 2073, 524, 536, 476, 274, 476, 15836, 269, 589, 812, 540, 5132, 11564, 519, 13411, 2244, 1141, 1614, 11454, 616, 25517, 538, 513, 4737, 5356, 513, 30642, 2820, 6541, 547, 519, 1747, 269, 3689, 267, 594, 3580, 2671, 519, 1614, 13410, 1455, 547, 782, 1614, 733, 3949, 269, 25827, 10658, 26072, 543, 11020, 1855, 553, 619, 609, 12226, 281, 2608, 10658, 26072, 6825, 609, 2608, 616, 10084, 20308, 10658, 26072, 269, 1325, 874, 600, 2045, 13410, 609, 4267, 1496, 14457, 316, 1325, 874, 600, 2045, 10658, 26072, 267, 1325, 874, 600, 2045, 10658, 26072, 616, 513, 1826, 540, 6310, 11015, 538, 799, 519, 9704, 538, 634, 2626, 568, 513, 476, 274, 7857, 1297, 865, 645, 1341, 476, 272, 1590, 1039, 547, 3436, 476, 280, 865, 972, 568, 513, 835, 5645, 269, 901, 568, 513, 6939, 15162, 332, 11015, 594, 1336, 538, 513, 6310, 16311, 538, 476, 1220, 275, 269, 769, 513, 6093, 11015, 267, 519, 1482, 4484, 610, 3090, 2141, 4564, 519, 1482, 7857, 269, 1280, 1383, 267, 952, 649, 3651, 519, 3197, 4358, 689, 519, 835, 779, 1747, 543, 3001, 547, 519, 2451, 267, 693, 1142, 3942, 267, 649, 666, 13182, 519, 2953, 1145, 540, 1018, 649, 723, 865, 2484, 1354, 649, 3136, 27477, 269, 15303, 15162, 916, 267, 610, 7638, 4472, 12980, 267, 616, 18839, 13410, 1141, 5022, 2099, 2189, 9704, 15545, 476, 16328, 269, 513, 284, 13090, 536, 284, 13090, 524, 284, 13090, 513, 284, 13090, 536, 284, 13090, 524, 284, 13090, 536, 513, 476, 279, 1341, 536, 513, 476, 279, 594, 1265, 519, 2012, 3617, 1317, 1142, 11015, 3322, 2542, 610, 6947, 547, 513, 1650, 543, 1287, 6061, 519, 1966, 269, 9612, 585, 281, 589, 15303, 15162, 332, 269, 6423, 4267, 11020, 569, 14871, 11020, 569, 14871, 589, 6939, 15162, 332, 568, 606, 12980, 11015, 538, 799, 1142, 7857, 540, 513, 4909, 5106, 568, 8655, 513, 17386, 4484, 607, 538, 513, 3009, 269, 2353, 13410, 941, 7318, 547, 1118, 2386, 789, 666, 581, 12193, 676, 1688, 543, 616, 11231, 538, 476, 274, 1114, 6688, 281, 1325, 874, 600, 7497, 282, 15303, 15162, 916, 910, 7043, 11638, 4124, 282, 15303, 15162, 916, 910, 7043, 6555, 2888, 282, 3962, 7121, 10525, 922, 13410, 538, 26799, 1931, 540, 7411, 269, 9509, 3259, 23769, 4255, 585, 570, 5425, 543, 824, 8668, 3549, 269, 634, 4484, 645, 1590, 2099, 519, 7857, 476, 272, 267, 2094, 950, 596, 1039, 1079, 476, 273, 18251, 2338, 596, 3112, 7654, 1205, 513, 1297, 3677, 982, 476, 2735, 269, 15303, 15162, 916, 616, 6310, 13410, 538, 799, 519, 9704, 538, 606, 12980, 4082, 616, 8719, 676, 5022, 540, 519, 9904, 269, 1215, 547, 4194, 15303, 541, 10379, 10658, 26072, 286, 11905, 281, 834, 19340, 547, 19556, 10819, 476, 3192, 276, 268, 3192, 280, 267, 12995, 676, 26304, 15887, 514, 578, 6308, 267, 4460, 14332, 1258, 2580, 10223, 9553, 269, 476, 279, 1341, 536, 513, 476, 279, 1341, 536, 513, 476, 279, 6732, 9498, 594, 1265, 2012, 269, 634, 2497, 540, 519, 11015, 2042, 476, 3192, 276, 268, 3192, 280, 267, 12995, 676, 26304, 15887, 514, 578, 6308, 267, 4460, 15234 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3444, 23811, 781, 991, 454, 825, 2132, 910, 339, 25403, 28802, 12169, 318, 1002, 3052, 1430, 263, 272, 267, 586, 269, 1613, 8987, 272, 267, 476, 272, 21875, 0, 454, 3698, 1205, 5091, 13424, 28840, 267, 562, 2187, 825, 2132, 1297, 12262, 476, 1015, 1262, 333, 4939, 476, 1015, 7531, 339, 787, 912, 825, 7127, 10831, 815, 703, 9272, 2891, 8923, 4283, 513, 3556, 1297, 281, 27328, 825, 3259, 2414, 18360, 815, 1193, 263, 18782, 10831, 994, 825, 3259, 815, 7003, 10857, 2654, 2414, 18360, 994, 825, 2040, 272, 815, 476, 271, 454, 825, 2040, 273, 815, 476, 271, 692, 825, 1101, 291, 13424, 815, 630, 842, 263, 18782, 10831, 1315, 630, 1015, 1262, 263, 26319, 268, 272, 4297, 4917, 825, 1101, 10521, 291, 13424, 815, 630, 842, 263, 18782, 10831, 1315, 630, 1015, 1262, 263, 26319, 268, 273, 4297, 11723, 825, 585, 1535, 538, 2039, 10857, 2654, 2187, 1038, 952, 1535, 260, 273, 2652, 476, 271, 912, 2018, 2040, 272, 6834, 1205, 5091, 13424, 263, 18782, 10831, 267, 1535, 2020, 1038, 952, 1535, 260, 273, 2652, 476, 272, 912, 2018, 1205, 19617, 815, 1205, 5091, 13424, 263, 18782, 10831, 267, 1535, 12684, 273, 454, 2018, 952, 1205, 19617, 3436, 476, 280, 912, 3546, 2040, 273, 815, 2040, 273, 1341, 1205, 5091, 13424, 263, 1326, 19617, 267, 476, 271, 264, 1341, 1205, 5091, 13424, 263, 1326, 19617, 267, 476, 272, 994, 2018, 3116, 912, 3546, 2040, 273, 815, 2040, 273, 1341, 1205, 19617, 692, 825, 3803, 11764, 815, 2040, 272, 1341, 2040, 273, 692, 825, 952, 1205, 5091, 13424, 6600, 1400, 11764, 267, 476, 271, 264, 2652, 476, 271, 912, 1038, 1820, 2891, 11749, 573, 9315, 543, 519, 3556, 1826, 568, 281, 1422, 333, 5602, 1038, 1820, 10857, 2654, 994, 1038, 952, 476, 1321, 2999, 3259, 2999, 476, 1704, 912, 2018, 1948, 6250, 320, 476, 1724, 547, 476, 1626, 9704, 6238, 609, 476, 275, 454, 2018, 952, 1101, 291, 13424, 2652, 476, 275, 912, 3546, 1820, 2891, 309, 13453, 5602, 2018, 1948, 2549, 1410, 476, 1428, 9704, 267, 6238, 609, 476, 4097, 543, 476, 4391, 454, 2018, 952, 3259, 2652, 476, 1428, 543, 630, 14140, 10521, 291, 13424, 2652, 476, 4097, 610, 1101, 10521, 291, 13424, 2652, 476, 4391, 2187, 3546, 1820, 2891, 4456, 13052, 5602, 2018, 1948, 9457, 9315, 476, 1626, 9704, 267, 6238, 609, 476, 7906, 547, 476, 4649, 454, 2018, 952, 3259, 2652, 476, 1626, 543, 630, 2004, 2999, 1101, 10521, 291, 13424, 2999, 476, 6321, 2187, 3546, 1820, 2891, 22913, 9315, 15419, 825, 3116, 912, 1038, 1820, 2891, 1103, 20777, 9315, 5602, 21955, 28759, 912, 825, 1820, 2891, 8923, 4283, 513, 4570, 2338, 15419, 0, 26611, 23591, 24800, 270, 7090, 454, 258, 16344, 17575, 281, 1362, 14818, 4905, 18258, 692, 5035, 12287, 912, 453, 28134, 815, 476, 271, 692, 22592, 6449, 8181, 9191, 1345, 267, 2012, 2187, 453, 19677, 20508, 815, 2012, 454, 453, 453, 31094, 21014, 1637, 6834, 476, 272, 692, 22592, 6449, 23437, 9191, 1345, 2187, 453, 453, 31094, 21014, 1637, 20699, 476, 272, 454, 453, 14851, 12287, 21014, 1637, 2652, 476, 271, 912, 4848, 13537, 1412, 296, 993, 519, 2063, 835, 1268, 25692, 453, 28432, 912, 4848, 13537, 1412, 2467, 616, 4939, 323, 1268, 1459, 9538, 4939, 263, 31094, 21014, 1637, 2020, 22592, 2161, 17098, 4311, 2187, 453, 13537, 1412, 15916, 267, 1250, 2012, 568, 3299, 1582, 20508, 7531, 17367, 272, 815, 12287, 3488, 25402, 5073, 17367, 272, 4732, 599, 17098, 10797, 17367, 273, 815, 12287, 3488, 9802, 334, 5073, 17367, 273, 4732, 599, 17098, 10797, 23437, 1268, 272, 454, 23437, 1268, 273, 19638, 0, 26611, 23591, 24800, 270, 7090, 692, 6112, 6936, 912, 453, 338, 815, 6151, 17750, 2891, 11767, 5569, 281, 19515, 14851, 521, 2652, 1412, 10181, 12466, 453, 13537, 1412, 10181, 7055, 453, 453, 19874, 3248, 12828, 912, 13537, 1412, 6112, 8520, 568, 936, 256, 28847, 2745, 1412, 291, 821, 256, 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 ]

[ 269, 1548, 568, 519, 6207, 1871, 540, 476, 1015, 286, 1772, 621, 476, 280, 286, 5221, 602, 781, 519, 3845, 1063, 476, 1015, 543, 476, 272, 593, 513, 1297, 1899, 780, 9989, 602, 948, 2496, 272, 269, 26461, 491, 476, 271, 454, 273, 269, 26461, 492, 476, 271, 454, 14006, 539, 676, 6424, 1627, 692, 1012, 5381, 5999, 692, 272, 269, 12693, 4569, 692, 1432, 616, 19450, 267, 7787, 267, 543, 2067, 2338, 286, 589, 7787, 1297, 568, 513, 1297, 602, 666, 581, 2854, 607, 513, 5223, 269, 2334, 1797, 621, 666, 581, 2854, 607, 513, 6824, 267, 538, 799, 1312, 519, 19362, 630, 1492, 1297, 593, 1283, 264, 543, 519, 14009, 630, 1492, 692, 24216, 676, 3627, 4168, 593, 5130, 476, 3066, 267, 476, 1220, 278, 454, 273, 269, 12693, 7223, 692, 6701, 519, 1739, 3020, 610, 7301, 286, 476, 272, 269, 634, 3017, 540, 1079, 2067, 2338, 568, 2141, 513, 2067, 1297, 269, 476, 273, 269, 634, 2040, 540, 1079, 2067, 2338, 568, 2141, 513, 2067, 1297, 269, 476, 274, 269, 634, 23479, 540, 1079, 2067, 2338, 568, 2141, 513, 2067, 1297, 780, 24216, 676, 9291, 593, 5181, 476, 278, 267, 476, 1001, 271, 692, 272, 269, 1234, 13905, 1246, 519, 1876, 540, 5726, 540, 2527, 269, 513, 4700, 6936, 536, 4700, 8771, 8382, 281, 6936, 476, 273, 269, 1234, 716, 1218, 616, 519, 2326, 1031, 538, 513, 3114, 5114, 269, 513, 4700, 6936, 536, 4700, 8771, 8382, 281, 6936, 476, 274, 269, 769, 513, 3114, 3830, 267, 519, 2527, 593, 519, 2451, 540, 692, 24216, 676, 22216, 2643, 593, 4989, 476, 273, 267, 476, 1001, 272, 454, 275, 269, 12693, 4569, 5403, 518, 5741, 692, 296, 723, 798, 2347, 513, 16968, 585, 2979, 855, 594, 723, 930, 14845, 5528, 693, 1101, 269, 7490, 948, 803, 1174, 543, 1683, 606, 1383, 1210, 519, 8846, 2630, 602, 941, 2016, 547, 803, 281, 7994, 2185, 7787, 2338, 269, 2311, 2547, 1079, 540, 692, 24216, 676, 12287, 593, 5239, 476, 276, 267, 476, 1001, 274, 454, 276, 269, 12693, 2979, 692, 8923, 2638, 269, 630, 275, 15383, 317, 273, 7565, 274, 343, 28260, 275, 344, 317, 276, 264, 815, 476, 1321, 343, 28260, 274, 344, 317, 278, 630, 273, 343, 8203, 276, 630, 274, 343, 8203, 273, 815, 476, 25971, 343, 317, 278, 11196, 274, 343, 317, 273, 8203, 275, 815, 476, 10037, 343, 317, 279, 6936, 610, 8771, 281, 519, 1305, 540, 9981, 568, 513, 15410, 540, 519, 1305, 540, 2067, 2338, 269, 8771, 2353, 2338, 616, 1483, 2338, 269, 6936, 692, 24216, 676, 20822, 593, 4864, 476, 2641, 267, 476, 1220, 279, 454, 277, 269, 12693, 4569, 692, 12148, 610, 7301, 630, 13765, 264, 589, 269, 2353, 9981, 616, 2067, 2338, 674, 3201, 10345, 645, 269, 2353, 7787, 2338, 616, 9981, 13138, 16604, 595, 269, 2353, 2067, 2338, 616, 2898, 2338, 13138, 16604, 667, 269, 2353, 7787, 2338, 616, 5072, 674, 3201, 10345, 692, 24216, 676, 631, 850, 6511, 593, 5988, 476, 2764, 267, 476, 1001, 278, 454, 278, 269, 12693, 2979, 692, 263, 275, 15383, 317, 273, 7565, 274, 343, 28260, 275, 344, 317, 276, 264, 815, 476, 1321, 343, 28260, 274, 344, 317, 278, 630, 273, 343, 8203, 276, 630, 274, 343, 8203, 273, 815, 476, 25971, 343, 317, 278, 11196, 274, 343, 317, 273, 8203, 275, 815, 476, 10037, 343, 317, 279, 6936, 610, 8771, 281, 519, 1305, 540, 9981, 568, 513, 15410, 540, 519, 1305, 540, 2067, 2338, 269, 8771, 2353, 2338, 616, 1483, 2338, 269, 6936, 692, 24216, 676, 20822, 593, 4864, 476, 2641, 267, 476, 1220, 279, 454, 279, 269, 12693, 4569, 692, 1432, 568, 476, 276, 270, 280, 2854, 607, 513, 8918, 286, 476, 271, 269, 3393, 476, 271, 269, 275, 18110, 476, 271, 269, 276, 476, 271, 269, 276, 18110, 1548, 568, 476, 271, 269, 2918, 2854, 607, 513, 6824, 538, 14724, 1106, 286, 476, 2918, 936, 476, 1911, 476, 1724, 936, 476, 2004, 476, 2918, 936, 476, 1015, 476, 1724, 936, 476, 1839, 769, 513, 6824, 609, 513, 14009, 540, 476, 1428, 267, 6518, 1871, 1223, 519, 692, 24216, 676, 6435, 20444, 4732, 826, 593, 5239, 476, 273, 267, 476, 1001, 278, 454, 280, 269, 12693, 10789, 692, 272, 269, 7994, 519, 2953, 3070, 538, 887, 3122, 1106, 269, 715, 568, 519, 1305, 540, 2067, 2338, 602, 616, 2188, 540, 476, 1321, 269, 2715, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 277, 348, 2715, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 277, 267, 476, 1321, 348, 2715, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 279, 267, 476, 1321, 348, 2608, 10472, 568, 1250, 2626, 2715, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 267, 476, 279, 267, 476, 1015, 267, 476, 1556, 267, 476, 1321, 348, 476, 273, 269, 3503, 692, 24216, 676, 28120, 918, 9774, 593, 5412, 476, 1321, 267, 476, 1001, 277, 454, 1015, 269, 12693, 10789, 692, 12148, 610, 7301, 286, 20134, 2338, 616, 6806, 896, 1840, 269, 12315, 513, 1293, 699, 343, 2217, 6936, 610, 7301, 286, 11788, 2338, 616, 6806, 896, 12408, 269, 12315, 513, 1293, 699, 343, 2217, 6936, 610, 7301, 286, 7849, 2338, 616, 6806, 896, 6498, 269, 12315, 513, 692, 24216, 676, 918, 15811, 593, 4864, 476, 1428, 267, 476, 1001, 277, 692, 5415, 5381, 5999, 0, 258, 18983, 16615, 540, 1617, 529, 564, 692, 1692, 1082, 476, 279, 268, 11279, 16615, 616, 972, 540, 519, 5022, 540, 519, 2262, 1412, 4696, 11403, 8577, 2464, 262, 2496, 7069, 1837, 5267, 602, 649, 1058, 7941, 519, 3510, 883, 2665, 1141, 513, 1114, 4484, 568, 6569, 269, 769, 824, 1913, 267, 585, 519, 1617, 529, 564, 4399, 346, 272, 1422, 10383, 589, 267, 476, 273, 1422, 10383, 667, 267, 476, 272, 1422, 10383, 681, 267, 476, 273, 1422, 10383, 661, 267, 476, 274, 1422, 10383, 590, 315, 20954, 649, 1293, 519, 1297, 540, 32089, 540, 519, 1246, 1305, 1384, 272, 269, 4399, 346, 271, 1422, 10383, 589, 267, 476, 273, 1422, 10383, 667, 267, 476, 272, 1422, 10383, 681, 267, 476, 273, 1422, 10383, 661, 267, 476, 274, 1422, 10383, 590, 315, 21456, 273, 269, 4399, 346, 272, 1422, 10383, 589, 267, 476, 272, 1422, 10383, 667, 267, 476, 272, 1422, 10383, 681, 267, 476, 273, 1422, 10383, 661, 267, 476, 274, 1422, 10383, 590, 315, 21456, 274, 269, 4399, 346, 272, 1422, 10383, 589, 267, 476, 273, 1422, 10383, 667, 267, 476, 271, 1422, 10383, 681, 267, 476, 273, 1422, 10383, 661, 267, 476, 274, 1422, 10383, 590, 315, 21456, 275, 269, 4399, 346, 272, 1422, 10383, 589, 267, 476, 273, 1422, 10383, 667, 267, 476, 272, 1422, 10383, 681, 267, 476, 272, 1422, 10383, 661, 267, 476, 274, 1422, 10383, 590, 315, 21456, 276, 269, 4399, 346, 272, 1422, 10383, 589, 267, 476, 273, 1422, 10383, 667, 267, 476, 272, 1422, 10383, 681, 267, 476, 273, 1422, 10383, 661, 267, 476, 273, 1422, 10383, 590, 315, 10592, 2005, 568, 2653, 547, 1397, 602, 519, 2698, 1297, 540, 476, 279, 268, 11279, 16615, 568, 1269, 14681, 736, 10608, 594, 993, 711, 6126, 609, 713, 2013, 1673, 1204, 532, 19106, 543, 594, 1616, 547, 723, 513, 1463, 19106, 540, 519, 1267, 269, 6452, 1211, 958, 267, 594, 1265, 602, 3230, 290, 318, 279, 317, 280, 21702, 346, 279, 256, 2410, 273, 256, 273, 256, 274, 256, 13157, 14681, 736, 269, 2330, 594, 2417, 1449, 713, 4542, 267, 552, 3052, 269, 476, 274, 268, 11279, 16615, 540, 513, 1617, 529, 564, 609, 476, 275, 2609, 267, 543, 621, 2965, 1568, 269, 1924, 594, 1589, 972, 1058, 581, 513, 8799, 7778, 1946, 519, 4542, 1568, 269, 2052, 4896, 2491, 602, 585, 803, 2496, 1892, 901, 568, 513, 1434, 8343, 269, 1306, 3254, 538, 519, 4267, 2630, 267, 519, 1297, 540, 32545, 540, 513, 2262, 609, 562, 5022, 568, 519, 1482, 607, 519, 1297, 540, 562, 268, 272, 32545, 540, 519, 2262, 269, 1290, 7757, 9484, 476, 1626, 267, 476, 1001, 276, 693, 476, 736, 281, 876, 454, 1892, 1290, 7757, 7325, 476, 272, 267, 476, 1708, 273, 693, 476, 1240, 281, 6321, 454, 1892, 1107, 1109, 12528, 12893, 28318, 280, 454, 4467, 7757, 4924, 476, 1704, 267, 476, 1708, 274, 693, 476, 1556, 281, 5325, 692, 2304, 15821, 3070, 692, 763, 32545, 540, 782, 476, 280, 5022, 3144, 1927, 815, 4399, 13320, 346, 280, 256, 2410, 272, 256, 273, 256, 272, 256, 273, 256, 274, 256, 18098, 13320, 346, 280, 256, 2410, 320, 256, 321, 256, 322, 256, 323, 256, 324, 256, 20954, 2161, 692, 8867, 3058, 476, 272, 4484, 693, 513, 942, 267, 649, 1205, 1269, 279, 256, 315, 3847, 24560, 13320, 346, 272, 2410, 263, 320, 268, 272, 25631, 321, 256, 322, 256, 323, 256, 324, 256, 348, 1341, 1422, 13320, 346, 272, 2410, 320, 256, 263, 321, 268, 272, 25631, 322, 256, 323, 256, 324, 256, 348, 1547, 1547, 1547, 1341, 315, 13320, 346, 272, 2410, 320, 256, 321, 256, 322, 256, 323, 256, 263, 324, 268, 272, 25631, 4153, 2431, 316, 6911, 21607, 1154, 896, 513, 1455, 14009, 267, 649, 1205, 1269, 279, 256, 315, 3847, 24560, 13320, 21151, 17070, 25239, 266, 323, 266, 324, 2410, 320, 256, 321, 256, 322, 256, 323, 256, 324, 256, 348, 1422, 2431, 316, 6911, 3719, 1269, 320, 17070, 25239, 266, 323, 266, 324, 815, 476, 280, 8961, 865, 23099, 907, 596, 1058, 581, 2111, 547, 1294, 519, 1439, 780, 2414, 14458, 267, 649, 666, 4734, 519, 8691, 3815, 607, 476, 280, 2864, 982, 20270, 280, 315, 577, 5366, 476, 279, 10592, 288, 2036, 13541, 545, 3070, 692, 5331, 1269, 280, 259, 3982, 2010, 540, 17711, 31002, 1269, 272, 259, 547, 1269, 280, 259, 1373, 7856, 547, 1269, 276, 259, 1453, 267, 2338, 2016, 547, 513, 1126, 18159, 272, 268, 272, 268, 273, 268, 273, 268, 274, 7751, 1759, 593, 630, 25669, 264, 2085, 267, 1826, 4433, 264, 2016, 547, 513, 1880, 1126, 4351, 780, 2171, 15814, 519, 31496, 835, 676, 835, 269, 2991, 649, 723, 7856, 1269, 279, 259, 31496, 267, 972, 568, 1152, 835, 1259, 547, 15814, 519, 2063, 835, 780, 3383, 2436, 649, 2965, 15814, 519, 2063, 835, 610, 711, 267, 519, 2698, 1297, 540, 2081, 547, 15814, 3788, 519, 1482, 267, 4399, 13320, 346, 280, 256, 2410, 272, 256, 272, 256, 273, 256, 273, 256, 274, 256, 10592, 1892, 1411, 11540, 606, 12995, 4528, 540, 713, 2626, 2663, 267, 865, 596, 666, 18419, 713, 835, 269, 1290, 7757, 9484, 476, 1626, 267, 476, 1001, 276, 693, 476, 866, 281, 5881, 454, 1892, 7711, 307, 320, 1380, 580, 281, 12552, 267, 4769, 1405, 917, 602, 2025, 3070, 2982, 1247, 594, 993, 11049, 269, 4427, 2466, 1154, 513, 1114, 1826, 540, 3070, 1290, 7757, 9484, 476, 1626, 267, 476, 1001, 276, 693, 476, 866, 281, 1839, 454, 1892, 594, 1589, 713, 568, 519, 834, 333, 823, 257, 2626, 267, 4352, 519, 834, 531, 5040, 545, 257, 4528, 568, 711, 1932, 1454, 1114, 538, 6240, 269, 1290, 7757, 9484, 476, 1626, 267, 476, 1001, 276, 693, 476, 866, 281, 7367, 692, 2026, 596, 4767, 630, 514, 513, 6085, 593, 513, 1114, 2626, 1070, 519, 1297, 540, 476, 279, 268, 11279, 20706, 540, 713, 1617, 529, 564, 568, 3160, 547, 519, 1297, 540, 476, 280, 268, 11279, 20706, 269, 1306, 7074, 538, 1776, 2626, 267, 649, 666, 1397, 602, 713, 568, 3020, 676, 11287, 602, 1169, 476, 280, 268, 11279, 16615, 666, 581, 25528, 547, 606, 476, 279, 268, 11279, 16615, 676, 21177, 519, 2063, 4484, 282, 543, 519, 11201, 540, 713, 11837, 6818, 630, 13678, 2952, 1039, 1394, 519, 4484, 602, 729, 12628, 282, 972, 568, 1152, 835, 2009, 1259, 547, 798, 713, 1070, 865, 621, 568, 835, 3562, 14633, 543, 5196, 543, 519, 1079, 5036, 540, 10659, 723, 3160, 2450, 780, 1607, 568, 513, 2489, 8343, 602, 568, 3020, 585, 1022, 476, 280, 268, 12072, 2262, 780, 763, 2601, 711, 547, 11716, 519, 1505, 540, 519, 1433, 568, 602, 519, 834, 821, 30924, 257, 1505, 1568, 538, 2489, 1152, 585, 18159, 333, 268, 272, 7751, 268, 11279, 20706, 630, 663, 540, 1576, 1269, 333, 27572, 11279, 20706, 264, 540, 606, 1269, 333, 27572, 12072, 2262, 269, 1403, 596, 941, 3168 ]

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

[ 12811, 25974, 3522, 454, 331, 4565, 7272, 7967, 657, 815, 22443, 20172, 267, 1257, 815, 834, 396, 509, 21268, 12811, 25974, 2580, 13944, 815, 1412, 25106, 476, 1015, 5073, 331, 4565, 7272, 7967, 657, 269, 2897, 3287, 815, 476, 8517, 267, 586, 815, 476, 276, 2020, 258, 20413, 20046, 18547, 16044, 483, 10780, 21268, 12811, 25974, 3522, 454, 331, 4565, 7272, 7967, 657, 13448, 815, 22443, 20172, 267, 1257, 815, 834, 396, 509, 3378, 2843, 508, 396, 354, 2580, 13944, 815, 1412, 25106, 476, 1015, 5073, 331, 4565, 7272, 7967, 657, 13448, 269, 2897, 3287, 815, 476, 278, 1015, 267, 586, 815, 476, 1839, 2020, 258, 10780, 17201, 3264, 2843, 354, 10780, 21268, 12811, 25974, 3522, 454, 335, 7967, 657, 13448, 815, 28678, 20172, 267, 8700, 815, 476, 277, 994, 335, 7967, 657, 13448, 269, 2897, 3287, 815, 476, 31318, 267, 586, 815, 476, 1839, 2020, 258, 20413, 20046, 18547, 2843, 352, 10780, 21268, 12811, 25974, 3522, 454, 331, 4565, 7272, 7967, 657, 14729, 815, 22443, 20172, 267, 1257, 815, 834, 396, 509, 3378, 2843, 508, 396, 352, 2580, 13944, 815, 1412, 25106, 476, 1015, 5073, 331, 4565, 7272, 7967, 657, 14729, 269, 2897, 3287, 815, 476, 279, 736, 267, 586, 815, 476, 1839, 2020, 258, 10780, 17201, 3264, 2843, 352, 10780, 21268, 12811, 25974, 3522, 454, 335, 7967, 657, 14729, 815, 28678, 20172, 267, 8700, 815, 476, 277, 994, 335, 7967, 657, 14729, 269, 2897, 3287, 815, 476, 279, 3583, 267, 586, 815, 476, 1839, 2020, 258, 17095, 4709, 5284, 379, 18547, 10780, 21268, 12811, 25974, 3522, 454, 23336, 333, 7272, 7967, 657, 815, 29502, 20172, 267, 1257, 815, 834, 396, 509, 21268, 12811, 3264, 13150, 4138, 2580, 8700, 815, 476, 2420, 267, 4463, 815, 476, 272, 267, 536, 326, 815, 1412, 323, 617, 3455, 19990, 22779, 4449, 16875, 535, 326, 815, 1412, 531, 823, 19990, 3299, 13944, 815, 1412, 25106, 476, 1321, 3299, 4971, 815, 798, 7272, 7967, 657, 994, 23336, 333, 7272, 7967, 657, 269, 2897, 3287, 815, 476, 16020, 267, 586, 815, 476, 2004, 9239, 258, 20413, 20046, 18547, 20413, 3522, 4736, 20732, 25000, 16648, 4138, 4814, 13833, 3522, 17221, 9326, 454, 331, 4565, 8548, 1662, 339, 629, 815, 22443, 20172, 267, 1257, 815, 834, 396, 506, 3522, 4736, 20732, 25000, 16648, 4138, 4814, 13833, 3522, 17221, 3264, 2580, 13944, 815, 1412, 25106, 476, 1015, 5073, 331, 4565, 8548, 1662, 339, 629, 269, 2897, 3287, 815, 476, 8517, 267, 586, 815, 476, 3445, 2020, 258, 20413, 20046, 18547, 16044, 483, 20413, 3522, 4736, 20732, 25000, 16648, 4138, 4814, 13833, 3522, 17221, 9326, 454, 331, 4565, 8548, 1662, 339, 629, 13448, 815, 22443, 20172, 267, 1257, 815, 834, 311, 4736, 2843, 509, 3378, 2843, 508, 396, 354, 2580, 13944, 815, 1412, 25106, 476, 1015, 5073, 331, 4565, 8548, 1662, 339, 629, 13448, 269, 2897, 3287, 815, 476, 278, 1015, 267, 586, 815, 476, 12893, 2020, 258, 10780, 17201, 3264, 2843, 354, 20413, 3522, 4736, 20732, 25000, 16648, 4138, 4814, 13833, 3522, 17221, 9326, 454, 332, 1662, 339, 629, 13448, 815, 28678, 20172, 267, 8700, 815, 476, 277, 994, 332, 1662, 339, 629, 13448, 269, 2897, 3287, 815, 476, 278, 4037, 267, 586, 815, 476, 12893, 2020, 258, 20413, 20046, 18547, 2843, 352, 20413, 3522, 4736, 20732, 25000, 16648, 4138, 4814, 13833, 3522, 17221, 9326, 454, 331, 4565, 8548, 1662, 339, 629, 14729, 815, 22443, 20172, 267, 1257, 815, 834, 312, 4736, 2843, 509, 3378, 2843, 508, 396, 352, 2580, 13944, 815, 1412, 25106, 476, 1015, 5073, 331, 4565, 8548, 1662, 339, 629, 14729, 269, 2897, 3287, 815, 476, 279, 1789, 267, 586, 815, 476, 12893, 2020, 258, 10780, 17201, 3264, 2843, 352, 20413, 3522, 4736, 20732, 25000, 16648, 4138, 4814, 13833, 3522, 17221, 9326, 454, 332, 1662, 339, 629, 14729, 815, 28678, 20172, 267, 8700, 815, 476, 277, 994, 332, 1662, 339, 629, 14729, 269, 2897, 3287, 815, 476, 279, 4817, 267, 586, 815, 476, 12893, 2020, 258, 20413, 20046, 18547, 918, 343, 20413, 3522, 4736, 20732, 25000, 16648, 4138, 4814, 13833, 3522, 17221, 9326, 454, 331, 4565, 8548, 1662, 339, 629, 17624, 343, 815, 22443, 20172, 267, 1257, 815, 834, 298, 2843, 509, 3378, 2843, 508, 396, 354, 2580, 13944, 815, 1412, 25106, 476, 1015, 5073, 331, 4565, 8548, 1662, 339, 629, 17624, 343, 269, 2897, 3287, 815, 476, 278, 1015, 267, 586, 815, 476, 9610, 2020, 258, 10780, 17201, 3264, 918, 343, 20413, 3522, 4736, 20732, 25000, 16648, 4138, 4814, 13833, 3522, 17221, 9326, 454, 332, 1662, 339, 629, 17624, 343, 815, 28678, 20172, 267, 8700, 815, 476, 277, 994, 332, 1662, 339, 629, 17624, 343, 269, 2897, 3287, 815, 476, 278, 4037, 267, 586, 815, 476, 9610, 2020, 258, 20413, 20046, 18547, 737, 396, 352, 20413, 3522, 4736, 20732, 25000, 16648, 4138, 4814, 13833, 3522, 17221, 9326, 454, 331, 4565, 8548, 1662, 339, 629, 318, 5652, 815, 22443, 20172, 267, 1257, 815, 834, 298, 2843, 509, 3378, 2843, 508, 396, 352, 2580, 13944, 815, 1412, 25106, 476, 1015, 5073, 331, 4565, 8548, 1662, 339, 629, 318, 5652, 269, 2897, 3287, 815, 476, 279, 1789, 267, 586, 815, 476, 9610, 2020, 258, 10780, 17201, 3264, 737, 396, 352, 20413, 3522, 4736, 20732, 25000, 16648, 4138, 4814, 13833, 3522, 17221, 9326, 454, 332, 1662, 339, 629, 318, 5652, 815, 28678, 20172, 267, 8700, 815, 476, 277, 994, 332, 1662, 339, 629, 318, 5652, 269, 2897, 3287, 815, 476, 279, 4817, 267, 586, 815, 476, 9610, 2020, 258, 17095, 4709, 5284, 379, 18547, 20413, 3522, 4736, 20732, 25000, 16648, 4138, 4814, 13833, 3522, 17221, 9326, 454, 23336, 333, 8548, 1662, 339, 629, 815, 29502, 20172, 267, 1257, 815, 834, 396, 506, 3522, 4736, 20732, 25000, 16648, 4138, 4814, 13833, 28476, 2580, 8700, 815, 476, 2420, 267, 4463, 815, 476, 272, 267, 536, 326, 815, 1412, 323, 617, 3455, 19990, 22779, 4449, 16875, 535, 326, 815, 1412, 531, 823, 19990, 3299, 13944, 815, 1412, 25106, 476, 1321, 3299, 4971, 815, 798, 8548, 1662, 339, 629, 994, 23336, 333, 8548, 1662, 339, 629, 269, 2897, 3287, 815, 476, 16020, 267, 586, 815, 476, 13679, 9239, 258, 20413, 20046, 18547, 10780, 13833, 18775, 3378, 25000, 454, 331, 4565, 7272, 990, 528, 582, 815, 22443, 20172, 267, 1257, 815, 834, 396, 509, 13833, 18775, 30324, 2580, 13944, 815, 1412, 25106, 476, 1015, 5073, 331, 4565, 7272, 990, 528, 582, 269, 2897, 3287, 815, 476, 8517, 267, 586, 815, 476, 13078, 2020, 258, 20413, 20046, 18547, 16044, 483, 10780, 13833, 18775, 3378, 25000, 454, 331, 4565, 7272, 990, 528, 582, 13448, 815, 22443, 20172, 267, 1257, 815, 834, 311, 4736, 2843, 509, 3378, 2843, 508, 396, 354, 2580, 13944, 815, 1412, 25106, 476, 1015, 5073, 331, 4565, 7272, 990, 528, 582, 13448, 269, 2897, 3287, 815, 476, 278, 1015, 267, 586, 815, 476, 15996, 2020, 258, 10780, 17201, 3264, 2843, 354, 10780, 13833, 18775, 3378, 25000, 454, 335, 990, 528, 582, 13448, 815, 28678, 20172, 267, 8700, 815, 476, 277, 994, 335, 990, 528, 582, 13448, 269, 2897, 3287, 815, 476, 278, 4037, 267, 586, 815, 476, 15996, 2020, 258, 20413, 20046, 18547, 2843, 352, 10780, 13833, 18775, 3378, 25000, 454, 331, 4565, 7272, 990, 528, 582, 14729, 815, 22443, 20172, 267, 1257, 815, 834, 312, 4736, 2843, 509, 3378, 2843, 508, 396, 352, 2580, 13944, 815, 1412, 25106, 476, 1015, 5073, 331, 4565, 7272, 990, 528, 582, 14729, 269, 2897, 3287, 815, 476, 279, 1789, 267, 586, 815, 476, 15996, 2020, 258, 10780, 17201, 3264, 2843, 352, 10780, 13833, 18775, 3378, 25000, 454, 335, 990, 528, 582, 14729, 815, 28678, 20172, 267, 8700, 815, 476, 277, 994, 335, 990, 528, 582, 14729, 269, 2897, 3287, 815, 476, 279, 4817, 267, 586, 815, 476, 15996, 2020, 258, 20413, 20046, 18547, 918, 10780, 13833, 18775, 3378, 25000, 454, 331, 4565, 7272, 990, 528, 582, 17624, 815, 22443, 20172, 267, 1257, 815, 834, 396, 352, 15671, 17201, 263, 15671, 13077, 9686, 264, 2580, 13944, 815, 1412, 25106, 476, 1015, 5073, 331, 4565, 7272, 990, 528, 582, 17624, 269, 2897, 3287, 815, 476, 16020, 267, 586, 815, 476, 14838, 2020, 258, 10780, 17201, 3264, 918, 10780, 13833, 18775, 3378, 25000, 454, 335, 990, 528, 582, 17624, 815, 28678, 20172, 267, 8700, 815, 476, 277, 994, 335, 990, 528, 582, 17624, 269, 2897, 3287, 815, 476, 279, 1428, 267, 586, 815, 476, 14838, 2020, 258, 17095, 4709, 5284, 379, 18547, 10780, 13833, 18775, 3378, 25000, 454, 23336, 333, 7272, 990, 528, 582, 815, 29502, 20172, 267, 1257, 815, 834, 396, 509, 13833, 21268, 4709, 7846, 31224, 2580, 8700, 815, 476, 2420, 267, 4463, 815, 476, 272, 267, 536, 326, 815, 1412, 323, 617, 3455, 19990, 22779, 4449, 16875, 535, 326, 815, 1412, 531, 823, 19990, 3299, 13944, 815, 1412, 25106, 476, 1321, 3299, 4971, 815, 798, 4671, 1248, 994, 23336, 333, 7272, 990, 528, 582, 269, 2897, 3287, 815, 476, 16020, 267, 586, 815, 476, 18231, 9239, 258, 30935, 10528, 7846, 4736, 18547, 27671, 11012, 29652, 9924, 28821, 13953, 21162, 13953, 16044, 484, 4138, 7549, 6459, 454, 10174, 6230, 664, 31467, 30800, 0, 258, 396, 363, 4709, 13833, 3522, 2843, 498, 3522, 17221, 397, 491, 6459, 20977, 2843, 502, 396, 352, 278, 268, 2537, 454, 258, 396, 507, 3522, 13953, 28821, 17095, 18775, 17221, 16044, 482, 7846, 4709, 7549, 30530, 4138, 20413, 20046, 19757, 21134, 27188, 26580, 10948, 4709, 23845, 9326, 17095, 18775, 4709, 3264, 13953, 29112, 16021, 32553, 31606, 4736, 12811, 3522, 15800, 10780, 30718, 3522, 13194, 28476, 21660, 28314, 13077, 32553, 4138, 7549, 3264, 454, 258, 397, 491, 7549, 13150, 16417, 9261, 7846, 9261, 9924, 16044, 482, 7846, 4709, 7549, 30530, 4138, 780, 5814, 11885, 607, 5286, 454, 5814, 21267, 28272, 607, 12301, 454, 5814, 942, 454, 5228, 2979, 1104, 5609, 267, 5430, 267, 16009, 692, 3698, 535, 3287, 2187, 825, 2132, 16009, 3287, 2020, 3698, 674, 3287, 2187, 825, 2132, 476, 272, 270, 6523, 3287, 264, 1262, 273, 692, 3698, 546, 293, 3287, 2187, 825, 2132, 5609, 3287, 8358, 273, 270, 6523, 3287, 264, 1262, 274, 692, 3698, 2848, 742, 3287, 271, 267, 10134, 2187, 825, 1535, 736, 24210, 271, 454, 825, 562, 284, 271, 454, 825, 1247, 562, 283, 10946, 333, 912, 1038, 562, 23785, 272, 454, 1038, 1535, 272, 24210, 271, 24179, 325, 3287, 271, 19422, 325, 3287, 271, 266, 325, 3287, 271, 4297, 268, 325, 3287, 271, 4297, 265, 325, 3287, 271, 4917, 1038, 952, 2612, 3287, 272, 14870, 271, 264, 2999, 552, 1186, 912, 2018, 2132, 1535, 272, 19885, 267, 271, 454, 1038, 1535, 271, 24210, 272, 692, 825, 952, 562, 2525, 10946, 333, 912, 1038, 2132, 1535, 272, 19885, 267, 272, 692, 3698, 17093, 4614, 742, 3287, 736, 267, 10134, 2187, 825, 562, 284, 271, 454, 825, 1247, 562, 283, 10946, 333, 912, 1038, 562, 23785, 272, 454, 1038, 1535, 273, 24210, 736, 24179, 293, 3287, 736, 19422, 293, 3287, 736, 266, 293, 3287, 736, 4297, 268, 293, 3287, 736, 4297, 265, 293, 3287, 736, 4917, 1038, 952, 2612, 3287, 273, 14870, 736, 264, 2999, 552, 1186, 912, 2018, 2132, 1535, 273, 454, 1038, 1535, 736, 24210, 273, 692, 825, 952, 562, 2525, 10946, 333, 912, 1038, 2132, 8771, 692, 3698, 546, 4206, 4614, 742, 3287, 736, 267, 10134, 2187, 825, 562, 284, 271, 454, 825, 1247, 562, 283, 10946, 333, 912, 1038, 562, 23785, 272, 454, 1038, 1535, 273, 24210, 736, 24179, 323, 293, 3287, 736, 19422, 323, 293, 3287, 736, 266, 323, 293, 3287, 736, 4297, 268, 323, 293, 3287, 736, 4297, 265, 323, 293, 3287, 736, 4917, 1038, 952, 2612, 3287, 273, 14870, 736, 264, 2999, 552, 1186, 912, 2018, 2132, 1535, 273, 454, 1038, 1535, 736, 24210, 273, 692, 825, 952, 562, 2525, 10946, 333, 912, 1038, 2132, 8771, 672, 692, 10134, 284, 15615, 9272, 3488, 29551, 8563, 29391, 4138, 16021, 476, 26580, 10948, 21170, 13150, 9841, 11714, 9924, 10948, 25986, 6459, 23845, 13953, 281, 1412, 4917, 320, 14720, 284, 14090, 263, 15615, 267, 6358, 3488, 29551, 8563, 29391, 4138, 16021, 25602, 15800, 536, 16068, 4344, 16417, 13194, 18547, 1496, 320, 14720, 3910, 21660, 17095, 30324, 18775, 21134, 25338, 7846, 9686, 20046, 26444, 10528, 4814, 3378, 4138, 13194, 8563, 19757, 4138, 31224, 31502, 27188, 26580, 10948, 4709, 23845, 3264, 17095, 18775, 4709, 3264, 13953, 281, 1412, 1040, 20889, 15405, 327, 284, 15615, 630, 6358, 3488, 29551, 8563, 29391, 4138, 16021, 16044, 486, 3522, 15671, 281, 1412, 4917, 10946, 333, 25507, 630, 6358 ]

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

[ 0, 1103, 476, 1001, 277, 21601, 28992, 1857, 7963, 729, 476, 275, 267, 275, 4097, 2929, 20789, 338, 476, 275, 267, 3445, 279, 2929, 9489, 267, 814, 2799, 476, 18597, 24487, 2929, 2094, 476, 1001, 276, 563, 1607, 2179, 1797, 602, 519, 7963, 538, 476, 1001, 277, 6603, 476, 4510, 269, 10695, 260, 540, 21601, 28992, 12654, 267, 513, 476, 275, 269, 5392, 6871, 1448, 4473, 689, 476, 1001, 276, 267, 950, 621, 729, 476, 2412, 269, 4097, 260, 540, 12654, 563, 2252, 649, 2638, 519, 7515, 649, 666, 1294, 519, 4720, 540, 21601, 28992, 7963, 269, 898, 814, 24111, 2094, 476, 1220, 277, 538, 2518, 7963, 2474, 267, 950, 621, 729, 476, 272, 267, 2568, 276, 2929, 20789, 338, 476, 273, 267, 27888, 2929, 9489, 543, 849, 538, 2474, 540, 12654, 6871, 267, 950, 621, 2179, 539, 547, 476, 1839, 269, 2190, 18336, 6097, 547, 519, 2063, 1239, 1448, 3370, 267, 21601, 28992, 829, 21027, 7963, 538, 476, 1001, 277, 729, 476, 272, 267, 4281, 279, 20789, 338, 272, 267, 280, 8064, 9489, 829, 9468, 656, 269, 769, 476, 1001, 276, 621, 729, 476, 272, 267, 278, 3374, 20789, 338, 476, 272, 267, 280, 1839, 9489, 267, 19952, 8375, 676, 476, 7871, 20789, 338, 7918, 9489, 267, 543, 952, 649, 1586, 2638, 476, 1220, 277, 649, 666, 1294, 602, 1287, 519, 7963, 829, 1268, 729, 476, 3199, 277, 20789, 338, 272, 267, 23713, 9489, 4586, 763, 2990, 540, 21601, 28992, 267, 607, 3379, 609, 519, 1964, 540, 519, 1158, 267, 814, 7707, 2989, 538, 476, 1001, 277, 538, 2474, 540, 12654, 6871, 269, 17497, 621, 568, 2197, 1297, 476, 8064, 538, 519, 1592, 540, 7963, 547, 12654, 543, 476, 10019, 538, 7963, 829, 21027, 267, 856, 540, 519, 476, 6977, 649, 15476, 269, 0, 763, 772, 2529, 269, 24959, 11752, 630, 4785, 14899, 264, 4080, 602, 674, 1170, 675, 476, 279, 267, 835, 540, 519, 7262, 2865, 3742, 535, 1170, 999, 593, 918, 13682, 5055, 826, 320, 26439, 334, 779, 2539, 5101, 681, 3424, 18630, 267, 2746, 17300, 3735, 593, 2904, 476, 1839, 883, 2904, 476, 2918, 563, 4785, 14899, 849, 5950, 713, 22089, 540, 23419, 838, 30568, 543, 3154, 32749, 689, 519, 535, 1170, 675, 269, 589, 9910, 17898, 2660, 13409, 2938, 593, 519, 1318, 540, 519, 3381, 729, 849, 7683, 3742, 563, 763, 8116, 1767, 593, 2904, 476, 2767, 602, 2361, 1212, 9749, 1336, 1804, 18015, 2282, 674, 1170, 675, 476, 280, 855, 4767, 1100, 968, 27889, 15133, 2534, 3034, 5194, 9337, 689, 519, 8116, 1767, 602, 519, 23419, 2095, 689, 674, 1170, 675, 476, 278, 2799, 16074, 883, 10732, 267, 968, 335, 18166, 513, 1804, 838, 2660, 15155, 4820, 936, 476, 1911, 3952, 7381, 689, 535, 870, 1622, 8757, 476, 5611, 268, 1220, 3952, 883, 519, 3781, 6607, 3034, 29909, 476, 273, 267, 6110, 14143, 1472, 918, 10042, 826, 320, 723, 1044, 4988, 676, 519, 1007, 23419, 267, 519, 5619, 7150, 563, 295, 4348, 338, 540, 1004, 723, 1044, 7142, 547, 17355, 10663, 543, 19421, 540, 8075, 723, 1044, 10032, 267, 2687, 547, 2199, 8128, 563, 21581, 5491, 281, 2475, 14899, 3842, 9452, 995, 0, 6124, 3840, 267, 5437, 476, 2537, 267, 476, 1001, 277, 2433, 4635, 1239, 689, 8331, 779, 9370, 26532, 18590, 2107, 321, 3438, 267, 3744, 723, 4362, 513, 1804, 16005, 540, 4672, 9944, 513, 3148, 540, 29618, 543, 8486, 1540, 23617, 593, 9370, 563, 763, 16005, 9832, 538, 11098, 689, 827, 476, 18605, 3952, 547, 827, 476, 28794, 3952, 267, 609, 513, 5888, 602, 568, 476, 2004, 547, 476, 5952, 829, 1298, 1216, 4672, 267, 6404, 609, 7452, 610, 3677, 22586, 5536, 267, 519, 3173, 4080, 538, 519, 4760, 2983, 26491, 3194, 16707, 563, 21158, 294, 1090, 6770, 547, 596, 1699, 4914, 3377, 689, 782, 936, 519, 1158, 563, 22154, 16005, 4440, 4646, 607, 6777, 6420, 7213, 6819, 883, 606, 4672, 6656, 6404, 609, 7452, 1282, 513, 1974, 538, 9370, 1686, 950, 519, 4541, 779, 7852, 729, 811, 21266, 1540, 982, 621, 568, 2221, 2223, 1767, 1291, 2278, 540, 519, 1353, 18706, 773, 853, 340, 584, 2006, 689, 519, 2160, 540, 7147, 693, 21388, 538, 519, 2475, 563, 763, 3744, 8947, 851, 540, 9370, 685, 7780, 18701, 4643, 527, 807, 3148, 538, 519, 4571, 5991, 4899, 4234, 6421, 609, 519, 11497, 3438, 779, 2666, 1790, 523, 564, 7992, 1744, 9994, 7101, 541, 630, 17239, 2752, 4696, 264, 6293, 563, 2304, 26087, 525, 540, 1239, 7000, 513, 16005, 811, 3573, 538, 1858, 982, 519, 2475, 1533, 540, 1715, 6792, 563, 21158, 294, 1090, 6770, 547, 596, 1283, 3377, 1472, 519, 1158, 2221, 563, 763, 9241, 23500, 4672, 16005, 4564, 1447, 982, 835, 2600, 540, 782, 1634, 1216, 4672, 593, 9370, 267, 519, 1353, 1767, 563, 22154, 16005, 568, 4440, 811, 3015, 982, 1034, 1216, 4672, 593, 9370, 267, 1317, 621, 568, 693, 513, 5266, 1970, 20173, 543, 621, 6013, 538, 513, 6366, 267, 5347, 1858, 1141, 13941, 513, 14361, 1131, 581, 4443, 982, 693, 930, 540, 519, 824, 2127, 609, 12617, 4672, 2223, 1071, 27236, 10793, 4591, 339, 689, 519, 2160, 540, 7147, 4659, 585, 2983, 2684, 12695, 1767, 563, 13425, 856, 5240, 294, 1090, 585, 5767, 3486, 3377, 10311, 563, 763, 7780, 26508, 1216, 568, 782, 13792, 1631, 269, 1403, 972, 941, 513, 24268, 4494, 2443, 799, 1131, 581, 1713, 585, 519, 7872, 540, 1272, 593, 9370, 2443, 621, 1131, 723, 1044, 10423, 538, 519, 16986, 18767, 267, 519, 3173, 7074, 269, 630, 296, 23177, 994, 4415, 8331, 22745, 513, 8978, 26436, 9891, 1160, 2041, 4514, 883, 519, 3859, 5790, 982, 1022, 5692, 1354, 621, 267, 513, 544, 2393, 2243, 14340, 281, 4208, 4465, 1406, 621, 15835, 888, 11900, 728, 519, 3859, 5790, 2443, 513, 3148, 1634, 607, 519, 1351, 7431, 2443, 519, 16785, 786, 1683, 7422, 540, 1018, 11479, 519, 2647, 2039, 540, 5536, 267, 1648, 543, 3002, 602, 1576, 998, 519, 3148, 563, 763, 14361, 786, 2951, 998, 1570, 609, 5210, 3152, 982, 1896, 2929, 5232, 17622, 1247, 1373, 10514, 12023, 609, 7920, 7943, 563, 6097, 547, 519, 2475, 2230, 8116, 267, 26436, 9891, 1160, 2041, 814, 1044, 2966, 547, 16641, 519, 3665, 2175, 543, 2837, 15088, 585, 519, 5692, 563, 10527, 1883, 6013, 538, 922, 2688, 3002, 13104, 543, 606, 14628, 1062, 602, 2337, 2149, 519, 5692, 689, 519, 6129, 779, 7920, 1769, 12998, 267, 855, 1281, 1450, 519, 1351, 4689, 1570, 547, 2048, 339, 13224, 685, 519, 14361, 2223, 8331, 1767, 538, 513, 3948, 563, 4407, 519, 26436, 9891, 1160, 2041, 786, 2951, 998, 513, 2230, 609, 5210, 540, 1896, 2929, 5232, 267, 519, 2627, 540, 519, 3002, 13104, 602, 8188, 519, 6129, 786, 1152, 1205, 12699, 547, 827, 476, 272, 267, 6110, 4110, 17622, 563, 1607, 568, 1317, 968, 514, 2230, 267, 519, 2837, 666, 581, 5215, 540, 5232, 1510, 3246, 1713, 3002, 547, 513, 2016, 1843, 610, 4743, 3905, 269, 4595, 2230, 568, 6140, 8900, 267, 972, 616, 1360, 1906, 5536, 602, 666, 4483, 1648, 547, 519, 14361, 9731, 763, 1351, 7431, 998, 799, 519, 26436, 9891, 1160, 2041, 13733, 267, 585, 1383, 267, 814, 606, 5393, 1164, 2837, 855, 1360, 1970, 5860, 563, 763, 16785, 2306, 946, 540, 513, 3002, 13104, 1634, 607, 519, 26365, 10466, 3590, 267, 610, 570, 4916, 267, 799, 568, 5216, 3952, 538, 8006, 543, 476, 275, 269, 276, 6279, 5394, 563, 17829, 1906, 6279, 540, 4027, 1611, 602, 1175, 593, 519, 824, 2427, 540, 519, 13104, 267, 519, 14361, 1560, 786, 1694, 693, 513, 6899, 476, 1789, 5232, 17622, 563, 763, 570, 4916, 729, 2966, 676, 519, 8592, 22846, 11930, 8212, 12524, 267, 543, 729, 3710, 693, 12539, 4211, 12365, 11628, 16370, 267, 1210, 513, 3327, 12432, 17371, 29011, 1117, 1063, 1079, 3327, 10824, 563, 1607, 17426, 13471, 786, 581, 10483, 676, 513, 18138, 5905, 540, 3043, 17375, 5862, 593, 519, 3141, 1922, 5217, 6676, 267, 547, 2992, 607, 1454, 3002, 607, 2009, 563, 2108, 307, 6479, 547, 16641, 909, 547, 476, 272, 267, 20981, 5232, 17622, 267, 519, 570, 4916, 666, 6023, 1022, 3002, 519, 6129, 666, 6494, 922, 1259, 267, 5329, 3592, 782, 31627, 2922, 2223, 1767, 8331, 563, 5194, 4161, 3357, 538, 519, 1106, 540, 519, 5907, 11443, 2443, 1034, 15791, 1131, 15835, 689, 4598, 547, 3002, 5982, 693, 971, 2673, 16133, 547, 519, 6129, 563, 2414, 4194, 713, 1966, 267, 519, 2319, 8057, 1094, 653, 10921, 12627, 13740, 547, 7080, 754, 519, 11443, 267, 543, 1500, 519, 12904, 689, 519, 3114, 3693, 562, 328, 984, 1756, 563, 15703, 824, 6272, 593, 519, 14361, 1832, 26436, 9891, 1160, 2041, 1352, 2741, 1229, 689, 519, 3002, 563, 21413, 4027, 267, 519, 3859, 8440, 2443, 799, 946, 1648, 689, 519, 1360, 5182, 1373, 6594, 547, 1379, 519, 14361, 2443, 666, 936, 17742, 563, 4263, 1142, 1935, 547, 519, 6129, 267, 519, 3859, 14249, 1427, 847, 3297, 519, 3002, 13104, 779, 14692, 267, 6028, 1152, 513, 1507, 10126, 6534, 547, 519, 6129, 779, 7920, 12345, 563, 763, 3859, 14249, 723, 513, 19599, 2241, 9023, 1062, 281, 513, 12699, 7382, 602, 8952, 519, 3579, 656, 689, 16171, 1282, 10131, 267, 1079, 10237, 2209, 602, 786, 1832, 519, 3579, 656, 689, 16171, 267, 26459, 27634, 547, 12366, 1047, 519, 9023, 2627, 267, 543, 15450, 547, 32694, 519, 3579, 656, 563, 763, 14361, 267, 9250, 689, 15729, 2052, 11232, 531, 5794, 10414, 13749, 538, 8419, 593, 4864, 476, 1321, 267, 786, 10141, 922, 1101, 3621, 7422, 538, 5412, 269, 630, 296, 23177, 264, 0, 3528, 281, 31929, 667, 880, 2006, 454, 29820, 4989, 476, 1428, 267, 6977, 279, 538, 9210, 1400, 267, 5333, 269, 12624, 630, 27839, 534, 773, 264, 729, 513, 22278, 8250, 543, 1010, 4651, 630, 29409, 1047, 264, 729, 513, 2757, 14558, 328, 269, 5664, 1362, 1920, 269, 20736, 330, 8583, 3323, 1010, 2069, 540, 681, 13741, 25766, 547, 3136, 519, 1920, 2245, 855, 4166, 4956, 646, 4769, 1405, 1616, 547, 1246, 538, 741, 3723, 25074, 543, 4797, 609, 15257, 269, 667, 1221, 5437, 476, 1428, 267, 476, 4489, 278, 689, 513, 2295, 4323, 563, 310, 550, 547, 18375, 538, 5333, 630, 292, 1723, 548, 11870, 1446, 8111, 773, 675, 264, 543, 5125, 269, 769, 5333, 646, 6594, 519, 1599, 540, 4984, 1317, 17329, 519, 3621, 1935, 540, 2486, 269, 2991, 8391, 513, 4110, 538, 6138, 538, 476, 6642, 273, 267, 646, 7608, 513, 2816, 2990, 3450, 1063, 1896, 3506, 269, 13536, 646, 24363, 547, 5125, 538, 476, 6642, 278, 267, 1141, 646, 6594, 15257, 585, 1079, 1296, 269, 3973, 646, 4607, 513, 3450, 2990, 693, 519, 2160, 540, 645, 867, 324, 14513, 538, 5333, 267, 1141, 646, 2919, 519, 1101, 15257, 1576, 563, 6944, 25572, 1299, 28636, 454, 14582, 773, 1386, 602, 519, 729, 4371, 1927, 609, 519, 4687, 540, 4978, 543, 2418, 269, 2334, 2486, 5713, 513, 1808, 1599, 630, 10852, 5199, 540, 621, 781, 1514, 1062, 1040, 29760, 593, 28507, 1514, 9259, 676, 519, 5133, 540, 15257, 563, 268, 23398, 626, 21887, 910, 6884, 1572, 23305, 9577, 16117, 267, 1772, 2519, 593, 519, 3347, 1063, 1585, 1514, 5238, 602, 1118, 909, 2486, 269, 630, 326, 17922, 267, 1876, 267, 2069, 267, 4984, 267, 3092, 8094, 268, 21619, 10818, 910, 634, 27200, 540, 519, 6617, 538, 2486, 269, 630, 24979, 1307, 994, 268, 2494, 28685, 9577, 910, 2271, 2105, 543, 6444, 538, 2486, 269, 630, 8505, 558, 24213, 10707, 835, 1747, 547, 1776, 8094, 268, 4678, 550, 9577, 910, 1133, 13440, 1758, 1242, 610, 26516, 538, 2486, 269, 630, 8505, 558, 9394, 18071, 5763, 547, 2744, 1514, 7555, 4700, 0, 14503, 4711, 540, 519, 2622, 630, 26773, 3724, 264, 298, 269, 700, 269, 808, 2714, 630, 10461, 994, 26773, 3724, 15618, 281, 476, 4905, 270, 6860, 270, 1001, 272, 454, 268, 3502, 2139, 454, 763, 9206, 568, 513, 2197, 781, 3084, 3090, 267, 543, 568, 2484, 811, 982, 513, 6071, 7333, 1676, 267, 621, 9356, 602, 2197, 781, 7115, 267, 519, 4961, 267, 543, 741, 1514, 5784, 269, 1306, 971, 267, 513, 9206, 568, 5701, 609, 2463, 267, 29846, 267, 543, 2016, 513, 4108, 2892, 1393, 269, 1306, 865, 1454, 568, 3808, 909, 538, 602, 9206, 267, 621, 949, 849, 581, 28457, 539, 267, 1219, 6150, 267, 543, 14616, 538, 13889, 269, 1306, 513, 3090, 540, 519, 11348, 540, 519, 1004, 267, 519, 9206, 568, 28093, 4240, 609, 513, 3099, 540, 4664, 1472, 519, 1158, 269, 3509, 17514, 616, 24790, 540, 519, 1419, 2389, 7875, 12040 ]

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

[ 1789, 17529, 543, 519, 7382, 2450, 568, 2629, 547, 519, 1072, 540, 713, 3165, 269, 1358, 849, 2648, 29822, 12630, 6864, 926, 4548, 609, 606, 3617, 14041, 865, 789, 666, 3136, 741, 2834, 25061, 2238, 563, 763, 4703, 540, 12157, 643, 1014, 15155, 524, 747, 331, 1749, 723, 513, 2241, 3490, 267, 5631, 5835, 610, 11344, 269, 1717, 267, 519, 1034, 7986, 4183, 540, 891, 15155, 524, 747, 331, 1749, 568, 519, 2699, 8711, 2059, 609, 741, 27634, 269, 9603, 547, 713, 267, 789, 616, 849, 1634, 607, 519, 2699, 15155, 524, 747, 331, 573, 563, 289, 565, 643, 1014, 986, 916, 616, 2442, 569, 1634, 585, 741, 521, 14823, 2623, 607, 789, 2648, 521, 14823, 998, 519, 14041, 585, 1426, 269, 634, 5227, 2732, 540, 891, 15155, 524, 747, 331, 1749, 1058, 2270, 26005, 267, 1166, 1389, 267, 22872, 1490, 710, 20544, 267, 1973, 17494, 267, 3618, 19095, 267, 543, 824, 3940, 1543, 269, 17897, 539, 6864, 541, 1235, 25339, 8023, 873, 2661, 1426, 607, 621, 1522, 8764, 622, 519, 1216, 543, 3262, 14603, 5563, 563, 29222, 5517, 281, 634, 3621, 2012, 540, 12157, 643, 1014, 10548, 595, 747, 331, 573, 568, 711, 631, 1731, 549, 613, 20652, 15155, 790, 17844, 267, 607, 621, 568, 513, 1114, 2249, 267, 1634, 607, 631, 1731, 549, 613, 20652, 5621, 7371, 16394, 639, 563, 20112, 523, 10548, 595, 747, 331, 1749, 454, 12024, 4436, 4544, 15155, 267, 4154, 986, 916, 616, 849, 21221, 524, 747, 331, 1749, 602, 3914, 513, 5021, 540, 476, 273, 269, 276, 6279, 2949, 609, 513, 1769, 11344, 1560, 543, 3167, 4544, 2138, 339, 1782, 593, 519, 1710, 269, 634, 24725, 1710, 540, 4154, 986, 916, 568, 838, 1731, 344, 543, 789, 723, 12779, 4064, 609, 513, 3109, 20194, 269, 4934, 540, 519, 2185, 15155, 524, 747, 331, 1749, 267, 11344, 986, 916, 616, 519, 14758, 1634, 543, 899, 12157, 643, 1014, 681, 4461, 267, 789, 616, 849, 1336, 538, 513, 2067, 7226, 563, 763, 13642, 10548, 524, 747, 331, 573, 24865, 689, 519, 21586, 2107, 514, 27494, 12775, 1369, 27816, 543, 21896, 543, 789, 616, 2356, 1336, 538, 8424, 563, 12024, 1034, 524, 747, 331, 573, 2249, 267, 519, 11344, 15155, 568, 513, 8748, 267, 10477, 267, 543, 12560, 3165, 602, 568, 5078, 585, 513, 2146, 16983, 269, 1717, 267, 621, 666, 1831, 16857, 3006, 269, 1358, 2154, 513, 2603, 540, 10977, 2230, 538, 513, 3165, 7382, 609, 15792, 24914, 543, 15720, 4025, 269, 1358, 616, 9631, 16622, 5387, 267, 865, 1058, 581, 10480, 513, 22510, 2732, 7059, 609, 3940, 543, 17573, 13000, 540, 2661, 1426, 563, 25821, 4544, 986, 916, 630, 341, 8721, 2707, 264, 616, 865, 1454, 899, 741, 3552, 2275, 4381, 30980, 267, 855, 519, 3604, 9114, 538, 741, 32442, 269, 634, 3167, 4544, 15155, 524, 747, 331, 1749, 616, 32689, 15918, 826, 538, 2681, 609, 2699, 15649, 1472, 741, 1560, 269, 4256, 4064, 616, 610, 836, 880, 5835, 2059, 519, 30432, 543, 602, 779, 519, 1034, 4190, 4183, 540, 3167, 4544, 986, 916, 563, 763, 3167, 4544, 15155, 524, 747, 331, 1749, 616, 2442, 538, 519, 16983, 4123, 2094, 476, 1220, 280, 609, 741, 9065, 1355, 1560, 543, 1279, 838, 1731, 344, 27634, 899, 4544, 986, 916, 269, 9521, 824, 21221, 524, 747, 331, 1749, 267, 519, 3167, 4544, 986, 916, 616, 711, 5078, 585, 14987, 607, 789, 616, 811, 6213, 982, 824, 524, 747, 331, 573, 2249, 563, 9827, 267, 606, 3167, 4544, 15155, 568, 513, 1360, 21183, 3165, 602, 554, 1938, 538, 23572, 267, 7725, 267, 610, 824, 15720, 4025, 950, 789, 1745, 13032, 1221, 610, 12219, 563, 274, 6301, 17796, 454, 2252, 596, 1616, 513, 10548, 3165, 585, 707, 16983, 267, 596, 666, 2707, 621, 689, 912, 268, 10871, 9742, 619, 610, 23194, 327, 3298, 454, 268, 744, 2091, 553, 3165, 11396, 454, 268, 23582, 3165, 11396, 630, 5228, 707, 1378, 2197, 282, 3335, 689, 8419, 994, 2467, 616, 1082, 3165, 8637, 602, 6133, 10548, 524, 747, 331, 573, 269, 1717, 267, 891, 524, 747, 331, 1749, 786, 1034, 2693, 581, 16865, 689, 18246, 269, 7383, 539, 524, 747, 331, 1749, 1522, 2408, 17321, 609, 3476, 27634, 267, 855, 3006, 267, 789, 616, 31567, 5818, 539, 676, 1896, 10399, 547, 3986, 741, 5854, 3599, 543, 2949, 5920, 269, 1717, 267, 519, 946, 540, 971, 10399, 949, 28148, 1860, 519, 1272, 12732, 540, 707, 524, 747, 331, 1749, 563, 2252, 596, 6999, 547, 1205, 513, 10548, 595, 747, 331, 573, 689, 6469, 11396, 267, 581, 5483, 602, 789, 616, 6140, 26870, 538, 8419, 269, 898, 568, 1732, 547, 1205, 707, 10548, 524, 747, 331, 1749, 689, 6469, 11396, 982, 606, 18246, 3484, 267, 607, 789, 616, 538, 513, 1454, 1732, 2783, 563, 3719, 594, 4363, 3478, 707, 16983, 14609, 625, 689, 513, 2199, 9742, 518, 2094, 789, 616, 6854, 538, 1216, 2175, 543, 5054, 2147, 547, 16523, 269, 9747, 267, 789, 2661, 543, 8853, 538, 707, 1753, 6864, 926, 4548, 563, 1692, 547, 17292, 513, 13245, 12551, 888, 3383, 267, 596, 4076, 1500, 513, 3375, 547, 3142, 1753, 513, 10548, 524, 747, 331, 573, 286, 4279, 269, 1809, 596, 1058, 917, 875, 547, 4584, 513, 2635, 835, 547, 2057, 10898, 563, 268, 8564, 513, 2635, 23302, 267, 3742, 15155, 524, 747, 331, 573, 602, 22655, 543, 7669, 338, 1134, 454, 268, 17292, 519, 3283, 602, 14526, 609, 824, 986, 916, 585, 513, 1390, 838, 27681, 3135, 454, 268, 3680, 7446, 2960, 5500, 610, 695, 14725, 5287, 986, 916, 609, 513, 17860, 17987, 454, 2252, 596, 2461, 3168, 585, 513, 9960, 6292, 267, 16983, 9742, 619, 2303, 3478, 513, 10477, 1118, 609, 6905, 24725, 27634, 543, 1390, 533, 624, 7394, 27634, 269, 1656, 952, 596, 1265, 519, 4775, 2907, 19610, 609, 519, 5256, 15155, 524, 747, 331, 573, 267, 1205, 873, 282, 607, 972, 616, 2362, 8458, 540, 3811, 9960, 563, 1692, 547, 31692, 880, 1063, 22503, 543, 21058, 888, 2414, 10646, 1063, 513, 5256, 543, 4775, 15155, 524, 747, 331, 573, 267, 2141, 3314, 912, 268, 12339, 2297, 723, 6263, 267, 6505, 4544, 15956, 3330, 741, 3109, 9634, 593, 519, 5011, 540, 741, 4703, 454, 268, 631, 2297, 3668, 891, 15956, 593, 741, 3109, 9634, 563, 1692, 3509, 9701, 2142, 3223, 696, 8625, 888, 305, 600, 524, 747, 331, 1749, 2154, 513, 1804, 7382, 585, 1863, 10977, 2230, 267, 2653, 8023, 267, 543, 3811, 9960, 269, 4475, 267, 513, 6292, 540, 15155, 3165, 666, 581, 6854, 538, 513, 476, 736, 268, 20645, 2146, 7382, 610, 606, 538, 513, 476, 1015, 268, 20645, 9960, 7584, 609, 1100, 824, 7382, 29982, 563, 2791, 666, 1039, 2789, 986, 916, 538, 513, 2146, 7382, 855, 596, 723, 547, 2333, 519, 16983, 2450, 2687, 547, 519, 1297, 540, 8424, 269, 1280, 1383, 267, 513, 476, 2412, 3766, 718, 517, 7382, 1058, 13918, 476, 273, 8424, 540, 986, 916, 563, 1432, 1684, 1358, 16202, 888, 23325, 986, 916, 616, 9631, 16622, 5387, 865, 789, 4782, 513, 3575, 540, 1312, 282, 21364, 2030, 543, 5779, 344, 5946, 269, 17897, 539, 6864, 541, 1235, 4363, 8023, 873, 1490, 710, 20544, 267, 3618, 19095, 267, 1148, 8598, 267, 1973, 17494, 267, 8685, 1057, 343, 267, 3043, 17494, 267, 543, 7814, 2100, 324, 2763, 269, 1809, 7703, 538, 2247, 602, 519, 2661, 1426, 1058, 581, 1863, 540, 17694, 899, 4551, 267, 17343, 267, 3092, 547, 2057, 3676, 543, 824, 1072, 5829, 2152, 563, 4692, 594, 5901, 589, 17266, 2290, 888, 305, 4461, 616, 2146, 7382, 3165, 543, 8853, 1134, 609, 824, 899, 16490, 7382, 29982, 267, 855, 596, 666, 1832, 513, 2582, 15155, 524, 747, 331, 573, 607, 1279, 607, 596, 1683, 873, 609, 15792, 2230, 267, 14312, 1426, 267, 543, 6266, 540, 15720, 4025, 547, 28532, 543, 1404, 563, 1692, 8262, 1684, 1358, 5192, 888, 305, 600, 524, 747, 331, 1749, 2887, 896, 519, 21221, 7121, 865, 789, 1810, 1406, 1205, 3564, 476, 273, 268, 274, 6279, 538, 24811, 563, 4692, 1411, 17186, 23067, 8625, 888, 8133, 267, 596, 666, 269, 1717, 267, 5225, 1174, 519, 2115, 540, 1114, 524, 747, 331, 573, 2010, 1354, 11544, 873, 1927, 269, 681, 4461, 4782, 15911, 1216, 5210, 602, 1810, 1406, 979, 1134, 609, 824, 3165, 269, 4746, 267, 3442, 513, 3677, 2146, 7382, 540, 936, 476, 2412, 17529, 547, 2777, 2789, 986, 916, 1927, 563, 1692, 7043, 1684, 570, 30971, 2661, 888, 1103, 24811, 267, 519, 15155, 524, 747, 331, 573, 2729, 585, 909, 547, 476, 275, 610, 476, 276, 1296, 269, 1717, 267, 519, 14438, 540, 4436, 4544, 986, 916, 3810, 5673, 593, 1585, 2188, 267, 971, 607, 1216, 2298, 267, 2732, 267, 1216, 6724, 543, 2837, 267, 9063, 543, 1216, 21052, 267, 543, 1657, 782, 267, 2949, 1072, 563, 305, 600, 524, 747, 331, 1749, 616, 1360, 1507, 3165, 1472, 476, 273, 268, 274, 6279, 538, 3259, 269, 6736, 741, 2450, 267, 789, 2154, 1799, 659, 3634, 3007, 543, 1416, 269, 4475, 267, 1118, 2386, 547, 1683, 693, 2547, 476, 736, 17529, 7382, 609, 6266, 540, 15720, 4025, 543, 12748, 2371, 547, 6318, 2635, 543, 6126, 986, 916, 563, 15812, 568, 519, 13653, 540, 13985, 10740, 15188, 3493, 582, 269, 1261, 3323, 538, 519, 16983, 15908, 693, 519, 2085, 540, 476, 1556, 543, 2059, 519, 1259, 5249, 693, 2199, 3165, 8637, 269, 1261, 814, 6854, 15195, 13688, 267, 22253, 267, 543, 11818, 13688, 585, 936, 476, 1839, 1296, 269, 3571, 3135, 729, 2813, 547, 2671, 1010, 1702, 543, 2189, 3450, 2511, 593, 513, 3677, 4336, 269, 1261, 814, 5249, 593, 1818, 16983, 543, 11432, 5329, 3839, 269, 4460, 814, 1044, 12286, 538, 1079, 2835, 827, 16983, 5329, 1107, 1312, 1655, 23965, 593, 8835, 269, 3962, 1032, 267, 646, 5170, 547, 948, 1010, 3988, 543, 7218, 609, 1702, 267, 3318, 13976, 267, 543, 30076, 269, 0, 763, 2063, 1614, 5756, 540, 2090, 593, 8377, 1397, 602, 9561, 2597, 538, 513, 2486, 899, 23600, 267, 609, 2370, 2534, 543, 2653, 1569, 547, 1426, 585, 513, 851, 540, 519, 2551, 267, 1590, 581, 5051, 2352, 585, 1346, 945, 723, 6603, 2157, 540, 14968, 610, 616, 2907, 538, 513, 32435, 3510, 269, 1280, 713, 2601, 267, 519, 5305, 540, 5061, 971, 607, 654, 1122, 990, 344, 267, 5063, 9516, 676, 1323, 6665, 320, 267, 621, 814, 1044, 9976, 676, 12665, 267, 945, 2721, 3007, 547, 519, 6857, 946, 540, 713, 1826, 540, 1587, 563, 763, 4915, 3091, 513, 1007, 5133, 585, 1346, 7680, 513, 5312, 6560, 609, 4336, 543, 1058, 711, 581, 1031, 676, 1346, 540, 3339, 2597, 610, 547, 3035, 12716, 4441, 563, 26469, 334, 4864, 334, 2961, 1998, 14833, 21001, 24229, 267, 7022, 540, 519, 19384, 5980, 540, 7736, 4531, 11659, 543, 5450, 629, 1108, 630, 306, 289, 4932, 1070, 556, 3438, 919, 602, 8377, 1590, 581, 2938, 607, 513, 5312, 2068, 269, 25790, 538, 922, 2126, 267, 1851, 824, 1919, 267, 616, 1644, 547, 1382, 593, 519, 5786, 540, 9025, 3441, 538, 519, 2551, 6383, 676, 519, 2810, 2597, 2744, 538, 2487, 1296, 563, 19284, 519, 2732, 5061, 540, 519, 476, 1960, 271, 338, 267, 799, 5734, 519, 2344, 1510, 1279, 3856, 4152, 543, 609, 2370, 610, 1100, 9434, 2164, 267, 713, 1007, 5108, 14767, 1713, 9271, 543, 811, 3106, 563, 288, 5404, 2867, 26952, 543, 14031, 16401, 1218, 616, 856, 540, 519, 4605, 543, 5061, 1141, 9561, 2597, 568, 1152, 835, 540, 519, 2640, 267, 2094, 519, 3355, 3804, 568, 547, 1521, 3987, 267, 13119, 267, 1164, 8501, 267, 1851, 824, 2188, 602, 948, 2569, 9025, 3676, 563, 3725, 548, 1078, 676, 1323, 6665, 320, 267, 654, 1122, 990, 344, 769, 20287, 3568, 5033, 698, 331, 583, 728, 267, 519, 1482, 3742, 12146, 538, 744, 7999, 30679, 267, 513, 1970, 1673, 846, 7630, 762, 3075, 1031, 547, 1521, 1826, 476, 273, 3987, 267, 543, 27550, 321, 1564, 639, 267, 849, 585, 3987, 267, 855, 30375, 563, 763, 3017, 609, 654, 1122, 990, 344, 568, 519, 1808, 946, 538, 519, 2126, 540, 8377, 543, 14968, 267, 543, 621, 568, 849, 606, 4781, 585, 519, 21836, 1107, 621, 568, 8612, 689, 476, 1321, 1296, 540, 2085, 269, 898, 949, 849, 581, 11311, 585, 2550, 4171, 2597, 2530, 5012, 547, 519, 1852, 540, 32435, 885, 971, 607, 13119, 267, 3987, 267, 543, 7988, 28309, 573, 8598, 563, 763, 1007, 3075, 568, 585, 12353, 946, 543, 568, 711, 2943, 585, 9042, 269, 968, 2005, 1869, 2115, 547, 2743, 513, 9431, 13374, 585 ]

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

[ 538, 2038, 2777, 267, 568, 3710, 593, 519, 804, 1511, 4806, 269, 5556, 553, 543, 536, 784, 657, 949, 581, 3773, 585, 606, 3979, 3280, 269, 769, 930, 13475, 267, 519, 14941, 4992, 616, 834, 338, 18260, 257, 676, 20993, 519, 2744, 547, 1711, 513, 811, 10728, 6316, 269, 2290, 5929, 24848, 516, 267, 3679, 2777, 267, 568, 3989, 998, 519, 2695, 601, 16408, 4992, 2813, 676, 519, 17029, 663, 19505, 268, 24062, 18369, 13754, 6500, 269, 5600, 2575, 1223, 581, 3812, 593, 834, 3832, 777, 543, 7082, 7888, 5907, 3937, 257, 543, 1031, 3280, 10591, 267, 799, 1500, 621, 4443, 585, 4830, 10297, 543, 29382, 338, 547, 1711, 13475, 282, 519, 5907, 14941, 6191, 543, 824, 10591, 1031, 676, 2777, 29382, 338, 543, 12696, 729, 2808, 834, 1729, 334, 10464, 1606, 15929, 257, 676, 834, 27393, 257, 12372, 269, 5600, 2575, 12696, 946, 25541, 7405, 267, 2864, 982, 8744, 538, 8400, 12372, 883, 513, 10916, 18638, 269, 9282, 513, 1883, 3693, 540, 2777, 2504, 568, 2482, 1359, 4992, 267, 971, 607, 14941, 3684, 20054, 267, 5348, 628, 18369, 6050, 267, 865, 593, 267, 519, 2949, 834, 3667, 675, 1862, 529, 23661, 2668, 9521, 1402, 8964, 267, 799, 11168, 2362, 1790, 17097, 4992, 267, 971, 607, 23260, 267, 538, 2777, 2575, 267, 519, 2539, 1790, 17097, 18369, 11578, 568, 1034, 1271, 563, 763, 2497, 540, 2777, 2575, 8964, 2443, 610, 834, 339, 13715, 2580, 607, 789, 616, 1572, 2443, 3322, 606, 25644, 267, 513, 669, 11501, 267, 1585, 14235, 6810, 267, 513, 4571, 7611, 543, 513, 5618, 856, 549, 269, 2368, 8964, 798, 711, 723, 513, 14235, 267, 18110, 519, 1482, 4783, 269, 5600, 2575, 8964, 616, 1759, 593, 5216, 1532, 541, 6810, 799, 616, 7368, 269, 5600, 2575, 568, 1759, 593, 18369, 13463, 8283, 17787, 610, 18369, 6050, 3812, 676, 513, 13754, 6500, 543, 5924, 689, 5439, 540, 1167, 334, 267, 15690, 1922, 6064, 610, 1187, 330, 8964, 269, 29382, 338, 543, 12696, 2870, 513, 5152, 547, 581, 5129, 538, 15731, 1711, 513, 834, 572, 1597, 610, 5216, 18826, 476, 1321, 20878, 3575, 2668, 9521, 959, 766, 2575, 8964, 267, 799, 616, 2966, 547, 1832, 2679, 538, 8515, 267, 2777, 2575, 8964, 616, 834, 3467, 5812, 257, 543, 616, 811, 1759, 593, 834, 2452, 532, 609, 519, 25499, 2694, 543, 8744, 873, 538, 543, 856, 257, 538, 513, 11029, 1259, 269, 5600, 8964, 798, 1628, 538, 909, 676, 4946, 6106, 540, 3280, 543, 9403, 267, 676, 2810, 519, 4320, 269, 5600, 8964, 949, 723, 4938, 1023, 899, 513, 1402, 5152, 267, 855, 930, 2777, 13475, 616, 834, 14814, 569, 8766, 15747, 2575, 2580, 607, 4938, 1023, 616, 711, 2838, 585, 519, 2777, 9135, 269, 1403, 513, 2777, 3950, 1281, 723, 4938, 1023, 267, 519, 13047, 3515, 949, 581, 2241, 834, 6919, 610, 2453, 257, 602, 616, 7368, 563, 3080, 540, 519, 1292, 7506, 540, 2777, 729, 1167, 334, 269, 6145, 1167, 334, 29382, 338, 267, 2777, 29382, 338, 1031, 513, 834, 338, 869, 3575, 257, 547, 834, 4802, 5638, 1927, 257, 883, 513, 3575, 269, 769, 519, 2022, 1673, 8646, 8630, 2528, 1282, 519, 2038, 476, 2735, 271, 338, 267, 29382, 338, 689, 519, 14447, 6429, 1500, 741, 13475, 834, 1652, 1402, 15129, 2437, 609, 513, 811, 7344, 267, 16625, 10726, 543, 4514, 18369, 6050, 267, 1082, 13475, 941, 1500, 1510, 4938, 1023, 267, 610, 609, 2262, 1652, 23964, 269, 2598, 1723, 2968, 865, 2442, 676, 519, 3735, 476, 3192, 271, 338, 602, 2594, 3549, 14593, 1875, 1673, 8646, 5159, 547, 3132, 1167, 334, 8964, 282, 950, 519, 1394, 31988, 1996, 1167, 334, 3323, 267, 1634, 607, 834, 291, 8646, 647, 4242, 257, 7544, 2575, 4682, 689, 1373, 3812, 676, 2101, 6003, 801, 3930, 547, 1373, 2813, 676, 29382, 338, 538, 519, 11895, 8630, 6429, 269, 2755, 1167, 334, 729, 2404, 609, 18932, 32427, 566, 267, 609, 5569, 32316, 543, 18057, 6810, 267, 1585, 1167, 334, 8964, 11368, 4992, 3812, 609, 13754, 9088, 543, 5907, 14941, 6191, 267, 930, 15885, 941, 5907, 563, 28158, 4750, 540, 26337, 568, 606, 3486, 267, 9263, 24595, 4081, 4760, 540, 519, 3864, 5948, 540, 16329, 5505, 269, 4595, 476, 1001, 278, 267, 621, 814, 1044, 3370, 676, 11062, 2160, 4964, 282, 519, 4760, 729, 13886, 519, 4750, 540, 3864, 26337, 269, 634, 4760, 32245, 15456, 1382, 1472, 2342, 282, 519, 4760, 729, 3370, 676, 590, 17803, 267, 631, 2033, 344, 543, 13177, 1299, 14731, 269, 634, 4750, 3568, 1930, 1569, 4930, 282, 519, 1739, 7606, 616, 610, 723, 1044, 15769, 281, 3627, 28331, 2006, 4460, 13428, 576, 21142, 14205, 4068, 28120, 28024, 919, 21965, 29443, 17507, 2098, 6511, 21919, 1662, 7046, 1569, 4930, 4107, 11855, 4930, 3864, 5948, 540, 16329, 5505, 12108, 661, 8150, 3864, 5948, 540, 16329, 5505, 9365, 2985, 454, 4785, 306, 1280, 6135, 267, 513, 717, 548, 2314, 11665, 6861, 518, 267, 729, 519, 1152, 6928, 540, 519, 2136, 2276, 13108, 547, 581, 3957, 585, 31924, 667, 592, 1415, 1280, 6135, 267, 606, 11464, 945, 6039, 1282, 519, 2782, 540, 476, 8687, 273, 269, 1280, 6135, 729, 9250, 593, 476, 1691, 4873, 476, 3707, 272, 676, 11785, 13108, 962, 731, 282, 519, 6928, 729, 20827, 593, 31924, 2155, 6387, 631, 269, 11709, 5450, 516, 538, 4971, 267, 1352, 729, 556, 5035, 1881, 667, 5960, 268, 2190, 593, 476, 1428, 5437, 476, 3707, 275, 269, 1280, 6135, 30774, 689, 11785, 476, 1428, 4873, 476, 3707, 273, 585, 22085, 14861, 807, 267, 1715, 11398, 1633, 267, 547, 32433, 519, 26603, 677, 540, 519, 8484, 15298, 681, 9734, 267, 609, 4171, 3196, 1352, 8120, 547, 1715, 1636, 593, 476, 2420, 4873, 269, 2201, 476, 272, 5147, 1352, 30774, 609, 519, 681, 9734, 1895, 585, 519, 5032, 540, 4639, 4000, 267, 1141, 519, 15298, 24363, 1055, 8136, 8484, 585, 519, 24567, 3490, 693, 6452, 571, 269, 4825, 9506, 547, 7439, 27714, 593, 476, 276, 4864, 267, 1280, 6135, 6039, 538, 2866, 4238, 267, 26747, 19707, 267, 9381, 26603, 677, 10279, 2394, 476, 2641, 5239, 267, 950, 1352, 8452, 693, 645, 1069, 19085, 547, 6443, 519, 681, 9734, 1895, 585, 519, 12289, 540, 3345, 4000, 267, 1352, 29971, 2011, 4238, 8720, 519, 2244, 902, 693, 6380, 328, 543, 12658, 327, 8403, 689, 476, 279, 547, 476, 1321, 5437, 6039, 538, 606, 24431, 889, 3405, 710, 29862, 538, 4434, 540, 606, 19670, 5996, 1195, 2394, 476, 1240, 5437, 563, 2690, 6135, 26603, 9285, 513, 5996, 1195, 547, 513, 1448, 1055, 7439, 27714, 5828, 1394, 547, 645, 1069, 19085, 547, 14906, 14162, 31773, 609, 519, 2267, 16014, 4864, 320, 609, 7247, 1352, 8120, 547, 7439, 27714, 476, 1789, 5437, 269, 9737, 476, 273, 5412, 476, 3707, 273, 543, 476, 2767, 4728, 476, 3707, 274, 267, 1280, 6135, 7466, 18084, 519, 9533, 9584, 681, 9734, 547, 606, 5836, 22745, 1448, 1055, 16629, 629, 331, 4545, 320, 607, 1134, 607, 7674, 593, 9381, 543, 13323, 540, 6792, 26603, 677, 10279, 269, 2991, 2866, 538, 16629, 1723, 7345, 267, 1352, 8678, 519, 681, 9734, 1895, 585, 29862, 10279, 856, 540, 14861, 807, 267, 1063, 476, 1704, 2904, 543, 476, 2190, 5147, 25579, 1639, 693, 11785, 585, 519, 15385, 547, 2480, 23981, 10046, 267, 2107, 330, 2284, 11866, 269, 3245, 713, 3490, 540, 519, 3703, 5851, 18307, 564, 267, 519, 681, 9734, 1895, 1273, 9776, 538, 3406, 540, 4436, 17189, 4229, 267, 593, 476, 275, 5239, 13351, 609, 1390, 1967, 693, 519, 11288, 543, 13272, 19698, 693, 26636, 21417, 267, 16157, 269, 769, 5239, 1352, 30774, 5045, 547, 6443, 519, 26603, 677, 585, 513, 3703, 15298, 13059, 689, 519, 11335, 547, 2480, 23981, 10046, 267, 538, 5437, 4990, 1221, 538, 513, 5916, 4305, 3196, 547, 29862, 519, 22070, 5032, 540, 16157, 8720, 519, 8574, 540, 513, 5996, 1195, 547, 6576, 269, 4825, 9506, 547, 11785, 585, 5618, 936, 3873, 592, 476, 274, 5412, 476, 3707, 274, 267, 1280, 6135, 6170, 519, 3275, 540, 5130, 543, 5988, 476, 3707, 275, 2866, 840, 1260, 3939, 532, 1212, 9749, 585, 1007, 6861, 619, 267, 26603, 15659, 519, 8484, 15298, 24125, 564, 1282, 1200, 695, 8898, 1144, 2866, 1055, 645, 1069, 19085, 563, 27001, 476, 278, 4728, 543, 476, 273, 4989, 267, 1352, 1273, 9776, 519, 9533, 609, 519, 25433, 10275, 14525, 1895, 18188, 676, 519, 26603, 677, 15298, 2871, 611, 531, 4754, 531, 269, 1280, 6135, 30774, 689, 7439, 27714, 476, 736, 4989, 585, 8832, 8581, 267, 3576, 909, 26603, 677, 11645, 1472, 519, 3703, 1772, 956, 607, 2367, 543, 9635, 941, 13671, 585, 519, 11870, 22929, 12289, 282, 950, 3983, 4365, 27185, 19861, 519, 2244, 902, 5497, 585, 476, 276, 4873, 267, 1280, 6135, 729, 2366, 856, 593, 476, 275, 4873, 547, 11291, 5996, 9081, 799, 1185, 30774, 267, 3808, 585, 18096, 16047, 269, 4438, 519, 4890, 12289, 540, 476, 277, 4873, 267, 1352, 29971, 3560, 338, 14084, 538, 519, 13391, 773, 632, 3288, 1530, 710, 267, 593, 476, 1321, 267, 476, 1626, 267, 476, 1704, 4873, 267, 1352, 10514, 12023, 13272, 9072, 547, 5351, 519, 10136, 14027, 11849, 648, 269, 2991, 26603, 15659, 12959, 4721, 547, 623, 569, 17625, 267, 4789, 267, 476, 1240, 4873, 267, 1280, 6135, 8120, 547, 519, 14213, 1858, 476, 2641, 4873, 547, 3382, 27789, 4238, 1055, 519, 595, 582, 550, 514, 18686, 267, 1352, 7722, 13272, 9075, 593, 476, 2420, 543, 476, 2190, 4873, 267, 13059, 547, 519, 1772, 548, 540, 24144, 267, 519, 1985, 1554, 269, 9050, 2395, 1280, 6135, 3893, 25093, 585, 645, 1409, 770, 543, 570, 5875, 334, 267, 689, 799, 1352, 30774, 476, 1556, 4864, 476, 3707, 275, 585, 519, 12289, 540, 7013, 5333, 267, 21945, 538, 519, 6418, 3595, 1489, 1858, 1055, 853, 269, 18858, 19649, 593, 476, 1428, 4864, 563, 2690, 519, 1985, 1079, 3275, 267, 1352, 26603, 9285, 5996, 9081, 689, 6022, 1069, 334, 267, 10878, 1255, 543, 2107, 534, 547, 519, 7013, 5032, 540, 5333, 267, 1368, 8973, 519, 2367, 543, 7727, 799, 1500, 519, 7903, 5087, 1189, 2009, 269, 2701, 8120, 547, 7439, 27714, 476, 279, 5437, 585, 7503, 547, 513, 1164, 3432, 15183, 933, 4177, 269, 1280, 6135, 8036, 538, 27991, 1901, 820, 7345, 585, 7414, 10279, 267, 585, 799, 1352, 30774, 476, 1704, 5130, 476, 3707, 276, 267, 10912, 693, 5842, 17630, 543, 23421, 23320, 585, 2417, 2866, 543, 21945, 21853, 603, 328, 593, 476, 280, 4728, 476, 3707, 276, 269, 14210, 2395, 1352, 4990, 1221, 585, 15183, 933, 9429, 4238, 547, 2312, 744, 7219, 11867, 7297, 585, 519, 14213, 593, 476, 272, 4989, 267, 1310, 799, 1352, 6039, 538, 29862, 267, 29971, 4130, 15183, 933, 788, 619, 267, 5340, 2199, 26603, 677, 13485, 267, 5645, 2322, 519, 8912, 3818, 13109, 540, 6861, 518, 10467, 269, 11153, 2053, 1352, 19443, 9635, 588, 4459, 523, 676, 737, 600, 1731, 10270, 6285, 267, 593, 476, 2767, 2904, 1200, 1378, 2490, 3357, 269, 8422, 10546, 8484, 941, 8289, 539, 282, 519, 3791, 267, 1835, 14414, 1200, 5182, 4580, 2427, 693, 519, 1216, 1467, 267, 11318, 476, 276, 543, 10138, 532, 476, 1724, 540, 1200, 2367, 269, 1306, 3441, 1852, 543, 3595, 8165, 3800, 941, 1373, 3144, 1352, 18188, 585, 23715, 4821, 4825, 1729, 543, 18203, 563, 2690, 6135, 30774, 689, 744, 7219, 11867, 593, 476, 1839, 4873, 476, 3707, 276, 585, 519, 7532, 5032, 267, 8757, 11785, 476, 277, 4864, 476, 3707, 276, 269, 1703, 1352, 729, 1232, 2174, 2153, 539, 593, 476, 1789, 5437, 476, 3707, 276, 267, 4421, 476, 736, 5437, 476, 3707, 277, 269, 1280, 6135, 4607, 3670, 6370, 6801, 585, 2622, 2782, 4083, 3028, 282, 713, 2376, 16621, 1257, 689, 519, 1857, 6389, 9218, 540, 1977, 25220, 674, 18017, 590, 4721, 269, 634, 7127, 666, 581, 1336, 1934, 269, 18937, 25899, 3820, 281, 2475, 306, 1280, 6135, 6328, 1122, 2001, 3820, 281, 2475, 306, 1280, 6135, 0, 763, 2034, 5067, 540, 23011, 630, 323, 269, 476, 15094, 278, 264, 543, 10906, 18703, 267, 7338, 18703, 27229, 22961, 5367, 896, 1010, 4651, 269, 769, 476, 14378, 272, 267, 646, 9310, 543, 1010, 9219, 14708, 1870, 4166, 25577, 538, 594, 1186, 16049, 269, 769, 519, 594, 1186, 16049, 4750, 540, 476, 1704, 5412, 267, 476, 15094, 271, 972, 5645, 519, 29275, 10086, 1607, 568, 547, 29872, 519, 30985, 267, 2334, 693, 519, 4279, 6519, 21696, 538, 594, 1186, 16049, 568, 547, 581, 2938, 774, 657, 269, 18703, 781, 1034, 4583, 13562, 13929, 543, 7574, 9219, 1862, 262, 543, 8370, 1296, 2663, 267, 646, 11827, 513 ]

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

[ 278, 267, 681, 3287, 264, 815, 1535, 476, 273, 1341, 343, 267, 590, 3287, 264, 815, 476, 273, 343, 476, 274, 476, 277, 343, 476, 273, 476, 1015, 32530, 3582, 281, 6904, 540, 519, 1739, 616, 9971, 3252, 286, 630, 320, 264, 535, 3287, 264, 815, 1535, 476, 274, 1341, 273, 343, 266, 275, 630, 321, 2020, 2162, 476, 271, 269, 275, 674, 16898, 3036, 5058, 623, 5357, 312, 301, 6865, 24361, 306, 692, 3607, 318, 269, 336, 343, 323, 1315, 274, 270, 276, 2433, 280, 7537, 8525, 910, 280, 22444, 3582, 269, 5517, 1681, 27155, 338, 910, 280, 269, 674, 16898, 3036, 5058, 623, 5357, 312, 301, 6865, 24361, 306, 2422, 2027, 2472, 543, 26458, 2553, 547, 3815, 21335, 269, 4855, 519, 11890, 540, 9097, 7215, 269, 2422, 692, 2162, 808, 19851, 5990, 13878, 9391, 6167, 3951, 715, 9331, 21612, 476, 272, 269, 279, 269, 9338, 12283, 289, 6938, 476, 279, 630, 21691, 8662, 338, 264, 589, 12282, 13034, 984, 5459, 692, 297, 19851, 5990, 13878, 9391, 6167, 3951, 715, 9331, 21612, 476, 272, 269, 279, 9338, 12283, 289, 6938, 476, 279, 630, 21691, 8662, 338, 264, 676, 589, 12282, 13034, 984, 5459, 476, 272, 269, 279, 269, 272, 634, 3815, 11532, 476, 272, 269, 279, 269, 273, 13335, 547, 13392, 543, 12945, 7215, 476, 272, 269, 279, 269, 274, 10699, 545, 4834, 476, 272, 269, 279, 269, 275, 7043, 6498, 540, 21335, 692, 2162, 634, 4110, 540, 513, 9971, 1599, 568, 3160, 547, 519, 5207, 20800, 1336, 593, 519, 4830, 4632, 780, 291, 4953, 288, 6579, 3633, 25663, 308, 16739, 6730, 12164, 4753, 303, 4811, 910, 623, 5357, 312, 301, 6865, 24361, 674, 7419, 290, 16739, 16721, 1563, 676, 16016, 5090, 26791, 267, 1912, 6185, 1421, 5441, 540, 8828, 21600, 7490, 27189, 5999, 543, 22227, 547, 3824, 5090, 14714, 1168, 691, 287, 14369, 333, 12975, 269, 11289, 596, 256, 623, 4041, 17955, 10691, 292, 692, 2162, 26488, 585, 8641, 532, 27155, 12793, 692, 3682, 1027, 675, 585, 8641, 532, 27155, 12793, 623, 3287, 264, 815, 513, 562, 1535, 562, 1341, 513, 562, 268, 272, 1535, 562, 268, 272, 1341, 1341, 513, 476, 272, 1535, 1341, 513, 476, 271, 1677, 3113, 623, 3287, 2567, 1306, 606, 1383, 267, 649, 786, 4983, 519, 1739, 9971, 1599, 281, 623, 3287, 264, 815, 476, 273, 343, 476, 274, 476, 274, 343, 476, 273, 476, 2537, 343, 1341, 476, 1321, 476, 272, 269, 14419, 692, 2162, 476, 272, 269, 278, 269, 3487, 658, 17773, 269, 476, 272, 269, 278, 269, 272, 269, 21929, 12793, 543, 3487, 658, 17773, 269, 589, 7787, 1599, 568, 513, 23479, 540, 1079, 21335, 281, 681, 3287, 264, 815, 623, 630, 343, 264, 1627, 3287, 6393, 269, 278, 269, 11553, 2316, 299, 674, 13612, 16739, 476, 274, 269, 278, 269, 3487, 658, 17773, 269, 278, 907, 21929, 12793, 543, 3487, 658, 17773, 269, 7787, 1599, 568, 513, 23479, 540, 1079, 21335, 281, 681, 3287, 264, 815, 623, 630, 343, 264, 1627, 3287, 1040, 3371, 649, 1865, 875, 547, 11753, 7787, 692, 2162, 9338, 12283, 289, 6938, 476, 273, 595, 6938, 476, 273, 11555, 26177, 910, 30667, 476, 272, 268, 277, 8382, 8791, 692, 3201, 12283, 289, 6938, 476, 273, 595, 6938, 476, 273, 11555, 26177, 910, 30667, 476, 272, 268, 277, 8382, 8791, 631, 8085, 2316, 303, 4041, 8863, 302, 21201, 476, 272, 269, 4888, 306, 281, 595, 476, 273, 269, 4888, 306, 281, 589, 476, 274, 269, 4888, 306, 281, 589, 28267, 297, 281, 476, 276, 268, 274, 269, 272, 4635, 7638, 23753, 4813, 15562, 18306, 4888, 14684, 2207, 476, 275, 269, 4888, 306, 281, 630, 343, 1341, 476, 277, 7565, 343, 476, 273, 476, 277, 343, 1341, 476, 3607, 264, 28267, 297, 281, 476, 277, 268, 275, 269, 273, 14572, 12307, 676, 692, 2162, 634, 6396, 540, 3487, 658, 17773, 4569, 476, 13199, 20145, 4083, 11354, 476, 1001, 276, 692, 305, 1049, 3252, 269, 607, 634, 6396, 540, 3487, 658, 17773, 4569, 476, 1556, 20145, 4083, 11354, 476, 27888, 31962, 602, 513, 7787, 1599, 568, 513, 23479, 540, 1079, 21335, 971, 535, 3287, 264, 575, 3287, 264, 815, 476, 274, 343, 276, 1341, 1535, 476, 274, 1341, 476, 1626, 343, 1535, 476, 2568, 269, 634, 1505, 692, 2162, 623, 7473, 2793, 300, 570, 6938, 2562, 5058, 623, 5357, 312, 301, 6865, 24361, 306, 269, 20113, 476, 272, 269, 4855, 513, 9971, 609, 7533, 14170, 4171, 21325, 1331, 476, 273, 1341, 476, 276, 780, 303, 7473, 2793, 300, 570, 6938, 2562, 5058, 623, 5357, 312, 301, 6865, 24361, 306, 630, 8310, 8242, 281, 5437, 476, 1704, 267, 476, 1001, 276, 264, 3816, 1046, 269, 901, 568, 513, 1592, 540, 5751, 593, 21335, 269, 20353, 3241, 589, 269, 700, 1069, 320, 20113, 476, 272, 269, 4855, 513, 9971, 609, 7533, 14170, 4171, 21325, 1331, 692, 2162, 6167, 290, 3036, 3918, 6311, 3633, 623, 17803, 11550, 302, 12396, 692, 15893, 543, 543, 7223, 5440, 2975, 476, 1704, 27155, 338, 476, 1704, 269, 272, 11137, 4208, 1451, 713, 286, 3807, 607, 1297, 568, 4121, 538, 5933, 267, 865, 1932, 616, 11708, 269, 1411, 723, 1044, 2679, 707, 1702, 540, 11708, 543, 3252, 936, 942, 780, 2162, 20698, 9792, 3955, 335, 15684, 568, 513, 1505, 540, 17501, 606, 3830, 547, 513, 1305, 540, 2798, 602, 3252, 1134, 950, 972, 616, 1906, 2798, 2016, 780, 21691, 8662, 338, 630, 2419, 269, 272, 264, 5530, 6651, 676, 29172, 267, 808, 299, 267, 589, 313, 267, 16671, 267, 15562, 267, 670, 299, 20698, 9792, 3955, 335, 15684, 568, 513, 1505, 540, 17501, 606, 3830, 547, 513, 1305, 540, 2798, 602, 3252, 1134, 950, 972, 616, 1906, 2798, 2016, 269, 590, 26474, 521, 1505, 692, 2162, 20023, 281, 1403, 623, 568, 513, 9971, 543, 952, 524, 568, 513, 1297, 971, 602, 623, 630, 322, 264, 815, 476, 271, 1287, 524, 568, 513, 4642, 540, 623, 780, 21316, 295, 476, 8099, 1556, 674, 18853, 5058, 11555, 3201, 2098, 2207, 5308, 23794, 308, 5508, 589, 623, 5357, 312, 301, 6865, 24361, 26479, 281, 27155, 281, 568, 513, 1599, 540, 519, 1106, 623, 630, 343, 264, 815, 513, 562, 1535, 562, 1341, 513, 562, 476, 272, 1535, 562, 476, 272, 1341, 1341, 513, 1535, 1341, 513, 476, 272, 1535, 1341, 513, 476, 271, 269, 634, 2338, 513, 562, 267, 513, 562, 476, 272, 267, 24222, 513, 476, 272, 267, 513, 476, 271, 616, 1572, 692, 2162, 25767, 538, 707, 21641, 281, 5410, 606, 1383, 540, 1142, 2165, 609, 519, 6698, 1031, 538, 7223, 476, 273, 952, 972, 616, 1022, 780, 31580, 476, 273, 910, 3848, 2776, 7528, 28987, 18500, 25767, 538, 707, 21641, 281, 5410, 606, 1383, 540, 1142, 2165, 609, 519, 6698, 1031, 538, 7223, 476, 273, 952, 972, 616, 1022, 269, 623, 272, 533, 269, 476, 272, 476, 272, 269, 10203, 3799, 1823, 264, 2338, 910, 2715, 272, 267, 273, 267, 274, 267, 275, 28011, 10926, 2162, 27155, 25285, 543, 12307, 692, 21691, 8662, 25285, 543, 12307, 901, 568, 513, 2731, 2673, 5346, 4605, 540, 4764, 269, 26419, 269, 634, 4605, 4564, 9991, 1216, 7745, 1524, 883, 6675, 267, 1142, 609, 1079, 7250, 8444, 4448, 547, 835, 5135, 692, 2162, 6715, 23552, 540, 21929, 12793, 692, 18204, 23552, 540, 21929, 12793, 8845, 681, 269, 674, 738, 517, 11137, 589, 7787, 1599, 814, 519, 1106, 1141, 533, 543, 7117, 616, 21335, 269, 1280, 1383, 267, 678, 3287, 264, 815, 533, 3287, 264, 7117, 3287, 264, 535, 3287, 264, 815, 1535, 273, 476, 274, 1535, 476, 275, 1341, 476, 274, 267, 575, 6025, 264, 815, 512, 277, 1341, 476, 275, 339, 476, 273, 476, 274, 267, 476, 278, 339, 476, 276, 1341, 476, 274, 339, 692, 2162, 476, 274, 269, 273, 634, 16748, 14497, 543, 634, 3816, 664, 1457, 14497, 692, 274, 269, 634, 16748, 14497, 543, 634, 3816, 664, 1457, 14497, 476, 6872, 476, 274, 269, 634, 16748, 14497, 543, 634, 3816, 664, 1457, 14497, 14597, 649, 6999, 547, 1265, 519, 21325, 540, 535, 3287, 264, 815, 1535, 476, 274, 1341, 476, 275, 343, 476, 276, 343, 476, 275, 269, 17553, 535, 3287, 264, 815, 476, 271, 2164, 538, 519, 9971, 692, 2162, 476, 272, 17976, 281, 16949, 540, 7787, 3252, 676, 17883, 692, 299, 15145, 281, 16949, 540, 7787, 3252, 676, 17883, 883, 9864, 8454, 25506, 543, 11753, 2596, 7787, 3252, 267, 4849, 950, 519, 14009, 568, 513, 1379, 540, 606, 9048, 3027, 1043, 13392, 780, 2162, 476, 272, 269, 274, 10789, 545, 25285, 692, 272, 269, 274, 10789, 545, 25285, 589, 9971, 568, 606, 4082, 540, 519, 1106, 281, 513, 562, 1535, 562, 1341, 513, 562, 476, 272, 1535, 562, 476, 272, 1341, 1862, 1341, 513, 476, 273, 1535, 476, 273, 1341, 513, 476, 272, 1535, 1341, 513, 476, 271, 634, 2338, 513, 476, 272, 267, 513, 476, 273, 267, 24222, 513, 562, 616, 1572, 14170, 269, 3962, 540, 519, 5094, 2694, 10484, 2162, 476, 277, 12327, 307, 21715, 5058, 9338, 12283, 289, 6938, 269, 476, 277, 269, 271, 4985, 269, 476, 277, 269, 272, 634, 12945, 3830, 269, 20505, 692, 277, 12327, 307, 21715, 5058, 9338, 12283, 289, 6938, 3848, 476, 277, 6987, 2056, 10789, 20505, 2991, 4974, 713, 3184, 596, 1058, 1174, 2553, 17929, 4834, 540, 12945, 4110, 543, 2362, 666, 581, 12193, 282, 581, 2111, 547, 3815, 1047, 692, 2162, 476, 277, 269, 272, 5410, 1299, 16265, 847, 27155, 20309, 1299, 12793, 692, 277, 269, 272, 5410, 1299, 16265, 847, 27155, 20309, 1299, 12793, 20505, 476, 272, 269, 5700, 519, 2495, 540, 519, 1913, 2165, 267, 1395, 6706, 267, 23481, 267, 959, 30796, 267, 9971, 267, 4110, 267, 11664, 267, 899, 2474, 267, 9971, 30775, 527, 517, 267, 844, 731, 4135, 545, 692, 280, 269, 274, 14572, 28065, 12307, 676, 4635, 519, 28065, 16754, 476, 280, 269, 274, 28267, 297, 4488, 30888, 2464, 476, 272, 269, 16534, 513, 13392, 3830, 676, 1210, 519, 13392, 4542, 476, 273, 269, 14419, 519, 2470, 540, 519, 3435, 540, 513, 13392, 3830, 692, 2162, 10789, 1133, 17569, 539, 12474, 1280, 519, 1007, 5871, 11759, 4441, 602, 786, 581, 2500, 538, 782, 3345, 10491, 3506, 538, 519, 476, 1001, 273, 268, 1724, 1153, 1032, 780, 1607, 3561, 568, 2966, 547, 948, 3345, 10491, 7855, 4001, 519, 5871, 11759, 630, 24092, 6092, 540, 5530, 1040, 715, 7374, 18444, 5234, 616, 16111, 21130, 543, 5355, 891, 2645, 547, 1732, 4196, 3610, 269, 10789, 692, 2162, 623, 5357, 312, 301, 6865, 24361, 674, 7419, 290, 16739, 692, 303, 5357, 312, 301, 6865, 24361, 674, 7419, 290, 16739, 27155, 10406, 907, 476, 27183, 634, 21929, 20023, 4530, 32465, 28766, 29439, 27525, 521, 14329, 540, 20050, 1862, 476, 29204, 634, 3816, 664, 1457, 14497, 32465, 4029, 15531, 782, 2098, 14058, 540, 513, 27155, 9577, 2807, 1862, 3451, 5675, 513, 692, 2162, 4082, 568, 2854, 23276, 269, 634, 7831, 2474, 16733, 273, 7565, 476, 275, 4297, 1317, 789, 616, 519, 2063, 2474, 540, 519, 1079, 21335, 269, 901, 568, 1572, 519, 29332, 6579, 1505, 780, 288, 9971, 540, 4110, 562, 630, 514, 835, 4756, 267, 609, 1483, 14170, 264, 568, 606, 4082, 540, 519, 1106, 281, 513, 562, 1535, 562, 1341, 513, 562, 476, 272, 1535, 562, 476, 272, 1341, 513, 562, 476, 273, 1535, 562, 476, 273, 1341, 1341, 513, 476, 273, 1535, 476, 273, 1341, 513, 476, 272, 1535, 1341, 513, 476, 271, 1141, 513, 562, 267, 513, 562, 476, 272, 267, 513, 562, 476, 273, 267, 513, 476, 273, 267, 513, 476, 272, 267, 513, 476, 271, 616, 692, 2162, 13335, 269, 20895, 269, 476, 274, 268, 272, 27155, 12793, 476, 274, 268, 273, 15531, 21929, 2098, 14058, 540, 269, 27155, 269, 476, 274, 268, 274, 20976, 26305, 7464, 2098, 14058, 540, 780, 21691, 8662, 543, 21929, 12793, 20895, 476, 274, 268, 272, 27155, 12793, 476, 274, 268, 273, 15531, 21929, 2098, 14058, 540, 27155, 338, 476, 274, 268, 274, 20976, 26305, 7464, 2098, 14058, 540, 27155, 338, 476, 274, 268, 275, 21929, 12793, 3848, 476, 274, 6828, 11314, 1384, 2162, 476, 280, 269, 623, 5357, 312, 301, 6865, 24361, 306, 269, 7151, 476, 272, 281, 634, 4082, 513, 3287, 264, 815, 1535, 476, 274, 476, 275, 343, 476, 273, 1341, 476, 278, 343, 476, 1556, 568, 513, 9971, 538, 1535, 269, 634, 14170, 540, 513, 3287, 264, 616, 519, 2338, 476, 272, 267, 476, 275, 267, 476, 278, 267, 476, 1556, 780, 280, 269, 623, 5357, 312, 301 ]

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

[ 2186, 540, 6653, 3694, 269, 634, 3636, 267, 25970, 20416, 1500, 1744, 16336, 779, 5023, 1216, 269, 634, 7023, 20493, 16990, 569, 269, 968, 296, 4941, 547, 9684, 596, 585, 782, 540, 519, 14274, 267, 543, 594, 723, 547, 16153, 602, 594, 3576, 513, 1906, 824, 1919, 543, 12479, 596, 9327, 1406, 2247, 3034, 4537, 16336, 7948, 1406, 1589, 540, 4376, 3116, 538, 1200, 4677, 602, 1185, 1044, 4502, 16276, 543, 1767, 607, 1454, 269, 968, 17764, 267, 855, 596, 1705, 2223, 519, 7023, 1767, 269, 968, 2791, 1185, 930, 540, 519, 840, 1777, 5006, 1990, 1075, 577, 7236, 594, 4076, 2479, 2938, 3034, 4537, 16336, 729, 11821, 269, 2098, 1075, 577, 7236, 538, 1200, 4677, 286, 1358, 22821, 1406, 1256, 12630, 1022, 1990, 1075, 577, 7236, 269, 16393, 972, 723, 1044, 835, 887, 326, 826, 1990, 1075, 577, 7236, 602, 17708, 1540, 909, 538, 930, 7944, 540, 519, 13452, 286, 6884, 519, 4677, 4371, 1346, 2370, 26208, 267, 855, 1744, 16336, 7948, 1406, 4952, 1141, 621, 1131, 581, 563, 3719, 1200, 7023, 29739, 602, 972, 2731, 941, 6505, 25984, 1990, 1075, 577, 7236, 538, 1744, 16336, 779, 4677, 269, 1358, 14201, 1406, 5458, 267, 855, 789, 941, 30362, 543, 22691, 267, 609, 513, 8799, 5835, 512, 16636, 563, 4537, 16336, 779, 7279, 3893, 519, 1732, 540, 1200, 543, 1352, 1185, 547, 979, 1294, 1141, 519, 1990, 1075, 577, 7236, 1185, 6738, 269, 634, 1079, 540, 873, 15336, 1927, 883, 519, 18147, 543, 936, 547, 513, 11903, 602, 729, 3395, 2282, 519, 14274, 269, 1879, 519, 7023, 11329, 693, 519, 1279, 3039, 5388, 267, 1744, 16336, 20493, 563, 2108, 11039, 267, 2965, 267, 1346, 616, 31480, 602, 649, 2760, 19122, 267, 1317, 789, 3893, 1932, 2462, 267, 2571, 543, 15280, 585, 4189, 610, 666, 940, 3034, 763, 7023, 6743, 693, 1744, 16336, 267, 8710, 2854, 782, 936, 1200, 3068, 269, 2701, 575, 592, 6244, 513, 1906, 2053, 267, 543, 1287, 267, 32127, 267, 4371, 856, 519, 3694, 267, 851, 540, 513, 16801, 1352, 1185, 3838, 782, 936, 519, 8378, 269, 968, 296, 4547, 596, 513, 8799, 3138, 2378, 540, 29475, 3694, 269, 594, 4126, 596, 899, 621, 3034, 1607, 4677, 24983, 5129, 856, 609, 513, 2013, 540, 19451, 10448, 3961, 563, 5629, 596, 1451, 875, 547, 1688, 3049, 23832, 18346, 267, 596, 3580, 581, 27086, 693, 875, 2653, 621, 568, 256, 3399, 676, 2870, 713, 2241, 18789, 23832, 12704, 28680, 547, 13793, 538, 707, 6885, 269, 3973, 267, 950, 519, 23832, 18346, 616, 1031, 547, 8023, 689, 621, 267, 2490, 621, 883, 513, 1688, 13463, 671, 23832, 12704, 28680, 543, 3142, 519, 2962, 1318, 909, 2673, 2336, 268, 476, 1321, 6279, 540, 476, 1240, 3766, 879, 613, 7601, 5911, 454, 268, 476, 272, 270, 273, 20878, 32137, 7484, 609, 513, 8559, 538, 519, 3490, 454, 268, 21311, 1449, 8546, 609, 1698, 454, 268, 5463, 20753, 19273, 630, 28436, 994, 268, 14464, 8768, 1510, 6565, 454, 268, 9540, 5911, 2759, 1562, 454, 268, 1773, 4536, 630, 1721, 6335, 532, 543, 3303, 2718, 5911, 994, 29493, 606, 476, 279, 20878, 4062, 689, 519, 7601, 5911, 269, 2913, 519, 5911, 6923, 1491, 513, 3368, 2173, 3019, 3337, 269, 700, 864, 476, 273, 6279, 540, 519, 5911, 998, 519, 8559, 538, 519, 32137, 7484, 543, 1287, 16784, 543, 6335, 519, 5911, 2394, 5150, 563, 289, 754, 519, 3476, 1439, 540, 519, 5911, 9900, 609, 707, 3946, 883, 606, 9095, 267, 6028, 476, 274, 270, 275, 10759, 693, 519, 1360, 1439, 585, 519, 13622, 602, 786, 8936, 547, 519, 28680, 269, 6875, 707, 726, 4536, 543, 1118, 513, 1804, 8520, 693, 519, 1360, 1439, 540, 519, 9095, 267, 8108, 513, 1352, 23311, 779, 13622, 267, 609, 519, 1930, 1439, 593, 519, 1283, 610, 6849, 909, 269, 901, 786, 1118, 621, 4443, 547, 8936, 519, 8023, 8546, 3533, 543, 786, 2061, 519, 28680, 689, 9991, 1055, 563, 12648, 519, 6967, 476, 275, 6279, 540, 7601, 5911, 543, 16833, 621, 1472, 519, 1449, 8546, 267, 609, 835, 1439, 1454, 3476, 982, 519, 824, 269, 2422, 726, 4536, 547, 6335, 543, 5150, 519, 5911, 547, 519, 1449, 8546, 269, 901, 1058, 4734, 513, 476, 274, 270, 275, 20878, 2766, 6967, 547, 8936, 513, 16560, 4837, 29950, 269, 22391, 519, 8258, 596, 723, 1500, 811, 982, 28870, 909, 519, 8546, 267, 865, 602, 950, 2407, 267, 519, 28680, 786, 3251, 909, 563, 20228, 728, 1776, 29950, 5196, 519, 1930, 1439, 540, 519, 5911, 20386, 1472, 519, 8546, 543, 946, 726, 4536, 547, 18700, 519, 5911, 543, 2673, 621, 909, 4625, 269, 3767, 519, 7601, 5911, 568, 20386, 16119, 1472, 519, 8023, 8546, 543, 596, 723, 513, 8520, 547, 8936, 547, 707, 13622, 609, 519, 32137, 7484, 563, 13014, 513, 1507, 8559, 538, 519, 8546, 779, 1698, 267, 1747, 621, 593, 519, 8546, 543, 1093, 651, 519, 1439, 540, 519, 5841, 8768, 998, 519, 4099, 865, 602, 519, 23832, 18346, 666, 1205, 693, 519, 22060, 607, 6923, 607, 2009, 269, 1403, 519, 8768, 3085, 1406, 723, 513, 8559, 538, 621, 267, 1118, 835, 609, 513, 8930, 563, 16920, 778, 519, 6806, 8520, 593, 519, 8546, 547, 519, 16057, 1922, 5217, 1352, 23311, 779, 13622, 609, 519, 32137, 7484, 269, 5269, 2386, 707, 6885, 568, 2973, 865, 519, 32137, 7484, 786, 581, 5150, 563, 5629, 789, 4076, 1336, 707, 28680, 267, 596, 3580, 1616, 547, 917, 875, 547, 3049, 23832, 18346, 676, 1688, 269, 2991, 519, 5017, 616, 6899, 1210, 519, 28680, 609, 596, 7404, 267, 1491, 519, 1985, 1900, 269, 4495, 519, 5017, 8038, 2476, 267, 3180, 519, 28680, 538, 707, 1688, 6849, 2476, 689, 596, 269, 13773, 607, 1869, 607, 2009, 269, 4495, 519, 5017, 1205, 1031, 547, 596, 267, 789, 3580, 1935, 596, 1510, 4250, 2336, 6624, 1004, 5326, 540, 1565, 875, 547, 1688, 3049, 23832, 18346, 269, 901, 18789, 1688, 13463, 671, 23832, 12704, 28680, 568, 519, 3501, 1259, 547, 1376, 2336, 12441, 333, 1406, 1205, 1472, 547, 7738, 856, 1346, 8768, 15135, 713, 2887, 286, 3767, 596, 666, 17854, 621, 1765, 2254, 1152, 568, 621, 1434, 585, 707, 2371, 267, 855, 621, 779, 849, 513, 1390, 1426, 2707, 585, 519, 5017, 256, 594, 3580, 16153, 594, 13948, 946, 891, 2300, 4926, 513, 2370, 1932, 1419, 547, 2322, 1055, 15489, 26050, 269, 5901, 538, 2247, 602, 596, 786, 991, 547, 4894, 1022, 30428, 2371, 267, 855, 6028, 519, 6079, 24481, 2371, 909, 2965, 4679, 519, 4960, 540, 519, 2371, 685, 5162, 6668, 269, 1656, 609, 6777, 344, 2395, 543, 16171, 17334, 267, 707, 905, 9312, 2828, 616, 3168, 585, 1426, 1175, 827, 9170, 789, 666, 1205, 621, 267, 865, 789, 3580, 5660, 519, 3063, 1426, 519, 2371, 1683, 563, 1103, 513, 1158, 540, 9583, 11566, 2030, 543, 12202, 1587, 5079, 267, 621, 779, 1271, 547, 723, 4388, 267, 15361, 267, 543, 2093, 3358, 547, 596, 269, 4855, 856, 1018, 2186, 540, 32529, 596, 616, 267, 543, 1205, 5796, 547, 948, 596, 1332, 707, 1655, 4677, 2943, 2336, 13126, 281, 1548, 9877, 540, 8493, 10273, 3657, 1411, 286, 0, 9928, 21329, 7330, 910, 15930, 454, 12901, 2884, 600, 2817, 30895, 454, 347, 21900, 657, 676, 5484, 16721, 601, 6390, 454, 9928, 21329, 7330, 30310, 19534, 454, 763, 544, 4428, 1194, 14941, 781, 8909, 5066, 814, 10726, 454, 763, 17199, 781, 2063, 31024, 3248, 5591, 811, 593, 1272, 781, 31959, 4927, 2743, 454, 6546, 12703, 543, 15468, 1906, 563, 4002, 674, 877, 781, 18163, 22742, 2666, 2676, 19853, 14980, 512, 757, 616, 3262, 2676, 4517, 3794, 800, 22651, 267, 609, 32444, 5180, 2676, 763, 536, 643, 537, 659, 540, 519, 4666, 563, 763, 6406, 2782, 6370, 693, 26588, 1186, 7921, 267, 15930, 267, 6825, 4937, 10557, 781, 1101, 12289, 540, 519, 3345, 269, 4438, 602, 835, 1554, 593, 5181, 476, 1704, 267, 476, 5908, 273, 267, 811, 982, 476, 2537, 267, 1822, 2367, 941, 20754, 267, 7166, 610, 4080, 7508, 267, 519, 1973, 5006, 835, 6377, 6370, 540, 519, 6406, 2782, 269, 634, 1259, 519, 4666, 941, 26558, 1176, 12617, 3366, 547, 513, 29695, 8289, 267, 20872, 513, 1544, 585, 519, 4165, 2884, 600, 2817, 30895, 269, 634, 28200, 729, 6192, 676, 5181, 476, 5908, 278, 538, 942, 585, 519, 11428, 18428, 593, 519, 11359, 16683, 540, 519, 6370, 563, 763, 4165, 2884, 600, 2817, 30895, 538, 26588, 1186, 7921, 6585, 519, 30401, 540, 476, 5325, 278, 277, 5742, 4666, 267, 609, 936, 476, 5197, 271, 30401, 6825, 7164, 269, 4014, 513, 1906, 540, 519, 4666, 8694, 909, 538, 1858, 5939, 524, 655, 2678, 625, 267, 1034, 25096, 941, 12617, 538, 554, 4292, 267, 609, 4609, 8151, 689, 2582, 30401, 547, 1279, 267, 13719, 512, 29168, 585, 7366, 540, 4703, 269, 1635, 4728, 267, 476, 5908, 276, 267, 519, 3557, 540, 15930, 3964, 513, 8628, 19746, 3135, 676, 11449, 476, 1556, 14143, 585, 1175, 936, 835, 8536, 9489, 269, 1234, 5793, 2590, 519, 4666, 729, 606, 818, 706, 748, 4305, 267, 9991, 5097, 547, 1079, 2367, 267, 26826, 6153, 543, 9478, 28711, 269, 29179, 11884, 540, 741, 942, 267, 519, 4666, 941, 4857, 676, 5022, 267, 1019, 2456, 267, 11147, 267, 7436, 593, 741, 26797, 610, 7047, 16466, 10833, 267, 543, 11042, 609, 14077, 543, 15000, 269, 2311, 2112, 781, 1439, 267, 15280, 1145, 267, 19220, 543, 3668, 540, 7482, 6854, 519, 7013, 28583, 919, 689, 30565, 532, 741, 4666, 693, 4165, 2884, 600, 563, 763, 17721, 22307, 1512, 31790, 6763, 607, 513, 4099, 12328, 540, 519, 28200, 267, 9380, 539, 538, 476, 6942, 277, 676, 6276, 24504, 339, 1729, 269, 634, 25342, 18533, 6763, 476, 4510, 3952, 7381, 267, 20604, 538, 693, 476, 7742, 9748, 269, 634, 18533, 267, 1217, 958, 1634, 607, 454, 23945, 2659, 16731, 454, 301, 792, 2421, 18745, 540, 9314, 454, 15648, 9736, 476, 1220, 280, 268, 1428, 18148, 16721, 601, 6390, 454, 5472, 7126, 27616, 0, 307, 11698, 267, 5130, 476, 4029, 267, 476, 1001, 278, 454, 5591, 891, 616, 711, 3043, 17436, 269, 2334, 568, 1018, 513, 6666, 1512, 693, 513, 2199, 17365, 4558, 4280, 1082, 1296, 3516, 269, 1358, 616, 16163, 333, 2354, 543, 1250, 8152, 27512, 20516, 6068, 873, 563, 3383, 1018, 616, 16163, 333, 2354, 286, 888, 303, 1513, 333, 2354, 568, 513, 3597, 10448, 602, 568, 1644, 9103, 646, 31577, 543, 16163, 2917, 269, 28611, 6738, 607, 606, 5993, 855, 568, 5963, 513, 536, 1329, 333, 658, 2030, 269, 634, 16163, 30876, 568, 1279, 8546, 899, 3597, 602, 568, 8645, 11954, 538, 1312, 2960, 543, 17145, 269, 634, 3476, 2451, 538, 519, 2666, 621, 3587, 4418, 2678, 538, 8137, 269, 1717, 952, 2451, 547, 1279, 621, 786, 8768, 693, 519, 6565, 543, 519, 3597, 786, 581, 1875, 17580, 563, 763, 16163, 30876, 814, 1044, 1031, 607, 513, 10448, 585, 1082, 1296, 543, 7389, 1394, 547, 14564, 946, 269, 634, 16163, 30876, 8452, 538, 519, 772, 2529, 6993, 538, 519, 476, 866, 628, 2540, 563, 303, 1513, 333, 2354, 666, 581, 5423, 513, 1297, 540, 2081, 269, 1358, 616, 7363, 11273, 1354, 4189, 855, 949, 849, 581, 17696, 6151, 269, 29807, 333, 2354, 616, 1164, 538, 1312, 8324, 543, 6886, 269, 29807, 333, 2354, 616, 1164, 538, 11379, 267, 14434, 543, 6775, 269, 0, 303, 19948, 593, 6249, 281, 834, 14549, 4197, 540, 1312, 3047, 543, 6611, 814, 932, 6548, 3683, 5384, 5149, 661, 281, 13445, 2290, 1701, 1765, 19809, 13973, 912, 14549, 4197, 540, 1312, 3047, 543, 6611, 814, 932, 6548, 3683, 5384, 5149, 661, 281, 13445, 2290, 454, 272, 269, 272, 7216, 14358, 6168, 519, 15328, 21573, 5291, 2517, 4178, 28938, 2593, 11320, 2255, 286, 341, 284, 654, 343, 29841, 301, 3041, 340, 297, 23354, 261, 10623, 1155, 284, 22366, 454, 9199, 9535, 15328, 332, 1670, 15638, 15020, 2027, 5993, 2621, 538, 3504, 2053, 941, 1151, 560, 1182, 543, 1226, 514, 2135, 525, 563, 28606, 2195, 15585, 566, 543, 1530, 3517, 2423, 2195, 10047, 543, 519, 1946, 12405, 4755, 454, 22069, 560, 823, 3752, 560, 823, 1107, 4564, 519, 20125, 543, 13074, 5712, 540, 21765, 1107, 15604, 1151, 560, 823, 281, 20125, 1974, 540, 21765, 5463, 269, 476, 2641, 588, 538, 519, 8832, 25955, 1107, 14400, 1151, 560, 823, 281, 13074, 1974, 540, 21765, 4873, 476, 2641, 588, 538, 519, 8832, 25955, 454, 13420, 514, 2135, 4982, 514, 2135, 1107, 3115, 637, 757, 5712, 540, 3160, 1554, 543, 3781, 1107, 4201, 636, 2522, 1226, 514, 2135, 281, 4386, 538, 519, 2887, 5181, 476, 2420, 26998 ]

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

[ 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 277, 266, 31918, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 22209, 16552, 543, 32100, 454, 25238, 539, 5344, 547, 519, 3965, 540, 23067, 626, 28965, 2473, 13183, 641, 9567, 657, 2008, 347, 3369, 846, 1433, 3126, 968, 26473, 22044, 609, 595, 637, 25728, 334, 9495, 1496, 272, 267, 273, 267, 274, 316, 15427, 476, 713, 1957, 2008, 347, 2171, 953, 568, 711, 827, 2348, 513, 2603, 540, 2724, 282, 621, 779, 827, 2348, 513, 2603, 540, 3681, 2008, 347, 2419, 5142, 9412, 630, 13563, 635, 539, 1014, 267, 5856, 267, 16073, 543, 8689, 10245, 347, 394, 510, 31149, 14832, 16483, 10382, 26018, 30307, 364, 31057, 494, 19031, 30307, 364, 13179, 15770, 16483, 685, 31057, 494, 19031, 14267, 413, 379, 355, 26420, 394, 511, 16708, 22886, 630, 5472, 602, 568, 9553, 594, 4163, 609, 803, 10245, 21270, 5362, 540, 30410, 2940, 630, 821, 540, 519, 5722, 5259, 521, 1137, 282, 476, 277, 628, 524, 269, 7460, 282, 2008, 347, 638, 6838, 538, 5824, 676, 595, 545, 3266, 267, 21537, 2135, 320, 853, 18757, 28262, 594, 267, 476, 279, 267, 607, 968, 25537, 11844, 803, 320, 803, 322, 636, 2823, 334, 892, 10245, 1492, 4909, 2042, 540, 6848, 2079, 609, 513, 9039, 638, 10329, 1935, 267, 513, 1007, 7406, 540, 4704, 3710, 2390, 4207, 5672, 25233, 3741, 267, 1519, 2489, 1949, 3069, 543, 1344, 3069, 563, 15187, 334, 1696, 620, 269, 2073, 945, 849, 1031, 13391, 13704, 685, 3069, 267, 3177, 2370, 948, 538, 5587, 4328, 1018, 1514, 23811, 568, 269, 21298, 267, 667, 532, 320, 1696, 620, 269, 2073, 2679, 593, 13391, 13704, 779, 3069, 267, 5587, 1881, 267, 2864, 12007, 569, 267, 519, 1523, 540, 1514, 23811, 607, 5205, 281, 630, 328, 264, 621, 3112, 581, 540, 513, 5687, 17871, 1826, 282, 630, 4512, 264, 621, 1590, 581, 524, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 13286, 12793, 543, 20518, 1903, 257, 607, 851, 540, 834, 21316, 30388, 1315, 13129, 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 ]

[ 875, 7250, 5950, 689, 2241, 22803, 6675, 454, 7945, 607, 993, 710, 1532, 528, 6951, 609, 519, 6626, 3804, 540, 3384, 2994, 547, 454, 516, 951, 4601, 5391, 4733, 7250, 689, 891, 6675, 563, 347, 7656, 269, 20219, 301, 8025, 2464, 3041, 5442, 309, 5357, 309, 5058, 454, 347, 6271, 8905, 649, 616, 3695, 547, 454, 14127, 3693, 1700, 324, 2211, 7554, 454, 529, 998, 519, 5108, 540, 1970, 29705, 550, 15998, 269, 17449, 454, 2181, 15479, 832, 547, 1970, 1130, 550, 15998, 616, 1634, 585, 14402, 2609, 971, 454, 553, 3327, 610, 9436, 269, 901, 568, 711, 3020, 585, 519, 18219, 1292, 31228, 454, 324, 6123, 269, 1284, 723, 1044, 14236, 13672, 268, 601, 574, 1588, 2676, 2169, 337, 4288, 540, 513, 1970, 29705, 550, 23650, 689, 513, 5912, 2173, 13926, 267, 607, 835, 454, 335, 6372, 8905, 547, 891, 2186, 540, 2249, 269, 21298, 267, 649, 723, 4362, 454, 1492, 1101, 3236, 540, 29512, 13672, 268, 1513, 514, 573, 2940, 17594, 563, 347, 1284, 616, 454, 10193, 5461, 538, 12423, 5499, 454, 709, 5052, 547, 17034, 1970, 29705, 550, 1292, 31228, 15998, 269, 589, 2487, 454, 31141, 538, 713, 1858, 568, 938, 7041, 540, 513, 943, 657, 6495, 1779, 2940, 454, 9852, 1961, 9908, 609, 513, 623, 284, 290, 6125, 264, 676, 454, 12133, 542, 540, 606, 568, 30662, 728, 883, 513, 1990, 597, 935, 1756, 14428, 6664, 11501, 6125, 269, 769, 713, 454, 516, 9146, 267, 649, 1491, 513, 20749, 2139, 16903, 2707, 267, 513, 3119, 454, 874, 6664, 710, 267, 543, 3927, 1569, 513, 8485, 514, 573, 2940, 9497, 11266, 8442, 23650, 609, 454, 347, 5978, 2468, 600, 18480, 8533, 23838, 454, 17647, 1044, 11212, 3811, 3976, 2484, 269, 1284, 2503, 602, 519, 2746, 2032, 454, 1993, 891, 2249, 666, 581, 22934, 676, 19260, 547, 519, 5885, 14270, 663, 563, 13295, 267, 649, 3343, 547, 2087, 5551, 3601, 543, 2746, 2032, 676, 4657, 454, 1492, 14270, 663, 1062, 269, 1284, 723, 13175, 513, 5698, 609, 7905, 4856, 320, 454, 10387, 800, 2160, 607, 851, 540, 891, 454, 347, 10932, 538, 519, 4826, 2006, 6828, 568, 1252, 3585, 6462, 676, 513, 1297, 540, 8041, 998, 14828, 543, 17758, 563, 27138, 269, 590, 269, 2817, 3163, 5853, 5406, 630, 326, 7949, 1297, 595, 4047, 268, 5881, 275, 278, 8618, 273, 994, 268, 10932, 15278, 585, 3163, 21992, 618, 998, 513, 595, 2714, 22641, 10104, 13815, 547, 681, 269, 654, 563, 25575, 15728, 623, 269, 3752, 534, 7690, 998, 513, 3194, 26665, 23050, 547, 681, 269, 654, 563, 12677, 11906, 5980, 8891, 15950, 3194, 8750, 630, 326, 7949, 1297, 476, 5379, 277, 5780, 280, 8566, 274, 994, 13305, 1069, 2632, 6611, 16827, 3117, 24832, 630, 24836, 9958, 3194, 32113, 1218, 1222, 585, 1323, 2297, 324, 631, 5417, 2135, 994, 268, 19061, 10323, 3633, 630, 8999, 1067, 7616, 585, 1164, 1153, 1053, 994, 268, 4462, 1853, 640, 540, 28599, 630, 11034, 5346, 7482, 994, 8310, 9168, 4873, 476, 279, 267, 476, 1220, 280, 476, 4962, 281, 1839, 0, 288, 943, 14535, 1460, 568, 513, 26704, 6177, 609, 513, 2766, 540, 4190, 4154, 543, 2699, 20034, 720, 630, 528, 13711, 543, 4544, 267, 676, 930, 2959, 1040, 898, 814, 513, 476, 7785, 268, 8517, 1032, 1272, 268, 12860, 267, 543, 2282, 519, 1439, 519, 943, 14535, 1460, 13976, 3294, 513, 9566, 540, 24036, 1000, 12127, 602, 621, 1287, 5337, 2572, 282, 1312, 9566, 543, 6177, 6633, 18979, 569, 543, 616, 4389, 547, 607, 1127, 267, 689, 799, 513, 1007, 267, 1762, 943, 14535, 1460, 610, 943, 14535, 1460, 4212, 14340, 267, 6450, 1941, 606, 1168, 547, 2661, 1586, 269, 634, 1007, 943, 14535, 1460, 568, 30758, 547, 2661, 607, 1279, 607, 922, 2025, 1582, 269, 769, 930, 2984, 267, 519, 1007, 943, 14535, 1460, 2377, 531, 916, 519, 607, 1127, 540, 922, 2025, 1582, 538, 606, 4212, 1500, 540, 1250, 337, 9071, 543, 12074, 621, 538, 519, 12266, 2749, 540, 4477, 11340, 12994, 630, 15711, 2749, 538, 5259, 1040, 634, 6177, 729, 849, 1767, 547, 16956, 4733, 950, 10413, 610, 20754, 676, 513, 535, 4141, 267, 3976, 1373, 3592, 32161, 543, 1045, 4532, 1043, 2443, 621, 568, 849, 1767, 602, 621, 666, 12115, 513, 1268, 609, 513, 15237, 689, 922, 4064, 543, 1118, 873, 17303, 4761, 547, 2669, 282, 898, 568, 513, 3090, 540, 3595, 543, 2820, 6541, 269, 0, 13563, 11595, 10378, 9218, 540, 519, 2296, 5678, 267, 19549, 9990, 454, 268, 7755, 269, 10671, 3931, 513, 1804, 18820, 282, 14427, 563, 268, 7755, 269, 4460, 539, 676, 1164, 5777, 281, 7199, 8637, 563, 28495, 1722, 9218, 543, 20676, 31638, 454, 268, 8779, 569, 282, 8506, 610, 1303, 9430, 1454, 13258, 281, 607, 267, 606, 7199, 10571, 610, 16491, 720, 282, 606, 7199, 1920, 282, 7199, 16919, 610, 6208, 563, 268, 5131, 538, 1163, 2056, 282, 12666, 282, 3063, 341, 698, 656, 282, 20662, 880, 563, 294, 26214, 28732, 781, 476, 4489, 274, 454, 268, 7755, 269, 12769, 5235, 532, 13258, 282, 10912, 585, 12666, 7979, 599, 282, 14427, 282, 15210, 282, 12666, 563, 268, 7755, 269, 4686, 5131, 538, 1163, 2056, 282, 1360, 12666, 282, 2523, 267, 538, 513, 3983, 2631, 281, 3063, 341, 698, 656, 282, 20662, 880, 563, 268, 7755, 269, 1164, 538, 3902, 610, 12123, 1164, 5777, 454, 268, 3245, 5824, 1163, 839, 643, 639, 267, 689, 13358, 699, 267, 5635, 13258, 630, 310, 1731, 5406, 776, 994, 2108, 7712, 19202, 17263, 13339, 568, 7199, 267, 1498, 267, 1210, 1164, 7779, 14848, 2306, 3859, 2281, 1256, 9041, 3467, 9041, 19763, 3034, 2108, 8005, 30128, 952, 789, 723, 1018, 596, 782, 24231, 547, 607, 7199, 5321, 543, 6517, 1862, 15367, 30128, 950, 789, 4312, 6707, 6659, 519, 1985, 5108, 540, 31852, 543, 3765, 920, 1218, 3034, 2108, 29834, 1131, 711, 2161, 875, 1454, 519, 7634, 883, 570, 637, 1088, 781, 715, 7563, 288, 13542, 1131, 1942, 267, 4352, 519, 6280, 814, 21534, 1079, 1018, 646, 1572, 834, 19763, 257, 3549, 547, 948, 3034, 24685, 2259, 267, 10097, 8027, 4667, 547, 1611, 968, 335, 3233, 1004, 2713, 538, 7199, 16973, 1848, 7536, 28490, 594, 2097, 1524, 609, 1978, 7199, 2564, 2042, 267, 1250, 4357, 1072, 1416, 2754, 666, 2161, 267, 834, 2005, 781, 711, 4988, 3034, 29467, 781, 1945, 844, 790, 29737, 827, 519, 21730, 20271, 894, 13909, 1895, 7836, 5215, 540, 6550, 540, 1857, 2724, 543, 9363, 538, 7199, 20730, 593, 513, 834, 2399, 4466, 257, 7552, 547, 29761, 3034, 2108, 3674, 621, 811, 982, 513, 6519, 31050, 7260, 20386, 538, 7199, 575, 574, 1157, 787, 18313, 2108, 307, 773, 621, 909, 538, 7199, 1072, 1416, 543, 2362, 9204, 547, 2628, 585, 824, 1004, 3478, 1416, 1287, 596, 723, 1447, 6666, 2095, 547, 707, 17927, 3034, 2108, 3528, 2484, 519, 2547, 7199, 568, 17842, 267, 799, 594, 3494, 630, 3286, 676, 3965, 264, 729, 1472, 1269, 4792, 300, 3034, 2108, 3719, 950, 24144, 4975, 8065, 6238, 4730, 519, 30209, 3556, 267, 596, 917, 1945, 31945, 543, 7199, 568, 827, 547, 4755, 3034, 4322, 3593, 29931, 730, 8638, 2270, 519, 2262, 2048, 19763, 17483, 12690, 1357, 22563, 19388, 334, 1031, 5097, 538, 2780, 5752, 563, 263, 1930, 1592, 267, 4351, 1145, 267, 2930, 3822, 267, 2520, 2131, 3717, 12467, 1690, 1314, 267, 3593, 267, 14721, 267, 4395, 754, 267, 1394, 754, 267, 6538, 267, 13483, 331, 267, 7014, 267, 1289, 267, 2531, 267, 11768, 267, 579, 328, 543, 476, 275, 4375, 811, 2483, 288, 2347, 1592, 540, 519, 3039, 6486, 630, 611, 16633, 264, 689, 519, 2442, 2262, 3014, 563, 25802, 2596, 1913, 585, 26613, 1053, 563, 8266, 2287, 547, 713, 607, 606, 8301, 1433, 585, 519, 2034, 942, 269, 7033, 744, 262, 289, 31151, 3096, 2241, 1913, 543, 2453, 547, 1390, 1198, 269, 15020, 1906, 4652, 600, 1791, 543, 2462, 1913, 1547, 634, 1603, 2511, 19595, 803, 540, 1913, 689, 2977, 2483, 7069, 19887, 267, 693, 1948, 275, 290, 538, 1250, 2679, 267, 568, 849, 1634, 607, 674, 1830, 20782, 269, 901, 1592, 3568, 1913, 543, 2453, 689, 938, 2199, 1893, 267, 7132, 930, 4967, 593, 519, 6165, 540, 10211, 6919, 538, 713, 1507, 14081, 563, 19185, 585, 17408, 1115, 585, 7199, 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 ]

[ 3184, 454, 1691, 6486, 538, 1305, 454, 293, 3224, 454, 12988, 454, 338, 2217, 454, 1103, 7194, 543, 11050, 1382, 12191, 267, 513, 1239, 3732, 568, 513, 1305, 540, 1239, 6394, 543, 5924, 5697, 689, 513, 8579, 2551, 676, 513, 3989, 5650, 454, 11743, 454, 1103, 6128, 267, 1611, 814, 1896, 1114, 8847, 4470, 593, 519, 2796, 454, 4364, 1014, 454, 763, 11667, 568, 519, 1871, 19459, 519, 2362, 3368, 540, 513, 1239, 3732, 267, 513, 2551, 267, 610, 513, 5506, 3892, 267, 689, 519, 2539, 3368, 454, 332, 1712, 454, 763, 7154, 568, 519, 1871, 602, 5526, 1034, 1419, 538, 513, 1305, 540, 1239, 454, 719, 17067, 454, 1103, 7194, 267, 606, 7979, 1512, 568, 606, 8343, 1448, 602, 568, 11397, 689, 824, 7422, 454, 9792, 454, 1103, 12980, 267, 519, 2039, 540, 513, 1305, 540, 1239, 568, 519, 3017, 1063, 519, 4102, 543, 10545, 2418, 454, 20598, 11539, 454, 1103, 7194, 267, 519, 3044, 11539, 568, 513, 2268, 602, 568, 1031, 547, 22945, 519, 2179, 540, 8390, 610, 24980, 540, 513, 1305, 540, 1239, 2418, 454, 325, 15968, 454, 293, 15968, 568, 519, 1297, 540, 20825, 540, 513, 18110, 2680, 829, 1770, 942, 454, 7290, 6945, 454, 288, 27008, 568, 513, 21370, 6041, 540, 519, 3892, 540, 10230, 1239, 454, 32483, 850, 454, 1103, 10855, 7194, 267, 519, 14415, 3796, 540, 513, 19486, 1305, 540, 1239, 2418, 616, 519, 1614, 2798, 602, 7941, 519, 1239, 1305, 883, 2185, 3160, 2516, 267, 1142, 1895, 16030, 513, 10116, 540, 519, 1239, 454, 704, 1417, 850, 454, 288, 30878, 568, 513, 2268, 1031, 538, 7194, 10834, 519, 1871, 2630, 799, 513, 2016, 6871, 540, 7422, 538, 513, 1895, 540, 7422, 2887, 454, 322, 636, 11494, 4908, 454, 290, 636, 11494, 4908, 2079, 568, 519, 2079, 540, 519, 4908, 540, 12136, 540, 2418, 540, 513, 7613, 1447, 982, 513, 4704, 1871, 454, 11907, 454, 10574, 568, 513, 1305, 540, 2418, 540, 12007, 610, 11050, 4632, 454, 321, 574, 27567, 454, 1103, 7194, 267, 513, 536, 574, 27567, 3892, 568, 513, 6024, 5506, 3892, 609, 1079, 1114, 12331, 692, 2414, 12260, 713, 8755, 15258, 1305, 596, 1590, 581, 513, 5530, 2593, 16588, 269, 0, 639, 692, 258, 2696, 17043, 527, 1004, 256, 476, 277, 270, 273, 263, 272, 266, 273, 264, 568, 476, 280, 269, 1215, 535, 7052, 1262, 2182, 1223, 621, 581, 31841, 30206, 538, 1412, 763, 966, 652, 756, 2544, 262, 3323, 676, 9371, 28398, 267, 4455, 476, 2767, 267, 476, 1001, 272, 780, 8253, 1930, 585, 2417, 30491, 780, 16274, 912, 22261, 476, 2641, 267, 476, 1220, 280, 454, 300, 612, 1137, 912, 6078, 267, 4037, 275, 454, 306, 11965, 14877, 692, 16274, 912, 12914, 476, 1556, 267, 476, 1220, 276, 454, 300, 612, 1137, 912, 736, 267, 6924, 273, 692, 16274, 912, 13202, 476, 280, 267, 476, 1001, 271, 454, 300, 612, 1137, 912, 4029, 267, 280, 7597, 692, 275, 269, 12693, 910, 293, 4141, 24552, 538, 24324, 630, 18484, 1405, 264, 2339, 780, 16274, 912, 11321, 476, 3066, 267, 476, 1220, 278, 454, 300, 612, 1137, 912, 279, 267, 29257, 454, 277, 270, 273, 263, 272, 266, 273, 264, 18092, 476, 277, 265, 272, 270, 273, 16732, 272, 266, 273, 264, 18092, 476, 277, 265, 272, 270, 273, 16732, 274, 264, 18092, 476, 274, 265, 274, 815, 476, 280, 692, 16274, 912, 13356, 476, 276, 267, 476, 1001, 271, 454, 300, 612, 1137, 912, 6858, 267, 1960, 454, 19613, 912, 4306, 17751, 19836, 3722, 3633, 454, 277, 270, 277, 284, 272, 692, 277, 269, 12693, 9412, 297, 517, 305, 3326, 5591, 984, 692, 16274, 912, 11321, 476, 1691, 267, 476, 1001, 272, 454, 300, 612, 1137, 912, 273, 267, 275, 4792, 454, 296, 3913, 1681, 645, 7495, 300, 3008, 2306, 803, 14220, 1932, 780, 278, 269, 12693, 966, 2033, 330, 318, 2918, 5591, 984, 692, 16274, 912, 20225, 476, 2420, 267, 476, 1220, 280, 454, 300, 612, 1137, 912, 274, 267, 25628, 454, 323, 573, 594, 4413, 1945, 1934, 2496, 279, 269, 12693, 744, 9536, 31306, 5591, 7043, 518, 513, 3143, 984, 692, 16274, 912, 22261, 476, 2537, 267, 476, 1001, 271, 454, 300, 612, 1137, 912, 2190, 267, 31430, 454, 296, 1810, 1405, 1174, 519, 10539, 269, 898, 781, 2241, 513, 2878, 29688, 634, 20735, 933, 568, 476, 280, 780, 280, 269, 12693, 1744, 4176, 318, 305, 599, 638, 18054, 313, 320, 674, 944, 26926, 483, 26827, 692, 16274, 912, 15037, 476, 2767, 267, 476, 1220, 278, 454, 300, 612, 1137, 912, 2412, 267, 279, 3583, 454, 10144, 616, 1427, 12023, 780, 1015, 269, 12693, 13793, 1478, 10734, 1195, 1432, 993, 594, 1869, 3257, 1934, 2496, 16274, 912, 22261, 476, 280, 267, 476, 1220, 275, 454, 300, 612, 1137, 912, 4366, 267, 276, 2918, 454, 2080, 568, 519, 1655, 7778, 594, 4312, 2938, 780, 19667, 1707, 666, 581, 17370, 9287, 607, 8691, 269, 1280, 1383, 1384, 275, 21680, 476, 273, 666, 581, 17370, 9287, 607, 476, 275, 2608, 476, 272, 270, 273, 269, 1924, 267, 27682, 519, 3312, 1966, 538, 891, 2474, 692, 277, 383, 371, 273, 263, 272, 266, 273, 264, 3587, 692, 277, 2608, 630, 272, 270, 273, 264, 2608, 630, 272, 266, 273, 2020, 305, 792, 9792, 519, 476, 274, 2474, 782, 596, 899, 267, 543, 596, 1205, 476, 280, 692, 1556, 269, 12693, 9721, 268, 4517, 6261, 9613, 8253, 16124, 594, 6993, 10422, 780, 16274, 912, 19878, 476, 278, 267, 476, 1220, 279, 454, 300, 612, 1137, 912, 1240, 267, 277, 2537, 454, 277, 936, 476, 273, 263, 272, 266, 273, 264, 815, 476, 277, 936, 476, 273, 263, 274, 264, 815, 476, 277, 936, 476, 277, 815, 476, 272, 692, 1321, 269, 12693, 910, 293, 4141, 24552, 538, 24324, 630, 18484, 1405, 264, 2339, 780, 16274, 912, 11321, 476, 3066, 267, 476, 1220, 278, 454, 300, 612, 1137, 912, 279, 267, 29257, 454, 7312, 7778, 568, 11234, 269, 898, 1131, 581, 692, 277, 936, 476, 273, 263, 272, 936, 476, 272, 1341, 476, 273, 936, 476, 272, 264, 815, 476, 277, 936, 476, 273, 263, 274, 936, 476, 272, 264, 815, 476, 1240, 936, 476, 273, 815, 476, 280, 692, 1724, 269, 12693, 1744, 4176, 318, 305, 599, 638, 18054, 313, 320, 674, 944, 26926, 483, 26827, 692, 16274, 912, 15037, 476, 2767, 267, 476, 1220, 278, 454, 300, 612, 1137, 912, 2412, 267, 279, 3583, 454, 296, 16194, 268, 4517, 6261, 9613, 11540, 912, 277, 936, 476, 273, 263, 272, 266, 273, 264, 815, 476, 277, 936, 476, 273, 263, 274, 264, 815, 476, 277, 936, 476, 277, 815, 476, 272, 1496, 15590, 6012, 270, 23026, 638, 1774, 2639, 17472, 692, 1691, 269, 12693, 3983, 4777, 2758, 5591, 7043, 518, 513, 3143, 984, 692, 16274, 912, 22261, 476, 2641, 267, 476, 1220, 280, 454, 300, 612, 1137, 912, 6078, 267, 4037, 275, 454, 323, 573, 596, 6749, 856, 540, 1647, 1153, 2496, 277, 270, 273, 263, 272, 266, 273, 994, 277, 270, 273, 263, 274, 994, 274, 263, 274, 994, 284, 280, 692, 1492, 2338, 538, 24324, 979, 1101, 269, 1287, 519, 1840, 3830, 547, 519, 2451, 269, 543, 1287, 596, 9062, 519, 1079, 2164, 1927, 269, 621, 781, 711, 15177, 2257, 692, 1428, 269, 12693, 4307, 558, 275, 5158, 1839, 10673, 1405, 1413, 693, 713, 692, 16274, 912, 9802, 476, 1704, 267, 476, 1220, 280, 454, 300, 612, 1137, 912, 7761, 267, 278, 4391, 454, 19613, 912, 305, 777, 10794, 715, 539, 853, 1046, 454, 528, 596, 1100, 10849, 596, 666, 798, 692, 263, 277, 270, 273, 264, 2608, 630, 272, 266, 273, 2020, 1626, 269, 12693, 3541, 4148, 582, 337, 29909, 3502, 513, 3143, 984, 692, 16274, 912, 12914, 476, 1839, 267, 476, 1220, 274, 454, 300, 612, 1137, 912, 275, 267, 9818, 454, 3086, 594, 6415, 513, 1906, 1296, 6569, 689, 18375, 267, 855, 594, 3576, 1169, 4359, 2979, 1362, 2139, 538, 1250, 8664, 543, 711, 2899, 1705, 594, 2479, 1294, 476, 272, 266, 273, 538, 2878, 1262, 532, 24324, 269, 2878, 1262, 782, 540, 891, 16060, 543, 2878, 1262, 16764, 945, 14659, 621, 781, 865, 2759, 543, 2878, 1262, 532, 12015, 2901, 2878, 1262, 532, 1259, 269, 1744, 583, 519, 2878, 1262, 909, 780, 16274, 912, 19878, 476, 1626, 267, 476, 1220, 277, 454, 300, 612, 1137, 912, 2420, 267, 279, 4817, 692, 1240, 269, 12693, 966, 2033, 330, 318, 2918, 5591, 984, 692, 16274, 912, 20225, 476, 2420, 267, 476, 1220, 280, 454, 300, 612, 1137, 912, 274, 267, 25628, 454, 331, 565, 9631, 326, 561, 944, 952, 1775, 941, 596, 1775, 1131, 2760, 2022, 1586, 780, 866, 269, 12693, 910, 293, 4141, 24552, 538, 24324, 630, 18484, 1405, 264, 2339, 780, 16274, 912, 11321, 476, 3066, 267, 476, 1220, 278, 454, 300, 612, 1137, 912, 279, 267, 29257, 454, 6546, 781, 519, 1966, 1004, 616, 2348, 269, 1358, 616, 14921, 519, 19362, 476, 274, 676, 519, 14009, 476, 273, 269, 1677, 1732, 2491, 713, 596, 1058, 2328, 519, 3830, 856, 899, 713, 780, 263, 277, 270, 273, 31618, 272, 270, 272, 266, 273, 270, 272, 2020, 16274, 912, 14257, 476, 1839, 267, 476, 1001, 272, 454, 300, 612, 1137, 912, 21172, 692, 2641, 269, 12693, 562, 3089, 325, 534, 4391, 268, 1724, 268, 280, 692, 16274, 912, 13971, 476, 1015, 267, 476, 1220, 276, 454, 300, 612, 1137, 912, 1724, 267, 3393, 276, 454, 19613, 912, 309, 24860, 7460, 454, 1692, 827, 1004, 1954, 752, 514, 2322, 23049, 1472, 4238, 789, 1616, 6192, 1101, 286, 901, 814, 4986, 547, 798, 609, 2436, 610, 711, 1004, 666, 798, 4569, 269, 901, 814, 811, 547, 798, 609, 519, 2243, 1373, 10169, 24813, 780, 10214, 952, 621, 781, 711, 267, 875, 1954, 752, 514, 2182, 568, 621, 547, 1039, 1079, 811, 3197, 538, 519, 3830, 547, 1118, 621, 20501, 585, 3025, 2496, 2420, 269, 12693, 910, 293, 2001, 3953, 1320, 344, 1985, 535, 4141, 568, 538, 519, 15798, 728, 13946, 13718, 16274, 912, 15037, 476, 275, 267, 476, 1220, 280, 454, 300, 612, 1137, 912, 274, 267, 11260, 454, 328, 1810, 1405, 917, 1946, 267, 855, 594, 561, 565, 9364, 692, 277, 270, 273, 263, 272, 266, 273, 994, 284, 476, 277, 270, 273, 263, 274, 994, 284, 274, 263, 274, 994, 284, 280, 692, 17850, 267, 596, 1223, 798, 621, 713, 1259, 1384, 277, 270, 273, 263, 272, 266, 273, 994, 284, 277, 270, 273, 263, 274, 270, 272, 994, 284, 1240, 270, 273, 454, 284, 476, 280, 270, 272, 630, 528, 1175, 476, 280, 2020, 2537, 269, 12693, 9721, 268, 4517, 6261, 9613, 8253, 16124, 594, 6993, 10422, 780, 16274, 912, 19878, 476, 278, 267, 476, 1220, 279, 454, 300, 612, 1137, 912, 1240, 267, 277, 2537, 454, 5591, 269, 898, 781, 3388, 1354, 519, 1315, 5258, 676, 3388, 1310, 269, 4475, 267, 519, 1259, 594, 4312, 9788, 621, 856, 568, 2953, 269, 634, 2626, 1131, 581, 476, 280, 952, 621, 729, 630, 277, 5258, 676, 476, 273, 7565, 272, 266, 273, 1040, 1809, 2094, 621, 781, 476, 277, 5258, 676, 476, 273, 263, 272, 266, 273, 1070, 596, 1039, 519, 476, 272, 543, 519, 476, 273, 267, 1287, 9062, 676, 476, 273, 2094, 621, 781, 4448, 547, 519, 31455, 780, 16274, 912, 13356, 476, 1321, 267, 476, 1220, 280, 454, 300, 612, 1137, 912, 3066, 267, 4817, 274, 692, 1839, 269, 12693, 12048, 7749, 326, 15330, 2918, 295, 1446, 344, 22365, 28496, 781, 1948, 272, 674, 3198, 692, 16274, 912, 11321, 476, 273, 267, 476, 1220, 275, 454, 300, 612, 1137, 912, 2918, 267, 278, 6078, 454, 628, 1846, 2965, 476, 277, 936, 476, 273, 2053, 630, 272, 266, 273, 264, 512, 731, 692, 2918, 269, 12693, 634, 318, 306, 527, 6672, 2537, 5591, 7043, 518, 513, 3143, 984, 692, 16274, 912, 9802, 476, 1240, 267, 476, 1001, 271, 454, 300, 612, 1137, 912, 276, 267, 30420, 454, 2791, 723, 547, 1205, 7759, 540, 519, 23049, 1101, 780, 2767, 269, 12693, 11023, 1233, 1014, 28319, 1828, 29909, 3502, 513, 3143, 984, 692, 16274, 912, 13971, 476, 1789, 267, 476, 1001, 271, 454, 300, 612, 1137, 912, 274, 267, 280, 7830, 454, 10674, 2517, 4178, 9884, 6504, 1090, 10401, 2593, 270, 6358, 270, 286, 328, 284, 277, 260, 273, 293, 273, 260, 27005, 260, 273, 289, 273, 260, 3066, 692, 2764, 269, 12693, 13793, 1478, 10734, 1195, 1432, 993, 594, 1869, 3257, 1934, 2496 ]

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

[ 2451, 519, 20448, 540, 8315, 538, 5239, 476, 1001, 277, 1739, 9880, 540, 519, 4341, 540, 1876, 543, 1480, 2924, 6042, 676, 519, 1476, 539, 3130, 540, 2829, 563, 1103, 476, 1001, 276, 267, 22985, 7112, 781, 24288, 267, 715, 553, 515, 539, 267, 729, 30992, 547, 476, 1724, 1296, 538, 7890, 585, 834, 614, 2928, 1143, 257, 855, 7283, 538, 24815, 538, 519, 5177, 1310, 513, 7552, 547, 5507, 585, 2564, 2126, 269, 769, 2038, 5988, 476, 1001, 279, 267, 962, 877, 523, 10294, 513, 1533, 540, 6595, 543, 18486, 1010, 3368, 1532, 549, 750, 267, 476, 3199, 4458, 6040, 608, 6261, 637, 1211, 22985, 7112, 267, 1010, 5067, 2987, 25237, 543, 1079, 16488, 269, 634, 6433, 729, 15427, 676, 513, 5480, 15194, 602, 4847, 12964, 631, 11679, 945, 1185, 15468, 2476, 689, 519, 15194, 5428, 547, 2132, 547, 14618, 269, 962, 877, 523, 1131, 723, 4503, 519, 5354, 538, 14618, 267, 855, 646, 31439, 547, 2936, 519, 5480, 3664, 563, 4002, 5239, 476, 2764, 267, 476, 1220, 279, 267, 519, 6963, 518, 15011, 3139, 715, 553, 515, 539, 729, 11221, 519, 1101, 24339, 5597, 11307, 574, 1242, 7022, 269, 5019, 3949, 13264, 856, 538, 2038, 476, 1001, 273, 936, 519, 10654, 540, 519, 12751, 10456, 540, 519, 22518, 7040, 267, 19869, 1638, 320, 15011, 3139, 2073, 543, 519, 10966, 7040, 1572, 585, 1864, 547, 581, 5950, 689, 4108, 26692, 269, 634, 9794, 729, 9901, 609, 13817, 2265, 543, 3768, 826, 4776, 22460, 2126, 540, 11685, 8387, 1310, 19280, 519, 5305, 540, 513, 2229, 10404, 269, 2201, 5988, 476, 277, 267, 476, 1001, 273, 267, 972, 729, 606, 13986, 19420, 1996, 519, 7022, 269, 17318, 4573, 710, 619, 543, 3087, 2209, 1185, 13026, 519, 1533, 5925, 269, 715, 553, 515, 539, 1287, 9307, 1010, 29997, 566, 538, 513, 751, 4582, 2213, 2232, 269, 4340, 547, 513, 2229, 22557, 2006, 267, 1010, 1244, 14280, 786, 581, 15011, 25428, 20613, 515, 539, 670, 817, 656, 18556, 3320, 1491, 936, 519, 4013, 1870, 269, 30814, 12836, 941, 16516, 585, 5181, 476, 1001, 274, 2687, 547, 519, 5689, 15965, 1014, 11156, 269, 6736, 1344, 547, 519, 14669, 267, 519, 9550, 729, 10294, 6551, 3022, 269, 634, 12836, 267, 799, 941, 759, 3481, 27968, 585, 5239, 476, 736, 267, 476, 1001, 274, 267, 941, 15286, 676, 519, 7128, 593, 519, 1554, 540, 519, 9550, 269, 634, 20359, 9550, 729, 14578, 27185, 19861, 269, 7053, 267, 513, 1007, 9550, 3576, 1747, 593, 5437, 476, 280, 267, 476, 1001, 274, 269, 2201, 5437, 476, 1626, 267, 476, 1001, 274, 267, 19869, 1638, 320, 962, 877, 523, 729, 10294, 7022, 1310, 519, 16018, 941, 18886, 563, 13528, 518, 5518, 8575, 636, 3019, 19869, 592, 22985, 7112, 630, 3192, 279, 1700, 1220, 279, 264, 543, 3105, 5518, 15011, 3139, 715, 553, 515, 539, 267, 945, 1185, 19679, 883, 24815, 267, 4646, 606, 19710, 538, 476, 1001, 278, 547, 2196, 1996, 19869, 1638, 320, 962, 877, 523, 538, 519, 1985, 12836, 267, 538, 799, 789, 723, 1434, 16548, 540, 1967, 269, 634, 10966, 7040, 849, 12199, 602, 1896, 631, 11679, 945, 1185, 15468, 856, 540, 3870, 693, 962, 877, 523, 1590, 581, 5368, 26061, 269, 962, 877, 523, 16053, 519, 1931, 267, 10294, 513, 1533, 540, 6595, 593, 5988, 476, 276, 267, 476, 1001, 279, 543, 1185, 22985, 7112, 18486, 269, 634, 11685, 5828, 547, 3127, 547, 11177, 1931, 269, 962, 877, 523, 267, 593, 519, 824, 1688, 267, 568, 2808, 513, 1870, 7649, 540, 519, 4658, 781, 6243, 540, 3624, 4586, 1103, 5130, 476, 1960, 279, 513, 1007, 11156, 3357, 883, 3196, 269, 634, 1106, 540, 2229, 7283, 519, 16232, 14081, 269, 634, 7022, 543, 2212, 540, 2229, 723, 19957, 1379, 936, 519, 10324, 1547, 1261, 568, 11221, 585, 2947, 1296, 676, 513, 27033, 600, 1968, 14618, 267, 519, 20727, 18442, 1547, 634, 20727, 18442, 5161, 540, 476, 2004, 2818, 267, 476, 5655, 540, 7247, 616, 11221, 543, 5216, 616, 12912, 676, 519, 5518, 269, 2991, 519, 9550, 267, 519, 7022, 814, 547, 3068, 513, 22275, 31558, 563, 763, 5689, 323, 1161, 568, 513, 16232, 14081, 609, 9645, 3310, 689, 519, 7022, 281, 646, 568, 519, 2212, 540, 2229, 543, 8878, 14012, 282, 2394, 476, 1220, 277, 646, 729, 849, 3743, 585, 519, 3844, 4871, 543, 18083, 269, 1261, 5012, 519, 7128, 267, 7952, 267, 5032, 9856, 267, 3595, 8257, 543, 4140, 26547, 269, 589, 9668, 540, 7060, 1281, 711, 2291, 269, 634, 16232, 12836, 1491, 1747, 1169, 2947, 1296, 282, 519, 1004, 1528, 835, 540, 519, 1079, 10457, 9930, 3990, 676, 14618, 585, 7022, 609, 513, 2241, 5354, 269, 634, 1699, 1651, 3518, 550, 568, 594, 3630, 29538, 15011, 3139, 3752, 8811, 267, 945, 729, 11221, 593, 5181, 476, 2537, 267, 476, 1001, 279, 563, 300, 2129, 3139, 715, 553, 515, 539, 814, 1044, 2212, 540, 1533, 2094, 519, 1007, 12836, 538, 5239, 476, 1220, 279, 543, 519, 22576, 540, 519, 3105, 1651, 3518, 550, 8575, 636, 3019, 19869, 592, 22985, 7112, 593, 5437, 476, 1015, 267, 476, 1220, 279, 269, 22985, 7112, 729, 7022, 2094, 476, 3192, 279, 267, 1818, 621, 519, 13074, 1606, 6326, 2212, 540, 1533, 538, 5607, 269, 769, 1010, 3670, 4619, 16124, 16232, 12836, 267, 646, 729, 3006, 519, 1152, 11134, 585, 5604, 267, 543, 538, 476, 1220, 278, 267, 1510, 17874, 1010, 667, 14641, 5428, 267, 646, 3957, 5128, 513, 16232, 11134, 585, 519, 14232, 12836, 269, 4813, 518, 5518, 8575, 636, 3019, 19869, 592, 22985, 7112, 568, 849, 3238, 538, 16314, 759, 2176, 563, 1103, 519, 5689, 323, 1161, 267, 606, 11685, 602, 814, 1044, 15868, 2094, 476, 1960, 279, 814, 632, 1249, 334, 1152, 11478, 2094, 476, 1220, 276, 563, 1103, 4873, 476, 1220, 276, 519, 2818, 540, 519, 20727, 18442, 20366, 796, 29434, 3585, 538, 3870, 540, 513, 5163, 602, 1131, 5512, 519, 10661, 540, 513, 3818, 18407, 1062, 563, 7712, 1287, 267, 5518, 22985, 7112, 814, 7109, 730, 2947, 6105, 2433, 1010, 1378, 267, 782, 26730, 3215, 667, 14641, 267, 519, 9099, 6673, 267, 519, 1507, 6105, 9049, 7894, 543, 594, 7894, 267, 543, 519, 11180, 631, 7894, 630, 5689, 15965, 1014, 14891, 9549, 15426, 769, 1880, 267, 519, 2818, 540, 519, 631, 7894, 267, 1101, 543, 19466, 922, 5883, 8689, 693, 519, 942, 543, 15011, 3139, 715, 553, 515, 539, 267, 945, 729, 7022, 2394, 5988, 476, 1001, 273, 267, 941, 6534, 547, 9645, 1065, 1833, 543, 9993, 593, 741, 2797, 960, 563, 2414, 713, 1554, 267, 1152, 5771, 568, 7608, 607, 513, 4984, 538, 519, 5689, 323, 1161, 269, 2201, 4864, 476, 278, 267, 476, 1220, 279, 267, 5518, 15011, 25428, 19869, 592, 22985, 7112, 9783, 513, 1007, 11156, 799, 267, 538, 9137, 476, 280, 267, 24225, 546, 1070, 10238, 1080, 1875, 5336, 639, 3916, 4961, 689, 1373, 7608, 607, 1007, 4961, 269, 1717, 267, 713, 1281, 711, 4019, 547, 1004, 945, 941, 4535, 538, 519, 5689, 323, 1161, 543, 4171, 3237, 616, 2907, 4961, 267, 7488, 540, 741, 4984, 563, 293, 1495, 4442, 2924, 971, 607, 5191, 540, 4633, 543, 4082, 616, 11658, 282, 13458, 995, 3087, 2209, 616, 849, 18486, 538, 4434, 540, 543, 1282, 2797, 678, 718, 625, 269, 15213, 540, 4984, 568, 2769, 569, 16934, 563, 1103, 5147, 476, 1220, 274, 267, 2549, 333, 17965, 4139, 3370, 513, 1867, 593, 1480, 2924, 28407, 8149, 676, 5518, 22985, 7112, 781, 12512, 267, 934, 6748, 519, 8545, 540, 1210, 25711, 269, 5489, 664, 4315, 941, 29041, 543, 14736, 539, 543, 1185, 547, 22036, 1688, 322, 4428, 539, 585, 3108, 538, 519, 3141, 269, 1358, 1131, 581, 17792, 17864, 538, 5480, 563, 2467, 616, 1869, 3875, 2797, 14586, 538, 5689, 15965, 1014, 30813, 269, 634, 15769, 540, 519, 4830, 5769, 12139, 968, 306, 663, 3873, 534, 892, 723, 1044, 30992, 547, 1272, 26646, 585, 1164, 1726, 1783, 269, 1133, 342, 4372, 14761, 723, 1044, 19526, 2476, 267, 607, 723, 3909, 3401, 543, 5159, 269, 2311, 519, 1482, 942, 267, 519, 5449, 7022, 10736, 5449, 4108, 5656, 883, 30813, 910, 593, 10195, 2484, 2476, 689, 519, 17195, 20730, 540, 14666, 563, 763, 20448, 540, 8315, 12219, 15376, 20022, 538, 476, 1001, 277, 952, 519, 1480, 2924, 3510, 1705, 711, 2087, 269, 634, 5689, 323, 1161, 2229, 267, 5360, 8724, 827, 519, 15490, 2126, 543, 13779, 538, 922, 4835, 12602, 2073, 9307, 519, 15639, 563, 4002, 5988, 476, 276, 267, 476, 1001, 279, 267, 513, 1533, 540, 6595, 729, 10294, 676, 5518, 962, 877, 523, 269, 5518, 962, 877, 523, 15189, 547, 16783, 609, 519, 1931, 540, 519, 5689, 323, 1161, 10966, 7040, 10912, 585, 519, 5305, 540, 5216, 1033, 7134, 11685, 14761, 543, 513, 1427, 7434, 269, 769, 1840, 267, 519, 5480, 568, 14053, 519, 5368, 8063, 618, 540, 12964, 2818, 540, 14618, 563, 763, 5689, 323, 1161, 2817, 16470, 10414, 630, 300, 301, 5263, 264, 729, 4646, 689, 519, 2817, 8232, 6796, 630, 301, 7704, 264, 538, 476, 1220, 277, 1547, 898, 2882, 519, 13149, 17620, 2073, 519, 8232, 10466, 6828, 2073, 519, 17620, 540, 19296, 543, 513, 11076, 15050, 267, 799, 814, 1312, 4108, 543, 19742, 4247, 269, 634, 30400, 5263, 5794, 30733, 814, 476, 273, 670, 3201, 20144, 745, 341, 21484, 641, 1562, 24603, 676, 3127, 563, 763, 7022, 540, 519, 2197, 6585, 519, 18678, 4971, 269, 634, 22071, 540, 519, 30400, 5263, 568, 538, 645, 7701, 4673, 24230, 6062, 563, 9336, 6532, 1031, 585, 9235, 1590, 7500, 922, 1378, 3653, 1651, 514, 3130, 2030, 543, 922, 1378, 26869, 964, 531, 1588, 2371, 1547, 634, 5201, 2838, 585, 713, 568, 6383, 3592, 14311, 609, 17088, 18402, 269, 19045, 543, 5068, 3653, 689, 519, 3854, 5689, 2946, 543, 930, 7404, 10195, 616, 6394, 543, 546, 22981, 593, 519, 20203, 6532, 774, 559, 2378, 25775, 1547, 4107, 540, 519, 10195, 834, 4134, 2821, 540, 257, 741, 20203, 538, 519, 4262, 269, 1703, 568, 1100, 9744, 547, 26565, 540, 519, 1031, 3282, 689, 519, 3875, 16996, 610, 18402, 269, 634, 6299, 1076, 689, 15678, 5656, 849, 6140, 7475, 909, 538, 519, 4262, 563, 1103, 2259, 972, 568, 1175, 607, 2370, 2825, 4027, 538, 519, 5689, 323, 1161, 607, 972, 568, 2825, 4656, 269, 1703, 616, 4031, 585, 2825, 4027, 593, 1957, 267, 855, 10220, 609, 873, 568, 711, 16913, 543, 19374, 616, 711, 27052, 269, 1280, 1383, 267, 519, 3710, 5346, 1858, 540, 513, 18992, 1590, 711, 9765, 476, 736, 260, 540, 519, 6532, 781, 1858, 269, 634, 2259, 5654, 4625, 1114, 267, 799, 568, 2356, 5693, 7298, 547, 519, 21233, 593, 12625, 610, 22576, 269, 634, 2229, 1281, 711, 2638, 10220, 609, 519, 4070, 4566, 267, 6862, 616, 972, 1022, 24476, 585, 519, 8912, 13313, 269, 634, 2229, 568, 5461, 538, 607, 1082, 15805, 15135, 607, 2009, 269, 4107, 540, 519, 1007, 15678, 10195, 723, 1044, 3338, 5115, 539, 883, 519, 5551, 3337, 269, 901, 568, 2944, 998, 834, 323, 1042, 3101, 257, 543, 5070, 23028, 267, 799, 3123, 16854, 3441, 547, 519, 18625, 269, 17721, 29032, 585, 1367, 18992, 11800, 267, 585, 1383, 8575, 5446, 8270, 538, 519, 3162, 589, 686, 2311, 3326, 267, 616, 849, 6591, 676, 2679, 909, 519, 11818, 8122, 563, 2005, 568, 24193, 547, 6952, 16142, 538, 519, 9703, 540, 519, 693, 3326, 269, 1717, 267, 713, 568, 711, 16913, 267, 865, 602, 519, 2899, 5458, 16356, 2551, 540, 519, 5689, 323, 1161, 814, 20374, 267, 609, 519, 9868, 540, 513, 1906, 3788, 269, 1744, 10225, 616, 711, 13881, 267, 855, 9575, 585, 519, 13143, 540, 519, 27634, 547, 519, 10787, 5101, 543, 267, 1310, 519, 27634, 723, 1044, 2759, 630, 810, 10777, 968, 16356, 1710, 940, 9232, 1070, 16207, 1394, 883, 519, 4262, 267, 1141, 789, 829, 880, 538, 989, 3415, 269, 23207, 569, 621, 568, 1373, 1031, 593, 11818, 3165, 971, 607, 2699, 2879, 1952, 518, 543, 1423, 704, 325, 1639, 585, 519, 1158, 781, 17195, 6990, 269, 4595, 519, 3165, 616, 3020, 547, 741, 4087, 267, 741, 2551, 568, 13155, 269, 834, 301, 697, 10068, 2580, 799, 568, 2442, 593, 782, 15678, 10195, 267, 8309, 547, 519, 7771, 538, 3165, 13632, 269, 570, 4669, 956, 616, 849, 6870, 267, 855, 711, 519, 804, 8553, 267, 799, 1797, 602, 519, 5689, 323, 1161, 15991, 3132, 1022, 15556, 540, 16015, 563, 1103, 519, 3735, 476, 1960, 271, 338, 267, 519, 5689, 15965, 1014, 2229, 3964, 1804, 2127, 607, 513, 7286, 3084, 6288, 269, 3143, 1007, 15805 ]

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

[ 568, 30650, 599, 2963, 269, 670, 8986, 599, 2963, 568, 711, 2808, 607, 6325, 607, 1463, 610, 5926, 656, 658, 2963, 267, 1317, 519, 7198, 568, 711, 2139, 547, 581, 20402, 269, 1703, 616, 513, 1906, 2665, 1141, 30650, 599, 949, 581, 7608, 607, 2963, 269, 1280, 1383, 267, 950, 513, 1268, 11884, 8098, 1080, 741, 16203, 547, 1776, 1268, 267, 971, 607, 2576, 21334, 532, 547, 513, 6760, 538, 21569, 563, 291, 17805, 776, 15845, 901, 568, 1022, 2963, 602, 729, 2854, 267, 6592, 610, 6740, 269, 901, 2882, 281, 6054, 267, 31940, 267, 6486, 267, 11147, 267, 3280, 19827, 267, 8874, 267, 2756, 582, 16747, 267, 2780, 5638, 3092, 269, 20226, 786, 4983, 713, 1826, 540, 2963, 547, 1118, 2386, 602, 621, 568, 1483, 543, 540, 1434, 2298, 563, 16498, 15845, 901, 2882, 2168, 3615, 602, 616, 3254, 538, 5480, 543, 23405, 2944, 538, 5480, 269, 589, 7198, 2356, 12857, 513, 2168, 1843, 543, 6941, 1141, 519, 1843, 729, 1336, 267, 875, 621, 729, 1336, 267, 543, 1141, 621, 814, 1044, 6854, 2094, 621, 729, 1336, 563, 9199, 576, 15845, 6884, 2168, 2963, 568, 1360, 1507, 610, 1256, 15865, 547, 519, 2150, 11712, 3750, 269, 901, 1826, 540, 2963, 568, 1572, 10250, 2963, 269, 898, 2882, 1919, 899, 9416, 21646, 610, 29066, 538, 543, 1472, 519, 1858, 1141, 513, 6760, 3576, 1747, 269, 898, 1223, 849, 1331, 1360, 1507, 2168, 3615, 899, 513, 4552, 610, 6775, 689, 513, 4062, 540, 7802, 269, 901, 1826, 540, 2963, 1590, 581, 6394, 610, 13227, 1117, 676, 4966, 563, 1432, 666, 594, 798, 547, 1118, 2386, 519, 6760, 6429, 568, 6870, 286, 1403, 596, 616, 519, 1101, 835, 693, 513, 6429, 540, 513, 6760, 267, 596, 949, 581, 1572, 547, 2285, 2963, 538, 5480, 827, 1018, 596, 4718, 950, 596, 1101, 8452, 269, 2755, 596, 616, 7996, 585, 519, 7128, 1205, 2564, 3007, 585, 4896, 945, 2115, 621, 269, 1491, 4967, 540, 4376, 596, 1294, 267, 5873, 610, 9329, 269, 5269, 2386, 596, 2594, 519, 942, 269, 2721, 12222, 547, 1118, 707, 4967, 20501, 269, 2328, 1524, 519, 4408, 543, 9607, 540, 1022, 22168, 267, 543, 1022, 1344, 789, 2285, 596, 269, 9105, 873, 547, 3251, 693, 519, 6429, 2394, 519, 7128, 12446, 563, 1432, 666, 594, 798, 547, 1118, 2386, 519, 6760, 6429, 568, 6870, 286, 1331, 513, 6609, 540, 4896, 19035, 602, 596, 1294, 2282, 519, 6760, 6429, 269, 1118, 2386, 1100, 835, 13788, 519, 6429, 547, 3441, 610, 4894, 2963, 269, 1411, 1223, 1305, 909, 513, 11064, 609, 11746, 610, 4376, 3116, 2139, 267, 610, 1832, 513, 7450, 6806, 269, 2149, 10250, 2963, 971, 607, 29066, 267, 12483, 16493, 267, 16906, 20839, 338, 267, 3092, 269, 26603, 677, 782, 17101, 1004, 267, 971, 607, 3595, 610, 5605, 592, 766, 10986, 267, 547, 519, 6429, 269, 2328, 1524, 519, 3877, 540, 1022, 2242, 602, 941, 1500, 547, 519, 3312, 6429, 563, 1432, 666, 594, 798, 547, 1118, 2386, 519, 6760, 6429, 568, 6870, 286, 1879, 519, 7128, 12446, 1118, 2386, 596, 917, 945, 568, 538, 5279, 267, 543, 2490, 519, 5539, 585, 519, 6429, 936, 547, 602, 1268, 269, 901, 568, 1271, 1317, 519, 5480, 786, 991, 6169, 602, 972, 729, 1100, 2736, 538, 519, 5832, 540, 1004, 538, 5279, 540, 1368, 8973, 519, 2963, 269, 2347, 707, 4967, 269, 3417, 519, 2012, 540, 519, 1268, 538, 5279, 543, 519, 942, 950, 789, 3576, 1852, 540, 519, 6429, 269, 948, 519, 7128, 607, 2877, 267, 1287, 2132, 547, 707, 3339, 11645, 563, 1432, 1058, 594, 798, 952, 594, 723, 547, 1449, 1518, 538, 5480, 286, 901, 3561, 568, 1572, 513, 1016, 17763, 6511, 267, 543, 621, 786, 2995, 596, 4010, 950, 596, 1590, 581, 1459, 538, 5480, 547, 1449, 1518, 269, 901, 3561, 568, 606, 1931, 267, 711, 513, 7662, 269, 4634, 952, 596, 1689, 6009, 267, 519, 1016, 17763, 6511, 568, 1869, 538, 3196, 269, 1403, 596, 3111, 547, 2408, 267, 596, 1223, 3068, 733, 3319, 540, 5480, 10997, 269, 898, 568, 1271, 585, 596, 547, 1459, 513, 3318, 3239, 543, 547, 18609, 519, 5480, 602, 519, 2963, 602, 596, 616, 4758, 568, 6325, 269, 3371, 616, 930, 1919, 596, 666, 798, 547, 5965, 912, 27609, 532, 585, 7040, 28392, 2689, 782, 540, 707, 4967, 269, 2142, 2386, 540, 519, 942, 540, 1554, 267, 4266, 267, 543, 4087, 1141, 519, 10071, 3576, 1747, 269, 3619, 936, 519, 1931, 538, 799, 519, 2621, 5949, 267, 543, 2119, 547, 3314, 3169, 3877, 267, 971, 607, 4365, 2175, 267, 6132, 775, 2338, 267, 8654, 3092, 269, 28423, 547, 519, 22477, 827, 1018, 789, 1616, 547, 3142, 856, 538, 707, 21981, 543, 1018, 5686, 540, 2055, 519, 4347, 775, 15818, 949, 2307, 596, 269, 5269, 2386, 707, 7833, 568, 2973, 543, 4401, 539, 543, 602, 596, 616, 1134, 19081, 539, 269, 8347, 547, 12446, 2038, 538, 2013, 519, 1160, 5913, 12460, 814, 2055, 547, 2307, 596, 1354, 596, 1449, 1518, 269, 901, 786, 849, 2285, 596, 942, 547, 6001, 1354, 596, 616, 1572, 547, 519, 7198, 1796, 269, 1403, 596, 666, 1406, 12446, 2038, 267, 1118, 2386, 596, 12446, 593, 942, 563, 14818, 4328, 538, 7040, 5776, 610, 1694, 909, 2786, 269, 1684, 711, 1793, 13224, 610, 10709, 593, 519, 2427, 540, 519, 7198, 4216, 269, 6733, 693, 519, 17864, 950, 789, 2243, 596, 267, 543, 1463, 707, 4267, 547, 519, 9794, 610, 21139, 269, 28423, 10978, 569, 2614, 585, 3025, 547, 5873, 596, 543, 7444, 2614, 585, 519, 9794, 547, 1491, 4967, 269, 1684, 711, 2626, 811, 982, 519, 2243, 4280, 269, 634, 2626, 547, 968, 2691, 596, 18486, 1864, 267, 1705, 646, 2161, 4376, 9495, 568, 968, 8133, 2223, 711, 968, 8133, 267, 646, 1767, 646, 4769, 1406, 798, 621, 3034, 14818, 4328, 630, 11666, 4240, 264, 12315, 519, 5013, 267, 711, 707, 6644, 269, 1684, 711, 2161, 267, 968, 3891, 729, 3168, 1472, 547, 1294, 952, 4896, 729, 8384, 1864, 1848, 1411, 1223, 2161, 267, 968, 3891, 6743, 1472, 1419, 1848, 1403, 513, 2243, 7125, 585, 707, 6644, 267, 585, 1383, 267, 968, 24078, 1352, 896, 519, 3310, 540, 5061, 9495, 2161, 602, 596, 786, 723, 547, 2285, 606, 6644, 543, 2307, 952, 602, 568, 1018, 568, 4941, 269, 1403, 2901, 15818, 3615, 547, 513, 2243, 267, 3247, 269, 1684, 711, 2626, 2394, 519, 5480, 3652, 593, 519, 1843, 542, 269, 1403, 596, 1589, 513, 2243, 568, 1932, 2123, 267, 596, 949, 2307, 519, 9794, 952, 596, 1590, 2626, 621, 269, 28582, 547, 519, 9794, 607, 968, 7312, 12968, 712, 3034, 14818, 4328, 630, 11666, 4240, 264, 1403, 596, 798, 711, 917, 519, 2626, 547, 513, 2243, 267, 2161, 865, 538, 513, 1463, 1259, 269, 3680, 2453, 899, 968, 296, 7058, 892, 543, 968, 296, 1589, 1848, 3367, 689, 707, 4967, 1152, 952, 2556, 543, 952, 4847, 676, 519, 9794, 269, 2659, 21981, 1058, 581, 689, 707, 3965, 543, 596, 1058, 3277, 547, 707, 4967, 1152, 585, 1360, 1808, 3877, 267, 971, 607, 2576, 779, 3169, 1913, 269, 2422, 513, 30251, 267, 10257, 3159, 269, 1403, 596, 2161, 267, 968, 3891, 1185, 930, 7131, 338, 602, 646, 29709, 547, 2628, 585, 2223, 707, 3159, 568, 26878, 2880, 267, 543, 707, 21981, 949, 711, 581, 3144, 12517, 269, 898, 568, 711, 513, 6760, 547, 7340, 547, 2628, 585, 1945, 269, 8058, 3160, 2463, 585, 1312, 519, 1160, 5913, 12460, 543, 4347, 775, 17864, 269, 898, 568, 519, 4347, 775, 15818, 779, 2816, 547, 2243, 707, 10727, 269, 5213, 1406, 1491, 621, 13948, 269, 1403, 596, 1745, 3054, 3478, 14220, 267, 1832, 513, 9243, 4082, 593, 707, 3068, 269, 966, 274, 0, 1607, 4015, 786, 948, 1004, 693, 782, 2157, 1174, 519, 4909, 6436, 543, 2853, 540, 2500, 3375, 1818, 865, 602, 789, 666, 1118, 1732, 3664, 538, 741, 2123, 543, 3318, 2729, 269, 15080, 1331, 281, 634, 13229, 17423, 676, 8834, 674, 269, 667, 745, 14982, 282, 4634, 4210, 2355, 281, 589, 21929, 6396, 585, 10435, 11780, 32187, 676, 3627, 590, 269, 30623, 1180, 267, 25453, 700, 563, 6637, 476, 276, 910, 15440, 658, 3375, 1818, 269, 634, 1292, 9115, 540, 713, 3184, 1331, 782, 540, 519, 1739, 281, 7186, 540, 31707, 3375, 1818, 267, 9946, 607, 3375, 15670, 267, 2500, 3375, 1818, 267, 7496, 547, 2500, 3375, 1818, 267, 1895, 3375, 1818, 267, 5876, 538, 3375, 1818, 563, 1607, 1433, 7575, 547, 519, 1985, 3942, 267, 547, 1445, 593, 519, 1004, 7308, 1702, 4600, 2933, 269, 3502, 539, 4274, 20913, 15261, 580, 13754, 3278, 2487, 1382, 4681, 538, 5042, 2257, 543, 1644, 4610, 547, 4766, 875, 1004, 2965, 960, 269, 1261, 6212, 593, 875, 1004, 1451, 267, 3314, 267, 1118, 3664, 267, 4194, 2042, 543, 957, 2987, 2489, 267, 875, 1702, 12211, 547, 960, 2623, 269, 1635, 1620, 875, 1004, 960, 267, 9946, 666, 2087, 7145, 547, 2744, 8013, 5413, 563, 27287, 3206, 568, 519, 1148, 540, 9870, 1018, 568, 32436, 538, 938, 7744, 547, 519, 1377, 540, 598, 8894, 338, 4109, 6284, 269, 898, 568, 519, 1148, 540, 2921, 1852, 540, 938, 3206, 3157, 865, 607, 547, 1174, 454, 1492, 13374, 543, 11378, 602, 938, 3206, 18271, 563, 27287, 17024, 1174, 519, 11707, 540, 7744, 630, 628, 9722, 1040, 1358, 946, 713, 1174, 8894, 532, 547, 4383, 519, 17499, 7506, 602, 3565, 547, 741, 3375, 6194, 3157, 563, 296, 723, 2141, 4941, 547, 2328, 513, 1433, 602, 1131, 581, 1114, 689, 1169, 454, 1278, 1433, 593, 519, 2344, 269, 1703, 616, 1100, 2596, 2724, 2359, 2835, 454, 7474, 1683, 519, 2645, 543, 2200, 547, 3313, 543, 22945, 4267, 547, 454, 26051, 2883, 3871, 543, 1034, 1004, 779, 10296, 2883, 2042, 563, 2467, 616, 9118, 2123, 8804, 2835, 593, 519, 2344, 267, 855, 1082, 454, 4777, 711, 2232, 875, 547, 22945, 519, 25727, 540, 1142, 3510, 547, 1118, 519, 454, 20657, 2888, 602, 786, 948, 596, 3035, 707, 2883, 6859, 543, 12492, 2883, 454, 299, 9722, 19884, 13188, 267, 589, 3495, 11703, 17423, 7869, 543, 4937, 4982, 10329, 7869, 901, 3184, 814, 1031, 519, 570, 773, 321, 719, 3903, 605, 806, 560, 515, 3903, 540, 1153, 454, 30726, 2524, 3842, 8027, 3664, 553, 513, 7828, 998, 799, 547, 1353, 519, 4222, 540, 454, 8001, 531, 7375, 585, 2500, 3506, 3448, 547, 1346, 585, 824, 8378, 610, 1153, 454, 2467, 568, 606, 540, 339, 6709, 6838, 6031, 5156, 547, 723, 12090, 607, 513, 4457, 605, 14620, 281, 968, 9802, 454, 9767, 2661, 538, 4277, 2053, 6100, 898, 568, 1419, 711, 14648, 609, 513, 2318, 25664, 566, 2336, 4263, 1459, 267, 621, 1131, 581, 4023, 547, 2161, 602, 519, 4095, 8994, 2508, 2872, 568, 2713, 538, 454, 15517, 532, 2053, 269, 898, 3788, 547, 581, 2938, 875, 9797, 602, 666, 581, 14648, 563, 763, 2063, 1906, 1296, 723, 2938, 513, 3126, 540, 2621, 267, 1312, 1369, 543, 3544, 519, 4095, 454, 324, 1595, 344, 267, 799, 723, 1185, 513, 18111, 614, 1190, 1198, 593, 519, 2872, 269, 634, 1158, 607, 649, 6785, 621, 454, 13757, 4957, 538, 1082, 2081, 19601, 763, 4336, 540, 519, 4161, 649, 3068, 538, 5883, 891, 4220, 949, 581, 18447, 267, 855, 713, 1867, 1797, 602, 519, 454, 5319, 1444, 10837, 543, 519, 14540, 543, 1004, 649, 960, 609, 666, 2743, 621, 811, 3927, 269, 1284, 1590, 849, 454, 24708, 2386, 649, 1628, 513, 1732, 2078, 1063, 1346, 693, 1981, 543, 1346, 945, 4383, 713, 1981, 269, 13518, 811, 666, 454, 2041, 6913, 676, 8744, 782, 519, 5461, 6105, 1927, 998, 519, 5113, 10837, 779, 7580, 7650, 454, 1993, 782, 2959, 540, 14700, 609, 513, 3838, 1620, 540, 519, 4220, 563, 763, 19556, 7070, 4065, 8274, 630, 5960, 292, 289, 264, 540, 519, 2817, 454, 10932, 7027, 729, 3964, 538, 476, 2735, 276, 547, 1683, 3084, 5718, 454, 663, 5583, 585, 4507, 267, 3292, 267, 543, 2853, 5885, 519, 6454, 454, 1993, 6128, 2069, 693, 782, 2157, 269, 15099, 2326, 585, 9344, 454, 298, 268, 1321, 1404, 513, 3844, 1909, 538, 1018, 6128, 3584, 616, 6026, 538, 938, 454, 25217, 338, 267, 875, 519, 3584, 616, 3524, 10642, 543, 4843, 547, 1053, 267, 1018, 454, 548, 12069, 540, 1620, 616, 4397, 267, 1018, 1983, 1053, 786, 1020, 543, 454, 23463, 267, 663, 519, 8136, 631, 831, 1408, 16710, 630, 4456, 290, 264, 723, 1044, 6313, 799, 1949, 630, 18485, 1826, 543, 6712, 540, 519, 18239, 264, 1058, 581, 973, 777, 1388, 1242, 543, 10747, 1018, 602 ]

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

[ 0, 6092, 5149, 281, 10960, 12660, 687, 538, 19565, 11470, 24380, 3179, 281, 634, 7736, 1005, 25491, 540, 27673, 8709, 717, 26710, 781, 12280, 692, 1103, 713, 1576, 1770, 267, 649, 786, 5490, 2620, 883, 519, 4241, 1158, 540, 3662, 15274, 1369, 11174, 5708, 1305, 538, 519, 1977, 4639, 1247, 3695, 513, 9159, 3069, 4478, 519, 12357, 2669, 540, 12021, 7376, 27673, 8709, 717, 26710, 269, 1284, 786, 2253, 676, 6313, 519, 4644, 540, 3662, 15274, 538, 7262, 3332, 1354, 11362, 883, 519, 5667, 9407, 2013, 540, 8709, 717, 26710, 781, 27757, 543, 875, 1978, 3344, 1921, 547, 1585, 9565, 5515, 2429, 1686, 269, 3414, 2565, 2079, 543, 4901, 267, 1053, 786, 2744, 513, 9488, 1620, 540, 891, 10562, 4798, 543, 741, 10083, 2221, 780, 296, 269, 19043, 540, 10960, 12660, 687, 538, 19565, 11470, 24380, 3179, 454, 288, 269, 8490, 27919, 543, 17583, 454, 272, 269, 12292, 7674, 607, 1476, 573, 1218, 543, 2828, 454, 273, 269, 15043, 3929, 4987, 998, 4205, 609, 2831, 454, 274, 269, 28304, 10779, 885, 1927, 630, 324, 3052, 1421, 2168, 2591, 267, 10072, 994, 289, 269, 14484, 532, 8836, 18880, 543, 8466, 12745, 454, 272, 269, 10020, 540, 2831, 538, 20281, 1272, 630, 1740, 267, 6283, 267, 3354, 994, 273, 269, 3493, 11881, 540, 6805, 9082, 262, 3347, 609, 2831, 454, 274, 269, 21744, 8456, 2509, 7320, 5726, 543, 5683, 2126, 454, 290, 269, 10289, 10886, 4886, 543, 12618, 454, 272, 269, 26306, 540, 3197, 1813, 547, 741, 6125, 609, 2831, 454, 273, 269, 16497, 4121, 689, 2831, 630, 331, 5819, 1399, 267, 10100, 267, 6043, 994, 274, 269, 4635, 2831, 607, 6698, 540, 6418, 4222, 610, 6456, 1761, 692, 2862, 269, 634, 1133, 637, 9407, 8865, 540, 27673, 8709, 717, 26710, 781, 12280, 281, 589, 12653, 1457, 25491, 888, 288, 269, 12465, 10055, 281, 2672, 8336, 610, 6452, 1211, 888, 272, 269, 19768, 540, 598, 5477, 2963, 5885, 11980, 454, 273, 269, 25334, 2225, 540, 23139, 1582, 19899, 997, 5406, 1282, 23069, 454, 274, 269, 5403, 21065, 748, 7242, 860, 1944, 540, 8709, 717, 26710, 781, 2790, 1072, 9620, 454, 289, 269, 1715, 21126, 281, 670, 5669, 728, 7869, 454, 272, 269, 5983, 14750, 2079, 11021, 28067, 1404, 454, 273, 269, 7763, 1161, 5473, 17403, 267, 20947, 267, 610, 3318, 31195, 454, 274, 269, 17291, 1761, 31268, 1851, 8709, 717, 26710, 781, 29872, 1734, 454, 290, 269, 16340, 518, 20480, 281, 3955, 13512, 1441, 2876, 1559, 543, 6181, 9313, 454, 272, 269, 22627, 1063, 7499, 5322, 543, 2797, 16374, 454, 273, 269, 8177, 540, 28910, 2528, 593, 1857, 8226, 540, 3140, 2621, 454, 274, 269, 19078, 9270, 950, 556, 24834, 15070, 3964, 6386, 692, 7656, 269, 16949, 540, 10960, 12660, 687, 883, 519, 27673, 8709, 717, 26710, 21931, 454, 288, 269, 4325, 1529, 894, 31950, 926, 657, 12833, 6295, 10960, 12660, 687, 454, 272, 269, 10466, 610, 6304, 676, 8709, 717, 26710, 781, 4620, 15529, 454, 273, 269, 29526, 540, 524, 4900, 607, 9631, 839, 610, 25330, 454, 274, 269, 3474, 4150, 3149, 1063, 1480, 12845, 2711, 7554, 543, 7376, 2173, 2224, 6384, 454, 289, 269, 7464, 21509, 6201, 540, 20551, 262, 17716, 609, 12292, 454, 272, 269, 2605, 5866, 918, 1695, 5979, 781, 10367, 10023, 1200, 11537, 5243, 454, 273, 269, 11908, 744, 262, 298, 2465, 11738, 781, 4276, 547, 2470, 543, 2199, 21426, 454, 274, 269, 12634, 5159, 6220, 2831, 883, 1514, 16555, 454, 290, 269, 18964, 11879, 15154, 543, 11300, 20309, 454, 272, 269, 22718, 14070, 6589, 1759, 593, 3140, 6436, 454, 273, 269, 13891, 908, 5837, 10848, 4478, 8709, 717, 26710, 781, 2669, 454, 274, 269, 27588, 4244, 6386, 10128, 3662, 15274, 692, 9961, 713, 1576, 1770, 267, 1053, 786, 2263, 519, 15491, 5107, 540, 3662, 15274, 1369, 11174, 5708, 1305, 538, 519, 1977, 4639, 1247, 2502, 609, 4207, 9840, 1472, 27673, 8709, 717, 26710, 781, 28430, 8429, 269, 1635, 9691, 7421, 1312, 5339, 11269, 543, 3140, 5638, 267, 6267, 786, 3986, 741, 8223, 540, 2686, 2418, 267, 1915, 1646, 267, 543, 6626, 6848, 6286, 7915, 538, 891, 10578, 4296, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21202, 22062, 566, 609, 5261, 28199, 454, 763, 3382, 540, 519, 5412, 476, 1001, 275, 11709, 640, 12876, 4016, 547, 519, 2669, 540, 27673, 8709, 717, 26710, 607, 968, 9209, 779, 4279, 652, 25491, 1848, 1215, 798, 596, 1745, 827, 602, 888, 11039, 267, 15069, 594, 3858, 609, 621, 269, 2311, 2547, 547, 519, 1448, 602, 621, 781, 1148, 781, 6574, 12638, 9814, 269, 769, 1249, 267, 621, 1522, 1256, 581, 811, 4977, 547, 909, 519, 2706, 331, 894, 513, 711, 577, 543, 1289, 621, 834, 20931, 781, 6574, 12638, 9814, 4799, 10303, 267, 607, 519, 2407, 32725, 540, 713, 9814, 1831, 1634, 4534, 607, 789, 616, 1175, 4098, 547, 581, 4534, 594, 3494, 596, 9364, 581, 2182, 20399, 547, 2097, 909, 609, 1776, 3140, 12835, 4171, 2669, 568, 865, 695, 709, 4765, 538, 4230, 15929, 7399, 269, 2107, 835, 602, 5267, 971, 606, 12473, 4336, 540, 5256, 14179, 775, 3297, 621, 269, 2107, 835, 602, 865, 3841, 4601, 10301, 2250, 922, 3844, 4137, 547, 7485, 883, 922, 5641, 540, 9601, 543, 5636, 1622, 971, 3309, 3140, 24788, 2456, 607, 31839, 12251, 631, 7867, 8681, 267, 3798, 537, 731, 2494, 564, 543, 4165, 13908, 3203, 7596, 269, 1677, 1250, 2247, 267, 621, 779, 519, 3140, 12638, 9814, 540, 782, 3140, 12638, 13655, 563, 1432, 827, 519, 7972, 540, 3057, 1176, 333, 3933, 19172, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 27154, 12660, 687, 257, 607, 851, 540, 834, 16300, 16337, 1315, 24380, 3179, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 7170, 281, 17644, 267, 12243, 1740, 543, 4518, 30581, 281, 589, 26626, 540, 5565, 21582, 1251, 619, 692, 25603, 5981, 543, 16092, 267, 1079, 32283, 619, 945, 960, 1927, 693, 513, 2199, 6725, 6109, 269, 1358, 1312, 1616, 547, 581, 3811, 693, 741, 6009, 267, 855, 789, 723, 1114, 4485, 950, 621, 2501, 547, 4259, 3853, 267, 2324, 609, 1866, 267, 543, 1373, 851, 540, 513, 2319, 269, 2913, 781, 4685, 883, 741, 2984, 547, 2263, 891, 2035, 2417, 2439, 14945, 1262, 9928, 2940, 476, 272, 281, 17553, 15382, 11286, 17644, 4373, 20694, 15211, 883, 960, 835, 1554, 4743, 16397, 676, 782, 519, 4247, 6619, 269, 4256, 20148, 814, 4280, 873, 547, 1491, 593, 811, 9021, 267, 799, 1797, 1256, 3476, 3108, 693, 519, 5604, 269, 1306, 789, 1694, 1524, 547, 1544, 856, 741, 3018, 267, 789, 3314, 1945, 2629, 910, 5100, 3804, 4259, 256, 3371, 781, 1018, 602, 5654, 899, 1384, 265, 2878, 306, 5093, 16930, 630, 1432, 4010, 798, 594, 1616, 547, 3035, 286, 994, 265, 2878, 300, 5093, 2725, 553, 9092, 630, 1692, 786, 594, 917, 952, 594, 4312, 16309, 286, 994, 265, 2878, 288, 5093, 2311, 1555, 762, 630, 4692, 594, 2965, 9585, 713, 4305, 2016, 1250, 2200, 543, 1983, 286, 994, 265, 2878, 305, 5093, 31999, 630, 9989, 713, 5447, 609, 1250, 2949, 6859, 543, 14422, 286, 994, 265, 2878, 307, 5093, 5384, 27995, 630, 2691, 798, 594, 991, 547, 9096, 713, 676, 286, 2020, 3528, 1210, 519, 15382, 11286, 5943, 267, 5981, 9397, 1524, 741, 11566, 1592, 540, 4247, 883, 19242, 267, 24276, 3853, 269, 901, 2337, 873, 3251, 5059, 267, 12592, 267, 543, 1447, 14129, 2429, 519, 3018, 780, 1320, 4454, 15331, 281, 6056, 827, 707, 1378, 3232, 13467, 543, 1279, 3856, 3785, 269, 1215, 666, 596, 4019, 519, 15382, 11286, 1062, 547, 1118, 873, 811, 6896, 543, 3608, 2496, 14945, 1262, 9928, 2940, 476, 273, 281, 21664, 543, 9442, 4373, 4263, 12899, 5503, 267, 5981, 10742, 909, 609, 16092, 267, 945, 4667, 21616, 269, 898, 7140, 856, 602, 16092, 729, 8655, 547, 1291, 513, 1007, 1788, 5473, 1896, 13623, 1369, 519, 2754, 269, 1717, 267, 972, 723, 1044, 930, 2792, 2152, 1063, 2319, 2818, 267, 3056, 547, 17799, 543, 21390, 269, 1677, 948, 16092, 267, 5981, 8843, 4388, 585, 2500, 5698, 1384, 272, 269, 19372, 2312, 5107, 543, 6788, 689, 519, 1376, 563, 273, 269, 11559, 1930, 543, 9237, 2792, 1851, 2319, 10863, 563, 274, 269, 21480, 2834, 11401, 610, 2638, 15564, 547, 1865, 3356, 563, 275, 269, 2142, 16614, 540, 824, 1004, 781, 942, 267, 8369, 267, 543, 7418, 563, 276, 269, 20644, 1489, 543, 19015, 8164, 2009, 780, 4415, 891, 2994, 538, 2247, 267, 16092, 556, 6716, 3278, 741, 1985, 5870, 543, 5036, 2666, 3652, 585, 1732, 5698, 269, 17652, 2614, 267, 519, 1788, 6238, 3001, 4464, 12347, 1586, 2439, 11328, 5562, 27100, 281, 23239, 754, 596, 2811, 3056, 513, 1895, 1788, 693, 1153, 269, 1548, 3268, 1131, 596, 1491, 547, 2327, 3025, 17358, 741, 1909, 267, 31825, 3927, 267, 543, 13978, 593, 3950, 2509, 8236, 519, 1455, 3804, 2496, 14945, 1262, 9928, 2940, 476, 274, 281, 8490, 16200, 4518, 30581, 4373, 24137, 4464, 513, 1906, 4374, 2663, 281, 5637, 5981, 543, 16092, 5469, 602, 1776, 26393, 267, 13177, 267, 9620, 547, 3514, 538, 609, 741, 9757, 6887, 269, 6736, 2348, 1390, 1367, 1983, 267, 13177, 1419, 804, 10449, 609, 1866, 1282, 5717, 543, 14543, 547, 3565, 25006, 547, 1895, 3646, 269, 7464, 1944, 602, 2679, 2178, 960, 6887, 3322, 5807, 2318, 14375, 3347, 267, 5981, 543, 16092, 6430, 547, 21927, 13177, 998, 930, 1898, 1514, 1983, 1384, 265, 15765, 6947, 454, 265, 27919, 454, 265, 2667, 1068, 4369, 454, 265, 4790, 10614, 5955, 454, 265, 18366, 6571, 692, 2026, 13177, 16137, 547, 2259, 891, 5759, 267, 789, 1831, 513, 12595, 4759, 540, 1312, 6887, 1107, 7700, 3860, 2093, 267, 5885, 9164, 267, 543, 4543, 2087, 2949, 2773, 780, 12244, 281, 14484, 593, 707, 1995, 10283, 538, 1895, 2238, 267, 2436, 693, 1153, 610, 11992, 269, 2052, 596, 2697, 8320, 1141, 6793, 14375, 1983, 1223, 723, 3366, 547, 4824, 2164, 286, 1403, 865, 267, 1018, 1808, 3527, 1522, 723, 1500, 513, 3017, 286, 0, 8620, 606, 2502, 543, 3015, 552, 19543, 9074, 593, 1412, 20329, 1108, 476, 273, 324, 3299, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 563, 2171, 616, 1603, 593, 3184, 1412, 26581, 7434, 268, 16391, 9318, 10017, 8339, 769, 1880, 267, 3296, 1412, 16391, 9318, 10017, 281, 634, 4317, 17435, 3290, 540, 4518, 8339, 1284, 723, 2907, 4988, 519, 1739, 1770, 538, 713, 3296, 281, 1412, 297, 984, 9045, 529, 8351, 8339, 1284, 723, 2907, 4988, 519, 1739, 4559, 538, 713, 3296, 281, 1412, 297, 984, 9045, 529, 8351, 3299, 1412, 13480, 1700, 23991, 18696, 8339, 1284, 723, 2907, 4988, 519, 1739, 4559, 538, 713, 3296, 281, 1412, 297, 984, 9045, 529, 8351, 3299, 1412, 13480, 1700, 23991, 18696, 3299, 1412, 10048, 1771, 543, 31044, 12856, 8339, 3503, 513, 1007, 1770, 11331, 1412, 7883, 1023, 267, 12243, 1740, 543, 4518, 30581, 262, 780, 21156, 540, 513, 2757, 1837, 1935, 267, 946, 513, 1650, 2861, 2239, 547, 2491, 519, 1523, 269, 8347, 547, 1384, 268, 3680, 2930, 3822, 543, 1459, 519, 2093, 538, 513, 3551, 267, 17187, 3159, 547, 8141, 7279, 543, 9305, 547, 519, 2833, 540, 513, 7820, 5304, 563, 268, 3417, 7317, 2609, 899, 2219, 6901, 543, 1483, 3734, 7653, 269, 634, 3804, 568, 547, 1888, 3839, 543, 1187, 267, 26354, 7279, 827, 875, 621, 10039, 547, 4948, 1272, 563, 268, 1684, 711, 946, 2606, 2453, 971, 607, 834, 342, 4372, 547, 713, 1770, 257, 693, 519, 4098, 610, 8753, 519, 1439, 269, 1684, 711, 946, 2592, 269, 0, 7170, 281, 3245, 1133, 10561, 547, 5564, 10561, 281, 589, 9608, 17714, 3414, 5565, 8556, 5928, 692, 2691, 1250, 9393, 267, 4460, 267, 7608, 513, 2816, 693, 513, 2101, 5663, 2754, 1614, 1296, 3516, 267, 649, 941, 4278, 2683, 827, 519, 1007, 3255, 621, 1131, 3142, 938, 1920, 269, 1717, 267, 1919, 4957, 13497, 950, 1010, 16108, 4956, 547, 1847, 930, 2504, 547, 3624, 1813, 547, 519, 4507, 21892, 676 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2027, 2069, 1184, 666, 581, 11566, 585, 1312, 3237, 543, 7855, 269, 1280, 1383, 267, 1114, 11868, 1063, 17692, 9915, 338, 267, 594, 7968, 338, 267, 543, 476, 27843, 338, 666, 581, 2352, 269, 634, 4928, 4116, 568, 513, 4759, 540, 519, 15834, 2319, 267, 543, 621, 568, 1271, 585, 519, 4116, 547, 723, 513, 2489, 1620, 540, 17692, 9915, 338, 267, 594, 7968, 338, 267, 543, 476, 27843, 338, 269, 634, 15834, 2319, 2882, 519, 3446, 1377, 4116, 267, 2027, 2069, 4116, 267, 8664, 11347, 267, 1153, 18673, 4882, 2133, 626, 267, 519, 3237, 267, 543, 519, 2875, 630, 15290, 621, 568, 3617, 1916, 2690, 713, 7084, 267, 1711, 513, 476, 1321, 268, 1428, 13472, 3059, 6881, 585, 606, 14232, 3318, 1646, 563, 25147, 519, 1739, 538, 519, 6881, 912, 7336, 534, 725, 540, 9517, 12788, 267, 17692, 9915, 338, 267, 594, 7968, 338, 267, 543, 476, 27843, 4566, 543, 875, 789, 8428, 689, 1142, 824, 563, 14197, 3157, 585, 2027, 2069, 8446, 267, 1519, 4132, 4855, 267, 2385, 29748, 267, 543, 1153, 29748, 563, 305, 3421, 1920, 267, 519, 1153, 267, 543, 5924, 8664, 12200, 543, 5234, 1404, 538, 8446, 267, 1489, 267, 543, 8989, 267, 607, 1134, 607, 519, 2495, 540, 3028, 6765, 563, 32325, 540, 2792, 609, 3885, 3823, 519, 1184, 540, 2027, 2069, 8446, 563, 288, 2140, 13472, 267, 4704, 13472, 267, 543, 1459, 518, 779, 4967, 563, 28874, 707, 6881, 609, 476, 274, 268, 276, 14046, 8100, 563, 7093, 6768, 713, 7084, 2687, 547, 519, 4808, 1336, 538, 519, 14905, 13910, 6651, 267, 4092, 538, 519, 9906, 11773, 4741, 269, 1323, 7493, 568, 711, 2838, 563, 1607, 7084, 3096, 513, 19875, 269, 5623, 519, 19875, 1991, 547, 4098, 519, 7084, 547, 1831, 5432, 609, 519, 6788, 585, 3811, 12032, 563, 2791, 616, 2838, 547, 10505, 713, 7084, 547, 700, 8554, 2237, 563, 22013, 1853, 532, 513, 1164, 7779, 1587, 693, 513, 10257, 3902, 568, 711, 2614, 15042, 563, 6546, 779, 1946, 649, 723, 2919, 476, 276, 6225, 18715, 602, 786, 1118, 707, 1995, 609, 938, 3028, 11791, 267, 2653, 267, 543, 2922, 563, 2791, 723, 547, 581, 476, 1911, 260, 2386, 540, 519, 2298, 540, 707, 1587, 547, 2285, 513, 2724, 25746, 10018, 269, 901, 6257, 721, 9985, 269, 5269, 2386, 602, 713, 10018, 568, 11207, 12001, 19403, 811, 454, 10376, 1957, 568, 7768, 689, 15072, 267, 2687, 547, 707, 5528, 269, 898, 568, 1287, 13761, 676, 938, 17096, 1673, 564, 1254, 3301, 269, 1703, 568, 1100, 7934, 1141, 17096, 1223, 25837, 538, 19403, 811, 454, 12552, 547, 938, 1863, 26941, 267, 972, 568, 1100, 1259, 585, 596, 547, 581, 5667, 15384, 30829, 269, 1284, 786, 960, 593, 707, 1957, 2394, 596, 616, 4625, 6126, 609, 519, 1267, 19403, 811, 454, 7312, 4757, 568, 2922, 267, 607, 649, 4558, 621, 2687, 547, 3486, 1239, 4027, 3652, 269, 2659, 4871, 3877, 616, 5150, 267, 607, 649, 946, 1152, 6325, 8569, 1949, 19403, 811, 454, 3528, 11488, 721, 707, 2724, 267, 596, 4444, 519, 3028, 649, 1683, 269, 6744, 856, 938, 2474, 543, 2175, 952, 596, 4782, 1870, 12909, 547, 581, 9788, 856, 538, 4013, 1893, 19403, 811, 0, 1607, 568, 2808, 547, 581, 513, 2929, 1673, 20683, 2243, 543, 1169, 15847, 3461, 6499, 547, 917, 519, 2626, 540, 713, 2243, 269, 898, 779, 2731, 2352, 547, 2626, 713, 2243, 538, 2474, 540, 9811, 610, 1100, 269, 4014, 972, 781, 1100, 10826, 585, 3987, 267, 2090, 1397, 621, 781, 2009, 585, 930, 1004, 547, 9258, 621, 269, 3414, 2732, 2242, 543, 2597, 2530, 267, 596, 949, 581, 2111, 547, 3914, 543, 3180, 3339, 1973, 4006, 2157, 1510, 6646, 563, 4131, 721, 1174, 799, 1826, 540, 3987, 568, 26464, 543, 799, 568, 31181, 538, 1931, 547, 1205, 519, 2626, 585, 713, 2243, 10778, 2467, 616, 930, 3987, 2010, 799, 616, 26464, 563, 268, 7392, 268, 272, 3987, 8813, 538, 519, 26464, 7121, 607, 519, 1560, 3085, 1406, 3132, 7378, 563, 268, 623, 4545, 805, 545, 3987, 568, 849, 1776, 1826, 540, 3987, 799, 8813, 896, 519, 26464, 3987, 7121, 1317, 519, 18558, 568, 8697, 1317, 540, 4616, 540, 4568, 610, 1813, 547, 4719, 25983, 1275, 563, 268, 12059, 1826, 540, 3987, 799, 8813, 896, 713, 7121, 568, 700, 4696, 288, 630, 23272, 550, 16790, 14545, 3987, 540, 15296, 264, 713, 568, 2147, 547, 1826, 268, 272, 3987, 267, 855, 922, 11144, 568, 3500, 3379, 547, 1826, 268, 272, 563, 268, 18726, 3987, 568, 849, 606, 26464, 2186, 540, 3987, 563, 30048, 2010, 799, 616, 31181, 281, 7392, 476, 273, 3987, 568, 513, 3987, 602, 2306, 7378, 267, 855, 741, 2281, 1810, 1405, 946, 621, 607, 1134, 607, 789, 1058, 269, 4658, 609, 1826, 476, 273, 3987, 616, 1767, 547, 723, 7378, 4187, 269, 7392, 476, 273, 3987, 568, 31181, 538, 930, 2665, 799, 1331, 2665, 1141, 538, 2550, 723, 10778, 268, 4400, 2597, 1315, 8377, 454, 268, 6184, 6081, 4187, 454, 268, 6520, 1644, 3987, 1411, 1590, 723, 2938, 18537, 593, 1514, 2923, 547, 1205, 7759, 540, 3987, 538, 476, 275, 268, 276, 2395, 799, 616, 2141, 269, 898, 781, 711, 606, 2653, 4305, 547, 9258, 3987, 269, 898, 781, 2009, 547, 9258, 3987, 538, 513, 3621, 1259, 563, 310, 904, 547, 2569, 3987, 538, 3621, 1259, 2433, 13379, 2530, 268, 4227, 2597, 666, 948, 538, 10941, 532, 519, 3987, 269, 5565, 2081, 676, 799, 649, 666, 2569, 519, 2597, 616, 10778, 289, 926, 6222, 6391, 568, 513, 1826, 540, 6391, 799, 568, 1031, 547, 2569, 519, 7181, 543, 16892, 2450, 1141, 621, 568, 9863, 602, 476, 2004, 268, 3583, 260, 1004, 723, 1044, 3987, 1863, 585, 476, 276, 268, 1015, 1296, 269, 901, 3085, 1406, 1611, 3987, 568, 4625, 23174, 855, 621, 781, 538, 519, 1121, 2153, 5123, 269, 1809, 952, 891, 2550, 1376, 11543, 2597, 543, 30134, 741, 4505, 4189, 6208, 982, 789, 786, 7985, 689, 3987, 269, 645, 926, 6222, 6391, 568, 513, 2101, 6391, 543, 621, 814, 922, 931, 543, 8374, 563, 291, 2884, 776, 3525, 5874, 1141, 538, 2550, 616, 9277, 547, 3548, 1970, 19346, 2732, 610, 1970, 23343, 12929, 2732, 2073, 2550, 616, 2016, 476, 7785, 268, 8517, 8477, 2732, 799, 814, 1970, 19346, 1543, 1547, 952, 519, 3461, 568, 2111, 547, 2569, 476, 736, 260, 540, 519, 1560, 2597, 1287, 972, 616, 8458, 547, 9258, 3987, 269, 4746, 267, 2059, 609, 2732, 952, 2550, 1246, 513, 2834, 3635, 6296, 1287, 972, 616, 1164, 8458, 269, 901, 1826, 540, 2732, 568, 3665, 269, 898, 1797, 2324, 609, 513, 3318, 543, 1373, 1360, 6417, 609, 875, 1082, 8477, 454, 9767, 3548, 269, 1809, 519, 4960, 602, 621, 1223, 6494, 596, 883, 1121, 2153, 949, 2285, 596, 2178, 8404, 547, 6529, 547, 621, 563, 1692, 1281, 3987, 1205, 20328, 286, 1879, 519, 2597, 4991, 4389, 267, 519, 3170, 16005, 936, 519, 6797, 543, 18558, 616, 6569, 269, 901, 2337, 538, 2810, 7378, 8417, 538, 519, 1560, 799, 2337, 538, 4227, 3987, 563, 6097, 547, 2090, 3987, 666, 581, 20328, 585, 476, 273, 268, 276, 1296, 269, 901, 3085, 1405, 1611, 596, 2811, 4625, 23174, 269, 12128, 568, 606, 5571, 2068, 269, 4634, 952, 596, 2811, 538, 1121, 2153, 267, 799, 1797, 596, 5749, 1405, 2921, 6646, 543, 707, 1973, 4006, 2157, 3251, 538, 513, 2635, 2039, 267, 972, 781, 2141, 513, 4960, 602, 2589, 786, 2132, 269, 1809, 621, 781, 2009, 585, 930, 1004, 547, 979, 1296, 1510, 8373, 9013, 741, 7280, 543, 519, 1072, 4145, 602, 2097, 609, 3987, 269, 634, 2601, 585, 26739, 540, 3987, 568, 1317, 3006, 519, 3461, 568, 711, 2111, 547, 2226, 519, 2597, 269, 1403, 519, 3461, 568, 7092, 689, 3987, 1287, 798, 711, 6336, 4126, 2073, 5077, 513, 4387, 269, 6787, 596, 723, 1826, 476, 272, 610, 1826, 476, 273, 3987, 267, 2141, 2911, 547, 707, 4387, 1354, 4358, 1022, 1007, 2126, 543, 2359, 3681, 269, 2659, 4387, 666, 948, 596, 1020, 519, 1655, 1544, 547, 2232, 707, 3782, 2115, 269, 6513, 707, 2597, 267, 972, 616, 8458, 519, 3987, 1522, 1205, 20328, 585, 930, 1296, 1256, 538, 2013, 621, 1281, 711, 1205, 20328, 707, 6646, 10421, 786, 581, 6417, 269, 0, 32451, 853, 5962, 547, 12619, 286, 2657, 3689, 717, 1161, 2422, 995, 9669, 593, 1215, 547, 5192, 2368, 1744, 1393, 6614, 454, 3528, 6611, 11076, 11545, 12262, 5181, 476, 272, 267, 476, 1708, 271, 454, 8253, 1152, 1281, 513, 3668, 540, 3207, 723, 2168, 4539, 855, 2790, 2360, 454, 289, 3918, 309, 19181, 2910, 7419, 31159, 267, 18919, 3036, 2839, 288, 1107, 589, 1434, 3781, 779, 3207, 286, 898, 779, 1945, 513, 2603, 540, 721, 616, 7508, 1318, 1631, 269, 19484, 513, 1857, 1072, 6433, 3762, 7899, 540, 721, 11842, 543, 14126, 269, 968, 3674, 1250, 2816, 5150, 9495, 968, 4692, 594, 2628, 1250, 20251, 9495, 968, 12663, 594, 1205, 5046, 268, 866, 543, 1205, 7210, 1107, 610, 8338, 18313, 2171, 917, 269, 853, 11691, 9350, 543, 12008, 3280, 569, 3085, 1406, 3100, 1932, 12492, 762, 269, 1809, 621, 779, 1271, 547, 1205, 2834, 267, 1434, 1964, 267, 2523, 1631, 1107, 585, 1312, 707, 2790, 543, 2168, 9716, 563, 10527, 6855, 814, 6038, 2813, 606, 1604, 540, 2566, 543, 4250, 2223, 1767, 3220, 269, 16217, 330, 1662, 4414, 11276, 267, 11022, 267, 6481, 10615, 693, 519, 2657, 3689, 12619, 15544, 269, 968, 29590, 666, 723, 17672, 5222, 267, 7133, 17441, 2157, 607, 1134, 607, 1418, 1949, 3034, 5575, 267, 519, 9238, 563, 2108, 13914, 540, 3207, 607, 513, 1964, 691, 1982, 267, 1141, 513, 1434, 3781, 779, 3207, 568, 547, 12687, 909, 18589, 1117, 2223, 1767, 3220, 269, 4414, 11276, 267, 513, 2657, 3689, 6481, 6828, 8502, 945, 24870, 538, 12619, 6925, 543, 17240, 14004, 8376, 563, 2108, 28036, 568, 513, 10859, 23655, 1533, 602, 5932, 606, 1604, 540, 7816, 543, 11808, 269, 12619, 568, 513, 13766, 585, 4509, 519, 8699, 540, 707, 1072, 543, 1134, 5630, 3034, 8253, 3478, 2614, 1964, 666, 581, 513, 3597, 2014, 540, 2068, 267, 971, 607, 14715, 4713, 267, 9025, 2068, 267, 13119, 267, 543, 3987, 563, 8253, 1152, 1281, 513, 3668, 540, 3207, 723, 2168, 4539, 855, 2790, 2360, 269, 9861, 3207, 31398, 337, 1882, 666, 2014, 721, 547, 581, 8886, 762, 267, 4652, 21682, 267, 7099, 344, 543, 29267, 582, 17300, 269, 1284, 991, 513, 1434, 3781, 779, 3207, 547, 1964, 543, 556, 10276, 1120, 1125, 938, 1950, 6211, 12227, 563, 10932, 814, 1044, 5812, 538, 10771, 519, 11455, 2640, 540, 513, 1964, 995, 5722, 547, 5216, 3108, 540, 3207, 269, 769, 1840, 547, 21045, 540, 6211, 2640, 267, 513, 1434, 3781, 779, 3207, 786, 1832, 596, 4743, 10069, 1242, 267, 1543, 543, 15508, 5423, 547, 3068, 519, 2621, 540, 513, 1007, 1554, 563, 2108, 28036, 849, 2337, 5818, 707, 4761, 1062, 267, 4543, 621, 9718, 1996, 5739, 28164, 2223, 3220, 269, 4414, 11276, 6045, 563, 2108, 21413, 3207, 267, 707, 1560, 3587, 21260, 538, 922, 8878, 267, 543, 621, 3587, 811, 11630, 547, 4576, 267, 799, 568, 1945, 649, 9090, 1616, 547, 2057, 1282, 519, 1699, 6855, 269, 12619, 22975, 666, 7369, 938, 4761, 1062, 267, 799, 666, 723, 7168, 3983, 4539, 3034, 3719, 621, 779, 711, 2653, 547, 9505, 1055, 938, 8186, 543, 2879, 5622, 2763, 269, 13262, 8952, 1004, 25805, 267, 8380, 519, 8401, 1062, 538, 513, 3586, 968, 325, 2775, 11399, 1922, 697, 892, 7154, 543, 28817, 909, 8082, 269, 1452, 796, 29446, 10399, 666, 1860, 3207, 3270, 543, 666, 2014, 721, 547, 723, 8373, 27510, 610, 4509, 3207, 563, 7804, 269, 4414, 11276, 17613, 602, 7850, 3207, 568, 1175, 607, 1271, 513, 1907, 607, 9849, 513, 9633, 267, 1688, 2914, 4770, 543, 4509, 1514, 26865, 1282, 713, 6855, 269, 898, 782, 6238, 609, 22867, 547, 513, 2834, 3207, 8430, 563, 2108, 9359, 513, 6296, 602, 1568, 585, 596, 543, 2636, 707, 2247, 547, 7938, 785, 543, 6001, 693, 519, 1439, 540, 519, 1554, 2223, 3220, 269, 4414, 11276, 1767, 563, 2108, 28036, 22975, 786, 1152, 24244, 513, 17173, 1533, 540, 1373, 267, 865, 596, 1590, 1118, 519, 4674, 547, 2327, 596, 616, 8391, 519, 2179, 540, 2298, 3207, 596, 991, 269, 4634, 952, 707, 2247, 568, 1964, 1652, 267, 707, 1560, 568, 25356, 543, 2115, 519, 29915, 908, 1379, 540, 513, 1434, 3781, 779, 3207, 3034, 2791, 666, 1376, 676, 10213, 3054, 602, 3207, 568, 811, 1271, 982, 707, 19048, 540, 519, 1554, 267, 3220, 269, 4414 ]

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

[ 23311, 609, 519, 1325, 2532, 534, 4731, 600, 1393, 267, 799, 3947, 873, 513, 1413, 1360, 2147, 547, 519, 4436, 1352, 23311, 267, 855, 789, 723, 513, 12402, 547, 1732, 12048, 1072, 982, 519, 4436, 9742, 267, 799, 568, 12155, 547, 7092, 689, 12048, 7988, 25936, 563, 5445, 616, 18512, 543, 10995, 5243, 602, 991, 6266, 540, 3635, 543, 1569, 547, 519, 13964, 267, 1510, 799, 789, 616, 19038, 547, 1831, 796, 745, 569, 543, 1360, 16160, 563, 5445, 4043, 547, 581, 26339, 543, 18219, 982, 519, 4436, 1352, 23311, 267, 7555, 909, 547, 476, 1556, 9492, 26339, 982, 519, 1283, 1439, 540, 519, 4436, 1352, 23311, 2039, 267, 543, 5732, 20604, 909, 547, 476, 866, 11899, 811, 269, 1358, 666, 849, 581, 1336, 538, 513, 2647, 2039, 540, 10359, 15437, 267, 8151, 689, 28886, 565, 712, 547, 22833, 565, 712, 267, 609, 3109, 543, 16009, 1373, 741, 1079, 2596, 10359, 15437, 269, 0, 1103, 634, 2677, 1417, 540, 2494, 267, 3370, 538, 476, 6942, 272, 267, 8176, 16817, 32424, 602, 938, 11937, 3357, 689, 4000, 269, 1261, 11329, 856, 602, 1851, 782, 2831, 267, 519, 3979, 3284, 525, 2443, 27580, 25022, 543, 32315, 2763, 525, 2443, 941, 519, 1034, 2147, 547, 3425, 269, 1809, 646, 1185, 2370, 8093, 2963, 269, 634, 1906, 1634, 1480, 15455, 1185, 1044, 1336, 538, 2342, 267, 543, 1346, 602, 8945, 1194, 538, 936, 519, 1985, 476, 2004, 1296, 3357, 689, 2342, 543, 689, 5607, 563, 295, 611, 16817, 13603, 519, 4636, 11782, 888, 7661, 267, 538, 476, 4572, 275, 267, 513, 6830, 3726, 748, 1265, 6462, 16817, 779, 25127, 269, 7324, 519, 11935, 693, 513, 14680, 26755, 538, 3162, 4000, 267, 19379, 16626, 519, 8093, 1242, 15693, 540, 513, 22525, 269, 9122, 593, 519, 1126, 779, 11100, 540, 1480, 3697, 543, 3284, 601, 833, 2934, 267, 606, 20133, 558, 626, 5462, 602, 519, 8093, 729, 1018, 729, 1287, 2442, 569, 1634, 607, 513, 968, 332, 1170, 532, 3095, 1848, 898, 729, 519, 1034, 3284, 601, 833, 8093, 2943, 1336, 540, 513, 4630, 514, 573, 2443, 602, 568, 267, 513, 4759, 540, 519, 1920, 670, 7631, 13160, 267, 799, 2882, 2413, 3425, 543, 782, 938, 2673, 267, 17255, 14077, 269, 0, 306, 7428, 476, 1708, 271, 910, 670, 8780, 476, 28883, 310, 661, 1911, 454, 29638, 543, 3778, 630, 275, 994, 12218, 7089, 281, 476, 5379, 278, 273, 454, 22013, 6116, 6396, 281, 769, 12287, 454, 7336, 2803, 3140, 2242, 538, 27828, 543, 8706, 6541, 269, 4635, 513, 21044, 543, 30427, 270, 1260, 1706, 894, 1935, 267, 621, 786, 4983, 875, 4008, 9163, 616, 4646, 543, 1201, 5831, 539, 1369, 1114, 3140, 8658, 269, 898, 786, 849, 2263, 519, 5872, 1063, 4008, 543, 824, 1949, 540, 1379, 971, 607, 5198, 267, 1362, 267, 543, 14940, 269, 4841, 609, 5491, 585, 670, 8780, 476, 28883, 949, 711, 1491, 713, 1576, 585, 2417, 5491, 269, 5675, 563, 29638, 543, 11557, 7081, 538, 1284, 31483, 5125, 1607, 670, 8780, 476, 28883, 310, 7710, 513, 3099, 540, 4485, 547, 519, 4901, 540, 4008, 543, 14920, 1282, 5125, 779, 1284, 31483, 1296, 630, 4489, 280, 268, 4350, 274, 1040, 634, 1576, 786, 1930, 609, 606, 3408, 540, 1455, 5784, 827, 1284, 31483, 5125, 267, 2059, 609, 513, 4901, 540, 2474, 543, 6688, 17640, 547, 519, 1686, 540, 14920, 543, 4008, 3961, 269, 4438, 519, 1101, 5049, 267, 649, 786, 22738, 513, 2689, 540, 3140, 18765, 11341, 547, 519, 8739, 27791, 3510, 538, 5125, 1282, 519, 1284, 31483, 1296, 267, 10483, 676, 519, 2079, 540, 2824, 3119, 5931, 267, 607, 7041, 585, 519, 811, 5265, 4008, 25700, 4901, 540, 519, 14230, 540, 519, 2165, 269, 17564, 786, 581, 12979, 1819, 676, 15966, 768, 1157, 779, 1257, 543, 7471, 609, 513, 1297, 540, 3119, 2959, 689, 519, 5736, 267, 1519, 1312, 4670, 630, 23325, 19664, 267, 21989, 538, 31538, 264, 543, 5339, 1568, 630, 11390, 684, 779, 634, 14464, 28010, 21756, 1916, 4596, 7838, 10345, 268, 4041, 27111, 11581, 24102, 3201, 23184, 28940, 912, 1103, 1840, 547, 16565, 543, 4396, 4328, 1702, 827, 519, 4436, 1914, 32241, 5251, 1282, 519, 1284, 31483, 1296, 1765, 5976, 513, 1808, 1445, 593, 713, 2486, 779, 2093, 827, 14920, 543, 4008, 267, 1053, 786, 849, 1020, 741, 3140, 2079, 5759, 676, 2324, 2047, 593, 3119, 2959, 689, 519, 5736, 538, 513, 3099, 540, 3029, 543, 2923, 630, 5228, 11356, 4930, 267, 547, 18531, 543, 8915, 657, 267, 607, 1134, 607, 4670, 267, 543, 5708, 1070, 1247, 693, 519, 1482, 942, 8026, 741, 4081, 1603, 1983, 269, 634, 1576, 6663, 547, 2263, 519, 1739, 2055, 912, 6440, 1215, 1705, 713, 1880, 22882, 538, 8739, 27791, 1686, 3337, 1523, 687, 540, 4008, 543, 14920, 888, 6440, 769, 799, 2081, 1705, 891, 8428, 689, 2757, 267, 840, 8862, 310, 272, 5784, 540, 891, 1482, 6688, 888, 6440, 1215, 1705, 4436, 2486, 4431, 547, 519, 7835, 538, 519, 2127, 540, 4008, 543, 14920, 1282, 713, 1974, 286, 21518, 891, 7835, 8272, 549, 1042, 11992, 538, 2342, 610, 3345, 3013, 888, 6440, 1215, 1281, 713, 1974, 5635, 547, 1699, 1514, 3466, 538, 891, 2127, 286, 1772, 971, 513, 6476, 11562, 5896, 888, 6440, 1548, 568, 972, 547, 581, 4121, 689, 519, 1284, 31483, 4603, 1107, 538, 2474, 540, 4485, 547, 4008, 543, 14920, 267, 607, 1134, 607, 538, 6626, 1514, 2474, 888, 268, 12729, 11905, 5811, 476, 1428, 14999, 268, 3883, 19809, 476, 736, 14999, 268, 17912, 5623, 476, 1015, 14999, 268, 9137, 5623, 476, 1015, 14999, 268, 15937, 4828, 476, 1789, 14999, 268, 29934, 766, 1299, 30880, 476, 1428, 14999, 25857, 580, 267, 25288, 269, 630, 1220, 273, 1040, 634, 1284, 31483, 6243, 267, 476, 4489, 280, 268, 4350, 274, 269, 630, 299, 4545, 2120, 30732, 7410, 1040, 5507, 282, 1715, 3840, 281, 30296, 269, 630, 306, 293, 308, 2228, 994, 11390, 684, 267, 594, 3944, 326, 731, 269, 630, 1001, 272, 1040, 634, 5841, 16536, 8004, 269, 1715, 3840, 281, 4033, 4964, 454, 18250, 290, 768, 1157, 267, 9400, 269, 630, 1220, 272, 1040, 13834, 543, 14920, 538, 1284, 31483, 7073, 640, 281, 17912, 267, 9085, 267, 543, 834, 6124, 8629, 2032, 6100, 6022, 6588, 557, 5839, 17524, 534, 454, 306, 293, 308, 779, 14288, 6715, 31772, 1357, 3135, 5291, 2517, 4178, 4732, 14673, 28022, 270, 29324, 270, 659, 27854, 15759, 31772, 11258, 568, 4904, 609, 1344, 593, 1018, 568, 5921, 676, 4081, 31081, 17965, 267, 1141, 596, 666, 1265, 2200, 547, 948, 609, 707, 2090, 543, 519, 4539, 540, 32533, 269, 6744, 856, 519, 3135, 585, 811, 1344, 543, 7044, 602, 948, 2491, 519, 2152, 538, 10750, 2296, 563, 10376, 2875, 568, 3743, 585, 1010, 610, 1200, 2932, 607, 621, 5540, 519, 2160, 2146, 269, 14288, 31081, 17965, 267, 538, 8726, 1106, 267, 568, 6038, 16160, 540, 519, 2418, 540, 519, 2160, 269, 5015, 267, 621, 568, 15490, 543, 1167, 15758, 547, 519, 5354, 540, 1053, 945, 11654, 741, 2090, 25473, 269, 7647, 8765, 8699, 568, 2838, 540, 782, 2818, 540, 519, 2160, 269, 5291, 2517, 4178, 4732, 14673, 28022, 9706, 4301, 625, 17320, 1794, 8291, 270, 30700, 4882, 1015, 268, 4905, 11258, 454, 3722, 4696, 4932, 2975, 21850, 9680, 305, 14510, 281, 22400, 20796, 298, 267, 22400, 24639, 6717, 8577, 0, 27908, 687, 4413, 513, 7594, 610, 1079, 1142, 1554, 563, 20055, 721, 1689, 602, 256, 8437, 547, 24946, 2221, 2336, 6224, 22790, 476, 2918, 634, 1234, 793, 540, 772, 3960, 11672, 454, 272, 269, 634, 4098, 540, 1010, 12081, 630, 273, 20048, 2873, 476, 2918, 281, 272, 268, 276, 12467, 273, 269, 772, 3960, 11672, 779, 1967, 543, 6830, 5874, 630, 273, 20048, 2873, 476, 2918, 281, 277, 268, 1428, 12467, 274, 269, 772, 3960, 11672, 779, 5609, 543, 682, 2889, 1910, 630, 273, 20048, 2873, 476, 2918, 281, 1626, 268, 2641, 12467, 275, 269, 634, 2669, 540, 772, 3960, 11672, 630, 273, 20048, 2873, 476, 2918, 281, 2420, 268, 2537, 12467, 763, 12312, 540, 2549, 1794, 11672, 267, 772, 3960, 11672, 267, 538, 1010, 31303, 1032, 267, 729, 1500, 4622, 676, 519, 1004, 269, 769, 5822, 18301, 476, 1428, 646, 568, 1572, 10897, 7559, 327, 269, 630, 1103, 519, 14391, 725, 593, 476, 273, 18301, 476, 1428, 281, 272, 268, 273, 606, 7778, 568, 2016, 593, 713, 5595, 2012, 540, 772, 3960, 11672, 4700, 30037, 729, 1287, 22445, 538, 28311, 630, 3674, 320, 11672, 476, 272, 281, 272, 15426, 30037, 779, 2012, 568, 5018, 538, 14235, 476, 2420, 269, 670, 846, 320, 630, 295, 846, 320, 476, 272, 281, 272, 16532, 2549, 657, 630, 8649, 657, 476, 272, 281, 272, 3738, 543, 2098, 3663, 7559, 327, 630, 273, 20048, 2873, 476, 2918, 281, 276, 3738, 941, 849, 28556, 1282, 1010, 12081, 269, 634, 8545, 568, 711, 267, 540, 1576, 267, 519, 2098, 3663, 7559, 327, 4171, 8748, 22649, 616, 2854, 538, 519, 1433, 799, 12217, 1010, 2012, 269, 772, 3960, 11672, 3710, 4432, 1054, 543, 17468, 602, 1271, 22426, 547, 28311, 630, 273, 18301, 476, 1691, 281, 2420, 15426, 3245, 4432, 1054, 543, 26442, 542, 8566, 324, 828, 21125, 779, 9635, 1185, 8854, 547, 744, 874, 597, 630, 272, 18301, 476, 280, 281, 2918, 268, 2764, 6902, 476, 273, 20048, 2873, 476, 279, 281, 1704, 268, 1240, 15426, 31598, 1282, 519, 2395, 540, 808, 528, 600, 630, 10193, 1572, 8614, 1817, 600, 264, 540, 28311, 267, 950, 661, 3256, 15148, 1540, 267, 4432, 1054, 849, 1590, 723, 1831, 4830, 269, 772, 3960, 11672, 1705, 602, 799, 729, 1318, 538, 519, 8289, 540, 519, 28789, 269, 1261, 8179, 2696, 538, 519, 2395, 540, 2098, 3663, 7559, 327, 267, 540, 7247, 649, 917, 4986, 3116, 855, 1018, 568, 5018, 538, 14235, 476, 276, 269, 634, 2098, 3663, 7559, 327, 540, 30037, 476, 279, 281, 273, 3112, 581, 4857, 609, 519, 2098, 3663, 7559, 327, 1934, 267, 585, 519, 835, 5018, 676, 30037, 5030, 1454, 2663, 269, 634, 1732, 17021, 540, 968, 15367, 1185, 1620, 538, 519, 22649, 540, 2696, 2223, 568, 267, 968, 15367, 729, 1010, 630, 308, 3960, 11672, 779, 264, 14357, 538, 519, 4250, 540, 2696, 1848, 3973, 5205, 519, 3948, 968, 553, 1279, 607, 646, 8179, 519, 28789, 267, 2696, 1500, 1864, 10653, 1848, 1656, 713, 568, 1869, 3020, 609, 782, 540, 2696, 779, 1004, 563, 3891, 530, 3042, 513, 1034, 3811, 13137, 1996, 519, 3504, 535, 4141, 540, 5840, 267, 519, 5845, 626, 1149, 269, 2776, 16227, 267, 896, 519, 12081, 540, 8614, 1817, 600, 630, 273, 20048, 2873, 476, 2641, 281, 1626, 268, 1704, 16532, 607, 865, 1419, 1354, 267, 2696, 1185, 1031, 519, 5845, 626, 1149, 547, 669, 770, 1047, 3571, 1004, 267, 855, 1631, 1261, 1031, 772, 3960, 11672, 547, 19439, 873, 585, 741, 29063, 1145, 269, 3973, 519, 2549, 3000, 2572, 4547, 13344, 543, 772, 3960, 11672, 779, 21239, 3262, 607, 2484, 607, 5527, 269, 589, 1390, 11808, 960, 729, 267, 1310, 602, 267, 5645, 593, 676, 1864, 282, 646, 17468, 543, 25167, 519, 7187, 3774, 540, 13243, 267, 799, 1185, 1044, 7745, 1524, 896, 2549, 1794, 11672, 630, 273, 20048, 2873, 476, 1839, 281, 2537, 15426, 3973, 972, 729, 513, 6825, 556, 32360, 540, 519, 7952, 540, 28311, 543, 519, 8878, 540, 13243, 729, 7494, 22541, 269, 968, 4517, 1010, 2012, 3262, 2484, 13383, 282, 585, 646, 729, 14952, 331, 3585, 5280, 267, 11489, 646, 729, 2178, 1848, 1325, 553, 256, 585, 519, 1985, 2370, 2262, 256, 1215, 1419, 649, 1265, 621, 538, 23075, 269, 968, 3719, 17373, 968, 3719, 950, 646, 729, 2178, 267, 1010, 2295, 729, 24850, 909, 547, 1010, 9552, 267, 585, 646, 1098, 326, 5962, 1996, 519, 28789, 1010, 2696, 267, 543, 4682, 883, 519, 11454, 540, 519, 28789, 547, 6633, 1651, 1619, 2390, 519, 26749, 540, 1651, 1619, 1848, 1215, 32444, 891, 1913, 616, 256, 1548, 513, 9963, 789, 2270, 547, 782, 2696, 779, 1004, 256, 1879, 519, 2295, 540, 812, 568, 24850, 909, 267, 950, 11348, 568, 4553, 267, 1098, 326, 1833, 568, 711, 2484, 3297, 269, 968, 7468, 728, 979, 996, 1354, 9552, 267, 543, 513, 688, 7676, 1399, 6891, 1354, 513, 2887, 892, 630, 3682, 18690, 476, 1626, 281, 1240, 15426, 1215, 1134, 621, 568, 585, 2696, 779, 1453, 547, 581, 1454, 593, 741, 8188, 543, 18803, 2933, 1354, 519, 7083, 269, 1677, 581, 2370, 538, 835, 779, 1378, 4064, 543, 1118, 4986, 540, 1582, 568, 3020, 30493, 543, 519, 1747, 540, 3106, 267, 1141, 30616, 6763, 17204 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5126, 269, 1261, 729, 513, 13730, 12167, 585, 519, 29515, 1004, 543, 5206, 1082, 9954, 602, 18808, 609, 2797, 543, 1514, 2152, 269, 3571, 1568, 1419, 3717, 547, 519, 6043, 543, 16177, 540, 519, 29515, 1004, 538, 519, 3068, 540, 14488, 563, 26046, 540, 570, 636, 1415, 534, 779, 4107, 25587, 31888, 454, 5278, 540, 570, 636, 1415, 534, 779, 1034, 4583, 9954, 1331, 968, 763, 13928, 6229, 10326, 2223, 968, 763, 590, 5424, 538, 519, 13957, 2223, 543, 968, 763, 12650, 675, 540, 570, 332, 330, 629, 518, 323, 1848, 1452, 1568, 723, 1831, 11599, 538, 29515, 3332, 543, 616, 1419, 6594, 538, 3506, 543, 9945, 563, 10527, 13928, 6229, 10326, 892, 568, 513, 6648, 827, 519, 5898, 540, 5614, 543, 519, 25430, 540, 1272, 269, 898, 22842, 519, 19806, 4040, 540, 519, 2915, 6229, 3529, 543, 519, 2132, 540, 14246, 543, 1769, 1310, 513, 1279, 5162, 563, 10527, 590, 5424, 538, 519, 13957, 892, 568, 513, 20807, 532, 6648, 827, 513, 22256, 945, 18389, 619, 998, 519, 3781, 267, 13465, 8909, 543, 14264, 3273, 344, 8964, 269, 898, 568, 513, 3532, 9066, 593, 519, 1379, 540, 2575, 547, 2769, 2620, 4664, 543, 1921, 721, 547, 835, 1776, 563, 10527, 12650, 675, 540, 570, 332, 330, 629, 518, 323, 892, 568, 513, 28817, 6648, 827, 519, 29515, 6560, 585, 5191, 543, 7115, 269, 898, 6645, 519, 1650, 540, 519, 7001, 540, 519, 28183, 540, 570, 332, 330, 629, 518, 323, 676, 29515, 25881, 543, 568, 513, 15266, 547, 519, 4222, 543, 6043, 540, 519, 29515, 1004, 563, 26765, 2329, 540, 18433, 807, 2817, 7313, 564, 538, 18433, 807, 454, 307, 636, 1415, 534, 779, 9371, 5170, 547, 581, 5433, 538, 2413, 18433, 807, 267, 1141, 646, 568, 9976, 607, 513, 3084, 5869, 543, 2686, 12835, 269, 3571, 1568, 616, 6594, 538, 3506, 543, 9945, 2429, 519, 2197, 267, 543, 1010, 6965, 543, 18340, 3136, 547, 8300, 1007, 5481, 540, 5830, 543, 3988, 563, 1103, 1840, 547, 1010, 5339, 7418, 267, 570, 636, 1415, 534, 729, 849, 606, 12167, 585, 2069, 543, 1514, 5126, 269, 1261, 5156, 602, 1569, 547, 2069, 729, 1898, 585, 519, 1646, 540, 513, 1175, 543, 12581, 2486, 267, 543, 646, 5249, 24091, 547, 3895, 7924, 543, 2686, 4656, 1851, 519, 29515, 1004, 563, 9213, 267, 570, 636, 1415, 534, 779, 3239, 666, 581, 1336, 593, 29515, 9304, 543, 2022, 720, 22827, 267, 543, 1010, 6965, 568, 1419, 20926, 538, 2797, 18531, 543, 2686, 2621, 269, 1261, 568, 15422, 607, 513, 3084, 14951, 543, 513, 3090, 540, 519, 11972, 6891, 540, 519, 29515, 1004, 563, 295, 990, 327, 2335, 525, 570, 636, 1415, 534, 729, 513, 10564, 267, 5856, 267, 543, 2686, 12835, 945, 5129, 513, 4105, 1909, 538, 5935, 519, 5339, 543, 2686, 5251, 540, 18433, 807, 538, 519, 2038, 476, 736, 628, 2540, 269, 3571, 6965, 543, 18340, 3136, 547, 581, 6594, 543, 9976, 2429, 519, 2197, 267, 543, 1010, 9371, 607, 513, 22299, 540, 2069, 543, 1514, 5126, 679, 706, 637, 547, 713, 1554, 563, 307, 636, 1415, 534, 779, 1568, 616, 6353, 676, 741, 3929, 3178, 267, 11430, 3740, 5898, 267, 543, 13730, 14223, 585, 519, 29515, 1004, 269, 3571, 6965, 543, 18340, 723, 1044, 12261, 883, 1082, 4654, 543, 3136, 547, 8300, 3988, 1472, 519, 1158, 563, 7437, 1010, 1148, 543, 17933, 267, 570, 636, 1415, 534, 22993, 519, 6891, 540, 18433, 807, 543, 922, 1004, 267, 543, 1010, 7418, 547, 519, 2197, 779, 5339, 543, 2686, 6561, 786, 581, 9976, 585, 5481, 547, 2097, 563, 268, 1548, 568, 670, 990, 327, 2335, 525, 570, 636, 1415, 534, 1655, 1634, 585, 888, 295, 990, 327, 2335, 525, 570, 636, 1415, 534, 568, 1655, 1634, 585, 1010, 6965, 543, 18340, 267, 799, 723, 1831, 11537, 27825, 538, 29515, 3332, 563, 268, 1548, 616, 930, 540, 570, 636, 1415, 534, 779, 1034, 4583, 1568, 888, 5278, 540, 570, 636, 1415, 534, 779, 1034, 4583, 1568, 1331, 968, 763, 13928, 6229, 10326, 2223, 968, 763, 590, 5424, 538, 519, 13957, 2223, 543, 968, 763, 12650, 675, 540, 570, 332, 330, 629, 518, 323, 3034, 268, 1548, 4798, 616, 1459, 538, 570, 636, 1415, 534, 779, 6965, 888, 307, 636, 1415, 534, 779, 6965, 6227, 513, 2647, 2039, 540, 4798, 267, 1519, 2470, 267, 8498, 1272, 267, 2648, 267, 17035, 267, 543, 519, 6560, 585, 5191, 543, 5126, 563, 268, 1548, 568, 570, 636, 1415, 534, 779, 9371, 538, 2413, 18433, 807, 888, 307, 636, 1415, 534, 568, 9976, 607, 513, 3084, 5869, 543, 2686, 12835, 538, 2413, 18433, 807, 267, 1141, 1010, 1568, 616, 6594, 543, 1010, 3239, 666, 581, 1336, 593, 9304, 543, 2022, 720, 22827, 563, 268, 1548, 729, 570, 636, 1415, 534, 779, 9295, 547, 1453, 779, 3332, 888, 307, 636, 1415, 534, 729, 513, 30508, 5856, 540, 1453, 779, 3332, 543, 5156, 538, 519, 2956, 540, 1128, 3739, 513, 2648, 540, 2542, 543, 9423, 538, 1453, 689, 513, 1762, 2085, 269, 3571, 1453, 779, 2984, 723, 1831, 11537, 27825, 538, 18433, 807, 563, 268, 570, 636, 1415, 534, 267, 670, 990, 327, 2335, 525, 269, 29120, 3718, 267, 11730, 476, 272, 281, 17826, 269, 3690, 3836, 676, 667, 10005, 14216, 6953, 990, 534, 612, 1014, 269, 24354, 267, 24696, 281, 31722, 3557, 2160, 4964, 267, 476, 1001, 272, 563, 268, 570, 636, 1415, 534, 267, 670, 990, 327, 2335, 525, 269, 634, 13928, 6229, 10326, 543, 4033, 31888, 269, 3690, 3836, 676, 6276, 670, 269, 570, 1662, 329, 1014, 269, 20588, 267, 11404, 281, 2160, 540, 4993, 4964, 267, 476, 1960, 278, 563, 268, 7195, 752, 1014, 267, 8834, 269, 634, 8738, 940, 570, 580, 5142, 281, 634, 29515, 2637, 17462, 543, 3013, 779, 15863, 269, 1715, 3840, 281, 22489, 31890, 267, 476, 1220, 274, 269, 0, 1103, 713, 2376, 267, 649, 786, 5490, 883, 519, 1888, 540, 18548, 11844, 543, 4173, 345, 1122, 990, 2088, 2817, 15215, 267, 799, 568, 5771, 269, 18548, 11844, 543, 4173, 345, 1122, 990, 2088, 267, 4092, 538, 25878, 2342, 267, 568, 513, 2197, 1634, 585, 922, 3638, 1686, 267, 3309, 2528, 267, 543, 3909, 6561, 269, 1284, 786, 2263, 519, 3140, 2796, 267, 3909, 5888, 267, 519, 1909, 540, 5771, 538, 2486, 267, 543, 922, 4644, 538, 5935, 519, 18548, 333, 1014, 3961, 563, 289, 657, 11844, 543, 4173, 345, 1122, 990, 2088, 267, 1419, 5219, 547, 607, 4437, 295, 267, 568, 513, 2197, 13883, 538, 519, 26811, 534, 18686, 269, 898, 8843, 10665, 609, 1896, 2477, 267, 1519, 23886, 807, 267, 28993, 267, 543, 3933, 1084, 1122, 549, 269, 634, 3148, 814, 513, 1950, 1686, 1813, 547, 922, 10923, 4087, 267, 4611, 538, 513, 2189, 11100, 540, 4529, 543, 3909, 5389, 563, 23208, 11137, 540, 18548, 11844, 543, 4173, 345, 1122, 990, 2088, 454, 2414, 1174, 519, 3909, 5251, 540, 18548, 11844, 543, 4173, 345, 1122, 990, 2088, 267, 621, 568, 1898, 547, 4983, 922, 3140, 1646, 269, 634, 3148, 814, 14754, 1585, 7506, 543, 15194, 7060, 936, 519, 5553, 563, 15900, 3778, 543, 21478, 454, 763, 2038, 1686, 540, 18548, 11844, 543, 4173, 345, 1122, 990, 2088, 4718, 519, 12625, 540, 1585, 23577, 545, 11031, 269, 1635, 519, 476, 280, 628, 2540, 267, 519, 3148, 2968, 513, 851, 540, 519, 10089, 326, 4115, 7276, 269, 13536, 593, 267, 621, 8593, 896, 519, 4341, 540, 519, 20850, 7276, 267, 799, 2451, 513, 1713, 1764, 593, 519, 2199, 2528, 563, 302, 1777, 2674, 7276, 543, 9099, 21478, 454, 1103, 519, 476, 1428, 628, 2540, 267, 18548, 11844, 543, 4173, 345, 1122, 990, 2088, 3357, 896, 519, 1852, 540, 519, 16368, 7276, 269, 901, 6825, 513, 2629, 7432, 1448, 538, 519, 3909, 5251, 540, 519, 3148, 269, 5771, 729, 5189, 543, 7930, 3262, 1851, 519, 2199, 2551, 267, 17706, 12371, 609, 4540, 4168, 2950, 563, 288, 755, 549, 6953, 2426, 4115, 14329, 543, 16241, 29196, 454, 763, 476, 866, 628, 2540, 4547, 827, 1776, 6521, 538, 18548, 11844, 543, 4173, 345, 1122, 990, 2088, 779, 3909, 6384, 269, 634, 3148, 3357, 896, 3243, 549, 6953, 2426, 4115, 4341, 267, 543, 3646, 941, 1500, 547, 3895, 30871, 543, 18179, 344, 269, 901, 3366, 547, 513, 7771, 538, 519, 7332, 2551, 267, 607, 1082, 18548, 14269, 6545, 10736, 547, 824, 5132, 338, 563, 13528, 566, 540, 31735, 807, 543, 16241, 15213, 454, 16729, 519, 1439, 540, 2622, 2782, 594, 267, 18548, 11844, 543, 4173, 345, 1122, 990, 2088, 2968, 513, 851, 540, 519, 8003, 540, 5395, 2125, 267, 15867, 1846, 267, 543, 6215, 8576, 525, 267, 799, 2663, 9927, 883, 519, 8003, 540, 31735, 807, 269, 4438, 713, 1974, 267, 3909, 5191, 729, 17468, 267, 3850, 1004, 547, 2259, 741, 5132, 1510, 20655, 563, 289, 657, 11844, 543, 4173, 345, 1122, 990, 2088, 2817, 15215, 454, 289, 657, 11844, 543, 4173, 345, 1122, 990, 2088, 568, 6353, 676, 922, 3909, 4763, 269, 634, 2197, 5161, 540, 1614, 2101, 3909, 2950, 281, 5771, 267, 18179, 8567, 267, 543, 4936, 30871, 269, 1717, 267, 5771, 6585, 513, 7986, 1747, 538, 519, 3909, 5888, 540, 519, 2197, 563, 7343, 6918, 2954, 476, 2004, 260, 540, 519, 2551, 538, 18548, 11844, 543, 4173, 345, 1122, 990, 2088, 14439, 607, 7332, 267, 1818, 621, 519, 4102, 3909, 1895, 538, 519, 2197, 269, 634, 7332, 2146, 538, 18548, 11844, 543, 4173, 345, 1122, 990, 2088, 568, 15866, 6129, 14269, 267, 1739, 519, 12390, 2378, 328, 1153, 540, 9099, 10883, 1440, 28619, 563, 26576, 538, 18548, 11844, 543, 4173, 345, 1122, 990, 2088, 454, 6635, 337, 2526, 543, 24619, 540, 5771, 454, 26576, 8452, 538, 18548, 11844, 543, 4173, 345, 1122, 990, 2088, 609, 519, 7269, 540, 519, 16368, 7276, 538, 519, 476, 1428, 628, 2540, 269, 634, 16368, 17710, 4547, 9099, 9821, 267, 5389, 267, 543, 3909, 5238, 547, 519, 3148, 269, 3683, 942, 267, 5771, 3262, 1851, 519, 18548, 14269, 752, 2551, 267, 543, 9923, 13196, 543, 14834, 6652, 553, 941, 3964, 563, 26576, 545, 26492, 543, 13756, 454, 763, 9099, 5389, 543, 2853, 538, 18548, 11844, 543, 4173, 345, 1122, 990, 2088, 616, 7184, 12082, 538, 519, 2686, 5958, 540, 519, 2197, 269, 12356, 538, 18548, 11844, 543, 4173, 345, 1122, 990, 2088, 4497, 538, 3232, 19001, 267, 7747, 17509, 1282, 30782, 267, 543, 7119, 538, 3909, 15976, 971, 607, 661, 573, 620, 6363, 527, 337, 543, 661, 573, 620, 268, 3849, 3873, 563, 26576, 545, 15339, 543, 11595, 454, 289, 657, 11844, 543, 4173, 345, 1122, 990, 2088, 19646, 513, 3638, 9099, 11265, 6561, 269, 634, 3148, 568, 1753, 547, 3875, 9923, 13196, 267, 930, 540, 799, 4266, 1394, 547, 519, 16368, 1974, 269, 1452, 9923, 13196, 267, 609, 741, 6946, 6272, 543, 2189, 11265, 6163, 267, 4196, 607, 6698, 540, 519, 9099, 6561, 538, 18548, 11844, 543, 4173, 345, 1122, 990, 2088, 563, 305, 1961, 540, 5771, 538, 18548, 333, 1014, 5980, 454, 24292, 19043, 540, 5771, 454, 26576, 4249, 513, 2629, 1909, 538, 5935, 519, 2686, 3961, 540, 18548, 11844, 543, 4173, 345, 1122, 990, 2088, 269, 634, 9099, 5389, 267, 2418, 267, 543, 9821, 616, 7184, 3824, 11712, 538, 519, 3232, 2729, 540, 519, 18548, 14269, 752, 2551, 269, 9099, 15976, 267, 6575, 267, 2575, 267, 543, 11951, 3565, 547, 519, 3638, 2686, 13795, 540, 519, 2197, 563, 9824, 16406, 15213, 543, 3213, 1410, 14571, 454, 289, 657, 11844, 543, 4173, 345, 1122, 990, 2088, 267, 1634, 585, 922, 954, 516, 31437, 30398, 267, 2488, 606, 1604, 540, 3909, 5191, 269, 634, 2197, 5088, 806, 4763, 543, 2636, 2043, 547, 2259, 741, 5132, 1510, 7130, 269, 634, 9099, 2146, 8362, 2535, 919, 538, 7679, 28216, 19929, 543, 1568, 2509, 5807, 1620, 543, 10892, 563, 26576, 543, 18548, 333, 1014, 14740, 454, 26576, 607, 513, 3281, 9426, 540, 2817, 14740, 454, 26576, 6585, 1713, 2956, 607, 513, 5057, 540, 519, 18548, 333, 1014, 3084, 3961, 269, 6736, 519, 2591, 5185, 2429, 1686, 267, 18548, 14269, 6545, 723, 9738, 741, 9099, 5132, 267, 543, 621, 814, 1831, 606, 7533, 851, 540, 741, 2686, 543, 3084, 6561, 269, 5771, 5713, 607, 513, 796, 4328, 3196, 585, 519, 18548, 14269, 752, 2146, 563, 29936, 543, 26504, 540, 18548, 11844, 543, 4173, 345, 1122, 990, 2088, 2817, 15215, 454, 289, 657, 11844, 543, 4173, 345, 1122, 990, 2088, 814, 5185, 3875, 2591, 538, 8497, 922, 3909, 4763, 543, 2686, 6561, 269, 634, 18548, 333, 1014, 2782, 538, 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 ]

[ 9704, 616, 5116, 7157, 454, 825, 952, 2638, 5091, 580, 1080, 263, 7483, 20311, 264, 11203, 6936, 912, 1038, 2132, 8771, 692, 825, 2132, 6936, 7531, 3698, 1292, 3890, 1384, 825, 1247, 6936, 912, 1038, 6049, 20311, 815, 3403, 3488, 11767, 513, 6049, 1297, 281, 30386, 1038, 1948, 1403, 519, 14871, 13788, 606, 8900, 5569, 281, 1401, 527, 454, 1038, 952, 6049, 20311, 2652, 1412, 12466, 2018, 2132, 454, 1038, 1948, 4530, 952, 519, 1297, 568, 4570, 454, 1038, 952, 711, 19472, 263, 7483, 20311, 2187, 2018, 1820, 18011, 763, 6049, 1297, 568, 711, 4570, 5073, 1038, 3116, 912, 2018, 1948, 1403, 519, 1297, 568, 4570, 267, 5372, 519, 4102, 7857, 609, 2473, 454, 2018, 1948, 543, 519, 2034, 4102, 609, 962, 454, 2018, 1820, 630, 7116, 1518, 263, 7483, 20311, 11723, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1292, 4590, 0, 5814, 19523, 1477, 5814, 556, 5897, 3698, 1224, 8333, 663, 18118, 6635, 7714, 28399, 825, 1477, 567, 1948, 4825, 4471, 1324, 519, 3758, 2012, 540, 519, 24290, 29905, 3667, 3758, 23228, 567, 3758, 815, 19523, 27769, 341, 314, 272, 15947, 825, 1477, 567, 1948, 5590, 519, 9949, 1297, 540, 1034, 1455, 1979, 3766, 2449, 649, 1616, 547, 4786, 1477, 567, 2462, 1090, 20311, 815, 476, 274, 1477, 825, 1477, 567, 1948, 6744, 952, 519, 3593, 16924, 3403, 513, 1297, 540, 1034, 1455, 1979, 3766, 2449, 1477, 567, 952, 7003, 4433, 903, 27769, 341, 264, 3436, 476, 273, 6769, 11434, 1477, 8587, 1948, 1403, 9811, 267, 1305, 602, 1871, 607, 519, 1297, 540, 1034, 1455, 1979, 3766, 2449, 547, 4786, 1477, 8587, 2462, 1090, 20311, 815, 19523, 27769, 341, 314, 273, 15947, 825, 1477, 567, 1948, 16376, 856, 519, 2813, 4632, 689, 519, 1599, 1477, 567, 2132, 3758, 267, 703, 6357, 580, 1090, 20311, 10142, 3698, 3341, 318, 21622, 3667, 28399, 825, 1477, 567, 1948, 8073, 519, 4632, 1477, 567, 5022, 815, 1412, 5723, 7374, 9128, 21203, 296, 297, 298, 299, 300, 301, 8008, 304, 305, 4306, 10013, 311, 312, 313, 262, 1477, 567, 10750, 3667, 815, 15234, 1477, 567, 10145, 815, 1412, 1412, 825, 1477, 825, 1477, 567, 1948, 7046, 519, 3758, 1477, 567, 3758, 12173, 815, 834, 6202, 338, 17902, 29177, 567, 10750, 18316, 815, 1930, 31526, 12173, 267, 834, 337, 14744, 825, 1477, 567, 1948, 1280, 1142, 1899, 540, 602, 3758, 1477, 567, 585, 1899, 538, 10750, 18316, 6769, 11434, 1477, 8587, 1948, 17179, 519, 3056, 543, 911, 4979, 16543, 10628, 1477, 8587, 1899, 815, 1899, 14714, 8692, 14052, 11434, 1477, 8587, 1948, 5410, 2230, 693, 519, 1439, 540, 1899, 865, 2063, 1299, 1101, 1913, 1810, 1405, 6529, 1927, 1477, 8587, 1899, 815, 1899, 266, 29734, 1477, 11434, 1477, 8587, 1948, 6744, 952, 1142, 1915, 568, 606, 21229, 12185, 1915, 610, 513, 2230, 1477, 8587, 1948, 1403, 865, 267, 1287, 1039, 621, 547, 519, 10750, 3667, 5569, 1477, 8587, 585, 669, 538, 1899, 6769, 1363, 952, 669, 18994, 10401, 28399, 2018, 10750, 3667, 6834, 669, 269, 21639, 14052, 1363, 8640, 669, 2652, 10145, 6769, 2018, 10750, 3667, 6834, 669, 1477, 825, 1477, 567, 1948, 19171, 519, 3758, 2094, 649, 1810, 1405, 991, 621, 15042, 1477, 567, 10750, 18316, 25379, 14052, 825, 1477, 567, 1948, 16376, 856, 519, 1257, 602, 3568, 1913, 543, 5624, 1152, 1477, 567, 2132, 10750, 3667, 5897, 3698, 1205, 29999, 6958, 7528, 4293, 263, 21622, 3667, 8029, 825, 1477, 567, 1948, 8073, 4756, 1477, 567, 2262, 6958, 516, 336, 18380, 815, 15079, 1477, 825, 1477, 567, 1948, 590, 5902, 519, 1257, 909, 883, 1913, 1477, 567, 10750, 3667, 815, 10750, 3667, 21858, 14052, 825, 1477, 567, 1948, 1280, 1142, 2262, 538, 519, 8237, 1257, 1477, 567, 585, 2262, 538, 10750, 3667, 6769, 11434, 1477, 8587, 1948, 1403, 621, 568, 2907, 538, 519, 8675, 267, 1287, 594, 2333, 519, 1293, 1477, 8587, 952, 2262, 538, 2262, 6958, 516, 336, 18380, 269, 12399, 28399, 1363, 2262, 6958, 516, 336, 18380, 314, 5320, 316, 6834, 476, 272, 1477, 11434, 1477, 8587, 1948, 19227, 267, 621, 781, 1007, 865, 594, 1039, 621, 547, 519, 8675, 609, 513, 1293, 540, 476, 272, 1477, 8587, 3116, 6769, 1363, 2262, 6958, 516, 336, 18380, 314, 5320, 316, 815, 476, 272, 1477, 825, 1477, 567, 1948, 16376, 856, 519, 1293, 540, 10750, 3667, 1913, 825, 1477, 567, 2132, 2262, 6958, 516, 336, 18380, 5897, 3698, 1205, 318, 21622, 3667, 10734, 28819, 263, 21622, 3667, 8029, 825, 1477, 567, 1948, 8073, 4632, 1477, 567, 10750, 3667, 5091, 5315, 815, 15079, 1477, 567, 10750, 3667, 10734, 28819, 815, 1496, 15947, 825, 1477, 567, 1948, 590, 5902, 519, 1913, 1210, 519, 5624, 1477, 567, 585, 2262, 538, 10750, 3667, 21858, 28399, 11434, 1477, 8587, 1948, 8073, 513, 4756, 547, 1612, 572, 998, 1913, 1477, 8587, 16163, 518, 815, 476, 271, 1477, 11434, 1477, 8587, 1948, 8073, 513, 23061, 547, 1612, 572, 998, 1913, 3476, 982, 476, 272, 1915, 1477, 8587, 952, 7003, 27182, 264, 3436, 476, 272, 6769, 16875, 1477, 1363, 1948, 630, 8620, 513, 23061, 547, 1612, 572, 998, 513, 2262, 547, 519, 2034, 2063, 4484, 1477, 1363, 1948, 1677, 2057, 2870, 513, 5569, 540, 1152, 476, 272, 1915, 3418, 1363, 1948, 3619, 998, 513, 2262, 1477, 1363, 1247, 16163, 518, 1341, 476, 272, 2999, 7003, 27182, 8029, 17264, 1477, 2018, 1948, 590, 5902, 2262, 883, 476, 273, 3197, 543, 1039, 873, 547, 519, 1592, 540, 2462, 2449, 1477, 2018, 10750, 3667, 10734, 28819, 6910, 27182, 314, 335, 32242, 281, 335, 32242, 266, 273, 29573, 17264, 1477, 2018, 1948, 8844, 519, 16163, 518, 936, 676, 835, 547, 1205, 519, 1985, 476, 273, 3197, 1477, 2018, 16163, 518, 6834, 476, 272, 1477, 825, 1477, 567, 1948, 1677, 5173, 519, 4908, 267, 594, 991, 547, 1205, 519, 2698, 1293, 540, 782, 1624, 675, 2325, 1477, 567, 1948, 1924, 594, 23074, 519, 2698, 1293, 540, 2462, 2449, 1477, 567, 2698, 815, 7003, 263, 21622, 3667, 10734, 28819, 3418, 825, 1477, 567, 1948, 1280, 1142, 2462, 1090, 538, 519, 2462, 1090, 1592, 1477, 567, 585, 669, 538, 10750, 3667, 10734, 28819, 6769, 11434, 1477, 8587, 1948, 1403, 621, 568, 2907, 538, 519, 8675, 540, 2462, 2449, 267, 1287, 594, 2333, 519, 1293, 1477, 8587, 952, 669, 538, 10750, 3667, 5091, 5315, 269, 12399, 28399, 1363, 10750, 3667, 5091, 5315, 314, 577, 316, 6834, 476, 272, 1477, 11434, 1477, 8587, 1948, 19227, 267, 621, 781, 1007, 865, 594, 1039, 621, 547, 519, 8675, 609, 513, 1293, 540, 476, 272, 1477, 8587, 3116, 6769, 1363, 10750, 3667, 5091, 5315, 314, 577, 316, 815, 476, 272, 1477, 825, 1477, 567, 1948, 13068, 519, 2025, 2462, 1090, 1592, 1477, 567, 10750, 3667, 10734, 28819, 815, 1496, 15947, 825, 1477, 567, 1948, 1280, 1169, 6221, 538, 519, 8675, 1477, 567, 585, 669, 538, 10750, 3667, 5091, 5315, 6769, 11434, 1477, 8587, 1948, 12433, 519, 4908, 543, 3898, 519, 1267, 1477, 8587, 10750, 3667, 5091, 5315, 314, 577, 316, 815, 834, 10065, 276, 325, 257, 260, 263, 21622, 3667, 5091, 5315, 314, 577, 316, 1315, 2698, 3418, 11434, 1477, 8587, 1948, 5410, 519, 4908, 1871, 543, 519, 2462, 1090, 547, 519, 1592, 1477, 8587, 10750, 3667, 10734, 28819, 6910, 8443, 21622, 3667, 5091, 5315, 314, 577, 3910, 577, 29573, 11434, 1477, 8587, 1948, 23037, 519, 1592, 865, 519, 5207, 4908, 1871, 568, 1101, 1477, 8587, 10750, 3667, 10734, 28819, 31699, 263, 516, 2091, 815, 6936, 3418, 825, 1477, 567, 1948, 16376, 856, 519, 2462, 1090, 4908, 1592, 1477, 567, 2132, 10750, 3667, 10734, 28819, 5897, 3698, 3341, 6831, 8327, 3667, 31526, 12173, 8029, 825, 1477, 567, 1948, 8073, 4756, 1477, 567, 29905, 8217, 815, 1496, 15947, 825, 1477, 567, 1948, 7046, 519, 3758, 1477, 567, 3758, 815, 1930, 31526, 12173, 267, 834, 337, 14744, 825, 1477, 567, 1948, 1280, 1142, 1899, 538, 602, 3758, 1477, 567, 585, 1899, 538, 3758, 6769, 11434, 1477, 8587, 1948, 17179, 519, 3056, 543, 911, 4979, 16543, 335, 2167, 1477, 8587, 1899, 815, 1899, 14714, 8692, 14052, 11434, 1477, 8587, 1948, 3474, 572, 998, 519, 1899, 543, 1491, 1079, 476, 273, 3197, 513, 942, 543, 1477, 8587, 1948, 5410, 547, 519, 29905, 2462, 1090, 1592, 1477, 8587, 29905, 8217, 815, 1496, 1467, 5157, 281, 328, 266, 273, 316, 585, 1775, 538, 2039, 263, 271, 267, 7003, 263, 1467, 1070, 273, 13580, 1477, 825, 1477, 567, 1948, 1677, 5173, 519, 4908, 267, 594, 991, 547, 1205, 519, 2698, 1293, 540, 782, 1624, 675, 2325, 1477, 567, 1948, 1924, 594, 23074, 519, 2698, 1293, 540, 2462, 2449, 689, 29905, 3667, 1477, 567, 2698, 815, 7003, 6262, 8327, 8217, 3418, 825, 1477, 567, 1948, 19171, 519, 3758, 2094, 649, 1810, 1405, 991, 621, 15042, 23228, 567, 3758, 25379, 14052, 825, 1477, 567, 1948, 16376, 856, 519, 2698, 2179, 540, 2462, 2449, 543, 519, 2462, 1090, 1592, 1477, 567, 2132, 2698, 267, 29905, 8217, 5897, 3698, 1205, 6831, 8327, 10734, 28819, 6025, 4973, 267, 29905, 8217, 8029, 825, 1477, 567, 1948, 8073, 4756, 1477, 567, 29905, 5091, 5315, 815, 15079, 1477, 825, 1477, 567, 1948, 1280, 1142, 2462, 1090, 538, 519, 1592, 540, 29905, 2462, 2449, 1477, 567, 585, 669, 538, 29905, 8217, 6769, 11434, 1477, 8587, 1948, 1403, 621, 568, 2907, 538, 519, 8675, 267, 1287, 594, 2333, 519, 1293, 1477, 8587, 952, 669, 538, 29905, 5091, 5315, 269, 12399, 28399, 1363, 29905, 5091, 5315, 314, 577, 316, 6834, 476, 272, 1477, 11434, 1477, 8587, 1948, 19227, 267, 621, 781, 1007, 865, 594, 1039, 621, 547, 519, 8675, 609, 513, 1293, 540, 476, 272, 1477, 8587, 3116, 6769, 1363, 29905, 5091, 5315, 314, 577, 316, 815, 476, 272, 1477, 825, 1477, 567, 1948, 13068, 519, 2025, 29905, 2462, 1090, 1592, 1477, 567, 29905, 8217, 815, 1496, 15947, 825, 1477, 567, 1948, 1280, 1169, 6221, 538, 519, 8675, 1477, 567, 585, 669, 538, 29905, 5091, 5315, 6769, 11434, 1477, 8587, 1948, 12433, 519, 4908, 543, 3898, 519, 1267, 1477, 8587, 29905, 5091, 5315, 314, 577, 316, 815, 834, 10065, 276, 325, 257, 260, 263, 322, 8327, 5091, 5315, 314, 577, 316, 1315, 2698, 3418, 11434, 1477, 8587, 1948, 5410, 519, 4908, 1871, 543, 519, 2462, 1090, 547, 519, 1592, 1477, 8587, 29905, 8217, 6910, 8443, 322, 8327, 5091, 5315, 314, 577, 3910, 577, 29573, 11434, 1477, 8587, 1948, 23037, 519, 1592, 865, 519, 5207, 4908, 1871, 568, 1101, 1477, 8587, 29905, 8217, 31699, 263, 516, 2091, 815, 6936, 3418, 825, 1477, 567, 1948, 16376, 856, 519, 29905, 2462, 1090, 12451, 1477, 567, 2132, 29905, 8217, 5897, 3698, 4786, 10734, 28819, 263, 21622, 3667, 8217, 267, 29905, 8217, 267, 715, 8029, 825, 1477, 567, 1948, 8073, 4756, 1477, 567, 4786, 5091, 5315, 815, 15079, 1477, 825, 1477, 567, 1948, 8073, 513, 1293, 547, 4783, 998, 519, 1871, 540, 715, 2053, 1477, 567, 1948, 715, 14687, 547, 519, 1283, 715, 2179, 540, 29905, 543, 10750, 3667, 2462, 2449, 21506, 567, 1948, 1284, 1616, 547, 12314, 1927, 1477, 825, 1477, 567, 585, 1293, 538, 2039, 630, 271, 267, 703, 18217, 264, 8029, 11434, 1477, 8587, 1948, 1280, 1142, 1293, 267, 1039, 519, 2462, 1090, 689, 519, 29905, 1592, 602, 1477, 8587, 1948, 14687, 547, 519, 4994, 2990, 540, 519, 1293, 607, 519, 8675, 1883, 1477, 8587, 1948, 1477, 8587, 1948, 5410, 519, 2462, 1090, 689, 519, 10750, 1592, 602, 14687, 547, 519, 4994, 1477, 8587, 1948, 2990, 540, 519, 1293, 607, 519, 8675, 1871, 1477, 11434, 1477, 8587, 1948, 23184, 3201, 284, 21133, 32671, 2462, 1090, 538, 29905, 1592, 547, 32671, 2462, 1090, 538, 10750, 1592, 1477, 8587, 4786, 5091, 5315, 314, 322, 8327, 8217, 314, 12248, 6012, 272, 14963, 815, 10750, 3667, 8217, 314, 12248, 6012, 272, 15947, 825, 1477, 567, 1948, 16376, 856, 519, 8675, 540, 25528, 2462, 2449, 1477, 567, 2132, 4786, 5091, 5315, 5897, 3698, 1711, 29999, 10734, 1678, 28399, 825, 1477, 567, 1948, 8073, 1592, 547, 3403, 519, 1913, 1477, 567, 2262, 10734, 1678, 815, 1496, 15947, 825, 1477, 567, 1948, 7046, 519, 3758, 1477, 567, 3758, 815, 1930, 2891, 5320, 4289, 17902, 14824, 337, 14744, 825, 1477, 567, 1948, 1280, 1142, 2262, 538, 513, 1899, 1477, 567, 585, 1899, 538, 3758, 6769, 11434, 1477, 8587, 1948, 17179, 1022, 3056, 610, 911, 4979, 16543, 335, 2167, 1477, 8587, 1899, 815, 1899, 14714, 8692, 14052, 11434, 1477, 8587, 1948, 5410, 547, 519, 1592, 540, 1913, 1477, 8587, 2262, 10734, 1678, 6910, 263, 1467, 3418, 825, 1477, 567, 1948, 19171, 519, 3758, 2094, 649, 616, 1631, 8737, 1210 ]

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

[ 815, 17332, 454, 2018, 17332, 4877, 1861, 815, 1582, 4732, 550, 514, 601, 454, 1038, 1948, 901, 3762, 721, 609, 513, 4570, 645, 4306, 267, 855, 711, 2141, 609, 4570, 681, 289, 2389, 872, 563, 1038, 1948, 1403, 519, 9241, 17332, 6843, 814, 513, 2699, 2385, 267, 649, 723, 26991, 519, 454, 1038, 1948, 4341, 602, 2699, 9136, 1590, 723, 2699, 1453, 563, 1038, 1582, 27044, 293, 1460, 1575, 263, 12133, 539, 994, 1038, 2132, 6936, 692, 825, 1219, 9041, 3847, 305, 582, 622, 4311, 267, 1699, 11966, 2187, 1038, 15981, 3097, 1038, 9524, 513, 2451, 10047, 689, 513, 2016, 6843, 454, 1038, 23288, 1038, 1948, 32114, 519, 1699, 27161, 781, 1318, 1126, 568, 711, 562, 650, 267, 649, 1616, 547, 1847, 454, 1038, 1948, 621, 1412, 629, 913, 262, 1699, 27161, 538, 519, 3529, 1247, 4509, 519, 3406, 454, 1038, 1948, 3959, 269, 3097, 1038, 1948, 594, 6999, 594, 1223, 723, 2219, 540, 930, 1732, 4756, 4408, 2676, 1038, 1948, 855, 621, 729, 19599, 2352, 865, 594, 1175, 4682, 609, 519, 15007, 454, 1038, 1948, 789, 946, 538, 519, 14160, 305, 261, 306, 1837, 269, 3097, 1038, 586, 815, 1699, 11966, 16192, 21609, 454, 1038, 952, 586, 18994, 306, 550, 1400, 10031, 2018, 2132, 454, 1038, 1699, 11966, 16192, 21609, 815, 586, 16000, 21609, 454, 1038, 1948, 1403, 586, 814, 513, 2451, 7936, 649, 991, 547, 1847, 621, 547, 519, 1318, 540, 1699, 11966, 454, 1038, 952, 711, 586, 16000, 21609, 18994, 306, 550, 1400, 10031, 2018, 586, 16000, 21609, 4877, 1861, 815, 1699, 11966, 454, 1038, 1948, 634, 1985, 1899, 2394, 519, 1439, 540, 519, 3116, 3948, 13976, 519, 454, 1038, 1948, 2385, 1126, 7681, 1063, 586, 543, 1699, 6843, 781, 2385, 454, 1038, 586, 4877, 1861, 815, 1699, 11966, 4877, 1861, 454, 1038, 952, 1699, 11966, 4877, 1861, 18994, 306, 550, 1400, 10031, 2018, 1582, 11519, 10174, 815, 586, 454, 2018, 586, 4877, 1861, 815, 1582, 4732, 550, 514, 601, 454, 1038, 8640, 1699, 11966, 18994, 29381, 21609, 10031, 2018, 1699, 11966, 4877, 1861, 16000, 21609, 815, 586, 454, 1038, 3116, 912, 2018, 1699, 11966, 4877, 1861, 16192, 21609, 815, 586, 454, 1038, 1948, 3767, 267, 649, 2030, 1699, 11966, 547, 519, 2451, 540, 586, 563, 1038, 586, 16000, 21609, 815, 1699, 11966, 454, 1038, 1699, 11966, 4877, 1861, 815, 586, 692, 825, 1219, 9041, 2431, 305, 582, 622, 4311, 267, 1699, 11966, 2187, 1038, 15981, 3097, 1038, 9524, 513, 1318, 10047, 689, 513, 2016, 6843, 454, 1038, 23288, 1038, 1948, 32114, 519, 1699, 27161, 781, 2451, 1126, 568, 711, 562, 650, 267, 649, 1616, 547, 1847, 454, 1038, 1948, 621, 1412, 629, 913, 262, 1699, 27161, 538, 519, 3529, 1247, 4509, 519, 3406, 454, 1038, 1948, 3959, 563, 1038, 586, 815, 1699, 11966, 16000, 21609, 454, 1038, 952, 586, 18994, 306, 550, 1400, 10031, 2018, 2132, 454, 1038, 1699, 11966, 16000, 21609, 815, 586, 16192, 21609, 454, 1038, 1948, 1403, 586, 814, 513, 1318, 7936, 649, 991, 547, 1847, 621, 547, 519, 2451, 540, 1699, 11966, 563, 1038, 952, 711, 586, 16192, 21609, 18994, 306, 550, 1400, 10031, 2018, 586, 16192, 21609, 4877, 1861, 815, 1699, 11966, 454, 1038, 1948, 634, 1985, 1899, 2394, 519, 1439, 540, 519, 3116, 3948, 13976, 519, 454, 1038, 1948, 2385, 1126, 7681, 1063, 586, 543, 1699, 6843, 781, 2385, 563, 1038, 586, 4877, 1861, 815, 1699, 11966, 4877, 1861, 454, 1038, 952, 1699, 11966, 4877, 1861, 18994, 306, 550, 1400, 10031, 2018, 1582, 11519, 10174, 815, 586, 454, 1038, 8640, 1699, 11966, 18994, 29381, 21609, 10031, 2018, 1699, 11966, 4877, 1861, 16000, 21609, 815, 586, 454, 1038, 3116, 912, 2018, 1699, 11966, 4877, 1861, 16192, 21609, 815, 586, 454, 1038, 1948, 3767, 267, 649, 2030, 1699, 11966, 547, 519, 1318, 540, 586, 563, 1038, 586, 16192, 21609, 815, 1699, 11966, 454, 1038, 1699, 11966, 4877, 1861, 815, 586, 692, 825, 1219, 1265, 11966, 4311, 267, 19044, 2839, 2187, 1038, 23288, 1038, 16849, 6843, 9138, 676, 19044, 2839, 952, 621, 6818, 267, 543, 8771, 6382, 563, 1038, 23288, 1038, 1336, 815, 8771, 454, 1038, 1699, 11966, 815, 1582, 11519, 10174, 454, 1038, 1948, 3619, 1141, 519, 3406, 3959, 6645, 596, 547, 2394, 596, 1265, 513, 544, 2286, 454, 1038, 1948, 6843, 610, 513, 6978, 563, 1038, 1247, 1699, 11966, 568, 711, 7183, 543, 711, 1699, 11966, 18994, 306, 550, 1400, 10031, 2018, 952, 1699, 11966, 269, 4486, 2652, 19044, 2839, 912, 3546, 1336, 815, 1699, 11966, 454, 3546, 2736, 454, 2018, 952, 1699, 11966, 269, 4486, 3436, 19044, 2839, 912, 3546, 1699, 11966, 815, 1699, 11966, 16000, 21609, 454, 2018, 3116, 912, 3546, 1699, 11966, 815, 1699, 11966, 16192, 21609, 454, 1038, 2132, 1336, 692, 825, 1219, 7696, 293, 1460, 1575, 4311, 267, 1699, 11966, 2187, 1038, 23288, 1038, 1323, 4835, 1505, 547, 2226, 2699, 15918, 871, 3601, 1310, 7696, 687, 454, 1038, 616, 840, 11526, 454, 1038, 23288, 1038, 1247, 1699, 11966, 4877, 1861, 568, 711, 7183, 543, 1699, 11966, 4877, 1861, 269, 10233, 2652, 1412, 1042, 12466, 2018, 952, 1699, 11966, 4877, 1861, 18994, 29381, 21609, 10031, 3546, 1948, 8865, 281, 1699, 11966, 814, 513, 2699, 11515, 563, 3546, 586, 815, 1699, 11966, 4877, 1861, 4877, 1861, 16192, 21609, 454, 3546, 952, 586, 269, 10233, 2652, 1412, 1042, 12466, 7386, 1699, 11966, 4877, 1861, 269, 10233, 815, 1412, 18872, 7055, 7386, 586, 269, 10233, 815, 1412, 18872, 7055, 7386, 1699, 11966, 4877, 1861, 4877, 1861, 269, 10233, 815, 1412, 1042, 7055, 7386, 1699, 11966, 815, 1699, 11966, 4877, 1861, 4877, 1861, 454, 3546, 3116, 912, 7386, 952, 1699, 11966, 18994, 14738, 21609, 10031, 3546, 1948, 8865, 281, 1699, 11966, 814, 513, 3109, 11515, 543, 1699, 11966, 568, 513, 3097, 3546, 1948, 1318, 1126, 563, 13376, 1699, 11966, 815, 1699, 11966, 4877, 1861, 454, 13376, 1582, 11519, 3847, 305, 582, 622, 263, 9690, 11966, 994, 3546, 1948, 8865, 281, 1699, 11966, 814, 513, 3109, 11515, 543, 1699, 11966, 568, 513, 454, 3546, 1948, 2451, 1126, 563, 7386, 1699, 11966, 4877, 1861, 269, 10233, 815, 1412, 18872, 7055, 7386, 1699, 11966, 4877, 1861, 4877, 1861, 269, 10233, 815, 1412, 1042, 7055, 7386, 1582, 11519, 2431, 305, 582, 622, 263, 9690, 11966, 4877, 1861, 4877, 1861, 994, 2018, 3116, 912, 3546, 1948, 2353, 540, 519, 2665, 1141, 1699, 11966, 781, 2385, 568, 513, 1318, 1126, 454, 3546, 1948, 616, 11604, 2592, 540, 2665, 1141, 1699, 11966, 781, 2385, 568, 513, 454, 3546, 1948, 2451, 1126, 269, 3097, 3546, 586, 815, 1699, 11966, 4877, 1861, 4877, 1861, 16000, 21609, 454, 3546, 952, 586, 269, 10233, 2652, 1412, 1042, 12466, 7386, 1699, 11966, 4877, 1861, 269, 10233, 815, 1412, 18872, 7055, 7386, 586, 269, 10233, 815, 1412, 18872, 7055, 7386, 1699, 11966, 4877, 1861, 4877, 1861, 269, 10233, 815, 1412, 1042, 7055, 7386, 1699, 11966, 815, 1699, 11966, 4877, 1861, 4877, 1861, 454, 3546, 3116, 912, 7386, 952, 1699, 11966, 18994, 29381, 21609, 10031, 13376, 1699, 11966, 815, 1699, 11966, 4877, 1861, 454, 13376, 1582, 11519, 2431, 305, 582, 622, 263, 9690, 11966, 994, 7386, 1699, 11966, 4877, 1861, 269, 10233, 815, 1412, 18872, 7055, 7386, 1699, 11966, 4877, 1861, 4877, 1861, 269, 10233, 815, 1412, 1042, 7055, 7386, 1582, 11519, 3847, 305, 582, 622, 263, 9690, 11966, 4877, 1861, 4877, 1861, 994, 1038, 1582, 11519, 10174, 269, 10233, 815, 1412, 18872, 28847, 825, 1219, 18419, 293, 1460, 1575, 4311, 267, 1699, 11966, 2187, 1038, 23288, 1038, 901, 1505, 1964, 2803, 2699, 3109, 3529, 3601, 602, 949, 581, 26991, 454, 1038, 1282, 6843, 25533, 687, 563, 1038, 23288, 1038, 1247, 1699, 11966, 11203, 1582, 11519, 10174, 543, 1699, 11966, 269, 10233, 2652, 1412, 18872, 12466, 2018, 952, 1699, 11966, 18994, 29381, 21609, 10031, 3546, 1948, 8865, 281, 1699, 11966, 814, 513, 2699, 24107, 454, 3546, 530, 815, 1699, 11966, 4877, 1861, 16192, 21609, 454, 3546, 952, 530, 269, 10233, 2652, 1412, 1042, 12466, 7386, 530, 269, 10233, 815, 1412, 18872, 7055, 7386, 1699, 11966, 4877, 1861, 269, 10233, 815, 1412, 1042, 7055, 7386, 1582, 11519, 3847, 305, 582, 622, 263, 9690, 11966, 4877, 1861, 994, 7386, 530, 815, 1699, 11966, 4877, 1861, 16192, 21609, 454, 3546, 952, 630, 342, 16000, 21609, 543, 530, 16000, 21609, 269, 10233, 2652, 1412, 18872, 262, 543, 3097, 13376, 530, 16192, 21609, 543, 530, 16192, 21609, 269, 10233, 2652, 1412, 18872, 262, 2187, 7386, 1948, 8865, 281, 1699, 11966, 814, 513, 3109, 24107, 609, 3109, 1453, 454, 7386, 530, 269, 10233, 815, 1412, 1042, 7055, 7386, 1699, 11966, 815, 1699, 11966, 4877, 1861, 454, 3546, 3116, 912, 7386, 952, 530, 16192, 21609, 543, 530, 16192, 21609, 269, 10233, 2652, 1412, 18872, 12466, 7386, 1948, 8865, 281, 1699, 11966, 814, 513, 3109, 24107, 609, 1114, 454, 7386, 1948, 11954, 1453, 563, 13376, 530, 16000, 21609, 269, 10233, 815, 1412, 18872, 7055, 13376, 530, 269, 10233, 815, 1412, 1042, 7055, 13376, 1582, 11519, 2431, 305, 582, 622, 26028, 994, 13376, 530, 815, 1699, 11966, 4877, 1861, 16192, 21609, 454, 7386, 1948, 8865, 281, 1699, 11966, 814, 513, 3109, 24107, 609, 2699, 1453, 454, 7386, 530, 269, 10233, 815, 1699, 11966, 4877, 1861, 269, 10233, 454, 7386, 1699, 11966, 4877, 1861, 269, 10233, 815, 1412, 18872, 7055, 7386, 952, 530, 16192, 21609, 912, 13376, 530, 16192, 21609, 269, 10233, 815, 1412, 18872, 7055, 7386, 1582, 11519, 3847, 305, 582, 622, 263, 9690, 11966, 4877, 1861, 994, 7386, 1699, 11966, 815, 1582, 11519, 10174, 454, 2018, 3116, 912, 7386, 1948, 1879, 1699, 11966, 568, 513, 3109, 1126, 267, 782, 2665, 616, 11604, 454, 7386, 1948, 2592, 540, 950, 1699, 11966, 568, 513, 2451, 1126, 454, 3546, 530, 815, 1699, 11966, 4877, 1861, 16000, 21609, 454, 3546, 952, 530, 269, 10233, 2652, 1412, 1042, 12466, 7386, 530, 269, 10233, 815, 1412, 18872, 7055, 7386, 1699, 11966, 4877, 1861, 269, 10233, 815, 1412, 1042, 7055, 7386, 1582, 11519, 2431, 305, 582, 622, 263, 9690, 11966, 4877, 1861, 994, 7386, 530, 815, 1699, 11966, 4877, 1861, 16000, 21609, 454, 3546, 952, 630, 342, 16000, 21609, 543, 530, 16192, 21609, 269, 10233, 2652, 1412, 18872, 262, 543, 3097, 13376, 530, 16000, 21609, 543, 530, 16000, 21609, 269, 10233, 2652, 1412, 18872, 262, 2187, 7386, 530, 269, 10233, 815, 1412, 1042, 7055, 7386, 1699, 11966, 815, 1699, 11966, 4877, 1861, 454, 3546, 3116, 912, 7386, 952, 530, 16000, 21609, 543, 530, 16000, 21609, 269, 10233, 2652, 1412, 18872, 12466, 13376, 530, 16192, 21609, 269, 10233, 815, 1412, 18872, 7055, 13376, 530, 269, 10233, 815, 1412, 1042, 7055, 13376, 1582, 11519, 3847, 305, 582, 622, 26028, 994, 13376, 530, 815, 1699, 11966, 4877, 1861, 16000, 21609, 454, 7386, 530, 269, 10233, 815, 1699, 11966, 4877, 1861, 269, 10233, 454, 7386, 1699, 11966, 4877, 1861, 269, 10233, 815, 1412, 18872, 7055, 7386, 952, 530, 16000, 21609, 912, 13376, 530, 16000, 21609, 269, 10233, 815, 1412, 18872, 7055, 7386, 1582, 11519, 2431, 305, 582, 622, 263, 9690, 11966, 4877, 1861, 994, 7386, 1699, 11966, 815, 1582, 11519, 10174, 454, 1038, 1699, 11966, 269, 10233, 815, 1412, 18872, 7055, 1038, 2132, 3097, 0, 258, 14343, 9339, 258, 1477, 258, 15937, 10794, 26643, 4449, 19930, 1948, 1477, 258, 1635, 281, 6599, 534, 2098, 2129, 541, 4449, 23526, 1948, 1477, 258, 4873, 476, 866, 267, 476, 1001, 278, 4449, 3546, 1948, 1477, 258, 4591, 1091, 782, 540, 519, 5049, 585, 1250, 3803, 3014, 567, 1948, 1477, 258, 14343, 9339, 258, 5897, 5814, 4351, 607, 678, 8587, 1948, 7383, 338, 1031, 1477, 5814, 2979, 17264, 1948, 3525, 2737, 5897, 258, 5785, 24801, 9339, 268, 258, 5897, 5035, 13379, 24998, 8029, 825, 5727, 589, 3625, 602, 8813, 689, 519, 6607, 11318, 519, 6345, 1477, 1038, 1239, 281, 4449, 19930, 7180, 6769, 2018, 1535, 910, 1535, 4449, 19930, 2638, 291, 1886, 1477, 2018, 586, 910, 586, 4449, 19930, 6749, 1477, 2018, 2107, 326, 311, 910, 22731, 1535, 25639, 3142, 2414, 12749, 1477, 2018, 2107, 326, 312, 910, 22731, 586, 25639, 16580, 1477, 2018, 1533, 910, 9991, 610, 711, 16875, 8571, 1477, 2018, 3280, 910, 4730, 513, 3280, 610, 711, 1477, 825, 5727, 1477, 825, 1219, 6449, 8181, 9191, 1345, 267, 13307, 267, 21870, 1125, 8029, 1038, 630, 343, 11971, 267, 3068, 264, 815, 13307, 1477, 1038, 1535, 2608, 284, 21870, 1125, 1477, 1038, 586, 2608, 284, 21870, 1125, 1477, 1038, 1582, 11859, 815, 1535, 1477, 1038, 1582, 13885, 815, 586, 1477, 1038, 1582, 269, 7775, 326, 311, 815, 1535, 1477, 1038, 1582, 269, 7775, 326 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 910, 20734, 273, 264, 1107, 630, 274, 18414, 273, 1341, 20734, 274, 19422, 18414, 274, 910, 20734, 273, 2020, 284, 630, 274, 18414, 274, 1341, 20734, 273, 910, 476, 274, 18414, 273, 910, 20734, 274, 19422, 20734, 274, 910, 20734, 273, 2020, 284, 630, 273, 18414, 274, 910, 476, 273, 18414, 273, 19422, 18414, 274, 910, 20734, 273, 2020, 284, 476, 273, 263, 18414, 274, 910, 20734, 273, 19422, 18414, 274, 910, 20734, 273, 2020, 284, 476, 273, 692, 1015, 269, 1403, 1535, 815, 630, 275, 18414, 277, 19422, 20734, 273, 1341, 20734, 274, 264, 1265, 519, 1871, 540, 630, 343, 1341, 476, 273, 18414, 273, 19422, 343, 910, 476, 273, 18414, 273, 264, 1341, 630, 343, 1341, 476, 273, 18414, 274, 19422, 343, 910, 476, 273, 18414, 274, 2020, 343, 815, 630, 275, 18414, 277, 19422, 20734, 273, 1341, 20734, 274, 2020, 22382, 630, 275, 18414, 273, 6398, 20734, 274, 19422, 20734, 273, 1341, 20734, 274, 2020, 343, 14370, 273, 18414, 273, 264, 815, 630, 273, 18414, 274, 19422, 18414, 273, 1341, 20734, 274, 2020, 28274, 2499, 754, 334, 543, 26318, 334, 10484, 3287, 1341, 476, 273, 18414, 273, 19422, 343, 910, 476, 273, 18414, 273, 264, 815, 630, 273, 18414, 274, 1341, 20734, 273, 1341, 20734, 274, 19422, 273, 18414, 274, 910, 20734, 273, 910, 20734, 274, 2020, 284, 630, 274, 18414, 274, 1341, 20734, 273, 19422, 18414, 274, 910, 20734, 273, 264, 3267, 263, 328, 2020, 26139, 1535, 14370, 273, 18414, 274, 264, 815, 630, 273, 18414, 273, 19422, 18414, 273, 1341, 20734, 274, 2020, 28274, 2499, 754, 334, 543, 26318, 334, 10484, 3287, 1341, 476, 273, 18414, 274, 19422, 343, 910, 476, 273, 18414, 274, 264, 815, 630, 273, 18414, 273, 1341, 20734, 273, 1341, 20734, 274, 19422, 273, 18414, 273, 910, 20734, 273, 910, 20734, 274, 2020, 284, 630, 274, 18414, 273, 1341, 20734, 274, 19422, 18414, 273, 910, 20734, 274, 264, 3267, 263, 4512, 2020, 3287, 1341, 476, 273, 18414, 273, 19422, 343, 910, 476, 273, 18414, 273, 264, 1341, 630, 343, 1341, 476, 273, 18414, 274, 19422, 343, 910, 476, 273, 18414, 274, 2020, 284, 630, 274, 18414, 274, 1341, 20734, 273, 19422, 18414, 274, 910, 20734, 273, 264, 1341, 630, 274, 18414, 273, 1341, 20734, 274, 19422, 20734, 273, 910, 20734, 274, 2020, 284, 630, 274, 18414, 274, 1341, 20734, 273, 19422, 20734, 274, 910, 20734, 273, 264, 1107, 630, 274, 18414, 273, 1341, 20734, 274, 19422, 18414, 274, 910, 20734, 273, 2020, 284, 630, 274, 18414, 274, 1341, 20734, 273, 910, 476, 274, 18414, 273, 910, 20734, 274, 19422, 20734, 274, 910, 20734, 273, 2020, 284, 630, 273, 18414, 274, 910, 476, 273, 18414, 273, 19422, 18414, 274, 910, 20734, 273, 2020, 284, 476, 273, 263, 18414, 274, 910, 20734, 273, 19422, 18414, 274, 910, 20734, 273, 2020, 284, 476, 273, 692, 1556, 780, 263, 3607, 343, 1341, 476, 272, 19422, 3607, 343, 264, 815, 476, 1839, 270, 1626, 692, 22382, 476, 3607, 343, 6398, 476, 1839, 815, 476, 1626, 263, 3607, 343, 1341, 476, 272, 2020, 22382, 476, 12010, 343, 815, 476, 6872, 277, 343, 1341, 476, 1626, 692, 22382, 476, 12010, 343, 1107, 476, 6872, 277, 343, 815, 476, 1626, 692, 22382, 476, 27844, 343, 815, 476, 1626, 692, 30043, 1535, 815, 476, 1626, 270, 27844, 692, 284, 476, 275, 270, 10037, 692, 1321, 269, 4635, 3601, 540, 3601, 267, 1265, 1535, 689, 519, 1739, 4834, 1384, 11405, 692, 306, 638, 2130, 1312, 5011, 692, 263, 273, 1107, 1535, 19422, 273, 1341, 1535, 264, 815, 476, 275, 270, 272, 692, 22382, 476, 279, 1341, 476, 275, 343, 815, 476, 273, 1107, 1535, 692, 275, 343, 1341, 1535, 815, 476, 273, 1107, 476, 279, 692, 22382, 476, 276, 343, 815, 910, 476, 277, 692, 30043, 1535, 815, 910, 277, 270, 276, 692, 306, 638, 2130, 1312, 5011, 10484, 3287, 1341, 476, 275, 19422, 343, 1107, 476, 1015, 264, 815, 476, 5392, 270, 280, 692, 22382, 476, 5392, 343, 1107, 476, 275, 3445, 815, 476, 280, 343, 1341, 476, 3607, 692, 22382, 476, 5392, 343, 1107, 476, 280, 343, 815, 476, 3607, 1341, 476, 275, 3445, 692, 22382, 476, 2412, 343, 815, 476, 276, 2918, 692, 30043, 1535, 815, 476, 276, 2918, 270, 2412, 692, 284, 476, 28091, 270, 736, 692, 306, 638, 2130, 1312, 5011, 267, 630, 272, 1341, 1535, 19422, 272, 1107, 1535, 264, 815, 630, 320, 1341, 536, 264, 273, 14370, 320, 1107, 536, 264, 273, 692, 26139, 7311, 2499, 754, 334, 543, 26318, 334, 10484, 263, 272, 1341, 1535, 1341, 476, 272, 1107, 1535, 19422, 272, 1341, 1535, 1107, 476, 272, 1341, 1535, 264, 815, 2715, 263, 320, 1341, 536, 264, 273, 1341, 630, 320, 1107, 536, 264, 273, 348, 270, 18950, 320, 1341, 536, 264, 273, 1107, 630, 320, 1107, 536, 264, 273, 10926, 22382, 476, 273, 270, 273, 343, 815, 476, 273, 5416, 273, 1341, 536, 273, 8358, 275, 629, 692, 22382, 476, 272, 24474, 815, 630, 320, 273, 1341, 536, 273, 8358, 273, 629, 692, 30043, 1535, 815, 476, 273, 629, 14370, 320, 273, 1341, 536, 273, 2020, 306, 638, 2130, 1312, 5011, 267, 630, 1321, 343, 1341, 476, 272, 19422, 273, 343, 1107, 476, 274, 264, 815, 476, 1839, 270, 272, 692, 22382, 476, 2004, 343, 1107, 476, 4037, 815, 476, 1321, 343, 1341, 476, 272, 692, 22382, 476, 2004, 343, 1107, 476, 1321, 343, 815, 476, 272, 1341, 476, 4037, 692, 306, 638, 2130, 1312, 5011, 692, 280, 343, 273, 14370, 280, 343, 273, 1107, 476, 276, 264, 815, 476, 280, 270, 275, 692, 22382, 476, 10037, 343, 273, 1107, 476, 3393, 815, 476, 3607, 343, 273, 815, 476, 3393, 692, 22382, 476, 3393, 1535, 273, 815, 476, 3393, 692, 22382, 1535, 273, 815, 476, 272, 692, 22382, 1535, 815, 13008, 476, 272, 692, 30043, 1535, 815, 476, 272, 267, 910, 476, 272, 692, 13425, 2433, 630, 320, 264, 1879, 1535, 815, 476, 272, 267, 1287, 538, 519, 2016, 3830, 692, 284, 630, 274, 1341, 20734, 275, 19422, 274, 910, 20734, 275, 2020, 284, 630, 274, 1341, 476, 273, 19422, 274, 1107, 476, 273, 2020, 284, 476, 276, 270, 272, 799, 568, 2016, 692, 30043, 1535, 815, 476, 272, 692, 6357, 264, 1879, 1535, 815, 910, 476, 272, 267, 1287, 692, 284, 11196, 476, 274, 1341, 20734, 275, 8358, 8987, 476, 274, 910, 20734, 275, 2020, 284, 11196, 274, 1341, 476, 273, 8358, 8987, 476, 274, 1107, 476, 273, 2020, 284, 910, 476, 272, 25773, 476, 276, 692, 284, 476, 272, 270, 276, 9881, 510, 476, 276, 270, 272, 692, 30043, 1535, 815, 910, 476, 272, 568, 711, 922, 3070, 780, 17798, 1535, 815, 476, 272, 692, 306, 638, 2130, 1312, 5011, 630, 320, 1341, 1535, 19422, 320, 1107, 1535, 264, 815, 630, 322, 1341, 546, 264, 273, 14370, 322, 1107, 546, 264, 273, 692, 26139, 7311, 2499, 754, 334, 543, 26318, 522, 692, 5416, 1341, 1535, 1341, 513, 1107, 1535, 19422, 320, 1341, 1535, 1107, 513, 1341, 1535, 264, 815, 2715, 263, 322, 1341, 546, 264, 273, 1107, 630, 322, 1107, 546, 264, 273, 348, 270, 18950, 322, 1341, 546, 264, 273, 1107, 630, 322, 1107, 546, 264, 273, 10926, 22382, 476, 273, 320, 270, 273, 343, 815, 476, 273, 6262, 273, 1341, 546, 273, 8358, 275, 7251, 692, 22382, 513, 24474, 815, 630, 322, 273, 1341, 546, 273, 8358, 273, 7251, 692, 22382, 1535, 6262, 273, 1341, 546, 273, 264, 815, 476, 273, 659, 323, 692, 22382, 1535, 815, 476, 273, 659, 323, 14370, 322, 273, 1341, 546, 273, 2020, 1724, 269, 4635, 3601, 540, 8167, 267, 4194, 585, 1535, 269, 9717, 602, 1535, 568, 2318, 780, 306, 638, 2130, 1312, 5011, 692, 280, 343, 273, 14370, 280, 343, 273, 1107, 476, 276, 264, 815, 476, 280, 270, 275, 692, 22382, 476, 10037, 343, 273, 1107, 476, 3393, 815, 476, 3607, 343, 273, 692, 22382, 476, 10037, 343, 273, 1107, 476, 3607, 343, 273, 815, 476, 3393, 692, 22382, 476, 3393, 343, 273, 815, 476, 3393, 692, 22382, 1535, 273, 815, 476, 272, 692, 22382, 1535, 815, 13008, 476, 272, 692, 30043, 1535, 815, 476, 272, 267, 910, 476, 272, 692, 13425, 2433, 630, 320, 264, 1879, 1535, 815, 476, 272, 267, 1287, 538, 519, 2016, 3830, 692, 284, 630, 274, 1341, 20734, 275, 19422, 274, 910, 20734, 275, 2020, 284, 630, 274, 1341, 476, 273, 19422, 274, 1107, 476, 273, 2020, 284, 476, 276, 270, 272, 799, 568, 2016, 692, 30043, 1535, 815, 476, 272, 692, 1691, 269, 16534, 630, 272, 1341, 1535, 1341, 1109, 343, 273, 19422, 272, 1107, 1535, 1341, 1109, 343, 273, 264, 815, 2715, 7830, 263, 272, 1341, 1535, 14587, 270, 346, 8287, 263, 272, 1107, 1535, 264, 10926, 263, 272, 1341, 1535, 1341, 1535, 273, 19422, 272, 1107, 1535, 1341, 1535, 273, 264, 815, 2715, 7830, 263, 272, 1341, 1535, 14587, 270, 346, 8287, 263, 272, 1107, 1535, 264, 10926, 22382, 630, 272, 1107, 1535, 7565, 272, 1341, 1535, 1341, 1535, 273, 19422, 272, 1341, 1535, 7565, 272, 1107, 1535, 1341, 1535, 273, 264, 815, 476, 7830, 270, 8287, 692, 22382, 630, 272, 1341, 1535, 274, 19422, 272, 1107, 1535, 274, 264, 815, 476, 8287, 270, 7830, 692, 28274, 2499, 754, 334, 543, 26318, 334, 10484, 263, 272, 1341, 1535, 274, 1341, 476, 272, 1107, 1535, 274, 19422, 272, 1341, 1535, 274, 1107, 476, 272, 1341, 1535, 274, 264, 815, 630, 8287, 1341, 476, 7830, 19422, 8287, 1107, 476, 7830, 2020, 22382, 476, 273, 14370, 273, 343, 274, 264, 815, 476, 10219, 270, 272, 692, 22382, 476, 272, 24474, 274, 815, 476, 10219, 270, 272, 692, 22382, 1535, 274, 815, 476, 272, 270, 10219, 815, 630, 272, 270, 276, 264, 274, 692, 30043, 1535, 815, 476, 272, 270, 276, 692, 1428, 269, 16534, 585, 1535, 2433, 476, 1626, 5416, 1107, 1535, 19422, 320, 1341, 1535, 264, 274, 815, 630, 320, 1341, 1535, 19422, 320, 1107, 1535, 2020, 343, 2433, 476, 1626, 18950, 320, 1107, 1535, 19422, 320, 1341, 1535, 14587, 274, 815, 630, 320, 1341, 1535, 19422, 320, 1107, 1535, 2020, 22382, 630, 320, 1341, 1535, 19422, 320, 1107, 1535, 264, 6398, 2715, 263, 320, 1341, 1535, 19422, 320, 1107, 1535, 14587, 274, 815, 476, 1626, 692, 22382, 2715, 263, 320, 1341, 1535, 19422, 320, 1107, 1535, 14587, 275, 815, 476, 1626, 263, 22144, 273, 264, 275, 692, 22382, 630, 320, 1341, 1535, 19422, 320, 1107, 1535, 264, 815, 13008, 273, 692, 2691, 630, 320, 1341, 1535, 19422, 320, 1107, 1535, 264, 815, 476, 273, 270, 272, 692, 28274, 2499, 754, 334, 543, 26318, 334, 10484, 5416, 1341, 1535, 1341, 513, 1107, 1535, 19422, 320, 1341, 1535, 1107, 513, 1341, 1535, 264, 815, 630, 273, 1341, 476, 272, 19422, 273, 1107, 476, 272, 2020, 22382, 476, 273, 320, 270, 273, 343, 815, 476, 274, 270, 272, 692, 22382, 513, 24474, 815, 476, 274, 270, 272, 692, 22382, 476, 274, 343, 815, 513, 692, 30043, 1535, 815, 513, 270, 274, 692, 2691, 630, 320, 1341, 1535, 19422, 320, 910, 1535, 264, 815, 910, 273, 270, 272, 692, 28274, 2499, 754, 334, 543, 26318, 334, 10484, 5416, 1341, 1535, 1341, 513, 1107, 1535, 19422, 320, 1341, 1535, 1107, 513, 1341, 1535, 264, 815, 11196, 476, 273, 1341, 476, 272, 8358, 8987, 476, 273, 1107, 476, 272, 2020, 22382, 476, 273, 320, 270, 273, 343, 815, 910, 476, 272, 25773, 274, 692, 22382, 513, 24474, 815, 476, 272, 270, 274, 692, 22382, 1535, 815, 476, 274, 320, 692, 17798, 1535, 815, 513, 270, 274, 267, 476, 274, 320, 692, 1626, 269, 1403, 1535, 815, 1109, 6748, 3601, 540, 8167, 267, 1397, 602, 1535, 273, 1107, 476, 273, 1314, 1341, 476, 272, 815, 476, 271, 692, 28274, 2499, 754, 334, 543, 26318, 334, 10484, 22382, 630, 343, 1341, 476, 272, 264, 273, 14370, 343, 1107, 476, 272, 264, 273, 815, 630, 320, 1341, 476, 272, 19422, 320, 1107, 476, 272, 2020, 22382, 2715, 263, 343, 1341, 476, 272, 264, 273, 1341, 630, 343, 1107, 476, 272, 264, 273, 348, 270, 18950, 343, 1341, 476, 272, 264, 273, 1107, 630, 343, 1107, 476, 272, 264, 273, 815, 476, 273, 320, 270, 273, 692, 26139, 7311, 2499, 754, 334, 543, 26318, 334, 692, 22382, 630, 343, 273, 1341, 476, 272, 1341, 476, 273, 343, 1341, 1535, 273, 1341, 476, 272, 1107, 476, 273, 343, 19422, 343, 273 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5160, 1063, 6978, 15532, 1070, 4553, 676, 6978, 27315, 1154, 543, 1225, 1782, 269, 962, 1752, 2530, 607, 513, 1267, 540, 645, 17876, 568, 3622, 6574, 950, 1165, 3511, 2589, 1020, 269, 634, 10335, 540, 645, 17876, 2589, 4679, 950, 3037, 7509, 568, 2282, 2361, 4390, 630, 328, 4318, 1421, 950, 2175, 616, 6099, 585, 7693, 1646, 1916, 293, 565, 3511, 2589, 540, 645, 17876, 666, 581, 11821, 609, 1346, 540, 6727, 2669, 6794, 630, 5408, 772, 310, 7233, 8376, 12700, 667, 18089, 278, 267, 590, 5844, 12280, 15540, 540, 590, 1195, 9700, 1040, 1717, 267, 538, 519, 2013, 540, 6727, 2669, 6794, 630, 306, 9169, 1070, 519, 533, 603, 540, 4299, 29704, 2371, 786, 2611, 3043, 610, 8645, 23469, 269, 769, 1840, 267, 5072, 543, 2539, 11710, 540, 2371, 7092, 689, 590, 9169, 630, 8117, 711, 1346, 7092, 689, 645, 17876, 264, 1419, 723, 1769, 4544, 15649, 22566, 540, 838, 648, 13999, 540, 519, 17343, 602, 3123, 590, 9169, 563, 8489, 1281, 6960, 6565, 4232, 2097, 689, 286, 645, 17876, 568, 3361, 676, 519, 3037, 13871, 17343, 1912, 658, 641, 1817, 320, 575, 2958, 1092, 269, 1703, 616, 1079, 3982, 2010, 630, 528, 1024, 8040, 264, 540, 519, 17343, 267, 20922, 7392, 589, 543, 7392, 645, 269, 7392, 589, 568, 519, 811, 10728, 8833, 543, 3123, 811, 4835, 3441, 543, 2030, 1219, 565, 2747, 982, 7392, 645, 269, 623, 269, 575, 2958, 1092, 7392, 589, 849, 568, 2404, 609, 2362, 6556, 2530, 563, 303, 269, 575, 2958, 1092, 3470, 1161, 538, 29704, 21225, 267, 609, 6668, 942, 2047, 1644, 547, 519, 3259, 540, 942, 602, 621, 3217, 585, 29704, 21225, 547, 9178, 269, 4935, 267, 623, 269, 575, 2958, 1092, 3470, 1161, 3476, 950, 29704, 21225, 568, 2451, 593, 519, 3037, 2627, 630, 324, 3052, 1421, 538, 1100, 2389, 650, 5468, 264, 1141, 519, 2557, 540, 21225, 9178, 568, 3500, 269, 623, 269, 575, 2958, 1092, 3468, 338, 29704, 5072, 2038, 538, 519, 3395, 4005, 269, 898, 1287, 7575, 909, 883, 519, 11710, 267, 32415, 519, 15466, 1062, 630, 328, 4318, 1421, 519, 1216, 8410, 2265, 532, 5160, 264, 543, 7679, 1359, 609, 519, 3350, 540, 1216, 543, 5567, 563, 15703, 2188, 666, 3310, 645, 17876, 10335, 269, 3194, 689, 519, 2160, 540, 16855, 814, 3254, 602, 519, 11841, 543, 10335, 540, 645, 17876, 568, 6574, 538, 11934, 609, 1970, 2157, 540, 16903, 543, 11379, 267, 543, 513, 3037, 9063, 2630, 476, 277, 269, 274, 269, 769, 1840, 267, 623, 269, 575, 2958, 1092, 543, 29704, 28144, 29712, 1712, 630, 295, 2678, 617, 5028, 25026, 1149, 264, 4749, 2049, 538, 4610, 1927, 267, 543, 972, 568, 2963, 602, 645, 17876, 568, 811, 4049, 538, 519, 4527, 540, 713, 29712, 1712, 563, 1692, 666, 594, 4688, 513, 29704, 7693, 609, 6960, 6565, 4232, 286, 645, 17876, 3112, 581, 6417, 2899, 2371, 723, 1044, 7783, 269, 23205, 3511, 9033, 15969, 543, 9033, 8336, 6079, 5574, 723, 1100, 1198, 593, 519, 2068, 563, 1692, 666, 594, 2057, 2042, 609, 6960, 6565, 4232, 538, 519, 2104, 286, 2422, 7693, 32186, 540, 1079, 547, 1614, 1296, 2476, 689, 29704, 609, 513, 1875, 3620, 739, 7693, 630, 324, 3052, 1421, 1507, 9274, 267, 8970, 267, 610, 10448, 7031, 1070, 607, 1134, 607, 11489, 720, 2409, 602, 6451, 2030, 21225, 883, 519, 3037, 269, 5637, 540, 891, 2553, 786, 948, 2569, 645, 17876, 19800, 5095, 676, 5009, 17883, 540, 29704, 21225, 269, 4746, 267, 1118, 2386, 602, 3037, 12680, 543, 9063, 616, 20979, 585, 29704, 2504, 547, 2057, 22350, 1970, 16903, 543, 11379, 2157, 267, 607, 1134, 607, 22350, 1970, 3037, 9063, 269, 7053, 267, 1332, 29704, 8677, 609, 4187, 547, 645, 17876, 269, 13159, 4187, 547, 645, 17876, 568, 711, 2139, 538, 5010, 8677, 269, 1717, 1896, 2959, 540, 9864, 4187, 602, 1683, 9793, 547, 5140, 645, 17876, 1852, 616, 2139, 269, 4746, 267, 930, 267, 855, 711, 782, 267, 8677, 540, 29704, 28144, 29712, 1712, 630, 17092, 301, 264, 11259, 13386, 28369, 849, 616, 11259, 547, 645, 17876, 269, 4107, 29704, 8677, 609, 14662, 301, 4187, 6508, 689, 28697, 476, 6434, 278, 6434, 2769, 4187, 547, 645, 17876, 269, 1717, 267, 519, 1482, 568, 711, 3020, 540, 8677, 609, 14662, 301, 4187, 6508, 689, 623, 22701, 269, 4475, 25210, 1058, 5077, 6079, 2754, 13222, 827, 645, 17876, 4187, 950, 8939, 513, 3099, 609, 14662, 301, 4187, 6508, 689, 713, 2707, 563, 2690, 811, 1344, 593, 6960, 6565, 4232, 540, 29704, 281, 13555, 707, 10315, 22362, 8665, 563, 1432, 568, 6960, 5544, 286, 9466, 5544, 540, 29704, 267, 849, 5219, 547, 607, 20029, 18319, 6978, 5544, 610, 20029, 18319, 6960, 5544, 267, 568, 513, 1455, 543, 2356, 5266, 5634, 1165, 3511, 2068, 540, 29704, 538, 16855, 269, 9466, 5544, 3335, 1281, 711, 1291, 547, 1713, 6556, 2530, 538, 13386, 28369, 3812, 538, 519, 1533, 267, 4352, 6556, 9271, 540, 909, 547, 476, 1428, 260, 723, 1044, 4080, 689, 824, 2127, 540, 519, 2475, 269, 769, 16855, 267, 6960, 5544, 11148, 547, 581, 811, 11342, 593, 13386, 28369, 602, 616, 896, 2566, 1496, 324, 3052, 1421, 2566, 1813, 547, 10980, 267, 1970, 12680, 630, 31860, 1970, 11379, 1070, 1164, 5521, 8023, 267, 610, 824, 3676, 971, 607, 29704, 28144, 29712, 1712, 14073, 1432, 1281, 6960, 5544, 1413, 899, 286, 634, 1034, 6093, 10835, 540, 6960, 5544, 568, 519, 5250, 540, 16070, 267, 26070, 29744, 9634, 630, 11017, 4812, 547, 476, 272, 270, 279, 10759, 538, 8006, 264, 593, 1312, 3119, 543, 959, 604, 565, 2723, 622, 29704, 3762, 269, 9540, 267, 10199, 20085, 7510, 322, 333, 573, 807, 630, 10517, 8793, 3889, 264, 540, 519, 21465, 17343, 630, 6665, 1043, 609, 513, 1688, 7828, 264, 1106, 538, 519, 6960, 2127, 269, 634, 7510, 322, 333, 573, 807, 1419, 522, 334, 2763, 22204, 610, 13999, 540, 512, 2335, 880, 16507, 24032, 269, 1879, 6960, 5544, 568, 4049, 267, 2371, 949, 2253, 547, 1219, 565, 5573, 689, 519, 2666, 909, 269, 634, 2068, 568, 1419, 811, 11342, 1141, 12775, 568, 4057, 563, 8489, 1281, 6960, 5544, 2097, 689, 286, 9466, 5544, 568, 3361, 676, 519, 17343, 20029, 18319, 25026, 1149, 267, 799, 3470, 1161, 538, 21225, 689, 5892, 30428, 29704, 7031, 269, 634, 17343, 666, 849, 7639, 593, 30428, 5452, 269, 9466, 5544, 11148, 547, 581, 811, 1455, 1282, 3636, 267, 6632, 4365, 267, 543, 950, 3448, 11195, 568, 1164, 563, 1692, 666, 594, 4688, 513, 29704, 7693, 609, 6960, 5544, 286, 9466, 5544, 568, 711, 513, 24037, 2068, 267, 543, 538, 16855, 267, 621, 10355, 5012, 547, 2804, 2530, 269, 1717, 6960, 5544, 568, 811, 11342, 267, 543, 666, 581, 6556, 12145, 267, 538, 3735, 12630, 13386, 28369, 543, 538, 2038, 1319, 1005, 29704, 8677, 269, 674, 2426, 8336, 5574, 585, 6960, 5544, 616, 3335, 9444, 11562, 5896, 6862, 22237, 563, 1692, 666, 594, 2057, 2042, 609, 6960, 5544, 538, 519, 2104, 286, 9466, 5544, 568, 1655, 7307, 998, 1697, 10047, 269, 11298, 10691, 1332, 13386, 28369, 11179, 538, 519, 1482, 2361, 267, 855, 17967, 13386, 28369, 609, 824, 7031, 585, 693, 2547, 835, 1032, 547, 1450, 942, 585, 29704, 22016, 547, 6923, 9178, 269, 570, 650, 720, 2553, 602, 30565, 7693, 21225, 543, 3895, 811, 4028, 9178, 540, 22016, 602, 22426, 519, 6960, 5544, 19800, 949, 849, 948, 1683, 1852, 269, 4746, 267, 2057, 1210, 6079, 602, 814, 1044, 3812, 538, 4610, 609, 1164, 2157, 540, 519, 2068, 269, 7053, 267, 2569, 824, 17613, 593, 707, 13386, 28369, 602, 949, 19753, 2821, 2371, 547, 6960, 5544, 269, 12518, 602, 616, 5265, 6992, 1242, 267, 723, 6190, 1216, 543, 616, 5521, 268, 543, 19800, 6954, 616, 1447, 2693, 547, 1020, 519, 2068, 563, 2690, 811, 1344, 593, 6960, 5544, 540, 29704, 281, 13555, 707, 10315, 22362, 8665, 563, 1432, 568, 589, 23782, 3912, 806, 3597, 4232, 540, 620, 325, 2788, 320, 286, 589, 23782, 3912, 806, 3597, 4232, 630, 2752, 305, 264, 568, 513, 3978, 2068, 540, 1312, 5063, 6079, 539, 620, 325, 2788, 320, 543, 3964, 620, 325, 2788, 320, 6763, 269, 8121, 305, 666, 2014, 4049, 6556, 20214, 538, 4299, 620, 325, 2788, 320, 4610, 269, 29938, 540, 519, 2068, 849, 2049, 593, 1082, 824, 22053, 630, 10175, 29704, 267, 26882, 21167, 267, 535, 19487, 21167, 267, 2699, 8459, 21167, 267, 890, 320, 267, 2699, 804, 1478, 267, 543, 3043, 804, 1478, 264, 543, 666, 2014, 1713, 9271, 538, 891, 7031, 607, 1134, 563, 1432, 1281, 589, 23782, 3912, 806, 3597, 4232, 1413, 899, 286, 15380, 267, 620, 325, 2788, 320, 11944, 568, 711, 13497, 4299, 676, 8121, 305, 267, 855, 2589, 2408, 16172, 1310, 19155, 10836, 269, 8479, 2371, 2408, 25224, 539, 543, 5835, 543, 949, 5555, 5884, 269, 634, 3597, 1949, 540, 4299, 19155, 616, 4130, 982, 3339, 267, 543, 1018, 5072, 2611, 2408, 12457, 543, 1216, 27940, 8898, 269, 24771, 620, 325, 2788, 320, 2371, 7092, 689, 8121, 305, 849, 4043, 547, 581, 25224, 539, 543, 5835, 269, 1358, 949, 723, 513, 1134, 31465, 7148, 3597, 855, 3335, 5266, 1906, 4130, 267, 5386, 5072, 269, 10705, 267, 25210, 8275, 789, 723, 513, 1966, 609, 8121, 305, 950, 789, 5469, 602, 18047, 538, 741, 4610, 616, 3395, 811, 25525, 3585, 982, 741, 620, 325, 2788, 320, 7693, 563, 8489, 1281, 589, 23782, 3912, 806, 3597, 4232, 2097, 689, 286, 8121, 305, 568, 3361, 676, 519, 3037, 13871, 1216, 9044, 630, 328, 4318, 1421, 17343, 6438, 11248, 264, 589, 23782, 3912, 806, 552, 1393, 545, 1127, 269, 589, 269, 552, 1393, 545, 1127, 568, 4122, 1336, 538, 4610, 602, 616, 14605, 27071, 267, 4610, 609, 18219, 630, 328, 4318, 1421, 10036, 264, 11934, 267, 4610, 609, 735, 9146, 267, 543, 4610, 602, 4309, 7050, 1216, 269, 589, 269, 552, 1393, 545, 1127, 7472, 18784, 267, 1279, 24331, 16889, 24032, 630, 21406, 522, 2214, 2803, 264, 538, 519, 5072, 540, 7783, 2371, 267, 543, 891, 24032, 666, 2611, 26862, 538, 519, 3037, 585, 909, 547, 476, 1015, 1296, 267, 1256, 538, 519, 9000, 540, 513, 11630, 7693, 269, 4495, 513, 11630, 7693, 568, 1459, 267, 522, 2214, 2803, 666, 10351, 3729, 543, 2047, 3468, 2371, 267, 610, 896, 6632, 614, 2175, 3132, 3875, 18784, 10977, 24032, 630, 21406, 18186, 2214, 2803, 264, 602, 666, 13604, 3468, 2371, 563, 2467, 616, 1896, 14726, 540, 589, 269, 552, 1393, 545, 1127, 543, 891, 14726, 4043, 547, 723, 7375, 585, 799, 2030, 14747, 789, 786, 3468, 269, 1280, 1383, 267, 930, 14726, 4043, 547, 3468, 620, 325, 2788, 320, 267, 1866, 4043, 547, 3468, 17112, 543, 1866, 4043, 547, 3468, 26882, 10365, 269, 589, 269, 552, 1393, 545, 1127, 602, 3468, 338, 620, 325, 2788, 320, 666, 581, 2417, 5258, 883, 1079, 14797, 630, 15869, 476, 272, 543, 5198, 476, 273, 1070, 799, 666, 581, 13747, 1759, 593, 519, 1880, 620, 325, 2788, 320, 8677, 602, 789, 1034, 11593, 3468, 269, 4033, 14797, 540, 589, 269, 552, 1393, 545, 1127, 602, 666, 3468, 620, 325, 2788, 320, 2693, 2291, 267, 855, 693, 713, 942, 723, 711, 1044, 4628, 13006, 563, 1692, 666, 594, 4688, 2371, 609, 589, 23782, 3912, 806, 3597, 4232, 286, 1703, 568, 1100, 1259, 547, 4688, 606, 620, 325, 2788, 320, 7693, 2899, 8121, 305, 814, 7018, 269, 674, 2426, 8336, 6079, 5574, 949, 1683, 2110, 3856, 4027, 540, 620, 325, 2788, 320, 19155, 269, 1717, 267, 1165, 3511, 9033, 15969, 798, 711, 1683, 1022, 8121, 305, 1852, 563, 1692, 666, 594, 2057, 2042, 609, 589, 23782, 3912, 806, 3597, 4232, 538, 519, 2104, 286, 634, 1034, 1271, 2359, 4640, 585, 8121, 305, 568, 547, 1118, 2386, 4610, 616, 5265, 27071, 269, 26805, 7555, 1216, 568, 1271, 547, 2061, 1646, 540, 18186, 2214, 2803, 267, 799, 666, 13497, 2333, 2068, 10335, 269, 26805, 735, 9146, 267, 1210, 1016, 1606, 16577, 12775, 17981, 543, 5924, 556, 268, 709, 1154, 2627, 1216, 12775, 11444, 666, 948, 13468, 6632, 3037, 2175, 269, 1403, 972, 568, 513, 2250, 1686, 540, 8121, 305, 538, 513, 2361, 267, 946, 620, 325, 2788, 320, 8677, 609, 4187, 547, 519, 1808, 5198, 4433, 264, 540, 589, 269, 552, 1393, 545, 1127, 1459, 538, 519, 2361, 269, 6904, 5198, 4433, 264, 616, 1459, 666, 581, 5462, 1210, 513, 3037, 6915, 817, 599, 269, 13555, 707, 2199, 10315, 22362, 5604, 585, 811, 1344, 593, 875, 547, 2445, 513, 3037, 3732, 585, 589, 269, 552, 1393, 545, 1127, 4152, 267, 607, 1134, 607 ]

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

[ 0, 5327, 32606, 20574, 267, 1010, 2790, 267, 2168, 7592, 543, 1915, 5314, 454, 16498, 7592, 268, 3891, 568, 827, 476, 8182, 4699, 7381, 11607, 3891, 814, 14462, 2960, 11607, 3891, 814, 6328, 601, 4064, 11607, 3891, 814, 30255, 267, 2083, 20321, 9221, 18133, 6960, 4552, 11607, 3891, 568, 28489, 855, 3514, 543, 2178, 11607, 3891, 568, 4988, 538, 11912, 267, 16150, 525, 543, 20015, 2478, 1317, 646, 814, 547, 2661, 10199, 538, 519, 19069, 269, 910, 3891, 568, 9849, 3037, 539, 543, 678, 5792, 9660, 607, 513, 1267, 540, 7836, 3275, 538, 519, 3552, 563, 26045, 7592, 3891, 2833, 1114, 2790, 2829, 543, 4664, 281, 4250, 630, 20357, 519, 20987, 26301, 267, 519, 12681, 10523, 543, 646, 781, 676, 5128, 538, 519, 1647, 540, 24076, 1070, 18354, 543, 29359, 630, 20357, 1010, 3237, 5063, 32682, 1027, 1070, 26416, 6888, 630, 20357, 1010, 544, 636, 1185, 606, 26035, 609, 1776, 812, 1070, 4965, 630, 15290, 646, 13290, 547, 6146, 5128, 1317, 646, 814, 4503, 4126, 1070, 16236, 630, 515, 16858, 519, 12681, 547, 1964, 538, 4708, 264, 2073, 20420, 630, 20357, 646, 568, 4805, 585, 1082, 3275, 1040, 1717, 267, 7836, 942, 538, 1151, 3363, 2242, 1864, 883, 513, 811, 18507, 543, 3507, 894, 1268, 630, 515, 1483, 2478, 875, 4190, 519, 5251, 568, 543, 646, 568, 9684, 995, 547, 581, 9800, 1040, 4634, 1498, 646, 814, 930, 4158, 8090, 267, 646, 814, 2949, 513, 2318, 2790, 10182, 267, 786, 12741, 543, 8990, 547, 7639, 563, 8448, 18567, 630, 17367, 1275, 267, 7180, 9984, 3891, 31136, 12703, 569, 11607, 3891, 3085, 1405, 1205, 27209, 1932, 3362, 11607, 3891, 568, 5827, 543, 4199, 995, 1317, 646, 9388, 609, 782, 12204, 540, 2591, 11607, 3891, 568, 14388, 1317, 646, 973, 13569, 3533, 689, 2352, 3871, 11607, 3891, 568, 9921, 585, 1010, 2085, 1317, 646, 31136, 538, 513, 3743, 543, 8797, 1259, 11607, 3891, 13290, 547, 1832, 9350, 543, 1265, 3435, 11607, 0, 1432, 1411, 10261, 1677, 5700, 6168, 769, 25691, 454, 2005, 779, 606, 1898, 851, 540, 875, 707, 1560, 18203, 3294, 269, 769, 25691, 2337, 2149, 7063, 865, 789, 666, 12115, 5488, 1510, 5368, 329, 1722, 269, 2659, 4761, 1062, 10244, 525, 6553, 547, 4339, 1055, 897, 1091, 607, 1134, 563, 4913, 267, 950, 6553, 4991, 856, 540, 1688, 543, 3587, 5312, 267, 621, 666, 1291, 547, 12982, 3676, 543, 824, 4713, 269, 18227, 6553, 538, 2638, 568, 835, 540, 519, 1655, 2081, 547, 3986, 707, 2949, 1134, 5630, 267, 2094, 621, 666, 11874, 1764, 1169, 2460, 540, 707, 1072, 563, 275, 5871, 18467, 769, 25691, 18748, 338, 2659, 10610, 454, 7021, 335, 3174, 540, 6553, 666, 10413, 707, 8937, 267, 7700, 547, 3676, 899, 769, 11987, 14332, 601, 8376, 630, 296, 9720, 994, 32247, 6553, 666, 10413, 707, 1072, 538, 519, 1279, 2196, 269, 898, 779, 513, 1164, 16151, 3815, 585, 2295, 2068, 543, 1978, 11871, 563, 32391, 2986, 968, 299, 604, 5598, 892, 15302, 454, 1103, 25691, 666, 849, 3565, 547, 7378, 4187, 267, 1818, 621, 9875, 547, 6336, 2597, 267, 543, 1818, 621, 513, 1981, 3815, 585, 3987, 563, 1103, 25691, 666, 1764, 1169, 851, 540, 707, 1560, 267, 4611, 538, 1928, 602, 5205, 596, 782, 1554, 269, 901, 666, 2800, 707, 10688, 543, 2298, 540, 1272, 563, 20062, 2969, 25758, 22400, 715, 28692, 5254, 292, 4916, 11123, 23781, 296, 14110, 5058, 5442, 14566, 4456, 7246, 3582, 888, 2969, 654, 21822, 5990, 12088, 267, 744, 7838, 23184, 3201, 4959, 9215, 670, 5085, 303, 9358, 595, 7838, 12442, 589, 700, 9281, 292, 700, 4353, 3633, 654, 21822, 1107, 5442, 589, 700, 3008, 16249, 267, 670, 5357, 3041, 12087, 654, 17751, 563, 272, 269, 5192, 29615, 12930, 10163, 5272, 4303, 454, 273, 269, 9796, 23206, 1677, 2659, 31031, 8577, 700, 14110, 30600, 563, 274, 269, 7827, 2659, 10791, 563, 1320, 992, 856, 9268, 3536, 267, 2241, 11950, 267, 543, 24494, 16152, 269, 16202, 2635, 21364, 16719, 602, 616, 14095, 609, 1898, 8324, 543, 5567, 563, 275, 269, 5192, 8617, 11644, 563, 1607, 2337, 4339, 6553, 538, 1079, 2081, 1107, 1101, 267, 621, 2306, 596, 6793, 543, 1447, 2693, 547, 3614, 675, 3054, 269, 5822, 267, 621, 17160, 707, 1560, 2407, 540, 4550, 13611, 10399, 563, 276, 269, 6333, 26929, 566, 563, 2467, 616, 1082, 9360, 602, 666, 948, 2569, 6553, 267, 899, 23554, 7530, 595, 267, 667, 267, 13101, 267, 543, 15060, 268, 274, 9761, 7408, 269, 26451, 891, 666, 948, 6445, 10616, 538, 707, 2732, 267, 4180, 602, 707, 1560, 814, 3388, 621, 2115, 547, 20758, 1055, 29134, 6553, 563, 308, 11520, 12442, 22400, 700, 9281, 12239, 312, 4041, 1299, 654, 21822, 26614, 681, 5495, 2316, 301, 2464, 563, 3951, 24912, 661, 3008, 312, 9215, 717, 4953, 5254, 10813, 298, 5442, 744, 17162, 654, 17751, 306, 5508, 570, 3918, 288, 16249, 13698, 2562, 269, 8668, 24912, 29376, 292, 9215, 10790, 17395, 21614, 6865, 11123, 5990, 21832, 654, 17751, 306, 5508, 16777, 3201, 5058, 563, 11073, 2060, 634, 6196, 454, 301, 6347, 10680, 267, 23361, 267, 543, 1095, 18587, 1521, 519, 2360, 540, 5571, 6553, 1107, 789, 1810, 1406, 2232, 1018, 779, 2356, 693, 519, 4295, 540, 519, 1966, 563, 4322, 616, 19408, 267, 7199, 267, 942, 21791, 267, 543, 1419, 11213, 3681, 602, 666, 723, 20468, 2427, 2360, 563, 10673, 1406, 1711, 811, 2152, 982, 596, 4194, 1107, 2232, 519, 2014, 540, 707, 6553, 543, 707, 2589, 786, 1246, 563, 1103, 2060, 634, 1715, 454, 7804, 269, 631, 1229, 603, 2782, 1676, 267, 9647, 31517, 18874, 543, 13653, 540, 4270, 7869, 267, 2919, 519, 2200, 543, 2472, 593, 938, 3896, 547, 2322, 519, 1379, 540, 5355, 707, 2949, 9716, 538, 707, 3946, 563, 4263, 4270, 7869, 267, 938, 3804, 568, 547, 1683, 596, 609, 693, 25571, 3435, 596, 666, 2119, 1101, 267, 1354, 759, 15659, 547, 11213, 543, 7199, 7459, 563, 11039, 7869, 281, 5853, 539, 1677, 8081, 2659, 2657, 17644, 454, 7804, 269, 2782, 1676, 8547, 4270, 7869, 2687, 547, 1200, 4978, 827, 6198, 4915, 267, 610, 6198, 9716, 267, 18627, 6671, 4915, 563, 12648, 932, 1618, 2986, 2659, 2657, 2060, 4270, 7869, 454, 3519, 14846, 4915, 1419, 6772, 23697, 11455, 267, 1279, 3856, 6197, 2242, 538, 3870, 540, 1095, 21564, 5230, 31534, 267, 2857, 2056, 10792, 543, 12362, 5574, 899, 23361, 267, 543, 811, 538, 606, 3801, 547, 3247, 1928, 610, 2068, 607, 621, 4386, 563, 8340, 25682, 10201, 2510, 2334, 4518, 1107, 1280, 1411, 563, 296, 1589, 649, 782, 917, 602, 6671, 543, 2413, 4915, 568, 5114, 776, 543, 4062, 22596, 267, 6466, 1434, 4915, 1058, 581, 14942, 543, 7854, 519, 2898, 540, 596, 543, 707, 1560, 779, 1949, 563, 1692, 1284, 8081, 1411, 2201, 2659, 25682, 17714, 912, 293, 23341, 7067, 6212, 811, 593, 5885, 606, 2907, 2635, 6197, 1107, 610, 15268, 13467, 547, 1711, 513, 8902, 1259, 540, 2713, 1107, 3079, 540, 8806, 14775, 547, 4576, 543, 5945, 609, 5574, 2966, 547, 1152, 2232, 2589, 563, 4263, 4270, 7869, 267, 649, 3494, 602, 596, 616, 6038, 538, 5279, 540, 6104, 5109, 707, 1072, 3853, 269, 1284, 1175, 2285, 596, 519, 2645, 543, 2200, 596, 991, 547, 1205, 3323, 2509, 513, 2619, 547, 1732, 2949, 9716, 563, 2171, 3494, 602, 596, 1058, 581, 23518, 538, 707, 1072, 3460, 563, 12648, 634, 3689, 5153, 27870, 589, 5020, 700, 1882, 4270, 912, 303, 8008, 8085, 2752, 11581, 24102, 3201, 19154, 8104, 306, 454, 5978, 25779, 1280, 1411, 912, 5978, 3804, 568, 711, 547, 1521, 519, 2589, 540, 4576, 855, 547, 1489, 596, 538, 707, 1279, 3856, 9716, 3460, 607, 596, 2981, 707, 1072, 585, 519, 1732, 267, 538, 513, 1259, 602, 16569, 563, 27407, 267, 707, 1560, 814, 519, 2645, 621, 2115, 547, 1582, 13463, 531, 543, 1521, 2042, 269, 1284, 3274, 3343, 547, 3986, 1346, 2067, 5759, 563, 5978, 2472, 543, 2200, 616, 782, 2966, 547, 581, 5249, 16900, 883, 707, 2635, 6197, 563, 5591, 4387, 779, 20499, 267, 1100, 7199, 31534, 267, 1100, 5538, 17331, 2427, 2360, 1107, 1175, 2067, 3681, 602, 2965, 960, 269, 0, 12749, 21909, 687, 12618, 9650, 3553, 8018, 1280, 4841, 10778, 294, 9512, 9650, 3553, 8018, 1280, 4841, 769, 713, 1514, 3929, 1565, 4976, 1053, 12840, 547, 2328, 543, 1685, 513, 1236, 527, 602, 9727, 741, 3838, 1620, 540, 513, 2208, 5288, 6378, 14820, 2966, 585, 8772, 543, 11359, 12315, 707, 27503, 5856, 513, 4960, 547, 1628, 741, 2208, 14820, 1247, 20993, 741, 2123, 2239, 1603, 1983, 538, 713, 1603, 4976, 1053, 786, 1544, 856, 513, 1650, 827, 513, 942, 538, 741, 634, 3992, 568, 18799, 676, 1762, 8186, 5605, 26513, 543, 5925, 476, 272, 1272, 554, 2931, 1459, 518, 737, 520, 773, 555, 626, 13987, 945, 568, 8678, 676, 938, 2027, 16823, 4791, 18673, 1743, 6328, 601, 554, 28207, 513, 14850, 335, 5803, 4116, 563, 294, 9512, 9650, 3553, 8018, 1280, 4841, 589, 32563, 585, 1967, 538, 519, 2104, 540, 960, 568, 2348, 513, 2208, 14820, 952, 596, 1810, 512, 3494, 4757, 721, 585, 513, 1863, 4976, 609, 513, 14229, 752, 12744, 883, 519, 1184, 540, 2679, 3483, 995, 634, 26759, 324, 529, 896, 544, 3464, 522, 2998, 651, 521, 5279, 814, 9250, 606, 10728, 5859, 547, 5000, 519, 5610, 540, 20835, 14820, 7044, 543, 3211, 3056, 519, 2875, 1900, 676, 1900, 634, 5604, 540, 519, 13030, 1008, 739, 585, 2875, 1272, 786, 3136, 922, 5691, 3268, 547, 3268, 547, 682, 2355, 568, 513, 10319, 4674, 547, 6536, 15400, 6208, 543, 3895, 513, 2208, 14820, 538, 519, 2127, 540, 563, 294, 9512, 9650, 3553, 8018, 1280, 4841, 22175, 13976, 2390, 519, 6280, 521, 1699, 2883, 7924, 11036, 6666, 322, 6847, 538, 606, 5051, 607, 2106, 28942, 1158, 4199, 4099, 8689, 1629, 564, 686, 639, 897, 9109, 13922, 1396, 799, 568, 4628, 2228, 901, 568, 513, 1747, 1141, 930, 2731, 5863, 2208, 666, 4755, 952, 596, 616, 8348, 4781, 476, 272, 1004, 666, 581, 711, 1434, 2614, 713, 14820, 1797, 596, 1294, 1480, 1871, 607, 1689, 762, 543, 1945, 594, 19927, 875, 547, 4497, 1250, 1053, 593, 513, 5691, 3760, 543, 2366, 873, 1082, 10467, 543, 3211, 547, 581, 12193, 693, 1753, 1775, 849, 3323, 2921, 2661, 2228, 4255, 593, 31914, 904, 543, 1775, 666, 563, 10743, 540, 519, 1153, 540, 1272, 1810, 512, 991, 1082, 16929, 849, 1683, 29433, 3211, 543, 824, 2326, 543, 930, 3549, 849, 1450, 596, 547, 4647, 7044, 610, 4585, 1543, 563, 294, 9512, 9650, 3553, 8018, 1280, 4841, 269, 634, 4976, 568, 606, 25819, 540, 476, 275, 10578, 18697, 602, 786, 3986, 707, 4819, 781, 1702, 543, 5759, 269, 634, 3211, 616, 6035, 538, 1646, 958, 3617, 8747, 585, 3214, 540, 1114, 6502, 269, 17006, 543, 18946, 9981, 3211, 538, 1082, 9832, 1519, 513, 1297, 540, 5079, 585, 24324, 946, 563, 2791, 666, 2253, 609, 519, 26627, 27664, 17400, 1161, 543, 1310, 602, 1847, 4464, 609, 519, 27608, 17400, 1161, 269, 29986, 585, 3214, 786, 849, 581, 2864, 2241, 547, 1020, 538, 971, 513, 6752, 269, 1403, 596, 2811, 606, 2937, 543, 6999, 547, 2333, 707, 13002, 267, 621, 666, 581, 12913, 269, 1306, 513, 1267, 267, 538, 519, 2680, 602, 596, 2731, 6999, 547, 3986, 13002, 540, 707, 4819, 267, 31657, 547, 2263, 519, 5383, 540, 606, 10995, 1565, 1907, 1631, 2336, 13706, 875, 596, 6999, 547, 17492, 707, 4357, 5132, 3948, 269, 6884, 5022, 723, 547, 581, 14661, 547, 3514, 538, 513, 1880, 2230, 269, 1879, 513, 4484, 1281, 711, 723, 1022, 7299, 338, 899, 513, 3854, 589, 610, 966, 267, 519, 1360, 1101, 15497, 8482, 568, 9833, 607, 519, 6565, 269, 634, 4448, 543, 1793, 5896, 5022, 786, 581, 3833, 2241, 547, 1106, 2899, 519, 1082, 5546, 556, 19927, 1134, 269, 4634, 1945, 607, 2653, 607, 27378, 519, 4098, 4484, 540, 1279, 1913, 666, 4217, 707, 1126, 2087, 1010, 18551, 5759, 269, 12618, 9650, 3553, 8018, 1280, 4841, 563, 2467, 3884, 1405, 4376, 899, 513, 24077, 1650, 267, 543, 4986, 899, 1373, 519, 1268, 945, 3323, 513, 12021, 4683, 10828, 269, 5463, 4575, 2390, 519, 4998, 1935, 8905, 595, 27641, 1603, 568, 10416, 8678, 5346, 13002, 269, 6657, 2542, 676, 3054, 607, 1419, 607, 2009, 563, 10932, 4683, 17691, 547, 3489, 513, 1523, 540, 1018, 781, 856, 972, 1991, 547, 1818, 513, 1007, 835, 269, 1411, 616, 1869, 711, 2386, 519, 18119, 723, 519, 1697, 2856, 269, 28900, 267, 596, 4465, 1405, 946, 519, 5354, 540, 707, 2093, 269, 1403, 596, 4312, 3893, 606, 2856, 585, 513, 1907, 5225 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 950, 1535, 815, 476, 275, 267, 586, 815, 910, 273, 347, 275, 910, 476, 274, 347, 1341, 476, 275, 815, 910, 273, 263, 272, 264, 1341, 476, 275, 815, 476, 273, 269, 901, 3947, 721, 519, 1448, 630, 275, 267, 476, 273, 6393, 5522, 31857, 891, 2798, 543, 8220, 873, 609, 513, 5347, 7455, 267, 649, 1205, 519, 3113, 540, 519, 3830, 586, 815, 910, 273, 347, 343, 910, 476, 274, 347, 1341, 476, 275, 780, 2162, 7726, 476, 277, 692, 9223, 476, 277, 7318, 1053, 262, 1620, 540, 32568, 3252, 269, 634, 2243, 4280, 585, 519, 1871, 540, 1535, 950, 2845, 3287, 264, 815, 476, 273, 269, 1677, 4194, 713, 3830, 267, 649, 666, 27682, 621, 538, 12825, 1106, 607, 476, 1015, 317, 273, 815, 1535, 269, 4475, 267, 1535, 815, 476, 1911, 780, 1012, 10390, 692, 763, 10789, 476, 273, 4873, 476, 1001, 278, 3204, 757, 981, 729, 513, 3102, 1449, 602, 13934, 1053, 262, 1620, 543, 3498, 540, 15821, 2035, 269, 1635, 17265, 519, 4267, 543, 3137, 3177, 538, 713, 2376, 267, 1053, 666, 2744, 513, 1732, 1620, 540, 519, 1570, 4988, 538, 519, 981, 543, 2087, 741, 2773, 538, 2104, 10526, 269, 5457, 267, 2259, 543, 16177, 616, 1883, 547, 13215, 15821, 2035, 269, 6153, 9939, 256, 0, 258, 31538, 6153, 1145, 6361, 6363, 527, 4530, 692, 1012, 1548, 568, 5564, 30796, 17392, 2496, 1892, 7673, 589, 1109, 20123, 30796, 3892, 28812, 3989, 676, 1022, 1109, 330, 1109, 22238, 3809, 533, 272, 267, 533, 273, 267, 533, 330, 602, 2040, 547, 9322, 780, 1892, 7673, 1280, 1383, 267, 2015, 519, 1739, 968, 334, 24810, 892, 17114, 540, 631, 261, 300, 4778, 780, 1892, 634, 19165, 616, 1384, 1892, 7673, 3143, 6724, 616, 6059, 630, 332, 1109, 284, 476, 271, 264, 543, 972, 616, 1109, 322, 1109, 284, 476, 277, 5049, 267, 865, 519, 5232, 540, 5191, 616, 1384, 333, 815, 1109, 322, 1109, 1109, 332, 1109, 1700, 476, 272, 815, 476, 277, 1107, 476, 271, 1107, 476, 272, 692, 1012, 31538, 17392, 692, 1892, 7673, 634, 1109, 684, 6134, 22556, 6361, 1922, 527, 1109, 11687, 568, 513, 2027, 2013, 540, 519, 1617, 30796, 538, 799, 1169, 1871, 814, 519, 1482, 4960, 540, 12136, 780, 1892, 7673, 634, 1109, 14024, 30026, 1449, 1109, 1721, 513, 7833, 3892, 19776, 782, 1109, 322, 1109, 25364, 8195, 780, 1892, 7673, 634, 19165, 616, 1384, 1012, 31538, 23184, 293, 4530, 281, 1109, 6828, 539, 4578, 692, 1892, 7673, 634, 1449, 666, 581, 5340, 593, 1239, 602, 616, 2907, 9184, 4327, 883, 2516, 780, 1892, 7673, 12433, 519, 4397, 4908, 1109, 1109, 1721, 1142, 1591, 780, 1892, 7673, 634, 5232, 540, 5191, 616, 562, 815, 524, 1107, 476, 272, 2094, 972, 616, 1100, 6724, 585, 519, 7833, 3892, 780, 1892, 7673, 5136, 1555, 519, 2565, 1871, 1109, 1109, 5228, 25715, 661, 585, 519, 5551, 1377, 540, 4644, 513, 780, 1892, 7673, 634, 1109, 335, 17032, 666, 581, 5833, 689, 9185, 780, 1892, 7673, 1234, 915, 1109, 1109, 604, 1109, 335, 17032, 1109, 283, 1109, 780, 763, 2856, 3297, 519, 1109, 14024, 30026, 22556, 6361, 1922, 527, 1449, 28812, 547, 1294, 952, 519, 3732, 2501, 689, 519, 2551, 609, 519, 10645, 3892, 269, 6271, 1259, 540, 3168, 693, 602, 568, 547, 2307, 952, 519, 4908, 3892, 13352, 513, 1808, 4806, 780, 10521, 2418, 616, 3238, 267, 606, 4767, 1871, 267, 799, 568, 519, 4908, 540, 513, 7121, 689, 513, 3732, 267, 543, 519, 4397, 4908, 267, 799, 568, 7229, 1759, 2390, 519, 10645, 3892, 780, 763, 2856, 568, 602, 952, 519, 4767, 4908, 568, 2731, 2673, 547, 519, 10645, 630, 1410, 4624, 264, 4908, 267, 1287, 519, 4009, 540, 519, 24017, 786, 581, 1507, 269, 634, 4009, 540, 519, 11539, 568, 5258, 676, 519, 4397, 4908, 547, 1109, 7076, 12451, 269, 589, 3017, 540, 476, 1015, 949, 581, 1360, 1713, 952, 476, 1321, 729, 519, 4397, 4908, 267, 855, 513, 3017, 540, 476, 1015, 3884, 1405, 1360, 1713, 693, 782, 952, 519, 1109, 1410, 4624, 4908, 1109, 13195, 476, 6344, 271, 780, 2252, 519, 2040, 540, 891, 22051, 16302, 24017, 568, 1507, 267, 519, 4767, 12451, 616, 2673, 547, 519, 4397, 12451, 543, 972, 1131, 581, 1100, 2601, 547, 7947, 519, 3409, 602, 621, 3357, 689, 602, 3892, 269, 8307, 950, 519, 2040, 568, 1804, 568, 519, 2601, 547, 2243, 519, 3892, 269, 4475, 267, 519, 1109, 14024, 30026, 22556, 6361, 1922, 527, 1449, 28812, 2141, 513, 1318, 2766, 1449, 269, 2353, 971, 2798, 616, 4988, 538, 1109, 21809, 2065, 14581, 1109, 15276, 267, 1109, 10112, 9892, 948, 1109, 520, 1109, 339, 3757, 560, 12781, 2593, 692, 763, 1449, 18802, 814, 513, 16584, 30026, 3892, 950, 519, 1739, 10054, 616, 1558, 692, 2162, 634, 1239, 616, 5833, 689, 513, 4351, 3732, 692, 763, 4397, 4908, 540, 1142, 7121, 1590, 581, 693, 2547, 476, 276, 269, 901, 4422, 1394, 547, 519, 10421, 602, 519, 1239, 581, 7363, 7856, 269, 1411, 2811, 1138, 6819, 513, 1617, 30796, 4603, 630, 6748, 513, 15768, 3892, 264, 609, 519, 22556, 6361, 1922, 527, 1449, 630, 663, 513, 6024, 3892, 1070, 543, 952, 1142, 4397, 4908, 568, 693, 2547, 2947, 1287, 596, 666, 946, 519, 3339, 3892, 547, 16977, 630, 332, 1276, 899, 519, 23481, 1040, 1403, 519, 4397, 692, 1012, 634, 1739, 616, 3601, 540, 519, 7833, 22556, 6361, 1922, 527, 1449, 692, 1892, 634, 1239, 616, 519, 4767, 12451, 269, 901, 1797, 602, 972, 568, 1152, 835, 1239, 1871, 585, 1142, 7121, 269, 4475, 267, 4429, 1892, 634, 5232, 540, 5191, 616, 835, 1447, 982, 519, 1297, 540, 6688, 267, 711, 835, 1447, 982, 519, 3732, 2450, 563, 1892, 898, 568, 2141, 513, 1318, 2766, 1449, 563, 1892, 898, 814, 513, 16584, 30026, 3892, 563, 1892, 634, 1871, 540, 519, 1449, 18802, 3085, 1405, 1689, 952, 519, 1931, 540, 519, 6688, 568, 23564, 563, 1892, 634, 1449, 18802, 568, 692, 4322, 5767, 7835, 616, 782, 4988, 538, 519, 6780, 948, 610, 1109, 10112, 9892, 948, 267, 538, 1109, 21809, 2065, 1109, 520, 1109, 339, 3757, 560, 12781, 2593, 780, 307, 3757, 560, 12781, 2593, 1109, 25075, 1938, 12905, 1109, 24610, 1740, 948, 1109, 520, 10257, 10997, 609, 2143, 4267, 547, 707, 1109, 21809, 2065, 2055, 1109, 810, 602, 596, 1205, 547, 1174, 707, 10467, 610, 6780, 1732, 6306, 689, 2348, 519, 4267, 269, 3776, 21493, 616, 26526, 11727, 543, 723, 1296, 540, 1995, 3246, 1109, 4462, 6134, 6153, 1145, 6361, 6363, 527, 4530, 1109, 24610, 1740, 948, 610, 7084, 948, 780, 1012, 13565, 11762, 692, 5472, 10803, 11762, 692, 5415, 1627, 26031, 0, 22706, 476, 278, 281, 15051, 609, 21929, 10606, 692, 305, 908, 1384, 10059, 2517, 4178, 269, 613, 3073, 328, 770, 663, 1841, 3820, 270, 10481, 3073, 807, 268, 18184, 1841, 22077, 1090, 1168, 3311, 270, 278, 628, 5336, 987, 268, 16215, 268, 272, 15005, 692, 13349, 11759, 11621, 692, 278, 269, 10064, 269, 272, 910, 15233, 543, 8831, 3105, 24300, 540, 1840, 543, 12408, 547, 1039, 543, 10208, 7787, 2338, 282, 2099, 1840, 543, 12408, 593, 513, 8880, 610, 7299, 1297, 1899, 6516, 780, 278, 269, 10064, 269, 272, 320, 910, 14674, 3871, 538, 799, 6587, 9424, 9192, 547, 1118, 476, 271, 780, 278, 269, 10064, 269, 272, 321, 910, 13760, 1109, 335, 1109, 266, 1109, 336, 1109, 553, 519, 1297, 4092, 513, 3845, 1923, 336, 347, 689, 1109, 335, 267, 538, 519, 2318, 610, 2942, 4287, 4470, 593, 2436, 1109, 336, 28812, 2318, 610, 2942, 269, 8058, 602, 513, 1297, 543, 922, 6587, 723, 513, 2040, 540, 476, 271, 630, 732, 19605, 538, 951, 525, 1040, 19873, 18304, 540, 7787, 2338, 676, 10503, 1483, 8996, 8658, 780, 278, 269, 10064, 269, 272, 322, 910, 13760, 12408, 540, 7787, 2338, 607, 4946, 519, 19605, 11201, 28872, 1109, 268, 1109, 336, 1109, 284, 1109, 335, 1109, 266, 11196, 336, 1040, 8058, 602, 519, 3845, 1063, 1079, 7787, 2338, 593, 519, 1297, 1899, 568, 519, 6207, 1871, 540, 741, 3017, 267, 543, 4019, 713, 6240, 538, 1483, 8996, 8658, 780, 278, 269, 10064, 269, 272, 323, 910, 15233, 3601, 540, 4238, 607, 2994, 547, 1039, 543, 10208, 7787, 2338, 780, 278, 269, 10064, 269, 273, 910, 15233, 543, 8831, 3105, 24300, 540, 8691, 543, 6498, 543, 540, 8454, 547, 9062, 543, 7941, 7787, 2338, 780, 278, 269, 10064, 269, 273, 320, 910, 13760, 602, 8691, 568, 6905, 689, 8454, 547, 7787, 2338, 676, 8506, 602, 4238, 3136, 547, 14183, 519, 3601, 540, 4238, 267, 3226, 519, 2733, 5737, 3959, 267, 3056, 547, 2472, 971, 607, 11196, 272, 7565, 268, 272, 264, 815, 476, 272, 543, 519, 3652, 585, 14921, 9896, 2338, 269, 19873, 2472, 540, 7787, 2338, 676, 10503, 1483, 8996, 8658, 780, 278, 269, 10064, 269, 273, 321, 910, 13760, 602, 9981, 666, 581, 5258, 267, 3177, 602, 519, 27708, 568, 711, 4642, 267, 543, 1169, 23479, 540, 9981, 630, 5976, 1875, 25179, 27708, 264, 568, 513, 7787, 1297, 269, 1403, 1109, 335, 30548, 1109, 336, 1109, 732, 9981, 267, 1287, 910, 263, 335, 270, 336, 264, 815, 11196, 335, 8358, 336, 1109, 284, 1109, 335, 270, 8987, 336, 1040, 19873, 9889, 1801, 540, 7787, 2338, 676, 10503, 1483, 8996, 8658, 780, 278, 269, 10064, 269, 273, 322, 1109, 910, 7343, 569, 3601, 540, 4238, 607, 2994, 547, 9062, 543, 7941, 7787, 2338, 780, 278, 269, 10064, 269, 273, 323, 910, 22417, 513, 7787, 1297, 547, 513, 8918, 1210, 1279, 6498, 282, 917, 602, 519, 8918, 1106, 540, 513, 7787, 1297, 2165, 7149, 538, 14642, 610, 5555, 28197, 780, 278, 269, 10064, 269, 274, 910, 16534, 1483, 8996, 543, 6310, 2042, 5473, 519, 2185, 4238, 609, 7787, 2338, 780, 18184, 1841, 585, 19556, 6657, 692, 6573, 269, 272, 5269, 2631, 540, 2042, 543, 829, 572, 3164, 538, 6061, 873, 780, 6573, 269, 273, 17217, 7493, 569, 543, 11050, 569, 780, 6573, 269, 274, 7844, 609, 6128, 780, 20373, 540, 5149, 692, 763, 1770, 968, 23330, 725, 609, 21929, 10606, 892, 689, 11908, 11298, 292, 6212, 593, 1620, 540, 4238, 540, 7787, 2338, 269, 4841, 8831, 3105, 1620, 540, 5665, 609, 8454, 547, 4946, 267, 18946, 267, 14921, 267, 543, 12270, 7787, 2338, 269, 634, 1770, 568, 533, 3166, 547, 476, 736, 268, 1839, 2395, 543, 5161, 540, 476, 279, 2773, 4247, 269, 3962, 4305, 568, 4843, 538, 513, 1483, 8996, 2796, 543, 2636, 1053, 547, 1020, 741, 1378, 2994, 269, 4841, 2203, 519, 4238, 540, 7787, 2338, 538, 2789, 2081, 543, 1413, 585, 3270, 538, 1931, 547, 5352, 6620, 780, 25519, 1903, 692, 21010, 19107, 3610, 1058, 581, 3222, 602, 2773, 4247, 798, 711, 2697, 799, 4441, 630, 20880, 610, 2259, 264, 616, 1373, 9619, 269, 634, 1770, 1281, 711, 1331, 519, 1739, 3334, 1384, 1892, 3889, 585, 7598, 543, 11264, 2773, 4247, 269, 1703, 616, 1100, 14292, 4967, 630, 24987, 10569, 267, 6299, 7879, 267, 2875, 960, 5439, 1916, 1892, 15285, 610, 7028, 585, 1053, 2324, 1657, 270, 10964, 578, 3446, 1377, 267, 2296, 1893, 6267, 267, 610, 1053, 609, 9124, 563, 1892, 513, 14805, 894, 2773, 4305, 610, 824, 1826, 540, 14805, 894, 4879, 563, 1892, 1703, 568, 1152, 3908, 946, 540, 2029, 269, 0, 258, 9050, 18695, 540, 8728, 476, 276, 9492, 1142, 616, 5116, 2427, 676, 2427, 543, 12758, 1927, 269, 604, 519, 9018, 2627, 4805, 568, 13556, 693, 476, 4968, 8297, 701, 525, 829, 25451, 2695, 516, 267, 22772, 519, 1942, 540, 7206, 780, 272, 454, 2421, 31670, 592, 305, 1195, 1556, 454, 680, 345, 4194, 621, 692, 1012, 12226, 692, 1001, 278, 268, 4905, 268, 5400, 307, 1691, 281, 1839, 281, 866, 266, 4962, 281, 1789, 454, 2252, 1079, 18695, 616, 8678, 267, 1287, 519, 25739, 3337, 786, 581, 513, 7750, 1355, 543, 519, 3259, 540, 602, 7750, 1355, 786, 581, 7466, 519, 6316, 540, 1142, 13306, 14720, 1348, 628, 543, 4463, 616, 519, 6316, 540, 13306, 563, 11997, 32586, 3259, 540, 519, 7750, 1355, 10857, 6661, 273, 265, 276, 284, 1015, 9492, 454, 289, 1348, 628, 540, 519, 7750, 1355, 6357, 6661, 276, 9492, 454, 3891, 697, 540, 519, 7750, 1355, 22607, 6661, 276, 9492, 454, 13707, 2627, 1858, 540, 519, 7750, 1355, 284, 273, 314, 331, 321, 17070, 327, 266, 331, 327, 2639, 284, 273, 27007, 1015, 265, 276, 11924, 263, 276, 265, 276, 11924, 263, 1015, 265, 276, 22708, 284, 273, 263, 2004, 266, 1839, 266, 2004, 994, 284, 273, 263, 10219, 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 ]

[ 269, 2991, 12158, 543, 10543, 5433, 4411, 563, 275, 628, 281, 13192, 344, 543, 7646, 1376, 269, 24761, 1145, 2799, 998, 519, 1554, 1498, 21617, 2011, 8452, 1472, 546, 23677, 563, 276, 628, 281, 6129, 5500, 267, 15470, 344, 1376, 609, 513, 1906, 12269, 689, 942, 547, 942, 269, 634, 15470, 30174, 782, 1554, 593, 519, 6371, 563, 277, 628, 281, 6129, 5500, 543, 4411, 1376, 267, 15470, 24850, 693, 476, 1556, 600, 547, 4734, 7646, 1922, 324, 9934, 2038, 12784, 269, 13192, 5394, 2989, 609, 4764, 21945, 1175, 1354, 476, 275, 10975, 543, 9434, 513, 7008, 540, 3108, 269, 7843, 335, 2799, 998, 519, 3781, 563, 278, 628, 281, 13192, 344, 543, 7646, 1376, 563, 279, 628, 281, 13192, 344, 543, 1360, 5134, 344, 593, 4155, 547, 4400, 16047, 269, 2368, 6505, 28542, 689, 476, 1015, 269, 1789, 600, 269, 1849, 537, 3429, 538, 1586, 538, 519, 12784, 855, 7646, 563, 280, 628, 281, 13192, 344, 267, 14927, 1376, 609, 4764, 10825, 538, 693, 544, 1342, 599, 1287, 26742, 611, 1227, 883, 519, 12784, 269, 13068, 28542, 16074, 563, 1015, 628, 281, 13192, 344, 1376, 609, 9642, 21386, 2282, 29869, 563, 1556, 628, 281, 6129, 5500, 521, 691, 609, 1175, 513, 1906, 15921, 15252, 267, 713, 15921, 15252, 2799, 689, 942, 547, 942, 563, 1321, 628, 281, 13192, 344, 543, 16830, 1376, 269, 29035, 838, 9231, 693, 476, 1556, 600, 1354, 1292, 4764, 8452, 693, 29869, 1107, 1287, 986, 1441, 998, 519, 12784, 543, 10917, 12628, 269, 18614, 540, 6777, 538, 24900, 693, 476, 13679, 271, 345, 269, 16176, 538, 25548, 619, 15842, 758, 693, 476, 277, 10975, 799, 5795, 513, 8720, 540, 476, 5390, 6777, 543, 1793, 2313, 799, 16768, 998, 2394, 476, 280, 600, 593, 6371, 543, 6517, 269, 3807, 936, 476, 2004, 260, 540, 6371, 4988, 563, 1724, 628, 281, 24761, 1376, 267, 6777, 1166, 584, 1845, 10825, 538, 693, 476, 280, 269, 1789, 600, 609, 18219, 16802, 693, 476, 1015, 269, 1015, 600, 1107, 6777, 16768, 11489, 1472, 29869, 1287, 729, 1175, 31063, 1107, 1100, 2417, 13250, 269, 12019, 16074, 1498, 1932, 1454, 30089, 585, 2011, 15470, 563, 1691, 628, 281, 13192, 344, 1376, 609, 930, 5671, 14794, 693, 29869, 269, 7581, 2130, 12784, 609, 2038, 2666, 15470, 1354, 7432, 31063, 693, 476, 272, 600, 609, 4764, 538, 519, 2038, 3108, 563, 1428, 628, 281, 8752, 4764, 547, 1376, 543, 9991, 593, 543, 1055, 2394, 476, 274, 10975, 563, 1626, 628, 281, 8752, 4764, 547, 1376, 799, 4682, 593, 883, 519, 6640, 7064, 547, 513, 23740, 12966, 540, 4764, 1107, 519, 1267, 540, 1373, 593, 519, 10465, 540, 1079, 2011, 13999, 563, 1704, 628, 281, 24761, 1376, 609, 6531, 543, 1769, 15470, 267, 519, 6531, 21757, 609, 4411, 4395, 1055, 519, 11782, 269, 12019, 267, 26546, 12784, 4553, 609, 15470, 4166, 1310, 4158, 563, 1240, 628, 281, 6129, 5500, 267, 1360, 4411, 1376, 609, 15191, 15333, 2812, 2066, 519, 6607, 269, 6129, 5500, 782, 1554, 27502, 609, 15470, 1310, 4158, 1107, 711, 607, 4411, 607, 3105, 3781, 1107, 5934, 729, 693, 476, 280, 600, 3105, 1554, 563, 866, 628, 281, 6129, 5500, 1376, 609, 513, 1906, 4963, 6350, 1472, 602, 1500, 585, 513, 20498, 21554, 269, 7843, 335, 3636, 539, 909, 18334, 982, 3105, 1554, 609, 15470, 17666, 269, 12019, 1586, 16074, 1498, 989, 2787, 540, 519, 2539, 6106, 15286, 10917, 9991, 2417, 982, 476, 275, 269, 272, 290, 563, 736, 628, 281, 6129, 5500, 267, 1360, 4411, 1376, 609, 15470, 563, 2641, 560, 281, 6129, 5500, 267, 1360, 4411, 1376, 609, 24106, 782, 1554, 267, 29778, 29886, 782, 1554, 538, 519, 12094, 1107, 519, 2666, 1631, 4224, 2182, 269, 12019, 652, 3781, 2094, 5130, 476, 1001, 274, 563, 2420, 526, 281, 6129, 5500, 267, 1360, 4411, 1376, 609, 5230, 15470, 269, 634, 15470, 19388, 1229, 782, 1554, 538, 519, 12094, 269, 5695, 940, 5134, 344, 693, 546, 23677, 609, 10053, 15649, 540, 16171, 20893, 3384, 269, 6271, 9793, 15470, 609, 513, 476, 1240, 268, 6187, 1970, 540, 910, 275, 269, 279, 290, 563, 2537, 6113, 281, 674, 690, 4445, 1376, 609, 10053, 267, 16171, 15649, 593, 654, 534, 560, 1737, 4469, 1846, 269, 774, 27903, 538, 519, 8498, 1498, 1869, 18476, 269, 634, 20893, 729, 1459, 883, 27538, 5682, 563, 2190, 628, 281, 27190, 344, 1376, 609, 24790, 540, 5394, 20893, 15649, 2938, 593, 519, 4469, 1846, 269, 1703, 12898, 13566, 543, 16990, 538, 519, 24106, 563, 1839, 628, 281, 674, 690, 4445, 1376, 1498, 930, 24850, 855, 1869, 2451, 5134, 344, 6640, 269, 28214, 4411, 607, 2842, 2799, 269, 2368, 1166, 584, 1845, 540, 6777, 693, 476, 279, 269, 1789, 600, 563, 2918, 628, 281, 13192, 344, 543, 4411, 267, 4743, 6151, 538, 519, 2842, 609, 1166, 584, 1845, 540, 6777, 602, 12306, 593, 17362, 906, 538, 654, 534, 560, 1737, 269, 12019, 543, 6151, 998, 519, 1554, 609, 9642, 2312, 8884, 1107, 10917, 9782, 547, 476, 271, 269, 273, 290, 1175, 1354, 546, 23677, 865, 1100, 4672, 1554, 269, 21708, 23498, 16074, 609, 15470, 1354, 6531, 18202, 538, 609, 9642, 1166, 820, 540, 6777, 563, 2767, 628, 281, 24761, 855, 609, 6531, 5394, 2287, 693, 476, 280, 269, 1789, 600, 609, 9793, 17643, 267, 1287, 17321, 269, 1744, 17369, 17643, 693, 476, 14681, 271, 609, 2999, 276, 7825, 30339, 543, 8593, 693, 476, 736, 7825, 10774, 337, 269, 2368, 20498, 15921, 592, 517, 12494, 639, 563, 2764, 628, 281, 13192, 344, 1376, 1498, 609, 930, 21386, 2394, 476, 1556, 600, 563, 3066, 628, 281, 13192, 344, 267, 9602, 4365, 782, 1554, 563, 1789, 628, 281, 13192, 344, 267, 796, 1231, 25378, 1554, 269, 2368, 1769, 4764, 693, 476, 273, 600, 563, 4029, 560, 281, 13192, 344, 609, 4764, 3168, 2693, 269, 14175, 8452, 538, 10543, 543, 8593, 23557, 1836, 998, 519, 3781, 543, 1310, 21554, 563, 2467, 941, 930, 8037, 4365, 17408, 1115, 689, 1472, 519, 5177, 563, 2005, 729, 849, 513, 3923, 540, 26037, 538, 2342, 543, 11992, 269, 3371, 616, 513, 1906, 1806, 594, 17408, 9643, 2429, 5130, 563, 296, 3314, 519, 5130, 476, 2735, 278, 11963, 899, 621, 729, 19108, 269, 594, 8910, 11231, 547, 3251, 609, 1250, 31225, 543, 11515, 538, 513, 6917, 851, 540, 5045, 10507, 16303, 269, 634, 9472, 676, 27950, 15966, 2532, 650, 593, 519, 11016, 3781, 729, 585, 513, 4411, 15964, 609, 2009, 6777, 1166, 584, 1845, 2282, 519, 5032, 269, 2048, 6546, 3580, 798, 8730, 594, 2219, 563, 296, 9575, 513, 4571, 2173, 528, 940, 5721, 689, 7931, 5112, 593, 519, 14349, 6640, 269, 1306, 594, 771, 10603, 1046, 539, 693, 14105, 548, 662, 594, 729, 28280, 676, 875, 4411, 621, 8604, 547, 723, 5828, 269, 634, 7227, 693, 519, 1668, 3247, 729, 1500, 8338, 607, 1250, 11515, 729, 16607, 538, 16116, 803, 909, 282, 513, 3109, 16463, 29075, 594, 729, 9849, 693, 519, 942, 729, 11207, 16283, 563, 5591, 2339, 267, 1498, 267, 607, 594, 729, 4166, 3636, 539, 909, 593, 8757, 1250, 31225, 779, 2777, 267, 5280, 2417, 676, 2295, 344, 1753, 5986, 269, 14349, 729, 6170, 6117, 5180, 6917, 10507, 16303, 281, 1250, 11515, 6785, 513, 1906, 6705, 543, 729, 513, 16994, 986, 3387, 2401, 269, 1284, 15336, 513, 5547, 1472, 670, 8911, 7615, 13111, 563, 296, 1589, 649, 14478, 7982, 547, 519, 8892, 602, 3781, 269, 1635, 519, 942, 594, 4682, 547, 5127, 594, 3314, 972, 729, 513, 7452, 532, 540, 6777, 593, 519, 2666, 269, 1280, 930, 2601, 594, 6854, 24971, 909, 267, 1142, 942, 3168, 3544, 547, 1294, 519, 1628, 5346, 540, 6777, 563, 2467, 729, 1472, 2185, 6279, 676, 6640, 543, 267, 1310, 14254, 267, 594, 4682, 609, 1250, 11515, 585, 513, 5397, 1472, 519, 1482, 6917, 9634, 607, 14349, 269, 634, 13111, 729, 4098, 547, 4672, 936, 543, 594, 3314, 1250, 11515, 2542, 513, 18278, 26282, 543, 6031, 602, 621, 729, 968, 572, 1597, 5232, 540, 15470, 9731, 2691, 594, 2451, 14105, 548, 662, 602, 10543, 519, 6777, 729, 9991, 5394, 543, 3728, 543, 519, 5721, 8604, 547, 581, 21409, 14887, 982, 8912, 269, 1879, 621, 8959, 547, 1847, 689, 30715, 7615, 6728, 1310, 476, 1015, 3764, 594, 6785, 1945, 729, 909, 282, 519, 9856, 9307, 602, 519, 14743, 1185, 13792, 547, 519, 13475, 269, 15526, 771, 10603, 1046, 539, 543, 9575, 1776, 269, 2991, 6028, 30715, 7615, 594, 8068, 602, 519, 6777, 3382, 7930, 8519, 267, 609, 1175, 606, 476, 6005, 1606, 13610, 899, 8720, 538, 7931, 5112, 563, 7069, 10982, 599, 693, 2348, 2451, 513, 5162, 4898, 1633, 538, 14105, 548, 662, 20374, 593, 24971, 909, 593, 519, 11728, 6640, 543, 7487, 513, 1434, 1906, 6279, 1185, 15468, 563, 289, 6195, 16505, 9724, 1459, 619, 18205, 569, 5143, 721, 875, 3983, 1919, 941, 269, 634, 1772, 548, 540, 2701, 653, 5674, 729, 2759, 1055, 543, 5721, 2533, 941, 16094, 4299, 1107, 594, 4769, 1406, 979, 547, 1153, 2899, 602, 3018, 1317, 519, 30079, 941, 13792, 269, 1280, 2899, 519, 2175, 267, 10630, 538, 713, 22089, 689, 774, 1868, 5240, 267, 20083, 519, 1728, 701, 563, 292, 770, 5507, 281, 5484, 645, 659, 541, 23579, 729, 2713, 538, 631, 850, 7736, 538, 476, 2735, 278, 269, 1261, 1767, 281, 968, 296, 729, 2713, 593, 519, 476, 1428, 628, 6989, 540, 513, 13486, 3625, 693, 519, 942, 269, 634, 12675, 4411, 3361, 519, 1292, 1216, 1567, 518, 883, 519, 3625, 547, 19068, 865, 1100, 835, 538, 5176, 476, 6110, 1166, 1846, 630, 11004, 941, 513, 6292, 540, 7161, 264, 1185, 4881, 454, 4248, 269, 898, 5828, 856, 547, 581, 2009, 547, 7148, 883, 519, 3677, 8265, 1292, 454, 5976, 513, 1796, 1790, 6559, 563, 15430, 636, 2406, 519, 3586, 946, 6854, 621, 4881, 1498, 454, 296, 8910, 723, 2219, 621, 1131, 723, 547, 581, 6569, 693, 3781, 269, 594, 1810, 1406, 11291, 454, 6011, 1279, 602, 16768, 855, 621, 729, 811, 982, 513, 7008, 540, 2395, 3034, 12709, 4032, 625, 281, 6723, 4425, 1054, 267, 945, 729, 2713, 538, 661, 6137, 267, 10507, 16303, 267, 693, 519, 942, 267, 6045, 875, 519, 4365, 4299, 1864, 281, 968, 4002, 519, 11728, 630, 1321, 270, 272, 270, 9262, 264, 594, 10483, 513, 1895, 540, 1762, 5640, 547, 519, 3163, 7467, 269, 6736, 519, 4411, 543, 6777, 789, 941, 6126, 547, 3802, 547, 519, 6728, 630, 663, 789, 1969, 539, 2933, 1040, 898, 729, 513, 9490, 8289, 547, 1294, 454, 2750, 22128, 10003, 4988, 538, 602, 5394, 6960, 880, 13792, 7452, 799, 4386, 454, 15290, 5210, 616, 27229, 1932, 1970, 585, 2126, 547, 581, 2500, 563, 8253, 865, 1434, 3377, 585, 519, 1153, 8122, 267, 2705, 269, 898, 5555, 1185, 547, 581, 454, 516, 31419, 1310, 513, 1216, 7382, 9706, 6559, 16802, 1310, 513, 555, 1177, 3034, 24730, 267, 945, 10443, 513, 4365, 6728, 538, 661, 6137, 267, 3773, 281, 968, 4002, 476, 1321, 270, 272, 270, 9262, 519, 5021, 2837, 538, 661, 6137, 729, 910, 279, 269, 271, 322, 543, 519, 5934, 729, 910, 1015, 269, 271, 290, 269, 634, 2048, 338, 852, 3178, 13506, 685, 729, 1360, 14869, 32065, 4149, 292, 609, 10323, 10507, 16303, 27582, 5507, 543, 715, 13573, 8391, 1454, 3152, 8813, 982, 4025, 899, 661, 6137, 269, 1717, 267, 621, 729, 519, 4049, 15470, 602, 3361, 1082, 454, 2889, 21793, 267, 3226, 538, 4587, 5656, 3034, 291, 1511, 12397, 6202, 267, 513, 19622, 10196, 267, 689, 700, 664, 18484, 267, 10507, 16303, 267, 1767, 281, 968, 296, 729, 2324, 607, 606, 10512, 10196, 693, 513, 21137, 2126, 2030, 538, 14175, 5069, 2073, 10507, 16303, 269, 630, 26780, 16907, 965, 540, 670, 26205, 267, 630, 3286, 7532, 540, 5507, 1040, 594, 3314, 621, 1134, 1317, 585, 519, 1101, 942, 4896, 1223, 3314, 519, 21137, 729, 16171, 593, 10024, 519, 1568, 998, 519, 9584, 13063, 267, 12946, 538, 2247, 602, 21137, 568, 13576, 11895, 543, 4358, 1055, 3833, 3636, 267, 2356, 538, 5162, 21945, 693, 827, 476, 1015, 268, 1321, 290, 563, 17606, 729, 513, 2101, 4702, 1966, 1317, 519, 3002, 729, 1373, 5342, 2476, 676, 519, 4496, 13063, 543, 4672, 2679, 909, 543, 17527, 519, 2095, 269, 901, 1223, 5732, 723, 3361, 25380, 909, 540, 6634, 540, 17529, 540, 6151, 21137, 269, 589, 5100, 11653, 1500, 930, 1561, 14876, 5122, 28909, 547, 3514, 593, 519, 13063, 543, 649, 21534, 7372, 13545, 335, 4954, 1231, 547, 2322, 593, 519, 5087, 2427, 547, 2119, 543, 2759, 1524, 519, 2842, 28306, 269, 898, 5249, 513 ]

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

[ 0, 5228, 2979, 1104, 32494, 267, 5430, 267, 16009, 267, 5609, 454, 836, 815, 10581, 9272, 3488, 14707, 924, 19804, 2587, 25222, 29125, 11420, 334, 815, 5609, 263, 2784, 2103, 263, 836, 4917, 322, 1601, 815, 5430, 263, 2784, 2103, 263, 836, 4917, 339, 836, 815, 16009, 263, 2784, 2103, 263, 836, 4917, 2745, 3488, 302, 2587, 25222, 632, 15079, 23263, 1661, 522, 6845, 334, 632, 2715, 15545, 273, 325, 348, 262, 1547, 8971, 263, 836, 267, 6845, 334, 4917, 2745, 3488, 334, 2587, 25222, 632, 15079, 23263, 1661, 522, 524, 1601, 523, 334, 632, 2715, 15545, 273, 325, 348, 262, 1547, 8971, 263, 836, 267, 524, 1601, 4917, 2745, 3488, 302, 2587, 25222, 632, 15079, 23263, 1661, 513, 17242, 324, 632, 2715, 15545, 273, 325, 348, 262, 1547, 8971, 263, 836, 267, 8126, 4917, 0, 5228, 2979, 1104, 959, 15635, 454, 11133, 815, 10581, 9272, 3488, 14707, 924, 19804, 1003, 3266, 29125, 842, 324, 10098, 815, 959, 15635, 16325, 994, 2745, 3488, 288, 11188, 23843, 703, 324, 4275, 632, 15079, 20527, 15079, 262, 1547, 8971, 16325, 267, 703, 324, 10098, 11723, 0, 696, 815, 703, 9272, 3488, 14707, 924, 522, 623, 6020, 10933, 296, 4629, 570, 2207, 19616, 281, 1412, 4917, 337, 345, 815, 703, 9272, 3488, 14707, 924, 513, 17241, 313, 12728, 302, 281, 1412, 4917, 4135, 815, 28887, 1341, 630, 1015, 2608, 678, 345, 994, 2745, 3488, 11675, 476, 1015, 6305, 328, 4592, 2165, 657, 13005, 623, 6993, 635, 11788, 10098, 2165, 334, 15079, 552, 681, 1794, 14244, 15079, 521, 14244, 281, 29717, 8971, 263, 696, 267, 678, 345, 4917, 1721, 513, 538, 2039, 263, 696, 267, 678, 339, 267, 678, 345, 2187, 825, 1820, 3488, 24001, 8339, 8971, 5416, 1070, 1439, 8782, 1412, 264, 0, 25659, 822, 6652, 815, 1412, 777, 19810, 3299, 1412, 32491, 541, 3299, 1412, 1782, 340, 720, 332, 3299, 1412, 7090, 3299, 1412, 2017, 810, 3299, 315, 454, 262, 326, 7806, 529, 3299, 1412, 652, 644, 541, 3299, 1412, 1440, 1738, 541, 3299, 1412, 10177, 4472, 9618, 3299, 1412, 1067, 322, 5964, 3299, 315, 454, 262, 32491, 11456, 3299, 1412, 325, 583, 1755, 3299, 1412, 12711, 12711, 12711, 7055, 341, 7541, 529, 815, 1412, 7055, 341, 815, 1412, 320, 3299, 1412, 324, 3299, 1412, 328, 3299, 1412, 334, 3299, 1412, 340, 7055, 1721, 5493, 822, 571, 538, 5493, 822, 6652, 912, 825, 733, 815, 476, 271, 454, 825, 1990, 815, 1592, 9638, 531, 822, 571, 994, 825, 1247, 7003, 18750, 264, 3436, 733, 912, 1038, 952, 1990, 314, 4186, 316, 538, 642, 912, 2018, 642, 7541, 529, 6834, 1990, 314, 4186, 2639, 1038, 733, 6834, 476, 272, 454, 825, 1820, 6600, 262, 27845, 5493, 822, 571, 2715, 25659, 822, 571, 348, 1661, 657, 281, 2715, 341, 7541, 529, 348, 30386, 825, 642, 7541, 529, 815, 1412, 7055, 0, 333, 727, 815, 1193, 9272, 3488, 10387, 6446, 524, 573, 1228, 4938, 17845, 13439, 576, 340, 286, 1412, 26895, 29328, 4590, 2745, 3799, 727, 314, 271, 281, 276, 4940, 21639, 3890, 2652, 1412, 306, 3198, 15674, 17210, 692, 18257, 333, 727, 815, 1193, 9272, 3488, 304, 783, 562, 727, 13005, 647, 320, 524, 573, 1228, 286, 10807, 1040, 29328, 4590, 325, 333, 815, 1193, 3799, 727, 21858, 15405, 2745, 3488, 338, 27053, 262, 514, 535, 333, 31573, 28829, 18257, 692, 0, 2254, 320, 272, 815, 10581, 9272, 3488, 304, 783, 9087, 328, 647, 320, 6305, 4275, 711, 320, 286, 29125, 2254, 320, 273, 815, 10581, 9272, 3488, 304, 783, 9087, 328, 647, 320, 5302, 1495, 320, 711, 320, 286, 29125, 2254, 320, 274, 815, 10581, 9272, 3488, 304, 783, 9087, 328, 647, 320, 1768, 576, 4275, 711, 320, 286, 29125, 332, 4215, 815, 630, 2254, 320, 272, 1341, 711, 320, 273, 1341, 711, 320, 274, 264, 1315, 476, 274, 454, 604, 2923, 13843, 476, 278, 912, 825, 1820, 3488, 288, 647, 320, 544, 2946, 29953, 9087, 328, 2715, 15545, 273, 325, 348, 4938, 17845, 9087, 328, 589, 25075, 5964, 256, 8339, 8971, 9852, 4215, 4917, 19197, 2923, 2652, 476, 276, 912, 825, 1820, 3488, 288, 647, 320, 544, 2946, 29953, 9087, 328, 2715, 15545, 273, 325, 348, 4938, 17845, 1609, 320, 632, 5589, 10967, 320, 23843, 256, 8339, 8971, 9852, 4215, 4917, 19197, 2923, 2999, 476, 276, 912, 825, 1820, 3488, 288, 647, 320, 544, 2946, 29953, 9087, 328, 2715, 15545, 273, 325, 348, 4938, 17845, 1609, 320, 3115, 22201, 5964, 256, 8339, 8971, 9852, 4215, 4917, 0, 2745, 3488, 8782, 265, 736, 994, 2745, 3488, 21020, 17129, 3918, 772, 7246, 623, 8577, 29151, 5073, 2745, 3488, 8782, 265, 736, 994, 4186, 328, 815, 598, 1091, 815, 733, 325, 815, 733, 332, 815, 476, 271, 454, 6112, 6936, 912, 825, 7329, 1228, 815, 703, 9272, 3488, 14707, 924, 513, 9517, 32767, 281, 29125, 825, 952, 7329, 1228, 3436, 476, 1240, 912, 1038, 733, 328, 6834, 476, 272, 454, 825, 1247, 6936, 912, 1038, 3023, 334, 815, 1193, 9272, 2891, 14707, 924, 522, 10323, 311, 302, 281, 1496, 300, 6012, 293, 316, 834, 26895, 21639, 14061, 29328, 3890, 314, 271, 2639, 1038, 952, 3023, 334, 711, 538, 1412, 293, 267, 631, 12466, 2018, 1820, 6600, 262, 346, 16303, 334, 348, 29189, 334, 1045, 531, 18480, 256, 5073, 1038, 3116, 912, 2018, 952, 3023, 334, 538, 1412, 293, 262, 543, 7329, 1228, 2999, 476, 736, 912, 3546, 733, 325, 6834, 476, 272, 454, 2018, 8640, 3023, 334, 538, 1412, 300, 12466, 3546, 733, 332, 6834, 476, 272, 454, 1038, 2736, 454, 825, 1820, 3488, 8782, 265, 2190, 994, 825, 1007, 815, 1193, 9272, 3488, 5226, 518, 2585, 541, 286, 1496, 306, 6012, 301, 316, 10807, 1040, 21639, 14061, 29328, 3890, 314, 271, 2639, 825, 1820, 3488, 8782, 265, 2190, 994, 825, 952, 1007, 538, 1412, 301, 12466, 1038, 2736, 454, 2745, 3488, 8782, 265, 3451, 994, 2745, 3488, 293, 8379, 11298, 11550, 16165, 24717, 5073, 2745, 6600, 262, 300, 320, 1470, 637, 632, 7329, 1228, 281, 2715, 4186, 328, 348, 5073, 2745, 6600, 262, 295, 558, 839, 20017, 770, 2784, 657, 281, 2715, 4186, 332, 348, 5073, 2745, 6600, 262, 300, 592, 12742, 635, 2367, 657, 632, 476, 736, 606, 657, 281, 2715, 4186, 325, 348, 5073, 2745, 3488, 8782, 265, 3451, 264, 0, 5228, 30220, 1104, 4266, 454, 520, 783, 815, 4266, 6745, 3736, 14061, 20204, 454, 531, 815, 476, 271, 454, 2522, 815, 476, 271, 454, 1721, 14255, 538, 2039, 263, 272, 267, 476, 279, 2187, 825, 547, 323, 553, 815, 703, 9272, 3488, 304, 783, 513, 1239, 632, 562, 2444, 2939, 286, 1412, 4917, 825, 7329, 1228, 815, 693, 783, 910, 547, 323, 553, 454, 825, 952, 7329, 1228, 13843, 476, 2641, 912, 1038, 620, 6834, 476, 272, 454, 825, 3116, 912, 1038, 562, 531, 6834, 476, 272, 454, 2745, 3488, 24001, 623, 612, 334, 553, 795, 320, 620, 626, 541, 600, 8339, 8971, 263, 531, 4917, 2745, 3488, 24001, 623, 612, 334, 553, 562, 14244, 620, 626, 541, 600, 8339, 8971, 263, 2522, 4297, 0, 18851, 25363, 618, 513, 1599, 16571, 643, 569, 547, 1205, 519, 5551, 454, 293, 756, 20906, 5311, 1871, 563, 7312, 3009, 1058, 723, 519, 1482, 3403, 270, 16059, 607, 519, 454, 3438, 894, 3009, 538, 519, 5528, 27969, 692, 3698, 1205, 6958, 756, 263, 6570, 2187, 825, 5727, 23990, 912, 825, 476, 272, 269, 1403, 2990, 13292, 609, 3490, 2665, 263, 271, 543, 476, 272, 264, 1287, 454, 1038, 2132, 519, 2990, 269, 1775, 4318, 563, 1038, 476, 272, 269, 272, 1403, 2990, 2652, 476, 271, 454, 3546, 2132, 476, 271, 454, 1038, 476, 272, 269, 273, 1403, 2990, 2652, 476, 272, 454, 3546, 2132, 476, 272, 454, 825, 476, 273, 269, 22527, 2132, 1840, 540, 3105, 1079, 2418, 454, 825, 8173, 825, 952, 2990, 2652, 476, 271, 610, 2990, 2652, 476, 272, 912, 1038, 2132, 2990, 454, 825, 3116, 912, 1038, 2132, 1205, 6958, 756, 263, 6570, 910, 476, 272, 264, 1341, 1205, 6958, 756, 263, 6570, 910, 476, 273, 2020, 825, 2132, 910, 272, 692, 258, 4530, 2665, 454, 2745, 1205, 6958, 756, 263, 280, 994, 2745, 1205, 6958, 756, 263, 1556, 994, 2745, 1205, 6958, 756, 263, 271, 994, 0, 5814, 10070, 7531, 5035, 19219, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1239, 2187, 1038, 1582, 21606, 815, 1239, 454, 1038, 1582, 6983, 660, 815, 476, 271, 454, 1038, 1582, 269, 18876, 815, 15079, 7531, 5035, 570, 4471, 912, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 23584, 815, 19219, 263, 14085, 2020, 825, 1219, 7696, 4311, 267, 5569, 2187, 1038, 28364, 815, 1582, 23584, 454, 1038, 28364, 6983, 660, 6834, 476, 272, 692, 1038, 585, 524, 538, 5569, 912, 2018, 952, 524, 711, 538, 28364, 269, 18876, 912, 3546, 28364, 269, 18876, 314, 322, 316, 815, 19219, 6262, 994, 2018, 28364, 815, 28364, 269, 18876, 314, 322, 2639, 2018, 28364, 6983, 660, 6834, 476, 272, 692, 825, 1219, 1293, 4311, 267, 18772, 2187, 1038, 28364, 815, 1582, 23584, 692, 1038, 585, 524, 538, 18772, 912, 2018, 952, 524, 711, 538, 28364, 269, 18876, 912, 3546, 2132, 476, 271, 454, 2018, 28364, 815, 28364, 269, 18876, 314, 322, 6540, 1038, 2132, 28364, 6983, 660, 7531, 339, 815, 703, 9272, 31156, 1721, 9041, 538, 2039, 6025, 2187, 825, 562, 815, 703, 9272, 15405, 825, 512, 1564, 815, 11713, 825, 585, 9041, 538, 2039, 3799, 2187, 1038, 512, 1564, 6910, 9272, 15405, 825, 13290, 815, 570, 4471, 10797, 825, 585, 22007, 538, 512, 1564, 912, 1038, 13290, 27044, 6025, 601, 994, 825, 568, 8256, 527, 1890, 815, 834, 312, 2464, 4840, 825, 585, 22007, 538, 512, 1564, 912, 1038, 952, 13290, 29644, 6025, 601, 264, 3436, 476, 272, 912, 2018, 568, 8256, 527, 1890, 815, 834, 17472, 4840, 2018, 2736, 454, 825, 1820, 263, 529, 8256, 527, 1890, 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 ]

[ 6912, 476, 273, 2410, 273, 348, 282, 535, 18257, 263, 343, 6661, 10559, 6523, 1535, 315, 574, 18680, 535, 18257, 7268, 13320, 3189, 7032, 2410, 275, 348, 6661, 10559, 13320, 3189, 6912, 476, 273, 2410, 273, 4151, 4935, 267, 1269, 335, 3709, 271, 12917, 343, 21174, 13320, 3189, 6912, 476, 273, 2410, 273, 348, 8607, 533, 3709, 272, 12917, 343, 21174, 13320, 3189, 6912, 476, 273, 2410, 273, 23180, 13320, 3189, 6912, 476, 273, 2410, 273, 12917, 343, 10559, 13320, 3189, 7032, 2410, 275, 16585, 8607, 335, 3709, 273, 12917, 343, 21174, 13320, 3189, 6912, 476, 273, 2410, 273, 23180, 13320, 3189, 6912, 476, 273, 2410, 273, 12917, 343, 10559, 13320, 3189, 7032, 2410, 275, 348, 9984, 315, 13320, 3189, 6912, 476, 273, 2410, 275, 12917, 343, 10559, 13320, 3189, 7032, 2410, 275, 348, 8203, 273, 8607, 335, 3709, 274, 12917, 343, 21174, 13320, 3189, 6912, 476, 273, 2410, 273, 23180, 13320, 3189, 6912, 476, 273, 2410, 273, 12917, 343, 10559, 13320, 3189, 7032, 2410, 275, 348, 9984, 315, 13320, 3189, 6912, 476, 273, 2410, 275, 12917, 343, 10559, 13320, 3189, 7032, 2410, 275, 348, 8203, 273, 266, 8987, 315, 13320, 3189, 6912, 476, 273, 2410, 273, 16585, 7268, 13320, 346, 272, 2410, 277, 348, 7565, 343, 10559, 13320, 3189, 7032, 2410, 275, 348, 8203, 274, 7807, 13320, 3189, 6912, 476, 273, 2410, 273, 23180, 13320, 3189, 6912, 476, 273, 2410, 273, 12917, 343, 10559, 13320, 3189, 7032, 2410, 275, 348, 9984, 315, 13320, 3189, 6912, 476, 273, 2410, 275, 12917, 343, 10559, 13320, 3189, 7032, 2410, 275, 348, 8203, 273, 10559, 13320, 3189, 6912, 476, 273, 2410, 1321, 12917, 343, 10559, 13320, 3189, 7032, 2410, 275, 348, 8203, 274, 259 ]

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

[ 11833, 11545, 16721, 692, 14188, 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, 18128, 757, 1299, 8871, 19600, 692, 18128, 757, 1299, 8871, 19600, 538, 4873, 454, 15411, 26346, 25038, 692, 306, 568, 513, 1305, 540, 2067, 2338, 689, 476, 272, 547, 476, 1911, 4171, 10545, 692, 12041, 24606, 454, 307, 8980, 306, 912, 10048, 4526, 454, 16274, 281, 476, 2420, 4924, 476, 1220, 278, 454, 15803, 281, 476, 13679, 454, 27063, 281, 476, 273, 692, 20132, 19560, 476, 280, 1496, 271, 3910, 2016, 281, 476, 271, 692, 306, 568, 513, 1305, 540, 2067, 2338, 689, 476, 272, 547, 476, 1911, 4171, 10545, 1109, 28784, 21529, 316, 476, 1109, 736, 3057, 476, 1220, 278, 267, 476, 2641, 281, 4029, 454, 876, 281, 876, 692, 11795, 22187, 1384, 18217, 12458, 2020, 9223, 853, 1846, 1384, 271, 260, 630, 876, 281, 876, 264, 2953, 476, 271, 260, 630, 876, 281, 876, 264, 4636, 1759, 593, 476, 271, 7886, 454, 306, 568, 513, 1305, 540, 2067, 2338, 689, 476, 272, 547, 476, 1911, 4171, 10545, 6305, 3815, 568, 476, 276, 269, 1548, 568, 519, 5021, 1297, 540, 2609, 540, 519, 1305, 590, 2496, 10490, 264, 476, 278, 454, 16360, 264, 476, 280, 454, 18154, 264, 476, 1789, 454, 20573, 264, 476, 3953, 454, 27887, 264, 7183, 540, 891, 454, 25938, 1640, 15440, 454, 16274, 281, 476, 1556, 4924, 476, 1220, 278, 454, 15803, 281, 476, 3374, 280, 454, 27063, 281, 476, 272, 692, 20132, 19560, 476, 4375, 1496, 271, 3910, 2016, 281, 476, 271, 692, 276, 568, 835, 540, 519, 2188, 269, 1924, 621, 781, 513, 2789, 540, 476, 276, 780, 3383, 519, 2338, 1131, 581, 476, 276, 267, 476, 1015, 267, 476, 1428, 267, 476, 736, 267, 3267, 31756, 692, 7712, 476, 273, 568, 849, 6305, 602, 568, 4130, 982, 476, 276, 267, 23868, 782, 1256, 1297, 689, 519, 1592, 540, 2338, 630, 1015, 267, 476, 736, 267, 476, 1789, 267, 3092, 2020, 7712, 476, 274, 568, 849, 6305, 602, 568, 4130, 982, 476, 276, 267, 23868, 782, 1346, 602, 616, 23385, 540, 476, 274, 630, 1428, 267, 476, 3393, 267, 476, 4037, 267, 3092, 24355, 2791, 2811, 2451, 609, 476, 278, 2338, 630, 276, 267, 476, 1839, 267, 476, 3374, 267, 476, 4649, 267, 476, 4792, 267, 476, 5952, 267, 476, 4817, 6393, 10048, 4526, 454, 16274, 281, 476, 1321, 4924, 476, 1220, 278, 454, 15803, 281, 476, 15757, 454, 27063, 281, 476, 272, 692, 20132, 19560, 476, 272, 1496, 271, 3910, 2016, 281, 476, 271, 692, 3674, 972, 513, 1434, 1433, 267, 610, 513, 5458, 1305, 540, 10230, 1297, 3959, 2055, 888, 10048, 4526, 454, 16274, 281, 476, 2764, 4924, 476, 1220, 278, 454, 15803, 281, 476, 2735, 454, 19613, 281, 4993, 454, 27063, 281, 476, 273, 692, 20132, 19560, 476, 277, 1496, 271, 3910, 2016, 281, 476, 271, 692, 3725, 281, 13662, 910, 1297, 3601, 1109, 28784, 21529, 316, 476, 1109, 2641, 3057, 476, 1220, 278, 267, 476, 1015, 281, 1556, 454, 294, 7246, 1320, 2100, 995, 5206, 912, 306, 568, 513, 1305, 540, 2067, 2338, 689, 476, 272, 547, 476, 1911, 4171, 10545, 6305, 3815, 568, 476, 276, 269, 1548, 568, 519, 5021, 1297, 540, 2609, 540, 519, 1305, 590, 2496, 10490, 264, 476, 278, 454, 16360, 264, 476, 280, 454, 18154, 264, 476, 1789, 454, 20573, 264, 476, 3953, 454, 27887, 264, 7183, 540, 891, 692, 288, 454, 2467, 616, 476, 736, 2338, 630, 2056, 538, 476, 276, 543, 476, 271, 264, 945, 723, 513, 6305, 3815, 540, 476, 276, 269, 4934, 540, 891, 782, 2338, 10678, 538, 476, 271, 723, 476, 273, 607, 519, 10545, 6305, 3815, 865, 649, 1167, 731, 873, 269, 7324, 6967, 1152, 476, 276, 267, 476, 1839, 267, 476, 3374, 267, 476, 4649, 267, 476, 4792, 267, 476, 5952, 267, 476, 4817, 723, 476, 276, 607, 10545, 6305, 3815, 454, 25938, 1640, 15440, 454, 16274, 281, 476, 3066, 3967, 476, 1220, 278, 454, 15803, 281, 476, 14596, 454, 19613, 281, 3047, 454, 27063, 281, 476, 273, 692, 20132, 19560, 476, 2412, 1496, 271, 3910, 2016, 281, 476, 271, 692, 604, 596, 7747, 782, 519, 2009, 2338, 616, 1587, 540, 476, 276, 543, 6305, 2338, 602, 616, 3160, 547, 610, 3152, 982, 476, 276, 780, 2005, 814, 547, 581, 602, 1259, 585, 476, 273, 543, 476, 274, 547, 711, 4137, 856, 607, 835, 540, 519, 2188, 563, 13436, 3584, 1234, 18680, 7831, 2022, 454, 13436, 454, 12749, 923, 912, 1103, 513, 1305, 540, 2338, 689, 476, 1015, 547, 476, 1911, 476, 275, 476, 4962, 8734, 476, 1001, 274, 267, 476, 6734, 281, 1704, 454, 272, 769, 513, 1305, 540, 2338, 689, 476, 1911, 547, 476, 1911, 271, 8537, 267, 875, 1082, 476, 272, 476, 2767, 3967, 476, 1220, 279, 267, 476, 2420, 281, 2641, 454, 1103, 513, 1305, 540, 2338, 689, 476, 1911, 547, 476, 1911, 271, 8537, 267, 875, 1082, 476, 278, 476, 1691, 8734, 476, 1220, 278, 267, 476, 1704, 281, 7906, 454, 2252, 519, 10545, 1297, 538, 513, 1305, 540, 2318, 9981, 568, 476, 274, 267, 476, 279, 476, 2767, 4239, 476, 1220, 277, 267, 476, 6021, 281, 3953, 454, 13828, 519, 9832, 540, 476, 273, 8638, 616, 689, 476, 272, 547, 476, 1911, 267, 4171, 476, 274, 476, 1240, 4119, 476, 1220, 277, 267, 476, 6349, 281, 6187, 454, 11514, 2452, 9708, 689, 3105, 281, 23037, 676, 0, 258, 1403, 589, 2433, 645, 815, 476, 274, 2433, 476, 275, 267, 645, 2433, 595, 815, 476, 276, 2433, 476, 278, 543, 595, 2433, 667, 815, 476, 279, 2433, 476, 280, 1287, 589, 2433, 667, 568, 3160, 547, 1384, 2252, 589, 2433, 645, 815, 476, 274, 2433, 476, 275, 267, 645, 2433, 595, 815, 476, 276, 2433, 476, 278, 543, 595, 2433, 667, 815, 476, 279, 2433, 476, 280, 1287, 589, 2433, 667, 568, 3160, 547, 454, 314, 288, 316, 1015, 2433, 476, 2641, 454, 314, 289, 316, 2641, 2433, 476, 1015, 454, 314, 290, 316, 274, 2433, 476, 278, 454, 314, 291, 316, 278, 2433, 476, 274, 692, 1015, 2433, 476, 2641, 454, 259, 288, 2433, 667, 815, 1422, 2765, 31505, 2410, 291, 348, 815, 1422, 2765, 31505, 2410, 289, 4153, 9392, 1422, 2765, 346, 289, 2410, 290, 4153, 9392, 1422, 2765, 346, 290, 2410, 291, 21456, 259, 284, 1422, 2765, 346, 274, 2410, 275, 4153, 9392, 1422, 2765, 346, 276, 2410, 278, 4153, 9392, 1422, 2765, 346, 279, 2410, 280, 21456, 259, 27784, 1422, 2765, 346, 1015, 2410, 2641, 348, 815, 476, 1015, 2433, 476, 2641, 14204, 17798, 4781, 1496, 288, 316, 568, 519, 1318, 2626, 269, 0, 258, 1215, 666, 594, 6460, 606, 1843, 689, 835, 15304, 547, 1079, 15304, 5133, 2496, 10112, 2541, 594, 723, 513, 835, 15304, 5133, 5373, 540, 513, 4055, 267, 543, 594, 4312, 6537, 513, 14328, 4216, 1055, 547, 519, 2427, 267, 593, 519, 2666, 910, 519, 4395, 7077, 568, 6849, 519, 21951, 630, 718, 7285, 593, 713, 7077, 616, 476, 3445, 4113, 1070, 543, 519, 824, 7298, 5011, 630, 2431, 2427, 267, 543, 1283, 264, 616, 2587, 1194, 1394, 1759, 593, 741, 6935, 547, 519, 642, 4314, 532, 1448, 269, 1924, 621, 781, 513, 14328, 4055, 267, 519, 21951, 568, 7555, 538, 519, 1647, 6849, 519, 1394, 3774, 267, 543, 972, 781, 513, 4216, 2059, 519, 2451, 3774, 780, 3086, 8263, 602, 594, 1616, 547, 4734, 602, 4216, 1141, 621, 568, 267, 855, 17967, 621, 476, 1789, 4113, 610, 476, 3393, 4113, 269, 898, 1631, 7575, 883, 1079, 15304, 5133, 780, 1432, 594, 6415, 11842, 568, 267, 875, 798, 594, 3442, 519, 1079, 2798, 585, 602, 5133, 952, 594, 1616, 547, 2824, 513, 1808, 5086, 540, 10047, 630, 328, 4318, 269, 594, 1616, 547, 17967, 519, 4216, 4010, 476, 1789, 4113, 689, 519, 21951, 267, 3079, 540, 11617, 834, 12317, 267, 2673, 2614, 8442, 286, 594, 6415, 14322, 789, 1131, 581, 593, 519, 1482, 16880, 1899, 607, 519, 642, 4314, 532, 1448, 585, 519, 835, 15304, 5133, 780, 296, 1174, 519, 9238, 540, 5373, 538, 476, 273, 1448, 5133, 267, 855, 1175, 16116, 4351, 7285, 538, 519, 2796, 540, 606, 4540, 476, 272, 653, 4055, 2306, 519, 1843, 1745, 899, 621, 781, 834, 4148, 334, 908, 257, 910, 7132, 621, 3085, 1405, 2731, 2285, 1022, 2186, 540, 1852, 936, 3169, 7285, 780, 5575, 267, 713, 835, 781, 711, 2731, 513, 2656, 543, 2653, 2626, 267, 2523, 952, 596, 4312, 711, 519, 4143, 1374, 543, 1951, 7676, 1154, 4282, 910, 594, 1589, 596, 9364, 4324, 689, 2542, 14731, 667, 269, 918, 269, 932, 532, 781, 1433, 834, 19425, 3538, 1116, 29093, 257, 630, 2419, 532, 781, 11629, 1116, 29093, 593, 8835, 264, 799, 568, 849, 2139, 607, 606, 552, 26247, 1312, 593, 8835, 543, 11197, 2835, 780, 1432, 649, 798, 538, 519, 11265, 14745, 2361, 568, 17967, 938, 6221, 519, 9138, 2179, 538, 938, 1544, 2070, 17250, 267, 2721, 856, 519, 3515, 8220, 519, 8728, 2509, 938, 13749, 8672, 630, 10849, 13996, 264, 543, 4063, 1141, 789, 1780, 998, 519, 4605, 7077, 269, 4495, 596, 4312, 2944, 602, 585, 519, 9136, 693, 1142, 1439, 540, 835, 540, 707, 2666, 7077, 8880, 4780, 3101, 3515, 593, 519, 4216, 2427, 799, 596, 2811, 14291, 547, 513, 476, 273, 15304, 267, 596, 666, 1305, 707, 966, 303, 1759, 593, 14178, 602, 547, 707, 16880, 1467, 780, 2080, 616, 930, 4143, 2592, 689, 14731, 932, 532, 781, 1433, 5018, 1657, 910, 621, 781, 2731, 4502, 707, 1247, 547, 6718, 713, 1433, 780, 296, 849, 1419, 4363, 7812, 661, 269, 667, 1195, 548, 781, 834, 21760, 14301, 257, 607, 1776, 4199, 593, 4070, 540, 2596, 5380, 910, 621, 814, 930, 8748, 2489, 4480, 4901, 607, 1134, 607, 811, 4359, 5888, 531, 543, 7990, 5373, 2035, 780, 28775, 713, 2337, 780, 1892, 25999, 9735, 267, 9684, 596, 256, 1656, 594, 3513, 9090, 581, 3168, 883, 1312, 540, 1346, 2835, 910, 596, 2811, 1318, 267, 594, 1810, 1405, 723, 519, 4143, 4282, 267, 855, 594, 6415, 2141, 5461, 538, 1565, 1007, 1919, 256, 4455, 476, 1321, 267, 476, 1001, 280, 693, 476, 1240, 281, 6321, 692, 2791, 666, 1118, 23651, 5133, 4070, 269, 6423, 606, 1383, 1384, 2791, 723, 713, 835, 1448, 5133, 3239, 1384, 2467, 781, 10538, 18109, 267, 3039, 6989, 267, 15454, 1394, 3774, 543, 4544, 2427, 6821, 269, 634, 642, 4314, 532, 1448, 1341, 519, 16880, 1899, 616, 538, 519, 1647, 780, 2791, 4280, 875, 547, 1265, 1007, 642, 4314, 532, 2798, 585, 513, 1007, 5133, 3239, 952, 519, 2070, 568, 4957, 547, 991, 476, 273, 1448, 5133, 26759, 269, 519, 8254, 568, 6410, 3544, 519, 4055, 267, 855, 621, 1869, 814, 519, 1482, 15038, 26759, 269, 513, 3368, 540, 519, 4055, 4463, 543, 621, 2798, 1869, 547, 519, 1482, 16880, 780, 1607, 3884, 1405, 1151, 15344, 952, 596, 798, 711, 917, 875, 2620, 6712, 540, 519, 4055, 568, 538, 519, 3239, 26759, 269, 875, 1279, 568, 519, 7298, 9378, 540, 519, 6989, 543, 513, 3774, 538, 1482, 4559, 607, 519, 8700, 540, 519, 1394, 3774, 269, 2060, 713, 1702, 596, 666, 1265, 519, 3845, 1063, 519, 6728, 1448, 543, 519, 1394, 3774, 538, 519, 1482, 4559, 269, 1323, 4244, 2877, 1702, 568, 875, 2647, 5823, 5086, 568, 4904, 676, 519, 1394, 3774, 950, 621, 781, 4767, 689, 519, 6728, 1448, 269, 2060, 621, 596, 666, 849, 1747, 519, 6728, 1448, 538, 4395, 540, 519, 9196, 7077, 780, 4131, 781, 8263, 649, 917, 875, 1279, 538, 3448, 547, 519, 8700, 540, 519, 1394, 3774, 519, 7298, 9378, 1063, 519, 6989, 543, 513, 3774, 568, 7868, 1747, 540, 519, 9196, 7077, 568, 818, 321, 3202, 269, 898, 781, 3730, 547, 1747, 621, 795, 739, 693, 519, 1482, 3845, 1141, 519, 7298, 2127, 540, 519, 6821, 267, 6989, 543, 18109, 1439, 269, 1284, 798, 711, 991, 865, 1082, 8289, 3515, 1384, 14937, 4874, 1467, 13235, 291, 568, 519, 1283, 2070, 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 ]

[ 281, 512, 332, 14729, 1485, 630, 272, 424, 505, 498, 476, 272, 14602, 376, 423, 370, 478, 425, 482, 364, 29030, 502, 482, 28990, 361, 422, 373, 490, 424, 356, 478, 14091, 480, 510, 424, 356, 506, 424, 486, 502, 994, 258, 10563, 507, 372, 423, 491, 365, 424, 488, 353, 279, 281, 512, 332, 318, 529, 323, 560, 630, 424, 482, 361, 423, 357, 372, 425, 481, 478, 28990, 482, 10563, 510, 479, 424, 504, 358, 10563, 501, 361, 423, 370, 478, 2020, 258, 476, 272, 269, 942, 14091, 359, 357, 423, 497, 486, 29306, 494, 424, 482, 506, 2199, 5503, 3890, 476, 17432, 357, 424, 486, 502, 423, 354, 376, 10563, 508, 482, 425, 493, 361, 425, 488, 372, 17432, 502, 424, 482, 372, 424, 504, 498, 563, 5228, 942, 476, 1104, 2199, 5503, 454, 258, 476, 273, 269, 2199, 5503, 3890, 14602, 482, 10563, 507, 368, 424, 504, 358, 17432, 368, 942, 14714, 1192, 22710, 29030, 502, 499, 424, 489, 507, 14602, 502, 29030, 502, 482, 28990, 361, 424, 489, 506, 32174, 482, 14602, 482, 3593, 22710, 29306, 494, 10563, 510, 478, 28990, 354, 17432, 502, 424, 482, 372, 424, 504, 498, 563, 12528, 22710, 815, 2199, 5503, 4590, 258, 476, 274, 269, 3593, 22710, 14602, 502, 10563, 507, 372, 423, 491, 365, 424, 488, 353, 274, 21844, 364, 496, 14602, 482, 5662, 29306, 494, 10563, 510, 478, 28990, 354, 17432, 502, 424, 482, 372, 424, 504, 498, 563, 327, 712, 815, 3593, 22710, 314, 274, 2639, 258, 476, 275, 269, 3593, 22710, 14602, 502, 10563, 507, 372, 423, 491, 365, 424, 488, 353, 275, 21844, 364, 496, 14602, 482, 8792, 29306, 494, 10563, 510, 478, 28990, 354, 17432, 502, 424, 482, 372, 424, 504, 498, 563, 2381, 1393, 815, 3593, 22710, 314, 275, 2639, 258, 476, 276, 269, 3593, 22710, 14602, 502, 10563, 507, 372, 423, 491, 365, 424, 488, 353, 276, 21844, 364, 496, 14602, 482, 3813, 29306, 494, 10563, 510, 478, 28990, 354, 17432, 502, 424, 482, 372, 424, 504, 498, 563, 5913, 815, 3593, 22710, 314, 276, 2639, 258, 10563, 499, 482, 423, 508, 502, 32629, 498, 10563, 370, 506, 423, 510, 354, 14602, 482, 10563, 506, 482, 17432, 506, 10563, 377, 498, 423, 497, 506, 28990, 483, 21498, 486, 30319, 269, 10563, 486, 502, 32510, 499, 17432, 502, 424, 356, 478, 14091, 356, 486, 424, 482, 372, 424, 504, 498, 10756, 2745, 3488, 27338, 10563, 377, 498, 423, 497, 506, 32629, 498, 2999, 260, 323, 424, 489, 506, 4939, 323, 423, 370, 482, 4939, 323, 424, 368, 486, 285, 29306, 494, 10563, 489, 353, 425, 500, 487, 423, 494, 502, 29306, 486, 424, 488, 369, 21498, 486, 30319, 630, 7473, 290, 266, 6021, 281, 876, 1040, 262, 4939, 263, 327, 712, 266, 280, 267, 8792, 267, 3813, 11723, 2745, 3488, 1366, 29030, 498, 482, 423, 350, 506, 422, 371, 372, 423, 508, 357, 10563, 489, 353, 425, 500, 487, 424, 489, 506, 32174, 482, 21844, 367, 482, 424, 480, 364, 17432, 502, 422, 372, 364, 825, 28612, 268, 30386, 1012, 30220, 21844, 364, 507, 424, 366, 368, 14602, 502, 1631, 3890, 476, 17432, 357, 424, 486, 502, 32629, 498, 29030, 502, 482, 28990, 361, 10563, 489, 506, 32174, 482, 14602, 502, 476, 272, 270, 1015, 267, 1822, 267, 1822, 10563, 368, 486, 21498, 357, 424, 506, 482, 422, 373, 490, 424, 356, 478, 10563, 366, 502, 423, 355, 361, 454, 258, 476, 272, 269, 30220, 14091, 359, 357, 423, 497, 486, 29306, 494, 424, 482, 506, 30220, 21844, 364, 507, 424, 366, 368, 423, 354, 376, 10563, 508, 482, 425, 493, 361, 425, 488, 372, 17432, 502, 424, 482, 372, 424, 504, 498, 563, 5228, 30220, 1104, 30220, 454, 258, 476, 273, 269, 29030, 502, 482, 28990, 361, 10563, 489, 506, 32174, 482, 14602, 482, 10563, 372, 350, 32510, 499, 17432, 502, 29306, 361, 1376, 29306, 494, 10563, 510, 478, 28990, 354, 17432, 502, 424, 482, 372, 424, 504, 498, 563, 11034, 815, 30220, 269, 852, 4590, 258, 10563, 499, 482, 423, 508, 502, 32629, 498, 10563, 489, 353, 424, 488, 369, 29306, 494, 10563, 480, 361, 424, 504, 358, 423, 494, 502, 32629, 498, 10563, 377, 498, 423, 497, 506, 28990, 483, 21498, 486, 30319, 269, 10563, 486, 502, 32510, 499, 17432, 502, 424, 356, 478, 14091, 356, 486, 424, 482, 372, 424, 504, 498, 563, 4958, 815, 476, 271, 454, 1721, 1775, 538, 2039, 263, 1911, 1822, 2187, 825, 1427, 6834, 1775, 454, 258, 476, 274, 269, 29030, 502, 482, 28990, 361, 10563, 489, 506, 32174, 482, 14602, 482, 14091, 489, 353, 424, 489, 506, 10563, 372, 350, 32510, 499, 17432, 502, 29306, 361, 1439, 29306, 494, 10563, 510, 478, 28990, 354, 17432, 502, 424, 482, 372, 424, 504, 498, 563, 754, 815, 30220, 269, 852, 4590, 258, 476, 275, 269, 1376, 424, 503, 478, 1439, 29306, 494, 10563, 510, 478, 28990, 354, 423, 494, 506, 14091, 495, 494, 10563, 489, 506, 32174, 482, 14602, 502, 10563, 364, 357, 27338, 423, 354, 376, 21844, 367, 482, 424, 480, 364, 17432, 502, 422, 367, 510, 1714, 17863, 29306, 494, 10563, 510, 478, 28990, 354, 17432, 502, 424, 482, 372, 424, 504, 498, 563, 601, 17863, 815, 1439, 910, 1376, 454, 258, 10563, 499, 482, 423, 508, 502, 32629, 498, 10563, 370, 506, 423, 510, 354, 14602, 482, 10563, 506, 482, 17432, 506, 10563, 377, 498, 423, 497, 506, 28990, 483, 21498, 486, 30319, 269, 10563, 486, 502, 32510, 499, 17432, 502, 424, 356, 478, 14091, 356, 486, 424, 482, 372, 424, 504, 498, 563, 2745, 3488, 272, 29306, 494, 424, 482, 506, 476, 1911, 1822, 422, 373, 490, 424, 356, 478, 14091, 491, 498, 17432, 506, 21844, 366, 364, 422, 367, 376, 281, 4939, 323, 262, 4939, 4958, 994, 2745, 3488, 424, 368, 507, 21844, 367, 482, 424, 480, 364, 10563, 489, 506, 32174, 482, 281, 3299, 1714, 17863, 2020, 2745, 3488, 1366, 10563, 352, 376, 424, 500, 368, 424, 356, 482, 10563, 486, 360, 28990, 494, 423, 354, 376, 10563, 366, 506, 21498, 357, 424, 506, 482, 423, 350, 506, 21844, 369, 361, 423, 370, 482, 17432, 502, 422, 372, 364, 672, 28612, 268, 30386, 258, 6358, 3890, 910, 10563, 480, 361, 424, 504, 358, 28990, 494, 10563, 508, 483, 423, 510, 354, 423, 364, 505, 422, 372, 364, 454, 258, 604, 349, 12828, 910, 952, 423, 361, 372, 21844, 364, 506, 423, 483, 494, 14091, 364, 364, 424, 504, 364, 422, 372, 364, 454, 258, 529, 323, 13424, 3890, 910, 14091, 361, 372, 28990, 494, 29306, 368, 27338, 10563, 486, 360, 28990, 494, 14602, 372, 424, 356, 478, 21844, 366, 478, 424, 480, 361, 17432, 502, 422, 372, 364, 454, 258, 11468, 18737, 272, 316, 910, 14091, 355, 361, 424, 488, 353, 425, 488, 372, 10563, 504, 498, 424, 484, 490, 10563, 486, 506, 424, 482, 506, 423, 354, 376, 10563, 501, 511, 424, 486, 506, 424, 506, 376, 423, 350, 506, 14091, 356, 490, 423, 497, 353, 422, 372, 364, 454, 258, 1721, 910, 585, 423, 361, 372, 21844, 364, 506, 423, 483, 494, 14091, 364, 364, 424, 504, 364, 422, 372, 364, 454, 258, 523, 636, 4733, 3890, 910, 14091, 355, 361, 424, 488, 353, 425, 488, 372, 14602, 502, 14091, 359, 357, 423, 497, 510, 10563, 504, 498, 424, 484, 490, 423, 354, 376, 10563, 507, 372, 423, 491, 365, 424, 488, 353, 424, 503, 478, 10563, 490, 491, 424, 506, 376, 423, 350, 506, 10563, 370, 498, 424, 370, 506, 17432, 502, 422, 372, 364, 454, 258, 6352, 3890, 910, 10563, 489, 506, 425, 478, 478, 424, 488, 353, 10563, 508, 494, 423, 352, 490, 29030, 479, 361, 422, 372, 364, 10563, 507, 368, 17432, 368, 17432, 502, 422, 372, 364, 692, 258, 10563, 480, 361, 424, 504, 358, 28990, 494, 423, 350, 506, 423, 370, 478, 425, 482, 364, 10563, 486, 360, 28990, 494, 423, 354, 376, 10563, 508, 483, 423, 510, 354, 423, 364, 505, 424, 499, 482, 14091, 367, 478, 424, 486, 502, 1003, 29306, 494, 10563, 510, 478, 28990, 354, 17432, 358, 21498, 486, 30319, 563, 11133, 815, 3403, 3488, 424, 499, 482, 423, 361, 368, 10563, 486, 360, 28990, 494, 423, 354, 376, 10563, 508, 483, 423, 510, 354, 17432, 502, 424, 482, 372, 424, 504, 498, 281, 30386, 258, 10563, 480, 361, 424, 504, 358, 28990, 494, 32174, 478, 10563, 508, 483, 423, 510, 354, 17432, 506, 14091, 361, 372, 28990, 494, 29306, 368, 27338, 10563, 486, 360, 28990, 494, 423, 350, 506, 423, 356, 490, 21844, 369, 361, 424, 482, 365, 423, 494, 502, 424, 500, 368, 10563, 508, 486, 32629, 498, 424, 356, 478, 29030, 503, 499, 14602, 372, 17432, 358, 21498, 486, 30319, 563, 604, 1003, 18994, 323, 13424, 10031, 825, 1948, 10563, 486, 360, 28990, 494, 423, 350, 506, 423, 356, 490, 21844, 369, 361, 424, 482, 365, 423, 494, 506, 14091, 361, 372, 28990, 494, 29306, 368, 27338, 423, 358, 368, 10563, 480, 361, 424, 504, 358, 28990, 494, 32174, 478, 10563, 508, 483, 423, 510, 354, 17432, 506, 10563, 486, 360, 28990, 494, 423, 354, 376, 21844, 365, 364, 422, 378, 372, 423, 350, 506, 14091, 364, 364, 29306, 368, 17432, 502, 29306, 361, 14091, 367, 478, 424, 486, 502, 1003, 29306, 494, 10563, 508, 361, 424, 356, 478, 32510, 499, 476, 17432, 358, 21498, 486, 30319, 563, 825, 1003, 815, 1003, 11468, 18737, 272, 2639, 825, 1948, 21844, 366, 364, 422, 367, 376, 423, 354, 376, 14091, 489, 368, 14602, 482, 14091, 367, 478, 424, 486, 502, 1427, 14602, 482, 10563, 482, 510, 424, 500, 372, 17432, 358, 21498, 486, 30319, 563, 825, 1427, 815, 1412, 7055, 825, 1948, 1003, 29306, 494, 424, 482, 506, 10563, 507, 372, 423, 491, 365, 424, 488, 353, 424, 503, 478, 10563, 504, 498, 424, 484, 490, 423, 354, 376, 476, 17432, 502, 423, 480, 502, 424, 498, 358, 10563, 370, 498, 424, 370, 506, 17432, 358, 21498, 486, 30319, 563, 825, 585, 1775, 267, 524, 538, 26246, 16325, 2187, 1038, 1948, 10563, 507, 372, 423, 491, 365, 424, 488, 353, 328, 29306, 494, 476, 272, 14602, 482, 14091, 491, 498, 17432, 502, 29306, 361, 10563, 370, 498, 424, 370, 506, 17432, 506, 10563, 486, 360, 28990, 494, 14602, 502, 10563, 506, 482, 424, 373, 502, 29306, 494, 14091, 490, 478, 14602, 495, 17432, 358, 21498, 486, 30319, 563, 1038, 1775, 6834, 476, 272, 454, 1038, 1948, 10563, 504, 498, 424, 484, 490, 14602, 502, 10563, 506, 482, 424, 373, 502, 32174, 478, 1003, 14602, 502, 14091, 356, 486, 424, 356, 478, 423, 356, 487, 27338, 10563, 499, 482, 21498, 486, 422, 367, 510, 476, 274, 14602, 502, 14091, 364, 364, 424, 486, 502, 27338, 423, 358, 368, 10563, 370, 498, 424, 370, 506, 17432, 506, 10563, 504, 498, 424, 484, 490, 14091, 496, 353, 29306, 494, 10563, 487, 376, 425, 495, 506, 423, 354, 376, 14091, 491, 498, 17432, 506, 21844, 364, 496, 14602, 482, 1427, 29306, 494, 10563, 370, 498, 32174, 478, 17432, 358, 21498, 486, 30319, 563, 1038, 952, 1775, 11203, 7003, 16325, 264, 543, 1775, 260, 274, 2652, 476, 271, 912, 2018, 1427, 6834, 630, 322, 1341, 22207, 5073, 1038, 1948, 10563, 370, 498, 424, 370, 506, 17432, 506, 10563, 504, 498, 424, 484, 490, 32174, 478, 14091, 356, 486, 424, 356, 478, 423, 356, 487, 29306, 494, 10563, 506, 482, 424, 373, 502, 17432, 502, 422, 365, 364, 423, 480, 502, 476, 274, 14602, 502, 14091, 364, 364, 424, 486, 502, 32174, 478, 10563, 499, 482, 21498, 486, 423, 358, 368, 10563, 370, 498, 424, 370, 506, 17432, 506, 10563, 504, 498, 424, 484, 490, 423, 354, 376, 1427, 29306, 494, 10563, 370, 498, 32174, 478, 17432, 358, 21498, 486, 30319, 269, 3097, 1038, 3116, 912, 2018, 1427, 6834, 524, 454, 825, 1948, 1427, 14602, 482, 21844, 365, 364, 422, 378, 372, 423, 350, 506, 14091, 364, 364, 29306, 368, 17432, 358, 21498, 486, 30319, 563, 825, 1427, 815, 1427, 11468, 18737, 272, 2639, 825, 1820, 263, 4958, 994, 258, 10563, 480, 361, 424, 504, 358, 28990, 494, 32174, 478, 10563, 508, 483, 423, 510, 354, 17432, 506, 14091, 361, 372, 28990, 494, 29306, 368, 27338, 10563, 486, 360, 28990, 494, 423, 350, 506, 423, 356, 490, 10563, 507, 368, 423, 352, 357, 424, 500, 368, 32510, 372, 10563 ]

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

[ 6639, 7835, 547, 948, 7128, 4194, 10963, 267, 899, 5027, 4152, 267, 4359, 18837, 22475, 267, 543, 30907, 838, 3539, 3457, 899, 519, 29097, 2001, 563, 8601, 519, 2282, 2347, 11761, 540, 519, 13338, 20038, 1996, 796, 32016, 3406, 543, 23069, 267, 519, 24999, 2557, 585, 12638, 4797, 922, 1863, 2887, 269, 901, 8711, 519, 1249, 602, 1100, 2339, 875, 1082, 2924, 616, 2016, 909, 610, 22624, 21022, 267, 7128, 3112, 10018, 707, 3106, 563, 4407, 7128, 616, 17528, 547, 8495, 15294, 619, 267, 519, 2557, 693, 799, 789, 616, 24937, 22149, 568, 4986, 2110, 540, 7803, 563, 6097, 547, 519, 4972, 540, 10456, 267, 972, 616, 4867, 936, 476, 6110, 267, 1822, 2150, 6479, 22149, 20164, 10655, 7452, 538, 7128, 2963, 11623, 18487, 267, 543, 1082, 824, 9193, 2303, 602, 713, 1297, 1223, 581, 607, 1164, 607, 835, 2929, 563, 2026, 513, 1267, 540, 713, 27337, 881, 32226, 267, 10199, 476, 274, 260, 540, 22149, 2665, 538, 3013, 616, 2965, 12193, 269, 901, 568, 538, 19220, 540, 519, 1249, 602, 1082, 22149, 20164, 723, 513, 1164, 4960, 540, 3056, 547, 606, 10654, 2094, 1034, 22850, 1235, 616, 4876, 20737, 945, 723, 741, 5027, 593, 3758, 563, 1103, 930, 2665, 267, 519, 9601, 1256, 917, 945, 741, 31487, 941, 267, 855, 789, 666, 711, 21991, 1393, 891, 20737, 1317, 519, 2963, 814, 2943, 547, 581, 9268, 676, 7128, 563, 6635, 6135, 532, 22850, 1235, 543, 15294, 18996, 3274, 8813, 2110, 538, 519, 1079, 2127, 7128, 616, 14126, 827, 282, 8907, 4015, 543, 5329, 741, 1102, 3836, 3075, 2112, 23348, 13576, 563, 288, 21991, 12460, 538, 595, 8500, 1695, 7541, 6019, 568, 5275, 547, 1689, 713, 5360, 659, 1890, 543, 814, 3323, 519, 20351, 2667, 5435, 14173, 17130, 10414, 269, 634, 2164, 540, 2965, 14236, 519, 20164, 723, 8810, 1876, 11268, 547, 581, 30739, 6309, 3373, 18621, 550, 538, 741, 11645, 563, 27775, 2105, 585, 1411, 454, 7712, 519, 27299, 540, 519, 4305, 3196, 267, 741, 7634, 814, 8507, 538, 476, 7742, 31710, 563, 6097, 547, 513, 1867, 538, 519, 11545, 25357, 2676, 8170, 782, 17626, 22850, 1235, 538, 519, 1353, 267, 476, 10619, 2600, 1185, 693, 2547, 835, 1991, 21688, 3415, 10654, 267, 543, 476, 4817, 2600, 1185, 693, 2547, 835, 21688, 3415, 1310, 563, 2690, 835, 6066, 25476, 267, 789, 1336, 476, 7906, 2600, 1185, 1991, 21688, 3415, 10654, 338, 267, 543, 476, 4281, 2600, 1185, 693, 2547, 835, 13604, 563, 4517, 1851, 17626, 25476, 267, 476, 2918, 2600, 1185, 1044, 18486, 585, 4638, 14213, 1354, 602, 1880, 6760, 267, 1247, 476, 2568, 2600, 941, 18486, 585, 606, 20775, 4638, 14213, 2663, 593, 563, 262, 5978, 4681, 2303, 621, 568, 1360, 2693, 602, 513, 4638, 1055, 2658, 814, 2901, 5892, 16770, 14213, 539, 610, 786, 1055, 754, 1586, 538, 519, 2104, 10086, 1767, 24981, 10753, 767, 331, 267, 513, 9972, 1382, 12314, 693, 519, 23548, 684, 4741, 543, 1071, 6122, 14575, 540, 519, 595, 8500, 1695, 7541, 6019, 20351, 2667, 5435, 14173, 15815, 582, 3194, 5741, 563, 262, 20059, 580, 908, 1142, 4638, 14213, 607, 7654, 10419, 3603, 676, 513, 17626, 1055, 2658, 814, 519, 1761, 547, 2569, 519, 1297, 540, 4638, 14213, 338, 952, 13753, 1445, 811, 593, 519, 1055, 2658, 982, 593, 2582, 13685, 25692, 31415, 515, 572, 616, 835, 17907, 6760, 6329, 10086, 1767, 595, 8500, 1695, 7541, 6019, 1160, 5913, 12460, 30227, 269, 808, 269, 17755, 842, 344, 563, 262, 4517, 1631, 602, 649, 8275, 713, 267, 649, 3112, 1450, 891, 20164, 547, 1694, 593, 21684, 2150, 6479, 538, 519, 2104, 269, 1358, 3180, 519, 10569, 547, 7114, 543, 20903, 532, 5906, 20737, 25692, 262, 25187, 11268, 7494, 19765, 13846, 519, 2318, 1267, 602, 1131, 2097, 856, 540, 14236, 891, 22149, 20164, 10086, 1160, 5913, 12460, 17755, 842, 344, 1552, 3176, 563, 262, 2171, 616, 7114, 267, 21991, 5024, 543, 5309, 5109, 930, 540, 519, 1034, 5906, 10795, 10956, 25476, 538, 938, 2950, 563, 31415, 515, 1382, 1631, 4947, 856, 540, 519, 23548, 684, 4741, 568, 17923, 519, 2956, 540, 713, 960, 267, 711, 1152, 538, 595, 8500, 1695, 7541, 6019, 267, 855, 25422, 25692, 5331, 602, 269, 4495, 1876, 11268, 6212, 741, 3007, 593, 16069, 4890, 10963, 267, 3079, 540, 3775, 6883, 519, 4961, 267, 5126, 4523, 543, 17626, 22850, 1235, 616, 3144, 1055, 519, 8265, 563, 1692, 1082, 2021, 723, 1044, 14578, 16091, 936, 519, 1296, 676, 891, 1482, 642, 850, 20737, 1317, 519, 32226, 540, 2941, 338, 1932, 5461, 538, 30191, 519, 2112, 593, 5061, 888, 31415, 515, 1995, 540, 10655, 513, 22149, 6539, 568, 12362, 267, 543, 2523, 865, 1318, 1310, 513, 6408, 814, 1044, 911, 636, 5597, 14213, 539, 10086, 1767, 10753, 767, 331, 563, 31415, 515, 572, 9601, 1705, 1018, 789, 723, 1044, 4280, 547, 798, 547, 8190, 2963, 1107, 855, 602, 2963, 1175, 2893, 267, 2150, 6479, 269, 634, 1007, 1184, 649, 875, 786, 10836, 689, 938, 4674, 786, 1732, 8956, 9601, 25692, 314, 10461, 2140, 284, 3269, 3239, 6889, 10059, 2517, 339, 1111, 335, 560, 1645, 560, 326, 9884, 335, 19956, 2593, 11320, 335, 9762, 550, 270, 340, 22744, 338, 270, 1001, 277, 270, 6734, 8276, 698, 528, 626, 3887, 13970, 7597, 275, 279, 4037, 24798, 275, 27970, 19312, 300, 3430, 3397, 528, 626, 568, 606, 8956, 2406, 26809, 25982, 540, 519, 2475, 10157, 543, 5449, 4987, 11346, 2047, 25461, 676, 519, 715, 6347, 269, 901, 1991, 1995, 3947, 1864, 2189, 5813, 883, 519, 1158, 540, 2229, 13313, 543, 519, 1977, 7128, 1533, 269, 3397, 528, 626, 814, 1044, 606, 4830, 19784, 585, 936, 513, 8717, 543, 814, 1044, 12286, 593, 13416, 5121, 1472, 519, 1158, 269, 7427, 7711, 300, 3430, 13070, 528, 626, 22535, 10461, 316, 0, 2171, 2743, 609, 938, 1071, 22086, 619, 2228, 267, 3643, 6264, 2742, 936, 8131, 11742, 267, 543, 950, 649, 2461, 19252, 267, 28923, 15565, 721, 1945, 547, 4585, 1759, 593, 938, 4505, 5784, 269, 1284, 1810, 1406, 29311, 621, 267, 855, 1510, 6620, 267, 938, 2729, 538, 27579, 1131, 723, 1044, 1360, 1114, 563, 1432, 827, 6580, 8924, 945, 2995, 721, 827, 1761, 13292, 267, 610, 3635, 8924, 602, 2995, 721, 950, 547, 1847, 538, 1931, 547, 3251, 2635, 286, 27122, 616, 10876, 269, 1809, 513, 2603, 540, 1004, 616, 530, 776, 540, 873, 267, 585, 3236, 1317, 621, 729, 519, 946, 540, 16762, 6620, 602, 3366, 547, 7130, 538, 519, 10656, 1126, 27108, 29317, 563, 3719, 12314, 7548, 540, 5841, 4987, 5096, 728, 24162, 328, 3081, 602, 6620, 5749, 1406, 782, 602, 12357, 269, 2048, 2005, 779, 4986, 811, 982, 513, 11600, 267, 513, 1305, 540, 5528, 649, 2328, 547, 4194, 513, 1966, 269, 1879, 596, 1039, 1079, 2338, 1927, 267, 596, 2461, 849, 1210, 606, 5690, 282, 596, 2461, 1175, 1210, 4050, 543, 1957, 19028, 763, 5690, 11600, 568, 5393, 11684, 267, 3056, 547, 1390, 8906, 538, 3621, 1382, 269, 769, 5698, 609, 9164, 689, 2564, 9443, 267, 7548, 540, 1217, 18267, 7812, 645, 773, 25632, 2919, 513, 1582, 19543, 5690, 602, 568, 1454, 1732, 693, 23235, 29427, 14189, 2860, 982, 2757, 18767, 616, 563, 2691, 596, 1039, 1079, 2338, 1927, 267, 596, 2461, 849, 1210, 606, 5690, 454, 8072, 2467, 616, 1079, 6620, 602, 1404, 606, 1271, 1909, 538, 713, 8730, 646, 6941, 269, 2048, 2467, 779, 513, 2866, 5690, 602, 9382, 3732, 1239, 267, 7175, 519, 23235, 5690, 547, 960, 5688, 958, 269, 898, 666, 3713, 3676, 1454, 811, 7561, 269, 589, 1268, 1131, 1491, 1454, 3476, 547, 20272, 519, 1239, 540, 5215, 540, 2550, 19028, 2704, 326, 3596, 916, 666, 849, 948, 4339, 6760, 267, 3081, 30546, 717, 560, 516, 514, 267, 606, 13930, 7548, 693, 28941, 674, 787, 16435, 5889, 333, 2027, 2358, 538, 10350, 543, 6932, 4066, 543, 513, 4759, 540, 519, 4578, 3194, 10418, 269, 6875, 16762, 2384, 532, 267, 585, 3236, 281, 2048, 2704, 326, 3596, 916, 3406, 998, 2462, 1239, 547, 3589, 1141, 10956, 6309, 514, 1275, 267, 899, 1286, 17403, 543, 2736, 15564, 267, 616, 1034, 2693, 547, 4755, 269, 898, 779, 4443, 547, 20272, 1804, 10627, 2583, 540, 1344, 267, 799, 2636, 721, 547, 1118, 1732, 3664, 19028, 12663, 6620, 849, 581, 1818, 2564, 3664, 538, 519, 2104, 286, 4024, 1004, 581, 26722, 540, 7803, 7180, 1759, 593, 513, 4542, 286, 2991, 519, 1126, 27108, 29317, 267, 621, 779, 513, 6213, 3390, 563, 8072, 2252, 594, 949, 1404, 26881, 779, 12167, 281, 950, 513, 9794, 610, 513, 4387, 2306, 513, 3375, 267, 596, 1810, 1406, 2141, 917, 875, 789, 6603, 602, 3932, 8730, 3081, 717, 560, 516, 514, 269, 2048, 5278, 1004, 2161, 602, 5690, 545, 3375, 1818, 568, 811, 6662, 269, 589, 2780, 1175, 1281, 1018, 621, 1281, 267, 543, 950, 713, 568, 1759, 593, 513, 3152, 1514, 4901, 827, 16048, 3853, 543, 6788, 621, 1223, 1291, 547, 1732, 3375, 1818, 19028, 763, 9073, 616, 1500, 538, 519, 7355, 454, 2691, 621, 1281, 979, 4636, 267, 519, 1614, 4966, 2161, 267, 621, 779, 2356, 1317, 9444, 9858, 6862, 3755, 1174, 875, 6620, 960, 269, 2048, 10144, 7340, 621, 779, 513, 8739, 14482, 1013, 673, 1062, 282, 606, 5872, 1063, 812, 543, 3684, 8730, 3081, 24162, 328, 269, 634, 811, 1950, 519, 1641, 267, 519, 811, 1950, 519, 5690, 269, 2048, 1607, 568, 2523, 3020, 585, 5396, 5473, 519, 2229, 19028, 1103, 513, 2013, 899, 519, 1126, 27108, 29317, 267, 645, 773, 25632, 3081, 519, 1004, 3743, 616, 15720, 3297, 519, 2029, 269, 2048, 2691, 594, 5873, 14761, 593, 519, 3377, 2161, 602, 649, 1058, 1225, 18571, 519, 946, 540, 6620, 267, 602, 1175, 2982, 602, 789, 1810, 1406, 1174, 621, 269, 898, 779, 711, 606, 5690, 779, 13337, 950, 1919, 979, 4636, 269, 634, 9073, 616, 1500, 538, 519, 1239, 602, 779, 1373, 6394, 543, 519, 7355, 602, 723, 1044, 3403, 538, 519, 1062, 269, 8409, 616, 1480, 6959, 19028, 8253, 513, 11067, 3684, 454, 8072, 763, 1966, 8730, 3081, 24162, 328, 267, 2048, 529, 602, 1004, 1589, 6620, 616, 891, 5863, 543, 3608, 1919, 602, 666, 948, 873, 4688, 19726, 540, 2724, 10200, 1809, 1247, 12957, 786, 4688, 2724, 538, 519, 1279, 2165, 267, 621, 2965, 3790, 2724, 538, 519, 2110, 2165, 267, 3177, 621, 779, 1373, 8045, 7157, 269, 4658, 4043, 547, 30391, 713, 267, 717, 560, 516, 514, 814, 8068, 269, 2048, 296, 5781, 2671, 1250, 1382, 4681, 609, 6608, 269, 10705, 267, 1004, 616, 1932, 11235, 547, 1205, 3323, 269, 1358, 1810, 1406, 5265, 4137, 856, 741, 6859, 267, 610, 945, 519, 12957, 786, 1764, 19028, 8072, 8505, 558, 566, 8730, 3081, 717, 560, 516, 514, 267, 2048, 529, 333, 1406, 607, 2241, 607, 7432, 593, 513, 11067, 3684, 543, 2921, 856, 519, 2973, 27445, 950, 621, 779, 2944, 269, 1809, 602, 779, 711, 1945, 1004, 899, 547, 5873, 693, 519, 1376, 540, 513, 1184, 19028, 10144, 616, 1932, 11235, 547, 1205, 3323, 454, 289, 773, 25632, 3081, 11413, 568, 2629, 952, 649, 1616, 1004, 547, 3972, 6620, 269, 2048, 2171, 991, 547, 917, 4010, 1018, 6620, 616, 5921, 547, 5173, 282, 1018, 616, 519, 7355, 1373, 1031, 547, 1118, 513, 3375, 286, 685, 901, 568, 2523, 1271, 538, 519, 2564, 2361, 267, 646, 3081, 269, 2048, 2704, 326, 3596, 916, 616, 1373, 1031, 547, 4217, 7189, 269, 1403, 513, 3461, 610, 513, 4387, 3085, 1406, 1174, 519, 5690, 545, 5796, 267, 1100, 835, 786, 3972, 621, 19028, 2704, 326, 3596, 916, 6157, 5749, 1406, 3501, 267, 855, 789, 666, 798, 9735, 8631, 267, 3746, 2478, 24162, 328, 269, 2048, 2026, 1279, 607, 972, 616, 1004, 3238, 945, 616, 5432, 609, 519, 3510, 10200, 1261, 1797, 1004, 945, 723, 519, 10100, 547, 2911, 827, 519, 5383, 543, 519, 7687, 540, 519, 1949, 267, 1004, 945, 917, 519, 4690, 602, 616, 693, 7196, 269, 4658, 945, 4161, 10054, 543, 14882, 267, 945, 616, 12001, 827, 875, 3664, 616, 1500, 269, 2048, 2005, 779, 711, 2141, 2653, 267, 855, 950, 596, 723, 1004, 899, 602, 267, 6620, 723, 865, 1454, 547, 2709, 2486, 19028, 763, 1614, 3744, 796, 29434, 3585, 3858, 602, 6620, 786, 1404, 606, 1271, 1909, 538, 2462, 2152, 971, 607, 2916, 1689, 267, 1480, 2924, 267, 543, 27955, 3676, 269, 2048, 763, 2104, 568, 2407, 540, 6620, 8730, 3081, 24162, 328, 269, 2048, 3719, 621, 568, 513, 1434, 3364, 602, 2486, 568, 5329, 513, 2565, 3750, 593, 1919, 19028, 6546, 849, 1797, 621, 779, 1271, 602, 1004, 779, 3059 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3451, 454, 272, 269, 10289, 519, 6250, 1470, 1604, 454, 273, 269, 14301, 13088, 454, 274, 269, 12861, 2596, 12222, 454, 275, 269, 14474, 1154, 8571, 902, 454, 276, 269, 11554, 609, 9664, 454, 277, 269, 12861, 543, 4259, 909, 513, 1007, 2721, 454, 278, 269, 12861, 3060, 543, 23730, 12222, 454, 279, 269, 12861, 2930, 29282, 454, 280, 269, 11628, 2688, 3337, 1374, 454, 1015, 269, 6355, 12222, 454, 1556, 269, 8416, 12222, 543, 5680, 3135, 11837, 454, 1321, 269, 12229, 543, 6538, 12222, 454, 1691, 269, 23889, 6250, 1470, 609, 824, 3156, 454, 22923, 4804, 27159, 454, 10743, 786, 6542, 15334, 609, 1082, 4359, 2934, 540, 9786, 6250, 1470, 3301, 269, 1358, 786, 581, 2111, 547, 2721, 543, 3898, 4359, 12222, 543, 2095, 577, 11301, 29282, 269, 634, 1053, 786, 581, 2111, 547, 1711, 6989, 7851, 543, 5604, 29282, 269, 634, 1053, 786, 581, 2111, 547, 11753, 9185, 543, 7457, 3301, 547, 3132, 6250, 1470, 6054, 563, 10743, 786, 6542, 15334, 538, 5373, 543, 18534, 12686, 3615, 547, 2333, 1620, 540, 7294, 1344, 1369, 519, 6516, 563, 22923, 786, 723, 519, 1702, 540, 519, 2596, 2497, 607, 1134, 607, 1374, 543, 2721, 513, 2095, 24577, 1210, 5546, 267, 28339, 543, 1449, 2934, 563, 22923, 786, 2744, 519, 1702, 540, 519, 3069, 3297, 543, 5265, 8415, 1585, 1257, 11249, 3681, 563, 22923, 786, 1020, 519, 2702, 547, 1711, 3060, 12222, 1210, 6106, 267, 1950, 5546, 267, 4282, 3817, 267, 6402, 543, 12596, 563, 22923, 786, 1397, 875, 547, 1589, 9691, 3823, 950, 547, 946, 2095, 5750, 532, 3301, 547, 2333, 1620, 540, 1950, 1344, 563, 22923, 786, 6542, 2565, 3206, 1983, 950, 10128, 6250, 1470, 609, 824, 3156, 563, 11754, 547, 5800, 12859, 630, 641, 839, 513, 1007, 6885, 264, 0, 13640, 8365, 540, 519, 454, 11847, 3016, 540, 3162, 4000, 454, 13233, 7027, 540, 28393, 806, 454, 3445, 2817, 7027, 454, 6110, 2817, 13909, 454, 13233, 7027, 540, 28393, 806, 2797, 2516, 454, 13233, 13909, 2797, 2516, 454, 347, 6554, 630, 15996, 994, 302, 24810, 11534, 3789, 630, 10019, 994, 8448, 6105, 630, 10436, 994, 347, 295, 11817, 540, 12057, 267, 15729, 16011, 2008, 310, 3480, 15729, 267, 3162, 4000, 454, 763, 12057, 540, 3162, 4000, 568, 3162, 4000, 781, 23328, 282, 896, 519, 1459, 9139, 540, 3162, 4000, 267, 519, 22833, 600, 1968, 12057, 13408, 513, 2817, 13909, 543, 513, 2817, 7027, 540, 28393, 806, 269, 634, 1699, 8938, 5498, 22770, 12057, 729, 1101, 7036, 539, 593, 476, 2420, 2904, 476, 1001, 280, 563, 763, 31317, 540, 519, 12057, 540, 3162, 4000, 267, 1354, 519, 476, 4489, 271, 5742, 540, 3162, 4000, 267, 729, 519, 22833, 600, 1968, 12057, 540, 519, 15729, 540, 6153, 16593, 269, 901, 729, 7768, 540, 519, 5600, 540, 13909, 630, 1492, 2539, 2777, 264, 543, 519, 22694, 894, 7027, 630, 1492, 5580, 2777, 1040, 898, 18584, 1394, 547, 519, 20297, 540, 15729, 7115, 538, 476, 6977, 274, 543, 729, 11221, 2687, 547, 519, 3818, 268, 24055, 15729, 19120, 1881, 17012, 577, 1047, 1062, 267, 17929, 27049, 20340, 941, 4294, 8449, 547, 782, 9038, 267, 7488, 540, 5198, 563, 2691, 519, 5742, 540, 3162, 4000, 729, 3964, 538, 476, 4489, 271, 267, 519, 12057, 729, 22833, 600, 1968, 543, 15538, 540, 519, 3751, 610, 519, 10348, 267, 519, 14130, 267, 543, 519, 5600, 540, 13909, 630, 4385, 538, 2279, 27996, 753, 607, 519, 5292, 802, 571, 611, 1916, 763, 5888, 540, 12057, 729, 4957, 676, 13338, 22853, 689, 942, 547, 942, 912, 1103, 513, 22275, 31558, 4371, 538, 476, 3422, 271, 267, 513, 1507, 5354, 540, 519, 3043, 17037, 9516, 519, 7503, 540, 519, 2197, 689, 513, 7464, 332, 610, 18067, 542, 540, 519, 3703, 20448, 547, 513, 14081, 563, 763, 6243, 540, 3162, 4000, 729, 3964, 538, 476, 3422, 272, 269, 634, 1152, 1689, 1500, 547, 519, 5888, 540, 519, 12057, 729, 519, 18839, 540, 519, 3557, 5518, 585, 519, 10348, 269, 589, 1906, 1713, 2242, 941, 1500, 2663, 912, 288, 1007, 9139, 267, 5189, 538, 476, 2735, 275, 267, 556, 10276, 325, 13361, 2213, 519, 2051, 10696, 2551, 630, 342, 1580, 607, 1134, 607, 2367, 264, 543, 679, 325, 13361, 2213, 519, 4095, 2551, 269, 898, 17477, 519, 4540, 5600, 540, 13909, 585, 16543, 543, 3964, 513, 5600, 540, 24929, 547, 2099, 519, 2051, 10696, 338, 267, 543, 513, 5600, 540, 1546, 5586, 919, 585, 519, 12075, 267, 1818, 12057, 513, 28886, 600, 1968, 23328, 269, 2349, 2931, 4797, 547, 581, 16934, 563, 763, 3109, 5354, 941, 1869, 771, 325, 13361, 2213, 267, 543, 519, 1007, 1062, 26218, 26117, 1256, 1851, 519, 2051, 10696, 338, 543, 1306, 2103, 267, 1082, 540, 7247, 7911, 20799, 1540, 12836, 269, 769, 513, 22275, 31558, 4371, 538, 476, 1960, 273, 267, 476, 6924, 269, 10463, 260, 540, 630, 21671, 3043, 264, 17037, 9516, 519, 6963, 1184, 602, 3927, 8694, 18766, 22727, 269, 769, 3735, 476, 1960, 274, 267, 835, 540, 519, 2063, 4773, 540, 9086, 5293, 676, 519, 28886, 600, 1968, 12057, 729, 519, 3955, 574, 9139, 267, 799, 3576, 1198, 593, 476, 2767, 4989, 476, 1960, 275, 267, 519, 1482, 1554, 607, 519, 1101, 1875, 268, 24055, 12836, 563, 288, 1007, 954, 574, 11156, 267, 5189, 538, 476, 1960, 275, 1310, 2185, 1296, 540, 19908, 267, 6368, 5189, 782, 268, 15869, 9111, 543, 679, 325, 13361, 2213, 2367, 543, 2021, 540, 782, 14797, 593, 3160, 2474, 267, 519, 5934, 2085, 6967, 476, 1240, 1296, 269, 12057, 729, 10411, 21114, 547, 2874, 540, 513, 14130, 543, 513, 2817, 13909, 563, 763, 25931, 1062, 3096, 14354, 6041, 267, 609, 17037, 13359, 585, 2797, 6105, 2864, 982, 585, 10457, 269, 1160, 1636, 1308, 6041, 2636, 585, 4130, 6105, 547, 723, 513, 4960, 540, 16565, 16295, 538, 14618, 267, 4352, 891, 6105, 1419, 9192, 538, 1931, 547, 723, 513, 6793, 5639, 1369, 519, 2797, 1062, 267, 2523, 1996, 519, 4888, 290, 269, 634, 18763, 5082, 7394, 8189, 568, 9901, 609, 5329, 12836, 4023, 267, 2834, 267, 543, 3160, 269, 3487, 625, 10505, 6806, 8638, 540, 10457, 547, 519, 594, 4488, 267, 543, 519, 594, 4488, 25361, 519, 16295, 28286, 1540, 547, 1367, 6105, 1210, 519, 11134, 8638, 1310, 9550, 2164, 2097, 538, 269, 634, 21146, 1062, 814, 2938, 2370, 13313, 2094, 476, 1960, 275, 563, 295, 27941, 4065, 10579, 715, 531, 2664, 17455, 528, 814, 7074, 602, 1282, 1200, 2165, 630, 11034, 532, 476, 1960, 275, 264, 513, 7771, 538, 2797, 2463, 1464, 1185, 7018, 538, 14618, 267, 1813, 547, 922, 2818, 711, 2502, 609, 835, 1776, 538, 513, 1330, 974, 748, 6073, 269, 2701, 6376, 539, 602, 1352, 5433, 3768, 793, 1881, 547, 581, 606, 20626, 540, 519, 19020, 7180, 267, 799, 849, 7409, 1243, 519, 2932, 540, 3811, 6214, 563, 28893, 2817, 6837, 281, 634, 4888, 290, 729, 8547, 538, 476, 4489, 273, 267, 855, 941, 17049, 676, 3557, 5518, 8176, 7605, 828, 1206, 4210, 691, 538, 476, 3422, 271, 267, 6967, 865, 2394, 519, 7333, 729, 24850, 13977, 1296, 2663, 676, 5518, 674, 269, 654, 269, 1546, 918, 2401, 330, 269, 634, 4888, 290, 2968, 519, 3056, 2797, 5428, 538, 3162, 4000, 1310, 519, 1101, 3818, 268, 24055, 9550, 538, 476, 1960, 275, 269, 634, 5428, 781, 1292, 3760, 26520, 593, 2324, 2509, 7292, 7862, 543, 16701, 21899, 519, 8739, 20300, 5049, 799, 616, 1419, 1759, 593, 5198, 269, 634, 4888, 290, 814, 1044, 2808, 513, 5428, 585, 5065, 3162, 20338, 267, 2523, 1354, 476, 1220, 280, 950, 5428, 6205, 15243, 2098, 6373, 5185, 2789, 25197, 725, 3823, 13313, 267, 3226, 1210, 1857, 7482, 585, 1010, 1378, 5301, 269, 634, 2804, 7965, 538, 3162, 4000, 267, 607, 1134, 607, 7128, 30468, 723, 1312, 1044, 30199, 593, 519, 4888, 290, 269, 17497, 267, 519, 4888, 290, 6585, 476, 15996, 16295, 538, 14618, 269, 8081, 585, 519, 4888, 290, 4682, 1524, 1063, 519, 476, 1001, 275, 543, 519, 476, 1001, 280, 2489, 12836, 267, 609, 10795, 17600, 21074, 532, 782, 936, 519, 2197, 538, 3210, 547, 519, 31482, 540, 13313, 1369, 519, 4888, 290, 543, 519, 1875, 1673, 601, 6116, 540, 18513, 2533, 563, 20779, 7095, 19137, 281, 634, 21096, 729, 4646, 950, 519, 1715, 2817, 9549, 267, 519, 24288, 547, 519, 32044, 268, 5028, 2817, 9549, 267, 24673, 609, 519, 14891, 9549, 543, 519, 8549, 19137, 538, 476, 1220, 271, 547, 1106, 606, 19710, 269, 634, 21096, 568, 606, 11685, 5428, 543, 814, 1044, 12926, 6462, 676, 3162, 4000, 781, 12102, 2950, 630, 19669, 267, 2051, 10696, 543, 4095, 1040, 769, 811, 2487, 1296, 267, 519, 5428, 814, 13986, 547, 3094, 16018, 689, 4563, 3162, 20338, 543, 607, 513, 1267, 267, 4563, 1489, 585, 519, 21096, 814, 24111, 936, 519, 2250, 1896, 1296, 267, 2469, 689, 476, 272, 260, 547, 476, 277, 10065, 634, 21096, 568, 513, 12666, 5428, 602, 7957, 2293, 1863, 27360, 564, 4507, 269, 634, 21096, 729, 28286, 1540, 476, 8660, 16295, 538, 14618, 1310, 519, 476, 1001, 275, 2489, 9550, 267, 855, 519, 5428, 781, 10160, 2698, 8519, 547, 476, 10019, 16295, 1739, 519, 476, 1001, 280, 2489, 9550, 563, 30356, 15213, 674, 16146, 281, 634, 661, 13697, 7153, 5216, 3275, 1354, 519, 476, 1001, 275, 2489, 9550, 543, 4465, 476, 1839, 16295, 538, 14618, 269, 2991, 519, 476, 1001, 280, 2489, 12836, 267, 519, 661, 13697, 2799, 741, 16295, 538, 14618, 547, 476, 4510, 267, 519, 1152, 5428, 540, 519, 1283, 1614, 6105, 602, 6913, 606, 2333, 540, 2818, 538, 14618, 269, 634, 661, 13697, 568, 513, 2484, 268, 3847, 12316, 24180, 2797, 5428, 267, 14957, 585, 2244, 1163, 10187, 566, 543, 585, 606, 1439, 547, 13313, 1369, 14618, 269, 634, 661, 13697, 814, 1044, 4922, 15034, 540, 12982, 13842, 4633, 1996, 6519, 543, 4095, 3162, 20338, 563, 1103, 330, 24048, 15213, 9549, 281, 634, 594, 17025, 267, 799, 729, 4646, 538, 476, 1960, 271, 729, 519, 24288, 547, 519, 5449, 2229, 538, 519, 1631, 12413, 9417, 32765, 1794, 21343, 645, 656, 755, 534, 267, 12926, 14405, 922, 1489, 689, 519, 2098, 21343, 1004, 269, 898, 814, 2705, 1500, 538, 30030, 883, 519, 12102, 1528, 28672, 540, 1733, 2572, 543, 12075, 269, 634, 594, 17025, 729, 519, 3791, 28376, 5428, 2394, 621, 729, 796, 572, 730, 676, 519, 661, 13697, 543, 568, 835, 540, 519, 1906, 6105, 547, 723, 15654, 6041, 538, 14618, 2094, 9111, 538, 476, 1960, 275, 269, 634, 594, 17025, 6306, 689, 519, 4888, 290, 729, 851, 540, 519, 2817, 6554, 585, 476, 1015, 1296, 269, 634, 594, 17025, 23594, 519, 2924, 540, 2757, 3401, 543, 15156, 585, 4507, 799, 12797, 1863, 6990, 269, 634, 5428, 568, 10353, 547, 25847, 543, 21340, 4507, 563, 10303, 519, 4888, 290, 814, 971, 513, 1804, 5354, 538, 14618, 267, 4130, 6105, 616, 7683, 8108, 24816, 543, 5755, 1431, 538, 1931, 547, 957, 607, 513, 6793, 11685, 547, 519, 4888, 290, 24507, 15424, 543, 10324, 8371, 563, 13640, 8365, 18795, 538, 15729, 16011, 267, 1256, 1498, 519, 10160, 540, 2229, 568, 538, 23239, 18319, 269, 901, 7389, 1394, 547, 519, 5748, 540, 519, 5742, 267, 950, 972, 729, 24895, 1851, 519, 2185, 16899, 607, 547, 799, 2749, 1131, 581, 519, 3084, 3854, 269, 1306, 513, 14207, 267, 15729, 16011, 729, 11280, 519, 15424, 3854, 267, 2349, 334, 655, 325, 517, 12888, 519, 16324, 3854, 267, 543, 23239, 18319, 519, 11889, 3854, 269, 634, 3979, 2817, 6837, 630, 3198, 290, 264, 2229, 814, 6069, 3001, 12057, 547, 23239, 18319, 267, 19163, 602, 519, 1459, 11460, 568, 524, 13246, 727, 607, 26110, 267, 3540, 22063, 543, 17009, 1846, 1590, 1847, 1394, 543, 8521, 950, 12057, 568, 538, 8400, 563, 4913, 267, 1082, 7167, 17662, 2103, 723, 9275, 856, 1996, 971, 513, 1847, 267, 934, 6748, 519, 4888, 290, 540, 3843, 547, 3844, 1047, 1379, 269, 7201, 519, 9139, 267, 972, 568, 11865, 585, 12057, 547, 1694, 11992, 982, 15729, 16011, 593, 12406, 540, 1857, 1719, 267, 3354, 610, 13418, 543, 12057, 568, 15868, 547, 1683, 538, 922, 3652, 543, 9753, 585, 1694, 14005, 3544, 15729, 16011, 269, 14329, 476, 2190, 540, 519, 2817, 13909, 16390, 9935, 2636, 519, 29150, 547, 1463, 602, 519, 5600, 786, 1694, 693, 1412, 320, 1747, 824, 982, 519, 670, 11817, 540, 12057, 538, 15729, 16011, 262, 1310, 17874, 519, 26064, 540, 519, 5600, 543, 519, 12751, 654, 1222, 540, 1142, 5428, 6719, 538, 519, 5600, 269, 14329, 476, 2537, 540, 519, 3652, 540, 519, 2817, 7027 ]

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

[ 7271, 540, 5836, 3679, 2305, 454, 2026, 594, 5941, 4505, 602, 519, 1377, 540, 3327, 8166, 814, 1044, 11179, 8375, 538, 519, 5790, 2094, 519, 4098, 540, 13674, 540, 8093, 10173, 269, 634, 7050, 3327, 8166, 568, 3478, 15702, 883, 519, 4262, 1216, 267, 543, 538, 1267, 267, 1818, 30173, 7297, 811, 15755, 563, 20007, 1227, 6340, 267, 950, 519, 3327, 8166, 15702, 538, 519, 1216, 267, 519, 1267, 786, 581, 519, 3327, 545, 3679, 269, 6314, 1227, 267, 3327, 545, 3679, 17838, 7513, 19941, 883, 7513, 22833, 12365, 622, 799, 568, 3362, 4744, 565, 15344, 538, 519, 1216, 563, 4517, 267, 649, 917, 602, 14147, 4874, 1186, 25309, 7513, 547, 1106, 1608, 3249, 748, 22403, 585, 4027, 269, 769, 713, 3510, 950, 519, 4110, 540, 3327, 545, 3679, 568, 7683, 3395, 267, 519, 17866, 14147, 4874, 1186, 616, 2469, 547, 1831, 811, 543, 811, 6534, 547, 519, 8801, 4229, 540, 2916, 269, 769, 713, 1259, 267, 6263, 267, 17866, 14147, 4874, 1186, 616, 9561, 741, 338, 2067, 8825, 3382, 547, 1831, 9601, 563, 1432, 1131, 4755, 1287, 15017, 5475, 782, 713, 2079, 267, 835, 1223, 3362, 9959, 602, 1312, 30173, 3679, 2305, 543, 14147, 6926, 2286, 616, 2469, 547, 6961, 17672, 585, 519, 1360, 6228, 540, 14147, 4874, 1186, 543, 11818, 3889, 269, 6314, 1227, 267, 7909, 545, 3679, 2305, 666, 2014, 14147, 4874, 1186, 547, 6336, 8825, 3382, 267, 6466, 267, 14147, 4874, 1186, 666, 1406, 7639, 1510, 1623, 25027, 2078, 602, 568, 1373, 7361, 4299, 676, 14147, 6926, 2286, 907, 0, 3849, 14620, 16083, 540, 942, 5189, 676, 950, 6257, 513, 1448, 540, 942, 538, 799, 2962, 568, 5340, 269, 24641, 267, 16083, 4098, 609, 1247, 6212, 593, 519, 1482, 1974, 540, 942, 585, 1079, 3527, 269, 769, 2110, 267, 519, 22466, 2495, 540, 950, 568, 1700, 520, 602, 942, 282, 593, 519, 824, 1688, 267, 519, 2495, 540, 1247, 568, 1700, 323, 1005, 602, 942, 269, 2913, 779, 1451, 538, 1469, 827, 1016, 867, 3215, 16083, 676, 950, 543, 1247, 10756, 305, 2737, 540, 5250, 454, 1892, 2691, 3436, 1448, 540, 942, 267, 693, 602, 942, 267, 2673, 5311, 1063, 1079, 3527, 563, 1892, 4407, 3436, 1974, 540, 942, 267, 1282, 602, 942, 267, 1079, 3527, 693, 519, 1482, 942, 563, 1892, 2691, 1341, 8200, 16083, 1341, 26893, 1341, 1292, 16083, 563, 1892, 4407, 1341, 8200, 16083, 1341, 26893, 1341, 1292, 16083, 563, 1892, 14611, 16083, 1341, 950, 1341, 8200, 16083, 563, 1892, 14611, 16083, 1341, 1247, 1341, 8200, 16083, 563, 1892, 2691, 585, 2489, 942, 454, 1892, 4407, 585, 1808, 942, 563, 1892, 306, 877, 13029, 568, 1031, 538, 1312, 8200, 543, 1292, 16083, 563, 31306, 25581, 13450, 5749, 1406, 1031, 538, 519, 950, 16083, 269, 5502, 267, 1459, 25581, 13450, 616, 9053, 585, 2104, 2631, 563, 23744, 267, 1247, 2053, 16083, 568, 1031, 585, 6024, 13029, 267, 543, 15991, 1031, 585, 2241, 13029, 563, 8196, 995, 1806, 540, 30163, 16083, 540, 942, 910, 15290, 543, 1247, 454, 1892, 2005, 729, 519, 942, 540, 8082, 543, 22584, 950, 519, 1158, 5258, 883, 1079, 18635, 15301, 15290, 7790, 2311, 602, 942, 1700, 12019, 2782, 994, 1892, 3891, 1031, 547, 3643, 3084, 11614, 950, 646, 729, 538, 519, 15057, 15301, 11484, 5235, 540, 15057, 3643, 994, 1892, 2691, 649, 10272, 17174, 4525, 267, 649, 5249, 585, 17174, 2014, 563, 1892, 2691, 568, 1031, 547, 2769, 3527, 538, 513, 5311, 609, 5934, 7934, 563, 1892, 2691, 519, 1668, 8452, 267, 519, 15915, 1185, 2907, 2451, 519, 1668, 3247, 563, 1892, 2171, 1185, 2907, 4988, 519, 2666, 950, 621, 3323, 986, 1456, 563, 1892, 2691, 789, 10294, 24044, 13933, 267, 5215, 540, 1004, 1185, 1044, 7166, 563, 1892, 2690, 519, 2104, 13029, 267, 2241, 1459, 568, 1031, 267, 543, 968, 12663, 892, 568, 711, 1031, 538, 519, 950, 16083, 563, 1892, 296, 786, 4217, 596, 950, 594, 9096, 2816, 563, 1892, 307, 17687, 786, 2097, 1524, 950, 519, 3327, 5434, 6175, 563, 1892, 763, 3510, 786, 1831, 3978, 950, 519, 4764, 17799, 563, 2691, 568, 1031, 899, 19585, 14966, 563, 1892, 23744, 267, 950, 568, 9053, 538, 519, 2241, 13029, 3079, 11636, 563, 1892, 2005, 568, 849, 1031, 547, 2769, 2829, 538, 1114, 1974, 540, 942, 563, 1892, 14300, 540, 1247, 454, 4407, 568, 1031, 585, 1808, 1974, 540, 942, 269, 769, 971, 5220, 267, 1312, 3527, 2049, 693, 519, 1482, 942, 563, 1892, 13828, 6082, 941, 27410, 1247, 1004, 989, 23550, 585, 519, 11175, 15301, 18485, 3527, 616, 9648, 693, 519, 1482, 942, 994, 1892, 14399, 941, 11981, 3544, 1247, 621, 729, 986, 1456, 21066, 563, 1892, 10144, 616, 22551, 532, 1996, 519, 20590, 1247, 9972, 8387, 616, 13267, 547, 9350, 1524, 4586, 1892, 14367, 3993, 568, 8600, 1426, 1247, 646, 3478, 4712, 585, 1153, 563, 5472, 1806, 1397, 4368, 546, 584, 2747, 540, 942, 547, 2769, 1079, 3527, 563, 4407, 568, 9053, 547, 946, 547, 2769, 6024, 13029, 269, 898, 568, 15991, 1031, 585, 2241, 13029, 269, 1809, 267, 950, 1568, 1732, 585, 2241, 13029, 269, 16593, 267, 713, 5816, 786, 948, 596, 547, 4487, 1016, 867, 3215, 16083, 676, 950, 543, 1247, 907, 0, 6783, 11394, 2647, 268, 19327, 7020, 454, 12867, 693, 519, 17459, 6369, 3427, 540, 7177, 630, 299, 657, 13353, 267, 11404, 264, 616, 3384, 513, 6263, 11275, 10309, 602, 666, 3713, 519, 3350, 540, 4496, 3615, 269, 634, 631, 32209, 2861, 3926, 267, 827, 519, 2450, 540, 513, 2777, 12187, 267, 666, 3713, 4108, 3937, 1700, 5228, 14742, 267, 13688, 267, 543, 18114, 547, 513, 17199, 8066, 513, 29461, 1700, 1575, 547, 476, 1911, 10264, 2630, 2666, 269, 13804, 564, 18852, 3713, 519, 4527, 540, 513, 4496, 1843, 998, 18063, 538, 519, 3047, 781, 6419, 2361, 269, 14066, 11275, 18852, 267, 930, 540, 799, 616, 1031, 547, 3713, 20140, 1149, 267, 8532, 1454, 811, 1379, 267, 1818, 873, 1447, 982, 4998, 896, 25071, 2175, 269, 634, 631, 32209, 11275, 10309, 267, 10169, 2147, 547, 513, 22315, 13549, 593, 513, 18784, 4336, 267, 27499, 1100, 1379, 547, 7500, 269, 1717, 267, 519, 3926, 1281, 2154, 930, 1379, 585, 519, 5547, 602, 14509, 519, 1239, 689, 519, 9300, 543, 13739, 338, 519, 2164, 1210, 12616, 2029, 563, 4537, 1144, 593, 519, 1394, 540, 513, 772, 2529, 269, 623, 10154, 585, 2450, 6476, 269, 901, 9300, 2882, 513, 11275, 10309, 267, 16267, 267, 543, 12616, 5991, 564, 1740, 31092, 563, 7212, 513, 2582, 3926, 1281, 711, 723, 519, 8417, 540, 2757, 3435, 267, 513, 1804, 3060, 539, 5044, 3262, 936, 606, 1858, 666, 2285, 1344, 602, 568, 811, 3730, 269, 4495, 519, 3457, 616, 18611, 998, 2409, 971, 607, 21177, 689, 606, 20987, 267, 9447, 676, 606, 25044, 7387, 267, 610, 14350, 17479, 267, 789, 1106, 513, 12616, 3060, 547, 30136, 7403, 936, 519, 1858, 1373, 16913, 269, 634, 3060, 23352, 4282, 6846, 689, 519, 9357, 14459, 610, 2067, 17285, 12074, 676, 6947, 585, 6419, 1922, 1752, 18063, 689, 1152, 513, 1906, 8596, 269, 634, 1062, 666, 20559, 2436, 519, 19717, 568, 23197, 610, 693, 610, 2630, 2666, 1377, 269, 31603, 609, 7482, 689, 513, 1614, 4458, 16470, 11628, 3194, 18768, 10837, 9886, 267, 519, 3926, 814, 1044, 7318, 538, 1312, 772, 2529, 269, 13108, 543, 13149, 17620, 2361, 5751, 269, 1280, 811, 1344, 267, 1289, 6424, 9466, 540, 17459, 6369, 693, 476, 20542, 268, 18684, 268, 4962, 275, 271, 610, 552, 17733, 1547, 0, 10666, 519, 5741, 454, 15253, 1563, 609, 519, 2665, 540, 782, 12320, 658, 543, 5127, 13702, 9055, 267, 519, 1353, 540, 15835, 4248, 9055, 593, 4672, 814, 4607, 2370, 3007, 267, 543, 8097, 960, 4080, 814, 5059, 593, 1507, 8397, 803, 663, 1359, 9055, 1547, 13870, 267, 4859, 267, 543, 3560, 540, 15835, 4248, 936, 4672, 568, 835, 540, 519, 2547, 24713, 1221, 3157, 593, 3047, 476, 543, 15835, 4248, 899, 9055, 723, 849, 1044, 6444, 593, 519, 3162, 24504, 540, 21419, 630, 821, 540, 21275, 779, 24262, 1070, 1141, 8933, 540, 5277, 15655, 1286, 557, 741, 1259, 998, 13792, 8916, 1547, 4197, 267, 519, 6384, 540, 15835, 4248, 9055, 568, 2629, 547, 3589, 519, 2557, 540, 4262, 1377, 4473, 538, 3210, 547, 2916, 1689, 543, 547, 1174, 2825, 2175, 593, 3063, 268, 614, 14111, 4703, 269, 631, 3881, 4248, 9055, 936, 4672, 1397, 1082, 2934, 849, 4767, 538, 782, 12320, 658, 543, 5127, 13702, 8933, 267, 971, 607, 31619, 806, 11486, 1513, 267, 936, 28702, 338, 267, 5679, 1157, 9557, 630, 4248, 17517, 1070, 2934, 26922, 547, 20801, 13063, 1813, 547, 8756, 18846, 9194, 267, 543, 18846, 2759, 32187, 269, 631, 3881, 4248, 9055, 849, 723, 1978, 2934, 602, 616, 2189, 269, 1280, 1383, 267, 8928, 949, 2333, 19654, 1256, 538, 519, 9000, 540, 29815, 2456, 610, 936, 1633, 2095, 1813, 547, 8143, 13621, 540, 519, 8756, 5127, 543, 6821, 543, 519, 1909, 540, 1463, 3859, 5982, 998, 519, 13576, 1216, 269, 901, 543, 824, 9259, 8200, 593, 2837, 27080, 543, 2095, 4162, 630, 324, 3052, 269, 3178, 267, 6991, 1070, 1851, 824, 4632, 267, 1711, 9055, 609, 1114, 1544, 845, 10641, 3098, 269, 901, 1788, 786, 1445, 593, 7114, 519, 512, 6235, 2798, 3743, 585, 873, 269, 769, 19220, 540, 8441, 538, 10230, 3631, 543, 6552, 15392, 7207, 1496, 272, 267, 476, 276, 268, 277, 3910, 1007, 8047, 6901, 616, 1883, 547, 18663, 543, 19472, 3157, 1620, 540, 24101, 4048, 331, 18432, 15835, 4248, 8756, 8652, 323, 3428, 923, 543, 10641, 19392, 563, 288, 15501, 543, 20505, 281, 2414, 21656, 519, 5250, 543, 4720, 540, 15835, 4248, 9055, 936, 4672, 543, 2697, 512, 6235, 2798, 3743, 585, 1114, 1544, 845, 10641, 3098, 269, 3194, 786, 1445, 593, 912, 272, 264, 15043, 3209, 6901, 540, 2627, 15835, 4248, 8756, 5250, 607, 513, 1599, 540, 1114, 19527, 267, 1216, 268, 823, 2837, 27080, 543, 2095, 29702, 563, 273, 264, 18430, 532, 6552, 5464, 540, 8701, 543, 3063, 268, 614, 14111, 2627, 15835, 4248, 9055, 547, 22945, 1483, 8996, 1544, 845, 22762, 1845, 267, 1210, 1239, 689, 30673, 13329, 514, 601, 267, 715, 14505, 14924, 520, 543, 2362, 6571, 9682, 1239, 563, 274, 264, 15043, 12170, 543, 7811, 3631, 540, 15835, 4248, 13441, 689, 8756, 1544, 845, 9511, 543, 9386, 267, 3067, 4328, 1312, 1216, 268, 823, 2837, 27080, 543, 15835, 4248, 9295, 547, 4262, 7400, 4473, 563, 25842, 281, 763, 12854, 786, 1020, 1007, 29610, 15041, 2869, 673, 3631, 547, 8308, 1526, 1778, 2627, 15835, 4248, 9295, 547, 4262, 1377, 4473, 269, 16949, 540, 519, 8097, 960, 609, 9682, 5464, 786, 5512, 519, 12854, 547, 1020, 513, 1007, 4480, 547, 1469, 7851, 540, 1216, 268, 823, 2837, 27080, 543, 4672, 6656, 13621, 267, 20716, 563, 8450, 519, 7754, 528, 4821, 3896, 630, 10059, 2517, 3966, 528, 4821, 1673, 339, 335, 28482, 16896, 22812, 14142, 8276, 3881, 4248, 7302, 2335, 1564, 27492, 268, 823, 2389, 6235, 15304, 338, 16519, 13807, 534, 845, 2173, 6973, 1108, 7146, 17272, 1828, 270, 264, 585, 811, 1344, 593, 519, 5741, 267, 519, 8111, 6665, 800, 12243, 267, 2866, 543, 519, 2324, 1604, 563, 22923, 28483, 2791, 1058, 723, 513, 2178, 4282, 538, 835, 540, 519, 4143, 4110, 6030, 630, 10059, 2517, 3966, 528, 4821, 1673, 339, 335, 28482, 16896, 22812, 14142, 8276, 3881, 4248, 7302, 2335, 1564, 27492, 268, 823, 2389, 6235, 15304, 338, 16519, 13807, 534, 845, 2173, 6973, 1108, 7146, 17272, 1828, 270, 264, 630, 773, 596, 1058, 7363, 723, 267, 610, 2503, 547, 3489, 267, 693, 2547, 513, 476, 273, 281, 272, 12968, 2293, 4110, 630, 528, 3486, 6697, 630, 10059, 2517, 4178, 19544, 1638, 28482, 16896, 270, 577, 5366, 3620, 1638, 270, 13231, 344, 27408, 3620, 1638, 30032, 1181, 1049, 11305, 870, 787, 5498, 1105, 269, 5684, 343, 4297, 1916, 763, 3498, 21120, 568, 13638, 476, 276, 628, 5130, 476, 1708, 272, 267, 543, 11042, 786, 1491, 1747, 538, 3735, 5988, 563, 8923, 1294, 519, 7754, 528, 4821, 3896, 630, 8698, 19534, 264, 585, 2407, 1344, 593, 7616, 543, 875, 547, 4019, 563, 3963, 711, 1039, 513, 5048, 1934, 454, 17780, 593, 707, 1699, 19707, 649, 4363, 519, 1739, 3406, 12086, 563, 17780, 593, 707, 1699, 3406, 7355, 649, 2219, 596, 1522, 581, 5461, 538, 891, 269, 0, 7230, 913, 14255, 689, 1239, 538, 678, 20438, 1310, 7421, 519, 1062, 8638, 519, 1592, 540, 17161, 1644, 543, 519, 1592, 540, 7270, 609, 1644, 1543, 267, 538, 1840, 596, 666, 1294, 799, 17161, 1034, 5461, 5561, 593, 519, 713, 3896 ]

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

[ 18950, 274, 1422, 9392, 476, 1015, 20972, 1015, 348, 815, 476, 274, 269, 271, 17910, 9387, 265, 10926, 13707, 717, 5183, 585, 782, 1614, 1296, 281, 1422, 8218, 9387, 265, 4153, 2765, 18950, 274, 269, 271, 1341, 476, 273, 269, 28803, 1341, 476, 273, 269, 5379, 278, 20972, 274, 348, 815, 476, 273, 269, 276, 4281, 17910, 9387, 265, 10926, 2252, 713, 2875, 1185, 782, 645, 779, 538, 1010, 1422, 8218, 9387, 15857, 1556, 3867, 628, 4153, 754, 9387, 15857, 3446, 1032, 267, 646, 9327, 1406, 1118, 519, 10421, 269, 2913, 779, 2119, 547, 1294, 1018, 1010, 1422, 8218, 9387, 15857, 1556, 3867, 628, 4153, 754, 9387, 15857, 3446, 1032, 717, 5183, 1131, 723, 547, 581, 538, 1931, 547, 1118, 519, 5934, 717, 5183, 10421, 1210, 606, 8635, 780, 13707, 717, 5183, 585, 782, 1614, 1296, 281, 1422, 8218, 9387, 265, 4153, 2765, 18950, 343, 1341, 476, 273, 269, 28803, 1341, 476, 273, 269, 5379, 278, 20972, 274, 348, 1422, 613, 476, 274, 269, 271, 17910, 9387, 15857, 1577, 1422, 8218, 9387, 15857, 343, 17910, 9387, 15857, 2099, 1422, 8218, 9387, 15857, 1556, 3867, 628, 4153, 754, 9387, 15857, 3446, 779, 717, 5183, 692, 17961, 9387, 265, 4153, 2765, 18950, 343, 1341, 476, 275, 269, 278, 3374, 20972, 274, 348, 1299, 315, 613, 476, 274, 269, 271, 11138, 1535, 1341, 476, 275, 269, 278, 3374, 1299, 315, 613, 476, 280, 11138, 1535, 1299, 315, 613, 476, 275, 269, 25228, 17910, 9387, 265, 10926, 1607, 1797, 602, 713, 2875, 779, 717, 5183, 585, 1422, 8218, 9387, 15857, 1556, 3867, 628, 4153, 754, 9387, 15857, 3446, 1032, 1131, 723, 547, 581, 693, 2547, 476, 275, 269, 25228, 269, 1684, 596, 1589, 713, 568, 2009, 286, 4208, 610, 1946, 711, 286, 630, 9616, 281, 1403, 1164, 1153, 1053, 1491, 5049, 693, 513, 2146, 2852, 610, 606, 11628, 9255, 618, 1576, 267, 646, 24172, 666, 7118, 606, 3606, 476, 272, 1448, 585, 741, 3803, 9344, 269, 1775, 4318, 269, 589, 968, 289, 892, 3446, 1131, 1205, 7229, 883, 519, 717, 5183, 607, 476, 275, 269, 271, 3079, 540, 476, 274, 269, 271, 24355, 2162, 22362, 27148, 692, 2252, 596, 616, 1164, 1153, 2875, 267, 2259, 12719, 1018, 9344, 596, 1058, 7118, 538, 1931, 547, 1205, 513, 5934, 10421, 717, 5183, 547, 1205, 883, 513, 1880, 6280, 540, 3903, 269, 6733, 593, 519, 6280, 779, 3896, 256, 3962, 6280, 779, 4170, 616, 1114, 2439, 2162, 11872, 270, 11947, 7547, 11109, 8373, 286, 7797, 606, 3390, 780, 21760, 31209, 539, 7956, 11872, 0, 10574, 5851, 1923, 4569, 11762, 1923, 5113, 11762, 1923, 11762, 19336, 1923, 9457, 5903, 1923, 6435, 454, 8281, 519, 4578, 4578, 5590, 1948, 30203, 6168, 519, 4578, 7348, 519, 4578, 6435, 609, 4635, 4578, 7591, 609, 519, 1239, 593, 6465, 24979, 4875, 692, 7883, 547, 5440, 692, 10666, 519, 4578, 692, 5723, 27345, 645, 7495, 312, 25723, 20846, 966, 8991, 4785, 645, 6938, 2562, 25723, 20846, 5508, 631, 4456, 300, 28940, 692, 18693, 6248, 338, 568, 519, 11050, 2079, 540, 23835, 21925, 9497, 1993, 610, 11341, 547, 1272, 4783, 610, 1646, 8442, 6724, 971, 607, 4463, 267, 2597, 267, 3337, 267, 19916, 267, 2085, 267, 3092, 269, 4437, 6248, 338, 568, 835, 1883, 547, 1620, 2208, 540, 2043, 609, 942, 269, 4437, 6248, 338, 666, 849, 581, 4294, 547, 2516, 540, 7103, 630, 7945, 607, 513, 2551, 540, 19958, 535, 597, 4054, 267, 610, 782, 17984, 267, 610, 782, 11864, 264, 547, 2744, 4030, 883, 4909, 3741, 540, 2208, 610, 2623, 538, 1346, 2516, 780, 5472, 2581, 543, 595, 545, 3832, 26152, 630, 3192, 277, 264, 1683, 1239, 593, 1560, 2597, 630, 514, 13532, 264, 543, 7222, 2634, 2597, 630, 514, 10101, 264, 585, 476, 7830, 1114, 18714, 11864, 630, 7224, 16385, 1040, 4841, 1058, 2243, 519, 2495, 540, 891, 8424, 540, 2338, 5612, 269, 1280, 1383, 267, 972, 568, 1152, 835, 6292, 540, 2338, 585, 3425, 269, 1772, 713, 513, 2582, 3611, 636, 540, 513, 2582, 1480, 286, 1772, 713, 519, 1611, 540, 1082, 7403, 286, 6196, 610, 1762, 267, 5256, 610, 4775, 267, 1134, 10480, 610, 4731, 333, 712, 1639, 286, 634, 834, 16058, 257, 538, 519, 3349, 22179, 476, 7830, 13532, 610, 476, 15793, 6550, 282, 568, 713, 11347, 286, 769, 1840, 267, 891, 1239, 941, 711, 6394, 676, 513, 2582, 31375, 267, 6862, 941, 789, 6394, 538, 519, 1482, 6073, 267, 5310, 4946, 6988, 780, 763, 2418, 540, 1560, 2597, 2039, 936, 476, 277, 9753, 540, 9588, 269, 1677, 2099, 1239, 609, 971, 513, 2647, 2039, 540, 2418, 593, 513, 2582, 3113, 3340, 17969, 916, 269, 634, 4729, 540, 2845, 1560, 2597, 8957, 2845, 2634, 2597, 2982, 513, 2178, 2318, 9756, 267, 607, 547, 581, 4397, 780, 288, 5276, 9695, 998, 519, 2845, 2000, 690, 1239, 814, 513, 9425, 1164, 9756, 11664, 267, 11021, 513, 1434, 3514, 540, 513, 1379, 1876, 547, 519, 3312, 9497, 684, 8421, 3022, 8442, 1239, 269, 634, 9386, 540, 713, 1899, 568, 1447, 982, 476, 272, 267, 10834, 513, 4756, 5223, 540, 1560, 547, 2634, 2597, 607, 513, 1599, 540, 2450, 540, 519, 25850, 269, 634, 20800, 1447, 982, 476, 272, 6920, 602, 1507, 11864, 723, 5266, 1804, 12058, 3379, 547, 1560, 2450, 267, 4440, 1317, 789, 723, 5266, 1804, 9843, 780, 8601, 2921, 519, 2845, 540, 1312, 4632, 267, 513, 1804, 2179, 540, 14649, 3788, 269, 4935, 519, 1655, 3514, 1379, 1876, 547, 891, 1239, 786, 711, 723, 1454, 16762, 1871, 282, 835, 1131, 711, 946, 713, 12170, 2078, 547, 3589, 2634, 2597, 540, 513, 25850, 585, 799, 1152, 1560, 2597, 729, 1634, 269, 2659, 12605, 1522, 581, 1055, 676, 606, 1931, 540, 9588, 610, 811, 780, 300, 2459, 1023, 602, 4729, 1657, 519, 1655, 3514, 1899, 723, 5266, 1804, 12058, 585, 741, 1560, 2450, 282, 22171, 267, 16403, 1186, 267, 3777, 2692, 976, 543, 3425, 782, 4729, 1134, 1657, 519, 1899, 269, 1656, 538, 2013, 596, 2811, 4743, 1159, 1872, 267, 865, 798, 2666, 25277, 269, 634, 1566, 1601, 636, 8813, 1134, 2630, 519, 1899, 780, 2005, 1131, 581, 4277, 547, 1294, 1239, 585, 513, 2582, 2249, 267, 971, 607, 31352, 4925, 610, 17544, 780, 27270, 281, 2353, 2581, 267, 570, 269, 543, 595, 545, 3832, 26152, 267, 667, 269, 966, 269, 630, 3192, 277, 1070, 12619, 538, 11864, 281, 8733, 543, 13338, 31426, 282, 3163, 267, 642, 269, 476, 3707, 267, 6032, 269, 476, 278, 3953, 268, 278, 4097, 780, 7883, 547, 5440, 692, 8698, 519, 4578, 692, 2353, 2581, 1696, 620, 630, 3192, 277, 1070, 11864, 2634, 543, 1560, 2597, 1560, 530, 339, 4846, 2634, 530, 339, 575, 2845, 1560, 2845, 2634, 476, 277, 4792, 275, 269, 1822, 476, 6872, 272, 273, 269, 876, 476, 274, 269, 11025, 476, 274, 269, 10602, 476, 272, 269, 1822, 476, 277, 269, 2568, 476, 271, 269, 876, 476, 271, 269, 11025, 476, 274, 269, 4343, 276, 476, 4510, 269, 2004, 476, 271, 269, 7871, 476, 272, 269, 4792, 476, 271, 269, 280, 736, 476, 276, 269, 3583, 910, 271, 269, 6860, 476, 271, 269, 10602, 476, 22724, 278, 269, 1822, 476, 29121, 274, 269, 876, 476, 274, 269, 6078, 476, 274, 269, 5780, 476, 1015, 269, 20862, 476, 9692, 269, 2004, 476, 272, 269, 6349, 476, 273, 269, 1839, 476, 271, 269, 271, 2537, 476, 271, 269, 1789, 910, 272, 269, 5038, 910, 271, 269, 7367, 476, 8182, 269, 1822, 476, 15433, 269, 876, 476, 273, 269, 736, 476, 273, 269, 2537, 476, 274, 269, 4968, 476, 1839, 269, 2568, 476, 271, 269, 7367, 476, 272, 269, 6078, 476, 7367, 269, 8182, 476, 24496, 269, 876, 476, 272, 269, 7761, 476, 273, 269, 5038, 476, 271, 269, 28883, 476, 277, 269, 2412, 910, 271, 269, 4391, 476, 271, 269, 10037, 476, 275, 4792, 269, 1822, 476, 275, 2537, 269, 876, 476, 273, 269, 6858, 476, 273, 269, 8287, 476, 271, 269, 20862, 476, 273, 269, 2412, 910, 271, 269, 2918, 476, 271, 269, 4343, 476, 6942, 269, 1911, 476, 275, 866, 269, 876, 476, 273, 269, 2767, 476, 273, 269, 7830, 476, 271, 269, 271, 4037, 476, 272, 269, 736, 910, 272, 269, 1321, 476, 271, 269, 5400, 476, 274, 269, 1822, 476, 1839, 269, 876, 476, 271, 269, 4366, 476, 272, 269, 2412, 476, 271, 269, 4281, 276, 476, 274, 269, 2004, 910, 271, 269, 1556, 476, 271, 269, 7918, 476, 271, 269, 1220, 476, 276, 269, 876, 910, 271, 269, 3583, 476, 271, 269, 3583, 476, 272, 269, 25148, 476, 1704, 269, 2004, 476, 271, 269, 1428, 476, 272, 269, 2190, 476, 2568, 269, 1822, 476, 10037, 269, 876, 476, 272, 269, 4281, 476, 272, 269, 11011, 476, 276, 3066, 269, 1822, 476, 27151, 269, 876, 476, 273, 269, 7761, 476, 273, 269, 10695, 476, 2767, 269, 32133, 476, 12893, 269, 876, 476, 272, 269, 4510, 476, 273, 269, 6187, 476, 271, 269, 6344, 476, 272, 269, 876, 910, 271, 269, 10844, 476, 271, 269, 876, 476, 21709, 269, 1822, 476, 32076, 269, 876, 476, 273, 269, 3953, 476, 273, 269, 8618, 476, 5952, 269, 1822, 476, 23283, 269, 876, 476, 272, 269, 11152, 476, 273, 269, 7906, 476, 3607, 269, 20065, 476, 15686, 269, 2004, 476, 272, 269, 6321, 476, 273, 269, 5400, 476, 271, 269, 6200, 476, 275, 269, 876, 910, 272, 269, 876, 476, 271, 269, 2568, 476, 272, 269, 31239, 476, 276, 269, 2004, 476, 271, 269, 6349, 476, 271, 269, 10619, 476, 276, 2641, 269, 1822, 476, 277, 4649, 269, 876, 476, 273, 269, 7761, 476, 273, 269, 11025, 476, 1911, 269, 1822, 476, 14991, 269, 876, 476, 273, 269, 876, 476, 273, 269, 736, 476, 3374, 269, 1822, 476, 6321, 269, 876, 476, 272, 269, 7918, 476, 272, 269, 4037, 476, 271, 269, 22650, 476, 271, 269, 1691, 910, 273, 269, 1789, 910, 271, 269, 5952, 476, 271, 269, 18089, 476, 271, 269, 1839, 910, 273, 269, 876, 910, 271, 269, 2568, 476, 7830, 269, 1822, 476, 15171, 271, 269, 876, 476, 272, 269, 8064, 476, 274, 269, 1321, 476, 271, 269, 14338, 476, 274, 269, 876, 910, 271, 269, 11011, 476, 271, 269, 4366, 476, 272, 269, 12573, 476, 279, 269, 1015, 476, 271, 269, 1724, 476, 271, 269, 11011, 476, 271, 269, 271, 2537, 476, 271, 269, 2412, 910, 272, 269, 5038, 910, 271, 269, 2412, 476, 271, 269, 271, 4366, 476, 271, 269, 3451, 910, 272, 269, 3953, 910, 271, 269, 4366, 476, 272, 269, 10384, 476, 277, 269, 1789, 476, 271, 269, 2537, 476, 271, 269, 3199, 476, 274, 269, 4335, 476, 1015, 269, 3199, 476, 271, 269, 7918, 476, 272, 269, 6734, 476, 7742, 269, 1822, 476, 275, 3445, 269, 876, 476, 273, 269, 2412, 476, 273, 269, 7597, 476, 271, 269, 21878, 476, 1428, 269, 2004, 910, 271, 269, 3953, 476, 272, 269, 866, 476, 1015, 269, 1822, 476, 12893, 269, 876, 476, 272, 269, 876, 476, 273, 269, 6187, 476, 272, 269, 30663, 476, 1556, 269, 2412, 476, 271, 269, 2641, 476, 272, 269, 6187, 476, 4572, 269, 1822, 476, 5197, 269, 876, 476, 273, 269, 2764, 476, 273, 269, 2918, 476, 273, 269, 4335, 476, 1321, 269, 1015, 476, 271, 269, 2412, 476, 272, 269, 5400, 476, 275, 269, 25971, 476, 4375, 269, 736, 476, 271, 269, 8287, 476, 272, 269, 6795, 476, 271, 269, 18231, 476, 272, 269, 3445, 910, 271, 269, 4649, 476, 271, 269, 2764, 476, 275, 269, 20720, 476, 2004, 269, 2412, 476, 271, 269, 8287, 476, 272, 269, 3583, 476, 277, 269, 8517, 476, 9692, 269, 876, 476, 271, 269, 10695, 476, 273, 269, 1839, 476, 271, 269, 16020, 476, 1321, 269, 1789, 910, 271, 269, 1321, 476, 272, 269, 6021, 476, 274, 269, 7785, 476, 2641, 269, 876, 476, 271, 269, 6321, 476, 272, 269, 3953, 476, 10695, 269, 1822, 476, 7176, 269, 736, 476, 272, 269, 10844, 476, 272, 269, 4200, 476, 4649, 269, 4335, 476, 11260, 269, 876, 476, 272, 269, 10619, 476, 273, 269, 2190, 476, 272, 269, 6110, 476, 1321, 269, 2004, 476, 271, 269, 1428, 476, 272, 269, 1015, 476, 271, 269, 271, 2568, 476, 272, 269, 876, 910, 272, 269, 2420, 476, 271, 269, 876, 476, 271, 269, 12010, 476, 273, 269, 2568, 910, 271, 269, 4962, 476, 271, 269, 6078, 476, 273, 269, 1822, 476, 1321, 269, 1789, 476, 271, 269, 1789, 476, 272, 269, 6021, 476, 271, 269, 10441, 476, 273 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 563, 268, 10089, 321, 654, 571, 6137, 281, 634, 9018, 4494, 540, 519, 13342, 15941, 1058, 3819, 267, 1247, 519, 6418, 3382, 13978, 5848, 1107, 621, 779, 942, 547, 7556, 2336, 268, 7233, 674, 10008, 720, 281, 17786, 335, 16714, 1299, 5323, 14563, 3762, 1611, 15657, 563, 268, 7033, 532, 281, 476, 3445, 1107, 476, 6344, 2395, 1310, 9544, 4266, 563, 19604, 4034, 532, 568, 1152, 519, 4098, 256, 7743, 7829, 2553, 616, 2556, 547, 2226, 519, 13342, 779, 15325, 269, 1656, 3314, 1107, 1810, 1406, 7556, 936, 686, 701, 13342, 267, 610, 621, 949, 17708, 339, 2038, 1282, 4859, 563, 309, 2086, 2231, 543, 1979, 17871, 6705, 917, 519, 2956, 540, 13342, 1107, 621, 8952, 3025, 693, 513, 2922, 3845, 2336, 19604, 4034, 532, 12275, 997, 538, 4437, 17871, 28524, 13756, 454, 18693, 17871, 8105, 666, 1764, 519, 6492, 543, 2298, 540, 13342, 269, 1677, 1205, 519, 1655, 6556, 543, 1494, 1890, 267, 596, 991, 547, 7556, 13342, 609, 13657, 269, 3371, 779, 875, 912, 268, 1879, 519, 3762, 1376, 547, 6960, 267, 621, 779, 942, 547, 7556, 563, 268, 28528, 2007, 1472, 519, 15941, 609, 513, 23643, 610, 15524, 767, 267, 711, 14124, 621, 563, 268, 670, 836, 519, 15620, 26700, 1524, 585, 1614, 4374, 267, 1287, 4558, 538, 513, 3579, 267, 3819, 1747, 563, 18693, 17871, 8105, 2115, 9639, 543, 1416, 2429, 1142, 1900, 1107, 9544, 267, 14237, 267, 543, 16276, 269, 901, 1259, 267, 707, 13342, 786, 581, 2407, 540, 8137, 543, 1072, 2640, 563, 3682, 17785, 281, 4495, 596, 4076, 19122, 13342, 267, 17967, 707, 7031, 269, 901, 13515, 3676, 689, 2679, 909, 538, 519, 3037, 676, 4657, 1141, 1114, 2371, 616, 6738, 563, 16605, 707, 13342, 4195, 543, 707, 14326, 1164, 609, 891, 1979, 17871, 4859, 15361, 2336, 1805, 1681, 12275, 997, 538, 4437, 17871, 28524, 454, 2414, 2327, 707, 13342, 568, 6740, 7157, 538, 1979, 17871, 8105, 267, 596, 991, 547, 917, 519, 1318, 2409, 269, 27686, 543, 15018, 707, 13342, 568, 519, 1101, 1900, 547, 2327, 922, 15325, 269, 11374, 713, 267, 596, 991, 547, 917, 519, 1114, 2409, 585, 1697, 4859, 540, 13342, 538, 1979, 17871, 8105, 563, 27662, 532, 543, 667, 11538, 12275, 997, 538, 4437, 17871, 28524, 454, 2005, 779, 942, 547, 1205, 3860, 609, 707, 13342, 256, 4437, 17871, 8105, 3091, 2027, 2553, 585, 7738, 543, 13936, 13342, 269, 3371, 779, 875, 912, 268, 28610, 281, 1879, 519, 15620, 2490, 5835, 267, 621, 779, 942, 547, 4584, 873, 563, 268, 11162, 281, 17179, 519, 13897, 609, 513, 2571, 1532, 2077, 548, 11453, 610, 707, 11263, 563, 268, 16959, 281, 20233, 873, 856, 593, 513, 17450, 26745, 610, 13793, 538, 1507, 536, 31708, 538, 513, 1134, 268, 1203, 23624, 1858, 269, 2913, 873, 3819, 585, 1079, 547, 1614, 4374, 563, 268, 15188, 281, 10925, 519, 12015, 13342, 538, 513, 3579, 267, 3819, 1747, 543, 621, 3580, 2063, 909, 547, 3670, 3275, 563, 289, 517, 639, 281, 4437, 17871, 8105, 3096, 11003, 21339, 547, 1118, 2371, 3063, 8770, 11656, 543, 2635, 269, 9578, 267, 621, 779, 4264, 2336, 29222, 5517, 281, 9147, 21072, 1031, 13342, 585, 1426, 543, 4915, 267, 543, 1256, 3909, 18428, 2336, 10287, 1979, 17871, 2409, 547, 1832, 707, 13342, 4195, 543, 707, 14326, 1164, 2336, 32325, 585, 7743, 19554, 540, 12275, 997, 538, 4437, 17871, 28524, 454, 15430, 6326, 13342, 568, 4105, 547, 1832, 621, 4195, 543, 3514, 585, 1979, 17871, 8105, 269, 3371, 616, 930, 4388, 912, 268, 15188, 873, 538, 513, 5887, 23624, 8708, 267, 585, 2011, 10009, 563, 268, 9255, 873, 538, 513, 3819, 1858, 610, 513, 11127, 267, 865, 1100, 7509, 4991, 538, 563, 268, 5901, 873, 538, 513, 3579, 267, 4158, 1747, 563, 268, 2913, 873, 840, 11546, 5139, 3433, 585, 476, 2190, 3108, 1354, 13936, 563, 268, 9484, 26147, 15620, 689, 804, 7174, 563, 268, 15147, 519, 15620, 609, 5958, 547, 2149, 873, 563, 293, 565, 16161, 814, 621, 602, 5329, 13342, 2282, 19790, 784, 14993, 610, 824, 20521, 2371, 786, 948, 1832, 922, 8137, 269, 2368, 1256, 2161, 602, 7599, 9979, 543, 10785, 1404, 513, 1909, 563, 3080, 16027, 3838, 741, 4859, 1505, 281, 24590, 519, 15620, 883, 804, 7174, 543, 13936, 873, 538, 14462, 3282, 538, 4837, 30660, 269, 901, 267, 789, 1767, 267, 8952, 741, 13342, 4195, 585, 3275, 2336, 18693, 17871, 8105, 5849, 513, 5812, 3761, 540, 4195, 267, 8949, 13342, 1107, 543, 1100, 30632, 2231, 563, 6962, 543, 11588, 540, 31896, 12275, 997, 538, 4437, 17871, 28524, 454, 294, 541, 997, 31896, 543, 4437, 17871, 28524, 1107, 11588, 8895, 648, 2336, 5522, 13589, 13342, 1210, 1979, 17871, 2409, 6770, 1082, 5383, 269, 2913, 779, 2263, 873, 912, 268, 12275, 997, 779, 2067, 21734, 3601, 948, 1852, 10860, 543, 3676, 538, 519, 3037, 563, 268, 4437, 17871, 8105, 5849, 3037, 568, 16138, 1639, 609, 1898, 5567, 547, 3132, 1164, 7779, 13342, 563, 268, 4437, 17871, 21339, 2061, 3037, 22930, 267, 2333, 9265, 267, 543, 2087, 2030, 6043, 563, 268, 14606, 1072, 568, 8476, 267, 3056, 547, 1279, 3856, 6940, 543, 4389, 5533, 563, 268, 4400, 11729, 267, 1732, 6492, 267, 543, 2799, 4859, 1272, 1267, 689, 713, 1505, 563, 31936, 267, 621, 779, 4443, 547, 2226, 607, 621, 3340, 7864, 11378, 982, 2757, 2409, 269, 1677, 2327, 513, 3811, 7693, 2208, 4783, 267, 6451, 713, 1935, 883, 2834, 4677, 5826, 563, 3682, 17785, 281, 7233, 707, 13342, 950, 5210, 543, 7509, 616, 6099, 585, 2208, 563, 21761, 18542, 5999, 454, 304, 281, 1879, 568, 519, 1655, 942, 547, 2030, 13342, 585, 1979, 17871, 8105, 888, 288, 281, 634, 1655, 942, 547, 2030, 13342, 585, 1979, 17871, 8105, 568, 538, 519, 2887, 267, 23295, 476, 273, 268, 275, 4374, 1354, 519, 1101, 2182, 15470, 563, 304, 281, 1548, 1826, 540, 3037, 568, 1655, 585, 9544, 13342, 888, 288, 281, 12275, 997, 9428, 1655, 538, 1134, 1673, 11712, 3037, 602, 568, 3638, 538, 5214, 2339, 267, 609, 513, 9063, 1063, 476, 277, 269, 271, 543, 476, 278, 269, 271, 563, 304, 281, 1548, 3099, 540, 13342, 568, 1655, 585, 1979, 17871, 8105, 888, 288, 281, 1703, 616, 1082, 8677, 540, 13342, 602, 616, 5078, 585, 1979, 17871, 8105, 267, 855, 930, 2442, 3283, 1331, 4436, 6519, 267, 8535, 267, 543, 4414, 1677, 577, 563, 304, 281, 1215, 2620, 1058, 594, 2030, 13342, 804, 7174, 888, 288, 281, 12275, 997, 804, 7174, 1058, 581, 12630, 827, 476, 273, 6279, 2620, 543, 22274, 827, 476, 277, 6279, 6306, 563, 304, 281, 1215, 1419, 1058, 594, 1216, 13342, 888, 288, 281, 12275, 997, 1058, 581, 530, 23926, 5781, 267, 855, 711, 936, 2914, 23926, 269, 4826, 532, 2899, 513, 3018, 568, 2356, 6190, 267, 855, 713, 949, 4268, 4470, 593, 4365, 2175, 563, 304, 281, 1879, 568, 519, 1655, 942, 547, 7556, 13342, 888, 288, 281, 12275, 997, 568, 2356, 4712, 547, 7556, 538, 519, 4832, 267, 950, 519, 3762, 1376, 547, 2490, 6960, 543, 3819, 269, 898, 779, 1271, 547, 7556, 13342, 1354, 519, 3762, 4625, 3819, 856, 267, 607, 713, 666, 1860, 519, 2298, 540, 519, 804, 7174, 269, 0, 289, 659, 30249, 1395, 333, 1512, 328, 568, 849, 1634, 607, 4173, 335, 652, 529, 1395, 333, 1512, 320, 267, 12725, 2442, 607, 23347, 14741, 610, 808, 23750, 574, 9346, 538, 3127, 269, 898, 568, 4922, 1726, 25979, 607, 519, 2413, 1242, 10786, 602, 729, 1031, 676, 25072, 545, 2564, 9439, 585, 827, 476, 274, 267, 1822, 1296, 630, 300, 4157, 615, 329, 2465, 543, 1546, 344, 267, 476, 3422, 277, 1040, 763, 10786, 568, 1336, 782, 936, 519, 4095, 1016, 29657, 538, 1216, 344, 543, 32761, 344, 4025, 630, 301, 611, 330, 7568, 328, 543, 24385, 330, 7568, 328, 267, 476, 3192, 277, 1040, 1280, 5553, 267, 519, 10786, 814, 1044, 1031, 538, 25072, 545, 2564, 1062, 607, 513, 10444, 1418, 25579, 8718, 267, 2634, 543, 3556, 3999, 4577, 267, 7393, 3965, 1379, 267, 543, 607, 1884, 773, 335, 850, 10364, 5061, 543, 606, 24196, 656, 630, 8072, 289, 659, 30249, 1395, 333, 1512, 320, 269, 3933, 1748, 8730, 476, 1220, 275, 282, 932, 641, 571, 1696, 620, 1421, 476, 4198, 277, 1040, 634, 1100, 32430, 3252, 540, 645, 659, 30249, 814, 1044, 4330, 543, 6594, 14916, 593, 3965, 543, 17133, 630, 298, 784, 651, 1177, 1696, 620, 1421, 476, 1001, 275, 282, 3026, 1446, 1696, 620, 1421, 476, 1001, 274, 1040, 634, 1292, 7135, 602, 616, 3743, 585, 519, 14278, 1670, 2360, 540, 519, 10786, 1331, 10322, 11169, 267, 18682, 517, 1231, 267, 543, 30175, 6950, 267, 1247, 824, 30175, 6950, 899, 15522, 543, 1200, 335, 32347, 723, 1044, 4080, 630, 2419, 641, 571, 1696, 620, 1421, 476, 4198, 277, 282, 20144, 1177, 534, 267, 476, 1001, 276, 1040, 898, 814, 1044, 1336, 602, 519, 1292, 3114, 7623, 3743, 585, 5778, 874, 29108, 1670, 2360, 267, 5042, 19349, 267, 543, 1884, 3554, 333, 4382, 1198, 540, 519, 10786, 568, 536, 659, 657, 728, 589, 267, 8655, 607, 476, 274, 24179, 320, 6441, 268, 541, 629, 514, 4878, 3757, 657, 2643, 9984, 302, 1532, 5937, 25322, 1075, 4878, 3757, 657, 728, 268, 1015, 267, 476, 736, 26817, 5139, 32611, 268, 1626, 268, 8208, 334, 1673, 2459, 541, 268, 2190, 268, 2940, 630, 294, 889, 321, 2335, 822, 541, 1696, 620, 1421, 476, 1001, 274, 1916, 294, 719, 568, 513, 2068, 3361, 676, 519, 5786, 538, 579, 878, 3679, 608, 17917, 1813, 547, 4524, 538, 1625, 710, 10307, 799, 568, 13251, 2901, 676, 9715, 610, 4719, 2188, 269, 21418, 579, 878, 3679, 538, 519, 1973, 267, 22775, 885, 538, 519, 10549, 267, 543, 5312, 30456, 344, 12263, 616, 519, 2564, 4162, 540, 30456, 269, 2060, 519, 3384, 2713, 4441, 267, 519, 2392, 7631, 766, 540, 713, 2068, 814, 2919, 7930, 263, 2419, 559, 28385, 1696, 620, 1421, 476, 1001, 271, 1040, 717, 719, 344, 12263, 630, 16598, 264, 568, 513, 11213, 2783, 1813, 547, 16358, 1436, 540, 2712, 622, 538, 10549, 543, 2571, 5160, 267, 4611, 538, 519, 15038, 540, 579, 878, 3679, 538, 519, 1560, 630, 289, 327, 753, 532, 1696, 620, 1421, 476, 1001, 271, 1040, 6168, 476, 279, 269, 274, 2929, 540, 4587, 2367, 543, 2021, 941, 6059, 547, 723, 1044, 4299, 538, 7330, 630, 313, 16852, 1696, 620, 1421, 476, 1001, 272, 1040, 21781, 952, 2451, 15860, 267, 5012, 547, 513, 5312, 3942, 6353, 676, 6024, 6553, 543, 7298, 1395, 657, 18754, 2712, 622, 630, 5960, 308, 264, 13250, 1634, 607, 547, 12978, 267, 4611, 538, 8628, 3441, 540, 519, 10549, 267, 11761, 538, 5642, 267, 543, 1713, 9659, 630, 2710, 615, 1399, 1696, 620, 1421, 476, 1001, 273, 282, 26548, 2867, 974, 543, 645, 731, 514, 267, 476, 1001, 271, 1040, 634, 2359, 540, 21781, 568, 547, 2061, 1007, 12627, 5250, 543, 547, 23271, 519, 4540, 12627, 267, 799, 568, 25189, 676, 1210, 2712, 622, 268, 869, 1359, 3797, 6322, 585, 5329, 909, 519, 16796, 579, 878, 3679, 2630, 519, 25294, 1448, 585, 9049, 308, 269, 634, 19183, 616, 6417, 676, 1210, 4550, 13611, 3797, 267, 1519, 1875, 268, 3122, 18042, 4550, 13611, 5061, 630, 301, 6347, 31312, 1070, 29416, 8803, 6950, 267, 543, 897, 577, 21778, 630, 313, 28702, 1696, 620, 1421, 476, 1220, 277, 1040, 4014, 891, 5061, 616, 2500, 267, 1082, 2550, 609, 21781, 616, 1336, 547, 723, 4713, 1813, 547, 21781, 6527, 543, 17047, 15333, 785, 10716, 547, 519, 5781, 2139, 6527, 630, 2419, 340, 836, 1696, 620, 1421, 476, 1001, 272, 282, 3223, 523, 534, 1696, 620, 1421, 476, 1001, 272, 1040, 898, 814, 849, 1044, 1336, 602, 930, 2550, 3111, 547, 4431, 543, 5924, 616, 538, 1260, 680, 5050, 547, 519, 2139, 3044, 4550, 13611, 2126, 3056, 547, 519, 6988, 540, 4509, 30456, 344, 1166, 4100, 269, 968, 11795, 2159, 547, 1521, 892, 21781, 616, 1346, 2550, 609, 7368, 30456, 344, 1166, 4100, 585, 7247, 897, 577, 545, 1149, 267, 715, 6347, 10680, 543, 29416, 8803, 6950, 3112, 581, 1031, 585, 519, 2126, 630, 10468, 690, 328, 267, 476, 1001, 271, 282, 1924, 1696, 620, 1421, 476, 1001, 271, 282, 5576, 956, 5424, 267, 476, 1001, 272, 1040, 21781, 7620, 568, 519, 13350, 11271, 585, 2367, 607, 1395, 334, 691, 7781, 12263, 543, 538, 2021, 607, 23731, 334, 691, 7781, 12263, 538, 2022, 22797, 543, 7766, 1166, 4100, 538, 2367, 269, 769, 2367, 267, 1395, 334, 691, 7781, 12263, 543, 538, 4775, 267, 23731, 334 ]

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

[ 26676, 7261, 3913, 564, 16125, 9553, 1055, 519, 10656, 5032, 563, 268, 476, 1704, 4728, 910, 2160, 540, 4993, 267, 20588, 3173, 14773, 519, 5137, 540, 3693, 476, 7176, 799, 789, 723, 3957, 834, 5632, 4613, 1756, 8487, 268, 476, 736, 4728, 910, 6554, 540, 12996, 16976, 547, 1476, 4593, 622, 519, 3959, 540, 519, 14470, 5939, 563, 268, 476, 2420, 4728, 910, 5527, 7569, 602, 6628, 4894, 782, 922, 10136, 538, 590, 22222, 22575, 563, 268, 476, 2537, 4728, 910, 476, 2420, 526, 9142, 22952, 16008, 454, 268, 476, 1428, 4989, 910, 32068, 3751, 2274, 641, 1245, 8633, 3045, 25555, 602, 646, 568, 4712, 547, 15995, 6510, 538, 12797, 540, 1010, 5067, 645, 7596, 537, 514, 563, 268, 476, 2190, 4989, 910, 16888, 18005, 24509, 525, 519, 4639, 7813, 563, 268, 476, 2767, 4989, 910, 18766, 22727, 281, 769, 3162, 4000, 267, 519, 6828, 19791, 2920, 568, 5293, 267, 18005, 5302, 2958, 908, 14797, 563, 268, 476, 2767, 4989, 910, 6628, 18005, 2369, 2478, 5840, 563, 268, 476, 277, 2904, 910, 834, 290, 1794, 514, 32574, 257, 538, 4884, 540, 595, 1794, 514, 630, 289, 657, 11844, 264, 1996, 19797, 989, 337, 4115, 15024, 563, 268, 476, 277, 2904, 910, 570, 3326, 1495, 2494, 568, 1336, 563, 268, 476, 280, 2904, 910, 7917, 5576, 3861, 6799, 1010, 11556, 585, 519, 5137, 540, 513, 3443, 26049, 13539, 799, 646, 11099, 547, 581, 16832, 547, 519, 5826, 540, 18385, 12560, 1894, 1063, 519, 1114, 6082, 540, 519, 11782, 269, 901, 11556, 267, 1634, 607, 519, 834, 5576, 3861, 17083, 2580, 568, 2808, 547, 581, 519, 4098, 540, 519, 5137, 540, 1018, 568, 1631, 519, 3864, 5742, 563, 268, 476, 280, 2904, 910, 700, 269, 27050, 16735, 321, 731, 32245, 667, 1014, 7497, 281, 634, 7073, 3163, 540, 10076, 2657, 563, 268, 476, 1556, 2904, 910, 918, 1030, 879, 591, 9730, 5873, 902, 827, 2475, 6896, 6760, 2253, 563, 268, 476, 1724, 2904, 910, 634, 1101, 5198, 538, 519, 22305, 1116, 674, 8656, 16754, 2290, 2622, 29073, 1222, 729, 4371, 693, 18234, 7723, 267, 4789, 563, 268, 476, 1691, 2904, 910, 634, 15391, 338, 6807, 8648, 8255, 519, 2212, 1467, 267, 834, 7804, 269, 13153, 4858, 684, 590, 904, 9412, 564, 4469, 2074, 25792, 547, 9855, 4799, 268, 476, 1839, 2904, 910, 27201, 5174, 19495, 20658, 6773, 568, 18005, 8118, 547, 6808, 563, 268, 476, 2767, 2904, 910, 700, 4883, 534, 332, 7564, 7288, 538, 18940, 568, 1930, 563, 268, 476, 3066, 2904, 910, 853, 269, 681, 5255, 267, 1101, 6928, 547, 2235, 4379, 3572, 622, 3345, 3013, 21128, 538, 16199, 604, 1314, 267, 25429, 32108, 563, 268, 476, 272, 4873, 910, 8575, 10044, 700, 10394, 6238, 21074, 532, 563, 268, 476, 274, 4873, 910, 3689, 607, 1417, 540, 7788, 777, 1248, 320, 594, 267, 476, 1015, 628, 5207, 7823, 538, 519, 1158, 563, 268, 476, 277, 4873, 910, 11894, 281, 634, 1520, 7315, 538, 12428, 568, 3656, 1242, 563, 268, 476, 279, 4873, 910, 11184, 7338, 2349, 877, 344, 3587, 519, 1152, 12197, 15794, 531, 538, 8241, 1686, 563, 268, 476, 2537, 4873, 910, 8575, 10044, 700, 10394, 13515, 21074, 532, 454, 268, 476, 1839, 4873, 910, 22073, 540, 11114, 2782, 281, 4892, 2253, 11876, 8973, 7727, 538, 2013, 540, 32311, 532, 543, 22520, 563, 268, 476, 2918, 4873, 910, 634, 3162, 3979, 12057, 10596, 519, 4675, 1833, 540, 4004, 1143, 2920, 267, 3143, 269, 476, 4510, 540, 476, 4198, 271, 563, 268, 476, 2764, 4873, 910, 11114, 2782, 910, 3345, 11114, 4229, 7001, 1530, 9567, 563, 268, 476, 3066, 4873, 910, 2136, 2276, 9396, 1846, 4789, 476, 272, 268, 271, 538, 519, 476, 4198, 271, 674, 9281, 288, 2622, 19067, 563, 268, 476, 1626, 5147, 910, 772, 2607, 340, 599, 10726, 8478, 476, 273, 268, 272, 547, 3094, 519, 476, 4198, 271, 2622, 19067, 563, 268, 476, 1704, 5147, 910, 634, 4675, 1833, 540, 4004, 1143, 2920, 267, 5293, 593, 4873, 476, 2918, 267, 2501, 883, 3196, 538, 3162, 4000, 563, 268, 476, 276, 4864, 910, 23509, 932, 611, 19213, 7669, 338, 2066, 2296, 19305, 538, 476, 1724, 3108, 267, 476, 2420, 3764, 563, 268, 476, 276, 4864, 910, 589, 10514, 2000, 23565, 645, 268, 3066, 8111, 3228, 816, 26301, 883, 513, 10821, 1858, 538, 4993, 281, 476, 1704, 4666, 267, 476, 6924, 13676, 563, 268, 476, 277, 4864, 910, 681, 3999, 538, 29761, 538, 16313, 626, 23405, 563, 268, 476, 279, 4864, 910, 12736, 8725, 26235, 7028, 2856, 540, 3443, 26049, 7952, 24027, 609, 4516, 543, 7330, 563, 268, 476, 1321, 4864, 910, 769, 1010, 2037, 7094, 673, 1412, 5274, 328, 9198, 529, 3299, 15352, 623, 3780, 2473, 2862, 32141, 4720, 547, 581, 513, 3978, 8367, 602, 1705, 711, 17591, 1898, 7826, 10752, 563, 268, 476, 1428, 4864, 910, 32495, 820, 543, 17160, 538, 2667, 600, 267, 3127, 281, 476, 6872, 275, 7972, 267, 476, 276, 267, 1822, 267, 1822, 5156, 15602, 563, 268, 476, 2420, 4864, 910, 7690, 540, 519, 8056, 659, 3634, 9839, 540, 6307, 12054, 2435, 267, 22105, 321, 1791, 534, 4975, 267, 13372, 563, 268, 476, 2537, 4864, 910, 26499, 776, 22256, 268, 18503, 6754, 7605, 525, 517, 267, 4171, 1780, 1636, 814, 5063, 1044, 2847, 12097, 1317, 540, 1010, 16957, 19797, 28930, 725, 267, 10742, 609, 772, 2529, 269, 8387, 538, 606, 4674, 547, 1205, 621, 5368, 26061, 269, 1261, 568, 28336, 267, 543, 621, 568, 711, 5368, 26061, 2394, 476, 4198, 279, 563, 268, 476, 275, 5181, 910, 11023, 28002, 17813, 3118, 568, 519, 3135, 540, 519, 22305, 1116, 8828, 476, 4335, 267, 519, 1101, 476, 4335, 28902, 7730, 290, 2752, 5198, 563, 268, 476, 275, 5181, 910, 2142, 564, 548, 13391, 13704, 13371, 14816, 3323, 563, 268, 476, 278, 5181, 910, 15021, 9553, 2458, 22663, 538, 1715, 595, 4379, 1442, 267, 10430, 910, 476, 1724, 19379, 4666, 269, 476, 14138, 11324, 4240, 563, 268, 476, 278, 5181, 910, 634, 3756, 6011, 18266, 610, 31664, 3181, 7491, 593, 8613, 563, 268, 476, 279, 5181, 910, 634, 16470, 13870, 2920, 568, 21892, 883, 1876, 538, 519, 772, 2529, 1421, 5935, 1977, 4108, 24931, 585, 519, 1985, 476, 2568, 1296, 563, 268, 476, 280, 5181, 910, 634, 772, 2529, 269, 1533, 540, 4993, 22842, 922, 1298, 27812, 16683, 563, 268, 476, 1321, 5181, 910, 19797, 27632, 1824, 538, 12670, 563, 268, 476, 1428, 5181, 910, 20466, 10136, 2244, 538, 769, 577, 517, 267, 13026, 676, 3345, 9705, 267, 547, 2253, 519, 11135, 540, 769, 577, 517, 563, 268, 476, 866, 5181, 910, 4639, 5125, 16976, 547, 1625, 613, 21340, 8387, 563, 268, 476, 2918, 5181, 910, 12868, 15861, 547, 519, 2136, 8315, 563, 268, 476, 2764, 5181, 910, 14105, 17659, 12064, 13847, 4583, 2110, 1650, 834, 763, 966, 15505, 339, 4840, 268, 476, 1789, 5181, 910, 715, 17092, 268, 6924, 21892, 676, 5518, 32457, 267, 4259, 2475, 4914, 3609, 585, 519, 1985, 8938, 1296, 563, 268, 476, 273, 5239, 910, 634, 13371, 14816, 3212, 534, 7491, 676, 8176, 631, 269, 5576, 592, 345, 568, 1101, 3370, 538, 5722, 2475, 14786, 563, 268, 476, 274, 5239, 910, 5192, 14243, 331, 1470, 667, 1941, 21304, 966, 1173, 553, 267, 11221, 7022, 540, 8478, 267, 585, 513, 2947, 4458, 2165, 563, 268, 476, 276, 5239, 910, 24414, 2229, 844, 20635, 27632, 1824, 538, 519, 20703, 25458, 553, 563, 268, 476, 278, 5239, 910, 634, 476, 4198, 271, 268, 4198, 272, 12289, 540, 17230, 676, 3624, 5956, 563, 268, 476, 278, 5239, 910, 3397, 622, 10426, 15167, 10741, 585, 6808, 563, 268, 476, 1556, 5239, 910, 634, 8549, 18058, 8189, 2152, 519, 1101, 12689, 547, 13739, 8613, 538, 7990, 267, 547, 595, 7034, 630, 681, 7563, 786, 6707, 15539, 543, 3625, 519, 12689, 689, 2921, 1198, 267, 2705, 1916, 268, 476, 1428, 5239, 634, 2034, 570, 659, 5448, 23902, 4900, 15167, 10741, 563, 268, 476, 1428, 5239, 910, 769, 5101, 5125, 267, 1209, 1235, 3094, 476, 4200, 269, 278, 260, 540, 519, 8917, 563, 268, 476, 736, 5239, 910, 5245, 10596, 519, 19797, 9549, 19837, 1828, 2920, 267, 2663, 13351, 1524, 676, 519, 4400, 7040, 563, 268, 476, 2918, 5239, 910, 590, 3563, 6307, 1855, 25564, 5956, 1200, 17493, 960, 538, 2836, 12827, 3279, 543, 3587, 1634, 607, 12624, 1855, 25564, 563, 268, 476, 2764, 5239, 910, 8776, 322, 5866, 590, 5902, 729, 8547, 563, 268, 476, 1789, 5239, 910, 634, 20289, 340, 5984, 772, 19828, 22812, 14179, 339, 568, 3323, 676, 17896, 681, 4618, 2817, 1235, 1996, 519, 2136, 2276, 563, 268, 476, 272, 5437, 910, 15352, 623, 3780, 2473, 2862, 22168, 519, 834, 21001, 2193, 540, 519, 6129, 257, 693, 519, 28912, 543, 11225, 513, 1007, 2915, 2742, 540, 4936, 30871, 281, 602, 2696, 10924, 6307, 781, 1560, 883, 24656, 1310, 1200, 2669, 563, 268, 476, 272, 5437, 910, 17896, 681, 4618, 3084, 1235, 717, 5142, 601, 1470, 8776, 637, 7637, 543, 30546, 7502, 1794, 334, 3801, 547, 18272, 3729, 2475, 5518, 16452, 590, 269, 32457, 267, 945, 568, 9363, 693, 519, 2349, 1515, 6441, 2465, 5600, 538, 6115, 267, 667, 5861, 269, 1282, 6519, 5600, 18203, 563, 268, 476, 275, 5437, 910, 2136, 8315, 7475, 519, 20320, 10072, 540, 8050, 563, 268, 476, 279, 5437, 910, 11114, 2782, 281, 2755, 538, 606, 674, 268, 3199, 267, 2136, 2276, 5794, 10414, 700, 339, 269, 21651, 808, 269, 9466, 18448, 338, 1079, 3345, 11114, 21007, 294, 268, 1428, 338, 2282, 519, 962, 2728, 5211, 543, 22534, 873, 1524, 538, 519, 1101, 15191, 3562, 18191, 564, 2915, 325, 697, 538, 1686, 563, 268, 476, 1015, 5437, 910, 589, 2475, 5794, 10414, 645, 268, 2004, 8111, 3228, 816, 17177, 828, 267, 7680, 606, 538, 1922, 2775, 6595, 267, 795, 9116, 2581, 539, 543, 1033, 517, 730, 513, 4460, 476, 275, 6046, 10514, 936, 20563, 267, 4516, 269, 634, 3926, 26218, 922, 726, 583, 28016, 4295, 563, 268, 476, 1556, 5437, 910, 634, 20917, 22389, 5980, 568, 8547, 538, 11968, 13353, 607, 519, 1101, 22985, 2000, 756, 3130, 3919, 563, 268, 476, 1724, 5437, 910, 29962, 24883, 5548, 326, 5964, 30634, 321, 7596, 568, 32043, 11474, 543, 23689, 538, 2961, 659, 553, 563, 268, 476, 1724, 5437, 910, 589, 4354, 339, 1170, 1234, 573, 674, 2391, 7896, 7077, 26301, 1247, 679, 709, 974, 547, 8303, 689, 7507, 11318, 782, 476, 7367, 593, 4604, 563, 268, 476, 1240, 5437, 910, 634, 2136, 8315, 24693, 519, 5250, 540, 8644, 12505, 3084, 14643, 454, 268, 476, 736, 5437, 910, 570, 269, 590, 269, 18379, 582, 14753, 1996, 8613, 538, 519, 5177, 563, 268, 476, 2420, 5437, 910, 14640, 5174, 761, 880, 27632, 1824, 538, 5527, 563, 268, 476, 2420, 5437, 910, 1744, 597, 2917, 13527, 3045, 25555, 1200, 16468, 689, 1397, 1870, 563, 268, 476, 1839, 5437, 910, 26263, 1580, 531, 5162, 7088, 30635, 1137, 519, 17368, 14665, 2136, 2276, 267, 6770, 476, 1789, 547, 476, 2004, 6279, 540, 6777, 267, 5210, 2630, 4642, 267, 543, 19754, 476, 26825, 1004, 563, 268, 476, 2918, 5437, 910, 11114, 2782, 281, 18858, 3591, 689, 519, 4658, 781, 6243, 540, 3624, 1847, 883, 3345, 9705, 543, 10131, 513, 7372, 4831, 3430, 871, 1996, 3162, 11114, 543, 1977, 4229, 693, 932, 28009, 267, 10678, 1022, 2219, 540, 513, 2656, 1439, 547, 519, 4655, 563, 268, 476, 2764, 5437, 910, 10255, 543, 31735, 807, 6963, 20320, 1894, 563, 268, 476, 3066, 5437, 910, 11114, 2782, 281, 3345, 11114, 543, 4457, 10136, 3196, 513, 18956, 540, 2136, 8315, 4229, 689, 3345, 9705, 563, 268, 476, 3066, 5437, 910, 2817, 7027, 540, 519, 932, 11699, 540, 2441, 538, 519, 7330, 8547, 563, 268, 476, 1789, 5437, 910, 19958, 5839, 6635, 11037, 27938, 547, 946, 6046, 9604, 538, 9705, 563, 268, 476, 274, 5412, 910, 24398, 18264, 3534, 11199, 14186, 538, 24558, 1176, 563, 268, 476, 1556, 5412, 268, 476, 1724, 5412, 910, 634, 12756, 670, 1068, 26710, 27632, 1824, 2049, 538, 14135, 267, 6028, 476, 1240, 4666, 543, 476, 15876, 13676, 563, 268, 476, 1321, 5412, 910, 14529, 3121, 25532, 9007, 3587, 519, 1101, 4807, 538, 519, 2136, 2276, 547, 4196, 513, 30798, 607, 513, 15887, 6798, 563, 268, 476, 1626, 5412, 910, 634, 8433, 540, 16470, 22994, 16478, 568, 3964, 538, 519, 2136, 2276, 563, 268, 476, 2190, 5412, 268, 476, 1839, 5412, 910, 13677, 3084, 1235, 1491, 519, 12942, 540, 2480, 821, 689, 31689, 30745, 563, 268, 476, 2764, 5412, 910, 634, 30078, 10588, 3587, 6628, 781 ]

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

[ 547, 581, 2808, 606, 19473, 626, 563, 288, 1492, 1143, 814, 3006, 1044, 3989, 547, 1331, 519, 2241, 9000, 540, 3661, 269, 901, 3376, 4214, 1131, 1331, 29507, 543, 824, 1004, 945, 723, 711, 1044, 6534, 547, 519, 2065, 2093, 282, 607, 2484, 1394, 607, 476, 10082, 273, 267, 31578, 546, 262, 29804, 22138, 1767, 269, 6723, 670, 269, 8055, 6700, 602, 281, 834, 763, 812, 267, 796, 659, 638, 20557, 609, 519, 1143, 568, 606, 19473, 626, 1317, 646, 1281, 711, 3494, 538, 513, 5601, 282, 713, 7121, 1131, 1331, 519, 1126, 609, 519, 12497, 4390, 547, 9787, 519, 2152, 3238, 267, 855, 267, 1869, 23387, 540, 1346, 2152, 269, 634, 1249, 602, 713, 1126, 1281, 711, 3494, 538, 5601, 4018, 5809, 1864, 607, 606, 19473, 626, 1701, 1955, 14032, 19473, 1143, 568, 834, 1492, 9000, 540, 519, 2065, 3661, 1510, 513, 6857, 18349, 540, 621, 257, 543, 8763, 19473, 1143, 568, 519, 6857, 18349, 540, 3661, 269, 1280, 519, 5301, 540, 1010, 1957, 593, 834, 874, 3342, 28441, 19473, 1143, 2580, 29527, 18491, 601, 29653, 1519, 6071, 9000, 540, 519, 2065, 3661, 607, 513, 1826, 540, 19473, 1143, 269, 24023, 11534, 344, 1362, 5809, 607, 21030, 757, 1346, 945, 2760, 2808, 519, 2243, 1317, 789, 3668, 1022, 1620, 540, 1018, 513, 5601, 568, 269, 4340, 547, 11534, 344, 267, 891, 1223, 581, 835, 18881, 6040, 9002, 267, 3425, 609, 4049, 15779, 2634, 7063, 267, 610, 2550, 609, 4359, 12110, 563, 4942, 3342, 14279, 971, 607, 4165, 3415, 18307, 342, 543, 7812, 9410, 723, 4334, 539, 2318, 630, 560, 454, 29272, 659, 558, 2125, 616, 1480, 13402, 1016, 614, 10328, 8574, 1811, 585, 3909, 2259, 269, 7102, 12068, 1031, 607, 513, 19746, 1747, 568, 513, 3032, 659, 4861, 267, 4352, 519, 2262, 568, 1034, 2404, 609, 519, 4936, 7276, 282, 519, 1101, 1747, 547, 581, 5219, 547, 607, 3032, 659, 558, 2125, 729, 519, 1062, 540, 11895, 9723, 2125, 1063, 519, 476, 273, 526, 543, 476, 274, 6113, 19325, 540, 519, 2561, 1014, 10158, 538, 7507, 267, 1141, 519, 4703, 540, 519, 19980, 956, 8834, 543, 6754, 267, 1851, 1866, 267, 941, 1767, 547, 723, 1044, 12617, 269, 634, 2012, 540, 602, 1747, 538, 17623, 5824, 729, 700, 269, 700, 269, 3185, 269, 9930, 269, 726, 269, 562, 269, 3032, 659, 3518, 553, 513, 2262, 540, 21372, 5169, 3541, 1516, 689, 513, 1697, 2012, 267, 610, 3116, 513, 13313, 540, 519, 5824, 8360, 524, 1092, 512, 3518, 553, 267, 834, 600, 784, 519, 9723, 2125, 2668, 634, 2262, 5219, 1152, 547, 519, 4936, 3032, 659, 558, 2125, 267, 855, 729, 6905, 676, 476, 8146, 277, 547, 3277, 547, 1022, 1016, 614, 10328, 7789, 12386, 540, 519, 4666, 267, 607, 538, 519, 476, 1240, 628, 10601, 8303, 3032, 659, 558, 2125, 269, 2353, 4936, 3032, 659, 558, 2125, 941, 4092, 3544, 2749, 6821, 2094, 621, 729, 10363, 547, 30565, 513, 4666, 1560, 1369, 519, 2749, 267, 3246, 834, 320, 1747, 2507, 3602, 12004, 344, 3464, 9723, 2125, 1223, 581, 6825, 257, 543, 16033, 894, 2533, 543, 905, 6814, 4371, 9108, 593, 10723, 2395, 563, 29272, 659, 558, 2125, 1472, 519, 1158, 1331, 281, 5245, 1107, 9697, 659, 558, 2125, 540, 27076, 5441, 267, 24332, 15212, 1107, 9697, 659, 558, 2125, 540, 853, 269, 15537, 781, 24130, 267, 21499, 16231, 6243, 1107, 9697, 659, 558, 2125, 540, 2098, 7224, 329, 15879, 18548, 11844, 543, 4173, 345, 1122, 990, 2088, 1107, 9697, 659, 558, 2125, 540, 808, 1690, 576, 5527, 1107, 9697, 659, 558, 2125, 540, 918, 558, 1714, 1744, 334, 336, 2378, 320, 538, 28641, 4789, 1107, 9697, 659, 558, 2125, 540, 5507, 543, 1866, 18940, 1107, 9697, 659, 558, 2125, 540, 519, 670, 1564, 1074, 328, 18179, 28200, 693, 670, 2884, 8643, 655, 328, 28200, 5333, 1107, 9697, 659, 558, 2125, 540, 8303, 269, 17719, 25029, 941, 1031, 693, 1439, 540, 519, 476, 1240, 628, 2540, 543, 1185, 1100, 3909, 3483, 824, 982, 607, 606, 522, 1087, 4231, 585, 13936, 519, 7633, 540, 23498, 1178, 3272, 1841, 269, 10255, 1107, 9697, 659, 558, 2125, 540, 631, 3342, 7977, 1107, 9697, 659, 558, 2125, 540, 7507, 269, 7167, 1276, 514, 3032, 659, 558, 2125, 540, 6022, 1069, 334, 267, 24558, 1176, 941, 1031, 607, 3735, 607, 519, 476, 4572, 271, 338, 269, 9697, 659, 558, 2125, 941, 2139, 538, 930, 540, 519, 1178, 837, 2296, 524, 655, 2678, 625, 8547, 538, 519, 476, 866, 628, 11416, 267, 971, 607, 2701, 742, 1752, 4937, 30895, 543, 4639, 7439, 6229, 30895, 269, 1703, 616, 3032, 659, 558, 2125, 538, 31697, 2282, 1325, 611, 345, 3873, 3933, 2120, 344, 543, 538, 27597, 607, 10120, 11895, 26847, 538, 29246, 11732, 269, 769, 12907, 543, 6576, 267, 3032, 659, 4861, 4016, 547, 519, 3060, 540, 14460, 23572, 543, 25310, 4505, 1031, 547, 9553, 6149, 14680, 563, 29272, 659, 558, 2125, 267, 4352, 1034, 8037, 607, 11895, 8574, 1811, 543, 524, 655, 2678, 625, 2777, 1082, 23598, 269, 1703, 616, 5215, 540, 23598, 538, 519, 5553, 6040, 3032, 659, 558, 2125, 540, 7507, 267, 3032, 659, 558, 2125, 540, 8303, 267, 824, 1634, 543, 7164, 3032, 659, 558, 2125, 267, 930, 540, 799, 1331, 1202, 18587, 267, 24112, 543, 824, 3688, 5116, 538, 519, 30401, 936, 519, 1296, 269, 4107, 540, 891, 23598, 941, 1031, 547, 2697, 543, 1397, 2463, 547, 519, 4666, 269, 5463, 32590, 538, 519, 3032, 659, 558, 2125, 540, 7507, 941, 21243, 609, 2592, 543, 1913, 608, 531, 1154, 2441, 610, 18995, 10207, 689, 519, 6196, 543, 1715, 4530, 14613, 540, 519, 6426, 269, 13518, 540, 519, 17001, 960, 543, 1148, 267, 824, 982, 1266, 9545, 902, 593, 519, 6821, 610, 9723, 2125, 267, 814, 1044, 12873, 538, 4025, 971, 607, 519, 7467, 540, 853, 269, 3627, 13536, 534, 267, 4168, 7467, 540, 12670, 2160, 267, 519, 28912, 269, 8422, 11269, 540, 2441, 607, 2107, 15343, 639, 23406, 2831, 609, 12560, 2575, 723, 1044, 1336, 538, 519, 3032, 659, 558, 2125, 540, 12358, 520, 8759, 543, 853, 269, 11910, 16695, 269, 6271, 4137, 729, 1500, 540, 575, 843, 539, 4837, 543, 7389, 1394, 547, 519, 8772, 2540, 267, 10023, 4906, 609, 519, 1158, 7059, 538, 1010, 1688, 543, 513, 20801, 693, 1010, 3952, 563, 7212, 5215, 540, 1202, 18587, 941, 4503, 607, 942, 5293, 267, 1082, 540, 1346, 6967, 5815, 519, 1514, 7584, 610, 2816, 2140, 540, 922, 11317, 269, 589, 1455, 543, 4277, 835, 1336, 538, 4936, 3032, 659, 558, 2125, 568, 519, 594, 577, 628, 903, 267, 610, 834, 12507, 6945, 540, 2441, 257, 799, 14509, 3852, 503, 394, 356, 394, 502, 394, 354, 394, 352, 267, 7555, 585, 834, 27716, 2441, 267, 12312, 540, 2696, 267, 14205, 1640, 2668, 769, 2487, 1296, 2189, 12490, 540, 4551, 723, 1044, 4362, 602, 8853, 538, 3032, 659, 558, 2125, 267, 1802, 1424, 7777, 2498, 331, 2803, 12412, 543, 9178, 282, 891, 1331, 918, 1026, 321, 7578, 18813, 673, 4289, 328, 267, 918, 1026, 321, 7578, 3032, 659, 3518, 2801, 267, 1614, 2010, 540, 1875, 268, 750, 332, 30858, 11676, 13681, 1461, 269, 30895, 15303, 744, 1087, 4231, 834, 763, 595, 2532, 540, 2549, 2632, 650, 5964, 257, 26789, 2749, 645, 569, 2023, 267, 2037, 573, 834, 26668, 979, 547, 3911, 10212, 2401, 781, 5440, 257, 32095, 1457, 543, 853, 893, 2023, 9768, 476, 7818, 268, 272, 268, 279, 4510, 6321, 268, 277, 4281, 268, 276, 27878, 17868, 333, 3331, 497, 2961, 4048, 5451, 514, 267, 8349, 700, 269, 3026, 3861, 632, 12098, 12534, 681, 5448, 21688, 1460, 281, 5250, 543, 18759, 540, 10120, 7507, 12891, 22017, 9768, 476, 7818, 268, 271, 268, 4037, 275, 277, 268, 2568, 280, 277, 268, 276, 533, 269, 476, 3451, 17880, 565, 5459, 267, 6754, 7338, 834, 763, 10723, 3662, 27394, 24227, 693, 3345, 15223, 336, 336, 4673, 281, 519, 1381, 338, 543, 741, 3032, 659, 558, 2125, 257, 769, 6428, 9874, 594, 330, 1090, 23942, 7068, 281, 3662, 544, 27186, 538, 9147, 5527, 269, 1977, 2160, 538, 595, 23879, 4964, 267, 476, 1220, 276, 6032, 269, 476, 4510, 1700, 10170, 563, 25835, 476, 7818, 268, 280, 6507, 268, 275, 2190, 268, 5952, 279, 268, 271, 634, 9697, 659, 558, 2125, 540, 12142, 1530, 30807, 1014, 634, 9697, 659, 558, 2125, 540, 10878, 1255, 634, 9697, 659, 558, 2125, 540, 8303, 9697, 659, 558, 2125, 634, 9697, 659, 558, 2125, 540, 12142, 11910, 626, 4427, 614, 10328, 27429, 634, 9697, 659, 558, 2125, 540, 7799, 320, 267, 18475, 454, 299, 12762, 5980, 540, 27257, 454, 763, 30803, 5980, 540, 27257, 729, 513, 12129, 8630, 543, 13016, 4121, 2486, 540, 7986, 5515, 538, 519, 11068, 4133, 21654, 267, 1519, 4853, 1235, 267, 2067, 15806, 543, 30921, 267, 945, 1558, 1063, 476, 12293, 276, 543, 476, 8687, 274, 538, 27257, 267, 4789, 269, 2311, 1101, 1572, 519, 30803, 17781, 267, 834, 299, 12762, 5980, 257, 2968, 519, 6101, 2012, 676, 476, 10082, 276, 282, 519, 2012, 21256, 1317, 519, 2486, 1131, 2743, 1282, 519, 2407, 7599, 267, 607, 519, 3063, 1769, 1500, 519, 3460, 1753, 4443, 543, 10930, 538, 519, 9000, 540, 8265, 8654, 269, 634, 2818, 17869, 2685, 5219, 547, 2933, 607, 513, 5309, 593, 561, 684, 18267, 269, 10469, 1132, 3769, 661, 6652, 16443, 16817, 781, 1753, 538, 700, 747, 7615, 267, 15623, 645, 9567, 2023, 781, 1753, 267, 1924, 14833, 5600, 267, 14332, 8822, 5600, 538, 667, 8538, 903, 10921, 267, 4279, 645, 1551, 8065, 282, 519, 30803, 5980, 7960, 998, 1585, 5232, 540, 13539, 936, 513, 1974, 540, 909, 547, 15823, 1296, 267, 855, 729, 1152, 606, 13016, 1895, 269, 3143, 11156, 267, 12326, 610, 15376, 8638, 7639, 689, 1022, 1974, 267, 2963, 540, 922, 6228, 543, 2238, 568, 1336, 1152, 538, 519, 19359, 543, 4967, 540, 1346, 2404, 609, 621, 563, 26944, 2103, 4061, 10990, 593, 1018, 4018, 5809, 607, 15376, 540, 519, 30803, 5980, 267, 945, 666, 581, 2808, 547, 723, 1044, 2818, 267, 950, 519, 2486, 666, 581, 1767, 547, 723, 11478, 269, 21280, 11672, 11205, 326, 6229, 267, 585, 1383, 267, 568, 4330, 676, 930, 6085, 2209, 607, 1373, 835, 540, 2947, 834, 1440, 4532, 7625, 2818, 257, 540, 519, 2486, 267, 1247, 1866, 2015, 602, 646, 834, 4754, 2254, 581, 6444, 607, 2407, 4759, 257, 693, 782, 269, 667, 919, 2016, 585, 519, 10661, 540, 519, 2486, 2039, 689, 834, 338, 2210, 830, 1354, 476, 12293, 271, 257, 547, 476, 10082, 276, 282, 930, 12206, 8044, 602, 621, 1185, 30403, 547, 2291, 676, 476, 9692, 272, 269, 6736, 713, 10462, 267, 27552, 2043, 723, 1044, 4857, 607, 2348, 2357, 604, 22239, 13984, 30803, 5980, 11401, 936, 513, 1279, 1974, 1282, 922, 1034, 11327, 21971, 281, 891, 616, 15623, 645, 9567, 2023, 267, 661, 6652, 16443, 16817, 267, 7338, 4303, 267, 9400, 10753, 767, 331, 22750, 10290, 267, 15656, 8895, 2023, 267, 12789, 269, 7917, 31217, 9652, 267, 6276, 3223, 597, 267, 9478, 623, 1845, 1479, 344, 267, 5261, 9540, 267, 22189, 853, 10280, 267, 6276, 654, 3430, 267, 21280, 11672, 11205, 326, 6229, 267, 3627, 6519, 327, 32231, 543, 5261, 654, 2416, 532, 269, 2755, 519, 2486, 781, 11401, 3177, 922, 2012, 543, 1514, 1445, 267, 789, 941, 796, 28695, 538, 922, 2238, 267, 2484, 811, 2534, 543, 2792, 3576, 1747, 3544, 519, 11401, 2933, 1107, 2818, 2199, 547, 27257, 941, 538, 3232, 3346, 267, 811, 11397, 3283, 538, 19359, 693, 2547, 12353, 563, 288, 811, 29101, 3989, 1895, 814, 4061, 1044, 4857, 936, 513, 9962, 10923, 1858, 543, 3476, 942, 1974, 267, 945, 13984, 11401, 543, 945, 5330, 539, 610, 1071, 268, 6016, 730, 609, 2789, 824, 2818, 593, 1895, 2238, 269, 1452, 1331, 9400, 17340, 9774, 267, 3627, 590, 1889, 26293, 267, 8361, 631, 1195, 525, 267, 3627, 631, 7865, 961, 267, 13100, 2678, 6682, 704, 267, 681, 269, 661, 269, 681, 553, 701, 267, 3627, 645, 2532, 969, 4068, 267, 7338, 16170, 323, 3996, 267, 3627, 19785, 3430, 267, 5261, 774, 1682, 517, 267, 7261, 22567, 12722, 267, 14639, 268, 4517, 28584, 5548, 1075, 267, 3627, 12070, 330, 8657, 267, 3627, 12891, 267, 15656, 2859, 267, 7917, 645, 720, 267, 6276, 5696, 785, 2917, 267, 25453, 26186, 603, 338, 267, 3627, 681, 4141, 321, 3089, 267, 7338, 623, 2075, 2526, 267, 9478, 4563, 267, 6276, 670, 583, 2023, 267, 18148, 15284, 267, 9478, 24434, 267, 5261, 670, 619, 322, 3559, 267, 12253, 3752, 6387, 267, 3627 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5507, 267, 476, 3445, 267, 6032, 269, 476, 11793, 1700, 5611, 267, 8222, 281, 1015, 269, 11820, 279, 29265, 560, 331, 269, 5197, 271, 269, 1822, 279, 454, 268, 8479, 267, 7338, 630, 5197, 273, 1070, 17880, 565, 5459, 267, 5261, 630, 539, 13776, 834, 11073, 6050, 540, 31401, 543, 769, 24751, 18245, 14675, 543, 8752, 2580, 4750, 540, 7849, 13898, 267, 11061, 543, 519, 8551, 267, 5507, 267, 476, 276, 267, 6032, 269, 476, 7761, 268, 4281, 267, 476, 10037, 268, 11011, 267, 476, 13199, 268, 9873, 267, 476, 15757, 454, 268, 8479, 267, 7338, 630, 5197, 278, 1070, 589, 6092, 540, 700, 624, 999, 593, 7849, 13898, 543, 519, 20996, 8551, 267, 476, 273, 267, 5507, 281, 9478, 9652, 0, 289, 2794, 630, 4252, 264, 3297, 519, 1274, 538, 513, 1126, 281, 1018, 621, 568, 267, 918, 558, 528, 22603, 267, 8666, 454, 1432, 568, 519, 26686, 3297, 519, 1274, 538, 513, 1126, 888, 763, 1126, 779, 1072, 543, 8171, 568, 1034, 1271, 547, 15962, 3237, 267, 865, 789, 609, 6909, 1990, 7002, 547, 2149, 741, 1126, 689, 1585, 22074, 269, 1809, 267, 19890, 267, 711, 782, 741, 1655, 563, 15919, 1453, 540, 1114, 6502, 2408, 13021, 936, 519, 10772, 267, 799, 568, 513, 1483, 6161, 585, 31908, 543, 546, 6758, 3843, 5612, 547, 798, 4376, 269, 8921, 267, 1265, 856, 519, 1739, 2798, 281, 26686, 3297, 519, 1274, 538, 513, 1126, 281, 602, 779, 1946, 568, 4646, 543, 2436, 547, 5855, 563, 1692, 1281, 513, 26686, 3297, 1274, 538, 1126, 454, 763, 13021, 3297, 519, 1274, 610, 513, 26686, 1107, 2356, 782, 2069, 267, 799, 568, 5631, 1813, 547, 519, 2799, 2450, 540, 519, 9726, 6843, 538, 519, 8405, 269, 589, 2147, 7613, 4386, 607, 513, 1267, 540, 6553, 267, 945, 1185, 2907, 3262, 538, 519, 1560, 543, 2253, 547, 4323, 519, 1034, 7925, 1949, 563, 2026, 513, 4341, 267, 7902, 519, 26686, 568, 711, 11213, 543, 568, 711, 5906, 585, 519, 4816, 779, 1072, 269, 6270, 513, 3440, 3297, 519, 1274, 1058, 581, 5394, 267, 1940, 762, 267, 543, 1282, 27621, 566, 1058, 5693, 581, 5433, 563, 30131, 256, 1403, 519, 2069, 14543, 543, 1281, 711, 6175, 519, 1126, 585, 1896, 2395, 267, 596, 1058, 6157, 3643, 513, 4387, 563, 4913, 267, 972, 616, 513, 1297, 540, 824, 2188, 28596, 519, 11944, 540, 971, 513, 13021, 3297, 519, 1274, 267, 543, 538, 1142, 3510, 519, 2589, 616, 1360, 1114, 269, 7201, 1022, 6381, 267, 3237, 1058, 5402, 6895, 519, 10510, 563, 3383, 267, 693, 606, 2038, 3942, 513, 26686, 949, 711, 4159, 1022, 4191, 543, 798, 711, 11145, 269, 1717, 267, 930, 4191, 1256, 538, 1875, 3620, 1794, 731, 748, 1106, 1869, 2291, 269, 1452, 1331, 912, 268, 519, 3308, 5920, 540, 519, 27894, 3248, 268, 513, 2312, 4214, 540, 6302, 3248, 268, 1928, 950, 20109, 267, 4767, 3248, 268, 519, 3668, 540, 9636, 563, 1103, 930, 2665, 267, 519, 1184, 4203, 2231, 513, 2942, 2095, 267, 799, 666, 1376, 535, 6856, 532, 269, 898, 568, 7074, 519, 1569, 542, 540, 971, 2589, 912, 268, 4414, 1145, 1332, 2195, 563, 268, 634, 1646, 540, 30046, 563, 268, 634, 27894, 2333, 538, 2450, 563, 268, 590, 648, 547, 5905, 563, 268, 8738, 940, 543, 21422, 538, 519, 1612, 582, 573, 3148, 563, 268, 634, 13250, 540, 5714, 538, 519, 13021, 563, 268, 634, 2799, 1560, 2837, 563, 16920, 1549, 256, 1403, 942, 1281, 711, 2569, 519, 1126, 547, 519, 4387, 267, 519, 13021, 666, 581, 9168, 609, 713, 1689, 543, 922, 18913, 2589, 616, 281, 2069, 3587, 4396, 543, 7106, 8986, 922, 10688, 563, 27246, 540, 26686, 3297, 1274, 454, 2252, 3297, 1274, 1126, 779, 2069, 568, 1507, 267, 1287, 713, 949, 5815, 519, 1646, 540, 1585, 3676, 269, 3509, 540, 873, 616, 711, 20027, 585, 519, 4816, 563, 29995, 1018, 5654, 899, 513, 13021, 543, 1018, 2450, 630, 874, 9369, 540, 561, 7927, 3297, 519, 1274, 540, 1585, 1696, 5735, 4843, 538, 713, 2376, 2630, 264, 5673, 593, 519, 3815, 602, 3361, 922, 23314, 563, 3383, 267, 1985, 786, 24559, 609, 519, 3119, 2959, 543, 19183, 540, 27894, 593, 519, 2212, 3297, 519, 1274, 538, 513, 1126, 563, 2252, 972, 568, 513, 26686, 2282, 519, 1274, 267, 519, 1101, 3364, 596, 1058, 2015, 568, 519, 6553, 540, 519, 9726, 9136, 267, 799, 568, 519, 4617, 2287, 540, 519, 8825, 3252, 540, 519, 11248, 563, 2005, 666, 2049, 693, 1022, 12119, 942, 540, 519, 1032, 267, 543, 5469, 5612, 621, 568, 711, 2141, 2009, 563, 763, 4816, 29424, 3297, 519, 1274, 568, 3622, 711, 7298, 267, 607, 27621, 762, 9726, 9136, 3983, 563, 5226, 924, 1419, 267, 713, 6553, 568, 3361, 676, 11763, 3676, 563, 1103, 971, 513, 3510, 267, 707, 1126, 949, 29153, 540, 1928, 2282, 519, 1274, 267, 855, 3006, 972, 616, 2665, 540, 12136, 540, 1928, 1652, 6553, 563, 1103, 713, 11763, 2068, 540, 28332, 1612, 582, 573, 14189, 267, 799, 14122, 519, 5920, 540, 561, 7927, 896, 519, 1274, 593, 519, 8405, 563, 23322, 2065, 11926, 5526, 593, 519, 3783, 984, 525, 267, 1750, 4060, 267, 8405, 267, 543, 519, 3461, 1126, 786, 29153, 540, 1928, 950, 24948, 543, 949, 1256, 20549, 1426, 563, 2252, 596, 14353, 519, 1646, 540, 713, 2068, 1058, 5612, 5077, 513, 4387, 563, 20055, 269, 3474, 582, 4345, 610, 544, 7927, 568, 513, 5906, 2068, 1317, 16607, 5275, 2564, 1416, 610, 23304, 731, 519, 7840, 540, 519, 4387, 267, 1419, 1020, 1272, 18446, 1072, 8374, 563, 763, 12982, 1184, 538, 519, 1274, 454, 2252, 972, 568, 519, 5920, 540, 2069, 593, 1152, 835, 2427, 267, 621, 568, 513, 1129, 540, 6553, 540, 519, 1647, 1274, 610, 27150, 563, 5475, 7092, 17333, 4345, 2923, 9726, 9136, 2810, 538, 2450, 267, 543, 1287, 2864, 3533, 11081, 563, 1103, 519, 2027, 2126, 540, 519, 25862, 538, 713, 2013, 972, 568, 1100, 991, 267, 855, 4274, 5796, 1281, 711, 10413, 563, 1607, 568, 2556, 538, 1931, 547, 1118, 2386, 602, 3388, 568, 538, 1931, 267, 6382, 2443, 513, 4960, 942, 547, 1376, 8156, 519, 2068, 563, 5353, 321, 17675, 28144, 543, 9067, 5448, 454, 22746, 3676, 616, 6353, 676, 519, 11944, 540, 513, 4396, 26686, 267, 799, 568, 2356, 4092, 896, 519, 2960, 593, 519, 5642, 563, 288, 1492, 668, 320, 1107, 513, 22480, 10510, 538, 519, 2960, 610, 519, 4552, 3597, 267, 568, 4904, 609, 5728, 687, 269, 4438, 3339, 5106, 267, 519, 694, 321, 636, 608, 920, 1540, 998, 519, 28954, 547, 519, 3544, 563, 2252, 513, 8756, 568, 24571, 3022, 267, 519, 5714, 267, 543, 519, 23555, 2450, 4679, 269, 2991, 3346, 609, 23633, 8069, 267, 519, 5250, 540, 1625, 12040, 13999, 269, 7066, 730, 713, 7613, 609, 519, 948, 540, 6391, 563, 299, 760, 5448, 630, 310, 523, 264, 568, 513, 22480, 10510, 16109, 689, 519, 28539, 846, 5160, 269, 1879, 596, 2046, 621, 972, 568, 3350, 896, 519, 2960, 269, 634, 8594, 585, 519, 1126, 568, 711, 267, 2705, 267, 952, 972, 568, 606, 2333, 538, 2450, 267, 972, 568, 9636, 267, 621, 568, 6569, 563, 293, 626, 3121, 540, 519, 1274, 454, 288, 31329, 3121, 568, 513, 7522, 8756, 602, 8255, 689, 519, 20162, 2282, 519, 1274, 547, 519, 8405, 269, 11202, 1108, 568, 28955, 538, 14685, 334, 607, 513, 1267, 540, 19374, 540, 19341, 1646, 563, 2005, 568, 7298, 5612, 1310, 4332, 267, 543, 9428, 7444, 1510, 4929, 9636, 563, 2252, 972, 568, 6553, 540, 519, 18980, 267, 519, 1274, 814, 4646, 513, 1804, 26686, 540, 2699, 563, 21675, 538, 713, 3510, 568, 5645, 856, 676, 11216, 267, 547, 2569, 6553, 267, 1310, 799, 519, 31329, 3121, 568, 6569, 4907, 1227, 563, 763, 1646, 540, 30219, 666, 9594, 519, 12136, 540, 13021, 1472, 519, 1274, 267, 799, 666, 1831, 28332, 543, 1139, 23847, 563, 290, 22438, 1419, 10953, 607, 513, 1267, 540, 17244, 538, 19341, 1646, 563, 1103, 602, 3510, 267, 952, 519, 10510, 729, 10053, 543, 1799, 9394, 267, 713, 1797, 519, 5920, 538, 621, 540, 24561, 2281, 267, 602, 568, 4957, 3601, 21248, 21131, 540, 519, 694, 321, 17675, 15374, 563, 4415, 1434, 8825, 2934, 540, 519, 4816, 713, 29424, 593, 5642, 1310, 1139, 4851, 786, 7866, 2933, 563, 7804, 269, 918, 558, 541, 990, 20391, 827, 26686, 3297, 1274, 538, 1126, 454, 763, 6644, 540, 12021, 12963, 1014, 661, 269, 744, 269, 918, 558, 541, 990, 20391, 827, 519, 5920, 540, 519, 13021, 519, 1126, 779, 1274, 568, 3833, 2189, 269, 1924, 267, 538, 1010, 1913, 267, 971, 513, 7613, 538, 1453, 1034, 1419, 4386, 1813, 547, 519, 6553, 540, 9726, 9136, 563, 299, 8233, 9136, 616, 2808, 519, 22651, 540, 519, 4761, 1062, 543, 4043, 547, 2333, 2282, 519, 2707, 540, 3968, 269, 6833, 12288, 538, 621, 4376, 568, 711, 563, 1607, 7613, 949, 2049, 3833, 1419, 267, 2094, 1453, 616, 11630, 547, 1585, 10194, 543, 11763, 3676, 1317, 540, 562, 525, 845, 10098, 341, 2335, 739, 540, 519, 4761, 1062, 563, 20055, 269, 634, 1126, 1590, 581, 2938, 676, 513, 11285, 952, 519, 23762, 9726, 6843, 585, 476, 276, 2395, 563, 11764, 3405, 1944, 267, 649, 666, 2161, 602, 519, 5920, 540, 27894, 3297, 519, 1274, 538, 513, 1126, 949, 28596, 513, 3099, 540, 2188, 267, 519, 1292, 540, 799, 568, 6553, 540, 519, 9726, 9136, 269, 14268, 1058, 5402, 7747, 519, 5250, 543, 519, 5920, 540, 1928, 547, 979, 547, 519, 4387, 563, 27775, 754, 543, 1344, 593, 875, 547, 4894, 519, 3440, 538, 519, 3783, 12786, 269, 0, 273, 269, 10783, 514, 779, 4446, 10309, 281, 634, 10783, 514, 779, 4446, 10309, 568, 1500, 540, 513, 4837, 8546, 5176, 835, 25451, 1279, 543, 1930, 2560, 7102, 1843, 786, 2746, 547, 1312, 519, 12768, 21063, 543, 519, 32689, 1604, 281, 621, 786, 5385, 3002, 609, 519, 2011, 676, 28681, 543, 609, 519, 4478, 7252, 676, 5982, 2529, 334, 519, 3803, 2837, 540, 519, 1843, 568, 519, 2837, 693, 799, 519, 2698, 3002, 5385, 568, 4642, 269, 634, 6728, 781, 3611, 11530, 3455, 1939, 525, 4830, 476, 276, 18826, 25939, 1210, 1079, 29364, 13220, 689, 1142, 26282, 269, 1261, 11827, 519, 25229, 21747, 1216, 26282, 538, 476, 14689, 274, 269, 26457, 29090, 269, 634, 1034, 1455, 3926, 568, 513, 918, 7392, 5687, 665, 537, 921, 267, 713, 568, 1018, 5254, 3198, 300, 17248, 3096, 585, 782, 2011, 2837, 7403, 538, 938, 2978, 543, 538, 519, 2361, 269, 910, 14066, 2910, 273, 7893, 2039, 909, 547, 476, 15886, 280, 28327, 910, 29853, 1769, 1599, 585, 3327, 8166, 4578, 4015, 267, 8308, 543, 10502, 7893, 2011, 6991, 2066, 28954, 267, 814, 1044, 513, 2352, 4305, 269, 634, 1344, 10356, 689, 713, 6293, 6087, 5137, 540, 8143, 12632, 540, 9023, 1216, 17752, 2837, 543, 568, 849, 1031, 547, 6895, 2011, 630, 663, 824, 1875, 268, 1718, 839, 762, 3154, 264, 11006, 269, 634, 16038, 630, 514, 1181, 1049, 264, 1770, 540, 2837, 568, 5232, 17622, 267, 855, 538, 519, 772, 2529, 269, 649, 2594, 5210, 538, 5232, 18278, 269, 634, 2011, 2298, 11281, 2982, 3327, 8166, 9830, 909, 547, 476, 15886, 280, 28327, 267, 5210, 689, 910, 1015, 2507, 476, 2004, 11019, 290, 267, 543, 3448, 11195, 2418, 689, 476, 736, 2507, 476, 4817, 10065, 18323, 6482, 568, 1271, 547, 513, 2647, 2039, 540, 2238, 267, 1519, 5663, 267, 3621, 1382, 267, 543, 2564, 2259, 269, 7994, 513, 4837, 26282, 602, 3085, 1406, 2270, 16035, 269, 11289, 596, 585, 4434, 585, 707, 5796, 1547, 14175, 6420, 281, 14175, 6420, 1519, 824, 3029, 540, 13247, 630, 338, 852, 267, 11739, 564, 543, 30339, 264, 568, 2141, 6027, 676, 2560, 1879, 1210, 519, 5687, 665, 537, 921, 267, 1747, 519, 9133, 540, 519, 16785, 2047, 883, 519, 3905, 2011, 6908, 630, 2181, 2536, 2406, 538, 513, 1259, 602, 2636, 2560, 795, 25184, 2801, 329, 322, 1315, 5192, 1399, 16103, 269, 4107, 5687, 18852, 616, 6806, 4837, 13740, 5627, 15559, 971, 607, 4568, 610, 16035, 269, 4329, 9023, 786, 7873, 1619, 519, 1216, 32350, 883, 12269, 610, 4764, 269, 1665, 803, 607, 2634, 4289, 5225, 1547, 769, 3257, 865, 267, 646, 11827, 519, 1158, 781, 1101, 18642, 26282, 269, 476, 275, 269, 273, 856, 540, 476, 276, 6801, 476, 4510, 269, 634, 18342, 2837, 7893, 6293, 8850, 10525, 519, 2837, 3017, 269, 634, 2011, 2837, 568, 1767, 547, 581, 693, 632, 342, 15304, 269, 589, 645, 2752, 6865, 4953, 2207, 3800, 2011, 2604 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2877, 547, 1174, 519, 30367, 540, 6803, 2895, 1516, 269 ]

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

[ 476, 6187, 270, 1626, 270, 1708, 271, 267, 543, 3592, 10876, 3116, 538, 519, 1158, 621, 781, 476, 1626, 270, 6187, 270, 1708, 271, 780, 2162, 1548, 952, 596, 1152, 18886, 3018, 17058, 2496, 1103, 930, 2665, 267, 596, 1522, 1616, 547, 18178, 32300, 543, 1293, 1152, 519, 3018, 17058, 269, 901, 1223, 581, 3730, 952, 596, 917, 596, 723, 513, 21120, 1759, 593, 513, 1978, 1297, 540, 1870, 2395, 269, 1403, 596, 616, 3843, 547, 1294, 1018, 1554, 8813, 593, 519, 3169, 4266, 3017, 540, 476, 11740, 3018, 17058, 1354, 9947, 476, 1556, 267, 476, 1708, 272, 267, 596, 666, 1293, 909, 1142, 1554, 1236, 6235, 590, 4405, 17058, 543, 9530, 904, 780, 9359, 707, 9819, 609, 9947, 476, 1556, 267, 476, 1708, 272, 267, 799, 8813, 593, 513, 11016, 269, 25478, 4464, 267, 519, 1985, 1554, 1131, 581, 513, 11728, 780, 2414, 1205, 4010, 1614, 4627, 24239, 3018, 17058, 1354, 9947, 476, 1556, 267, 476, 1708, 272, 267, 596, 2965, 991, 547, 1293, 476, 27843, 2698, 2395, 630, 10175, 15964, 2395, 1040, 2334, 1797, 602, 476, 11740, 3018, 17058, 1354, 9947, 476, 1556, 267, 476, 1708, 272, 1131, 581, 5130, 476, 2190, 267, 476, 1708, 271, 780, 2252, 596, 2811, 10203, 1870, 2395, 267, 1810, 1405, 7340, 547, 4188, 713, 4266, 585, 1022, 14812, 780, 20464, 476, 1708, 271, 454, 1892, 10732, 454, 1892, 11728, 454, 1892, 13638, 454, 1892, 13723, 454, 1892, 13628, 454, 1892, 11016, 454, 1892, 14349, 454, 272, 269, 476, 272, 454, 273, 269, 476, 273, 454, 274, 269, 476, 274, 454, 275, 269, 476, 275, 454, 272, 269, 476, 276, 454, 273, 269, 476, 277, 454, 274, 269, 476, 278, 454, 275, 269, 476, 279, 454, 276, 269, 476, 280, 454, 277, 269, 476, 1015, 454, 278, 269, 476, 1556, 454, 272, 269, 476, 1321, 454, 273, 269, 476, 1724, 454, 274, 269, 476, 1691, 454, 275, 269, 476, 1428, 454, 276, 269, 476, 1626, 454, 277, 269, 476, 1704, 454, 278, 269, 476, 1240, 454, 272, 269, 476, 866, 454, 273, 269, 476, 736, 454, 274, 269, 476, 2641, 454, 275, 269, 476, 2420, 454, 276, 269, 476, 2537, 454, 277, 269, 476, 2190, 454, 278, 269, 476, 1839, 454, 272, 269, 476, 2918, 454, 273, 269, 476, 2767, 454, 274, 269, 476, 2764, 454, 275, 269, 476, 3066, 454, 276, 269, 476, 1789, 454, 277, 269, 476, 4029, 692, 20464, 476, 2190, 267, 476, 1708, 271, 568, 513, 11016, 269, 898, 568, 519, 476, 2190, 628, 1554, 540, 519, 1032, 267, 543, 538, 519, 476, 2190, 628, 3018, 540, 519, 1032, 630, 817, 11167, 1142, 3018, 6238, 593, 513, 10732, 1070, 610, 519, 476, 272, 560, 10116, 540, 519, 1032, 269, 1703, 616, 476, 4029, 2395, 538, 713, 3923, 269, 476, 1708, 271, 568, 513, 20014, 1032, 267, 865, 972, 616, 476, 3607, 277, 2395, 538, 713, 1032, 269, 634, 2110, 1106, 585, 713, 4266, 1031, 538, 519, 2136, 2276, 568, 476, 4905, 270, 2190, 270, 1708, 271, 267, 543, 3592, 10876, 3116, 538, 519, 1158, 621, 781, 476, 2190, 270, 4905, 270, 1708, 271, 780, 2162, 9373, 519, 1297, 540, 2395, 543, 519, 3169, 4266, 692, 13911, 538, 519, 1297, 540, 2395, 543, 519, 3169, 4266, 547, 5173, 689, 269, 1403, 596, 1616, 547, 1265, 513, 3105, 4266, 267, 596, 666, 4283, 513, 2942, 1297, 547, 4137, 856, 519, 1297, 540, 2395, 1354, 519, 9138, 4266, 269, 0, 258, 27387, 281, 4427, 7116, 2737, 6383, 676, 589, 692, 272, 269, 12361, 4427, 7116, 2737, 6383, 676, 589, 692, 4002, 2985, 476, 31620, 667, 636, 2466, 543, 674, 334, 1774, 1118, 519, 1739, 3948, 1384, 24679, 568, 2653, 547, 1294, 1210, 519, 4427, 7116, 2737, 262, 7600, 19118, 602, 585, 1022, 15410, 589, 540, 631, 267, 17241, 568, 8197, 513, 1016, 7116, 2544, 540, 631, 543, 568, 519, 10545, 1016, 7116, 2544, 540, 631, 799, 3568, 589, 3267, 834, 692, 27562, 568, 513, 8258, 609, 476, 272, 267, 631, 568, 513, 2451, 9074, 936, 681, 267, 589, 568, 513, 15410, 540, 631, 2020, 4692, 4896, 18005, 543, 12799, 6961, 713, 3948, 2496, 30681, 692, 273, 269, 12361, 1234, 281, 4427, 7116, 2737, 6383, 676, 589, 692, 23192, 17397, 676, 12672, 14551, 454, 4002, 2985, 476, 31620, 667, 636, 2466, 543, 674, 334, 1774, 1118, 519, 1739, 3948, 1384, 24679, 568, 2653, 547, 1294, 1210, 519, 4427, 7116, 2737, 262, 7600, 19118, 602, 585, 1022, 15410, 589, 540, 631, 267, 17241, 568, 8197, 513, 1016, 7116, 2544, 540, 631, 543, 568, 519, 10545, 1016, 7116, 2544, 540, 631, 799, 3568, 589, 3267, 834, 692, 27562, 568, 513, 8258, 609, 476, 272, 267, 631, 568, 513, 2451, 9074, 936, 681, 267, 589, 568, 513, 15410, 540, 631, 2020, 4692, 4896, 18005, 543, 12799, 6961, 713, 3948, 2496, 30681, 692, 9617, 10452, 593, 1250, 1378, 2243, 910, 621, 568, 2653, 547, 1397, 602, 17241, 568, 513, 1016, 7116, 2544, 540, 631, 267, 855, 1018, 729, 20468, 803, 729, 519, 6101, 6169, 602, 17241, 568, 519, 10545, 1016, 7116, 2544, 540, 631, 602, 3568, 589, 780, 4913, 1739, 519, 3948, 1384, 24679, 568, 2653, 547, 1294, 1210, 519, 4427, 7116, 2737, 262, 7600, 19118, 602, 585, 1022, 15410, 589, 540, 631, 267, 17241, 568, 8197, 513, 1016, 7116, 2544, 540, 631, 543, 568, 519, 10545, 1016, 7116, 2544, 540, 631, 799, 3568, 589, 3267, 834, 667, 636, 2466, 543, 674, 334, 1774, 2328, 1384, 257, 328, 4318, 269, 1022, 1016, 7116, 2544, 540, 631, 799, 3568, 589, 849, 3568, 17241, 5016, 314, 296, 1869, 1265, 621, 829, 14658, 532, 602, 713, 2965, 2982, 602, 17241, 568, 519, 10545, 1016, 7116, 2544, 540, 631, 799, 3568, 589, 855, 19037, 3267, 713, 568, 267, 594, 1589, 267, 711, 2182, 547, 6961, 3267, 10926, 3383, 547, 1397, 602, 1022, 1016, 7116, 2544, 540, 631, 799, 3568, 589, 849, 3568, 17241, 692, 4131, 715, 581, 513, 1016, 7116, 2544, 540, 631, 971, 602, 1269, 288, 1422, 11357, 3553, 18091, 715, 6911, 2171, 991, 547, 1397, 602, 1269, 6938, 1422, 11357, 3553, 18091, 715, 6911, 4131, 1269, 343, 1422, 514, 17241, 6911, 3086, 1269, 6938, 815, 1422, 346, 678, 318, 272, 320, 318, 272, 1341, 678, 318, 273, 320, 318, 273, 1341, 3267, 3267, 1341, 678, 318, 2742, 8548, 1422, 1923, 1422, 678, 318, 272, 267, 678, 318, 273, 267, 3267, 3267, 2073, 678, 8548, 1422, 514, 681, 267, 1422, 513, 318, 272, 267, 513, 318, 273, 267, 3267, 3267, 2073, 513, 8548, 1422, 514, 589, 267, 544, 1422, 514, 1422, 13992, 346, 313, 8703, 266, 10592, 3383, 1269, 343, 815, 678, 318, 272, 320, 318, 272, 1341, 678, 318, 273, 320, 318, 273, 1341, 3267, 3267, 1341, 678, 318, 2742, 8548, 259, 585, 1269, 337, 318, 272, 267, 678, 318, 273, 267, 3267, 3267, 2073, 678, 8548, 1422, 514, 681, 267, 1422, 513, 318, 272, 267, 513, 318, 273, 267, 3267, 3267, 2073, 513, 8548, 1422, 514, 589, 6911, 2252, 1269, 288, 1422, 11357, 3553, 18091, 715, 259, 1287, 1269, 337, 318, 807, 10983, 1422, 514, 715, 259, 585, 1269, 272, 1422, 548, 1775, 1422, 548, 562, 259, 2094, 715, 568, 513, 1016, 7116, 2544, 692, 663, 1287, 519, 1840, 540, 891, 2609, 267, 11617, 267, 1269, 337, 318, 272, 320, 318, 272, 1341, 678, 318, 273, 320, 318, 273, 1341, 3267, 3267, 1341, 678, 318, 2742, 8548, 259, 849, 568, 538, 715, 630, 604, 1079, 2609, 4866, 547, 513, 1016, 7116, 2544, 1287, 865, 1281, 519, 3693, 602, 568, 4646, 676, 741, 1840, 2020, 3383, 1269, 343, 1422, 514, 715, 6911, 13295, 1269, 343, 1422, 514, 17241, 1422, 16524, 21375, 1535, 1422, 514, 715, 6911, 3383, 1269, 288, 1422, 11357, 3553, 18091, 715, 1422, 16524, 21375, 17241, 1422, 11357, 3553, 18091, 715, 259, 3267, 3267, 630, 272, 2020, 4913, 267, 594, 993, 1869, 711, 4625, 2386, 875, 547, 18005, 1397, 602, 17241, 568, 519, 10545, 1016, 7116, 2544, 540, 631, 602, 3568, 589, 1775, 4318, 269, 875, 1281, 519, 29943, 630, 272, 264, 6542, 713, 910, 666, 2576, 948, 676, 6029, 713, 12799, 543, 18005, 2496, 30681, 0, 7785, 271, 2854, 607, 513, 2898, 1297, 16611, 676, 513, 1379, 540, 476, 1015, 692, 9223, 692, 7785, 271, 2854, 607, 513, 2898, 1297, 16611, 676, 513, 1379, 540, 476, 1015, 692, 271, 692, 272, 269, 634, 4341, 1644, 547, 713, 1966, 568, 950, 621, 2829, 476, 6200, 610, 476, 9083, 2073, 602, 1797, 519, 2179, 540, 4642, 525, 3297, 519, 2016, 1297, 16317, 2690, 1383, 476, 9818, 1131, 581, 476, 1911, 271, 1317, 476, 1015, 1535, 476, 1015, 1535, 476, 1015, 815, 476, 1911, 271, 692, 3383, 267, 538, 713, 1880, 1966, 519, 2626, 1131, 581, 1297, 476, 274, 1317, 476, 9818, 815, 476, 1911, 271, 865, 1287, 596, 723, 476, 277, 6398, 476, 1911, 271, 799, 1287, 815, 476, 7785, 271, 692, 14187, 9939, 256, 9462, 502, 478, 692, 273, 269, 922, 476, 7785, 876, 2560, 8796, 2507, 780, 282, 271, 2433, 271, 281, 264, 0, 28421, 1724, 2598, 4740, 5940, 1299, 16448, 532, 692, 258, 700, 4488, 1724, 2598, 4740, 5940, 1299, 16448, 532, 910, 2422, 519, 4521, 540, 13718, 1607, 12744, 2982, 3817, 476, 272, 1700, 275, 269, 6178, 909, 547, 2070, 519, 2407, 1543, 780, 8196, 519, 4521, 540, 11192, 17438, 547, 16534, 10819, 589, 2754, 9753, 10833, 540, 476, 1015, 2577, 1441, 2694, 689, 1079, 14273, 269, 4675, 17067, 476, 272, 7727, 476, 3583, 2600, 543, 814, 26843, 2557, 1547, 6734, 269, 4675, 17067, 476, 273, 7727, 476, 1789, 2600, 543, 814, 26843, 2557, 1547, 4962, 269, 4855, 519, 5506, 540, 476, 271, 8919, 1161, 538, 513, 4216, 269, 4855, 519, 5506, 540, 476, 272, 26843, 538, 513, 4216, 4855, 519, 4397, 1297, 540, 8919, 1161, 538, 513, 4216, 692, 1607, 12744, 814, 17543, 23324, 6810, 269, 6178, 909, 547, 2070, 519, 2407, 4528, 780, 8698, 9509, 11657, 454, 337, 18192, 269, 590, 815, 18261, 281, 623, 22829, 284, 272, 264, 815, 1547, 278, 623, 22829, 284, 273, 264, 815, 1547, 274, 678, 18192, 269, 2473, 815, 1297, 540, 8919, 1161, 538, 4216, 540, 476, 1015, 2016, 590, 284, 272, 267, 623, 11583, 284, 271, 264, 815, 476, 1015, 476, 271, 476, 6734, 476, 9032, 476, 278, 4391, 476, 271, 476, 1015, 815, 1547, 1547, 1547, 2016, 590, 284, 273, 267, 623, 11583, 284, 271, 264, 815, 476, 1015, 476, 271, 476, 4962, 476, 4817, 476, 276, 4200, 476, 271, 476, 1015, 815, 1547, 1547, 1547, 630, 476, 3066, 630, 476, 3066, 623, 2473, 623, 2473, 590, 623, 590, 623, 2473, 590, 623, 590, 630, 3738, 630, 1315, 3738, 630, 3738, 630, 1315, 3738, 630, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 815, 815, 815, 815, 815, 1341, 815, 815, 815, 815, 1341, 815, 476, 271, 476, 271, 476, 272, 476, 272, 476, 271, 476, 273, 476, 273, 476, 1015, 476, 271, 476, 6734, 476, 9032, 476, 278, 476, 1015, 476, 271, 476, 4962, 476, 4817, 476, 274, 476, 7597, 277, 476, 271, 476, 1015, 476, 271, 476, 1015, 630, 476, 3066, 630, 476, 3066, 623, 2473, 623, 2473, 590, 623, 590, 623, 2473, 590, 623, 590, 630, 3738, 630, 1315, 3738, 630, 3738, 630, 1315, 3738, 630, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 815, 815, 815, 815, 815, 1341, 815, 815, 815, 815, 1341, 815, 476, 272, 476, 272, 476, 272, 476, 272, 476, 272, 476, 273, 476, 273, 476, 1015, 476, 272, 476, 6734, 476, 9032, 476, 278, 476, 1015, 476, 272, 476, 4962, 476, 4817, 476, 274, 476, 14838, 476, 272, 476, 280, 476, 272, 476, 280, 476, 273, 454, 1805, 768, 28100, 634, 1297, 540, 15420, 602, 2049, 538, 513, 4557, 1032, 1974, 814, 519, 7313, 24480, 3892, 609, 1611, 476, 271, 269, 275, 269, 1403, 513, 7088, 1281, 2049, 267, 519, 5506, 540, 8115, 3441, 568, 476, 271, 269, 4962, 269, 4855, 519, 5506, 1100, 8115, 3441, 692, 1607, 12744, 814, 17543, 23324, 6810, 269, 6178, 909, 547, 2070, 519, 2407, 4528, 780, 8698, 9509, 11657, 454, 1607, 568, 519, 1439, 540, 519, 12744, 269, 6178, 909, 547, 1569, 519, 1964, 540, 519, 3561, 780, 1012, 901, 4063, 729, 23345, 593, 476, 6349, 270, 2767, 270, 1001, 272, 585, 519, 1576, 661, 4596, 476, 19740, 9264, 280, 6026, 676, 7905, 10878, 1282, 519, 11354, 1412, 6021, 2165, 693, 681, 3187, 780, 2162, 8525, 272, 1315, 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 ]

[ 4064, 2223, 25760, 1767, 269, 26465, 525, 543, 9205, 12439, 666, 3442, 689, 513, 2647, 3099, 540, 14485, 543, 14604, 602, 616, 1312, 2500, 543, 6752, 762, 563, 10666, 519, 11752, 454, 1103, 476, 1001, 273, 267, 715, 274, 299, 8838, 923, 5342, 513, 18487, 5619, 540, 4079, 547, 1732, 1174, 5615, 543, 4978, 11341, 547, 23475, 28904, 269, 634, 5619, 8947, 2127, 971, 607, 7589, 538, 9205, 5026, 543, 2238, 267, 946, 540, 23475, 28904, 267, 1072, 1702, 267, 543, 5945, 3928, 269, 634, 1641, 1895, 729, 1500, 909, 540, 476, 272, 267, 24699, 17013, 689, 2066, 519, 2197, 1063, 519, 6502, 540, 476, 1240, 268, 7918, 1296, 2025, 269, 2353, 17013, 1185, 12349, 693, 2547, 835, 6292, 540, 23475, 28904, 1282, 519, 2063, 476, 2190, 3275, 267, 543, 1185, 15548, 538, 606, 9205, 2534, 1369, 519, 2250, 1032, 269, 16952, 1239, 568, 2139, 676, 4008, 267, 2085, 1895, 543, 7328, 563, 301, 274, 299, 8838, 923, 8637, 616, 4092, 538, 27925, 543, 570, 1075, 5459, 589, 10961, 5919, 17030, 966, 773, 14765, 543, 5842, 631, 622, 334, 267, 2836, 604, 5919, 645, 3336, 7615, 543, 28631, 267, 2051, 334, 5919, 2107, 1633, 334, 267, 4469, 320, 5919, 28543, 543, 4432, 17131, 334, 267, 7147, 267, 543, 17865, 8235, 4975, 267, 18096, 267, 609, 513, 1007, 4558, 1793, 730, 547, 1930, 538, 645, 30629, 267, 2051, 334, 1421, 538, 4832, 476, 1001, 273, 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 ]

[ 2149, 2802, 22005, 6213, 3132, 543, 1832, 707, 3132, 23906, 615, 585, 3476, 563, 275, 269, 6875, 513, 1507, 6712, 547, 1376, 454, 3080, 540, 519, 7887, 2081, 649, 5352, 1426, 29578, 568, 676, 2921, 811, 1426, 982, 649, 666, 3548, 269, 1879, 18226, 538, 693, 1753, 267, 1376, 609, 4130, 13980, 543, 979, 1394, 585, 7643, 952, 596, 2461, 1869, 17237, 269, 1403, 596, 2461, 18226, 856, 267, 581, 2386, 547, 1152, 1931, 6980, 596, 917, 596, 666, 9096, 543, 5924, 2307, 2818, 540, 707, 1895, 547, 2671, 3677, 8286, 609, 596, 563, 24165, 570, 7709, 281, 1879, 596, 979, 856, 547, 3548, 267, 581, 13533, 540, 875, 1454, 1426, 596, 2461, 19280, 543, 1118, 2386, 547, 2307, 707, 7746, 875, 2462, 6980, 267, 5011, 267, 543, 12608, 9088, 616, 950, 596, 2461, 18516, 269, 901, 786, 948, 596, 1118, 1732, 3653, 23655, 3664, 543, 4688, 2724, 563, 276, 269, 5269, 946, 540, 707, 2451, 13569, 454, 2252, 596, 1439, 909, 5986, 1932, 1454, 1426, 585, 835, 540, 707, 6980, 267, 4688, 707, 2451, 13569, 585, 519, 3018, 6619, 269, 4643, 547, 1491, 707, 2451, 13569, 585, 12899, 519, 1985, 1554, 610, 723, 621, 1586, 519, 1985, 3781, 269, 1411, 666, 1256, 2490, 707, 2451, 13569, 883, 6216, 1007, 6980, 267, 971, 607, 6220, 707, 19323, 8286, 610, 9269, 1286, 322, 817, 609, 17339, 6006, 547, 1118, 513, 12403, 563, 24165, 570, 7709, 281, 1403, 707, 2451, 13569, 616, 1869, 1434, 855, 596, 2461, 711, 538, 519, 7099, 547, 3548, 873, 1318, 2476, 267, 596, 666, 2141, 6529, 873, 538, 707, 29606, 585, 519, 1318, 942, 269, 3807, 581, 2386, 547, 1305, 513, 12576, 585, 3054, 865, 596, 3580, 3314, 547, 979, 1394, 543, 9096, 873, 2663, 563, 277, 269, 3281, 739, 707, 10051, 29578, 454, 6624, 540, 938, 10051, 29578, 616, 2965, 1426, 602, 666, 581, 11003, 539, 269, 1411, 666, 2057, 18530, 707, 29578, 2476, 267, 543, 3079, 1450, 707, 10051, 3653, 630, 7945, 607, 10448, 29578, 610, 4232, 1084, 3132, 264, 547, 31693, 883, 11003, 267, 5356, 513, 1259, 547, 6992, 1125, 543, 2087, 3037, 269, 901, 568, 513, 1454, 811, 5363, 1505, 540, 1426, 3653, 2359, 607, 621, 3947, 1394, 547, 519, 4541, 267, 2864, 982, 31362, 621, 2899, 621, 21128, 693, 519, 25087, 563, 24165, 570, 7709, 281, 8347, 606, 3167, 735, 8803, 585, 2656, 543, 3190, 6954, 24600, 256, 4635, 700, 23449, 666, 1256, 948, 596, 17108, 519, 24600, 1184, 676, 8840, 1524, 707, 5214, 3653, 883, 8770, 11656, 13897, 563, 278, 269, 9523, 707, 1426, 454, 2252, 596, 2461, 2451, 609, 1804, 9424, 540, 9985, 1434, 1426, 596, 917, 596, 610, 707, 1920, 4465, 1406, 3548, 267, 596, 666, 2015, 4687, 621, 609, 1866, 269, 20644, 547, 2285, 621, 547, 707, 12543, 267, 2828, 267, 610, 32283, 619, 945, 1131, 581, 18507, 585, 621, 269, 1411, 666, 849, 1413, 883, 1810, 908, 1022, 21045, 1426, 630, 16838, 952, 621, 779, 5594, 2250, 922, 1163, 597, 344, 4266, 264, 547, 2199, 1347, 885, 543, 1426, 8492, 538, 991, 563, 24165, 570, 7709, 281, 1403, 596, 1810, 1406, 917, 707, 12543, 1360, 1134, 267, 596, 666, 946, 1114, 4609, 543, 8924, 547, 1265, 1004, 5461, 538, 707, 1426, 269, 6333, 3843, 606, 813, 899, 9986, 1470, 547, 1265, 1004, 7404, 945, 616, 5461, 538, 2921, 707, 1426, 1055, 707, 3946, 563, 276, 1655, 2472, 547, 948, 2569, 707, 1426, 3653, 454, 2691, 621, 2501, 547, 4227, 707, 1426, 3653, 267, 972, 616, 7899, 540, 1007, 4066, 585, 3653, 5786, 602, 666, 948, 269, 1452, 616, 513, 1906, 540, 519, 1655, 2472, 547, 2569, 1426, 3653, 563, 299, 23449, 568, 606, 5499, 10051, 27115, 602, 9397, 1524, 1426, 3653, 883, 8770, 11656, 13897, 269, 15439, 1747, 707, 9516, 1426, 543, 1418, 923, 3330, 700, 23449, 267, 543, 596, 3580, 581, 2111, 547, 1711, 13897, 602, 666, 581, 19184, 539, 610, 1031, 547, 17108, 519, 24600, 1184, 269, 1411, 666, 849, 1711, 13897, 547, 4677, 543, 5924, 1332, 1426, 676, 1210, 700, 23449, 779, 22320, 7154, 563, 25820, 281, 1269, 275, 4200, 630, 335, 878, 532, 4566, 2139, 994, 29410, 7121, 281, 28881, 735, 8803, 454, 1432, 779, 1390, 827, 621, 281, 4635, 700, 23449, 547, 31693, 3653, 1447, 839, 23435, 294, 5434, 267, 1519, 15655, 563, 3963, 596, 991, 621, 281, 700, 23449, 779, 2702, 547, 2736, 1524, 5613, 267, 5388, 267, 543, 811, 3653, 883, 8770, 11656, 13897, 2636, 596, 547, 9004, 3653, 267, 7432, 707, 24906, 1426, 883, 3407, 2200, 543, 4758, 1394, 547, 519, 1604, 563, 289, 1663, 20625, 568, 513, 1507, 3926, 585, 707, 26806, 602, 2337, 1832, 707, 1426, 4195, 585, 3476, 269, 898, 1568, 676, 21716, 519, 2802, 22005, 3154, 13671, 538, 707, 26806, 602, 5012, 547, 707, 3132, 2469, 547, 3653, 269, 1773, 5217, 18671, 20625, 538, 707, 26806, 2337, 1832, 707, 1426, 4195, 585, 3476, 267, 865, 596, 723, 942, 547, 2972, 707, 3132, 543, 2569, 27253, 720, 563, 25820, 281, 1269, 1556, 269, 4200, 585, 513, 476, 273, 1790, 871, 454, 29410, 7121, 281, 5253, 11091, 454, 1432, 779, 1390, 827, 621, 281, 29452, 10110, 519, 575, 13293, 538, 707, 26806, 602, 936, 268, 686, 5155, 707, 1426, 563, 3963, 596, 991, 621, 281, 4635, 18671, 20625, 8952, 519, 3132, 538, 707, 26806, 4195, 585, 909, 547, 476, 274, 2053, 3476, 563, 274, 269, 590, 3405, 614, 2605, 3805, 23173, 454, 763, 590, 3405, 614, 2605, 3805, 23173, 568, 513, 1590, 3620, 1511, 585, 4896, 945, 11148, 547, 7340, 1018, 789, 2907, 723, 693, 1753, 269, 634, 5100, 8254, 3217, 513, 8666, 540, 782, 519, 1426, 538, 707, 26806, 1169, 942, 596, 2673, 519, 7450, 267, 3850, 596, 547, 3251, 909, 3562, 15082, 593, 1018, 596, 723, 267, 16382, 596, 616, 269, 898, 779, 849, 2111, 547, 5431, 1367, 3688, 543, 1039, 873, 547, 707, 10918, 1592, 950, 789, 2196, 856, 267, 3850, 596, 547, 1118, 21273, 10918, 3664, 563, 29410, 7121, 281, 23108, 1356, 344, 3919, 454, 1432, 779, 1390, 827, 621, 281, 634, 5100, 8254, 19306, 2592, 540, 26806, 9115, 267, 865, 596, 2141, 917, 1018, 596, 723, 543, 950, 3688, 991, 547, 581, 8719, 563, 3963, 596, 991, 621, 281, 4635, 519, 2605, 3805, 23173, 11151, 596, 689, 11449, 3688, 596, 1810, 1406, 991, 267, 1247, 849, 4946, 3688, 596, 2196, 856, 540, 547, 707, 10918, 1592, 563, 7069, 15933, 1811, 568, 513, 1863, 813, 602, 2337, 596, 3605, 10346, 602, 946, 519, 5820, 596, 723, 693, 1753, 269, 634, 813, 3947, 596, 10531, 7594, 10372, 1759, 593, 707, 7375, 602, 1450, 596, 547, 946, 519, 9115, 540, 707, 10051, 543, 2057, 27830, 1426, 269, 898, 849, 2636, 596, 547, 4688, 707, 5172, 10346, 267, 865, 596, 3580, 2760, 723, 547, 4898, 1018, 547, 1118, 585, 12129, 1586, 563, 29410, 7121, 281, 1234, 10360, 813, 454, 1432, 779, 1390, 827, 621, 281, 5510, 619, 10531, 7594, 10372, 1759, 593, 519, 9115, 540, 707, 10051, 543, 707, 7375, 563, 3963, 596, 991, 621, 281, 4635, 519, 813, 2636, 596, 547, 3605, 1007, 10346, 1500, 609, 519, 5820, 596, 2907, 723, 267, 3850, 596, 547, 1118, 946, 540, 1426, 602, 1522, 6382, 979, 547, 3653, 563, 30469, 1470, 568, 606, 813, 602, 2636, 3755, 547, 2671, 1426, 267, 27022, 267, 543, 811, 609, 741, 12543, 269, 634, 813, 2636, 596, 547, 2022, 707, 4430, 1426, 543, 824, 2139, 3688, 593, 519, 813, 267, 1141, 824, 2199, 3755, 786, 581, 2111, 547, 1294, 1018, 596, 723, 2139, 269, 898, 779, 513, 1390, 1259, 547, 2057, 27830, 1919, 596, 1100, 3476, 991, 267, 1247, 849, 4543, 856, 1004, 538, 707, 2146, 563, 25820, 281, 5131, 547, 4647, 282, 31941, 687, 2139, 585, 1269, 273, 269, 5392, 270, 24629, 610, 1269, 277, 269, 4200, 270, 20204, 563, 29410, 7121, 281, 5253, 6879, 2130, 813, 454, 1432, 779, 1390, 827, 621, 281, 14190, 338, 596, 547, 2671, 543, 1265, 21045, 1426, 543, 824, 3688, 609, 1004, 7404, 563, 3963, 596, 991, 621, 281, 634, 813, 2636, 596, 547, 9108, 2022, 3688, 596, 723, 2139, 543, 3406, 585, 3688, 596, 991, 267, 865, 596, 543, 707, 12543, 666, 1265, 1018, 789, 991, 543, 2569, 3653, 563, 279, 1390, 2200, 547, 2638, 856, 585, 811, 1426, 3653, 6604, 4388, 454, 2467, 616, 7899, 540, 3435, 547, 2569, 1426, 3653, 602, 616, 5363, 267, 543, 1169, 3787, 540, 4674, 12523, 269, 1403, 596, 8910, 899, 547, 1451, 811, 4388, 547, 2569, 1426, 3653, 693, 1753, 543, 811, 267, 2638, 856, 891, 824, 2200, 267, 782, 540, 799, 1331, 3621, 8100, 912, 268, 1215, 547, 2569, 1426, 3653, 910, 589, 476, 1001, 280, 2376, 689, 6481, 5240, 4653, 7234, 476, 1626, 1114, 2081, 547, 2569, 3653, 693, 1753, 267, 1153, 267, 543, 960, 563, 268, 634, 630, 29909, 264, 20023, 8862, 4292, 6651, 281, 476, 1911, 266, 9669, 585, 26805, 2659, 17904, 9453, 21744, 2659, 5020, 910, 589, 476, 1708, 272, 1433, 676, 19784, 9253, 534, 773, 28553, 541, 3626, 602, 7710, 513, 3099, 540, 2081, 596, 666, 2661, 513, 811, 4264, 1272, 543, 2569, 707, 3327, 11640, 563, 268, 476, 276, 4388, 547, 2569, 1426, 3653, 910, 589, 2110, 476, 1708, 272, 3381, 689, 519, 6167, 5113, 19510, 602, 6227, 519, 2942, 1764, 540, 1426, 2530, 543, 3653, 543, 2653, 4388, 593, 875, 649, 666, 2253, 547, 1118, 513, 3017, 563, 268, 476, 736, 14168, 18467, 547, 21079, 2659, 5253, 17904, 910, 589, 476, 1001, 278, 2376, 689, 2657, 1467, 24223, 476, 736, 4388, 585, 3362, 4227, 3653, 267, 2059, 609, 1271, 1344, 563, 268, 634, 20023, 17904, 4258, 325, 281, 7233, 268, 2690, 1189, 31204, 543, 9669, 585, 513, 12655, 28881, 543, 14136, 910, 589, 476, 1708, 272, 3434, 1504, 676, 14732, 5336, 541, 773, 12844, 928, 879, 602, 779, 2407, 540, 1390, 10346, 602, 786, 948, 596, 2226, 513, 4642, 3653, 10051, 563, 268, 5253, 17904, 3123, 8693, 7827, 269, 3371, 779, 875, 649, 3247, 621, 269, 910, 589, 476, 1708, 271, 3381, 1557, 689, 3776, 21744, 8693, 602, 7710, 875, 938, 3653, 568, 18363, 519, 4541, 543, 519, 2241, 3435, 602, 666, 948, 2569, 938, 3653, 563, 268, 476, 1428, 11822, 9669, 547, 570, 871, 548, 5253, 17904, 693, 5851, 910, 589, 476, 1001, 279, 2376, 689, 7186, 18610, 10787, 916, 8720, 2653, 10918, 267, 4859, 267, 5986, 267, 543, 4687, 4388, 602, 786, 948, 596, 2569, 707, 3653, 563, 268, 5253, 17904, 267, 6820, 12017, 518, 1299, 1411, 1923, 1948, 1805, 641, 763, 310, 4292, 910, 589, 2110, 476, 1708, 271, 3381, 689, 519, 2622, 5253, 19510, 24223, 7194, 543, 1018, 666, 581, 2944, 547, 1118, 513, 3017, 563, 3086, 602, 596, 917, 540, 930, 2081, 547, 2569, 7622, 1426, 3653, 267, 621, 779, 942, 547, 1589, 827, 1018, 1426, 3653, 5786, 2409, 596, 8910, 899, 547, 2119, 269, 1403, 596, 2461, 5461, 538, 3695, 930, 540, 519, 1007, 2029, 547, 2569, 1426, 3653, 267, 2638, 856, 1018, 1004, 616, 6031, 827, 700, 23449, 563, 24309, 676, 281, 918, 18974, 9741, 0, 9213, 267, 476, 4792, 2929, 1004, 263, 641, 839, 538, 513, 1007, 9184, 264, 2661, 607, 15076, 610, 616, 19774, 1369, 741, 1753, 2477, 2443, 811, 982, 693, 1022, 824, 1448, 263, 641, 839, 538, 513, 1007, 9184, 264, 2094, 519, 772, 12991, 269, 25083, 324, 10837, 3459, 10655, 1239, 269, 3509, 2477, 723, 8118, 741, 10665, 547, 1346, 19774, 676, 2112, 543, 26380, 267, 855, 6560, 547, 6023, 519, 1804, 27614, 563, 1607, 2518, 6433, 568, 1419, 29144, 607, 606, 11566, 4161, 585, 799, 1100, 835, 666, 2709, 513, 25685, 3070, 269, 1809, 972, 568, 513, 1305, 540, 2645, 263, 641, 839, 538, 513, 1007, 9184, 264, 602, 1131, 948, 721, 267, 607, 513, 2518, 2486, 267, 1491, 2101, 682, 2355, 4464, 538, 5466, 713, 6433, 269, 594, 6415, 6158, 827, 16762, 12642, 263, 641, 839, 538, 513, 1007, 9184, 264, 2443, 519, 8579, 2257, 630, 16341, 1131, 2161, 1148, 264, 602, 15183, 1699, 543, 2250, 1239, 547, 3589, 2104, 4093, 563, 2026, 513, 1279, 29280, 19995, 540, 16762, 12642, 267, 594, 917, 519, 2361, 568, 4712, 547, 1491, 593, 713, 4161, 263, 641, 839, 538, 513, 1007, 9184, 1040, 1809, 2797, 543, 2883, 4155, 4565, 4169, 616, 5329, 721, 689, 5466, 519, 6433, 563, 5472, 519, 30270, 585, 519, 1732, 851, 540, 519, 2487, 8717, 267, 16762, 12642, 616, 1631, 1031, 538 ]

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

[ 538, 8006, 267, 713, 27705, 6520, 882, 545, 2934, 26007, 540, 18477, 3615, 267, 16113, 1519, 519, 20167, 328, 3547, 12440, 267, 3752, 630, 1492, 3141, 1070, 543, 700, 10044, 630, 1492, 7599, 264, 630, 8201, 476, 272, 1040, 21452, 2614, 267, 519, 12210, 781, 1374, 14687, 5702, 609, 11673, 3177, 538, 1896, 6196, 11620, 15102, 5532, 547, 15584, 630, 293, 1716, 773, 267, 476, 1001, 274, 6393, 4407, 1100, 17046, 6169, 6818, 16046, 519, 3026, 3630, 21708, 2598, 330, 2047, 547, 15584, 610, 519, 25232, 267, 922, 6228, 1281, 6542, 602, 3504, 9082, 2066, 2342, 543, 5607, 4371, 4359, 24300, 540, 17651, 1279, 1354, 13166, 6444, 7389, 630, 306, 11155, 11839, 267, 476, 1001, 280, 1040, 9182, 267, 621, 3788, 26363, 602, 15584, 1223, 723, 15600, 2147, 24666, 1702, 1282, 1010, 10715, 267, 10128, 971, 17184, 7326, 883, 519, 13439, 1417, 12355, 5132, 780, 9654, 269, 10390, 692, 1103, 3932, 267, 938, 3408, 540, 15584, 543, 1010, 2078, 609, 7326, 3332, 8761, 513, 1950, 13795, 18955, 689, 16060, 540, 3309, 10459, 267, 1519, 9125, 334, 770, 25348, 267, 5527, 1108, 267, 543, 519, 1353, 540, 3504, 1381, 338, 269, 1635, 8508, 606, 15834, 1935, 267, 649, 10625, 4195, 5380, 593, 2085, 6040, 2055, 7282, 15584, 262, 3020, 3961, 267, 18144, 267, 543, 18517, 269, 5015, 267, 713, 5499, 12191, 32514, 919, 6456, 7516, 1369, 519, 6196, 11620, 3294, 267, 17766, 1007, 1769, 593, 942, 3620, 517, 1819, 5931, 543, 7393, 938, 2949, 8223, 540, 13400, 6386, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 20636, 5856, 543, 11001, 593, 1686, 267, 744, 12717, 966, 2177, 590, 5183, 24518, 267, 9382, 10058, 454, 10177, 806, 689, 2959, 540, 25196, 543, 3504, 1686, 538, 1931, 547, 30035, 519, 454, 3240, 20712, 540, 519, 3140, 15584, 269, 901, 849, 2882, 1010, 7634, 540, 454, 534, 2615, 1381, 545, 2175, 543, 22612, 13655, 267, 5892, 1419, 454, 10864, 21124, 593, 519, 3376, 3140, 1377, 563, 763, 5856, 781, 8906, 454, 935, 1356, 940, 519, 3504, 1381, 338, 1397, 1271, 10569, 547, 606, 23762, 454, 7290, 5566, 10155, 910, 513, 4241, 2250, 2484, 811, 10731, 543, 4359, 982, 454, 324, 6123, 281, 910, 1759, 593, 2090, 543, 1382, 540, 849, 24666, 1686, 543, 454, 292, 5118, 1108, 519, 5856, 814, 3370, 513, 2189, 1521, 1047, 593, 519, 9510, 5182, 454, 14090, 540, 519, 1158, 269, 1306, 519, 1101, 11001, 547, 25034, 1518, 519, 3504, 454, 15574, 538, 519, 4786, 646, 814, 4481, 31889, 519, 454, 1410, 716, 6580, 540, 519, 4786, 910, 513, 3621, 22082, 960, 799, 814, 6591, 454, 514, 1181, 1049, 25621, 543, 2463, 910, 543, 1851, 824, 1919, 621, 814, 454, 4186, 30744, 547, 519, 1101, 3169, 6580, 835, 540, 519, 1034, 1271, 22184, 338, 540, 606, 857, 523, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 310, 529, 3256, 9085, 257, 607, 851, 540, 834, 32628, 1315, 19978, 2405, 14591, 1315, 6196, 11620, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 272, 281, 28523, 4479, 910, 589, 7395, 673, 2622, 540, 27884, 692, 5970, 596, 2479, 2938, 513, 12470, 564, 1397, 286, 898, 781, 899, 8384, 513, 2661, 7260, 609, 9589, 3197, 4947, 547, 1272, 1318, 1354, 707, 4064, 256, 28523, 4479, 568, 606, 6909, 1106, 540, 7900, 6575, 1141, 5159, 946, 12470, 1115, 547, 2995, 2984, 267, 1711, 2982, 267, 543, 25407, 9458, 269, 2913, 781, 4685, 883, 713, 4241, 1158, 1927, 2439, 1262, 1432, 568, 28523, 4479, 15140, 5331, 8744, 707, 5172, 11442, 547, 1272, 543, 2348, 621, 3717, 267, 7544, 267, 610, 1256, 2206, 256, 2334, 781, 1018, 12470, 23176, 619, 798, 269, 1358, 13861, 12470, 1115, 1765, 338, 2133, 5515, 1500, 689, 2326, 971, 607, 3574, 267, 5958, 267, 610, 5068, 23121, 957, 856, 2984, 593, 3942, 269, 1452, 2984, 1223, 581, 18912, 8941, 267, 3140, 2621, 267, 610, 3312, 6386, 2813, 1175, 585, 519, 12470, 564, 1397, 780, 265, 30747, 338, 540, 28523, 1115, 17041, 692, 272, 269, 2878, 21652, 28523, 1115, 5093, 7435, 12470, 1115, 616, 6417, 676, 835, 1688, 602, 4422, 3330, 519, 12470, 564, 1247, 519, 824, 1688, 2337, 1847, 922, 17873, 269, 6056, 540, 875, 513, 2241, 1124, 330, 12470, 564, 7575, 950, 596, 2322, 707, 1688, 3330, 621, 269, 2334, 781, 513, 2596, 1826, 540, 1688, 12470, 564, 2336, 273, 269, 2878, 305, 617, 28523, 1115, 5093, 14339, 12470, 1115, 723, 22203, 7923, 547, 741, 7916, 543, 7953, 267, 3850, 519, 12470, 564, 17621, 547, 1852, 873, 1210, 891, 22203, 689, 2630, 610, 1657, 519, 3942, 269, 901, 3947, 519, 21903, 602, 519, 1915, 568, 3001, 10446, 563, 274, 269, 2878, 11321, 542, 22863, 5093, 3057, 542, 22863, 616, 5569, 12470, 1115, 17735, 538, 4571, 1515, 269, 634, 7376, 5578, 2685, 27605, 12673, 4448, 547, 1585, 2694, 540, 519, 2261, 542, 8291, 781, 1560, 547, 1118, 621, 3802, 267, 7914, 267, 610, 1685, 1035, 13681, 1738, 905, 1846, 563, 275, 269, 2878, 4537, 20760, 28523, 1115, 5093, 1744, 20760, 12470, 1115, 616, 6366, 2759, 8083, 4371, 1063, 513, 1769, 2707, 543, 513, 5496, 269, 1879, 6410, 267, 789, 5641, 20224, 602, 2995, 22539, 3308, 2984, 780, 1262, 1692, 6496, 513, 28523, 564, 8058, 4518, 15140, 9617, 899, 1022, 824, 2773, 267, 12470, 564, 2982, 4125, 4058, 267, 2259, 267, 543, 6881, 269, 28523, 23176, 619, 1101, 3442, 513, 1650, 789, 1616, 547, 2671, 269, 3973, 789, 1374, 543, 1628, 1142, 1915, 267, 2870, 2189, 23079, 267, 9739, 267, 543, 14789, 269, 8921, 2501, 31667, 531, 942, 267, 1141, 12470, 23176, 619, 1451, 875, 547, 3142, 741, 13144, 547, 1272, 998, 6297, 5322, 543, 11558, 269, 7053, 267, 789, 16436, 606, 5304, 547, 2972, 519, 1397, 2439, 1262, 29423, 1466, 30880, 4373, 4407, 2757, 12470, 564, 2982, 1832, 519, 22407, 6456, 3297, 519, 10207, 267, 972, 616, 849, 29355, 14364, 6163, 1141, 5304, 2818, 666, 6443, 538, 593, 519, 1187, 269, 5994, 4543, 513, 9649, 15743, 2097, 547, 1272, 610, 13057, 513, 4503, 27959, 998, 513, 25386, 4104, 256, 3414, 7317, 2833, 899, 891, 267, 3214, 666, 1020, 5876, 267, 6568, 267, 543, 1514, 1983, 780, 1262, 18698, 27639, 3414, 28523, 4479, 4373, 303, 6269, 4479, 3884, 1405, 3908, 547, 1022, 2582, 2197, 610, 3148, 269, 3245, 3504, 5259, 4249, 547, 24414, 14692, 12470, 564, 25704, 1572, 10158, 836, 918, 592, 527, 267, 1169, 2528, 814, 922, 1378, 3638, 2245, 540, 12470, 4479, 269, 1635, 1565, 827, 1114, 2010, 540, 12470, 4479, 1472, 519, 1158, 267, 649, 666, 5660, 3309, 7499, 7215, 543, 15052, 938, 1620, 540, 2518, 6561, 780, 3086, 602, 596, 917, 782, 827, 12470, 4479, 267, 1946, 711, 2119, 1818, 707, 1378, 2241, 12470, 564, 543, 8380, 593, 513, 1397, 286, 1411, 1522, 3605, 513, 1007, 6612, 585, 9423, 610, 3274, 723, 513, 1390, 942, 4687, 17409, 543, 7772, 609, 2828, 543, 1920, 269, 1924, 979, 6619, 267, 25793, 1662, 707, 9345, 267, 543, 1577, 519, 9059, 540, 12470, 4479, 3560, 596, 547, 8748, 10600, 2407, 540, 7045, 543, 10508, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21202, 2773, 267, 538, 519, 7900, 6575, 267, 3622, 13408, 606, 2680, 538, 799, 513, 1685, 518, 610, 1895, 540, 22407, 1459, 835, 610, 811, 1568, 540, 1148, 547, 606, 5304, 269, 15394, 519, 22407, 7119, 538, 31667, 1023, 25656, 269, 2991, 2072, 5304, 2818, 1419, 3365, 7596, 563, 763, 1797, 540, 11589, 7071, 666, 4268, 676, 2528, 269, 4457, 22407, 786, 804, 777, 609, 519, 5304, 693, 519, 1439, 540, 513, 2773, 282, 519, 2132, 3365, 1021, 6786, 834, 628, 1678, 596, 257, 547, 519, 5304, 269, 769, 3567, 267, 12563, 7900, 268, 11301, 12644, 4122, 4482, 2043, 945, 1491, 11147, 267, 3006, 3478, 909, 547, 519, 3942, 543, 1369, 6279, 540, 1685, 518, 781, 8188, 563, 15919, 519, 12270, 1899, 1063, 1685, 518, 543, 519, 5304, 949, 1831, 23324, 267, 607, 538, 519, 1383, 540, 834, 4820, 4602, 2218, 16222, 257, 1141, 5304, 2818, 1205, 3238, 538, 519, 2504, 563, 763, 520, 3740, 12644, 666, 1491, 1747, 3232, 610, 693, 930, 824, 2834, 8884, 269, 9524, 1734, 666, 1491, 1747, 693, 11280, 2773, 5624, 630, 7945, 607, 513, 16222, 610, 13447, 10689, 1070, 610, 538, 513, 1875, 18396, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 303, 6269, 4479, 257, 607, 851, 540, 834, 16300, 16337, 1315, 27400, 8551, 1315, 4937, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 28982, 972, 256, 5620, 596, 2479, 9289, 945, 2337, 1004, 950, 789, 2811, 2469, 998, 9157, 2053, 286, 2107, 6148, 596, 917, 2576, 945, 814, 2877, 1489, 609, 741, 4606, 610, 2623, 286, 2334, 781, 1141, 1514, 4600, 2097, 538, 256, 1358, 616, 4648, 8036, 547, 948, 2043, 267, 3885, 267, 543, 1256, 3003, 2950, 4383, 2352, 3871, 543, 2087, 741, 2949, 1134, 5630, 269, 4653, 649, 786, 2263, 1018, 621, 1797, 547, 581, 513, 1514, 11832, 267, 1946, 789, 616, 865, 1271, 267, 543, 875, 789, 666, 20647, 538, 1114, 2127, 547, 1732, 4196, 1346, 538, 991, 780, 5331, 713, 9183, 281, 589, 1126, 3957, 16092, 2729, 538, 707, 8378, 269, 21298, 267, 16092, 781, 3237, 3893, 32682, 1027, 267, 4929, 513, 2603, 540, 2566, 693, 1753, 269, 1306, 513, 1267, 267, 16092, 6238, 9117, 856, 693, 1153, 543, 10010, 27268, 269, 901, 568, 1141, 513, 1514, 11832, 1223, 1900, 538, 269, 1635, 2324, 5702, 609, 16092, 543, 741, 1920, 267, 513, 1514, 11832, 1131, 2708, 519, 3510, 543, 1020, 513, 1544, 547, 2232, 16092, 781, 2115, 269, 901, 1522, 4125, 8220, 873, 609, 2200, 899, 3797, 610, 23468, 2533, 267, 14957, 593, 741, 15773, 609, 3610, 543, 16984, 267, 543, 3450, 1007, 1983, 602, 3895, 2318, 5615, 543, 12003, 2994, 780, 3086, 1577, 781, 2911, 827, 875, 1514, 4600, 1205, 3323, 538, 741, 11678, 269, 3509, 1514, 4600, 3180, 4487, 781, 5232, 20196, 781, 513, 16681, 1259, 540, 6031, 789, 4682, 547, 10927, 1153, 1310, 15980, 741, 20277, 781, 4110, 630, 6518, 2356, 3217, 2185, 1296, 1040, 1280, 1383, 267, 952, 596, 941, 5461, 538, 4742, 513, 1514, 11832, 14693, 267, 596, 1522, 1101, 7118, 513, 20277, 781, 4110, 538, 6530, 267, 15257, 267, 610, 1776, 4143, 2361, 1354, 7311, 547, 513, 4487, 781, 1982, 538, 1514, 960, 269, 1452, 4359, 3292, 3335, 1491, 1472, 1079, 1296, 547, 9096, 855, 3006, 2709, 18965, 3681, 1932, 269, 4495, 789, 4312, 12236, 741, 4110, 267, 14971, 1514, 4600, 1590, 849, 1780, 1533, 6132, 839, 675, 18362, 547, 2327, 789, 2743, 3318, 4441, 780, 3719, 1934, 2501, 519, 1187, 851, 281, 1703, 616, 1082, 2081, 547, 1445, 707, 4876, 607, 513, 1514, 11832, 256, 1411, 1294, 267, 1175, 607, 7189, 666, 20647, 538, 12963, 338, 267, 3556, 5735, 267, 610, 11719, 344, 267, 1514, 4600, 1419, 13404, 593, 1808, 2152, 2673, 547, 741, 12271, 269, 1284, 1289, 891, 834, 338, 2133, 3074, 2437, 543, 789, 1450, 1514, 4600, 547, 1831, 4966, 538, 1880, 2127, 269, 2913, 803, 2671, 930, 4277, 3283, 609, 596, 1384, 272, 269, 2878, 2704, 4022, 543, 3075, 6057, 5093, 4317, 4600, 7463, 538, 6219, 946, 4713, 948, 7218, 7753, 8213, 676, 3246, 2069, 267, 2126, 3277, 23552, 267, 543, 5571, 1489, 563, 273, 269, 2878, 21609, 10304, 5093, 28968, 2519, 593, 1126, 10304, 12167, 585, 1453, 781, 3106, 543, 1134 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 649, 1131, 581, 2111, 547, 2161, 602, 1269, 337, 3709, 273, 4151, 729, 513, 1455, 27708, 540, 1269, 332, 259, 543, 1269, 333, 259, 630, 25585, 286, 1040, 1109, 2334, 779, 1945, 693, 2547, 780, 763, 3579, 3364, 827, 938, 5690, 1934, 568, 602, 267, 1317, 1269, 320, 3709, 272, 348, 333, 1341, 678, 3709, 272, 348, 815, 544, 259, 649, 723, 602, 2901, 1269, 337, 3709, 272, 348, 815, 476, 271, 259, 543, 649, 2461, 2944, 609, 519, 5690, 267, 610, 1269, 337, 3709, 272, 348, 3436, 476, 271, 259, 543, 649, 949, 1106, 513, 1007, 3830, 1269, 333, 815, 513, 3709, 273, 348, 337, 3709, 272, 348, 1341, 678, 3709, 273, 4151, 282, 713, 3830, 814, 267, 593, 519, 2451, 11804, 2427, 267, 519, 1297, 1269, 333, 259, 799, 568, 1447, 982, 519, 3105, 3830, 779, 2451, 11804, 2427, 267, 799, 729, 1269, 332, 10608, 1109, 8033, 5224, 713, 1184, 267, 649, 786, 723, 1269, 337, 3709, 272, 9574, 678, 3709, 273, 9574, 1422, 25854, 259, 593, 519, 2451, 11804, 2427, 267, 1142, 540, 799, 568, 1447, 982, 519, 835, 799, 3357, 1354, 621, 269, 1109, 5221, 1269, 337, 3709, 328, 348, 1422, 28254, 476, 271, 259, 585, 1022, 540, 519, 2611, 10249, 267, 5555, 621, 786, 1831, 476, 271, 630, 25585, 24047, 543, 713, 5690, 786, 2165, 3729, 269, 1109, 2334, 568, 267, 649, 786, 723, 1336, 930, 1269, 337, 3709, 328, 4151, 799, 568, 513, 1455, 27708, 585, 1312, 1269, 333, 267, 544, 259, 282, 4481, 267, 621, 786, 581, 519, 1269, 337, 3709, 328, 4153, 928, 336, 476, 271, 259, 971, 602, 1269, 337, 3709, 328, 266, 272, 348, 815, 476, 271, 259, 630, 528, 267, 621, 949, 3274, 581, 1269, 333, 259, 952, 1269, 333, 259, 17337, 1269, 332, 259, 6393, 1607, 5690, 267, 1572, 519, 28070, 23990, 267, 2965, 1281, 811, 834, 2246, 558, 5597, 9899, 621, 711, 1152, 9060, 513, 1455, 27708, 267, 855, 2965, 9060, 519, 6574, 1455, 27708, 540, 1269, 332, 19885, 8961, 799, 267, 689, 1631, 593, 267, 649, 786, 20301, 4399, 326, 7251, 9852, 19885, 30879, 1109, 634, 834, 16513, 257, 540, 713, 568, 3274, 15663, 602, 4399, 326, 7251, 9852, 19885, 264, 815, 1422, 326, 7251, 3799, 267, 337, 3709, 272, 16585, 815, 1422, 326, 7251, 16868, 3709, 272, 9574, 337, 3709, 273, 16585, 815, 1422, 26984, 815, 1422, 326, 7251, 16868, 3709, 328, 268, 272, 9574, 337, 3709, 328, 16585, 815, 678, 3709, 328, 4151, 630, 933, 7074, 713, 1657, 1510, 1818, 4704, 547, 519, 575, 7251, 267, 855, 519, 5467, 1058, 3801, 547, 979, 998, 782, 519, 1482, 3268, 1210, 519, 2856, 540, 519, 575, 7251, 6393, 3383, 269, 1109, 1403, 596, 723, 1079, 2067, 2338, 267, 1269, 333, 31599, 8961, 596, 7941, 873, 267, 1265, 519, 14230, 267, 2328, 519, 3830, 267, 1287, 3136, 607, 1657, 2394, 596, 1205, 513, 476, 271, 14230, 269, 1109, 3973, 596, 4584, 519, 14230, 2047, 1354, 596, 3893, 476, 271, 607, 707, 575, 7251, 630, 528, 267, 596, 4584, 519, 4130, 1297, 952, 835, 1297, 17337, 519, 824, 1040, 1109, 30474, 2241, 5690, 267, 855, 568, 621, 3608, 2496, 21413, 2469, 883, 6101, 834, 324, 11797, 257, 8847, 267, 834, 13433, 2580, 621, 568, 3833, 3608, 269, 1109, 1677, 6961, 621, 267, 1577, 779, 1491, 606, 834, 320, 2071, 257, 1383, 1210, 519, 834, 26171, 257, 2338, 476, 15836, 8064, 275, 29121, 279, 543, 476, 275, 2641, 277, 2641, 273, 269, 1109, 1284, 4063, 602, 630, 2421, 4050, 543, 1957, 267, 610, 676, 1210, 513, 3044, 9498, 264, 602, 692, 15836, 8064, 275, 29121, 279, 815, 476, 28766, 263, 275, 2641, 277, 2641, 273, 264, 1341, 476, 9610, 25851, 275, 780, 9202, 267, 649, 4063, 602, 692, 275, 2641, 277, 2641, 273, 815, 476, 274, 263, 9610, 25851, 275, 264, 1341, 476, 271, 692, 6518, 14678, 3947, 721, 519, 3070, 4399, 326, 7251, 263, 275, 2641, 277, 2641, 273, 267, 476, 15836, 8064, 275, 29121, 279, 264, 815, 476, 9610, 25851, 275, 10608, 1109, 2334, 779, 7168, 15813, 269, 1109, 8074, 602, 713, 729, 606, 2523, 2656, 4693, 267, 855, 1256, 519, 834, 342, 528, 560, 257, 3283, 616, 5266, 2656, 780, 308, 10811, 4624, 4856, 3326, 776, 256, 281, 1109, 1280, 1269, 333, 31599, 259, 2067, 2338, 267, 952, 4399, 326, 7251, 3799, 31599, 264, 815, 737, 259, 1287, 972, 6818, 9981, 1269, 320, 14720, 259, 971, 602, 1269, 534, 1341, 536, 332, 815, 737, 16859, 1607, 568, 811, 3730, 982, 596, 1522, 1589, 693, 1101, 16145, 267, 543, 649, 3580, 1205, 883, 1946, 538, 513, 2663, 2022, 267, 855, 1018, 779, 8799, 827, 713, 1351, 3326, 776, 568, 602, 621, 2501, 834, 1721, 1863, 257, 689, 519, 28070, 5690, 269, 1109, 8074, 602, 267, 2094, 1269, 330, 259, 17337, 1269, 333, 267, 544, 8961, 621, 3411, 1182, 547, 6961, 713, 1351, 3326, 776, 585, 1269, 534, 1341, 536, 332, 815, 476, 272, 259, 1141, 1269, 333, 267, 544, 259, 723, 4399, 326, 7251, 3799, 31599, 264, 815, 476, 272, 10608, 1109, 634, 6169, 3096, 15632, 593, 519, 1297, 540, 3268, 540, 519, 28070, 5690, 585, 1346, 2338, 267, 855, 585, 1346, 540, 596, 945, 616, 811, 4810, 543, 917, 22606, 12980, 267, 596, 949, 2972, 519, 1739, 2241, 6169, 1384, 257, 290, 548, 591, 257, 19577, 540, 519, 4856, 3326, 776, 281, 2913, 1269, 332, 3436, 562, 259, 630, 1721, 7862, 267, 519, 6169, 568, 2653, 1040, 1109, 1284, 786, 1152, 1416, 827, 2611, 10249, 538, 713, 6169, 267, 865, 649, 786, 1413, 693, 930, 2338, 1110, 25222, 1269, 332, 10608, 1109, 6333, 692, 259, 337, 3709, 272, 348, 815, 562, 315, 7116, 544, 6911, 259, 337, 3709, 273, 348, 815, 476, 273, 333, 315, 7116, 544, 6911, 7445, 341, 25854, 6911, 259, 337, 3709, 332, 268, 272, 348, 815, 630, 332, 268, 272, 264, 333, 315, 7116, 544, 6911, 9616, 972, 616, 4010, 1269, 332, 268, 272, 259, 2611, 10249, 1934, 543, 602, 519, 14230, 1269, 271, 259, 2760, 4386, 630, 26238, 1269, 332, 19885, 259, 616, 5266, 6305, 1040, 1109, 14597, 602, 1269, 337, 3709, 328, 348, 1422, 928, 336, 476, 272, 259, 585, 1142, 540, 519, 1269, 328, 259, 282, 602, 568, 267, 519, 14230, 476, 272, 1281, 711, 2479, 1397, 909, 538, 713, 1592, 269, 1109, 1635, 519, 25190, 517, 3620, 1961, 6240, 630, 553, 972, 616, 1269, 332, 910, 476, 272, 259, 2611, 10249, 855, 1152, 1269, 332, 910, 273, 259, 2009, 2418, 585, 519, 2611, 10249, 264, 649, 1590, 723, 602, 1269, 337, 3709, 328, 348, 815, 678, 3709, 329, 4151, 585, 930, 1269, 328, 315, 928, 336, 795, 10608, 1109, 2334, 568, 267, 649, 723, 692, 259, 514, 1422, 7116, 544, 815, 795, 333, 1422, 7116, 544, 6911, 6518, 10522, 692, 259, 263, 328, 18191, 264, 333, 315, 7116, 544, 815, 476, 271, 6911, 8117, 713, 568, 7543, 267, 2094, 621, 10522, 602, 2901, 1269, 332, 815, 476, 271, 259, 610, 1269, 333, 259, 568, 930, 8870, 2789, 540, 1269, 332, 8961, 855, 1269, 332, 3436, 476, 271, 259, 543, 649, 723, 17648, 1269, 332, 19885, 259, 616, 5266, 6305, 269, 1109, 9747, 267, 519, 14230, 1269, 272, 259, 1590, 2049, 269, 1109, 2334, 568, 267, 1269, 337, 3709, 322, 348, 815, 476, 272, 259, 585, 930, 1269, 322, 259, 543, 692, 259, 322, 333, 1422, 7116, 544, 815, 476, 272, 269, 6911, 3719, 1018, 1281, 713, 1611, 286, 1109, 898, 1797, 602, 972, 568, 930, 8870, 1269, 320, 259, 971, 602, 1269, 600, 910, 524, 333, 815, 476, 272, 10608, 1109, 1677, 1118, 713, 840, 1777, 1512, 267, 1577, 1269, 321, 815, 910, 322, 259, 543, 649, 1265, 602, 972, 6818, 1269, 320, 14720, 259, 9981, 971, 602, 1269, 600, 1341, 536, 333, 815, 476, 272, 8961, 607, 2838, 269, 1109, 4399, 26213, 6911, 303, 4958, 1399, 521, 5585, 267, 1100, 286, 0, 258, 476, 12893, 7597, 630, 15893, 2020, 1556, 267, 6321, 280, 630, 25279, 1597, 8536, 2947, 4627, 24239, 5991, 710, 264, 568, 606, 9642, 2947, 1673, 580, 1080, 12432, 1297, 1739, 476, 12893, 6924, 543, 18631, 476, 12893, 3583, 269, 769, 3621, 10035, 267, 621, 568, 2854, 607, 476, 272, 269, 14444, 280, 6398, 476, 10441, 269, 634, 2040, 540, 922, 9704, 568, 476, 2420, 269, 898, 814, 513, 2698, 540, 476, 273, 6305, 2188, 543, 476, 275, 2318, 16975, 269, 1703, 616, 476, 1556, 267, 271, 4510, 2318, 9981, 630, 1575, 547, 476, 12893, 7597, 264, 602, 616, 5266, 6305, 547, 476, 12893, 7597, 780, 1012, 9978, 3601, 692, 1892, 1772, 11788, 286, 3143, 454, 1892, 7089, 26027, 744, 9536, 454, 1892, 7089, 3259, 476, 276, 454, 1892, 5681, 540, 6226, 1080, 476, 2420, 454, 1892, 7913, 17848, 476, 275, 692, 1012, 8745, 692, 14112, 2012, 476, 1556, 8536, 476, 6321, 280, 22221, 8536, 2947, 4627, 24239, 5991, 710, 692, 1012, 3502, 566, 692, 26199, 10035, 476, 272, 269, 14444, 280, 6398, 476, 10441, 476, 1556, 269, 6321, 280, 6398, 476, 9818, 692, 1012, 11788, 16748, 1436, 540, 476, 12893, 7597, 692, 28269, 16748, 1436, 476, 2537, 6398, 476, 2004, 274, 692, 4467, 22683, 1297, 454, 18850, 3307, 11790, 11192, 11790, 7101, 673, 28911, 3799, 264, 476, 273, 11192, 1297, 540, 3982, 6305, 2188, 3852, 358, 3799, 264, 476, 273, 11192, 1297, 540, 6305, 2188, 2234, 3799, 264, 476, 12893, 7597, 8605, 540, 519, 3982, 6305, 2338, 18494, 3799, 264, 476, 272, 16849, 519, 26027, 540, 3852, 358, 3799, 1070, 971, 602, 18494, 3799, 264, 815, 11196, 272, 264, 394, 358, 3799, 264, 13179, 3799, 264, 476, 272, 16849, 281, 476, 272, 267, 952, 562, 814, 606, 1256, 1297, 540, 6305, 2188, 630, 663, 568, 4009, 1863, 264, 6567, 272, 267, 952, 562, 814, 606, 9642, 1297, 540, 6305, 2188, 630, 663, 568, 4009, 1863, 264, 476, 271, 267, 952, 562, 814, 513, 16302, 6305, 3815, 3852, 505, 3799, 264, 476, 271, 16849, 2845, 9638, 264, 952, 562, 568, 513, 1379, 533, 330, 540, 1022, 6305, 533, 630, 1721, 1022, 737, 13843, 476, 272, 1070, 3116, 7024, 476, 271, 692, 763, 6305, 26458, 540, 476, 1556, 267, 6321, 280, 568, 476, 2537, 6398, 476, 2004, 274, 269, 4595, 621, 814, 513, 2698, 540, 476, 273, 6305, 2188, 267, 476, 1556, 267, 6321, 280, 568, 513, 12432, 1297, 780, 1012, 6555, 30583, 540, 476, 12893, 7597, 692, 272, 267, 476, 2537, 267, 476, 2004, 274, 267, 476, 12893, 7597, 692, 275, 16975, 692, 4634, 16975, 476, 271, 476, 275, 476, 273, 476, 273, 454, 13707, 6555, 30583, 5681, 540, 6555, 30583, 1325, 1172, 582, 5681, 26018, 3799, 264, 476, 275, 11192, 1297, 540, 519, 2318, 16975, 540, 562, 21566, 3799, 264, 476, 6344, 9834, 5681, 540, 782, 519, 2318, 16975, 540, 562, 521, 3799, 264, 476, 276, 2767, 5681, 540, 519, 1697, 2318, 16975, 540, 562, 589, 3799, 264, 476, 23714, 275, 16849, 519, 2040, 540, 16975, 630, 17385, 3799, 4297, 5258, 676, 519, 2698, 1297, 540, 16975, 630, 16483, 3799, 4297, 717, 3799, 264, 476, 13040, 269, 4649, 280, 16849, 519, 32671, 3597, 540, 519, 1587, 540, 562, 16975, 670, 3799, 264, 476, 274, 269, 279, 1839, 10463, 16849, 519, 2698, 1297, 540, 16975, 630, 16483, 3799, 4297, 5258, 676, 519, 2040, 540, 519, 23483, 540, 1142, 16975, 692, 763, 1297, 476, 1556, 267, 6321, 280, 666, 581, 5258, 676, 476, 275, 2318, 16975, 630, 719, 540, 799, 476, 271, 616, 1256, 267, 543, 476, 275, 616, 9642, 1040, 634, 2040, 540, 891, 16975, 630, 12248, 532, 476, 1556, 267, 6321, 280, 264, 568, 476, 1321, 267, 6021, 277, 267, 519, 3328, 568, 476, 274, 267, 271, 2190, 780, 1012, 4033, 25226, 12793, 630, 333, 815, 476, 12893, 7597, 2020, 272, 26420, 3799, 264, 562, 454, 292, 17526, 570, 582, 1304, 25844, 19376, 700, 10033, 11788, 13100, 26420, 3799, 264, 476, 8099, 4510, 11192, 1297, 540, 2318, 9981, 711, 3152, 982, 562, 602, 616, 2941, 31870, 547, 562, 18494, 3799, 264, 476, 4649, 273, 273, 9540, 652, 2318, 1297, 971, 602, 513, 16575, 3799, 264, 9881, 350, 476, 272, 630, 7116, 562, 264, 585, 782, 513, 2941, 31870, 547, 562, 12631, 3799, 264, 9881, 486, 476, 16928, 279, 11192, 1297, 540, 22136, 1447, 982, 610, 3160, 547, 562, 678, 273, 3799, 264, 476, 271, 634, 1297, 540, 2081, 562, 666, 581, 6719, 607, 519, 2040, 540, 476, 273, 10945, 692, 2467 ]

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

[ 2623, 1143, 267, 26256, 527, 13659, 543, 4020, 13659, 1185, 1044, 2919, 267, 1991, 547, 519, 1699, 1505, 938, 2729, 616, 6896, 267, 1317, 540, 2029, 269, 13961, 655, 839, 23083, 513, 4195, 3069, 540, 1565, 4470, 593, 519, 1007, 1480, 2783, 281, 4045, 13659, 269, 769, 713, 1413, 693, 267, 1702, 568, 4092, 538, 1004, 543, 3457, 563, 13981, 543, 1620, 1964, 593, 3309, 8369, 689, 1896, 2959, 269, 4804, 3587, 513, 5650, 585, 8220, 9136, 540, 1344, 269, 8617, 1565, 568, 2356, 9738, 676, 3274, 14637, 17066, 269, 22996, 12398, 4296, 1063, 1114, 2093, 267, 4610, 540, 1353, 267, 543, 2596, 3741, 269, 9861, 1699, 568, 540, 5393, 1271, 2956, 269, 1656, 3375, 6194, 568, 2731, 513, 1565, 5650, 267, 2495, 7446, 1018, 547, 4487, 543, 2348, 519, 2702, 547, 4308, 609, 519, 13346, 4162, 540, 1344, 269, 4841, 1590, 2490, 883, 6899, 609, 519, 4641, 602, 1018, 568, 9833, 607, 2953, 2221, 1522, 581, 7318, 4636, 1524, 519, 4155, 563, 1607, 3069, 540, 1565, 4564, 513, 5458, 6521, 538, 3206, 281, 602, 1565, 568, 711, 606, 1808, 13287, 267, 2943, 568, 513, 10319, 267, 6422, 543, 2760, 268, 2056, 2534, 630, 306, 22044, 839, 267, 476, 1220, 276, 1040, 769, 700, 4916, 267, 519, 5816, 543, 519, 530, 5942, 814, 1831, 513, 4241, 10319, 1565, 3926, 269, 769, 513, 18500, 8551, 4928, 267, 1053, 711, 15042, 1175, 2638, 856, 513, 1433, 267, 17492, 930, 20202, 5991, 1774, 14391, 725, 267, 543, 4865, 835, 27408, 8584, 6066, 5717, 19430, 676, 519, 4116, 269, 13298, 267, 1053, 5299, 16077, 3842, 513, 1357, 3730, 4199, 883, 513, 2262, 16267, 543, 14391, 622, 25274, 267, 5329, 741, 1880, 960, 593, 14350, 11262, 6167, 4353, 8991, 3201, 590, 2207, 22494, 645, 4785, 3965, 4388, 563, 4407, 930, 6267, 1865, 513, 6429, 1927, 609, 519, 4116, 267, 824, 11570, 616, 1863, 547, 5816, 16555, 585, 519, 1888, 540, 11913, 5188, 610, 1585, 824, 4690, 3330, 519, 1641, 2173, 2660, 2139, 269, 22582, 267, 12964, 6643, 9708, 616, 9648, 782, 693, 2899, 543, 519, 4116, 3274, 814, 5279, 540, 835, 269, 634, 7589, 3902, 540, 1053, 814, 8854, 909, 543, 2852, 1053, 2132, 547, 707, 5816, 1310, 2852, 547, 3136, 741, 1880, 13972, 269, 22996, 1867, 519, 1249, 602, 6643, 998, 5816, 3123, 873, 547, 581, 811, 31659, 543, 2943, 1134, 5483, 1317, 540, 519, 13385, 513, 6101, 14245, 5057, 547, 519, 4928, 6643, 563, 1103, 835, 7521, 267, 519, 1297, 540, 1592, 902, 2968, 4061, 7928, 936, 519, 2110, 1974, 540, 707, 1648, 602, 519, 11207, 1863, 5816, 3101, 1489, 9505, 1524, 519, 2272, 585, 519, 2601, 602, 2534, 729, 2147, 547, 513, 16160, 5907, 10880, 593, 519, 5816, 2985, 7746, 269, 589, 530, 5942, 21528, 1776, 18500, 8551, 1576, 568, 1373, 8246, 547, 1921, 2852, 1053, 547, 519, 7820, 5108, 538, 824, 2477, 899, 3162, 9705, 269, 4841, 2542, 26768, 4634, 902, 723, 3255, 547, 2671, 741, 1880, 4030, 609, 1866, 4947, 689, 1472, 519, 2136, 2829, 540, 13314, 543, 1256, 538, 3486, 2477, 563, 26452, 824, 3255, 2039, 689, 519, 946, 540, 27699, 312, 14154, 585, 17167, 6954, 7125, 1472, 519, 1158, 547, 1585, 824, 4448, 5049, 543, 3728, 6835, 3850, 1863, 27322, 267, 29577, 6643, 593, 3584, 540, 1353, 269, 1656, 538, 513, 14579, 12910, 11659, 4928, 267, 6643, 543, 27215, 760, 1949, 1450, 1053, 547, 2259, 741, 2034, 1893, 11601, 609, 741, 14357, 267, 609, 1142, 824, 267, 607, 1134, 607, 609, 1053, 3544, 519, 1362, 269, 634, 4245, 568, 602, 519, 1148, 540, 9316, 814, 1100, 6302, 2221, 269, 1306, 1134, 607, 2230, 616, 1100, 3476, 519, 9993, 789, 941, 538, 519, 2250, 543, 519, 1305, 540, 4066, 998, 713, 3296, 1175, 29565, 2583, 519, 1283, 540, 1018, 568, 2139, 563, 4517, 899, 519, 1565, 3069, 540, 4045, 13659, 2798, 856, 267, 713, 607, 1134, 786, 1689, 269, 4065, 1590, 1491, 4063, 543, 5965, 1053, 547, 3035, 606, 1604, 602, 29263, 538, 5698, 15029, 7683, 4657, 543, 2810, 519, 2645, 602, 1489, 713, 269, 6478, 14409, 543, 1290, 19397, 1280, 5756, 693, 713, 1448, 267, 1382, 814, 1044, 5342, 1369, 519, 1198, 8360, 4393, 568, 9849, 1603, 5759, 585, 1053, 269, 769, 513, 476, 1960, 278, 1353, 267, 15083, 8725, 543, 654, 573, 17507, 13712, 513, 9645, 26430, 540, 960, 827, 713, 1888, 1369, 741, 1382, 1353, 602, 8947, 476, 274, 6113, 1362, 1053, 1210, 2262, 524, 16476, 585, 1603, 563, 5445, 3357, 547, 519, 3932, 538, 741, 1367, 1353, 602, 946, 540, 8360, 21932, 799, 941, 11593, 2139, 547, 1053, 543, 941, 513, 3710, 2987, 851, 540, 741, 3232, 2238, 3366, 547, 14320, 1283, 2298, 543, 4320, 540, 1603, 607, 3379, 547, 513, 2147, 20194, 1895, 1510, 1569, 543, 1489, 17640, 547, 971, 3937, 630, 1960, 278, 1040, 27870, 513, 811, 2487, 12007, 1353, 267, 519, 13345, 540, 2262, 524, 16476, 609, 1896, 476, 274, 6113, 2298, 1053, 593, 519, 3670, 3018, 1974, 8507, 538, 3648, 811, 5499, 267, 811, 3573, 543, 4824, 2511, 563, 1607, 1353, 540, 476, 276, 6690, 543, 1079, 8695, 849, 4080, 2362, 8404, 547, 960, 609, 519, 1603, 5650, 607, 3379, 547, 1957, 543, 15513, 2409, 630, 6826, 1188, 1299, 674, 5930, 8725, 267, 476, 1220, 274, 1040, 769, 700, 4916, 267, 14732, 8055, 5359, 602, 2852, 1053, 616, 811, 5461, 950, 1210, 1362, 4055, 24195, 269, 634, 5640, 1491, 5413, 540, 519, 16134, 540, 946, 547, 13861, 1257, 5048, 547, 1397, 1114, 4845, 3889, 269, 2755, 891, 2010, 540, 2090, 6157, 1448, 547, 2799, 1603, 7274, 543, 2298, 689, 4195, 1053, 267, 3408, 849, 5267, 602, 1762, 10453, 991, 547, 581, 21947, 609, 1688, 25740, 1565, 607, 1134, 267, 799, 814, 1044, 513, 1448, 540, 5188, 585, 930, 942, 563, 288, 890, 823, 676, 7195, 1690, 20321, 1696, 2048, 338, 2798, 856, 602, 1053, 7287, 513, 3309, 6721, 1995, 799, 2262, 21932, 1058, 581, 851, 540, 519, 1995, 2864, 982, 13868, 1688, 25740, 960, 630, 25911, 1690, 20321, 267, 5062, 11390, 1597, 344, 267, 1299, 30086, 527, 793, 7637, 267, 476, 2735, 277, 1040, 2060, 713, 11095, 1377, 267, 519, 1585, 2645, 547, 1205, 1603, 4755, 547, 581, 1034, 2500, 5497, 585, 6267, 950, 789, 616, 1031, 538, 513, 3710, 2987, 1935, 1247, 1210, 2949, 3872, 1982, 2864, 982, 6026, 10446, 630, 21547, 6635, 11037, 267, 476, 2735, 279, 1916, 2467, 616, 1382, 602, 1459, 2370, 610, 1100, 2360, 540, 2165, 21932, 585, 519, 2298, 540, 2875, 6721, 267, 2705, 2073, 513, 13849, 20400, 538, 476, 1960, 274, 4951, 602, 891, 1382, 4043, 547, 723, 1896, 7687, 711, 519, 2547, 602, 568, 519, 6165, 540, 1257, 2861, 4082, 21932, 2864, 982, 519, 8641, 673, 14871, 28497, 630, 294, 21397, 264, 1949, 1031, 2221, 269, 769, 1840, 2073, 519, 2079, 7000, 602, 713, 2186, 540, 2090, 4749, 4125, 6267, 945, 723, 26742, 19631, 1569, 547, 519, 2029, 543, 941, 711, 12913, 609, 519, 1907, 630, 289, 836, 1068, 5937, 992, 985, 267, 476, 1960, 274, 1916, 763, 1184, 540, 1565, 1603, 568, 5393, 1271, 543, 972, 568, 2079, 602, 10525, 875, 1445, 593, 1603, 6791, 9797, 10607, 2875, 10781, 2066, 519, 6437, 269, 5675, 3414, 519, 15099, 18697, 723, 936, 8938, 1296, 540, 3318, 2259, 543, 23278, 4973, 2963, 547, 5351, 713, 1533, 269, 16200, 1382, 814, 1044, 2182, 547, 2097, 676, 267, 2705, 2073, 547, 2731, 2963, 519, 2164, 269, 2290, 540, 519, 7887, 6188, 15297, 568, 519, 2702, 547, 5963, 4865, 513, 2178, 1852, 1895, 585, 3592, 1022, 1353, 607, 971, 1131, 991, 513, 2551, 540, 1053, 945, 849, 1705, 711, 1118, 946, 540, 1603, 607, 851, 540, 741, 1565, 1184, 630, 305, 5661, 3724, 267, 476, 1220, 275, 1916, 15703, 2090, 723, 1044, 4625, 2111, 547, 2703, 2318, 2360, 269, 10738, 513, 476, 1960, 273, 4983, 267, 11709, 19395, 729, 2111, 547, 3313, 602, 1153, 17253, 3646, 593, 1957, 21661, 519, 23527, 538, 2947, 1647, 3506, 936, 513, 2947, 1032, 1974, 8507, 538, 1732, 1603, 543, 1732, 2698, 2875, 9740, 593, 11974, 630, 1960, 272, 1040, 1548, 649, 1058, 723, 4362, 1898, 538, 700, 4916, 1058, 581, 547, 723, 10453, 2328, 5781, 543, 538, 513, 3099, 540, 3029, 1519, 530, 1731, 529, 543, 21075, 2059, 609, 2262, 21932, 269, 1284, 1616, 547, 4063, 1934, 602, 649, 814, 547, 581, 6297, 827, 7311, 1382, 602, 568, 2025, 267, 543, 930, 540, 621, 666, 581, 796, 28300, 762, 563, 763, 2029, 2645, 540, 2221, 616, 5393, 1114, 982, 2899, 5904, 1101, 9411, 3872, 5238, 269, 1306, 606, 1383, 267, 519, 2165, 4393, 3408, 689, 519, 5216, 625, 949, 711, 581, 7357, 13061, 267, 2705, 519, 3301, 811, 5063, 12217, 865, 2370, 11696, 28917, 547, 519, 3301, 538, 519, 3735, 5216, 625, 269, 769, 1840, 2073, 2799, 2875, 630, 663, 4116, 264, 23440, 609, 891, 2645, 786, 849, 723, 606, 1198, 593, 519, 1764, 891, 2645, 1331, 593, 10781, 269, 589, 1883, 13214, 568, 968, 1692, 798, 649, 2268, 519, 1764, 540, 2645, 602, 1689, 3976, 3533, 602, 676, 519, 942, 596, 2268, 741, 1880, 1764, 267, 519, 1585, 2645, 723, 4957, 888, 1103, 824, 1913, 267, 676, 519, 942, 1034, 2090, 2944, 630, 663, 3370, 538, 968, 516, 1584, 762, 2959, 1070, 519, 2029, 814, 4957, 513, 1390, 4308, 602, 519, 1382, 19380, 676, 2547, 1896, 540, 922, 10083, 269, 901, 786, 6157, 581, 513, 1713, 19224, 548, 547, 14710, 269, 769, 513, 3102, 9263, 24595, 3948, 267, 10854, 1068, 5937, 992, 985, 13401, 1776, 13849, 20400, 609, 15049, 2917, 543, 12070, 330, 8657, 593, 519, 1764, 540, 6721, 2066, 519, 3292, 538, 476, 1220, 275, 269, 901, 2079, 267, 799, 11117, 476, 4366, 1382, 267, 3812, 1614, 2101, 8753, 269, 3689, 267, 13629, 585, 1565, 3812, 2318, 2360, 593, 6280, 9740, 3330, 519, 2090, 12649, 563, 763, 2034, 29466, 729, 602, 3446, 2157, 267, 8090, 829, 2534, 267, 543, 21882, 12987, 3893, 1713, 3310, 593, 2164, 269, 634, 2079, 1336, 602, 3292, 8045, 538, 24110, 476, 277, 16357, 279, 538, 1249, 1185, 4389, 12644, 267, 4440, 1813, 547, 519, 2530, 540, 942, 593, 519, 811, 21630, 1543, 4988, 693, 519, 3063, 1377, 269, 7043, 518, 4247, 11338, 20158, 2360, 5310, 547, 1205, 2147, 1974, 23061, 4145, 543, 14820, 2152, 1851, 1053, 269, 634, 6165, 540, 1603, 3340, 7282, 1053, 685, 1699, 24300, 543, 11605, 941, 3833, 2500, 1247, 3340, 585, 2123, 21882, 4951, 1100, 1198, 269, 6271, 4466, 7255, 519, 3259, 540, 2126, 563, 763, 2079, 7000, 519, 3593, 7888, 3932, 602, 1053, 609, 3476, 1995, 540, 1603, 5497, 585, 1565, 12485, 1995, 513, 19469, 1764, 602, 568, 11212, 2318, 630, 1220, 275, 1040, 634, 1382, 5170, 2221, 543, 568, 2938, 538, 513, 1957, 3370, 538, 4065, 10432, 593, 4924, 1547, 476, 1691, 267, 476, 1220, 278, 267, 1141, 519, 13780, 4204, 10495, 540, 12409, 26094, 814, 1044, 7796, 7627, 513, 3059, 1449, 547, 1205, 12570, 6721, 269, 901, 7903, 17767, 519, 1382, 602, 568, 27109, 875, 2852, 1053, 2328, 811, 1419, 267, 540, 1732, 2298, 267, 543, 609, 606, 2333, 540, 11007, 630, 24992, 1312, 25469, 264, 950, 1210, 891, 5686, 540, 1603, 3937, 563, 4517, 3119, 2164, 616, 11744, 602, 2852, 1053, 4043, 547, 1711, 1732, 1369, 519, 4255, 1247, 1210, 519, 2262, 16267, 13863, 630, 290, 24170, 27895, 267, 476, 1220, 278, 1040, 1548, 1223, 581, 6537, 689, 891, 2090, 568, 602, 1603, 267, 1373, 606, 3742, 1565, 1184, 267, 814, 1044, 3254, 547, 7561, 1764, 20194, 9740, 538, 1169, 1641, 2127, 269, 898, 568, 849, 7150, 602, 1053, 945, 723, 15792, 946, 540, 2262, 4393, 538, 14966, 609, 5578, 995, 6044, 1369, 513, 1153, 602, 949, 581, 10771, 5675, 21661, 519, 23527, 666, 581, 21230, 4397, 547, 1020, 2362, 9740, 2164, 269, 20873, 1359, 11473, 454, 1103, 2185, 3657, 2356, 1857, 3506, 267, 513, 1353, 729, 5342, 593, 519, 7145, 540, 2136, 5769, 18297, 3381, 538, 5885, 476, 277, 628, 998, 476, 279, 628, 3446, 6128, 9740, 269, 4841, 941, 840, 543, 2022, 2389, 6479, 547, 1683, 519, 2707, 1239, 5497, 585, 519, 1353, 799, 538, 2490, 7000, 602, 519, 8097, 1895, 1210, 10889, 1359, 3381, 1685, 1732, 519, 1852, 1895, 676, 3274, 476, 275, 269, 1896, 2600, 1063, 15795, 2298, 1053, 269, 901, 2186, 540, 11186, 729, 3254, 547, 581, 19250, 1713, 269, 661, 12915, 3446, 6267, 4951, 513, 1454, 811, 16434, 3888, 618, 11033, 593, 707, 476, 273, 2600, 5413, 799, 538 ]

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

[ 589, 1715, 6733, 693, 4208, 7464, 5153, 15948, 338, 6056, 267, 18461, 267, 543, 2920, 519, 10158, 1284, 1684, 257, 676, 13723, 9410, 12538, 883, 519, 5626, 3344, 540, 2848, 653, 13873, 11856, 267, 1247, 834, 763, 12829, 5153, 26967, 281, 18599, 17778, 547, 513, 13245, 7731, 257, 676, 27050, 700, 269, 20958, 2488, 4052, 5796, 585, 10188, 519, 10848, 540, 20762, 3885, 780, 6962, 1384, 17556, 653, 1861, 532, 4564, 513, 14785, 2943, 14053, 20089, 602, 7125, 2390, 2848, 653, 1861, 338, 547, 3635, 9639, 267, 6043, 267, 543, 8296, 269, 3414, 6857, 4674, 267, 2500, 2792, 267, 543, 2620, 1620, 267, 2848, 653, 1861, 338, 666, 1628, 6209, 7554, 609, 741, 1900, 18244, 267, 5807, 10103, 543, 8788, 1369, 20762, 3885, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 19185, 585, 24321, 2969, 26358, 269, 3883, 4558, 585, 17265, 543, 10992, 2835, 856, 840, 1790, 21332, 454, 763, 21869, 648, 540, 22419, 10163, 1141, 596, 786, 1265, 7734, 513, 28985, 454, 4002, 589, 7246, 313, 2177, 1315, 918, 18853, 4041, 1299, 30633, 476, 273, 7913, 454, 7224, 12069, 1315, 2835, 454, 19185, 585, 24321, 2969, 26358, 269, 3883, 4558, 585, 17265, 543, 10992, 2835, 856, 840, 1790, 21332, 454, 4002, 589, 7246, 313, 2177, 1315, 918, 18853, 4041, 1299, 30633, 476, 273, 7913, 454, 7224, 12069, 1315, 2835, 454, 5970, 1187, 2542, 2835, 693, 2835, 513, 2929, 454, 288, 1390, 5542, 540, 2835, 1175, 585, 596, 269, 1452, 16805, 4589, 723, 1500, 2139, 10643, 602, 786, 765, 339, 707, 14031, 563, 763, 15937, 19024, 1299, 24883, 25028, 10183, 616, 2139, 593, 3911, 1662, 6919, 269, 901, 568, 513, 4960, 547, 1205, 1250, 1433, 267, 2059, 609, 2835, 689, 1082, 824, 1390, 4589, 267, 693, 513, 10958, 865, 596, 666, 1205, 1318, 547, 2542, 563, 2791, 616, 538, 585, 606, 3078, 11878, 689, 891, 4589, 607, 789, 16436, 596, 547, 1491, 851, 538, 741, 13319, 563, 5472, 6168, 26135, 454, 10976, 2207, 476, 736, 21398, 10498, 306, 9215, 8863, 302, 5308, 292, 20978, 454, 3008, 298, 11123, 589, 11555, 26177, 30505, 312, 454, 21837, 729, 519, 932, 4923, 3220, 821, 269, 1261, 9894, 333, 1405, 3442, 547, 581, 621, 269, 1261, 729, 6074, 563, 21837, 1185, 513, 6505, 2104, 269, 1261, 729, 10995, 267, 6010, 762, 267, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 17556, 653, 1861, 532, 257, 607, 851, 540, 834, 28765, 22723, 13493, 1315, 7731, 1315, 2349, 2105, 19198, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 8080, 547, 938, 3460, 998, 519, 4241, 1158, 540, 5036, 543, 2338, 256, 4653, 267, 649, 786, 4685, 2620, 883, 29039, 2338, 1107, 1346, 2898, 2338, 596, 946, 1169, 1554, 547, 1293, 1919, 899, 13212, 267, 2835, 267, 610, 2828, 269, 5620, 596, 2479, 11074, 547, 1589, 827, 1018, 891, 2338, 2731, 1611, 286, 2913, 781, 1265, 856, 1927, 2439, 5331, 596, 723, 513, 2462, 9126, 2407, 540, 1114, 27371, 1107, 2699, 267, 4544, 267, 3039, 267, 543, 5835, 269, 1411, 1522, 1616, 547, 917, 875, 1082, 27371, 972, 616, 538, 2698, 267, 7488, 540, 741, 2681, 269, 1677, 4137, 713, 856, 267, 596, 666, 3274, 1376, 10203, 873, 835, 676, 835, 2394, 596, 2196, 856, 540, 27371, 269, 2334, 3803, 1297, 596, 2161, 16965, 610, 2328, 1524, 568, 1572, 519, 29039, 1297, 540, 707, 18899, 4015, 269, 898, 4564, 519, 7274, 610, 2450, 540, 519, 1305, 540, 27371, 780, 3086, 267, 1577, 781, 1491, 621, 909, 513, 711, 577, 269, 5994, 2348, 1896, 11435, 4904, 609, 1585, 3615, 971, 607, 11442, 6517, 267, 31119, 267, 22796, 267, 21971, 619, 267, 3092, 1421, 1175, 899, 519, 3239, 2630, 1384, 314, 15862, 6609, 281, 589, 4605, 6029, 2947, 11435, 13042, 1412, 11321, 7632, 3299, 1412, 307, 1195, 23663, 3299, 1412, 291, 565, 3149, 3299, 1412, 303, 523, 15078, 3299, 543, 1412, 292, 6652, 619, 8339, 3962, 9126, 3568, 3875, 3688, 269, 6540, 2414, 1174, 519, 2698, 1297, 540, 1367, 3688, 2066, 782, 891, 11435, 267, 596, 1223, 4019, 519, 1482, 10203, 1505, 855, 1131, 991, 547, 1832, 3950, 540, 1141, 596, 2451, 1055, 1142, 942, 596, 6467, 1063, 11435, 269, 901, 1184, 949, 1205, 7294, 3728, 256, 1717, 267, 952, 596, 2907, 917, 519, 29039, 1297, 540, 1142, 5094, 9126, 267, 4946, 873, 909, 3587, 1454, 12863, 269, 1280, 1383, 267, 952, 3057, 7632, 814, 476, 3374, 4773, 267, 23625, 23663, 814, 476, 1626, 267, 26541, 3149, 814, 476, 278, 267, 6755, 15078, 814, 476, 3393, 267, 543, 661, 6652, 619, 814, 476, 2420, 267, 1287, 596, 1152, 991, 547, 1039, 1346, 29039, 2338, 2899, 547, 3313, 519, 6264, 2698, 281, 476, 3374, 1341, 476, 1626, 1341, 476, 278, 1341, 476, 3393, 1341, 476, 2420, 815, 476, 10219, 269, 1656, 642, 11798, 14504, 267, 596, 1631, 917, 519, 5916, 29039, 1297, 8204, 519, 3003, 4015, 2439, 1103, 6128, 267, 2523, 950, 7231, 609, 1305, 3069, 267, 1620, 29039, 2338, 4249, 513, 2629, 1909, 269, 1358, 948, 721, 4766, 519, 7306, 540, 2516, 543, 5512, 2653, 16198, 1063, 10070, 269, 3807, 4952, 3843, 547, 5635, 519, 5666, 540, 31496, 538, 1079, 30660, 1510, 1373, 2111, 547, 3651, 513, 1297, 547, 1142, 1895, 1107, 3833, 4101, 256, 9315, 1400, 2338, 14458, 713, 4305, 543, 1930, 9885, 547, 4514, 6310, 2035, 780, 3383, 3314, 267, 8164, 596, 7237, 513, 3510, 8506, 596, 547, 1293, 610, 22945, 1945, 267, 1589, 1394, 547, 938, 14952, 748, 7045, 3695, 29039, 2338, 256, 4197, 873, 1732, 1797, 30196, 1007, 2081, 540, 3168, 693, 519, 1158, 1472, 721, 267, 1818, 2631, 540, 922, 6988, 1247, 19825, 519, 5898, 540, 16134, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 28494, 6312, 1470, 3613, 24780, 30704, 640, 540, 6211, 1570, 9988, 454, 289, 10157, 12713, 514, 26197, 4320, 476, 1556, 267, 9137, 1297, 281, 476, 29579, 630, 1001, 271, 994, 4415, 519, 11179, 2810, 7569, 593, 1702, 268, 543, 1239, 31193, 602, 12240, 723, 547, 2743, 267, 23835, 3098, 543, 519, 6436, 540, 30704, 640, 789, 946, 1831, 811, 543, 811, 1271, 269, 10251, 267, 4867, 1031, 6436, 543, 14565, 540, 30704, 640, 11032, 947, 3320, 3970, 519, 2773, 540, 23835, 3098, 1813, 547, 1079, 28919, 281, 630, 328, 264, 789, 798, 711, 1450, 519, 5610, 540, 2789, 30704, 640, 5380, 883, 835, 30704, 640, 5943, 282, 630, 4512, 264, 789, 616, 711, 10858, 547, 19469, 268, 6247, 26623, 1947, 6896, 1570, 9988, 267, 799, 3382, 1034, 540, 519, 24118, 1570, 9988, 563, 763, 1657, 5018, 28919, 616, 3743, 585, 519, 2101, 29927, 538, 4867, 1031, 22883, 1470, 3613, 24780, 30704, 640, 14565, 269, 1635, 1210, 519, 9978, 31131, 13115, 1108, 630, 289, 23859, 264, 607, 513, 1283, 7400, 23835, 1108, 543, 3223, 564, 781, 2489, 3069, 540, 30704, 640, 267, 513, 30704, 640, 5943, 568, 4843, 602, 568, 10858, 547, 24140, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 25205, 1400, 10606, 257, 607, 851, 540, 834, 21316, 30388, 1315, 5590, 7869, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 769, 519, 1353, 540, 4984, 543, 6805, 27403, 267, 621, 781, 1898, 547, 4983, 519, 2078, 1063, 3909, 5931, 543, 4207, 2152, 269, 901, 1576, 1770, 786, 5490, 883, 519, 1523, 540, 834, 307, 528, 1695, 585, 8866, 2437, 8220, 621, 547, 6626, 4798, 971, 607, 519, 1764, 540, 2797, 6384, 593, 3909, 17119, 1143, 543, 519, 1909, 540, 10723, 5931, 538, 5935, 1453, 781, 5380, 269, 1284, 786, 849, 2263, 875, 891, 3584, 12969, 609, 1699, 2621, 543, 14046, 1382, 780, 763, 22560, 267, 17194, 781, 13654, 1257, 267, 6585, 10373, 4644, 585, 6014, 2950, 5001, 269, 1280, 3214, 267, 2502, 609, 519, 22560, 666, 581, 1312, 24084, 2287, 543, 4101, 1813, 547, 922, 6988, 543, 3140, 2796, 269, 834, 307, 528, 1695, 585, 8866, 257, 6663, 547, 1459, 2085, 29003, 12496, 602, 6536, 7279, 543, 5289, 2208, 1247, 8716, 5837, 2418, 543, 5683, 2623, 269, 1635, 6313, 713, 1935, 267, 649, 2832, 547, 1174, 875, 10723, 5931, 3310, 1762, 8186, 543, 3337, 741, 11994, 540, 519, 1158, 1472, 873, 780, 303, 11823, 18868, 543, 16241, 6987, 8145, 1143, 692, 2414, 9787, 519, 6286, 540, 834, 307, 528, 1695, 585, 8866, 2437, 1577, 721, 1101, 8495, 519, 3095, 1063, 2797, 6384, 543, 3909, 17119, 1143, 269, 1306, 12006, 538, 938, 6679, 1349, 267, 1585, 5359, 723, 11329, 856, 519, 4276, 1063, 1533, 13384, 11208, 540, 4909, 626, 19237, 543, 519, 4473, 540, 17119, 1143, 269, 13018, 267, 519, 3864, 12057, 17019, 519, 1909, 540, 654, 1695, 4725, 328, 4149, 531, 2378, 1143, 30867, 16600, 15926, 969, 894, 7664, 540, 5771, 24568, 30740, 2518, 18483, 269, 1717, 267, 621, 8959, 547, 2232, 519, 23786, 2188, 7700, 547, 519, 3262, 540, 713, 16809, 269, 4595, 519, 12019, 2782, 5736, 267, 5375, 7060, 6462, 28974, 20816, 538, 519, 5664, 5101, 267, 799, 267, 538, 2490, 267, 1031, 741, 5318, 2200, 547, 29608, 15061, 3909, 10752, 269, 1452, 10752, 1419, 15091, 21055, 12496, 540, 13411, 5931, 267, 3056, 930, 13794, 1524, 513, 2619, 4724, 5208, 543, 22166, 780, 14399, 3395, 909, 896, 891, 7506, 1522, 4835, 1125, 3665, 5784, 693, 606, 2038, 2085, 267, 1818, 873, 811, 11630, 547, 8508, 10795, 19237, 2663, 538, 1272, 269, 9182, 267, 9301, 543, 5466, 519, 1950, 5872, 1063, 6214, 543, 3909, 2069, 3587, 2629, 538, 7303, 519, 9097, 1436, 540, 2104, 5481, 780, 305, 1961, 540, 29042, 31157, 538, 1744, 12686, 5753, 781, 21126, 692, 306, 659, 1042, 5931, 899, 519, 22560, 4196, 607, 7944, 18429, 585, 2679, 5132, 267, 13919, 267, 543, 3961, 1851, 6107, 269, 1358, 1683, 4245, 267, 1612, 1963, 267, 543, 5583, 602, 948, 25666, 4978, 543, 1871, 1949, 269, 1879, 4843, 14013, 267, 891, 5931, 666, 8300, 6568, 267, 8296, 267, 543, 2463, 585, 4763, 269, 10251, 267, 789, 949, 849, 1831, 2645, 585, 5009, 6498, 267, 13842, 267, 543, 7130, 952, 3765, 4310, 610, 3144, 856, 540, 2796, 780, 2690, 3236, 267, 1978, 18627, 1369, 519, 22560, 1223, 5732, 581, 14648, 538, 2081, 602, 5000, 14882, 610, 17181, 776, 2853, 269, 9752, 3214, 827, 891, 15102, 3340, 6297, 7156, 543, 13857, 3137, 547, 2057, 5807, 5739, 8456, 269, 5047, 267, 7855, 1590, 3666, 9306, 2352, 5396, 609, 3246, 15260, 584, 1734, 602, 12927, 2318, 6835, 11251, 2429, 519, 1257, 780, 11328, 21827, 609, 7351, 15638, 543, 7647, 8765, 3194, 692, 13146, 13685, 540, 24431, 655, 12792, 6285, 543, 2799, 26445, 5031, 519, 14849, 991, 547, 3895, 8537, 12496, 540, 3909, 5931, 269, 5525, 1397, 602, 4598, 547, 3309, 16752, 6971, 11830, 2772, 21274, 543, 7512, 2565, 3206, 1983, 630, 303, 9116, 580, 4319, 1299, 18858, 653, 267, 476, 1220, 277, 1040, 4935, 267, 6220, 2789, 5380, 1369, 834, 307, 528, 1695, 585, 8866, 257, 21195, 666, 3565, 3648, 547, 25559, 532, 1761, 12886, 543, 3384, 1930, 16490, 1145, 1851, 1762, 6267, 780, 13010, 267, 5640, 8044, 602, 16042, 3909, 5931, 998, 513, 7828, 540, 1514, 5126, 8992, 4656, 540, 11528, 31716, 543, 26182, 17933, 630, 298, 612, 2401, 267, 476, 1001, 279, 1040, 23889, 5717, 4478, 14619, 267, 7862, 267, 543, 2146, 6278, 1369, 834, 307, 528, 1695, 585, 8866, 257, 666, 7668, 1453, 547, 4019, 741, 1565, 3564, 2123, 20174, 267, 6038, 5807, 3743, 15114, 16135, 538, 3909, 3741, 780, 6962, 692, 8139 ]

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

[ 16783, 609, 519, 3106, 851, 540, 519, 21069, 8943, 593, 6765, 563, 309, 525, 17632, 3710, 1354, 5130, 476, 272, 267, 476, 1001, 278, 1590, 16783, 609, 519, 3106, 851, 540, 519, 21069, 8943, 676, 519, 1101, 13591, 610, 25430, 5619, 267, 627, 31295, 2501, 1101, 267, 1310, 5130, 476, 272, 267, 476, 1001, 279, 563, 763, 3106, 851, 540, 519, 8943, 2882, 1374, 267, 4070, 267, 3937, 267, 5106, 267, 2866, 267, 3406, 543, 15063, 4170, 1644, 547, 519, 1761, 10898, 540, 5665, 538, 8701, 4525, 267, 1519, 4672, 267, 1121, 582, 8864, 543, 4049, 543, 6385, 4657, 4365, 2175, 269, 898, 568, 2854, 2687, 547, 519, 6859, 543, 2488, 1312, 6198, 4170, 543, 2143, 4170, 563, 763, 2825, 851, 540, 519, 21069, 8943, 10039, 547, 782, 8043, 14468, 538, 13076, 609, 1323, 10811, 525, 594, 267, 4083, 267, 10001, 543, 966, 540, 27107, 303, 5357, 6606, 269, 1401, 12371, 543, 1007, 8043, 14468, 896, 27107, 303, 5357, 1590, 16783, 609, 2825, 4170, 676, 5130, 476, 272, 267, 476, 1001, 278, 269, 901, 1797, 602, 10068, 8043, 630, 6518, 4163, 27107, 303, 5357, 22783, 264, 786, 849, 723, 547, 16783, 609, 519, 2825, 851, 540, 519, 3009, 267, 4352, 789, 798, 711, 723, 25663, 3008, 22783, 563, 290, 548, 15201, 22778, 807, 1443, 2478, 593, 5533, 6604, 454, 290, 548, 15201, 22778, 807, 814, 5423, 5583, 593, 519, 5533, 6604, 4170, 540, 519, 21069, 8943, 269, 7102, 11166, 540, 3282, 610, 522, 1176, 1216, 568, 19275, 543, 1808, 4170, 585, 519, 18635, 5532, 547, 519, 11166, 540, 16894, 2282, 519, 4672, 723, 1044, 3989, 269, 22630, 1216, 568, 711, 4988, 676, 27107, 303, 5357, 610, 519, 21069, 8943, 563, 28384, 3391, 1907, 454, 299, 331, 20477, 779, 19193, 3091, 10220, 6351, 543, 606, 7317, 3391, 1907, 585, 519, 8701, 3009, 269, 634, 8760, 2486, 4967, 602, 3487, 4083, 288, 540, 519, 3009, 3568, 4170, 602, 666, 3622, 581, 1558, 609, 4238, 593, 4604, 9635, 269, 7358, 2209, 540, 8043, 543, 21369, 7221, 538, 8701, 7297, 1058, 2327, 602, 4540, 5773, 543, 8261, 338, 616, 8242, 547, 2992, 519, 4170, 540, 519, 21069, 8943, 676, 5130, 476, 272, 267, 476, 1001, 278, 563, 2691, 12427, 3442, 547, 3888, 1007, 3937, 630, 324, 3052, 269, 1007, 17885, 11741, 832, 547, 6023, 519, 2799, 12802, 540, 17885, 593, 4604, 264, 610, 1374, 622, 1007, 13688, 547, 3180, 3282, 543, 522, 1176, 23399, 267, 13995, 949, 2154, 13995, 269, 8242, 547, 2992, 2242, 269, 19227, 267, 972, 616, 1100, 1007, 22783, 2404, 609, 10220, 609, 3487, 4083, 288, 540, 519, 3009, 585, 4540, 9635, 269, 1401, 12371, 8261, 338, 543, 5773, 666, 581, 8242, 547, 2743, 519, 10512, 4170, 540, 3487, 4083, 288, 269, 0, 763, 2845, 3455, 3650, 14854, 568, 513, 4262, 14854, 1336, 538, 519, 4095, 267, 9533, 543, 7414, 12084, 543, 538, 519, 11335, 7256, 267, 2705, 267, 519, 15693, 6532, 814, 513, 2249, 540, 2845, 3455, 3650, 14854, 602, 568, 15195, 563, 19868, 3455, 3650, 16015, 593, 519, 15693, 6532, 723, 9862, 547, 2661, 543, 16196, 538, 4195, 1216, 267, 713, 17091, 540, 4195, 1216, 729, 1360, 2487, 267, 1034, 2693, 538, 519, 1184, 602, 519, 6532, 3459, 547, 16173, 269, 901, 2249, 20555, 593, 12748, 21263, 543, 13479, 267, 922, 7387, 568, 2182, 2614, 602, 9039, 540, 519, 7068, 540, 519, 6532, 781, 25825, 666, 2736, 621, 267, 855, 519, 2881, 339, 584, 322, 12118, 1185, 513, 8945, 547, 6146, 519, 16015, 267, 609, 922, 1279, 8405, 543, 5609, 6681, 11156, 898, 666, 16173, 922, 1279, 267, 8685, 983, 2212, 883, 23761, 538, 519, 2212, 610, 17119, 885, 540, 519, 7387, 267, 12777, 1821, 28666, 519, 14854, 689, 519, 3330, 856, 267, 6028, 3297, 606, 8900, 7387, 7387, 269, 769, 1249, 267, 7064, 547, 519, 14854, 267, 519, 2551, 540, 2881, 339, 584, 322, 12118, 4667, 547, 723, 2799, 538, 519, 2063, 5553, 2094, 1354, 519, 12625, 540, 519, 2845, 3455, 3650, 16015, 593, 519, 6532, 267, 891, 11975, 10480, 593, 1507, 16015, 543, 930, 3165, 602, 789, 9575, 12212, 267, 855, 609, 741, 12625, 519, 15510, 2799, 1317, 789, 616, 1804, 10352, 543, 16196, 1360, 3533, 269, 898, 4769, 1405, 1491, 1279, 585, 519, 14854, 547, 1831, 519, 1292, 2732, 540, 713, 524, 7342, 23246, 563, 268, 634, 2845, 3455, 3650, 14854, 568, 513, 3020, 4262, 14854, 269, 0, 268, 561, 326, 343, 3607, 280, 5400, 278, 279, 14748, 32512, 18777, 353, 13644, 479, 11406, 268, 476, 1708, 272, 268, 1556, 268, 1789, 476, 9463, 495, 27747, 481, 2008, 268, 476, 274, 269, 8618, 15406, 2008, 16215, 476, 272, 4024, 5904, 581, 1031, 811, 982, 2835, 538, 519, 2104, 286, 634, 2029, 568, 4742, 811, 543, 811, 3532, 8206, 1703, 786, 581, 811, 18563, 538, 519, 2104, 563, 1432, 824, 1390, 18563, 798, 596, 917, 888, 1692, 1279, 814, 621, 1044, 1031, 888, 2005, 814, 1044, 1031, 585, 811, 982, 476, 2568, 1296, 563, 8005, 11827, 621, 888, 2005, 729, 11827, 676, 4892, 563, 2691, 729, 621, 11827, 286, 898, 729, 11827, 538, 476, 3707, 277, 269, 1684, 596, 5631, 946, 621, 547, 1353, 888, 1432, 666, 596, 798, 593, 5769, 15017, 14142, 585, 1344, 454, 23298, 609, 2828, 454, 4289, 523, 547, 519, 2575, 454, 5649, 519, 1913, 543, 7215, 10978, 569, 563, 4011, 992, 2322, 909, 3896, 13875, 1837, 454, 341, 269, 13127, 478, 509, 32512, 5405, 505, 22390, 509, 23521, 354, 13127, 376, 510, 420, 368, 368, 5405, 505, 10429, 361, 27747, 481, 454, 628, 748, 1343, 540, 2985, 5907, 2029, 0, 268, 476, 272, 1215, 666, 14590, 581, 4824, 888, 268, 476, 273, 6904, 2229, 8116, 568, 3743, 585, 6880, 3354, 888, 268, 476, 274, 4208, 568, 14590, 1271, 547, 519, 2229, 888, 268, 476, 275, 1548, 616, 519, 1806, 540, 6937, 547, 1344, 3354, 538, 979, 26404, 543, 4357, 3906, 888, 268, 476, 276, 1548, 1983, 616, 2877, 585, 14590, 888, 268, 476, 277, 1215, 666, 649, 2087, 14590, 538, 513, 2197, 888, 268, 476, 278, 5808, 27180, 6880, 6760, 888, 268, 476, 279, 1548, 568, 519, 3328, 14057, 585, 6880, 3354, 888, 268, 476, 280, 1772, 15536, 8232, 538, 3747, 888, 268, 476, 1015, 1548, 616, 519, 3268, 3144, 676, 519, 2229, 547, 3247, 6880, 6760, 888, 268, 476, 1556, 2052, 649, 3589, 513, 6880, 6760, 2864, 982, 3274, 14775, 547, 621, 888, 268, 476, 1321, 1548, 568, 2808, 513, 6880, 4323, 888, 268, 476, 1724, 1548, 568, 519, 1034, 5906, 11360, 518, 1907, 888, 268, 476, 1691, 1548, 616, 519, 2010, 540, 6937, 888, 268, 476, 1428, 1548, 616, 2010, 540, 6937, 538, 519, 9036, 888, 1692, 666, 14590, 581, 4824, 888, 2080, 616, 2947, 10372, 563, 268, 2037, 4403, 10957, 3652, 269, 16200, 18538, 616, 835, 540, 519, 1101, 3515, 540, 8878, 1996, 23563, 543, 4657, 873, 12212, 949, 948, 1832, 21190, 856, 563, 268, 22352, 5781, 563, 268, 25956, 19504, 338, 585, 782, 4296, 563, 268, 4825, 790, 782, 30694, 2533, 563, 268, 22676, 720, 4540, 3354, 3681, 563, 7617, 2229, 8116, 568, 3743, 585, 6880, 3354, 888, 763, 2817, 15536, 8232, 10406, 630, 301, 5425, 291, 264, 568, 513, 6498, 540, 519, 8433, 540, 15536, 8232, 1299, 18058, 267, 1369, 519, 2136, 2276, 4972, 540, 13067, 14657, 8232, 2048, 338, 15536, 9798, 543, 24486, 8232, 10837, 563, 3963, 568, 14590, 1271, 547, 519, 2229, 888, 24426, 828, 9798, 568, 513, 2556, 5092, 585, 2229, 8041, 269, 5303, 814, 3177, 1007, 2081, 585, 2229, 8041, 547, 960, 267, 2170, 609, 4961, 543, 2087, 2949, 4238, 563, 1432, 616, 519, 1806, 540, 6937, 547, 1344, 3354, 538, 979, 26404, 543, 4357, 3906, 888, 5415, 7044, 593, 13334, 454, 268, 20000, 8386, 4647, 6285, 563, 268, 1912, 5109, 6285, 563, 268, 20518, 3176, 24677, 6361, 28129, 630, 291, 2710, 306, 264, 6285, 563, 268, 4112, 334, 527, 20164, 563, 268, 11628, 10770, 3463, 6285, 563, 1432, 1983, 616, 2877, 585, 14590, 888, 763, 5440, 10341, 22490, 585, 15536, 9798, 22868, 454, 268, 9046, 4149, 6295, 10341, 563, 268, 14502, 589, 696, 3363, 563, 268, 11310, 540, 8232, 21661, 15316, 15107, 13257, 563, 268, 23206, 547, 5489, 841, 563, 268, 9442, 10341, 563, 268, 27284, 8950, 5983, 985, 923, 10341, 563, 268, 589, 2677, 790, 547, 6258, 563, 268, 1323, 4197, 540, 670, 22326, 563, 1692, 666, 649, 2087, 14590, 538, 513, 2197, 888, 2080, 616, 2185, 3268, 519, 2475, 666, 1491, 547, 24772, 922, 20320, 3646, 547, 2232, 14590, 6937, 563, 268, 3399, 1141, 2477, 3858, 269, 4139, 3652, 12044, 14590, 616, 15458, 267, 3226, 950, 621, 2501, 547, 6880, 268, 525, 335, 32025, 563, 268, 2037, 4289, 519, 1489, 540, 16167, 563, 268, 2142, 811, 14942, 563, 268, 4004, 6510, 5693, 563, 8005, 27180, 6880, 6760, 888, 763, 31440, 568, 519, 1291, 5313, 8116, 585, 14236, 6880, 6285, 543, 703, 6350, 687, 269, 1284, 2445, 543, 2671, 4987, 543, 4497, 609, 9601, 1247, 2324, 547, 29267, 2532, 1346, 22867, 17351, 6880, 2238, 267, 16382, 789, 616, 563, 1432, 568, 519, 3328, 14057, 585, 6880, 3354, 888, 6097, 547, 21912, 1103, 779, 1239, 267, 23269, 585, 6880, 3354, 4648, 2039, 689, 1269, 4792, 267, 1822, 547, 1269, 9873, 267, 1822, 829, 1032, 267, 609, 513, 11667, 14057, 540, 1269, 10844, 267, 1822, 12422, 563, 3674, 15536, 8232, 538, 3747, 888, 6097, 547, 634, 2475, 13163, 540, 8534, 10803, 685, 6176, 8232, 8890, 560, 779, 31326, 267, 14590, 6009, 616, 1851, 519, 16595, 21212, 4876, 2127, 25422, 269, 634, 645, 11862, 25221, 14590, 6009, 786, 1332, 476, 4029, 260, 998, 476, 1708, 280, 267, 936, 5722, 2053, 5488, 982, 519, 3084, 3328, 2816, 2208, 540, 476, 275, 18336, 1432, 616, 519, 3268, 3144, 676, 519, 2229, 547, 3247, 6880, 6760, 888, 3721, 338, 3144, 676, 519, 6554, 547, 3262, 4656, 827, 6880, 10963, 281, 6732, 6880, 13062, 830, 8989, 22045, 814, 1044, 9250, 547, 5512, 29153, 1218, 547, 1867, 20286, 17640, 547, 4132, 623, 1941, 2762, 270, 21609, 20351, 18816, 7698, 267, 22149, 17320, 836, 22149, 4337, 7685, 610, 16770, 8763, 1543, 563, 4692, 649, 3589, 513, 6880, 6760, 2864, 982, 3274, 14775, 547, 621, 888, 4692, 649, 3589, 6880, 1107, 6760, 2864, 982, 3274, 4431, 547, 621, 286, 1703, 568, 1100, 1259, 547, 3589, 1169, 2009, 3463, 269, 1717, 267, 519, 4213, 666, 581, 5423, 585, 713, 4990, 540, 7872, 269, 15536, 15928, 543, 2866, 540, 5234, 786, 1683, 519, 4027, 596, 991, 563, 1432, 568, 2808, 513, 6880, 4323, 888, 288, 6880, 4323, 568, 606, 14213, 9250, 676, 6880, 322, 3234, 10904, 1210, 835, 610, 811, 5904, 1996, 513, 2582, 610, 2789, 5904, 610, 5121, 269, 589, 6880, 4323, 666, 17351, 569, 771, 762, 5904, 267, 21102, 1239, 267, 610, 946, 513, 1786, 3737, 2780, 607, 513, 10131, 1448, 585, 824, 6285, 563, 1432, 568, 519, 1034, 5906, 11360, 518, 1907, 888, 1103, 713, 2376, 267, 649, 3580, 581, 7234, 519, 1283, 476, 1015, 5683, 28892, 2645, 11489, 476, 1708, 272, 912, 268, 3627, 519, 681, 23124, 563, 1432, 616, 519, 2010, 540, 6937, 888, 1320, 805, 338, 666, 581, 9286, 883, 2185, 1114, 6688, 282, 1463, 267, 9940, 267, 1654, 6150, 267, 19585, 269, 589, 1463, 3463, 14439, 513, 1808, 3077, 543, 568, 9447, 538, 513, 3551, 267, 2312, 267, 543, 8763, 6073, 563, 1432, 616, 2010, 540, 6937, 538, 519, 9036, 888, 15650, 540, 21784, 338, 538, 519, 31071, 454, 268, 31071, 20222, 269, 31071, 5208, 568, 3989, 607, 1022, 957, 610, 3463, 540, 2168, 5208, 267, 18275, 267, 12932, 9179, 267, 26688, 610, 17116, 7180, 602, 4523, 538, 519, 9036, 563, 268, 31071, 31421, 563, 268, 631, 9229, 21784, 338, 563, 268, 1306, 17937, 1299, 11906, 21784, 338, 269, 0, 7437, 2229, 20483, 1382, 267, 649, 917, 602, 3109, 543, 6803, 12102, 1004, 616, 693, 513, 19319, 538, 519, 9036, 269, 634, 7694, 2557, 585, 6803, 12102, 4600, 568, 1152, 1175, 1657, 476, 2568, 260, 3379, 547, 3043, 4600, 799, 568, 693, 2484, 6793, 476, 4037, 18336, 11577, 19303, 543, 17499, 21678, 10168, 11874, 5222, 593, 5234, 27907, 267, 7607, 543, 9441, 1072, 269, 1703, 616, 2705, 2081, 602, 649, 666, 948, 547, 16826, 856, 7292, 7130, 538, 519, 9036, 7498, 288, 2442, 1982, 3903, 568, 547, 2333, 519, 2039, 540, 2816, 12545, 602, 19684, 7477, 17473, 616, 11540, 547, 585, 513, 811, 3309, 543, 11727, 32358, 7535, 563, 1607, 568, 1141, 10341, 275 ]

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

[ 1512, 263, 1320, 1348, 17107, 825, 1219, 6449, 8181, 9191, 1345, 267, 3758, 2187, 1038, 27387, 14857, 8181, 9191, 1345, 994, 1038, 1582, 8807, 6150, 3430, 25366, 284, 12803, 454, 825, 1219, 2196, 4311, 2187, 1038, 1247, 6936, 912, 2018, 513, 284, 8681, 842, 263, 272, 267, 1015, 994, 2018, 1582, 8807, 6150, 3430, 25366, 6910, 5416, 994, 2018, 3207, 263, 8681, 842, 263, 272, 267, 274, 4917, 2018, 1820, 3488, 288, 329, 719, 324, 15079, 513, 3288, 3758, 8339, 8971, 5416, 11723, 5035, 3117, 2541, 22209, 1512, 263, 1320, 1348, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 3758, 2187, 1038, 27387, 14857, 8181, 9191, 1345, 994, 1038, 1582, 8807, 6150, 3430, 25366, 815, 3758, 454, 825, 1219, 2196, 4311, 2187, 1038, 952, 7003, 4311, 8807, 6150, 3430, 25366, 264, 2525, 271, 912, 16875, 1820, 2891, 4289, 324, 2756, 5602, 1038, 3116, 912, 16875, 3207, 263, 8681, 842, 263, 272, 267, 476, 274, 4917, 16875, 1820, 3488, 8256, 558, 1889, 15079, 8339, 8971, 4311, 8807, 6150, 3430, 25366, 21014, 3890, 11723, 325, 6150, 3430, 25366, 17342, 272, 267, 274, 2639, 6112, 630, 6352, 6600, 6150, 3430, 25366, 4297, 285, 271, 912, 533, 284, 303, 28558, 22209, 1512, 6600, 6150, 3430, 25366, 994, 524, 284, 8256, 2541, 22209, 1512, 6600, 6150, 3430, 25366, 994, 533, 269, 11034, 4590, 524, 269, 11034, 4590, 0, 5814, 23094, 454, 5814, 15259, 1948, 20008, 745, 3897, 839, 328, 2317, 320, 535, 529, 1512, 592, 14241, 692, 258, 524, 872, 18054, 796, 7746, 23094, 454, 338, 21665, 12714, 815, 23094, 4732, 12714, 4433, 12714, 6993, 293, 318, 2562, 4953, 267, 23094, 2529, 8016, 298, 318, 4306, 3918, 4456, 994, 258, 1808, 320, 1309, 7746, 592, 642, 320, 678, 3121, 890, 2823, 592, 476, 6321, 278, 279, 267, 934, 525, 756, 559, 632, 890, 610, 823, 28258, 620, 7746, 592, 14241, 454, 338, 21665, 12714, 12500, 785, 263, 3488, 3299, 476, 6321, 278, 279, 4917, 258, 7746, 592, 1093, 622, 3398, 320, 598, 1410, 328, 27376, 282, 1808, 320, 3032, 328, 7817, 328, 1494, 4230, 324, 24473, 3288, 1071, 3385, 454, 338, 21665, 12714, 269, 4289, 523, 263, 276, 2020, 6112, 6936, 912, 13537, 1412, 19399, 19399, 2971, 7462, 7055, 13537, 1412, 306, 13996, 592, 10841, 738, 320, 1761, 328, 7817, 328, 25692, 453, 258, 4230, 324, 2194, 320, 598, 624, 19327, 796, 14241, 7817, 3288, 7746, 454, 453, 258, 1558, 18649, 2387, 23100, 319, 1609, 324, 1025, 665, 9017, 18092, 7218, 12714, 267, 1416, 1065, 30959, 842, 320, 23094, 268, 592, 1071, 4046, 684, 345, 1807, 7817, 592, 14241, 598, 624, 520, 454, 453, 263, 743, 1801, 12714, 267, 2232, 264, 815, 13763, 12714, 269, 23100, 4590, 13537, 1412, 306, 8584, 598, 624, 520, 796, 7817, 25692, 453, 258, 694, 605, 806, 324, 18054, 6147, 16699, 23313, 694, 3632, 652, 324, 2215, 320, 13274, 773, 632, 1257, 454, 453, 576, 516, 516, 815, 1412, 7055, 453, 4802, 773, 5719, 9359, 815, 1412, 7055, 453, 6112, 6936, 912, 453, 453, 321, 18860, 815, 7218, 12714, 269, 13440, 341, 263, 9083, 275, 994, 453, 14851, 7003, 6357, 18860, 264, 2999, 476, 272, 912, 4848, 453, 19874, 454, 453, 453, 576, 516, 516, 815, 6147, 516, 1341, 1207, 325, 19709, 13892, 4590, 453, 13537, 1412, 306, 8584, 3632, 527, 8544, 1690, 592, 281, 1422, 333, 10900, 734, 10559, 333, 262, 1341, 6147, 516, 1341, 1412, 315, 333, 10900, 19203, 7055, 453, 453, 335, 9926, 527, 773, 815, 6147, 516, 26098, 28361, 337, 14826, 5073, 453, 14851, 630, 335, 9926, 527, 773, 3436, 910, 272, 543, 13274, 773, 5719, 9359, 2652, 15234, 2187, 4848, 453, 4802, 773, 5719, 9359, 815, 6147, 516, 314, 271, 281, 335, 9926, 527, 773, 2639, 4848, 13537, 1412, 306, 8584, 3632, 527, 13274, 807, 632, 1376, 7188, 6147, 516, 281, 476, 7462, 1412, 1341, 13274, 773, 5719, 9359, 1341, 1412, 476, 7462, 7055, 4848, 453, 19874, 454, 13537, 1412, 306, 8584, 2165, 514, 520, 3632, 527, 16699, 25692, 14851, 13274, 773, 5719, 9359, 2652, 1412, 12466, 453, 453, 743, 1801, 12714, 25379, 4590, 453, 13537, 1412, 306, 8584, 2165, 514, 520, 635, 684, 545, 19327, 24140, 7817, 592, 910, 8356, 521, 8584, 2215, 527, 12137, 328, 684, 8544, 1690, 25692, 453, 453, 11666, 826, 454, 453, 258, 4612, 19327, 27205, 592, 14241, 632, 1286, 716, 699, 2387, 4802, 773, 5719, 9359, 319, 454, 453, 324, 2211, 324, 18118, 5719, 9359, 815, 13274, 773, 5719, 9359, 21858, 4590, 453, 258, 570, 7495, 302, 694, 2017, 714, 732, 454, 453, 333, 2541, 4910, 2720, 320, 290, 518, 25917, 815, 3693, 324, 18118, 5719, 9359, 314, 272, 2639, 14851, 1003, 324, 4910, 2720, 320, 290, 518, 25917, 2652, 23367, 12466, 453, 453, 333, 2541, 4910, 2720, 320, 290, 518, 25917, 815, 23367, 8161, 11258, 7055, 28768, 453, 258, 524, 1446, 320, 1609, 324, 8887, 10216, 3288, 8689, 592, 632, 3768, 324, 513, 3456, 4291, 583, 520, 7097, 592, 454, 453, 333, 2541, 293, 529, 1512, 815, 1412, 907, 270, 11666, 583, 262, 1341, 1003, 324, 4910, 2720, 320, 290, 518, 25917, 454, 28768, 453, 325, 529, 1512, 815, 7183, 454, 453, 339, 787, 912, 453, 453, 258, 964, 577, 728, 535, 529, 1512, 592, 20008, 745, 3632, 790, 538, 1110, 10822, 541, 454, 453, 453, 325, 529, 1512, 815, 1930, 3799, 2541, 293, 529, 1512, 10086, 337, 321, 17210, 453, 453, 258, 9133, 2923, 454, 453, 453, 333, 2541, 15761, 839, 773, 815, 1003, 324, 293, 529, 1512, 19559, 2541, 293, 529, 1512, 25331, 22772, 3488, 9538, 11924, 272, 281, 2639, 453, 453, 339, 760, 19441, 300, 4215, 815, 13634, 4848, 453, 262, 6255, 6447, 9166, 1412, 3667, 270, 6255, 6447, 22779, 4848, 453, 262, 322, 1087, 9166, 1412, 3667, 11305, 1087, 22779, 4848, 453, 262, 329, 338, 9166, 1412, 1952, 997, 566, 10768, 338, 22779, 4848, 453, 262, 335, 978, 9166, 1412, 13548, 9706, 978, 22779, 4848, 453, 262, 329, 17989, 9166, 1412, 13548, 10768, 701, 326, 22779, 4848, 453, 262, 329, 701, 326, 9166, 1412, 13548, 10768, 701, 326, 22779, 4848, 453, 262, 326, 604, 9166, 1412, 13548, 17320, 604, 22779, 4848, 453, 262, 4815, 9166, 1412, 13548, 24474, 268, 6625, 22779, 4848, 453, 262, 343, 6447, 9166, 1412, 1952, 997, 566, 24474, 6447, 22779, 4848, 453, 262, 329, 5459, 9166, 1412, 1952, 997, 566, 10768, 5459, 7055, 453, 453, 8679, 453, 453, 339, 760, 300, 4215, 815, 9133, 19441, 300, 4215, 10947, 3799, 2541, 15761, 839, 773, 10086, 3667, 270, 21622, 5073, 4848, 454, 453, 453, 258, 694, 16013, 924, 678, 5684, 12584, 592, 454, 453, 453, 743, 1801, 12714, 4732, 754, 718, 3488, 12487, 9143, 270, 272, 269, 272, 476, 1220, 15528, 315, 337, 14826, 5073, 453, 453, 743, 1801, 12714, 4732, 754, 718, 3488, 32098, 6441, 2654, 281, 1412, 1341, 1193, 263, 657, 14714, 520, 3799, 2541, 293, 529, 1512, 1040, 560, 15481, 264, 1341, 1412, 315, 337, 14826, 5073, 453, 453, 743, 1801, 12714, 4732, 754, 718, 3488, 32098, 6874, 4286, 281, 1412, 1341, 9133, 300, 4215, 1341, 262, 315, 337, 14826, 5073, 453, 453, 743, 1801, 12714, 4732, 754, 718, 3488, 306, 13996, 281, 3733, 623, 310, 18218, 315, 337, 14826, 5073, 453, 453, 743, 1801, 12714, 4732, 754, 718, 28361, 337, 14826, 5073, 4848, 454, 453, 453, 258, 3632, 652, 324, 7188, 535, 529, 1512, 23313, 16013, 924, 3288, 7746, 454, 453, 453, 321, 18860, 815, 535, 529, 1512, 18667, 263, 9083, 275, 994, 453, 453, 6112, 630, 321, 18860, 2187, 4848, 453, 743, 1801, 12714, 4732, 754, 6357, 18860, 994, 4848, 453, 321, 18860, 815, 535, 529, 1512, 18667, 263, 9083, 275, 994, 453, 21955, 594, 302, 13286, 912, 453, 453, 258, 546, 20403, 535, 529, 1512, 592, 8356, 2291, 320, 1726, 25975, 773, 16013, 529, 796, 8544, 1690, 632, 476, 29024, 3502, 5853, 454, 453, 453, 916, 326, 815, 1412, 292, 549, 732, 256, 1763, 2720, 320, 524, 518, 25917, 1412, 1341, 1003, 324, 4910, 2720, 320, 290, 518, 25917, 1341, 1412, 8356, 513, 2322, 583, 535, 328, 3154, 7534, 256, 7055, 453, 13537, 20444, 326, 454, 453, 453, 743, 1801, 12714, 4732, 754, 718, 3488, 12487, 9143, 270, 272, 269, 272, 476, 29024, 3502, 5853, 315, 337, 14826, 5073, 453, 453, 743, 1801, 12714, 4732, 754, 718, 3488, 32098, 6441, 2654, 281, 1412, 1341, 1193, 12759, 263, 916, 326, 269, 523, 13892, 3488, 583, 325, 268, 279, 262, 30727, 1341, 1412, 315, 337, 14826, 5073, 453, 453, 743, 1801, 12714, 4732, 754, 718, 3488, 32098, 6874, 4286, 281, 1257, 270, 21622, 315, 337, 14826, 5073, 453, 453, 743, 1801, 12714, 4732, 754, 718, 3488, 306, 13996, 281, 3733, 623, 310, 18218, 315, 337, 14826, 5073, 453, 453, 743, 1801, 12714, 4732, 754, 718, 28361, 337, 14826, 10807, 28768, 453, 453, 743, 1801, 12714, 4732, 754, 718, 263, 916, 326, 2020, 453, 325, 3373, 912, 453, 14851, 535, 529, 1512, 568, 711, 7183, 912, 4848, 453, 325, 529, 1512, 25379, 4590, 453, 743, 1801, 12714, 25379, 4590, 13537, 1412, 306, 8584, 2165, 514, 520, 635, 684, 545, 19327, 24140, 7817, 592, 25692, 0, 5814, 21795, 607, 19073, 692, 3698, 1205, 5091, 21648, 564, 263, 14766, 264, 10778, 825, 23288, 825, 16849, 513, 21795, 10471, 689, 513, 2016, 29250, 547, 513, 26417, 3097, 1038, 30352, 912, 2018, 29250, 630, 1598, 2567, 589, 29250, 610, 2619, 547, 513, 26417, 3758, 563, 1038, 16849, 454, 2018, 10471, 630, 335, 663, 553, 6185, 1092, 20988, 2567, 4578, 18134, 689, 26417, 3758, 454, 825, 23288, 8931, 825, 2119, 912, 1038, 1948, 21093, 11483, 309, 3758, 543, 6460, 547, 10471, 454, 1038, 10471, 815, 19073, 18667, 32269, 263, 14766, 267, 869, 8548, 25514, 25716, 994, 825, 4849, 912, 1038, 1948, 19530, 532, 5470, 950, 9868, 454, 1038, 1820, 2891, 18823, 8091, 29250, 610, 711, 2139, 4199, 5602, 8931, 825, 2132, 10471, 7531, 3698, 6749, 22674, 8435, 5560, 21648, 564, 267, 3712, 8435, 15461, 5091, 1886, 17342, 316, 2187, 825, 23288, 825, 29100, 9587, 538, 1747, 689, 513, 17455, 553, 4578, 18134, 454, 1038, 30352, 912, 2018, 10471, 630, 335, 663, 553, 6185, 1092, 20988, 2567, 13096, 553, 564, 547, 6749, 9587, 454, 2018, 9587, 15461, 5091, 1886, 630, 1598, 26514, 2567, 26275, 540, 9587, 547, 6749, 267, 9949, 8900, 454, 1038, 16849, 454, 2018, 10471, 630, 335, 663, 553, 6185, 1092, 18134, 2567, 13096, 553, 564, 609, 12628, 9587, 454, 825, 15981, 692, 825, 2119, 912, 1038, 1948, 291, 549, 6137, 9587, 454, 1038, 10471, 6155, 1886, 263, 3712, 8435, 15461, 5091, 1886, 267, 7852, 6889, 3712, 8435, 2580, 514, 2897, 18989, 994, 825, 4849, 912, 1038, 1948, 19530, 532, 5470, 950, 9868, 454, 1038, 1820, 2891, 13286, 3843, 547, 6749, 9587, 269, 7638, 1518, 602, 9587, 4408, 616, 2953, 610, 6818, 5602, 8931, 825, 2132, 10471, 692, 3698, 6460, 15461, 5091, 520, 8135, 630, 323, 21648, 564, 267, 4266, 22674, 4379, 2187, 825, 23288, 825, 22417, 547, 4266, 513, 6241, 540, 513, 1239, 18134, 454, 1038, 30352, 912, 2018, 10471, 630, 335, 663, 553, 6185, 1092, 18134, 2567, 13096, 553, 564, 547, 1305, 4994, 454, 2018, 4266, 22674, 4379, 630, 1598, 2567, 28758, 547, 6460, 547, 11261, 454, 1038, 16849, 454, 2018, 10471, 630, 335, 663, 553, 6185, 1092, 18134, 2567, 13096, 553, 564, 609, 4266, 6241, 454, 825, 23288, 825, 2119, 912, 1038, 1948, 935, 31844, 6241, 547, 4266, 630, 514, 2897, 994, 1038, 10471, 314, 11845, 22674, 4379, 316, 815, 19073, 30419, 5091, 520, 8135, 5560, 21648, 564, 314, 11845, 22674, 4379, 7481, 825, 4849, 912, 1038, 1948, 19530, 532, 5470, 950, 9868, 454, 1038, 1820, 2891, 26705, 6241, 711, 5431, 610, 3765, 335, 9934, 6241, 269, 3550, 568, 513, 6444, 4266, 3898, 5602, 825, 2132, 10471, 7531, 3698, 1711, 16229, 5560, 21648, 564, 267, 4994, 22674, 4379, 267, 568, 5091, 622, 815, 6936, 2187, 825, 23288, 825, 5590, 4994, 538, 513, 13096, 553, 564, 689, 513, 2016, 6241, 609, 4266, 4781, 454, 1038, 30352, 281, 3097, 2018, 10471, 630, 335, 663, 553, 6185, 1092, 18134, 2567, 13096, 553, 564, 547, 1305, 4994, 454, 2018, 4994, 22674, 4379, 630, 1598, 2567, 28758, 547, 581, 4994, 454, 2018, 568, 5091, 622, 630, 289, 944, 2567, 25035, 547, 5815, 952, 519, 2016, 6241, 568, 538, 4266, 3898, 3097, 1038, 16849, 454, 2018, 10471, 630, 335, 663, 553, 6185, 1092, 18134, 2567, 13096, 553, 564, 609, 4994, 9587, 454, 825, 23288, 825, 2119, 912, 1038, 1948, 3519, 31844, 11261, 21803, 547 ]

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

[ 1129, 2476, 269, 634, 21944, 8851, 957, 17101, 519, 7022, 540, 519, 8087, 2829, 547, 19268, 1479, 21944, 11031, 945, 5030, 7532, 540, 519, 4413, 13945, 5757, 547, 3338, 7178, 540, 519, 4413, 13945, 4352, 519, 19268, 25557, 729, 26723, 839, 4601, 17319, 267, 519, 957, 8507, 538, 2112, 609, 519, 5033, 514, 1961, 14316, 543, 547, 519, 1750, 28373, 13009, 540, 17229, 563, 763, 21944, 8851, 957, 729, 513, 1876, 5293, 676, 7022, 543, 4319, 795, 11055, 538, 476, 8146, 271, 621, 1572, 585, 5065, 22988, 593, 519, 9456, 5032, 540, 519, 8087, 2829, 547, 581, 882, 11343, 883, 875, 1223, 519, 2229, 1521, 606, 3003, 1895, 540, 1004, 865, 10792, 569, 1759, 9003, 593, 741, 2081, 540, 1272, 543, 1114, 4282, 269, 31203, 1131, 4688, 21944, 1004, 689, 519, 1244, 1042, 725, 540, 16543, 267, 543, 1131, 19268, 1479, 873, 538, 606, 1858, 1141, 789, 1223, 1827, 2933, 538, 4708, 930, 8359, 547, 3251, 538, 4413, 13945, 896, 519, 2474, 540, 519, 8851, 957, 855, 1498, 519, 2112, 8257, 1500, 930, 8942, 547, 2149, 1346, 269, 4095, 8851, 957, 630, 8146, 271, 264, 2101, 6411, 540, 18322, 10677, 476, 1220, 275, 519, 575, 1446, 1895, 1651, 519, 21944, 8851, 957, 11542, 693, 519, 10167, 540, 3875, 9840, 1851, 24067, 22988, 936, 519, 12556, 540, 7819, 967, 2103, 875, 729, 519, 14486, 540, 5065, 22988, 2469, 547, 581, 15286, 269, 634, 476, 8146, 271, 21944, 8851, 957, 543, 7766, 12761, 540, 519, 524, 9127, 267, 1781, 551, 1177, 267, 7105, 553, 1177, 267, 5033, 514, 1961, 267, 543, 1750, 28373, 11031, 540, 519, 22703, 24009, 519, 5075, 540, 513, 3043, 4182, 543, 2968, 835, 540, 519, 7114, 4162, 540, 519, 2085, 540, 795, 11055, 563, 763, 21944, 8851, 957, 729, 513, 1876, 5293, 676, 519, 8087, 2829, 18322, 538, 476, 8146, 271, 267, 543, 9896, 883, 1876, 676, 7022, 543, 4319, 795, 11055, 896, 519, 2474, 540, 519, 957, 267, 5065, 22988, 538, 519, 25878, 8087, 2829, 941, 9415, 547, 4123, 741, 3338, 585, 2244, 538, 519, 7178, 267, 7551, 1863, 532, 909, 2244, 538, 519, 269, 898, 729, 3834, 665, 15560, 855, 267, 1775, 1175, 1810, 1405, 917, 875, 547, 1376, 547, 2497, 1250, 9433, 621, 568, 9277, 547, 581, 10388, 630, 1729, 7022, 795, 11055, 1775, 1397, 811, 30971, 585, 1686, 267, 1775, 723, 547, 2328, 713, 1557, 540, 1250, 5784, 593, 519, 21944, 8851, 957, 540, 476, 8146, 271, 1775, 6415, 12758, 1775, 917, 621, 729, 3983, 269, 4095, 8851, 957, 1299, 562, 684, 1695, 328, 1673, 10044, 1673, 5979, 3620, 559, 340, 25829, 538, 519, 476, 5197, 271, 781, 267, 519, 8087, 2829, 729, 513, 4182, 1869, 1565, 875, 547, 7561, 2196, 513, 2229, 267, 543, 3715, 17258, 607, 513, 3196, 547, 581, 22672, 19861, 609, 7269, 729, 519, 1101, 10862, 538, 799, 789, 941, 5462, 547, 3035, 269, 0, 2414, 6146, 513, 27629, 568, 24903, 519, 3460, 602, 1085, 719, 1710, 577, 666, 1294, 602, 646, 568, 3206, 1018, 621, 1590, 581, 899, 689, 1200, 1448, 540, 2070, 267, 543, 1287, 269, 1548, 781, 811, 267, 649, 723, 547, 2328, 547, 6146, 513, 27629, 1557, 855, 1018, 568, 538, 2013, 609, 713, 3209, 267, 513, 2241, 5758, 540, 547, 6146, 513, 27629, 786, 798, 540, 1576, 269, 1677, 6146, 513, 27629, 568, 513, 476, 3422, 273, 7819, 12416, 4670, 9859, 676, 29122, 544, 1638, 10247, 2038, 538, 519, 4670, 267, 519, 1453, 1294, 741, 4651, 3398, 554, 1157, 800, 10808, 267, 543, 824, 3132, 267, 689, 1775, 1590, 2161, 519, 812, 543, 519, 1915, 646, 5129, 941, 711, 796, 531, 833, 269, 769, 547, 6146, 513, 27629, 267, 1453, 2661, 538, 606, 6427, 633, 1158, 1141, 13655, 5185, 609, 1483, 12178, 267, 795, 655, 543, 1085, 719, 1590, 7148, 883, 1007, 2157, 540, 15657, 538, 269, 1677, 6146, 513, 27629, 676, 3771, 704, 682, 324, 729, 2854, 538, 519, 476, 4198, 271, 338, 543, 3370, 789, 849, 581, 23136, 546, 650, 267, 513, 1507, 7911, 945, 2501, 547, 3643, 543, 3251, 609, 1010, 31225, 563, 10403, 1557, 281, 998, 519, 1576, 540, 519, 3209, 547, 6146, 513, 27629, 267, 676, 3771, 704, 682, 324, 2073, 519, 28877, 543, 21440, 538, 519, 1158, 267, 543, 602, 835, 1590, 1020, 513, 10892, 585, 621, 1140, 16307, 568, 3972, 532, 795, 655, 547, 9108, 1205, 1085, 719, 547, 1153, 267, 543, 948, 1200, 19651, 269, 1323, 1557, 1058, 2141, 1118, 513, 2582, 1448, 547, 1205, 513, 1390, 1557, 267, 2322, 11735, 3843, 547, 2328, 513, 1390, 1557, 543, 1175, 1445, 593, 6031, 835, 3364, 602, 568, 711, 6654, 513, 269, 3371, 781, 513, 2689, 1775, 5206, 827, 835, 540, 1250, 5172, 2835, 267, 547, 6146, 513, 27629, 676, 1360, 1906, 1004, 723, 2479, 2938, 1630, 334, 267, 543, 1085, 719, 543, 1200, 2828, 723, 513, 2603, 540, 1187, 945, 2661, 543, 13236, 538, 547, 6146, 513, 27629, 267, 596, 3513, 723, 547, 1224, 519, 1433, 563, 1103, 519, 3209, 547, 6146, 513, 27629, 267, 2854, 676, 3771, 704, 682, 324, 267, 1140, 16307, 1710, 577, 781, 6961, 547, 1085, 719, 602, 1100, 835, 1058, 15936, 540, 1018, 596, 1616, 547, 798, 610, 723, 1044, 3257, 267, 1547, 6168, 519, 4729, 267, 3197, 543, 4798, 538, 3771, 704, 682, 324, 781, 547, 6146, 513, 27629, 6432, 547, 519, 9739, 538, 707, 2212, 543, 23590, 7005, 8301, 811, 8301, 4585, 269, 594, 798, 711, 899, 713, 2262, 543, 621, 24074, 803, 547, 1256, 1224, 621, 1055, 540, 513, 2985, 267, 855, 2278, 781, 8247, 568, 1271, 267, 543, 649, 723, 547, 2463, 602, 811, 936, 267, 649, 782, 723, 12819, 1557, 1298, 1359, 593, 519, 24890, 540, 547, 6146, 513, 27629, 22097, 269, 5131, 1557, 281, 10100, 538, 547, 6146, 513, 27629, 10100, 568, 3254, 1369, 519, 2295, 1652, 8292, 540, 1346, 1472, 873, 267, 547, 1294, 519, 13766, 540, 1010, 9525, 269, 7348, 4967, 910, 7005, 1557, 547, 6146, 513, 27629, 689, 7005, 1989, 476, 1556, 3743, 812, 945, 13290, 547, 1397, 1010, 3214, 519, 4245, 789, 991, 547, 1118, 563, 288, 5299, 540, 1412, 1729, 6146, 513, 27629, 262, 1373, 15504, 1055, 513, 15808, 3209, 12582, 1405, 581, 17049, 689, 3506, 267, 922, 946, 607, 513, 3450, 1907, 1058, 581, 15260, 612, 539, 538, 519, 1433, 267, 2938, 607, 1945, 540, 513, 1246, 5346, 547, 547, 6146, 513, 27629, 267, 519, 269, 5131, 547, 6146, 513, 27629, 4574, 267, 3594, 267, 543, 1382, 4574, 538, 835, 1433, 2943, 666, 4988, 609, 971, 1082, 2042, 267, 3771, 704, 682, 324, 1590, 723, 1044, 519, 3209, 25856, 1472, 10168, 543, 1085, 719, 12034, 7130, 16382, 1352, 4422, 1547, 1323, 1557, 1590, 2270, 606, 4367, 267, 513, 1560, 267, 543, 513, 3932, 1131, 723, 721, 798, 538, 938, 4948, 2729, 827, 14882, 267, 7130, 267, 543, 21440, 563, 763, 3974, 25690, 281, 3771, 704, 682, 324, 781, 547, 6146, 513, 27629, 814, 519, 5467, 2015, 1919, 689, 1776, 781, 1448, 540, 1557, 4170, 1919, 547, 1589, 827, 543, 798, 269, 2060, 519, 3377, 540, 519, 2669, 540, 3771, 704, 682, 324, 267, 1272, 2835, 814, 1175, 5950, 513, 1007, 7160, 540, 519, 11972, 9371, 540, 3771, 704, 682, 324, 543, 547, 6146, 513, 269, 634, 2140, 540, 3771, 704, 682, 324, 781, 476, 3422, 271, 5929, 547, 6146, 513, 27629, 568, 899, 602, 585, 803, 267, 602, 729, 519, 1152, 942, 1775, 2479, 4862, 1140, 16307, 2161, 621, 729, 513, 5609, 547, 798, 269, 1677, 6146, 513, 27629, 1557, 593, 10168, 910, 3079, 540, 7282, 827, 1382, 1957, 519, 2556, 6351, 1934, 4744, 31277, 267, 3594, 543, 1382, 4574, 540, 711, 1152, 1397, 875, 547, 6146, 513, 1433, 2854, 676, 1140, 16307, 1710, 577, 267, 10168, 538, 3771, 704, 682, 324, 563, 2108, 1729, 6146, 513, 27629, 892, 630, 1492, 2462, 1224, 264, 630, 25075, 1938, 606, 8301, 3391, 609, 27367, 3391, 609, 630, 280, 268, 1321, 264, 476, 1015, 3992, 4566, 267, 1557, 3584, 267, 543, 1698, 7723, 1788, 2093, 1085, 582, 1206, 4011, 334, 8695, 543, 547, 6146, 513, 27629, 281, 1079, 8062, 585, 519, 1455, 4295, 2789, 9607, 991, 547, 581, 9674, 676, 862, 553, 630, 1220, 3197, 3193, 269, 6423, 811, 4583, 10530, 689, 3332, 547, 10581, 707, 10935, 695, 15879, 641, 9397, 1524, 1883, 24185, 689, 547, 6146, 513, 27629, 1140, 16307, 267, 596, 1590, 581, 4636, 269, 634, 4845, 1590, 1397, 602, 596, 1174, 519, 2495, 540, 519, 2262, 519, 1353, 540, 547, 6146, 513, 27629, 267, 596, 786, 581, 1603, 606, 1557, 593, 835, 2460, 540, 519, 3209, 547, 6146, 513, 27629, 851, 476, 272, 7688, 851, 476, 272, 2110, 2626, 630, 272, 544, 330, 1142, 264, 596, 798, 269, 16497, 476, 280, 1700, 1556, 1445, 593, 519, 3206, 602, 1053, 991, 547, 798, 1354, 13167, 741, 1378, 547, 6146, 513, 27629, 2203, 1557, 630, 821, 829, 2875, 543, 835, 547, 4159, 269, 0, 24171, 14247, 742, 3205, 630, 1724, 32414, 476, 14690, 274, 910, 476, 275, 5104, 569, 476, 9264, 277, 264, 729, 2278, 540, 519, 17083, 540, 7115, 630, 10082, 277, 264, 543, 519, 20424, 807, 29417, 585, 3909, 5191, 630, 10082, 278, 1070, 13653, 540, 519, 6280, 540, 20424, 807, 630, 8687, 280, 1070, 519, 3791, 7022, 540, 519, 8087, 2829, 630, 5197, 272, 268, 5197, 280, 1070, 513, 2797, 14544, 267, 9375, 540, 14247, 742, 3205, 781, 23573, 269, 1452, 28114, 14247, 742, 3205, 10530, 2099, 1010, 1272, 607, 835, 540, 938, 1340, 539, 15713, 18971, 543, 606, 31369, 3090, 585, 1312, 2101, 2797, 6105, 538, 910, 628, 5557, 14247, 742, 3205, 1995, 554, 987, 1352, 1233, 267, 602, 1256, 896, 519, 1655, 3029, 540, 2229, 1346, 1303, 27434, 609, 1379, 723, 267, 538, 942, 267, 543, 676, 3500, 563, 2005, 1590, 581, 8799, 547, 723, 3165, 19315, 267, 952, 1152, 1775, 1185, 930, 3165, 1932, 1250, 1272, 568, 1360, 267, 1360, 8909, 1775, 993, 513, 8909, 543, 13249, 3032, 609, 1100, 3165, 9939, 1176, 267, 519, 8912, 1480, 267, 519, 1279, 3620, 8529, 835, 267, 729, 972, 1932, 267, 543, 621, 5526, 602, 649, 2811, 547, 3251, 1934, 585, 519, 942, 1373, 621, 781, 2864, 513, 8799, 1747, 267, 538, 922, 1259, 267, 865, 1775, 1810, 1405, 2247, 1932, 1454, 269, 8191, 28114, 552, 476, 6977, 277, 530, 20490, 269, 2991, 28114, 14247, 742, 3205, 781, 2669, 538, 476, 9264, 277, 267, 1010, 8250, 543, 25752, 267, 2261, 15925, 14247, 742, 3205, 28219, 20462, 267, 729, 25997, 547, 6133, 1395, 6776, 10314, 543, 1454, 540, 922, 10437, 547, 2628, 1010, 19210, 729, 513, 27676, 15677, 602, 16768, 3670, 4374, 1010, 26043, 14331, 13351, 14247, 742, 3205, 1896, 2053, 538, 1010, 1272, 267, 543, 2356, 563, 297, 517, 803, 778, 600, 781, 12092, 540, 28114, 14247, 742, 3205, 5654, 693, 875, 519, 15713, 4651, 7059, 1010, 16431, 609, 693, 519, 1482, 942, 1010, 17021, 540, 1004, 543, 2621, 9356, 543, 556, 5809, 10661, 2418, 543, 855, 1287, 267, 14247, 742, 3205, 781, 1272, 543, 4876, 723, 1044, 16271, 547, 29882, 22987, 2094, 693, 2547, 269, 7338, 14247, 742, 3205, 585, 3214, 568, 513, 1134, 27787, 267, 3102, 12092, 540, 519, 3791, 7022, 540, 519, 8087, 2829, 543, 2278, 540, 519, 17083, 540, 7115, 972, 616, 7899, 540, 11147, 543, 5961, 540, 28114, 14247, 742, 3205, 267, 1010, 1753, 267, 543, 519, 1004, 945, 6766, 1010, 1272, 543, 2053, 269, 7216, 1272, 543, 4876, 540, 28114, 14247, 742, 3205, 28114, 14247, 742, 3205, 267, 519, 3791, 7022, 540, 519, 8087, 2829, 267, 729, 3238, 538, 6214, 689, 1010, 2038, 2937, 1296, 713, 2376, 6227, 1010, 2038, 1272, 543, 4876, 267, 998, 1010, 1603, 519, 17083, 540, 7115, 267, 7589, 538, 519, 7819, 12316, 2112, 563, 288, 1206, 27599, 385, 367, 12921, 924, 267, 737, 611, 7523, 384, 501, 339, 636, 384, 501, 974, 1236, 320, 640, 16210, 683, 1440, 529, 6359, 2426, 384, 503, 267, 533, 776, 20795, 330, 842, 328, 267, 17328, 385, 378, 2096, 384, 501, 16210, 3693, 639, 818, 579, 385, 378, 338, 4275, 20795, 12682, 328, 2250, 629, 553, 1236, 320, 640, 323, 9564, 737, 5500, 326, 384, 483, 29770, 1492, 1272, 543, 2053, 540, 28114, 14247, 742, 3205, 269, 7338, 14247, 742, 3205, 6707, 10443, 585, 538, 1010, 519, 24164, 585, 519, 1101, 942, 538, 476, 5197, 271, 1498, 646, 1705, 711, 5859, 585, 1010, 5428, 268, 607, 729, 519, 2245, 602, 942 ]

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

[ 692, 272, 6145, 692, 8340, 318, 303, 339, 269, 724, 630, 1556, 269, 280, 22995, 2020, 2252, 602, 1018, 596, 1611, 676, 2147, 9811, 563, 4517, 891, 7285, 616, 2141, 3160, 1317, 519, 3515, 616, 6252, 267, 972, 568, 1100, 824, 4781, 780, 272, 6145, 692, 12552, 16921, 585, 782, 519, 30491, 2336, 296, 6557, 4974, 782, 540, 873, 267, 1775, 3580, 1205, 1394, 607, 777, 2439, 342, 578, 2336, 303, 675, 4154, 256, 8729, 2336, 296, 1705, 711, 1174, 519, 12596, 267, 596, 5249, 1152, 609, 2127, 543, 1100, 29890, 693, 782, 256, 4270, 2944, 2439, 296, 4076, 3773, 513, 6467, 593, 519, 13392, 4542, 543, 7229, 519, 9386, 1384, 3725, 10503, 519, 3510, 630, 328, 4076, 26948, 519, 6724, 630, 25585, 4769, 1406, 1775, 946, 971, 693, 1376, 286, 15892, 10472, 568, 513, 1793, 3187, 2451, 28878, 14318, 1141, 1082, 1543, 568, 2938, 267, 693, 1142, 3593, 3403, 621, 15942, 2451, 610, 1318, 609, 513, 5347, 14318, 563, 2252, 519, 3593, 2046, 519, 16181, 1282, 519, 14318, 267, 1775, 4941, 519, 14318, 547, 1832, 1699, 6991, 543, 3082, 519, 10231, 547, 3914, 519, 3077, 3845, 538, 519, 4941, 942, 780, 11693, 3355, 6991, 966, 267, 3845, 547, 2951, 590, 543, 942, 570, 267, 1265, 519, 10231, 563, 763, 14318, 786, 3432, 909, 952, 1699, 3432, 568, 1932, 1970, 267, 610, 25483, 1394, 952, 621, 729, 1932, 3728, 563, 3086, 621, 786, 849, 960, 952, 3355, 3432, 568, 2942, 267, 799, 666, 4523, 780, 22772, 1283, 1448, 269, 724, 630, 2420, 269, 279, 22995, 2020, 12552, 1586, 16921, 2439, 296, 3580, 6460, 713, 547, 795, 822, 2444, 2815, 543, 1775, 3580, 2119, 547, 3095, 1934, 513, 2324, 2985, 780, 288, 815, 630, 295, 23444, 307, 265, 321, 6953, 8358, 275, 31618, 307, 6953, 11486, 11924, 295, 317, 273, 14370, 273, 265, 321, 2020, 1607, 568, 606, 3830, 585, 519, 1858, 1210, 29890, 269, 536, 568, 1250, 5187, 2305, 585, 16009, 15512, 799, 568, 519, 3330, 5086, 693, 519, 1318, 1439, 540, 519, 3337, 269, 5502, 540, 536, 596, 1223, 849, 946, 3368, 540, 519, 519, 5086, 693, 519, 9133, 799, 568, 2141, 476, 3445, 4113, 910, 536, 269, 594, 4076, 1031, 713, 3896, 547, 4194, 519, 3830, 585, 536, 780, 321, 815, 630, 9230, 275, 265, 288, 317, 273, 268, 275, 265, 288, 265, 295, 265, 307, 266, 273, 265, 295, 317, 273, 265, 307, 317, 273, 8358, 307, 317, 275, 8203, 271, 269, 276, 11924, 263, 273, 265, 288, 6953, 265, 307, 8358, 307, 317, 273, 692, 613, 5852, 318, 2889, 12378, 8548, 4135, 333, 269, 724, 630, 3607, 269, 275, 22995, 2020, 19350, 568, 513, 16866, 4528, 1384, 613, 5852, 318, 2889, 12378, 8548, 4135, 333, 5334, 574, 680, 1881, 269, 724, 630, 866, 269, 274, 22995, 2020, 273, 700, 10105, 692, 5591, 991, 585, 713, 1317, 519, 2034, 3070, 2141, 2999, 476, 271, 799, 4734, 1152, 519, 1101, 835, 692, 5194, 1259, 547, 1265, 519, 1482, 3830, 281, 476, 273, 265, 307, 265, 300, 11054, 266, 275, 16732, 307, 265, 295, 5025, 12684, 300, 23444, 307, 265, 295, 268, 273, 265, 288, 12684, 295, 815, 476, 271, 454, 4517, 2141, 281, 630, 307, 21610, 9984, 263, 295, 19072, 264, 815, 476, 273, 2073, 1496, 301, 543, 631, 3436, 476, 271, 6540, 272, 6145, 692, 11039, 267, 2413, 2395, 991, 2413, 2645, 2507, 692, 763, 5580, 1448, 1131, 581, 630, 339, 820, 519, 1101, 1448, 607, 476, 271, 267, 271, 17107, 987, 269, 724, 630, 278, 269, 271, 22995, 2020, 3528, 519, 1259, 519, 3830, 540, 519, 5580, 1448, 267, 1247, 670, 20081, 568, 6378, 1299, 589, 568, 4657, 568, 1384, 810, 519, 29297, 1774, 568, 1535, 284, 307, 270, 273, 692, 6112, 570, 568, 4657, 568, 1384, 6112, 670, 568, 4657, 568, 1384, 275, 700, 10105, 692, 291, 600, 333, 16921, 256, 962, 685, 718, 616, 2469, 782, 538, 1934, 2439, 272, 6145, 692, 2252, 596, 8068, 609, 713, 3845, 568, 6378, 692, 763, 1858, 2141, 519, 1482, 950, 649, 1847, 519, 1448, 2059, 519, 7455, 267, 6148, 972, 568, 513, 22762, 3740, 3070, 780, 728, 269, 724, 630, 866, 269, 273, 22995, 2020, 272, 6145, 692, 1607, 568, 1776, 3070, 1210, 26344, 5852, 547, 1265, 1990, 692, 338, 565, 274, 269, 724, 630, 2537, 269, 274, 22995, 2020, 272, 6145, 692, 296, 1810, 1406, 723, 4376, 547, 1039, 2864, 982, 547, 2161, 602, 594, 2648, 713, 8468, 692, 274, 700, 10105, 692, 5194, 1259, 547, 1205, 693, 519, 3070, 1247, 9319, 4645, 3252, 630, 323, 821, 593, 513, 2022, 32717, 4063, 267, 519, 1259, 2979, 729, 5921, 547, 581, 2944, 476, 2567, 2347, 519, 2451, 6906, 547, 1205, 1079, 11604, 268, 13548, 12730, 1142, 540, 4463, 586, 543, 8700, 1535, 269, 634, 2698, 1858, 540, 1312, 12730, 568, 27976, 543, 519, 9241, 3773, 6906, 4062, 814, 1858, 1422, 2765, 346, 272, 2410, 273, 348, 295, 263, 273, 343, 6874, 1040, 32027, 519, 2127, 1927, 543, 1210, 4473, 270, 14725, 585, 2147, 12730, 267, 649, 1205, 1079, 4834, 538, 938, 1079, 26968, 985, 1535, 543, 586, 1384, 1892, 27976, 815, 589, 1341, 1422, 2765, 346, 272, 2410, 273, 348, 295, 263, 273, 343, 6874, 994, 1892, 1422, 2765, 26635, 2410, 343, 348, 815, 1422, 2765, 346, 295, 2410, 273, 343, 6874, 10926, 1607, 666, 581, 16866, 1524, 547, 513, 13392, 3830, 585, 1535, 267, 609, 586, 2016, 538, 2474, 540, 1535, 1384, 1892, 670, 343, 317, 273, 910, 476, 273, 263, 12487, 5025, 32589, 1341, 570, 7268, 2765, 346, 272, 2410, 273, 348, 12487, 5025, 264, 815, 476, 271, 454, 1892, 586, 815, 1422, 2765, 346, 272, 2410, 343, 22042, 288, 1341, 670, 3287, 10559, 2765, 346, 272, 2410, 273, 348, 307, 264, 6540, 3383, 4019, 519, 13392, 4542, 547, 1205, 519, 8700, 1535, 267, 543, 1287, 11690, 621, 883, 519, 2034, 3830, 547, 1205, 519, 4463, 586, 269, 0, 258, 1215, 547, 30770, 519, 670, 13783, 11270, 17776, 593, 606, 20971, 692, 328, 18347, 30502, 270, 21900, 657, 2593, 270, 7476, 1399, 16103, 692, 763, 8066, 1974, 2132, 267, 610, 670, 11266, 267, 568, 835, 540, 519, 14724, 5092, 10526, 596, 666, 5173, 1317, 621, 23304, 1841, 519, 3259, 540, 519, 5092, 547, 3132, 606, 2949, 2132, 2557, 540, 519, 5092, 269, 1403, 782, 596, 991, 568, 513, 4137, 602, 3081, 875, 1454, 707, 2724, 8057, 267, 713, 568, 519, 9819, 585, 596, 269, 1717, 267, 713, 9819, 4465, 1405, 1577, 596, 5635, 707, 5092, 547, 1866, 1317, 540, 2693, 3604, 538, 519, 942, 7406, 269, 1306, 606, 1383, 267, 707, 7023, 949, 1350, 13331, 693, 1010, 476, 736, 2600, 670, 11266, 3379, 547, 707, 476, 276, 2600, 267, 855, 646, 3580, 3533, 9505, 909, 950, 646, 30877, 1010, 5092, 3576, 2947, 1296, 1247, 16523, 5949, 16074, 780, 1012, 5153, 476, 272, 692, 11754, 1022, 6666, 8928, 5833, 689, 519, 5092, 269, 1306, 606, 1383, 267, 952, 596, 16539, 538, 6006, 13235, 602, 3812, 10116, 569, 27993, 540, 8096, 271, 269, 2004, 267, 596, 4607, 5216, 971, 11033, 829, 2671, 936, 519, 1576, 540, 1079, 1296, 269, 901, 2164, 538, 513, 2698, 6666, 2095, 540, 8096, 275, 829, 2671, 269, 5221, 670, 11266, 21410, 513, 6871, 267, 596, 798, 711, 991, 547, 9062, 519, 829, 2671, 6666, 2095, 676, 519, 1297, 540, 8843, 596, 1378, 269, 5901, 621, 2241, 676, 9363, 593, 513, 829, 6879, 732, 9819, 780, 1012, 5153, 476, 273, 692, 11754, 519, 6666, 8928, 547, 519, 8066, 1974, 781, 10678, 5092, 1871, 269, 769, 519, 1383, 267, 952, 6006, 13235, 9782, 547, 8096, 10219, 829, 2671, 267, 1039, 8096, 10219, 7132, 8096, 275, 547, 5173, 513, 2698, 1871, 540, 8096, 15782, 829, 2671, 780, 1012, 5153, 476, 274, 692, 19667, 728, 713, 4137, 676, 519, 5092, 781, 1871, 693, 519, 4098, 540, 519, 8066, 1974, 269, 769, 519, 1383, 267, 952, 596, 12349, 6006, 13235, 585, 8096, 2004, 267, 7941, 8096, 15782, 676, 8096, 2004, 547, 21410, 513, 12750, 1512, 540, 476, 273, 269, 6812, 780, 1012, 5153, 476, 275, 692, 8138, 339, 847, 835, 689, 519, 12750, 1512, 547, 21410, 519, 670, 11266, 538, 8918, 3898, 269, 769, 519, 1383, 267, 476, 273, 269, 6812, 14263, 476, 272, 21410, 606, 670, 11266, 540, 476, 272, 269, 6812, 780, 1012, 5153, 476, 276, 692, 11372, 17586, 713, 4137, 676, 476, 1911, 547, 6460, 621, 547, 2600, 3898, 269, 769, 519, 1383, 267, 476, 272, 269, 6812, 2053, 476, 1911, 17838, 519, 8918, 3898, 547, 513, 476, 15647, 2600, 2132, 593, 5092, 1282, 519, 8066, 1974, 269, 0, 258, 1411, 6718, 513, 2698, 540, 476, 3393, 8843, 540, 13632, 689, 476, 274, 1114, 3549, 269, 1411, 6718, 7466, 607, 1082, 8843, 540, 2754, 524, 6006, 607, 596, 798, 2754, 513, 269, 7577, 513, 6006, 23619, 585, 8096, 1428, 267, 2754, 645, 23619, 585, 8096, 1321, 267, 543, 2754, 595, 23619, 585, 8096, 1240, 269, 589, 264, 5581, 513, 2582, 4756, 543, 2328, 606, 3830, 585, 519, 2698, 1942, 540, 519, 6006, 289, 264, 952, 596, 11751, 476, 1015, 8843, 540, 2754, 589, 6006, 267, 1018, 729, 519, 1942, 290, 264, 14520, 3275, 2663, 519, 1871, 540, 2754, 589, 781, 6006, 2799, 476, 1839, 9077, 543, 2754, 595, 781, 8519, 476, 1015, 10065, 3503, 513, 1007, 3830, 547, 2769, 519, 1871, 540, 519, 6006, 1631, 269, 667, 264, 1018, 568, 519, 2600, 540, 2333, 610, 6175, 538, 519, 1871, 540, 707, 6718, 689, 851, 536, 2496, 272, 454, 2421, 9291, 4565, 2931, 515, 541, 692, 1001, 275, 268, 6021, 268, 6734, 307, 2420, 281, 1240, 281, 1015, 268, 6860, 281, 876, 454, 288, 264, 763, 2698, 1942, 1131, 581, 281, 1535, 284, 1428, 320, 266, 1321, 321, 266, 1240, 322, 1141, 1535, 568, 519, 2698, 1942, 543, 513, 14720, 25467, 524, 616, 519, 2179, 540, 13632, 596, 11751, 689, 741, 9757, 3549, 780, 289, 264, 4595, 596, 11751, 476, 1015, 589, 13632, 267, 596, 1590, 723, 11751, 476, 736, 595, 13632, 269, 2334, 8591, 909, 547, 476, 1789, 11751, 267, 6028, 476, 1428, 585, 645, 780, 343, 14352, 1428, 7565, 1015, 11924, 263, 1321, 7565, 1428, 11924, 263, 1240, 7565, 736, 994, 343, 284, 5611, 266, 5197, 266, 11740, 7807, 259, 277, 3445, 6170, 692, 290, 264, 589, 781, 6006, 568, 1631, 476, 1428, 263, 272, 269, 1839, 264, 799, 568, 476, 1240, 269, 4037, 269, 595, 781, 6006, 568, 1631, 476, 1240, 263, 269, 3445, 264, 799, 568, 476, 1626, 269, 273, 454, 2908, 3830, 568, 476, 1240, 269, 4037, 320, 266, 1321, 321, 266, 1626, 269, 273, 322, 24210, 692, 291, 264, 15240, 3482, 519, 1297, 540, 13632, 649, 11751, 689, 1142, 538, 1586, 912, 6942, 269, 276, 266, 5197, 266, 27844, 7807, 259, 7597, 272, 269, 276, 692, 763, 1942, 4682, 909, 5594, 267, 865, 7941, 476, 277, 3445, 270, 7597, 272, 269, 276, 1287, 9062, 602, 1297, 676, 835, 4627, 269, 1411, 1205, 602, 596, 6170, 538, 645, 476, 4200, 269, 279, 260, 519, 2179, 596, 6170, 538, 595, 269, 1924, 476, 1911, 268, 4200, 269, 279, 284, 606, 2333, 540, 1547, 273, 260, 0, 30125, 476, 25148, 3689, 28914, 11929, 4728, 476, 1015, 267, 476, 1220, 276, 692, 9743, 15297, 281, 8382, 1312, 2055, 538, 606, 981, 27412, 269, 5213, 1405, 7340, 547, 1129, 519, 32410, 780, 19370, 476, 272, 454, 320, 269, 589, 3196, 674, 6411, 593, 9325, 540, 2527, 544, 538, 476, 274, 291, 2230, 269, 634, 3196, 568, 8174, 762, 689, 513, 1761, 267, 674, 815, 910, 5552, 1109, 308, 269, 8058, 602, 13053, 781, 2034, 1876, 5205, 689, 20698, 9792, 781, 4834, 585, 519, 9325, 563, 763, 20698, 337, 836, 1014, 568, 700, 815, 476, 272, 270, 273, 332, 3287, 6440, 273, 1341, 586, 6440, 273, 1341, 1990, 6440, 273, 264, 910, 772, 269, 20698, 9792, 781, 4834, 1831, 454, 533, 343, 815, 2485, 370, 299, 2485, 370, 343, 6440, 815, 544, 6398, 343, 3092, 269, 2485, 370, 299, 2485, 370, 343, 815, 910, 2485, 370, 308, 2485, 370, 343, 815, 674, 343, 476, 6892, 865, 6398, 533, 343, 815, 544, 6398, 9943, 343, 815, 674, 343, 454, 663, 13974, 585, 586, 543, 1990, 563, 536, 269, 589, 14629, 568, 538, 519, 3337, 540, 3368, 513, 12718, 540, 8953, 681, 269, 634, 3432, 540, 513, 17079, 17875, 1782, 593, 713, 14629, 568, 14354, 547, 922, 4463, 1657, 519, 3490, 269, 634, 17079, 6499 ]

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

[ 275, 291, 3299, 1412, 276, 291, 3299, 1412, 277, 291, 3299, 1412, 278, 291, 3299, 1412, 279, 291, 3299, 1412, 280, 291, 3299, 1412, 1015, 291, 3299, 1477, 4449, 1412, 297, 291, 3299, 1412, 304, 291, 3299, 1412, 28474, 12887, 4696, 3299, 1412, 273, 295, 3299, 1412, 274, 295, 3299, 1412, 275, 295, 3299, 1412, 276, 295, 3299, 1412, 277, 295, 3299, 1412, 278, 295, 3299, 1412, 279, 295, 3299, 1477, 4449, 1412, 280, 295, 3299, 1412, 1015, 295, 3299, 1412, 297, 295, 3299, 1412, 304, 295, 3299, 1412, 298, 295, 3299, 1412, 288, 295, 3299, 1412, 273, 306, 3299, 1412, 274, 306, 3299, 1412, 275, 306, 3299, 1412, 276, 306, 3299, 1412, 277, 306, 3299, 1477, 4449, 1412, 278, 306, 3299, 1412, 279, 306, 3299, 1412, 280, 306, 3299, 1412, 1015, 306, 3299, 1412, 297, 306, 3299, 1412, 304, 306, 3299, 1412, 16775, 3299, 1412, 3008, 11172, 1477, 5035, 1546, 1188, 6769, 825, 16064, 6831, 1841, 23631, 341, 815, 1496, 15947, 825, 16064, 27133, 815, 1496, 15947, 825, 1219, 6449, 8181, 9191, 1345, 267, 23912, 5719, 1188, 8029, 1038, 1582, 19709, 1188, 27133, 815, 10288, 5719, 1188, 6983, 4878, 14052, 1038, 1820, 4311, 19709, 1188, 27133, 3418, 825, 1219, 4308, 4311, 8029, 1038, 18808, 6831, 731, 815, 1582, 19709, 1188, 27133, 314, 271, 15947, 1038, 1582, 19709, 1188, 27133, 21014, 263, 271, 3418, 1038, 2132, 18808, 6831, 731, 1477, 825, 1219, 10178, 4311, 8029, 1038, 1820, 4311, 19709, 1188, 27133, 3418, 825, 1219, 1931, 4311, 8029, 1038, 1582, 19709, 1188, 27133, 815, 10288, 5719, 1188, 6983, 4878, 14052, 825, 1219, 695, 4428, 1782, 4311, 8029, 1038, 1582, 19709, 1188, 27133, 815, 10288, 5719, 1188, 6983, 4878, 14052, 1038, 1820, 2891, 763, 6486, 723, 1044, 695, 4428, 1194, 1701, 3418, 1038, 2132, 695, 28984, 4311, 19709, 1188, 27133, 3418, 825, 1219, 568, 302, 6113, 1229, 4311, 8029, 1038, 1820, 2891, 5719, 1188, 27133, 2580, 1345, 19709, 1188, 27133, 3418, 1038, 16064, 6831, 1841, 23631, 341, 815, 1582, 19709, 1188, 27133, 11468, 18737, 272, 15947, 1038, 1820, 2891, 302, 6113, 1359, 14744, 1038, 1948, 2745, 2891, 3725, 341, 27133, 2580, 1372, 1188, 6831, 1841, 23631, 341, 3418, 1038, 10288, 23631, 341, 815, 10288, 5719, 1188, 11468, 18737, 272, 15947, 1038, 1948, 2745, 2891, 302, 6113, 1229, 4860, 2580, 23912, 23631, 341, 3418, 1038, 3259, 815, 7003, 263, 1372, 1188, 6831, 1841, 23631, 341, 3418, 1038, 1775, 815, 476, 271, 1477, 1038, 1293, 815, 476, 272, 1477, 1038, 1247, 9217, 283, 26319, 8029, 2018, 952, 16064, 6831, 1841, 23631, 341, 5157, 316, 2652, 10288, 23631, 341, 5157, 316, 6769, 3546, 1293, 6834, 272, 1477, 2018, 3116, 2433, 1477, 3546, 1820, 2891, 763, 16064, 568, 711, 10288, 14744, 3546, 2132, 8771, 1477, 3546, 2736, 1477, 2018, 1775, 23785, 272, 1477, 2018, 2132, 6936, 1477, 2745, 9497, 8702, 547, 519, 10794, 256, 8442, 25639, 1477, 1372, 1188, 815, 1546, 1188, 263, 23912, 5719, 1188, 3418, 2745, 2891, 13090, 1372, 531, 1693, 14744, 2745, 263, 1372, 1188, 19709, 531, 3890, 3418, 2745, 2891, 13090, 293, 534, 1693, 14744, 2745, 263, 1372, 1188, 8807, 534, 3890, 3418, 2745, 2891, 13090, 4537, 4428, 1782, 1693, 14744, 2745, 263, 1372, 1188, 11075, 4428, 1782, 3890, 3418, 2745, 263, 1372, 1188, 18994, 302, 6113, 1229, 3890, 3418, 5897, 24653, 1363, 1477, 1363, 5897, 1363, 1477, 24541, 0, 258, 476, 5785, 14343, 19567, 258, 9891, 21902, 4147, 692, 258, 901, 568, 519, 9891, 3590, 1362, 799, 6585, 782, 540, 519, 10785, 543, 8060, 454, 258, 741, 5872, 780, 258, 476, 5785, 14343, 19567, 258, 476, 5785, 14343, 9339, 454, 258, 29313, 3036, 4811, 692, 5228, 14136, 1104, 27661, 5228, 32001, 1104, 2608, 692, 258, 476, 5785, 14343, 19567, 5035, 9891, 21902, 1384, 453, 12163, 453, 9377, 1149, 519, 3432, 540, 519, 11191, 454, 453, 12163, 453, 9915, 292, 3633, 815, 476, 272, 16963, 453, 18851, 3097, 453, 31262, 281, 3097, 453, 453, 22873, 658, 5314, 780, 453, 20373, 912, 453, 453, 1607, 3355, 2478, 519, 3859, 1062, 1362, 676, 2870, 782, 540, 519, 7440, 454, 453, 453, 663, 4946, 873, 547, 513, 1592, 780, 453, 6635, 7714, 912, 453, 19677, 281, 8682, 689, 1362, 563, 453, 18851, 453, 3097, 22592, 6449, 8181, 9191, 1345, 17107, 453, 19677, 14857, 30720, 815, 32001, 4590, 453, 19677, 14857, 17839, 1115, 815, 1582, 269, 22056, 23945, 564, 8266, 4590, 453, 19677, 269, 534, 1493, 4590, 453, 19677, 14857, 30720, 6230, 664, 299, 17274, 10797, 453, 18851, 3097, 453, 31262, 281, 3097, 453, 453, 22056, 23945, 564, 8266, 692, 453, 20373, 912, 453, 453, 1607, 5932, 513, 1592, 540, 782, 540, 519, 10785, 543, 1287, 813, 1742, 873, 547, 454, 453, 453, 534, 5044, 692, 453, 6635, 7714, 912, 453, 19677, 281, 8682, 689, 1362, 780, 453, 14303, 5281, 912, 453, 453, 17839, 1115, 281, 589, 1592, 540, 519, 10785, 563, 453, 18851, 28768, 22592, 1711, 23945, 564, 8266, 4311, 17107, 453, 453, 15711, 815, 14136, 4311, 14857, 30720, 267, 834, 26422, 2580, 476, 20065, 1822, 267, 476, 271, 267, 476, 271, 267, 476, 276, 267, 834, 344, 3641, 2580, 476, 271, 267, 476, 271, 267, 476, 271, 994, 453, 453, 1067, 322, 1722, 815, 14136, 4311, 14857, 30720, 267, 834, 300, 11697, 2580, 476, 271, 269, 6187, 267, 476, 271, 269, 4343, 278, 267, 476, 271, 267, 476, 276, 267, 834, 326, 9445, 2580, 476, 271, 269, 4343, 278, 272, 267, 476, 271, 269, 13078, 277, 267, 476, 9262, 269, 280, 7597, 994, 453, 453, 1597, 639, 815, 14136, 4311, 14857, 30720, 267, 834, 309, 523, 639, 2580, 476, 271, 269, 11025, 267, 476, 271, 269, 278, 2537, 267, 476, 271, 267, 476, 276, 267, 834, 528, 1052, 2580, 476, 271, 269, 278, 2537, 274, 267, 476, 271, 269, 24879, 279, 267, 476, 23470, 269, 3583, 272, 994, 453, 453, 24160, 815, 14136, 4311, 14857, 30720, 267, 834, 24618, 2580, 476, 272, 267, 476, 272, 267, 476, 271, 267, 476, 276, 267, 834, 19990, 2580, 476, 272, 269, 1822, 267, 476, 271, 269, 28318, 278, 267, 476, 18458, 269, 16348, 994, 453, 453, 332, 1513, 815, 14136, 4311, 14857, 30720, 267, 834, 300, 1513, 2580, 476, 271, 269, 1556, 267, 476, 272, 269, 276, 2190, 267, 476, 271, 267, 476, 276, 267, 834, 326, 1245, 273, 2580, 476, 272, 269, 276, 2767, 274, 267, 476, 271, 269, 6021, 274, 275, 267, 476, 6924, 277, 269, 7176, 994, 453, 453, 329, 17132, 815, 14136, 4311, 14857, 30720, 267, 834, 297, 17132, 2580, 476, 28766, 269, 279, 267, 476, 276, 269, 10711, 267, 476, 271, 267, 476, 276, 267, 834, 628, 16824, 275, 2580, 476, 276, 269, 1708, 279, 267, 476, 271, 269, 271, 4366, 275, 267, 476, 28242, 280, 269, 8287, 994, 453, 453, 338, 520, 1248, 815, 14136, 4311, 14857, 30720, 267, 834, 25823, 1248, 2580, 476, 4817, 269, 273, 267, 476, 280, 269, 6812, 273, 267, 476, 271, 267, 476, 276, 267, 834, 16223, 13403, 273, 2580, 476, 280, 269, 276, 4343, 279, 267, 476, 271, 269, 4962, 275, 273, 267, 476, 13040, 7906, 269, 3199, 276, 994, 453, 453, 584, 29104, 815, 14136, 4311, 14857, 30720, 267, 834, 308, 3757, 639, 2580, 476, 1691, 269, 277, 267, 476, 866, 269, 1001, 267, 476, 271, 267, 476, 276, 267, 834, 20391, 19990, 2580, 476, 866, 269, 4489, 275, 267, 476, 271, 269, 271, 5325, 273, 267, 476, 27420, 5038, 269, 27888, 994, 453, 453, 928, 31337, 815, 14136, 4311, 14857, 30720, 267, 834, 10468, 31337, 2580, 476, 1704, 269, 273, 267, 476, 1789, 269, 271, 5325, 267, 476, 271, 267, 476, 276, 267, 834, 5797, 531, 19990, 274, 2580, 476, 1789, 269, 6187, 272, 272, 267, 476, 271, 269, 25484, 277, 267, 476, 31430, 4366, 269, 3374, 2020, 453, 453, 17839, 1115, 815, 11713, 453, 453, 17839, 1115, 6910, 4433, 684, 994, 453, 453, 17839, 1115, 6910, 263, 1067, 322, 1722, 994, 453, 453, 17839, 1115, 6910, 263, 1597, 639, 994, 453, 453, 17839, 1115, 6910, 263, 24160, 994, 453, 453, 17839, 1115, 6910, 9852, 1513, 994, 453, 453, 17839, 1115, 6910, 27203, 17132, 994, 453, 453, 17839, 1115, 6910, 4433, 520, 1248, 994, 453, 453, 17839, 1115, 6910, 263, 584, 29104, 994, 453, 453, 17839, 1115, 6910, 263, 928, 31337, 2020, 453, 16596, 10785, 692, 453, 18851, 3097, 453, 31262, 281, 3097, 453, 453, 534, 1493, 692, 453, 20373, 912, 453, 453, 1607, 568, 1031, 547, 2196, 519, 4890, 14318, 540, 519, 3859, 1062, 269, 3097, 453, 453, 9336, 21767, 621, 1579, 1513, 519, 5496, 543, 1287, 14405, 1142, 540, 519, 3097, 453, 453, 17839, 1115, 780, 453, 6635, 7714, 912, 453, 19677, 281, 8682, 689, 1362, 563, 453, 18851, 28768, 22592, 606, 1493, 4311, 17107, 453, 19677, 14857, 30720, 269, 27234, 10797, 453, 22610, 4541, 538, 1582, 14857, 17839, 1115, 912, 4848, 453, 17839, 564, 269, 534, 1493, 3890, 4848, 692, 453, 19677, 14857, 30720, 269, 12898, 4311, 2529, 14154, 3633, 267, 1582, 269, 534, 1493, 994, 0, 258, 1692, 547, 1525, 513, 28607, 339, 758, 7762, 1210, 9226, 1477, 5814, 7510, 2246, 690, 14241, 1477, 5814, 942, 1477, 6853, 2246, 690, 14241, 269, 11902, 6579, 6347, 25539, 815, 8771, 1477, 6853, 2246, 690, 14241, 6230, 913, 2414, 263, 8287, 267, 4037, 279, 267, 273, 264, 258, 2998, 547, 3406, 10874, 1477, 6853, 2246, 690, 14241, 17085, 1157, 31476, 6853, 2246, 690, 14241, 269, 6943, 31095, 3488, 2998, 4355, 669, 4435, 3299, 269, 1839, 264, 1948, 1826, 543, 3406, 24440, 669, 4435, 1477, 6853, 2246, 690, 14241, 4877, 816, 3488, 10938, 20298, 5503, 4732, 2748, 263, 275, 10142, 6853, 2246, 690, 14241, 269, 6943, 31095, 3488, 4179, 2517, 4178, 6745, 1731, 339, 758, 2593, 3299, 269, 1839, 264, 1948, 10938, 1357, 3095, 538, 3406, 3046, 1477, 6853, 2246, 690, 14241, 4877, 816, 3488, 10938, 20298, 5503, 4732, 2748, 263, 273, 10142, 6853, 2246, 690, 14241, 6230, 913, 2414, 263, 278, 3607, 267, 476, 31079, 267, 476, 273, 264, 1948, 289, 582, 786, 979, 547, 4585, 1631, 1477, 6853, 2246, 690, 14241, 17085, 1157, 31476, 6853, 2246, 690, 14241, 6230, 913, 2414, 263, 13040, 267, 7742, 267, 476, 273, 264, 258, 289, 582, 786, 979, 547, 1739, 1477, 6853, 2246, 690, 14241, 17085, 1157, 31476, 6853, 2246, 690, 14241, 6230, 913, 2414, 263, 6321, 272, 267, 4375, 276, 267, 476, 275, 264, 1948, 289, 582, 786, 979, 547, 3381, 1477, 6853, 2246, 690, 14241, 17085, 1157, 31476, 1721, 1535, 538, 2039, 263, 271, 267, 276, 2567, 1948, 6011, 1082, 3381, 1775, 1616, 547, 1294, 4732, 6269, 846, 1775, 1616, 547, 1294, 476, 276, 3381, 269, 9767, 666, 4188, 2333, 610, 6175, 519, 2039, 1477, 825, 942, 4732, 2748, 263, 1015, 264, 1948, 31296, 3381, 585, 476, 1015, 3813, 1547, 9767, 666, 1689, 607, 596, 1616, 1477, 825, 7510, 2246, 690, 14241, 6230, 913, 2414, 263, 6321, 272, 267, 476, 4375, 276, 267, 272, 3738, 476, 1948, 899, 3381, 1477, 825, 7510, 2246, 690, 14241, 17085, 1157, 14052, 825, 7510, 2246, 690, 14241, 17085, 1157, 14052, 825, 7510, 2246, 690, 14241, 6230, 913, 2414, 263, 278, 8618, 267, 4375, 276, 267, 272, 264, 1948, 2452, 1985, 3381, 1477, 825, 7510, 2246, 690, 14241, 17085, 1157, 31476, 6853, 2246, 690, 14241, 6230, 913, 2414, 263, 13670, 279, 267, 274, 267, 476, 273, 264, 1948, 289, 582, 786, 2673, 11422, 1477, 6853, 2246, 690, 14241, 17085, 1157, 3890, 0, 5228, 19523, 1104, 2415, 341, 267, 14827, 692, 258, 7696, 281, 7024, 513, 1592, 540, 12673, 4646, 676, 29780, 519, 454, 258, 1915, 524, 693, 1142, 4994, 540, 5569, 521, 630, 10175, 1310, 521, 994, 258, 630, 324, 3052, 1421, 7696, 3488, 338, 3299, 1412, 13906, 10807, 7024, 18358, 2675, 520, 3299, 1412, 14369, 520, 3299, 1412, 4751, 3299, 1412, 322, 1846, 262, 7481, 3698, 7696, 6262, 267, 521, 2187, 453, 12133, 338, 815, 11713, 22610, 1775, 538, 2039, 263, 271, 267, 7003, 4433, 264, 1341, 476, 272, 2187, 453, 453, 12133, 338, 6910, 4433, 11468, 328, 316, 1341, 524, 1341, 521, 5157, 281, 7481, 16596, 7696, 338, 692, 258, 16849, 513, 1592, 540, 782, 32545, 540, 5569, 521, 454, 3698, 32545, 4433, 2187, 14851, 7003, 4433, 264, 2652, 476, 272, 912, 453, 16596, 1496, 338, 2639, 453, 19197, 7003, 4433, 264, 2652, 476, 273, 912, 453, 16596, 1496, 338, 267, 521, 11468, 18737, 272, 27663, 28432, 912, 453, 453, 704, 916, 815, 11713, 453, 22610, 512, 538, 32545, 4433, 314, 272, 281, 316 ]

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

[ 593, 519, 3923, 540, 4728, 799, 13978, 15399, 334, 4873, 269, 634, 2916, 3788, 6899, 585, 1034, 540, 519, 1032, 269, 4438, 4832, 267, 538, 513, 4686, 2013, 519, 2837, 4422, 15399, 334, 476, 2412, 4110, 563, 5475, 4832, 4991, 936, 267, 14175, 344, 4005, 5956, 4358, 689, 3923, 5147, 543, 3788, 11489, 5239, 269, 2991, 3933, 22792, 4005, 267, 15604, 13788, 543, 5170, 11489, 5988, 269, 715, 1301, 3385, 5211, 666, 1376, 547, 24492, 1282, 519, 7050, 22856, 799, 2333, 1981, 540, 17160, 269, 634, 2679, 540, 21394, 948, 538, 9013, 3510, 540, 6360, 269, 1809, 6360, 568, 2141, 2009, 538, 713, 2749, 1282, 519, 24925, 4005, 269, 12875, 1235, 1590, 2057, 4058, 7552, 538, 14175, 344, 17897, 269, 0, 288, 16775, 295, 19181, 295, 4456, 570, 4932, 303, 4041, 25886, 32473, 5442, 19489, 7246, 3582, 9474, 27345, 589, 16775, 295, 19181, 295, 4456, 717, 13263, 295, 2562, 8980, 2752, 454, 288, 16775, 295, 19181, 295, 4456, 570, 4932, 303, 4041, 25886, 18737, 589, 802, 14551, 5069, 519, 11454, 540, 4210, 3133, 541, 18885, 538, 717, 663, 327, 514, 26196, 568, 4583, 782, 936, 30899, 520, 269, 26023, 267, 3127, 568, 519, 1034, 3909, 1747, 1141, 18459, 616, 7281, 269, 898, 568, 8300, 676, 962, 690, 25702, 4210, 9564, 519, 8772, 5289, 24288, 540, 7083, 4210, 3133, 541, 18885, 2687, 547, 519, 21000, 1588, 540, 4210, 3133, 541, 18885, 18420, 269, 901, 568, 1711, 676, 623, 1090, 4157, 327, 4210, 9564, 519, 11359, 5289, 24288, 540, 7083, 4210, 3133, 541, 18885, 2687, 547, 519, 21000, 1588, 540, 18420, 269, 3245, 14076, 553, 22474, 267, 476, 277, 267, 1822, 9748, 540, 11909, 32498, 941, 946, 538, 519, 4070, 540, 589, 802, 14551, 5069, 13495, 597, 693, 519, 8998, 540, 476, 2537, 14092, 516, 1950, 563, 763, 6482, 540, 589, 802, 14551, 5069, 13495, 597, 799, 3800, 547, 476, 10482, 3952, 1164, 267, 476, 13301, 3952, 1279, 267, 476, 14530, 3952, 2647, 269, 5015, 267, 17972, 899, 476, 9032, 1286, 557, 22225, 267, 476, 279, 2545, 935, 625, 267, 476, 1704, 546, 2345, 267, 476, 25784, 9380, 539, 4137, 543, 476, 13136, 6149, 20832, 269, 769, 13495, 597, 609, 519, 13076, 540, 966, 14037, 11265, 3741, 267, 1100, 5374, 610, 4401, 814, 1044, 946, 9170, 269, 13495, 597, 779, 3844, 12068, 8075, 513, 5722, 20356, 2389, 718, 267, 4154, 6978, 539, 544, 4669, 328, 610, 2868, 569, 3239, 4210, 3133, 541, 18885, 945, 568, 10847, 676, 13794, 607, 2696, 269, 634, 544, 4669, 328, 26520, 2390, 513, 1614, 20356, 19516, 531, 543, 22179, 476, 272, 269, 273, 9748, 269, 2755, 267, 2201, 5181, 476, 1220, 273, 1079, 11439, 9810, 1235, 4323, 589, 802, 14551, 5069, 543, 972, 729, 519, 2669, 540, 476, 3451, 1004, 269, 2755, 2060, 519, 948, 2817, 8232, 15050, 1079, 9810, 1235, 941, 6146, 269, 589, 11755, 10198, 3366, 676, 623, 1090, 4157, 327, 4210, 9564, 543, 476, 1789, 267, 1822, 1004, 7390, 11755, 269, 13495, 597, 4991, 556, 268, 13449, 1175, 1310, 476, 1691, 2395, 540, 519, 4323, 563, 20118, 267, 2290, 540, 519, 1034, 2442, 2982, 538, 589, 802, 14551, 5069, 13527, 568, 9045, 16644, 527, 268, 2304, 663, 4826, 8058, 269, 898, 568, 519, 9059, 676, 519, 1482, 946, 540, 3595, 267, 32446, 267, 27515, 267, 8955, 267, 1216, 5496, 16879, 267, 2575, 543, 2661, 2773, 269, 1703, 1418, 1047, 14266, 3252, 3330, 519, 13495, 597, 602, 29608, 1148, 267, 2257, 267, 2528, 543, 17035, 269, 18738, 13495, 597, 267, 972, 616, 2947, 2462, 31508, 585, 1401, 22128, 3483, 269, 9182, 267, 901, 11454, 568, 2198, 622, 693, 717, 663, 327, 514, 26196, 799, 568, 519, 7887, 11454, 538, 3127, 269, 9747, 267, 901, 1747, 568, 513, 2101, 19623, 1747, 1141, 811, 1004, 6908, 547, 269, 0, 27246, 267, 12580, 543, 16473, 633, 21474, 540, 715, 841, 674, 2426, 639, 454, 301, 841, 17343, 568, 606, 3968, 602, 4991, 538, 998, 18015, 538, 707, 18969, 269, 2659, 18969, 949, 5394, 523, 267, 23209, 528, 543, 1835, 18443, 693, 519, 6316, 950, 519, 17970, 17343, 6238, 10825, 269, 1411, 666, 1852, 519, 1928, 2404, 609, 519, 3968, 998, 1582, 13282, 3268, 543, 6646, 269, 634, 19319, 540, 17970, 17343, 568, 602, 519, 3968, 949, 9888, 1256, 1310, 3811, 2126, 269, 774, 1157, 2989, 18969, 949, 581, 513, 1129, 540, 17970, 17343, 269, 1879, 707, 18969, 616, 23209, 1819, 621, 1522, 1611, 596, 723, 17970, 17343, 269, 674, 9567, 1159, 2454, 540, 3952, 543, 25302, 18969, 949, 1611, 596, 723, 17970, 17343, 563, 2791, 666, 1205, 16507, 17970, 5563, 689, 1585, 16507, 7103, 269, 14717, 770, 543, 9044, 849, 2014, 17970, 5563, 269, 715, 5661, 1831, 28221, 543, 3819, 607, 789, 2085, 269, 634, 17343, 13788, 998, 519, 18015, 2813, 1310, 713, 269, 715, 841, 17343, 568, 3361, 676, 4057, 10009, 540, 1973, 547, 519, 3952, 269, 4658, 945, 723, 513, 4617, 4761, 1062, 1419, 7985, 689, 17970, 17343, 269, 634, 2601, 1946, 17970, 17343, 19082, 3728, 568, 1317, 621, 7575, 689, 835, 23179, 547, 1776, 269, 29303, 11953, 20584, 538, 14927, 18497, 2127, 568, 5906, 1317, 621, 3123, 17970, 17343, 269, 19724, 2960, 7063, 543, 17970, 7063, 949, 1291, 547, 17970, 17343, 563, 5353, 3164, 2665, 540, 17970, 17343, 666, 581, 11213, 543, 949, 2014, 8628, 3441, 547, 707, 18969, 269, 4658, 945, 7985, 689, 3987, 7985, 689, 17970, 17343, 1317, 972, 568, 4057, 10009, 540, 1973, 547, 519, 18969, 269, 901, 1797, 789, 949, 7985, 3978, 7063, 689, 513, 5634, 5945, 547, 519, 3952, 269, 901, 568, 1946, 621, 568, 19624, 547, 1294, 707, 4387, 952, 596, 616, 7092, 689, 17970, 17343, 269, 1703, 616, 1114, 2081, 538, 799, 596, 666, 2061, 17970, 17343, 269, 2290, 540, 519, 2101, 15324, 3800, 568, 998, 11067, 707, 3946, 543, 3952, 5781, 269, 1411, 1058, 11547, 707, 3946, 1169, 942, 596, 5905, 707, 7783, 17970, 269, 901, 2337, 538, 4180, 602, 596, 1810, 1406, 3262, 519, 3968, 269, 2991, 11067, 707, 18969, 2327, 596, 5848, 584, 1125, 873, 269, 1411, 1058, 849, 21149, 707, 17970, 2759, 614, 1354, 5969, 707, 18969, 269, 1879, 16013, 2719, 707, 18969, 16013, 2786, 2066, 543, 1287, 1159, 2393, 1156, 519, 8728, 609, 513, 3758, 269, 2353, 519, 5394, 2989, 2127, 593, 707, 18969, 1058, 849, 581, 19429, 1524, 269, 2991, 16013, 2719, 21149, 707, 17970, 804, 23124, 269, 6271, 15324, 2268, 568, 9849, 17570, 268, 25388, 6883, 26852, 269, 1411, 949, 849, 1689, 707, 26852, 2429, 519, 1554, 547, 2061, 3478, 17970, 17343, 269, 901, 568, 1813, 547, 519, 1249, 602, 1004, 4171, 7953, 17570, 513, 2603, 616, 12155, 547, 17970, 17343, 269, 6271, 1259, 540, 7303, 17970, 17343, 568, 9849, 31321, 950, 6972, 538, 14927, 18497, 2127, 899, 10977, 20115, 269, 1879, 596, 4444, 10887, 267, 2327, 596, 3442, 1346, 10887, 609, 2326, 602, 13236, 269, 1411, 666, 2057, 24931, 17970, 17343, 676, 4758, 909, 593, 17970, 32432, 543, 5841, 18969, 563, 310, 904, 538, 6904, 21558, 1677, 523, 841, 31203, 568, 5484, 1030, 2772, 547, 1411, 454, 2467, 616, 1082, 1004, 945, 1205, 519, 547, 523, 841, 16507, 3968, 267, 865, 952, 596, 723, 711, 596, 616, 711, 4805, 269, 1703, 616, 930, 2550, 945, 7985, 689, 713, 2186, 540, 3968, 269, 31598, 1018, 1082, 2550, 949, 711, 917, 568, 2436, 789, 666, 4894, 519, 3644, 1210, 513, 3728, 1184, 1634, 607, 519, 547, 523, 841, 17343, 8851, 269, 634, 8851, 1184, 2882, 1079, 1114, 1379, 22795, 9357, 707, 3952, 2960, 269, 1703, 616, 1082, 4128, 1946, 519, 1184, 568, 835, 540, 519, 1655, 5773, 547, 1521, 519, 2068, 563, 6624, 4782, 519, 5650, 1317, 596, 666, 581, 5280, 1510, 1022, 1928, 693, 782, 543, 1510, 2348, 547, 8430, 585, 824, 20499, 269, 3509, 1004, 786, 581, 6126, 609, 1022, 2126, 602, 568, 711, 4929, 873, 1022, 1928, 269, 634, 1655, 3364, 568, 602, 596, 666, 11177, 707, 19462, 1510, 865, 1454, 1928, 269, 1703, 568, 1100, 2601, 1946, 596, 3112, 979, 998, 519, 1184, 607, 596, 786, 711, 1995, 1022, 1928, 269, 2311, 519, 1482, 942, 596, 917, 596, 786, 1205, 25713, 15564, 25378, 2164, 950, 596, 979, 998, 519, 1184, 563, 763, 5650, 568, 849, 5140, 1317, 621, 9607, 519, 23179, 1510, 4929, 519, 1966, 547, 1022, 824, 851, 540, 519, 1560, 269, 3509, 1114, 2010, 540, 2126, 4734, 1360, 1082, 824, 2127, 4299, 676, 519, 2126, 269, 1411, 949, 581, 5701, 267, 855, 519, 2960, 949, 723, 513, 8628, 10077, 269, 2334, 568, 711, 519, 2013, 609, 519, 8955, 547, 523, 841, 2126, 1184, 269, 18766, 689, 1373, 1928, 1652, 621, 849, 1281, 711, 1860, 519, 2960, 538, 1022, 1259, 269, 1411, 991, 547, 3717, 609, 707, 10629, 952, 596, 723, 713, 2186, 540, 1966, 563, 763, 1184, 568, 711, 2404, 609, 1022, 2427, 2360, 269, 4033, 6527, 949, 948, 2312, 519, 1966, 855, 949, 1439, 909, 4929, 1776, 269, 23875, 786, 581, 2451, 547, 1397, 602, 596, 723, 814, 2042, 269, 1411, 1152, 723, 519, 4299, 1747, 5701, 855, 824, 2694, 786, 711, 7985, 1317, 540, 602, 269, 8307, 519, 23179, 602, 814, 513, 1966, 786, 4309, 2126, 1510, 7133, 824, 2127, 540, 519, 1560, 563, 5194, 5413, 568, 602, 596, 798, 711, 991, 513, 2603, 540, 942, 585, 519, 1184, 269, 4495, 596, 3643, 519, 4387, 596, 1152, 991, 827, 606, 5662, 547, 723, 519, 5650, 2944, 269, 1411, 849, 786, 711, 991, 513, 1246, 909, 899, 621, 568, 513, 2013, 609, 1082, 824, 5773, 269, 634, 824, 1655, 3364, 568, 602, 1256, 1498, 519, 1184, 1281, 711, 1491, 1279, 519, 2164, 1118, 1360, 1279, 269, 2991, 519, 2126, 267, 596, 786, 711, 723, 547, 1832, 1433, 532, 585, 20499, 609, 707, 4387, 585, 513, 1246, 5346, 269, 4475, 1577, 938, 4387, 6023, 596, 8521, 5976, 952, 596, 723, 1022, 2068, 899, 713, 610, 1224, 811, 1631, 827, 971, 5563, 269, 1175, 1118, 2386, 596, 1433, 519, 1655, 6709, 531, 1881, 4387, 585, 519, 5650, 269, 1411, 666, 1287, 581, 2386, 596, 1205, 7759, 540, 519, 3968, 7357, 563, 19522, 547, 6435, 1411, 3683, 2492, 715, 841, 674, 2426, 639, 609, 519, 11374, 9669, 563, 2691, 596, 616, 7092, 689, 17970, 17343, 621, 666, 581, 513, 21898, 547, 707, 1272, 585, 513, 7008, 540, 1296, 952, 596, 798, 711, 723, 519, 1318, 8323, 269, 1411, 991, 547, 2327, 602, 596, 1205, 547, 4137, 856, 513, 5650, 602, 786, 948, 596, 1205, 519, 1655, 950, 621, 2501, 547, 3028, 538, 519, 1318, 6073, 269, 634, 5650, 568, 1031, 585, 519, 1655, 2186, 540, 2126, 607, 621, 786, 723, 519, 1655, 2533, 585, 596, 563, 763, 1297, 835, 3364, 602, 596, 991, 547, 4137, 856, 568, 547, 16013, 519, 18969, 538, 519, 1655, 1259, 269, 901, 1058, 581, 2944, 1354, 596, 1491, 513, 8602, 865, 602, 596, 666, 1101, 9004, 519, 4025, 602, 519, 13271, 786, 1332, 269, 5269, 2386, 602, 596, 798, 711, 2759, 519, 2759, 2873, 607, 713, 786, 1860, 596, 811, 1813, 547, 1585, 5773, 602, 786, 1832, 596, 2324, 538, 519, 1318, 6073, 269, 1411, 991, 547, 1832, 519, 19462, 2922, 865, 602, 596, 798, 711, 1118, 811, 7063, 593, 707, 19462, 267, 581, 2386, 547, 2015, 519, 1318, 7252, 602, 596, 991, 547, 5872, 519, 1318, 6073, 269, 2142, 2386, 547, 1491, 707, 942, 3843, 547, 4137, 856, 519, 1318, 2994, 547, 1832, 596, 2469, 538, 519, 1318, 6073, 563, 2026, 1279, 607, 596, 723, 713, 1344, 7074, 267, 596, 12582, 1406, 1589, 827, 602, 8602, 20471, 269, 8074, 602, 693, 713, 942, 267, 1100, 991, 585, 865, 1136, 707, 9491, 1716, 5661, 610, 547, 523, 5661, 2687, 547, 519, 7426, 269, 898, 1522, 3100, 899, 1945, 596, 1058, 11716, 855, 693, 519, 1439, 540, 519, 1554, 267, 596, 786, 1205, 519, 3390, 540, 28920, 32281, 799, 568, 3361, 1310, 7269, 540, 519, 18969, 269, 2659, 18969, 786, 581, 1100, 1114, 689, 1018, 4523, 547, 513, 26703, 538, 519, 1216, 269, 4107, 540, 519, 17694, 693, 713, 942, 786, 581, 2111, 547, 23309, 998, 950, 519, 18969, 616, 2571, 2614, 543, 1310, 7269, 269, 1879, 602, 4523, 267, 596, 1058, 519, 1655, 3364, 596, 2503, 568, 17343, 1247, 596, 1058, 581, 8156, 621, 563, 29493, 1154, 18969, 568, 606, 1898, 5650, 538, 713, 2126, 596, 991, 547, 798, 543, 1869, 798, 811, 1519, 3478, 7759, 540, 707, 32432, 269, 2986, 1576, 267, 621, 1522, 581, 513, 31484, 548, 547, 798 ]

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

[ 585, 519, 1101, 942, 547, 938, 1702, 593, 513, 2518, 4336, 267, 519, 4598, 540, 2627, 7297, 547, 3226, 6757, 6694, 5521, 15969, 269, 1284, 7318, 2436, 6027, 5521, 8336, 9830, 630, 300, 2975, 338, 282, 1775, 4318, 1421, 3067, 1881, 5521, 8336, 9830, 264, 9765, 741, 21512, 299, 338, 543, 875, 4220, 4096, 593, 5521, 8336, 1646, 936, 942, 543, 5569, 1890, 540, 2825, 7939, 269, 3776, 2079, 8761, 602, 631, 2975, 338, 2049, 10355, 630, 328, 4318, 1421, 606, 6059, 476, 9032, 269, 275, 260, 540, 9382, 5342, 1336, 1100, 631, 2975, 338, 264, 543, 972, 568, 513, 2347, 3668, 540, 3621, 5464, 1239, 585, 3980, 376, 3445, 260, 540, 2518, 5186, 680, 663, 269, 4107, 11932, 267, 540, 519, 476, 1556, 267, 4968, 631, 2975, 338, 267, 476, 7367, 269, 275, 260, 630, 276, 267, 280, 1428, 2665, 282, 476, 6924, 269, 276, 260, 540, 519, 4609, 264, 25295, 519, 21512, 299, 585, 2901, 2627, 1216, 630, 20670, 11862, 310, 264, 610, 21439, 269, 4935, 267, 519, 6211, 8699, 540, 2518, 1216, 2200, 568, 693, 513, 8101, 1981, 269, 21512, 11862, 310, 9765, 1734, 4096, 593, 519, 6952, 618, 2450, 267, 10386, 12512, 267, 543, 10386, 4266, 282, 616, 3648, 2362, 585, 18960, 22831, 5521, 15969, 630, 328, 4318, 1421, 7510, 516, 628, 28281, 5148, 543, 616, 1164, 1256, 538, 2477, 609, 22608, 2825, 6042, 269, 1452, 2164, 2303, 519, 991, 585, 5001, 9283, 547, 1699, 23561, 6042, 543, 6694, 23561, 3498, 2853, 543, 585, 14556, 1881, 1382, 3646, 593, 519, 4527, 543, 2360, 540, 13851, 896, 1483, 8996, 2175, 563, 21900, 617, 18341, 566, 949, 581, 519, 1034, 1271, 17594, 1184, 585, 524, 31525, 30950, 514, 11216, 538, 2627, 1216, 269, 595, 1030, 1794, 22223, 630, 20003, 313, 264, 543, 524, 32397, 777, 597, 514, 630, 290, 17025, 264, 23384, 5631, 1463, 2584, 565, 1736, 630, 339, 263, 16006, 264, 815, 476, 271, 269, 278, 267, 476, 274, 269, 280, 554, 1070, 1247, 524, 31525, 1410, 514, 630, 20003, 311, 264, 543, 524, 32397, 2784, 710, 630, 20003, 291, 264, 941, 5631, 9927, 676, 9940, 2584, 565, 1736, 267, 799, 1282, 519, 1184, 513, 22833, 12365, 622, 10276, 327, 2331, 24277, 1062, 8329, 1034, 547, 519, 2530, 2557, 540, 18435, 311, 267, 18435, 291, 267, 543, 524, 1030, 582, 1314, 830, 630, 6311, 311, 264, 630, 339, 263, 16006, 264, 815, 476, 275, 269, 276, 267, 476, 276, 269, 274, 267, 543, 476, 272, 269, 274, 554, 267, 6606, 1040, 12524, 1239, 6700, 602, 22833, 12365, 622, 8476, 519, 2584, 582, 4920, 4146, 540, 18435, 291, 543, 18435, 311, 538, 2067, 1216, 5054, 269, 1879, 1031, 1927, 267, 12971, 263, 274, 7565, 268, 1070, 670, 4596, 263, 274, 7565, 268, 1070, 543, 667, 6865, 5702, 20533, 519, 2584, 565, 1736, 2623, 538, 519, 808, 532, 1889, 328, 5211, 543, 941, 519, 16999, 21876, 538, 519, 12556, 540, 524, 31525, 30950, 1231, 269, 570, 8016, 543, 676, 335, 20094, 941, 11567, 543, 4857, 269, 6034, 2584, 565, 1736, 3366, 547, 1232, 541, 7901, 2643, 566, 540, 18435, 291, 267, 18435, 311, 267, 543, 595, 17025, 269, 26306, 1152, 630, 7224, 7777, 1436, 264, 540, 782, 524, 31525, 30950, 1231, 729, 4767, 998, 1463, 2584, 565, 1736, 282, 676, 335, 20094, 941, 1336, 547, 581, 1256, 1447, 2584, 565, 629, 850, 543, 811, 6757, 630, 16129, 519, 5843, 1729, 343, 1449, 1040, 18435, 313, 17820, 519, 16999, 8650, 17219, 1310, 1175, 513, 1906, 3108, 267, 799, 949, 581, 7361, 11911, 547, 922, 476, 276, 2173, 14007, 268, 272, 267, 274, 267, 275, 6253, 328, 611, 27927, 1961, 268, 273, 6253, 2723, 4779, 328, 1214, 269, 3509, 31534, 941, 5892, 1634, 547, 10929, 1463, 7943, 2584, 565, 1736, 543, 7004, 538, 2627, 7297, 282, 2705, 267, 519, 5348, 1120, 2065, 2333, 538, 17219, 3361, 676, 713, 15483, 18571, 630, 16129, 14453, 2584, 984, 2988, 20094, 264, 3112, 581, 16053, 543, 11562, 1218, 2104, 1382, 3007, 563, 763, 2584, 617, 18341, 566, 543, 1979, 5328, 7004, 540, 519, 31534, 19984, 665, 12578, 630, 17162, 290, 1070, 911, 24703, 565, 630, 307, 6938, 264, 543, 9006, 331, 2378, 1314, 710, 630, 309, 2894, 1070, 543, 540, 519, 31571, 744, 17393, 332, 14007, 339, 1090, 611, 565, 630, 7495, 307, 264, 543, 744, 17393, 332, 14007, 1597, 331, 2378, 1314, 710, 630, 7495, 309, 264, 538, 519, 12748, 2825, 723, 1044, 11567, 269, 7353, 617, 18341, 566, 6901, 941, 5645, 856, 1210, 513, 5420, 2604, 29666, 17689, 630, 331, 1987, 2218, 6901, 264, 543, 2067, 7943, 630, 7615, 6901, 1040, 667, 18341, 566, 540, 519, 3077, 7135, 4553, 513, 1101, 19195, 15452, 2203, 269, 26162, 540, 1463, 2584, 617, 18341, 566, 630, 2775, 10338, 676, 519, 7135, 3294, 264, 693, 9063, 476, 277, 269, 280, 941, 1360, 1970, 585, 782, 540, 519, 3077, 2555, 5052, 630, 414, 358, 377, 271, 269, 22650, 280, 327, 8987, 272, 264, 1210, 513, 29666, 17689, 543, 2340, 358, 377, 271, 269, 16573, 278, 327, 8987, 272, 264, 1210, 2067, 7943, 1070, 1247, 3928, 540, 9940, 2584, 617, 18341, 566, 630, 323, 18341, 566, 540, 519, 7135, 998, 6337, 31731, 9088, 264, 538, 5757, 1216, 693, 9063, 476, 278, 269, 276, 941, 5111, 476, 6795, 630, 17162, 290, 1070, 476, 276, 630, 307, 6938, 1070, 476, 279, 630, 309, 2894, 1070, 476, 1428, 630, 7495, 307, 264, 543, 476, 1724, 2053, 630, 7495, 309, 264, 2362, 982, 519, 3928, 5833, 689, 519, 6901, 538, 3706, 1905, 675, 1216, 269, 634, 18965, 2584, 617, 18341, 566, 540, 519, 3077, 7135, 538, 2067, 1216, 568, 11911, 5631, 547, 519, 5250, 540, 18038, 2643, 18119, 998, 2584, 12950, 6547, 269, 645, 8438, 630, 332, 17853, 264, 12159, 540, 519, 3077, 7135, 538, 2627, 1216, 814, 1044, 3254, 547, 2049, 693, 1360, 1970, 3928, 630, 414, 358, 377, 271, 269, 1822, 3066, 327, 8987, 272, 26895, 634, 3368, 3734, 2053, 5462, 689, 519, 2361, 6901, 941, 476, 4029, 630, 17162, 290, 1070, 476, 10463, 630, 307, 6938, 1070, 476, 7906, 630, 309, 2894, 1070, 476, 2641, 630, 7495, 307, 264, 543, 476, 1240, 327, 630, 7495, 309, 264, 6236, 782, 2009, 6127, 540, 12159, 585, 519, 3077, 7135, 538, 5757, 1216, 630, 29715, 2584, 617, 18341, 566, 267, 9940, 2584, 617, 18341, 566, 543, 1979, 5328, 12159, 1916, 10403, 2000, 1516, 993, 4141, 321, 2801, 630, 293, 6369, 264, 616, 1761, 23854, 540, 6181, 542, 7578, 538, 12748, 5054, 269, 1717, 267, 519, 26220, 2078, 1063, 1585, 6181, 542, 7578, 543, 993, 4141, 321, 2801, 3788, 15458, 269, 769, 713, 1353, 267, 2627, 1216, 5439, 941, 10356, 689, 1079, 8933, 585, 10442, 26220, 6181, 542, 7578, 269, 2782, 1067, 1216, 2837, 568, 2565, 547, 519, 6228, 540, 6181, 542, 7578, 269, 901, 1267, 5267, 602, 993, 4141, 321, 2801, 949, 581, 5363, 538, 4509, 6181, 542, 7578, 538, 2067, 5054, 1317, 15911, 5210, 1223, 3986, 8934, 4345, 566, 540, 6181, 542, 7578, 538, 993, 4141, 321, 2801, 269, 1284, 1985, 1031, 6375, 558, 8568, 9668, 630, 296, 5960, 264, 547, 2697, 29414, 6181, 542, 7578, 543, 4894, 1034, 1863, 6181, 542, 7578, 1354, 16326, 519, 26220, 3283, 538, 28729, 23353, 993, 4141, 321, 2801, 269, 6181, 542, 7578, 13969, 32166, 729, 9571, 538, 782, 519, 4485, 267, 30260, 602, 519, 19800, 568, 513, 31399, 894, 993, 4141, 321, 2801, 21313, 269, 1635, 4334, 267, 1079, 8078, 622, 993, 4141, 321, 2801, 15495, 267, 6181, 542, 7578, 6438, 993, 4141, 4472, 13596, 630, 17247, 4338, 338, 264, 476, 279, 543, 476, 280, 267, 941, 9571, 1152, 538, 23353, 993, 4141, 321, 2801, 269, 1717, 267, 1896, 4608, 738, 3293, 6181, 542, 7578, 941, 9571, 1152, 538, 519, 29414, 5439, 269, 5221, 519, 4527, 540, 1761, 14747, 267, 12077, 21502, 600, 4141, 9346, 2357, 332, 6134, 529, 267, 3600, 13183, 600, 4141, 9346, 24094, 269, 543, 10878, 1122, 2401, 807, 27615, 828, 328, 267, 729, 9672, 538, 519, 5439, 602, 8659, 29296, 6181, 542, 7578, 267, 4608, 738, 3293, 6181, 542, 7578, 949, 7639, 10446, 540, 993, 4141, 321, 2801, 269, 16332, 558, 8568, 9668, 543, 993, 4141, 321, 2801, 23918, 949, 723, 1201, 22460, 1871, 585, 16326, 26220, 6181, 542, 7578, 538, 2627, 7297, 563, 6624, 1699, 24659, 9781, 3646, 1631, 6451, 2627, 1216, 543, 15780, 585, 5883, 1216, 2200, 2094, 519, 15377, 1063, 15780, 543, 2627, 1216, 991, 513, 2027, 1445, 6236, 519, 4657, 2916, 269, 634, 3310, 540, 15780, 6384, 593, 1216, 543, 1648, 3666, 3334, 568, 11567, 538, 519, 31315, 5211, 19438, 630, 17876, 289, 264, 676, 23993, 519, 24438, 5606, 2830, 1674, 27519, 630, 309, 2975, 264, 543, 17834, 5263, 299, 8582, 3631, 630, 309, 2975, 5336, 293, 264, 585, 519, 1974, 540, 476, 2735, 277, 998, 476, 14225, 273, 269, 589, 476, 275, 269, 275, 260, 2333, 538, 3490, 8928, 543, 513, 476, 1015, 269, 274, 260, 6175, 538, 8445, 8928, 616, 6059, 676, 966, 2975, 5336, 293, 3379, 547, 519, 966, 2975, 2203, 538, 22804, 289, 269, 634, 966, 2975, 5336, 293, 2203, 2982, 1713, 6454, 538, 519, 6908, 6503, 11191, 630, 301, 1662, 4149, 583, 743, 858, 324, 4398, 1496, 10064, 292, 316, 540, 476, 271, 269, 10019, 264, 693, 3751, 10830, 267, 1141, 519, 966, 2975, 2203, 1223, 711, 7001, 519, 1198, 540, 5614, 11166, 538, 519, 6908, 6503, 11191, 630, 10064, 292, 540, 910, 271, 269, 1789, 5148, 2705, 267, 519, 6908, 6503, 9193, 1397, 606, 2949, 13302, 7678, 269, 5565, 2916, 7653, 8204, 11667, 543, 1164, 10237, 894, 16519, 322, 902, 971, 607, 11347, 5834, 11444, 476, 275, 269, 276, 543, 476, 279, 269, 276, 1397, 606, 3328, 2333, 538, 519, 1216, 3349, 6173, 725, 1063, 476, 273, 269, 272, 543, 476, 273, 269, 277, 544, 630, 277, 269, 280, 543, 476, 279, 269, 276, 3952, 264, 998, 519, 1032, 476, 14225, 273, 269, 634, 8901, 3270, 540, 891, 15377, 1397, 513, 2362, 15780, 15038, 540, 476, 1428, 544, 630, 2004, 3952, 264, 538, 519, 19654, 1858, 543, 513, 2539, 15038, 540, 909, 547, 476, 274, 544, 630, 1015, 3952, 264, 538, 519, 25318, 1858, 269, 16340, 569, 267, 713, 1353, 7028, 2164, 540, 3105, 960, 11744, 602, 7471, 4879, 540, 15780, 1606, 16577, 1216, 6087, 8639, 547, 3666, 23028, 267, 22507, 543, 3490, 2095, 2115, 543, 547, 4383, 519, 7297, 515, 1091, 602, 616, 16271, 547, 1480, 12503, 811, 30396, 563, 2171, 6896, 513, 24921, 25703, 4603, 538, 519, 1106, 540, 513, 25135, 14653, 10386, 5859, 547, 2708, 519, 8901, 3892, 540, 9436, 1151, 2373, 267, 12077, 267, 24277, 267, 16139, 1756, 543, 15702, 5214, 9436, 630, 291, 2177, 1070, 538, 4436, 2627, 7297, 269, 769, 1880, 267, 649, 11567, 630, 328, 264, 2436, 24921, 25703, 568, 513, 10257, 10386, 1505, 538, 3289, 14347, 543, 630, 4512, 264, 1018, 519, 2360, 540, 2551, 5860, 267, 3037, 1208, 639, 1543, 543, 27442, 1076, 2244, 941, 593, 4890, 9436, 1151, 1393, 9830, 543, 2627, 1216, 2298, 269, 634, 8579, 9382, 7000, 513, 1713, 9756, 1063, 24277, 543, 27442, 1076, 2244, 630, 271, 269, 5379, 1070, 607, 1134, 607, 3037, 1208, 639, 1543, 630, 271, 269, 4391, 264, 855, 513, 4617, 9756, 609, 2551, 5860, 630, 271, 269, 1321, 1040, 667, 2177, 21374, 941, 4617, 855, 1713, 609, 1208, 639, 1543, 630, 271, 269, 1691, 264, 543, 27442, 1076, 2244, 630, 271, 269, 1724, 1040, 634, 1611, 9295, 540, 667, 2177, 547, 2698, 15702, 9436, 729, 476, 2420, 10065, 27842, 941, 9286, 607, 1216, 2298, 1362, 4083, 610, 1657, 267, 1739, 519, 3864, 4826, 17563, 6034, 633, 585, 24277, 543, 16139, 1756, 630, 7871, 260, 543, 476, 11025, 9077, 6606, 1040, 18844, 1091, 25703, 5828, 856, 547, 581, 513, 3730, 1505, 547, 2708, 519, 8901, 3892, 540, 6908, 1151, 2373, 267, 607, 9645, 5666, 540, 5439, 941, 6394, 609, 26483, 2370, 4674, 563, 307, 13759, 476, 277, 269, 275, 540, 519, 5063, 7550, 12655, 4886, 17644, 630, 16256, 19199, 264, 9388, 609, 519, 5786, 540, 1216, 20317, 269, 1677, 6895, 3356, 2509, 713, 3077, 267, 1079, 10832, 616, 1031, 281, 25824, 1807, 476, 277, 269, 275, 269, 272, 7893, 1216, 946, 4398, 543, 476, 277, 269, 275, 269, 273, 7893, 519, 1377, 540, 1216, 2566, 630, 16703, 1040, 901, 1957, 6663, 547, 2697, 2436, 519, 4867, 6069, 13525, 476, 277, 269, 275, 269, 273, 15109, 519, 1114, 2609, 602, 991, 547, 581 ]

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

[ 3152, 8594, 540, 5563, 563, 5278, 6646, 2427, 2360, 786, 1331, 3819, 5023, 607, 1134, 269, 27276, 7899, 540, 1216, 547, 1832, 707, 5023, 5848, 269, 1809, 2911, 547, 707, 11290, 827, 5312, 3819, 5023, 547, 8207, 519, 10835, 1354, 621, 666, 1291, 547, 29083, 5711, 1072, 563, 290, 4321, 13207, 710, 2598, 4533, 338, 17327, 20904, 454, 288, 3101, 666, 1291, 547, 606, 2799, 1981, 540, 5042, 14524, 1813, 547, 2175, 899, 12110, 610, 12216, 779, 2068, 269, 769, 519, 2680, 540, 5042, 7771, 267, 606, 1367, 1522, 7340, 547, 2347, 1978, 4247, 543, 13467, 269, 1403, 789, 798, 711, 6529, 547, 513, 5812, 5711, 9882, 20786, 267, 789, 1223, 3068, 3978, 4539, 585, 741, 5711, 1072, 563, 2791, 1590, 11453, 707, 4522, 543, 19568, 538, 513, 12905, 6752, 547, 4894, 5739, 15799, 543, 4551, 1354, 789, 10413, 707, 12837, 269, 19227, 267, 707, 18604, 4522, 1223, 3068, 513, 3152, 4960, 540, 8108, 19659, 269, 2659, 11290, 666, 948, 596, 1265, 519, 1318, 693, 25571, 1416, 547, 1832, 707, 12837, 2973, 543, 2635, 607, 596, 2085, 269, 0, 763, 28481, 2086, 328, 540, 5507, 3454, 328, 10256, 2220, 749, 607, 789, 1451, 519, 2749, 781, 10754, 563, 2005, 3884, 1405, 2653, 1373, 513, 5507, 3454, 328, 9920, 269, 1809, 1281, 621, 1689, 707, 2634, 286, 1306, 1134, 607, 9319, 19516, 20379, 543, 546, 617, 3101, 5595, 11546, 14982, 21772, 267, 5507, 9348, 9812, 1590, 1780, 513, 11826, 1449, 1572, 519, 11310, 267, 585, 799, 789, 723, 547, 27655, 519, 11768, 540, 782, 476, 1839, 267, 1822, 2031, 326, 1194, 344, 1790, 24513, 1194, 344, 10754, 1369, 513, 3670, 28902, 8953, 540, 932, 2130, 9061, 267, 538, 519, 8998, 540, 519, 2749, 563, 292, 32642, 7395, 340, 790, 543, 918, 15811, 26741, 27451, 267, 5778, 27023, 1235, 693, 2160, 5441, 5507, 267, 4941, 547, 917, 2436, 782, 713, 1565, 2242, 519, 851, 540, 519, 2634, 602, 9388, 609, 3965, 267, 1572, 519, 28481, 25283, 563, 1103, 513, 3105, 2634, 1606, 4754, 940, 1353, 267, 7395, 340, 790, 543, 1200, 2319, 1185, 4951, 602, 9348, 9812, 723, 3677, 28481, 2086, 328, 982, 1875, 2389, 1314, 328, 10256, 272, 269, 1809, 789, 7318, 519, 10256, 693, 1152, 835, 1448, 538, 942, 269, 898, 1869, 7012, 1406, 2312, 2436, 519, 2866, 5818, 539, 519, 28481, 25283, 2450, 267, 610, 2436, 1004, 609, 3677, 31032, 5991, 5436, 28481, 2086, 328, 1522, 1175, 581, 811, 2693, 547, 1831, 9348, 9812, 563, 2414, 8495, 2417, 267, 7395, 340, 790, 543, 26741, 27451, 1085, 10165, 519, 12058, 540, 30497, 9348, 10256, 1354, 267, 1282, 543, 1310, 741, 2866, 267, 543, 3379, 519, 18767, 609, 519, 10256, 262, 1967, 593, 519, 11310, 273, 269, 1703, 729, 1100, 3017, 538, 28481, 25283, 2450, 1354, 519, 2866, 3323, 269, 1809, 1310, 2866, 267, 1346, 602, 5293, 519, 1449, 1185, 8273, 28481, 2086, 328, 563, 300, 16331, 790, 267, 661, 269, 589, 269, 1696, 620, 269, 28540, 269, 14844, 331, 6298, 269, 2233, 269, 7330, 476, 9032, 267, 476, 275, 4375, 279, 1700, 24496, 274, 630, 1220, 271, 1916, 310, 944, 27451, 267, 918, 269, 1299, 7395, 340, 790, 267, 661, 269, 589, 269, 4354, 337, 269, 22776, 269, 5291, 2517, 11459, 269, 8742, 3820, 270, 1015, 269, 6200, 277, 10768, 6983, 889, 269, 1001, 272, 269, 1556, 269, 26289, 630, 1001, 272, 1916, 16665, 6402, 538, 7186, 3194, 454, 16665, 5007, 6402, 454, 9596, 811, 827, 519, 5767, 2164, 607, 23715, 686, 26357, 538, 513, 9348, 609, 661, 32642, 7395, 340, 790, 585, 513, 10004, 827, 519, 1382, 563, 10666, 713, 2376, 454, 29241, 713, 2376, 454, 29834, 267, 918, 269, 1412, 763, 11310, 262, 14219, 1173, 525, 707, 2634, 269, 7186, 630, 1001, 272, 1040, 4179, 2517, 8742, 3820, 270, 1015, 269, 9818, 279, 14672, 1155, 269, 1001, 272, 269, 31634, 273, 0, 288, 15779, 2634, 5945, 630, 307, 10292, 264, 568, 513, 2564, 2783, 602, 666, 12517, 2800, 519, 2634, 543, 2790, 1599, 269, 15380, 267, 513, 570, 10292, 568, 3361, 676, 513, 29424, 267, 9514, 267, 10880, 267, 795, 27117, 610, 21774, 547, 519, 2212, 267, 799, 1082, 10256, 543, 15915, 7985, 689, 950, 3238, 538, 513, 1286, 8009, 563, 20776, 341, 643, 832, 1419, 7985, 689, 930, 2186, 540, 8628, 9659, 1310, 513, 570, 10292, 269, 3509, 19505, 3674, 666, 581, 14603, 282, 19250, 6340, 267, 972, 616, 5176, 1079, 4627, 19505, 3674, 513, 1554, 602, 5012, 547, 2669, 269, 2961, 10913, 616, 835, 540, 519, 1034, 1455, 3123, 540, 19505, 3674, 563, 307, 289, 3674, 616, 19040, 883, 1614, 2010, 281, 7646, 267, 9793, 543, 4049, 269, 3371, 779, 811, 596, 1058, 917, 912, 3519, 28261, 616, 968, 332, 843, 892, 19505, 3674, 454, 288, 9514, 610, 5734, 547, 519, 2212, 2356, 5012, 547, 513, 6677, 15664, 267, 799, 949, 581, 2808, 513, 630, 7758, 8271, 264, 7646, 570, 10292, 269, 769, 513, 2101, 610, 5634, 1286, 8009, 267, 519, 6408, 949, 5734, 741, 2212, 269, 1280, 1383, 267, 713, 1223, 581, 519, 1267, 540, 519, 9920, 18644, 741, 2212, 593, 519, 23376, 8868, 563, 1607, 3123, 519, 2634, 547, 3731, 1479, 543, 5734, 519, 6418, 6821, 540, 519, 15693, 269, 634, 2634, 949, 1287, 7985, 7063, 543, 5305, 6464, 602, 2014, 519, 6408, 547, 7985, 689, 15353, 267, 10539, 610, 3965, 2530, 543, 949, 1256, 979, 17499, 563, 9556, 4733, 610, 4049, 19505, 3674, 616, 2356, 811, 6654, 454, 9556, 4733, 543, 4049, 19505, 3674, 1419, 2097, 950, 10256, 543, 15915, 3238, 538, 513, 20739, 1188, 5734, 741, 9843, 593, 519, 23376, 8868, 610, 21686, 4580, 2443, 855, 789, 666, 849, 2097, 689, 21774, 16398, 952, 789, 2461, 13351, 676, 10760, 11935, 563, 1103, 930, 2665, 267, 519, 2634, 949, 20015, 1047, 1310, 7092, 513, 2212, 5945, 269, 1879, 519, 2634, 2220, 20635, 267, 621, 666, 2322, 2604, 593, 519, 2634, 267, 4929, 10373, 1928, 585, 519, 6408, 269, 1306, 513, 1267, 267, 519, 2634, 949, 7985, 5160, 610, 1973, 1591, 3441, 2443, 543, 1346, 8697, 2634, 2281, 3112, 5710, 2933, 610, 12115, 269, 634, 6408, 1223, 1020, 7209, 2152, 267, 3965, 2530, 610, 26900, 689, 2634, 11702, 563, 12179, 570, 10292, 267, 2436, 621, 779, 513, 6677, 15664, 610, 1945, 8338, 267, 814, 519, 1761, 585, 15400, 4539, 269, 7861, 15501, 540, 1286, 10913, 723, 547, 581, 3222, 540, 741, 3656, 2924, 543, 519, 20327, 585, 741, 2104, 6051, 865, 602, 789, 666, 11654, 4023, 13180, 585, 741, 9271, 269, 0, 12867, 723, 3144, 547, 519, 6607, 538, 606, 3801, 547, 1451, 827, 1018, 568, 6456, 593, 519, 2666, 538, 30188, 689, 3504, 2904, 534, 12977, 563, 288, 5063, 5342, 5619, 540, 476, 273, 267, 1911, 30026, 12919, 814, 20114, 936, 476, 2568, 267, 1822, 5892, 7164, 3889, 1210, 9149, 291, 2752, 267, 1519, 7164, 26829, 267, 19289, 3889, 267, 31619, 1027, 4610, 267, 4155, 1811, 267, 17872, 6821, 543, 20610, 543, 8075, 10838, 606, 936, 326, 3497, 5251, 454, 763, 5619, 13315, 1896, 2101, 2904, 534, 4609, 267, 1519, 28607, 531, 543, 4432, 2098, 582, 345, 563, 2108, 25444, 568, 7487, 3677, 267, 16437, 518, 4609, 269, 15526, 2223, 7338, 717, 28207, 267, 13930, 7548, 540, 19795, 693, 594, 628, 20403, 5441, 267, 1767, 538, 513, 3948, 269, 968, 2467, 779, 513, 8552, 547, 621, 267, 585, 2386, 267, 855, 602, 779, 513, 8471, 281, 3025, 814, 14406, 11175, 538, 741, 1496, 2181, 2365, 316, 11837, 3034, 2414, 2932, 519, 5619, 267, 519, 3173, 1031, 606, 20987, 2173, 870, 539, 3926, 547, 6494, 513, 3586, 13942, 540, 8955, 1769, 2066, 513, 2220, 987, 540, 14099, 543, 1491, 5730, 7403, 540, 875, 1279, 621, 3217, 519, 19501, 1786, 4461, 547, 25483, 1055, 7252, 269, 634, 7403, 941, 1287, 12261, 883, 1283, 4919, 1239, 563, 763, 8955, 22815, 806, 998, 519, 10545, 10616, 538, 519, 10664, 547, 2594, 519, 2482, 540, 519, 2244, 2630, 609, 6111, 269, 634, 1239, 568, 1287, 17408, 8898, 547, 6882, 856, 4054, 543, 824, 10664, 267, 5356, 606, 796, 16780, 3518, 1229, 2070, 540, 3388, 3116, 593, 519, 2627, 563, 763, 1007, 2029, 786, 5512, 3173, 547, 5619, 795, 2426, 956, 2066, 519, 8608, 269, 769, 519, 1970, 1633, 540, 30188, 267, 519, 10053, 24588, 12042, 619, 824, 2409, 540, 19666, 5619, 543, 5394, 896, 29115, 666, 10703, 531, 519, 3347, 1063, 1634, 3889, 563, 24685, 602, 2186, 540, 1604, 1141, 596, 666, 1406, 1294, 1496, 320, 1906, 3952, 538, 4395, 540, 3054, 3910, 621, 779, 1360, 2182, 547, 4062, 602, 782, 1927, 269, 968, 2791, 723, 713, 2856, 602, 972, 779, 930, 2370, 8631, 593, 519, 15113, 267, 855, 519, 9149, 291, 2752, 13071, 596, 1294, 621, 538, 922, 9103, 1275, 3034, 7021, 326, 3497, 5251, 540, 519, 795, 2426, 956, 540, 7187, 30188, 723, 6870, 1034, 540, 519, 3788, 540, 519, 15609, 945, 2899, 20948, 519, 1858, 1765, 344, 1752, 532, 7444, 547, 2413, 3744, 15691, 547, 1451, 811, 827, 519, 3504, 10340, 1634, 585, 922, 10427, 9246, 30735, 545, 7097, 267, 1148, 267, 6189, 543, 6128, 563, 763, 15609, 10340, 7153, 827, 476, 274, 267, 1822, 1296, 3516, 267, 8757, 922, 8445, 1282, 519, 25839, 11270, 689, 827, 476, 7742, 547, 476, 12010, 5084, 563, 6097, 547, 717, 28207, 267, 519, 9241, 7000, 6694, 2934, 2693, 6462, 519, 1970, 1633, 15609, 2551, 1282, 741, 5553, 540, 10340, 1141, 519, 2551, 9193, 723, 1631, 9450, 689, 513, 1906, 2929, 547, 476, 1015, 3562, 268, 736, 2173, 11669, 563, 9377, 2400, 3889, 849, 2303, 602, 13137, 729, 2484, 811, 11342, 982, 5892, 2219, 563, 763, 6602, 786, 581, 519, 1641, 540, 513, 1007, 2817, 22127, 17245, 13886, 968, 299, 739, 7066, 9778, 540, 519, 15609, 31315, 3751, 892, 602, 786, 6566, 328, 699, 593, 4924, 269, 476, 277, 693, 476, 280, 533, 6230, 269, 634, 17245, 786, 1246, 513, 14844, 10481, 334, 24413, 607, 646, 1726, 802, 2620, 883, 519, 26570, 547, 3343, 856, 513, 18158, 9571, 538, 519, 5619, 269, 634, 5619, 729, 519, 2582, 4102, 2479, 5342, 593, 12379, 334, 26410, 22884, 563, 294, 28207, 6045, 602, 519, 3173, 1131, 1631, 946, 519, 9149, 291, 2752, 4681, 547, 3605, 811, 827, 519, 4473, 267, 8445, 543, 2887, 540, 519, 15609, 10340, 563, 2108, 6546, 779, 519, 4161, 1631, 269, 3767, 649, 723, 865, 1454, 1239, 2223, 717, 28207, 1767, 269, 968, 1692, 798, 649, 6023, 621, 543, 875, 798, 649, 1847, 4464, 609, 621, 888, 14071, 4076, 1869, 3893, 547, 1205, 547, 1346, 4025, 267, 649, 4076, 1869, 3893, 547, 2638, 873, 856, 2223, 646, 3773, 269, 968, 2005, 779, 2352, 547, 6655, 875, 3078, 713, 942, 568, 585, 721, 1848, 0, 28757, 1857, 5624, 616, 4105, 585, 4683, 5054, 543, 957, 607, 32387, 585, 5872, 1063, 1585, 2950, 269, 769, 1840, 547, 5009, 513, 2631, 540, 2146, 543, 5807, 513, 18512, 543, 22205, 1604, 267, 891, 5624, 2709, 513, 3838, 3760, 585, 1514, 267, 2686, 267, 543, 16351, 2238, 269, 5398, 5624, 616, 811, 1713, 982, 2479, 267, 5356, 8323, 689, 519, 14784, 540, 3232, 1272, 1247, 5807, 1514, 3346, 543, 2146, 7589, 607, 4683, 5314, 5170, 547, 3310, 875, 649, 2661, 543, 960, 269, 1717, 267, 2870, 543, 7892, 908, 891, 5624, 666, 581, 4101, 14365, 2293, 602, 1289, 585, 5402, 6236, 513, 2039, 540, 4170, 543, 4690, 267, 10333, 267, 3354, 267, 543, 6940, 563, 11947, 7412, 5244, 267, 1715, 3840, 4975, 454, 2304, 5499, 1383, 540, 606, 4683, 1374, 602, 10905, 2609, 540, 2470, 543, 812, 13402, 3283, 568, 519, 4400, 7412, 5244, 538, 1715, 3840, 4975, 269, 634, 6288, 568, 593, 513, 476, 272, 269, 276, 28902, 17489, 4062, 540, 14460, 11506, 16456, 3950, 602, 2899, 10443, 1657, 24607, 30778, 10754, 269, 634, 6288, 267, 2813, 676, 6276, 4856, 1676, 12197, 15051, 543, 667, 14525, 590, 1723, 325, 573, 1470, 1341, 11412, 325, 549, 267, 20502, 519, 1858, 779, 1686, 1247, 5356, 513, 12560, 10093, 689, 519, 2749, 779, 2534, 2630, 269, 589, 10058, 4999, 540, 3039, 2044, 267, 11247, 267, 543, 4853, 2609, 27537, 621, 563, 763, 6659, 3802, 3118, 267, 799, 3947, 14666, 513, 1114, 2070, 540, 519, 2749, 267, 568, 513, 10058, 4183, 540, 4400, 7412, 5244, 779, 4070, 269, 1677, 1711, 513, 4241, 4334, 1063, 2470, 543, 2872, 267, 519, 1374, 2882, 1312, 6405, 543, 5374, 267, 607, 1134, 607, 2067, 3334, 899, 4054, 267, 21823, 267, 543, 5810, 269, 634, 6288, 779, 1967, 607 ]

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

[ 342, 9780, 19928, 12460, 454, 2252, 596, 2811, 6998, 952, 596, 666, 6467, 1079, 6486, 262, 4025, 267, 1287, 1100, 269, 1411, 666, 1152, 1847, 835, 3556, 693, 513, 942, 563, 1892, 7316, 798, 594, 2322, 519, 2185, 3312, 25985, 888, 1892, 1548, 798, 596, 798, 952, 596, 1810, 1405, 723, 606, 589, 576, 693, 1101, 888, 1892, 1548, 798, 594, 798, 952, 972, 616, 513, 2603, 540, 13292, 538, 519, 18061, 888, 1892, 1548, 1281, 621, 1611, 547, 22120, 519, 6967, 6486, 888, 1892, 1215, 1082, 2053, 666, 596, 2490, 936, 519, 3063, 6486, 2496, 1012, 9669, 692, 1892, 1703, 616, 811, 2010, 540, 3752, 7534, 790, 267, 971, 607, 17015, 543, 2185, 513, 806, 269, 1403, 596, 616, 2348, 8373, 609, 713, 835, 267, 610, 1175, 711, 3478, 883, 621, 267, 2119, 835, 540, 891, 563, 1892, 5457, 602, 547, 3094, 3752, 7534, 790, 267, 513, 1978, 2179, 540, 9939, 568, 3238, 563, 1892, 1403, 596, 991, 948, 610, 1616, 513, 20726, 543, 616, 593, 513, 2780, 267, 2046, 519, 670, 1883, 563, 1892, 11408, 1376, 609, 519, 16064, 952, 596, 1810, 1405, 723, 1022, 513, 806, 538, 707, 1688, 540, 6486, 780, 1012, 9137, 27084, 692, 290, 20975, 281, 3752, 7534, 790, 692, 1103, 824, 4654, 1384, 292, 4944, 320, 10722, 565, 281, 1109, 329, 13610, 620, 1151, 527, 9222, 267, 1109, 5719, 28852, 281, 1109, 2304, 548, 527, 2426, 24166, 3752, 7534, 790, 267, 1109, 2005, 6501, 334, 281, 1109, 294, 328, 665, 732, 513, 3752, 527, 9222, 267, 1109, 21545, 30253, 17845, 338, 281, 1109, 297, 690, 541, 623, 659, 328, 17845, 333, 25556, 267, 1109, 301, 25005, 4133, 281, 1109, 15031, 1466, 838, 601, 523, 267, 1109, 293, 3757, 9809, 9820, 281, 1109, 329, 537, 518, 14193, 1151, 7534, 790, 267, 1109, 18809, 24757, 281, 1109, 27064, 358, 419, 374, 372, 29830, 490, 418, 372, 372, 16043, 493, 267, 1109, 396, 510, 7846, 4736, 4736, 24012, 13953, 281, 1109, 13077, 4736, 4736, 7549, 20977, 9686, 9924, 8563, 28476, 10780, 3522, 4736, 9841, 9326, 4709, 4736, 267, 1109, 289, 1695, 14505, 12868, 281, 1109, 289, 1069, 664, 3752, 7534, 790, 267, 1109, 2633, 373, 18028, 357, 11695, 355, 21005, 281, 1109, 28637, 5936, 487, 2633, 366, 18028, 509, 17775, 2633, 363, 18892, 7162, 500, 17775, 2633, 366, 17775, 23517, 267, 1109, 384, 490, 324, 20795, 339, 2088, 281, 1109, 297, 752, 32162, 5451, 339, 533, 14515, 5451, 985, 692, 12552, 547, 782, 4589, 585, 2870, 513, 2985, 602, 814, 1044, 1224, 476, 272, 267, 279, 3451, 267, 5392, 274, 2053, 269, 0, 258, 476, 14341, 18126, 538, 5195, 692, 1012, 23586, 692, 14341, 18126, 568, 6697, 547, 476, 271, 269, 6021, 273, 271, 3393, 3393, 275, 276, 3393, 3393, 275, 276, 5195, 16804, 272, 6540, 1012, 23586, 4542, 1215, 547, 6460, 476, 14341, 18126, 547, 5195, 2496, 2171, 917, 630, 2421, 4214, 264, 602, 281, 1269, 272, 315, 9507, 346, 11770, 4153, 13627, 476, 271, 269, 1822, 6321, 279, 8687, 11025, 315, 9507, 31551, 850, 10592, 2171, 666, 1305, 909, 513, 8167, 547, 4194, 585, 519, 1297, 540, 5195, 780, 259, 272, 2340, 479, 351, 586, 323, 476, 14341, 2340, 479, 351, 586, 323, 9881, 486, 476, 271, 269, 1822, 6321, 279, 8687, 11025, 2340, 479, 351, 13304, 1535, 2340, 479, 351, 13304, 6911, 3086, 267, 649, 3444, 9062, 547, 4194, 585, 938, 7164, 1269, 343, 259, 1384, 259, 343, 315, 9507, 31551, 850, 4153, 13627, 1422, 2765, 346, 14341, 315, 9507, 346, 11770, 12453, 272, 315, 9507, 346, 11770, 3686, 265, 271, 269, 1822, 6321, 279, 8687, 11025, 315, 9507, 31551, 850, 4153, 1729, 1535, 315, 9507, 31551, 850, 4153, 13627, 476, 271, 269, 6021, 273, 271, 3393, 3393, 275, 279, 2412, 1822, 4905, 315, 9507, 31551, 850, 10592, 6962, 281, 1269, 14341, 2340, 479, 351, 586, 323, 9881, 486, 476, 271, 269, 6021, 273, 271, 3393, 3393, 275, 279, 2412, 1822, 4905, 2340, 479, 351, 13304, 6911, 1012, 23586, 538, 519, 6587, 4287, 692, 763, 11201, 540, 519, 7503, 3815, 568, 602, 476, 272, 13304, 568, 3160, 547, 476, 1015, 269, 279, 5038, 3192, 30019, 279, 5038, 273, 2053, 476, 14341, 18126, 780, 2005, 666, 849, 581, 6829, 607, 281, 476, 14341, 18126, 568, 3160, 547, 4399, 2765, 346, 272, 7346, 9507, 346, 1015, 269, 279, 5038, 3192, 30019, 279, 5038, 273, 22288, 5195, 780, 1012, 20976, 11582, 692, 2304, 16977, 10230, 1267, 1131, 581, 281, 835, 4627, 543, 24239, 26690, 18126, 568, 827, 4642, 1448, 4642, 8370, 5195, 267, 610, 4244, 569, 267, 513, 13304, 568, 827, 4557, 1448, 5216, 2947, 2053, 835, 4627, 543, 24239, 26690, 18126, 780, 1012, 14272, 17084, 692, 314, 272, 316, 634, 8856, 568, 476, 1428, 1713, 9704, 630, 27917, 10117, 9704, 547, 519, 1318, 540, 519, 8918, 1448, 6393, 24342, 949, 2270, 1507, 6959, 1813, 547, 519, 946, 540, 13735, 1448, 12980, 269, 0, 258, 27387, 281, 4635, 519, 24349, 14230, 11532, 547, 6961, 513, 1979, 20287, 692, 272, 269, 12361, 4635, 519, 24349, 14230, 11532, 547, 6961, 513, 1979, 20287, 692, 296, 723, 513, 1966, 1141, 594, 723, 547, 6961, 602, 4399, 12978, 3799, 332, 21174, 12978, 9852, 9385, 12978, 3799, 7751, 1141, 562, 543, 544, 616, 5266, 6305, 543, 4399, 12978, 259, 568, 25586, 781, 9103, 550, 780, 296, 917, 602, 585, 519, 6169, 594, 1590, 1397, 602, 972, 568, 513, 1979, 20287, 1063, 1269, 19282, 259, 543, 1269, 332, 1422, 9392, 562, 259, 543, 594, 993, 2348, 13542, 3257, 602, 269, 7102, 948, 1131, 581, 15874, 780, 273, 269, 20323, 17397, 676, 8783, 8117, 345, 454, 296, 723, 513, 1966, 1141, 594, 723, 547, 6961, 602, 4399, 12978, 3799, 332, 21174, 12978, 9852, 9385, 12978, 3799, 7751, 1141, 562, 543, 544, 616, 5266, 6305, 543, 4399, 12978, 259, 568, 25586, 781, 9103, 550, 780, 296, 917, 602, 585, 519, 6169, 594, 1590, 1397, 602, 972, 568, 513, 1979, 20287, 1063, 1269, 19282, 259, 543, 1269, 332, 1422, 9392, 562, 259, 543, 594, 993, 2348, 13542, 3257, 602, 269, 7102, 948, 1131, 581, 15874, 780, 18693, 20287, 1063, 1269, 19282, 315, 12101, 12101, 267, 663, 315, 12101, 12101, 267, 332, 24585, 562, 259, 11631, 1215, 286, 1548, 616, 891, 1919, 286, 1411, 949, 267, 610, 949, 711, 267, 723, 513, 1979, 20287, 1063, 5036, 281, 1018, 616, 519, 5036, 1934, 2496, 307, 517, 1470, 692, 274, 269, 20323, 17397, 676, 9522, 1470, 454, 1432, 616, 891, 1919, 888, 302, 3591, 267, 20994, 269, 594, 29709, 547, 1331, 602, 544, 543, 562, 616, 1312, 7849, 2338, 780, 2791, 1869, 10093, 1405, 12943, 1250, 2243, 281, 952, 1269, 332, 19885, 259, 616, 2067, 2338, 1287, 1269, 19282, 259, 568, 1586, 513, 2067, 1297, 543, 267, 594, 15475, 267, 1269, 332, 24585, 562, 259, 949, 581, 267, 1586, 267, 513, 2067, 6746, 269, 1411, 666, 267, 540, 1576, 267, 5581, 513, 1360, 19309, 19359, 1063, 519, 1079, 5036, 5627, 1142, 835, 540, 891, 2338, 630, 602, 9364, 581, 4010, 519, 1482, 1305, 952, 1312, 1269, 19282, 20867, 12101, 12101, 267, 332, 24585, 562, 259, 4755, 547, 581, 519, 1360, 1482, 2067, 1297, 264, 865, 1586, 594, 2307, 281, 1018, 19359, 267, 1063, 18040, 2975, 295, 10323, 4811, 267, 616, 596, 6158, 827, 11631, 0, 2004, 274, 5784, 692, 2162, 16534, 476, 279, 3287, 1341, 476, 274, 264, 815, 476, 3607, 692, 1103, 713, 2243, 630, 339, 2586, 689, 513, 1875, 23343, 1529, 1807, 2362, 1377, 23722, 13004, 2250, 1957, 1070, 649, 1616, 547, 1265, 606, 2626, 1109, 343, 284, 2496, 27407, 649, 1616, 547, 4734, 1109, 262, 2421, 3294, 262, 593, 519, 2451, 1688, 2427, 267, 609, 938, 2626, 593, 519, 1318, 269, 3776, 1101, 1900, 568, 547, 1412, 1495, 334, 262, 519, 1109, 517, 519, 3544, 540, 519, 31455, 269, 901, 568, 2944, 676, 1109, 323, 1204, 532, 676, 476, 279, 1109, 517, 1312, 5011, 540, 519, 3830, 269, 1109, 1109, 5475, 12270, 676, 476, 279, 649, 723, 1109, 3287, 266, 274, 6661, 263, 3607, 270, 279, 6393, 10303, 713, 568, 513, 1875, 23343, 1529, 1807, 1957, 267, 596, 949, 1265, 621, 15864, 547, 5173, 1109, 3607, 270, 279, 1109, 514, 5933, 269, 1284, 666, 1294, 1360, 3362, 602, 1312, 1109, 3607, 30548, 1109, 732, 1312, 16883, 676, 476, 273, 269, 901, 2636, 721, 547, 14458, 519, 6824, 547, 1109, 1240, 270, 275, 269, 1109, 3725, 701, 908, 713, 1900, 1586, 3947, 513, 16866, 6824, 1109, 280, 270, 273, 269, 1109, 2005, 568, 1631, 4443, 547, 1294, 602, 1109, 3607, 270, 279, 284, 280, 270, 273, 284, 275, 269, 276, 30548, 865, 1109, 343, 266, 274, 284, 275, 269, 276, 692, 7661, 649, 1412, 1495, 334, 262, 519, 1109, 517, 519, 2451, 1688, 2427, 540, 519, 3830, 676, 1109, 11357, 339, 24219, 476, 274, 1109, 517, 1312, 5011, 540, 519, 3830, 269, 1109, 1607, 3947, 721, 1109, 343, 284, 275, 269, 276, 268, 274, 1109, 810, 1109, 343, 284, 272, 269, 276, 269, 1109, 1607, 568, 519, 3803, 2626, 780, 2005, 568, 4502, 15663, 602, 4352, 649, 723, 8854, 998, 519, 5933, 1900, 8386, 9912, 538, 713, 1383, 267, 519, 2243, 568, 1152, 4502, 476, 274, 7436, 538, 519, 981, 269, 1411, 1058, 2259, 891, 2010, 540, 7223, 9010, 1109, 638, 5465, 971, 602, 596, 616, 2111, 547, 4194, 873, 1109, 3369, 12241, 9306, 707, 25029, 5693, 267, 3833, 3533, 780, 1015, 3275, 3516, 692, 9172, 26833, 676, 22186, 787, 333, 267, 513, 23722, 13174, 20131, 609, 3733, 307, 12460, 692, 1012, 12846, 12758, 286, 5192, 835, 3562, 14633, 948, 689, 513, 13948, 26906, 1641, 11285, 692, 2971, 476, 277, 1704, 590, 18510, 297, 17614, 9501, 4488, 24361, 3041, 4811, 692, 28462, 1789, 1315, 15590, 692, 291, 12801, 281, 19239, 3588, 630, 300, 7539, 264, 910, 2274, 2644, 2160, 692, 20428, 338, 6035, 281, 13043, 338, 267, 3163, 266, 476, 1321, 811, 692, 13043, 338, 454, 16631, 454, 300, 663, 18288, 454, 14549, 10334, 454, 12626, 9085, 454, 12626, 5678, 454, 290, 13511, 454, 269, 20084, 290, 2969, 563, 6261, 5966, 32276, 8894, 14114, 343, 8822, 19369, 8894, 5336, 20510, 3427, 19369, 7042, 2108, 17098, 594, 6415, 966, 1157, 344, 267, 594, 6415, 513, 476, 273, 526, 1032, 5959, 2875, 693, 519, 2160, 540, 2274, 2644, 269, 594, 993, 7874, 543, 3461, 543, 723, 513, 2648, 585, 2257, 267, 13004, 543, 3450, 14325, 28462, 1240, 1315, 15590, 692, 291, 12801, 281, 2296, 630, 289, 659, 3559, 832, 264, 910, 10228, 267, 3223, 1076, 5441, 2160, 692, 20428, 338, 6035, 281, 13043, 338, 267, 5824, 266, 476, 273, 811, 692, 13043, 338, 454, 31142, 454, 12626, 9085, 454, 269, 5085, 2969, 692, 14881, 6415, 4974, 2296, 5678, 543, 9085, 693, 519, 2160, 540, 10228, 267, 543, 666, 20131, 2296, 267, 5824, 543, 13174, 14325, 28462, 2190, 1315, 15590, 692, 291, 12801, 281, 4521, 630, 289, 659, 3559, 832, 264, 910, 2160, 5441, 5507, 2160, 692, 20428, 338, 6035, 281, 13043, 338, 267, 3778, 266, 476, 275, 811, 692, 13043, 338, 454, 14532, 454, 12626, 454, 289, 5735, 454, 11482, 2793, 307, 563, 6261, 5966, 32276, 7042, 2108, 15916, 256, 594, 6415, 513, 11062, 2160, 27587, 2875, 543, 772, 12710, 4521, 10927, 609, 513, 1390, 4308, 540, 23468, 1995, 538, 2296, 267, 13174, 267, 7070, 543, 9980, 8896, 1401, 4461, 14325, 25387, 28998, 281, 585, 1007, 1053, 692, 291, 12801, 281, 13898, 267, 15348, 543, 13188, 630, 289, 659, 3559, 832, 264, 910, 10228, 1325, 30282, 2160, 692, 20428, 338, 6035, 281, 13043, 338, 267, 3778, 266, 476, 276, 811, 692, 13043, 338, 454, 14532, 454, 30025, 543, 15348, 454, 15761, 2105, 5741, 19120, 2305, 454, 12626, 454, 6261, 5966, 32276, 8894, 14114, 343, 8822, 19369, 7042, 2108, 15916, 256, 1109, 3733, 2012, 568, 22186, 787, 333, 543, 594, 723, 5063, 21783, 689, 11831, 2723, 5441, 267, 10228, 609, 513, 4110, 538, 13898, 267, 15348, 543, 13188, 269, 594, 723, 2141, 10150, 1565, 543, 4543, 1866, 547, 1174, 1007, 5396, 269, 17497, 594, 6415, 561, 643, 907, 14325, 2162, 1411, 949, 849, 899, 13718, 2971, 24762, 676, 22186, 787, 333, 692, 1692, 1223, 594, 1544, 513, 890, 823, 540, 10388, 1603, 2496, 24169, 476, 279, 3287, 1341, 476, 274, 264, 815, 476, 3607, 692, 2971, 4033, 23722, 13174, 2055, 692, 1692, 798, 594, 1265, 519, 5072, 543, 543, 10974, 540, 519, 14584, 540, 519, 3113, 586, 815, 476, 273, 343, 317, 273, 1341, 476, 275, 343 ]

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

[ 31437, 1533, 267, 602, 2760, 2731, 1185, 8471, 1852, 630, 716, 1302, 1152, 519, 3312, 772, 7825, 599, 6758, 666, 1118, 513, 5033, 4565, 766, 540, 513, 3409, 547, 2348, 513, 6024, 10504, 4700, 1358, 3838, 16285, 609, 519, 6380, 822, 1749, 543, 519, 28753, 1023, 267, 4352, 519, 8545, 1079, 2760, 10645, 519, 2140, 540, 1608, 13023, 1369, 741, 10665, 563, 3383, 267, 621, 4667, 602, 519, 5354, 540, 519, 1608, 13023, 919, 941, 2965, 519, 5603, 13011, 1727, 657, 2572, 540, 589, 304, 267, 1373, 2901, 26757, 685, 1695, 267, 610, 12683, 2065, 267, 610, 26757, 685, 1695, 10709, 532, 267, 610, 930, 4999, 540, 519, 1657, 269, 1924, 267, 24903, 267, 519, 2806, 21353, 1749, 616, 519, 4998, 585, 744, 13993, 267, 2523, 519, 1259, 646, 8100, 519, 12724, 3547, 543, 670, 6686, 5586, 6686, 16679, 269, 898, 5526, 1018, 589, 304, 568, 2731, 6998, 585, 568, 2901, 519, 5250, 540, 513, 26757, 685, 1695, 25091, 1533, 267, 610, 12499, 5336, 639, 3916, 1102, 18017, 269, 1358, 616, 267, 693, 2547, 267, 8236, 602, 8545, 563, 763, 2856, 540, 519, 1608, 13023, 622, 568, 513, 7242, 269, 3807, 899, 519, 1964, 540, 519, 589, 304, 16786, 267, 621, 814, 1100, 4493, 538, 4641, 607, 649, 917, 621, 269, 0, 2252, 596, 4076, 2760, 6738, 513, 2887, 4677, 267, 596, 616, 7508, 856, 269, 1703, 4667, 547, 581, 865, 1454, 1447, 5521, 543, 2068, 2604, 609, 513, 2887, 4677, 269, 634, 4365, 4667, 547, 581, 513, 3787, 811, 22150, 267, 1932, 267, 1256, 952, 621, 568, 1869, 3905, 950, 649, 1205, 3323, 563, 1607, 3085, 1406, 1611, 519, 2887, 4677, 568, 18174, 6169, 267, 855, 621, 1281, 1611, 602, 1082, 540, 721, 1205, 513, 2034, 4960, 610, 513, 968, 1042, 334, 892, 540, 938, 5614, 7031, 269, 898, 781, 513, 1390, 942, 547, 1332, 1919, 1586, 602, 1705, 1134, 538, 519, 5614, 267, 610, 3801, 7031, 1586, 602, 949, 723, 711, 2944, 607, 1134, 269, 898, 779, 849, 513, 942, 547, 1205, 1919, 2469, 602, 786, 7670, 5793, 538, 519, 4677, 952, 938, 2916, 568, 7646, 2614, 610, 952, 649, 666, 2308, 930, 3063, 4027, 3800, 563, 5522, 13589, 513, 2887, 4677, 3091, 1896, 2640, 543, 5383, 936, 519, 4832, 4677, 269, 3371, 616, 5722, 1434, 4128, 585, 9544, 513, 2887, 4677, 912, 15761, 2105, 3395, 4005, 281, 1635, 9544, 513, 2887, 4677, 267, 596, 666, 8831, 707, 3395, 4005, 543, 3136, 11981, 4195, 1753, 326, 3497, 3132, 1134, 883, 519, 16830, 3275, 269, 898, 2636, 596, 547, 11694, 519, 7607, 540, 707, 4677, 543, 1118, 519, 1034, 540, 707, 3395, 2230, 563, 290, 944, 518, 5210, 281, 12096, 4365, 11148, 547, 581, 16830, 267, 799, 568, 25368, 585, 1978, 7031, 269, 3509, 5388, 267, 971, 607, 21364, 16719, 267, 3597, 5388, 267, 543, 21567, 545, 553, 267, 8853, 538, 16830, 5210, 543, 1419, 6492, 4418, 2678, 950, 6738, 538, 519, 2887, 269, 769, 1360, 3636, 16374, 267, 2887, 568, 513, 1732, 942, 585, 3395, 1919, 899, 14274, 267, 31480, 267, 543, 23601, 269, 630, 8450, 713, 2376, 593, 12866, 5440, 12096, 15867, 1186, 585, 2659, 16323, 994, 293, 1168, 518, 10860, 543, 3676, 281, 12096, 10651, 616, 1419, 1447, 11630, 547, 11641, 28383, 543, 3676, 3379, 547, 5614, 543, 4832, 10651, 269, 3509, 1455, 4677, 10860, 543, 3676, 7771, 607, 519, 4365, 3579, 338, 1524, 267, 4227, 519, 991, 585, 3573, 11641, 2359, 543, 519, 17140, 540, 9561, 7031, 547, 2068, 563, 24965, 1027, 18290, 2604, 281, 1284, 2644, 4043, 547, 581, 1447, 10728, 538, 519, 2887, 267, 1818, 621, 4443, 547, 4383, 873, 269, 2060, 1447, 6735, 689, 18047, 267, 707, 2887, 7031, 723, 513, 1732, 4960, 540, 14762, 543, 6721, 513, 29667, 3814, 7556, 269, 3502, 547, 2446, 267, 621, 781, 4443, 593, 519, 1394, 2336, 299, 1077, 1216, 4170, 281, 15346, 518, 5210, 538, 519, 2887, 1267, 538, 4389, 21381, 543, 2539, 1216, 4170, 585, 2371, 269, 901, 666, 1291, 547, 9806, 538, 1216, 6165, 543, 2569, 519, 991, 585, 7928, 14450, 3379, 547, 519, 28555, 4832, 3275, 563, 27832, 14021, 5826, 281, 12096, 10651, 3622, 2154, 1447, 14021, 5826, 982, 5614, 610, 4832, 10651, 269, 2060, 7646, 518, 5210, 543, 7864, 10860, 543, 3676, 547, 25077, 609, 267, 596, 666, 6108, 1447, 942, 593, 4677, 909, 18141, 1247, 1869, 556, 12686, 519, 12587, 540, 4195, 3132, 563, 3383, 559, 6454, 281, 12096, 10651, 1683, 606, 4316, 547, 2087, 707, 3037, 585, 519, 1739, 1032, 269, 31896, 3382, 7031, 610, 6220, 5214, 2339, 883, 519, 3037, 1282, 519, 2887, 666, 3986, 922, 12680, 267, 2497, 267, 543, 2949, 1072, 267, 4259, 519, 3942, 585, 513, 811, 3811, 4677, 519, 1739, 5614, 563, 4322, 616, 1175, 513, 1906, 540, 519, 1082, 4128, 1946, 9544, 513, 2887, 4677, 666, 581, 14785, 543, 26656, 269, 17949, 519, 16830, 4365, 267, 4603, 609, 1114, 7031, 267, 543, 521, 2948, 519, 4195, 10366, 540, 707, 2887, 7556, 2336, 18794, 1250, 17676, 12096, 12567, 7420, 547, 1205, 2947, 2395, 540, 1900, 8386, 9912, 5528, 593, 4058, 707, 2887, 4677, 910, 689, 7693, 5542, 547, 17501, 621, 782, 538, 2336, 7312, 31541, 538, 519, 12567, 267, 0, 3963, 666, 6091, 538, 12472, 1312, 4228, 543, 4579, 888, 2026, 596, 917, 267, 6091, 538, 1483, 1272, 666, 1152, 4579, 543, 3138, 4923, 909, 267, 855, 711, 8362, 4228, 269, 769, 1931, 547, 581, 2111, 547, 1847, 513, 5642, 538, 1079, 6587, 8846, 267, 972, 2115, 547, 581, 513, 4887, 6292, 609, 1142, 4887, 17444, 538, 519, 6587, 4287, 563, 7712, 596, 2965, 1616, 971, 19915, 27399, 3350, 1034, 540, 519, 942, 267, 594, 4956, 547, 9192, 1312, 6091, 883, 835, 269, 3502, 1152, 798, 596, 1631, 723, 547, 1747, 7864, 6091, 538, 1931, 547, 1450, 585, 2596, 3350, 855, 713, 849, 20427, 4679, 519, 8458, 585, 513, 3811, 11191, 563, 1607, 568, 1317, 519, 811, 6091, 596, 1747, 593, 513, 13442, 267, 519, 811, 2693, 621, 568, 585, 891, 6091, 547, 22599, 1142, 824, 856, 799, 1131, 2014, 519, 13442, 547, 18923, 1847, 693, 782, 269, 1403, 596, 1185, 547, 1747, 4887, 8424, 1472, 1142, 4745, 267, 1287, 519, 1101, 3364, 1142, 13442, 1131, 723, 547, 1451, 1131, 581, 547, 2697, 971, 8424, 543, 1118, 2386, 519, 6091, 1810, 8072, 339, 1312, 4579, 693, 519, 1482, 942, 563, 300, 1120, 532, 513, 4887, 6292, 883, 513, 2582, 4887, 23352, 891, 2152, 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 ]

[ 3942, 540, 741, 1272, 2901, 538, 2417, 2069, 610, 4876, 563, 19968, 5525, 568, 835, 540, 519, 1034, 3486, 6594, 5396, 538, 519, 1158, 267, 1813, 547, 875, 3376, 519, 1641, 568, 269, 1306, 513, 3376, 1641, 538, 519, 1514, 9443, 267, 1870, 2090, 10741, 519, 1353, 2361, 547, 513, 1445, 540, 32258, 971, 607, 2272, 3599, 267, 8804, 267, 13539, 267, 1480, 2200, 2359, 543, 6725, 269, 6355, 5525, 568, 513, 1390, 3903, 585, 4896, 5461, 538, 519, 1158, 540, 16450, 543, 20835, 269, 898, 781, 513, 1390, 1259, 547, 5965, 585, 15400, 1565, 538, 519, 4610, 540, 1870, 543, 2359, 267, 543, 547, 16491, 3054, 609, 519, 917, 24376, 547, 1376, 909, 707, 1378, 1870, 610, 1246, 513, 4876, 538, 8804, 267, 8051, 267, 6725, 610, 2359, 2022, 6280, 269, 3414, 6355, 5525, 23722, 267, 596, 3513, 4497, 609, 519, 1158, 540, 1870, 998, 519, 2796, 540, 1699, 1870, 7835, 543, 1483, 1870, 3871, 269, 1411, 3513, 1451, 875, 2359, 267, 5718, 543, 3375, 6194, 666, 2087, 2773, 538, 6725, 267, 10512, 267, 2883, 543, 1480, 2200, 543, 891, 2127, 607, 782, 3334, 540, 519, 21038, 616, 4988, 538, 3178, 267, 3384, 707, 1620, 543, 17117, 540, 519, 1641, 269, 1411, 3513, 849, 2263, 519, 954, 22366, 2470, 540, 1870, 2238, 543, 875, 789, 1860, 4213, 267, 581, 789, 1804, 610, 1507, 267, 5177, 610, 18368, 1445, 338, 539, 543, 538, 1114, 9922, 971, 607, 3028, 610, 5663, 269, 1411, 3513, 1451, 875, 547, 20272, 8013, 5054, 543, 6990, 282, 2708, 875, 5683, 267, 2825, 543, 6639, 2188, 3310, 3375, 1818, 282, 946, 513, 2039, 540, 11050, 543, 1875, 6709, 656, 5511, 1239, 547, 6218, 7580, 543, 6198, 3681, 282, 1174, 875, 3375, 1500, 1860, 8639, 543, 875, 789, 786, 4431, 269, 1411, 786, 2263, 875, 4213, 957, 607, 3743, 4961, 543, 2285, 1394, 547, 519, 2115, 540, 741, 2199, 2146, 269, 1411, 786, 1451, 875, 547, 18663, 5234, 1210, 513, 2039, 540, 13075, 543, 1875, 15065, 8767, 2409, 269, 1411, 786, 1451, 1018, 2306, 606, 31369, 6205, 543, 875, 547, 1205, 519, 1655, 689, 707, 5234, 269, 1411, 3513, 849, 1020, 707, 2565, 2079, 267, 3375, 6194, 543, 1966, 9010, 1983, 998, 4101, 1543, 543, 2013, 2090, 269, 634, 1702, 543, 1983, 6591, 593, 713, 1576, 666, 581, 3351, 2213, 538, 513, 5458, 2039, 540, 1870, 543, 2359, 4610, 267, 616, 4483, 762, 2066, 1082, 2127, 540, 1353, 543, 22825, 543, 666, 581, 1031, 547, 4383, 707, 2123, 3375, 6194, 267, 4058, 543, 18083, 563, 2171, 2832, 547, 5512, 1053, 547, 1020, 513, 2648, 585, 519, 1641, 543, 606, 1620, 602, 972, 616, 1100, 7182, 547, 741, 2123, 1646, 538, 1620, 519, 6988, 540, 1870, 543, 7311, 741, 6791, 547, 1870, 2013, 2090, 538, 513, 5077, 894, 4390, 563, 5978, 5075, 568, 547, 1683, 2298, 1870, 2069, 547, 16491, 1053, 547, 946, 12438, 1049, 543, 11455, 3206, 543, 5876, 547, 1174, 543, 1689, 519, 1158, 269, 6355, 2090, 814, 2620, 6402, 609, 6128, 267, 6530, 267, 15257, 267, 543, 1374, 543, 2029, 267, 543, 2488, 4030, 883, 1312, 7443, 1818, 543, 711, 585, 7443, 14540, 269, 0, 8448, 2565, 4247, 6849, 7858, 328, 2209, 538, 29903, 1331, 3478, 519, 2530, 543, 3441, 2508, 630, 652, 21521, 693, 30505, 2767, 264, 547, 948, 519, 23698, 5734, 2477, 547, 25580, 2950, 543, 11177, 8134, 543, 3858, 532, 593, 513, 5943, 585, 519, 8303, 15716, 779, 2518, 3804, 593, 9542, 563, 296, 1087, 1132, 602, 616, 2693, 547, 4309, 1454, 3007, 267, 543, 799, 949, 581, 10630, 2066, 1896, 27410, 12535, 267, 1331, 1648, 5912, 543, 1426, 1949, 7004, 269, 1306, 568, 1419, 519, 2013, 267, 5717, 543, 16395, 593, 875, 547, 8804, 519, 2916, 5912, 616, 2693, 547, 1491, 8998, 3942, 563, 296, 928, 638, 1275, 568, 693, 519, 2295, 540, 519, 2339, 454, 4263, 519, 4295, 540, 782, 540, 713, 616, 519, 6927, 540, 3486, 17604, 543, 943, 2084, 856, 540, 642, 6479, 4690, 563, 1789, 260, 540, 519, 2518, 2551, 2729, 538, 2127, 602, 1522, 1831, 796, 4725, 3386, 538, 519, 4947, 5756, 269, 2755, 7092, 519, 1034, 689, 2916, 1689, 267, 789, 12520, 519, 2547, 267, 1317, 621, 568, 910, 3622, 6340, 910, 849, 519, 30529, 851, 540, 519, 1158, 779, 2551, 563, 295, 2788, 540, 519, 30529, 1004, 538, 519, 1158, 616, 3743, 585, 1152, 476, 278, 260, 540, 519, 3327, 12998, 267, 1247, 519, 1283, 476, 1015, 260, 540, 519, 29659, 2043, 616, 3743, 585, 476, 2004, 260, 540, 782, 5434, 267, 2687, 547, 513, 1007, 7621, 325, 600, 9539, 990, 756, 1867, 269, 2201, 1283, 540, 602, 267, 519, 30529, 1004, 2356, 2661, 538, 519, 1034, 7925, 2127, 563, 6097, 547, 10222, 617, 657, 7813, 267, 713, 2115, 547, 581, 12193, 693, 30505, 2764, 269, 898, 568, 827, 943, 2084, 856, 8093, 10173, 267, 513, 6209, 2530, 543, 3441, 2508, 267, 543, 827, 2916, 8804, 563, 288, 14097, 585, 943, 2084, 856, 8093, 10173, 454, 293, 1601, 559, 10173, 1107, 5755, 267, 3282, 543, 3154, 1107, 616, 519, 1292, 10256, 540, 519, 2916, 6433, 269, 8616, 789, 616, 711, 5018, 2899, 538, 519, 8303, 15716, 269, 7736, 532, 1007, 3408, 543, 7269, 543, 943, 2084, 13050, 8093, 4492, 2504, 568, 2565, 936, 519, 1985, 8717, 547, 1832, 519, 1158, 538, 1899, 609, 2518, 2916, 3853, 543, 547, 2057, 21472, 2916, 17522, 269, 3807, 5063, 267, 519, 6167, 7968, 13870, 29361, 7797, 476, 1708, 274, 19230, 602, 8093, 4492, 10868, 4566, 616, 14944, 1456, 519, 1158, 779, 8458, 540, 5870, 938, 2518, 2916, 9072, 269, 901, 2460, 568, 540, 25932, 2956, 693, 713, 795, 15802, 563, 288, 1713, 851, 540, 519, 4357, 5823, 814, 267, 538, 2487, 1296, 267, 8149, 547, 7700, 547, 2916, 17846, 269, 11048, 267, 519, 2962, 3144, 3976, 2484, 3788, 13385, 269, 634, 1158, 779, 476, 2568, 7887, 8492, 723, 29253, 1269, 276, 269, 276, 18265, 883, 519, 8093, 4492, 2872, 2094, 519, 8303, 15716, 267, 2687, 547, 519, 30914, 593, 8693, 24755, 657, 7797, 269, 901, 568, 538, 22880, 4334, 609, 1018, 649, 991, 269, 634, 14063, 1445, 1058, 581, 593, 519, 16122, 4305, 540, 943, 2084, 856, 8093, 4492, 8804, 267, 4481, 19944, 5224, 1489, 585, 1007, 3408, 563, 763, 3646, 540, 6608, 267, 519, 2883, 5823, 543, 4213, 1590, 14556, 1518, 282, 513, 6071, 32410, 568, 13385, 269, 12539, 5777, 267, 7939, 267, 943, 2084, 856, 540, 8093, 4492, 24307, 543, 11413, 666, 3432, 909, 713, 5912, 269, 5015, 267, 10222, 617, 657, 7813, 7125, 585, 6608, 547, 1489, 513, 16155, 11006, 267, 3486, 26187, 559, 23556, 6348, 6261, 1503, 604, 3130, 15521, 543, 12167, 538, 12797, 540, 971, 14097, 693, 519, 30505, 2764, 269, 1284, 3494, 602, 513, 26187, 559, 23556, 6348, 6261, 1503, 604, 3130, 15521, 568, 519, 7508, 3656, 7271, 547, 2673, 519, 7934, 1063, 2121, 4642, 27606, 543, 2965, 8236, 873, 269, 898, 5932, 513, 2312, 13374, 267, 519, 1318, 15314, 543, 513, 1377, 4730, 2361, 585, 4213, 547, 1847, 2476, 689, 8093, 10173, 269, 6936, 1764, 6013, 538, 6405, 3527, 2864, 982, 6071, 19647, 563, 293, 12099, 2877, 585, 17846, 543, 9542, 454, 5415, 982, 538, 3105, 2910, 11679, 267, 519, 16786, 568, 827, 1312, 2916, 17846, 543, 9542, 543, 519, 14104, 2877, 547, 1205, 1919, 2944, 269, 2060, 8375, 2916, 3441, 543, 2810, 4220, 540, 8757, 512, 6235, 2798, 538, 8134, 267, 811, 3007, 547, 9542, 568, 2877, 585, 513, 1175, 5912, 267, 2523, 2094, 891, 4220, 616, 19466, 538, 6932, 2477, 563, 288, 2603, 540, 3854, 568, 2877, 585, 1312, 543, 713, 1590, 2097, 689, 1857, 543, 4357, 2959, 269, 10705, 267, 5717, 616, 827, 519, 14104, 10616, 267, 12719, 602, 17542, 610, 1256, 959, 650, 687, 616, 7508, 269, 1717, 267, 519, 4890, 2048, 326, 777, 685, 607, 4080, 676, 3875, 5359, 568, 513, 535, 1112, 1190, 1297, 281, 621, 568, 513, 4999, 540, 3854, 2469, 519, 4636, 1259, 630, 560, 650, 14104, 540, 8093, 10173, 267, 8093, 4492, 24307, 264, 543, 1394, 13768, 11994, 540, 1981, 543, 7024, 269, 901, 666, 581, 12193, 676, 1732, 7939, 563, 1103, 476, 1220, 280, 519, 5763, 5006, 6082, 8149, 547, 3246, 1269, 1911, 5479, 513, 1032, 540, 2916, 8804, 1489, 547, 3384, 2477, 538, 2916, 17846, 269, 634, 8545, 723, 1279, 1318, 2685, 5360, 7134, 602, 2916, 8804, 568, 1419, 771, 321, 2720, 539, 538, 1932, 2370, 5666, 267, 1932, 7444, 543, 1932, 15490, 569, 563, 4263, 30505, 2764, 267, 14547, 6082, 786, 711, 1152, 581, 4280, 547, 693, 2063, 2743, 519, 1269, 1911, 5479, 513, 1032, 7029, 689, 476, 1220, 280, 269, 1358, 786, 849, 723, 547, 20006, 16395, 593, 513, 1007, 5993, 2916, 8804, 3077, 547, 5372, 630, 663, 2333, 264, 519, 3312, 32410, 267, 799, 789, 723, 16219, 547, 798, 693, 519, 5767, 693, 519, 1439, 540, 476, 1708, 275, 563, 13010, 267, 693, 30505, 2767, 267, 606, 1271, 1267, 729, 519, 5137, 540, 513, 2530, 543, 3441, 2508, 267, 1264, 7757, 676, 513, 1412, 10520, 819, 531, 12233, 262, 585, 10512, 5314, 269, 3117, 7185, 6603, 538, 5437, 476, 1708, 274, 533, 2314, 519, 1259, 585, 30505, 2764, 13170, 267, 855, 2591, 2611, 269, 2549, 15927, 8462, 26251, 3823, 799, 3384, 2477, 602, 616, 5734, 23698, 676, 2916, 1689, 666, 4309, 2883, 1489, 267, 609, 513, 6069, 4199, 14305, 1062, 15877, 1808, 1806, 563, 14946, 539, 6082, 616, 24016, 547, 1291, 538, 14104, 267, 6028, 1866, 547, 3565, 32380, 269, 901, 14207, 267, 513, 1267, 540, 13882, 267, 3226, 609, 519, 2475, 267, 11363, 9316, 1510, 14344, 15668, 610, 13180, 267, 26354, 1543, 542, 609, 3384, 2477, 936, 3140, 5434, 563, 9617, 13289, 11451, 543, 25422, 454, 1432, 568, 1271, 11451, 267, 568, 849, 1271, 538, 3638, 2477, 269, 8693, 4507, 666, 1152, 8011, 952, 789, 616, 8537, 281, 713, 10522, 602, 519, 3915, 540, 2916, 1689, 1058, 581, 3838, 630, 3467, 982, 264, 8449, 936, 519, 2551, 269, 8409, 602, 3542, 1393, 811, 723, 811, 5763, 267, 865, 789, 1058, 2628, 811, 563, 2171, 3112, 11863, 1022, 811, 8488, 593, 713, 269, 634, 3790, 1131, 1831, 1256, 2362, 543, 512, 6235, 2798, 538, 519, 2916, 6433, 786, 581, 6603, 811, 4749, 269, 898, 568, 942, 519, 1158, 23216, 547, 8537, 2962, 267, 1354, 621, 568, 1932, 3735, 269, 0, 14549, 4276, 568, 1759, 593, 2792, 267, 799, 5713, 607, 513, 31026, 527, 585, 519, 5385, 540, 2093, 267, 4664, 267, 543, 1272, 2833, 269, 1280, 1978, 1004, 267, 1498, 267, 713, 8115, 8255, 883, 2042, 267, 543, 519, 4155, 540, 4082, 3587, 2352, 269, 3371, 514, 6013, 519, 1909, 540, 519, 5667, 2426, 12325, 267, 16594, 543, 5678, 26935, 1235, 267, 945, 616, 8149, 547, 4543, 1346, 945, 616, 10010, 547, 5968, 269, 769, 713, 4062, 267, 649, 4983, 519, 1713, 543, 1898, 1909, 602, 891, 4966, 1404, 538, 21528, 1004, 538, 4466, 741, 5639, 563, 763, 4295, 4557, 564, 540, 4633, 25082, 21454, 568, 519, 24235, 602, 21295, 2792, 568, 711, 1152, 606, 19038, 3363, 855, 606, 1898, 1480, 1303, 1856, 618, 269, 15526, 1058, 723, 519, 4960, 547, 5968, 543, 4497, 609, 1866, 267, 1256, 1346, 945, 6560, 609, 4633, 1813, 547, 14715, 10108, 267, 4633, 17244, 267, 1893, 17799, 267, 588, 32211, 267, 610, 2147, 2152, 563, 16449, 513, 4633, 25082, 2619, 6048, 781, 1883, 11645, 568, 519, 6268, 543, 2126, 540, 1004, 609, 2792, 23043, 269, 1452, 16293, 22942, 519, 1880, 7965, 513, 1268, 568, 7231, 609, 676, 513, 3575, 540, 8343, 267, 13387, 20241, 267, 543, 3346, 609, 519, 1367, 543, 741, 14077, 269, 29114, 1819, 2126, 7459, 616, 9112, 593, 1283, 540, 713, 10368, 5650, 563, 11854, 3663, 25082, 2619, 5505, 1683, 25191, 2126, 1036, 6036, 1310, 8159, 519, 2042, 269, 1452, 4566, 616, 2966, 547, 2743, 519, 1808, 4170, 540, 1142, 1268, 267, 2921, 883, 2272, 1919, 899, 2085, 267, 519, 2186, 540, 2792, 3390, 267, 543, 519, 1268, 781, 6859, 269, 589, 1906, 1806, 540, 9354, 4485, 616, 13994, 1637, 5751, 267, 1893, 14242, 2238, 267, 543, 4948, 2792, 6454, 2553, 563, 15900, 6304, 568, 2565, 585, 1453, 269, 16594, 25082, 2619, 5505, 4749, 4308, 609, 1762, 1453, 547, 1521, 4713, 610, 11095, 17799, 602, 949, 29572, 741, 2702, 547, 5968, 269, 7216, 6304, 666, 24390, 519, 2009, 2360, 593, 513, 1126, 781, 1514, 543, 7214, 1646, 538, 1840, 547, 14123, 3811, 2792, 563, 19741, 1893 ]

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

[ 1007, 1761, 568, 966, 7117, 273, 284, 595, 273, 476, 272, 476, 272, 815, 476, 2190, 6398, 476, 1015, 476, 272, 815, 634, 30579, 269, 2991, 519, 2095, 540, 5279, 269, 277, 5038, 6398, 476, 1015, 476, 1015, 1107, 275, 595, 2991, 519, 6467, 568, 1500, 593, 269, 476, 4029, 269, 276, 1547, 7597, 274, 273, 316, 476, 274, 269, 476, 5952, 769, 786, 581, 1482, 780, 336, 815, 546, 272, 546, 273, 476, 4029, 269, 7117, 292, 815, 27002, 966, 11272, 3196, 815, 7117, 292, 815, 546, 7117, 1141, 966, 1107, 15783, 269, 6349, 476, 279, 269, 513, 476, 271, 815, 286, 536, 815, 476, 271, 546, 272, 513, 273, 546, 273, 3371, 7117, 815, 669, 732, 593, 19218, 269, 1535, 273, 284, 513, 5861, 777, 659, 3218, 476, 2641, 269, 6860, 674, 623, 966, 476, 271, 269, 586, 284, 476, 272, 336, 292, 476, 273, 332, 803, 645, 546, 273, 476, 273, 1535, 513, 589, 546, 272, 1141, 586, 1107, 26432, 3845, 4988, 610, 1535, 1107, 21222, 7267, 3845, 4988, 1107, 19461, 6991, 3245, 519, 2016, 1239, 269, 4905, 476, 271, 1547, 476, 271, 269, 815, 589, 7117, 966, 290, 595, 284, 7117, 476, 271, 546, 815, 3722, 476, 271, 476, 271, 589, 7117, 292, 815, 8406, 1627, 31357, 815, 589, 815, 8406, 476, 271, 815, 476, 271, 269, 277, 1547, 1822, 6246, 815, 476, 6246, 631, 309, 476, 1015, 476, 280, 3199, 476, 279, 269, 476, 5952, 476, 1015, 476, 1321, 966, 476, 1911, 815, 476, 271, 269, 2048, 336, 685, 1280, 513, 9901, 9325, 547, 581, 15810, 538, 2427, 547, 10824, 540, 513, 6252, 6676, 19218, 609, 3167, 2361, 661, 269, 6860, 674, 9717, 602, 2527, 540, 9325, 544, 815, 476, 1015, 8406, 932, 1618, 476, 272, 815, 1107, 476, 271, 269, 272, 815, 476, 271, 269, 546, 1107, 9668, 540, 1312, 519, 10824, 269, 6349, 674, 634, 17817, 31887, 595, 815, 476, 273, 634, 9325, 949, 581, 538, 11466, 269, 6860, 815, 476, 271, 269, 2913, 2527, 540, 6475, 815, 932, 1618, 6475, 815, 552, 1284, 917, 269, 4905, 595, 589, 815, 476, 1911, 4699, 476, 273, 2913, 1761, 815, 966, 476, 271, 1547, 7117, 815, 595, 6398, 966, 1141, 595, 815, 4982, 20884, 31887, 540, 519, 2698, 11460, 815, 6398, 966, 273, 513, 476, 271, 476, 271, 546, 272, 1924, 269, 865, 602, 519, 530, 339, 269, 5952, 476, 1015, 966, 815, 476, 1822, 273, 476, 271, 269, 1590, 581, 7059, 676, 519, 3167, 3196, 9117, 909, 20758, 269, 661, 284, 681, 1280, 19218, 589, 1107, 966, 272, 815, 7117, 284, 595, 272, 7117, 323, 476, 272, 607, 513, 476, 273, 595, 476, 271, 476, 272, 966, 284, 7117, 323, 476, 272, 815, 513, 273, 476, 271, 546, 272, 513, 273, 7117, 1547, 476, 2420, 269, 272, 6398, 476, 280, 3199, 476, 271, 1547, 540, 519, 9325, 9117, 1524, 20758, 269, 546, 586, 284, 476, 2641, 16317, 527, 6971, 547, 2147, 538, 519, 2013, 540, 630, 321, 264, 1299, 630, 322, 264, 607, 2048, 321, 685, 666, 849, 581, 2854, 607, 269, 634, 10231, 540, 6475, 513, 634, 10231, 540, 23442, 815, 631, 335, 7117, 30937, 815, 2725, 1107, 3134, 1107, 1535, 7117, 335, 661, 1107, 1107, 1107, 1107, 7117, 324, 552, 1700, 343, 661, 661, 7117, 701, 815, 3284, 476, 272, 19038, 634, 3845, 24964, 676, 23442, 2473, 815, 476, 273, 634, 3845, 24964, 676, 6475, 2560, 263, 273, 264, 3245, 630, 272, 264, 543, 630, 273, 264, 476, 273, 1107, 2473, 815, 476, 273, 7117, 335, 661, 1535, 476, 273, 284, 1535, 3284, 1035, 631, 533, 2560, 263, 272, 264, 476, 272, 320, 524, 512, 273, 476, 272, 320, 1535, 815, 476, 273, 524, 512, 273, 7117, 322, 674, 5062, 476, 280, 269, 543, 18839, 538, 3830, 476, 4029, 269, 649, 1205, 269, 279, 7176, 6398, 476, 1015, 1107, 476, 276, 269, 476, 273, 966, 20660, 476, 273, 815, 3738, 546, 272, 544, 5560, 272, 579, 815, 476, 273, 546, 966, 20660, 546, 272, 544, 263, 546, 272, 552, 476, 273, 476, 272, 270, 273, 546, 272, 815, 476, 272, 476, 273, 630, 323, 476, 272, 552, 966, 546, 3738, 332, 476, 273, 513, 273, 579, 273, 579, 476, 273, 546, 273, 3738, 1341, 1341, 1341, 1341, 1341, 1341, 476, 273, 476, 273, 4699, 476, 2537, 269, 630, 320, 264, 9474, 476, 272, 674, 476, 274, 674, 476, 272, 476, 276, 674, 9474, 476, 274, 476, 273, 674, 476, 277, 674, 476, 273, 476, 277, 476, 272, 674, 476, 274, 674, 1306, 519, 8115, 538, 7059, 972, 568, 1100, 1699, 998, 519, 476, 276, 674, 19218, 1924, 269, 1839, 674, 476, 276, 674, 476, 273, 674, 476, 277, 674, 476, 1839, 269, 9826, 5400, 280, 26297, 476, 1015, 1547, 272, 476, 272, 269, 4510, 280, 1107, 275, 1535, 815, 476, 1015, 269, 9919, 336, 815, 476, 277, 476, 279, 476, 272, 284, 476, 274, 476, 272, 476, 274, 476, 273, 476, 273, 1627, 272, 476, 275, 476, 277, 476, 274, 815, 476, 1321, 476, 279, 476, 4366, 476, 277, 815, 1321, 476, 273, 269, 476, 2190, 5861, 777, 659, 3218, 9747, 661, 815, 7117, 815, 513, 273, 476, 271, 815, 513, 273, 3738, 476, 271, 630, 323, 476, 272, 966, 476, 271, 966, 630, 323, 476, 272, 546, 3738, 476, 273, 513, 273, 546, 476, 273, 15240, 23082, 519, 1239, 538, 519, 1634, 3830, 269, 272, 284, 476, 1015, 476, 272, 269, 278, 1547, 279, 7176, 815, 476, 1015, 476, 275, 1535, 815, 476, 1822, 276, 4510, 280, 476, 272, 269, 4510, 280, 6398, 476, 1015, 1535, 476, 271, 269, 6858, 1107, 275, 815, 476, 1015, 476, 275, 6398, 476, 1015, 476, 276, 269, 630, 320, 264, 1635, 8520, 1505, 3498, 538, 519, 6806, 5547, 13235, 629, 6395, 1107, 1321, 1341, 674, 476, 273, 304, 1627, 272, 476, 271, 476, 273, 476, 273, 815, 293, 2560, 263, 272, 264, 293, 645, 273, 674, 476, 273, 674, 1627, 1627, 476, 275, 674, 630, 304, 1107, 1627, 476, 272, 3738, 5084, 476, 272, 595, 513, 769, 519, 2673, 5547, 13235, 6395, 1627, 1627, 1627, 272, 1107, 1321, 1341, 674, 476, 271, 476, 273, 815, 293, 2560, 263, 273, 264, 476, 275, 3245, 630, 272, 264, 543, 630, 273, 264, 476, 273, 304, 1341, 476, 274, 304, 1656, 476, 274, 304, 1107, 7117, 476, 272, 476, 275, 674, 536, 815, 476, 4366, 2560, 263, 274, 264, 476, 272, 815, 476, 4366, 543, 18946, 1627, 815, 476, 275, 304, 1547, 476, 6858, 476, 1015, 1107, 275, 476, 4029, 476, 2767, 815, 1535, 476, 273, 284, 1535, 5062, 631, 335, 476, 280, 780, 5560, 264, 476, 277, 309, 476, 1321, 966, 513, 476, 2190, 966, 476, 275, 674, 476, 273, 674, 476, 272, 674, 1627, 815, 595, 271, 815, 476, 271, 966, 629, 815, 476, 271, 536, 634, 2121, 1761, 815, 2781, 28446, 1107, 966, 321, 815, 1107, 476, 1015, 269, 865, 519, 1699, 979, 2509, 18688, 689, 22601, 25539, 289, 1482, 607, 519, 1699, 689, 11581, 290, 23813, 269, 634, 2121, 5279, 1627, 815, 476, 271, 966, 815, 595, 634, 1761, 693, 918, 568, 4642, 269, 7117, 476, 272, 476, 4366, 815, 476, 1556, 1627, 966, 629, 815, 674, 476, 272, 476, 275, 284, 476, 275, 630, 321, 264, 513, 476, 273, 674, 476, 4366, 476, 1556, 815, 476, 1556, 476, 1321, 966, 513, 476, 273, 674, 476, 275, 674, 536, 476, 1321, 966, 476, 275, 674, 536, 476, 2190, 966, 476, 2190, 966, 634, 1761, 815, 476, 2190, 1107, 476, 1321, 815, 476, 1321, 15783, 3017, 966, 815, 476, 275, 634, 28446, 1107, 966, 321, 815, 1107, 476, 279, 966, 630, 322, 264, 589, 19382, 476, 273, 309, 645, 513, 9406, 476, 273, 309, 595, 476, 277, 630, 476, 273, 815, 476, 271, 476, 1321, 476, 273, 476, 275, 264, 476, 4366, 815, 476, 279, 966, 476, 273, 674, 674, 536, 661, 476, 273, 674, 667, 3245, 519, 4137, 621, 568, 23498, 602, 519, 2451, 543, 1318, 7936, 616, 15340, 543, 20328, 269, 630, 320, 264, 4880, 815, 476, 278, 1173, 552, 669, 4880, 3692, 328, 16009, 476, 2190, 815, 476, 2190, 476, 278, 476, 2190, 476, 7761, 476, 1015, 269, 279, 1547, 22479, 659, 3218, 476, 273, 304, 1341, 476, 274, 304, 476, 272, 815, 476, 4366, 476, 279, 1627, 476, 272, 1341, 476, 274, 304, 476, 272, 815, 476, 4366, 476, 1556, 304, 476, 1321, 966, 476, 272, 815, 476, 4366, 269, 274, 966, 476, 2918, 269, 274, 966, 476, 274, 270, 279, 476, 272, 674, 476, 274, 674, 476, 275, 674, 476, 1321, 270, 279, 476, 275, 270, 279, 476, 274, 674, 476, 272, 674, 476, 275, 270, 279, 476, 274, 270, 279, 476, 274, 270, 279, 476, 1321, 270, 279, 476, 272, 270, 273, 476, 274, 270, 273, 1635, 5182, 18647, 7503, 476, 274, 815, 476, 2190, 476, 279, 476, 274, 476, 272, 476, 273, 476, 272, 476, 273, 476, 274, 476, 273, 476, 274, 476, 273, 476, 274, 674, 476, 272, 674, 476, 272, 476, 272, 595, 552, 325, 535, 815, 476, 274, 815, 476, 3374, 476, 2190, 476, 279, 476, 280, 815, 3374, 476, 277, 476, 1556, 674, 476, 274, 674, 476, 272, 674, 476, 274, 476, 4029, 780, 22479, 659, 3218, 630, 321, 264, 476, 272, 674, 476, 274, 674, 476, 273, 674, 476, 275, 674, 476, 273, 674, 476, 275, 674, 476, 274, 674, 476, 272, 674, 676, 5182, 18647, 5996, 16428, 476, 274, 1315, 279, 535, 476, 274, 270, 273, 535, 476, 274, 270, 279, 535, 476, 272, 476, 273, 270, 476, 279, 535, 476, 272, 270, 476, 273, 535, 476, 275, 270, 476, 279, 535, 476, 273, 535, 476, 273, 535, 476, 275, 270, 279, 476, 272, 476, 273, 270, 476, 279, 535, 535, 476, 273, 535, 476, 273, 535, 476, 274, 270, 273, 476, 274, 270, 279, 535, 535, 476, 274, 1315, 279, 535, 476, 272, 270, 476, 273, 535, 476, 274, 270, 279, 535, 476, 275, 535, 476, 275, 535, 476, 274, 476, 1626, 815, 476, 279, 815, 476, 275, 476, 279, 476, 279, 476, 274, 270, 476, 279, 535, 476, 274, 476, 1556, 535, 630, 322, 264, 476, 273, 674, 476, 275, 674, 476, 275, 270, 274, 674, 476, 276, 674, 476, 275, 674, 476, 279, 674, 476, 279, 270, 274, 674, 476, 275, 674, 476, 275, 674, 476, 275, 476, 279, 595, 1030, 815, 476, 275, 815, 476, 279, 674, 476, 274, 476, 274, 630, 323, 264, 476, 273, 535, 476, 275, 535, 476, 277, 535, 476, 275, 535, 476, 275, 535, 476, 277, 535, 476, 273, 535, 476, 279, 270, 277, 535, 476, 275, 535, 476, 273, 535, 476, 275, 535, 476, 277, 535, 476, 279, 535, 476, 279, 535, 476, 275, 535, 476, 275, 535, 476, 279, 535, 476, 279, 535, 476, 273, 535, 476, 275, 535, 476, 3953, 1315, 476, 272, 476, 273, 476, 3953, 1315, 476, 272, 476, 273, 535, 535, 476, 279, 270, 277, 535, 476, 274, 476, 3953, 595, 1030, 815, 476, 277, 815, 476, 277, 476, 279, 476, 1321, 476, 4029, 269, 280, 476, 3953, 476, 1321, 476, 279, 476, 1626, 815, 3953, 535, 476, 279, 16317, 22479, 659, 3218, 476, 2767, 269, 972, 786, 581, 30050, 1689, 952, 519, 11460, 568, 2944, 606, 538, 8431, 1107, 476, 273, 266, 290, 595, 284, 595, 476, 272, 595, 552, 336, 815, 595, 476, 273, 630, 273, 1341, 595, 264, 6398, 595, 815, 476, 274, 290, 1341, 476, 273, 595, 476, 273, 476, 273, 290, 476, 273, 476, 273, 595, 1107, 290, 1700, 273, 284, 271, 630, 290, 1107, 273, 264, 630, 290, 1341, 476, 272, 264, 815, 476, 271, 595, 815, 1107, 272, 630, 19808, 6372, 264, 1924, 269, 476, 273, 535, 476, 272, 476, 276, 476, 277, 476, 278, 476, 279, 645, 476, 273, 535, 476, 273, 476, 274, 476, 275, 476, 273, 535, 476, 273, 535, 589, 815, 595, 476, 276, 543, 595, 476, 273, 284, 273, 476, 272, 595, 552, 336, 815, 476, 273, 476, 273, 476, 272, 616, 538, 3126, 901, 568, 6252, 547, 595, 6904, 568, 3126, 547, 595, 6904, 568, 6252, 547, 595, 6904, 568, 3126, 547, 595, 6904, 568, 6252, 547, 595, 901, 568, 3126, 547, 595, 476, 2764, 269, 595, 476, 272, 476, 275, 815, 595, 476, 275, 476, 272, 595, 3973, 595, 543, 476 ]

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

[ 0, 258, 476, 274, 291, 26344, 5852, 692, 288, 4015, 540, 7044, 267, 3435, 267, 2238, 543, 3211, 602, 616, 5078, 585, 23722, 13174, 780, 1692, 547, 4194, 2042, 602, 4125, 476, 274, 291, 5546, 1210, 29890, 543, 519, 19456, 23768, 262, 14497, 2496, 763, 1739, 6516, 3947, 606, 1383, 540, 519, 16879, 540, 513, 1899, 593, 513, 7077, 543, 519, 5086, 1063, 513, 1899, 543, 543, 7077, 269, 2480, 2651, 1524, 519, 2985, 585, 811, 1806, 543, 3137, 593, 1210, 26344, 5852, 543, 519, 19456, 23768, 262, 14497, 547, 4194, 476, 274, 291, 2262, 2042, 780, 294, 17698, 13174, 476, 274, 667, 26344, 5852, 589, 265, 7726, 692, 7078, 912, 5723, 7374, 9128, 294, 568, 513, 4396, 7750, 1355, 563, 320, 264, 4855, 519, 3259, 18688, 454, 321, 264, 12433, 519, 5086, 602, 645, 295, 2306, 609, 519, 7077, 9474, 25539, 780, 29368, 4569, 5525, 281, 476, 274, 291, 26344, 5852, 692, 14300, 1384, 272, 269, 589, 4055, 568, 538, 519, 3337, 540, 513, 7750, 1355, 269, 4706, 6989, 3800, 476, 278, 269, 273, 332, 676, 476, 280, 269, 277, 332, 543, 922, 4463, 568, 476, 274, 269, 276, 332, 563, 320, 264, 12433, 519, 3259, 540, 8028, 454, 321, 264, 12433, 519, 3259, 540, 17985, 454, 322, 264, 12433, 519, 5086, 602, 17985, 2306, 609, 519, 6989, 563, 273, 269, 634, 1318, 18158, 3254, 538, 519, 6516, 814, 513, 4009, 3490, 609, 5011, 540, 3259, 476, 2412, 4699, 269, 634, 4463, 540, 519, 18158, 568, 849, 476, 2412, 4699, 563, 320, 264, 4855, 519, 3259, 540, 28267, 563, 321, 264, 4855, 519, 2450, 540, 5086, 744, 21990, 780, 307, 3419, 517, 5852, 543, 19456, 23768, 538, 476, 274, 291, 25609, 454, 15612, 908, 606, 5086, 1063, 606, 6316, 543, 7077, 538, 513, 476, 274, 291, 3337, 1210, 19456, 23768, 543, 29890, 780, 7078, 912, 2690, 713, 7750, 1355, 5173, 454, 320, 264, 20099, 17985, 454, 321, 264, 24234, 1063, 17985, 543, 519, 7077, 13235, 291, 692, 17951, 548, 1063, 513, 1899, 543, 513, 7077, 692, 274, 291, 26344, 5852, 9046, 454, 763, 5249, 3070, 547, 513, 1614, 8820, 29890, 1966, 563, 288, 3529, 593, 519, 2484, 2427, 540, 513, 5757, 4871, 568, 1031, 547, 3313, 519, 8700, 540, 519, 5757, 609, 519, 948, 540, 513, 1906, 1318, 5086, 12730, 563, 3721, 476, 272, 281, 10576, 519, 1318, 7285, 538, 707, 6516, 563, 3721, 476, 273, 281, 3417, 782, 519, 7403, 538, 707, 6516, 780, 1692, 547, 798, 26344, 5852, 538, 8422, 7516, 888, 274, 291, 4645, 19456, 23768, 7750, 1355, 3487, 476, 272, 692, 7078, 912, 5723, 7374, 9128, 21203, 568, 513, 7750, 1355, 609, 7516, 476, 275, 332, 267, 476, 273, 332, 543, 476, 272, 269, 276, 332, 269, 2473, 568, 519, 30268, 540, 519, 2427, 31246, 269, 4855, 519, 13080, 8028, 267, 17985, 543, 589, 311, 269, 4855, 519, 7285, 717, 3722, 543, 589, 311, 289, 780, 274, 291, 17832, 19456, 23768, 7750, 1355, 851, 476, 273, 780, 274, 291, 17832, 19456, 23768, 7750, 1355, 851, 476, 274, 780, 274, 291, 17832, 19456, 23768, 7750, 1355, 851, 476, 275, 780, 274, 291, 17832, 19456, 23768, 7750, 1355, 851, 476, 276, 780, 2521, 519, 1863, 4569, 3118, 9498, 543, 1966, 24626, 2630, 547, 2259, 1585, 2979, 3584, 269, 8347, 519, 2016, 1806, 267, 610, 1826, 538, 707, 1378, 1966, 543, 2638, 707, 2626, 609, 519, 1900, 8386, 9912, 3137, 269, 0, 258, 8422, 4258, 1087, 10658, 26072, 692, 272, 269, 1635, 589, 12171, 269, 9412, 6202, 269, 6519, 547, 19898, 538, 1079, 7575, 269, 630, 22069, 1903, 616, 2630, 24355, 273, 269, 769, 476, 5908, 277, 6341, 700, 20477, 4280, 281, 14597, 596, 2461, 4730, 6519, 1996, 606, 18545, 945, 779, 2838, 547, 11604, 1169, 1847, 596, 1118, 2443, 952, 596, 1404, 476, 272, 269, 715, 325, 274, 646, 1590, 1404, 476, 272, 269, 2560, 715, 325, 277, 267, 543, 865, 593, 269, 2052, 596, 1374, 513, 3014, 538, 799, 707, 21632, 1847, 4229, 707, 18545, 547, 2638, 22940, 596, 609, 513, 1875, 18029, 2928, 1847, 2496, 274, 269, 1323, 1439, 18524, 1353, 676, 808, 6993, 269, 30683, 269, 968, 19669, 547, 1404, 543, 2721, 519, 3014, 14325, 258, 3683, 515, 731, 692, 288, 11015, 676, 23134, 22301, 3627, 29088, 517, 1230, 3118, 1384, 8310, 3781, 594, 2893, 3297, 1079, 530, 23275, 593, 513, 1668, 267, 543, 23986, 731, 519, 1739, 1384, 288, 281, 594, 723, 513, 2318, 7533, 1297, 540, 1453, 267, 4171, 6502, 616, 2318, 9981, 267, 519, 2040, 540, 799, 568, 519, 1297, 540, 713, 1668, 267, 1247, 519, 1587, 568, 1250, 1378, 2085, 780, 289, 281, 1215, 4277, 256, 12344, 952, 596, 5143, 803, 707, 2085, 543, 519, 1297, 540, 707, 1453, 267, 594, 1223, 960, 856, 741, 1367, 6502, 2496, 288, 281, 3143, 780, 289, 281, 589, 3873, 256, 11083, 700, 17129, 594, 917, 875, 2025, 596, 616, 2439, 22154, 568, 606, 6909, 11015, 2223, 11339, 20037, 1382, 24988, 570, 1415, 320, 10609, 990, 534, 13960, 269, 968, 1607, 568, 849, 606, 896, 1952, 3285, 730, 11015, 269, 898, 568, 811, 4277, 982, 621, 1522, 3100, 269, 1879, 2576, 3045, 25555, 519, 2626, 267, 621, 568, 711, 2312, 2436, 789, 723, 12193, 621, 4625, 14325, 2171, 666, 1376, 676, 2912, 819, 532, 1585, 1668, 2338, 269, 1280, 1383, 267, 519, 1297, 540, 519, 1668, 3112, 723, 1044, 476, 276, 267, 1317, 538, 1142, 2009, 2013, 519, 530, 19123, 779, 2085, 543, 519, 1297, 540, 1010, 1453, 1131, 1287, 19918, 3313, 741, 6502, 2443, 952, 519, 530, 19123, 568, 476, 274, 1296, 2025, 543, 814, 476, 274, 1453, 267, 1287, 741, 6502, 1590, 581, 476, 272, 267, 476, 272, 267, 543, 476, 274, 543, 646, 3112, 723, 1767, 968, 5591, 1848, 1924, 519, 1668, 1297, 3112, 581, 476, 276, 780, 2026, 649, 960, 938, 1259, 883, 2362, 1668, 2338, 713, 22464, 7106, 8986, 267, 855, 621, 779, 8719, 676, 1776, 1966, 2443, 519, 2034, 530, 19123, 1590, 581, 2111, 547, 17429, 576, 519, 1101, 530, 19123, 779, 2085, 5103, 519, 13509, 269, 1280, 1383, 267, 952, 519, 1668, 1297, 568, 476, 2641, 543, 519, 1101, 530, 19123, 6645, 721, 602, 646, 779, 476, 9834, 1296, 2025, 543, 814, 1614, 1453, 267, 1287, 621, 779, 3020, 602, 649, 666, 1406, 960, 856, 519, 1453, 779, 6502, 281, 1358, 1522, 581, 476, 272, 267, 476, 279, 267, 543, 476, 1321, 610, 476, 273, 267, 476, 274, 267, 543, 476, 1626, 269, 1809, 950, 519, 530, 19123, 28279, 721, 540, 713, 267, 649, 666, 1406, 17551, 15112, 11244, 569, 602, 693, 2063, 649, 917, 875, 2025, 646, 568, 267, 1317, 649, 1810, 1406, 2443, 646, 1522, 581, 476, 9834, 267, 855, 646, 1522, 849, 581, 476, 13301, 267, 609, 1453, 9907, 476, 275, 267, 476, 276, 267, 543, 476, 1321, 610, 476, 274, 267, 476, 279, 267, 543, 476, 1015, 269, 1924, 519, 5188, 1657, 3112, 723, 3144, 1747, 780, 3719, 5469, 602, 952, 649, 2333, 519, 1668, 1297, 676, 476, 272, 267, 547, 476, 2420, 267, 1287, 782, 519, 2979, 1657, 786, 1869, 960, 952, 649, 2285, 519, 530, 19123, 606, 3063, 476, 272, 4458, 6040, 1126, 281, 1261, 1522, 1631, 581, 476, 9834, 1296, 2025, 609, 2185, 1453, 6502, 476, 272, 267, 476, 272, 267, 476, 279, 267, 543, 476, 1321, 610, 476, 272, 267, 476, 273, 267, 476, 274, 267, 543, 476, 1626, 282, 610, 646, 1522, 581, 476, 13301, 609, 2185, 1453, 6502, 476, 272, 267, 476, 275, 267, 476, 276, 267, 543, 476, 1321, 610, 476, 272, 267, 476, 274, 267, 476, 279, 267, 543, 476, 1015, 269, 634, 1297, 540, 1453, 4679, 676, 476, 272, 267, 519, 2040, 540, 741, 6502, 4679, 676, 476, 272, 267, 543, 519, 1587, 3788, 519, 1482, 269, 1924, 952, 1668, 1297, 536, 7472, 1079, 2009, 6502, 585, 654, 19123, 589, 267, 1287, 865, 786, 1668, 1297, 536, 1341, 476, 272, 2443, 799, 1797, 602, 649, 1810, 1406, 723, 547, 2638, 1022, 1668, 2338, 3677, 982, 476, 2641, 780, 1607, 7182, 519, 1966, 547, 513, 19242, 2450, 267, 543, 621, 7140, 856, 602, 519, 1668, 1297, 568, 476, 1321, 543, 654, 19123, 589, 568, 476, 4366, 2443, 602, 779, 519, 1152, 2085, 585, 799, 519, 1668, 1297, 543, 519, 1297, 540, 1453, 798, 711, 19918, 3313, 519, 1453, 779, 6502, 630, 16269, 1522, 581, 476, 273, 267, 476, 273, 267, 476, 273, 267, 543, 476, 277, 610, 476, 272, 267, 476, 274, 267, 476, 275, 267, 543, 476, 275, 6393, 24867, 1415, 320, 10609, 990, 534, 13960, 267, 968, 3519, 3118, 779, 654, 23275, 2223, 634, 19556, 2271, 749, 3394, 1356, 267, 5412, 476, 1001, 274, 24355, 10521, 2147, 13410, 281, 589, 30985, 22062, 566, 543, 589, 30985, 16510, 780, 258, 631, 850, 720, 692, 296, 4734, 1250, 4395, 7450, 267, 2196, 593, 513, 1377, 4155, 585, 930, 3845, 267, 1287, 2196, 547, 519, 1283, 540, 513, 14629, 543, 2132, 1753, 676, 519, 1482, 8905, 269, 594, 2196, 476, 279, 18890, 593, 1377, 2666, 267, 476, 277, 18890, 15081, 650, 267, 543, 476, 1321, 18890, 1524, 24824, 269, 1403, 1250, 2698, 7552, 3576, 476, 273, 3108, 267, 875, 2484, 1705, 594, 2196, 2496, 258, 4563, 543, 6519, 692, 3528, 589, 12171, 269, 9412, 6202, 269, 6519, 547, 19898, 538, 1079, 7575, 780, 258, 18391, 5455, 692, 288, 1966, 689, 519, 476, 1220, 271, 18293, 19556, 10493, 328, 611, 1384, 5278, 540, 519, 6486, 538, 513, 16064, 616, 3068, 1524, 543, 930, 616, 3068, 909, 269, 3245, 942, 547, 942, 8891, 324, 14405, 856, 513, 1895, 540, 835, 610, 811, 733, 27631, 6486, 538, 799, 519, 1101, 543, 2063, 616, 1312, 3068, 1524, 269, 1261, 7140, 936, 713, 1895, 607, 513, 1770, 543, 7024, 621, 547, 519, 16064, 538, 519, 2990, 689, 799, 646, 16668, 621, 269, 28171, 602, 5555, 782, 519, 6486, 538, 519, 16064, 786, 581, 3068, 909, 267, 1100, 2339, 875, 8891, 324, 23131, 780, 258, 1548, 2549, 594, 2496, 1103, 476, 8146, 272, 713, 678, 1497, 7902, 538, 513, 3703, 8313, 11331, 14301, 18740, 2480, 1905, 16847, 3143, 269, 476, 1704, 1384, 1103, 519, 544, 1941, 950, 594, 4473, 267, 1315, 594, 1930, 1250, 4064, 267, 1315, 774, 334, 685, 594, 683, 685, 518, 3207, 513, 530, 1074, 782, 3781, 3248, 2252, 594, 12687, 552, 685, 518, 865, 4166, 267, 1315, 594, 1869, 9114, 11489, 29869, 267, 1315, 1656, 2628, 1100, 2543, 547, 519, 1769, 780, 296, 723, 2530, 267, 594, 723, 2744, 267, 1315, 594, 723, 12257, 267, 543, 1928, 282, 1315, 1656, 993, 27052, 609, 1082, 513, 4174, 701, 3248, 2414, 27298, 1250, 530, 4141, 267, 1315, 594, 6633, 3659, 543, 535, 4141, 267, 1315, 1656, 1250, 1256, 902, 594, 1439, 609, 513, 10612, 780, 296, 2951, 13383, 269, 1315, 1656, 683, 685, 518, 4413, 1250, 4155, 267, 1315, 28791, 594, 993, 1558, 676, 513, 24928, 3248, 2252, 596, 2097, 538, 1250, 1259, 267, 1315, 6904, 596, 1360, 1134, 949, 267, 1315, 1411, 786, 2141, 581, 1641, 547, 8594, 780, 296, 993, 669, 4292, 267, 594, 993, 1762, 267, 1315, 594, 993, 561, 755, 344, 267, 543, 2178, 267, 1315, 1656, 1250, 6208, 540, 339, 1689, 538, 513, 1554, 3248, 2414, 5480, 594, 683, 685, 518, 979, 267, 1315, 2549, 1100, 14799, 6862, 581, 879, 267, 1315, 8616, 607, 9808, 559, 543, 9735, 607, 789, 780, 296, 2661, 513, 2110, 942, 267, 1315, 594, 5884, 538, 1250, 6305, 267, 1315, 700, 3512, 539, 676, 782, 945, 4865, 803, 3248, 2252, 594, 1039, 1022, 811, 267, 1315, 1677, 1018, 779, 1767, 1354, 1315, 594, 6557, 12922, 596, 786, 3362, 7058, 803, 780, 2005, 729, 18188, 968, 2690, 6904, 513, 8827, 1772, 22490, 2223, 5310, 2495, 602, 519, 9375, 5128, 1705, 711, 917, 519, 3070, 269, 594, 1589, 646, 949, 723, 1336, 519, 678, 1497, 538, 634, 15248, 779, 18225, 267, 799, 1185, 3370, 621, 26687, 3585, 538, 5181, 476, 9965, 271, 1510, 4758, 519, 2626, 269, 10251, 646, 4667, 547, 723, 1044, 25922, 2443, 519, 14301, 18740, 2480, 1905, 16847, 2760, 9102, 513, 3070, 2901, 780, 288, 2540, 543, 513, 3368, 2663, 267, 538, 476, 2735, 272, 267, 18321, 661, 1188, 2401, 13934, 519, 3988, 540, 6478, 18467, 281, 634, 4750, 540, 1234, 920, 1049, 23008, 2524, 547, 1589, 540, 606, 2626, 267, 5356, 513, 1032, 779, 20478, 547, 519, 4760, 607, 513, 8007, 269, 1879, 1100, 835, 1185 ]

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

[ 563, 763, 1353, 779, 1291, 2278, 267, 3220, 1744, 16336, 4354, 7315, 267, 1767, 519, 2164, 1058, 1118, 1004, 811, 21713, 827, 741, 946, 540, 1928, 26973, 619, 563, 2108, 2690, 4896, 6236, 2921, 891, 2010, 540, 6527, 5781, 267, 621, 568, 19624, 547, 5077, 609, 513, 3782, 3318, 547, 1865, 519, 4220, 543, 2640, 543, 547, 2263, 2436, 972, 616, 8925, 547, 519, 946, 540, 6527, 2223, 513, 268, 1352, 10294, 563, 2467, 616, 930, 7687, 547, 519, 2164, 563, 763, 3173, 16941, 593, 1582, 3146, 19959, 1239, 689, 519, 2021, 538, 519, 1353, 3823, 1312, 13046, 543, 1928, 330, 14525, 946, 267, 865, 972, 616, 1761, 10727, 2152, 538, 519, 1239, 563, 4913, 267, 607, 519, 4589, 7074, 267, 13046, 568, 513, 2783, 602, 666, 1152, 581, 9228, 676, 519, 1367, 267, 865, 789, 1185, 547, 7048, 593, 1582, 3146, 1636, 532, 585, 1239, 4015, 563, 763, 3169, 18262, 540, 1928, 26973, 619, 3144, 829, 1554, 676, 519, 5171, 729, 711, 7074, 538, 519, 1353, 563, 763, 1353, 729, 849, 22423, 267, 2495, 519, 3169, 2014, 540, 519, 16045, 779, 13046, 3112, 581, 5462, 563, 763, 1382, 5205, 1776, 1353, 3370, 538, 519, 4760, 19449, 27218, 267, 799, 1336, 602, 1279, 3856, 946, 540, 1612, 659, 564, 600, 565, 949, 2333, 519, 1981, 540, 2295, 2068, 543, 8482, 538, 1004, 609, 1164, 1973, 2604, 563, 12867, 689, 519, 2160, 540, 25470, 1767, 2550, 945, 723, 513, 1279, 3856, 13310, 585, 519, 1928, 330, 14525, 267, 3335, 1031, 585, 519, 2126, 540, 5312, 1928, 267, 1058, 1904, 585, 519, 9803, 2500, 9570, 585, 519, 13074, 8653, 269, 2009, 2110, 563, 1103, 519, 1353, 267, 476, 8099, 2550, 609, 513, 1686, 540, 1164, 1973, 2604, 941, 11311, 835, 6121, 540, 1612, 659, 564, 600, 565, 2185, 2053, 513, 1554, 1107, 513, 9570, 4122, 11311, 538, 2550, 609, 5312, 1928, 1107, 610, 513, 12805, 21897, 585, 1079, 4374, 269, 2353, 2550, 4607, 1312, 5574, 267, 519, 1931, 1373, 19747, 543, 9420, 539, 563, 10144, 945, 941, 11311, 1612, 659, 564, 600, 565, 4718, 741, 1973, 2604, 4473, 3648, 267, 3379, 547, 1346, 945, 3576, 519, 21897, 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 ]

[ 0, 258, 476, 277, 269, 876, 343, 9046, 5590, 476, 276, 454, 16482, 258, 3487, 476, 273, 910, 23414, 7838, 31064, 692, 16482, 258, 9046, 476, 274, 281, 1234, 15479, 633, 21642, 1234, 951, 531, 454, 16482, 3698, 9258, 21803, 5416, 18360, 2187, 825, 8173, 825, 9717, 513, 5569, 267, 16571, 1947, 7024, 513, 20328, 5299, 540, 519, 5569, 563, 825, 1280, 1383, 267, 952, 519, 5569, 568, 1412, 29582, 3299, 519, 1599, 7024, 1412, 322, 9346, 23823, 825, 634, 1152, 5569, 4238, 596, 616, 4847, 547, 946, 616, 4994, 532, 2676, 825, 14253, 532, 267, 543, 6677, 22760, 566, 563, 8931, 825, 513, 18360, 281, 513, 5569, 454, 825, 7024, 281, 513, 20328, 5569, 454, 825, 8173, 825, 952, 7003, 5416, 18360, 264, 2652, 476, 271, 610, 7003, 5416, 18360, 264, 2652, 476, 272, 912, 1038, 2132, 513, 18360, 454, 825, 3116, 912, 1038, 2132, 513, 18360, 15631, 272, 316, 1341, 9258, 21803, 5416, 18360, 11468, 268, 272, 8079, 8528, 2745, 9258, 21803, 3488, 29582, 10807, 8931, 16482, 258, 9046, 476, 275, 281, 2473, 268, 1014, 454, 16482, 3698, 1535, 318, 1014, 3287, 267, 2262, 2187, 825, 8173, 825, 9717, 513, 5569, 1535, 267, 7024, 6936, 952, 782, 519, 5022, 538, 1535, 616, 454, 825, 8659, 538, 2262, 538, 519, 1482, 1931, 607, 789, 2408, 538, 1535, 780, 825, 21188, 1535, 318, 1014, 3488, 20143, 3299, 1412, 1067, 527, 7100, 5073, 825, 6936, 454, 825, 21188, 1535, 318, 1014, 3488, 20143, 3299, 1412, 1356, 1756, 5073, 825, 8771, 454, 825, 21188, 1535, 318, 1014, 3488, 329, 7897, 3299, 1412, 332, 1695, 329, 784, 5073, 825, 8771, 22562, 825, 1535, 281, 513, 5569, 454, 825, 2262, 281, 513, 5569, 454, 825, 7024, 281, 6936, 952, 2262, 568, 1535, 318, 1014, 267, 8771, 6382, 454, 825, 8173, 825, 952, 7003, 3287, 264, 2652, 476, 271, 912, 1038, 2132, 6936, 454, 825, 8640, 7003, 3287, 264, 2652, 476, 272, 912, 1038, 2132, 1535, 538, 2262, 454, 825, 8640, 1535, 314, 271, 316, 538, 2262, 912, 1038, 2132, 1535, 318, 1014, 3287, 314, 272, 281, 3910, 2262, 314, 5320, 26098, 3287, 314, 271, 8079, 266, 272, 281, 7481, 825, 3116, 912, 1038, 2132, 8771, 8528, 2745, 1535, 318, 1014, 3488, 20143, 3299, 1412, 1067, 527, 7100, 5073, 2745, 1535, 318, 1014, 3488, 20143, 3299, 1412, 1356, 1756, 5073, 2745, 1535, 318, 1014, 3488, 338, 541, 2088, 3299, 1412, 322, 345, 541, 2088, 5073, 2745, 1535, 318, 1014, 3488, 531, 9109, 3299, 1412, 335, 8403, 591, 532, 5073, 2745, 1535, 318, 1014, 3488, 329, 7897, 3299, 1412, 332, 1695, 329, 784, 5073, 2745, 1535, 318, 1014, 3488, 20143, 3299, 1412, 531, 5040, 545, 5073, 16482, 258, 9046, 476, 276, 281, 7392, 23116, 454, 16482, 3698, 7696, 6124, 6050, 29495, 267, 1899, 21920, 2187, 825, 8173, 825, 9717, 1257, 543, 513, 5551, 1899, 3259, 267, 16833, 519, 1257, 607, 513, 1826, 23116, 1131, 563, 825, 23453, 513, 1007, 1467, 1915, 9497, 315, 333, 8442, 1310, 1142, 2262, 602, 10301, 610, 20489, 454, 825, 519, 5551, 1899, 3259, 780, 825, 1257, 281, 513, 5569, 5627, 519, 1257, 547, 16833, 563, 825, 1899, 28747, 281, 519, 1297, 540, 3197, 547, 1331, 593, 513, 1899, 1354, 28277, 454, 1038, 519, 1985, 2262, 563, 825, 7024, 281, 513, 5569, 267, 609, 1007, 1467, 3197, 17332, 14013, 269, 3097, 825, 8173, 825, 1948, 6919, 815, 1257, 21858, 4590, 825, 952, 7003, 29495, 264, 2999, 1899, 21920, 912, 1038, 2132, 1257, 454, 825, 3116, 912, 1038, 952, 1257, 314, 1467, 21920, 316, 2652, 1412, 1412, 912, 2018, 2132, 1257, 11468, 1467, 21920, 1341, 476, 272, 316, 1341, 1412, 315, 333, 262, 1341, 7696, 6124, 6050, 29495, 314, 1467, 21920, 1341, 476, 272, 281, 4940, 331, 29328, 19572, 1899, 21920, 994, 1038, 3116, 912, 2018, 952, 1257, 26098, 3488, 22207, 1899, 21920, 910, 476, 272, 264, 11203, 910, 272, 912, 3546, 2132, 1257, 11468, 3667, 26098, 3488, 22207, 1899, 21920, 910, 476, 272, 13580, 1341, 1412, 315, 333, 262, 1341, 7696, 6124, 6050, 29495, 314, 3667, 26098, 3488, 22207, 1899, 21920, 268, 272, 2567, 4940, 331, 29328, 19572, 1899, 21920, 994, 2018, 3116, 912, 3546, 2132, 1257, 11468, 316, 1948, 266, 1412, 315, 333, 262, 1341, 7696, 6124, 6050, 29495, 11468, 4940, 331, 29328, 19572, 1899, 21920, 2020, 2745, 7696, 6124, 6050, 3488, 305, 24655, 1257, 547, 16833, 1586, 269, 3299, 476, 276, 994, 2745, 454, 2745, 7696, 6124, 6050, 3488, 4407, 594, 2503, 1007, 7214, 9035, 6619, 267, 4986, 786, 5635, 547, 519, 17938, 1791, 566, 540, 519, 1158, 19145, 18517, 602, 649, 3812, 1927, 269, 3299, 476, 1428, 994, 2745, 3097, 2745, 7696, 6124, 6050, 3488, 301, 7795, 268, 7795, 256, 1284, 1577, 3755, 8917, 593, 8292, 543, 4159, 873, 676, 1297, 540, 16018, 269, 15526, 6487, 602, 2306, 621, 7543, 585, 513, 1906, 10770, 9739, 547, 20441, 519, 4901, 269, 3299, 476, 736, 264, 0, 258, 295, 1872, 334, 1477, 258, 1805, 4958, 577, 543, 7420, 11644, 476, 273, 5897, 5897, 11845, 815, 1193, 9272, 2891, 8923, 4283, 513, 4266, 538, 519, 3898, 30250, 270, 12613, 270, 312, 312, 281, 834, 17903, 1485, 815, 4266, 11468, 273, 15947, 24629, 815, 4266, 314, 274, 281, 276, 15947, 20204, 815, 4266, 314, 277, 281, 279, 316, 5897, 604, 3923, 2652, 834, 4905, 257, 6769, 825, 3923, 815, 9497, 20464, 14744, 19197, 3923, 2652, 834, 6349, 257, 6769, 825, 3923, 815, 9497, 21938, 14744, 19197, 3923, 2652, 834, 6734, 257, 6769, 825, 3923, 815, 9497, 18550, 14744, 19197, 3923, 2652, 834, 6860, 257, 6769, 825, 3923, 815, 9497, 19688, 14744, 19197, 3923, 2652, 834, 4962, 257, 6769, 825, 3923, 815, 9497, 9802, 14744, 19197, 3923, 2652, 834, 6187, 257, 6769, 825, 3923, 815, 9497, 18907, 14744, 19197, 3923, 2652, 834, 5881, 257, 6769, 825, 3923, 815, 9497, 20809, 14744, 19197, 3923, 2652, 834, 5400, 257, 6769, 825, 3923, 815, 9497, 20606, 14744, 19197, 3923, 2652, 834, 6021, 257, 6769, 825, 3923, 815, 9497, 20826, 14744, 19197, 3923, 2652, 834, 1015, 257, 6769, 825, 3923, 815, 9497, 19751, 14744, 19197, 3923, 2652, 834, 1556, 257, 6769, 825, 3923, 815, 9497, 21776, 14744, 19197, 3923, 2652, 834, 1321, 257, 6769, 825, 3923, 815, 9497, 20103, 14744, 12828, 6769, 567, 1820, 815, 9497, 1103, 20777, 3923, 257, 10142, 604, 1554, 2652, 834, 4905, 257, 6769, 825, 1554, 815, 834, 272, 560, 29177, 19197, 1554, 2652, 834, 6349, 257, 6769, 825, 1554, 815, 834, 273, 526, 29177, 19197, 1554, 2652, 834, 6734, 257, 6769, 825, 1554, 815, 834, 274, 6113, 29177, 19197, 1554, 2652, 834, 2641, 257, 6769, 825, 1554, 815, 834, 2641, 560, 29177, 19197, 1554, 2652, 834, 2420, 257, 6769, 825, 1554, 815, 834, 2420, 526, 29177, 19197, 1554, 2652, 834, 2537, 257, 6769, 825, 1554, 815, 834, 2537, 6113, 257, 5897, 2745, 2891, 346, 271, 348, 2715, 272, 348, 476, 736, 346, 273, 348, 2668, 8971, 263, 1485, 267, 3923, 267, 1032, 17903, 0, 5228, 4351, 1104, 28219, 842, 7531, 5035, 8950, 32156, 912, 825, 23288, 825, 4147, 4534, 8950, 32156, 454, 1038, 3115, 637, 757, 519, 8950, 6345, 563, 825, 5900, 1026, 2373, 912, 1038, 7183, 454, 825, 10613, 912, 1038, 2824, 7272, 19991, 4534, 2824, 338, 513, 4570, 4062, 547, 1847, 454, 1038, 1118, 8548, 913, 4534, 6920, 519, 8274, 306, 13645, 1843, 547, 1847, 454, 2018, 519, 5697, 4062, 547, 454, 825, 15981, 692, 825, 1219, 2824, 7272, 19991, 4311, 267, 13708, 652, 622, 2187, 1038, 23288, 1038, 6396, 4534, 2824, 7272, 19991, 454, 2018, 901, 1599, 7024, 513, 4570, 2638, 518, 12328, 1843, 602, 519, 454, 3546, 8950, 32156, 786, 1847, 563, 1038, 30352, 912, 2018, 1582, 4534, 519, 1699, 8950, 32156, 1843, 454, 2018, 13708, 652, 622, 4534, 606, 1843, 8204, 519, 1699, 1533, 540, 519, 3014, 454, 1038, 16849, 912, 2018, 589, 2638, 518, 12328, 1843, 5697, 676, 519, 8950, 32156, 547, 1847, 563, 1038, 23288, 1038, 4062, 26000, 21124, 815, 7183, 454, 1038, 4570, 7272, 773, 806, 815, 13708, 652, 622, 10947, 318, 20777, 7272, 773, 806, 4590, 1038, 952, 7003, 263, 20777, 7272, 773, 806, 264, 11203, 476, 271, 912, 2018, 4994, 815, 28219, 842, 263, 271, 267, 7003, 263, 20777, 7272, 773, 806, 9984, 272, 994, 2018, 4062, 26000, 21124, 815, 4570, 7272, 773, 806, 27709, 2639, 1038, 2132, 4062, 26000, 21124, 692, 825, 1219, 1118, 8548, 913, 4311, 267, 2638, 518, 12328, 267, 10945, 2187, 1038, 23288, 1038, 6396, 4534, 1118, 8548, 913, 454, 2018, 16849, 513, 8274, 306, 13645, 1843, 2016, 513, 1808, 6744, 518, 303, 19991, 563, 3546, 634, 8274, 306, 13645, 1843, 4564, 513, 4570, 4087, 454, 3546, 519, 6744, 518, 303, 19991, 1843, 666, 1847, 547, 593, 519, 4604, 563, 1038, 30352, 912, 2018, 1582, 4534, 519, 1699, 8950, 32156, 1843, 454, 2018, 2638, 518, 12328, 4534, 589, 6744, 518, 303, 19991, 1843, 602, 814, 1044, 5697, 454, 3546, 676, 519, 8950, 32156, 563, 2018, 10945, 4534, 589, 1592, 540, 8638, 8204, 519, 1533, 540, 519, 3014, 454, 3546, 4604, 543, 1141, 1142, 1843, 568, 1747, 593, 519, 4604, 454, 1038, 16849, 912, 2018, 589, 8274, 306, 13645, 1843, 10834, 519, 4087, 547, 1141, 454, 3546, 519, 5697, 6744, 518, 303, 19991, 1843, 1058, 1847, 563, 1038, 23288, 1038, 1847, 15220, 7860, 815, 7183, 454, 1038, 1847, 15220, 7860, 815, 2638, 518, 12328, 10947, 7272, 6372, 8548, 7174, 4433, 638, 4100, 994, 1038, 952, 1847, 15220, 7860, 11203, 476, 271, 912, 2018, 4994, 815, 28219, 842, 263, 271, 267, 7003, 9852, 913, 15220, 7860, 9984, 272, 994, 2018, 1847, 26000, 21124, 815, 1847, 15220, 7860, 27709, 2639, 1038, 2132, 1847, 26000, 21124, 454, 0, 258, 256, 1315, 23591, 24800, 19841, 341, 9226, 692, 258, 4855, 519, 6241, 2012, 543, 4737, 1297, 540, 513, 2016, 1305, 540, 2418, 538, 513, 26417, 3758, 563, 16482, 258, 1280, 1383, 267, 952, 649, 723, 513, 26417, 3758, 454, 258, 672, 8745, 267, 476, 6520, 267, 672, 4975, 267, 476, 29485, 454, 258, 672, 13544, 267, 567, 476, 4097, 267, 567, 17638, 267, 825, 476, 14028, 454, 258, 672, 681, 16951, 267, 567, 476, 4029, 267, 825, 16156, 267, 825, 476, 10082, 454, 258, 672, 589, 14508, 267, 567, 476, 1626, 267, 567, 29180, 267, 672, 476, 10037, 454, 258, 825, 15011, 527, 267, 567, 476, 4029, 267, 825, 16156, 267, 825, 476, 15757, 454, 258, 825, 26890, 6511, 267, 567, 476, 10037, 267, 825, 16156, 267, 825, 476, 13893, 454, 258, 476, 32599, 684, 752, 267, 567, 476, 3374, 267, 567, 29180, 267, 825, 476, 13670, 454, 258, 825, 32599, 684, 267, 567, 476, 3374, 267, 476, 2051, 558, 2692, 267, 825, 476, 9340, 454, 16482, 258, 543, 2016, 513, 1305, 540, 2418, 1496, 4029, 267, 476, 10037, 267, 1412, 309, 324, 6511, 11172, 649, 1616, 547, 3977, 454, 16482, 258, 4737, 267, 897, 267, 1871, 454, 258, 476, 277, 267, 476, 8745, 267, 26890, 6511, 454, 258, 476, 274, 267, 567, 6520, 267, 825, 476, 4029, 454, 258, 476, 276, 267, 567, 6520, 267, 825, 476, 4029, 454, 258, 476, 277, 267, 567, 6520, 267, 825, 476, 10037, 454, 258, 476, 275, 267, 29485, 267, 825, 476, 10037, 692, 5814, 21795, 607, 19073, 454, 5814, 11885, 607, 5286, 454, 5814, 2415, 27785, 454, 5814, 19523, 7531, 3698, 1612, 572, 318, 1173, 3701, 10031, 825, 16163, 518, 815, 2415, 27785, 269, 26855, 2163, 303, 32242, 18692, 1038, 6609, 8782, 8340, 519, 6241, 2012, 543, 4737, 1297, 540, 513, 2016, 1305, 540, 2418, 538, 513, 26417, 3758, 269, 5073, 825, 16163, 518, 14491, 318, 30348, 3488, 12803, 12173, 3299, 2962, 8782, 32697, 3299, 948, 8782, 4067, 540, 519, 1239, 3758, 5073, 825, 16163, 518, 14491, 318, 30348, 3488, 11161, 3299, 562, 16911, 8782, 266, 3299, 948, 8782, 7407, 4433, 264, 547, 3406, 269, 9484, 541, 730, 676, 5624, 5073, 825, 16163, 518, 14491, 318, 30348, 3488, 268, 341, 3299, 1412, 734, 14620, 846, 3299, 2962, 8782, 32697, 4671, 4902, 3299, 9949, 25716, 267, 3186, 8782, 14620, 846, 22779, 13376, 948, 8782, 19651, 3181, 1872, 3977, 17210, 825, 26571, 815, 16163, 518, 269, 27785, 318, 16911, 4590, 825, 952, 26571, 269, 14620, 846, 912, 1038, 585, 1883, 267, 1871, 538, 26571, 11519, 1326, 17624, 342, 16911, 10031, 2018, 952, 1871, 568, 711, 7183, 912, 3546, 1820, 31107, 267, 1871, 994, 825, 2132, 26571, 7531, 3698, 1205, 22674, 318, 4900, 29254, 267, 2418, 2187, 825, 887, 1233, 636, 815, 1412, 3497, 636, 271, 7055 ]

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

[ 2164, 269, 1452, 2645, 666, 11126, 740, 13389, 267, 6578, 14305, 267, 543, 20261, 547, 11694, 5859, 7145, 543, 2132, 593, 5092, 269, 3642, 10276, 12574, 5859, 11938, 16877, 2344, 619, 547, 1118, 5483, 3664, 267, 2087, 5859, 21614, 296, 267, 543, 5397, 1870, 2208, 563, 12892, 9012, 5811, 454, 9590, 14617, 1514, 2923, 2079, 2645, 723, 19117, 519, 6725, 543, 10229, 2872, 676, 3246, 29829, 4030, 543, 3678, 908, 1514, 2923, 2359, 269, 1452, 2645, 666, 5659, 1514, 2923, 1239, 267, 1519, 19528, 267, 18941, 267, 543, 6278, 267, 547, 2697, 3466, 267, 2268, 5859, 1967, 267, 543, 6895, 6216, 10639, 269, 3642, 6620, 666, 849, 25117, 1514, 2923, 20319, 267, 1543, 13629, 267, 543, 3210, 2359, 269, 1635, 16107, 3642, 585, 1514, 2923, 2079, 267, 2344, 619, 666, 11126, 1514, 2923, 2994, 267, 2087, 6216, 8226, 267, 543, 3986, 6075, 6278, 563, 21328, 543, 7780, 1988, 12752, 454, 9590, 4066, 723, 9927, 7470, 11938, 538, 519, 1648, 543, 20848, 2872, 676, 5355, 1648, 6771, 543, 3892, 4398, 269, 3642, 14617, 7470, 11938, 1949, 666, 5659, 1483, 6066, 1239, 689, 8596, 267, 4365, 23004, 267, 543, 3747, 3270, 547, 3666, 1648, 3761, 543, 3747, 811, 3927, 269, 1452, 1949, 666, 11126, 7470, 4238, 267, 2569, 1648, 9271, 267, 543, 3986, 7470, 6617, 269, 25373, 11938, 609, 3642, 6087, 1648, 7426, 547, 2087, 6075, 3028, 267, 2569, 3790, 267, 543, 1489, 519, 5610, 540, 7791, 1648, 2959, 563, 303, 9438, 633, 20904, 585, 24486, 454, 9590, 14617, 16762, 5826, 1949, 616, 13321, 519, 1648, 543, 20848, 2872, 676, 7175, 14942, 5826, 540, 2565, 5989, 269, 1452, 1949, 5659, 9300, 1239, 267, 3937, 2773, 14573, 267, 543, 3140, 5826, 5638, 547, 3589, 1761, 14286, 543, 5826, 2115, 269, 1635, 16326, 2152, 538, 4434, 267, 1648, 543, 20848, 3549, 666, 8430, 5826, 2238, 7561, 267, 7413, 29987, 267, 543, 11126, 519, 14438, 540, 5989, 7221, 269, 21023, 633, 5826, 1949, 948, 3986, 10727, 267, 2569, 5826, 3790, 267, 543, 2087, 2949, 10512, 4398, 563, 21328, 24637, 5983, 26511, 454, 9590, 14617, 1648, 3747, 20925, 1949, 723, 19117, 519, 1648, 543, 20848, 2872, 676, 8308, 17782, 1648, 4616, 543, 17306, 1648, 2504, 543, 3892, 269, 1452, 1949, 5659, 3140, 1648, 4616, 1239, 267, 4365, 23004, 267, 543, 824, 4143, 2188, 547, 9472, 2104, 1648, 3747, 269, 1635, 1818, 4977, 11236, 267, 1648, 7426, 666, 11126, 1648, 5108, 267, 2057, 2504, 22907, 610, 1147, 680, 4926, 267, 543, 2569, 3790, 269, 6052, 3747, 20925, 6087, 1648, 3549, 547, 3986, 10512, 4398, 267, 2569, 13829, 593, 8093, 10173, 267, 543, 1489, 519, 5610, 540, 7791, 1648, 2959, 563, 27319, 5450, 1359, 543, 16424, 454, 27319, 1558, 1359, 543, 5464, 1949, 267, 13324, 676, 3642, 267, 5512, 4359, 1648, 9477, 543, 4616, 2079, 269, 1452, 1949, 8415, 5100, 7397, 543, 8596, 547, 2445, 1483, 6066, 1648, 4616, 1239, 689, 1367, 10820, 543, 5010, 5656, 269, 3642, 6620, 1287, 5659, 713, 1239, 547, 2697, 3270, 267, 3713, 22114, 267, 543, 1683, 4030, 593, 1648, 6165, 269, 12829, 1558, 1359, 543, 5464, 7668, 1648, 6800, 547, 1118, 5483, 3664, 827, 741, 1648, 4616, 267, 7175, 1648, 5726, 543, 1942, 9806, 563, 30262, 1168, 762, 6052, 5004, 454, 9590, 4066, 616, 30507, 7791, 1648, 2359, 676, 17306, 519, 5610, 543, 13345, 540, 7791, 1648, 2959, 269, 3642, 14617, 7791, 1648, 2359, 1949, 5659, 4365, 23004, 267, 1648, 3747, 3270, 267, 543, 1648, 5108, 19206, 547, 11126, 7791, 1648, 2504, 543, 3892, 269, 1452, 1949, 666, 11126, 519, 20319, 540, 7791, 1648, 2959, 267, 9472, 1648, 5108, 267, 543, 3589, 1648, 4859, 4170, 269, 1635, 16107, 3642, 585, 7791, 1648, 2359, 267, 1648, 7426, 666, 3986, 519, 10727, 543, 4398, 540, 7791, 1648, 1949, 267, 2569, 16126, 593, 8093, 10173, 267, 543, 3565, 547, 513, 22928, 543, 811, 4264, 2104, 563, 9590, 4066, 723, 19117, 8856, 8105, 676, 7175, 1239, 12454, 3375, 6194, 543, 5730, 6694, 2853, 269, 3642, 14617, 8856, 8105, 1949, 666, 5659, 1239, 689, 1585, 2959, 267, 1519, 9682, 11052, 267, 4365, 23004, 267, 543, 7693, 8596, 267, 547, 11126, 8105, 2238, 269, 1452, 1949, 666, 1683, 1483, 6066, 4030, 593, 3037, 2175, 267, 12555, 2115, 267, 11641, 2359, 267, 543, 7693, 1072, 269, 30059, 8105, 6087, 6705, 547, 2569, 4199, 729, 5653, 267, 11126, 7693, 11729, 267, 543, 2087, 2949, 6694, 6940, 563, 290, 1886, 8376, 24544, 454, 9590, 14617, 7693, 2068, 7020, 1949, 723, 9927, 519, 6683, 2872, 676, 5355, 2038, 7020, 543, 2126, 540, 7693, 3676, 269, 1452, 1949, 666, 5659, 2592, 540, 7031, 543, 10664, 267, 1210, 3642, 6620, 547, 2697, 2068, 2589, 267, 971, 607, 32396, 610, 22636, 269, 1635, 16326, 3676, 538, 741, 2038, 5933, 267, 6705, 666, 2936, 3617, 2126, 3800, 267, 2061, 2417, 3262, 267, 543, 7413, 7693, 9271, 269, 30495, 2068, 7020, 1949, 948, 6705, 3986, 7693, 1072, 267, 2333, 7607, 267, 543, 2569, 519, 991, 585, 13851, 563, 9590, 14617, 13184, 5464, 1949, 3986, 3662, 10304, 543, 2087, 3484, 2359, 2853, 538, 519, 6683, 2872, 269, 1452, 1949, 666, 6895, 3662, 2623, 267, 1072, 6724, 267, 543, 2825, 2175, 547, 2697, 4191, 540, 11605, 267, 4576, 267, 610, 22114, 269, 1635, 11179, 5464, 13184, 1072, 543, 2773, 267, 6705, 666, 1491, 12905, 2962, 267, 1683, 10531, 1416, 267, 543, 11126, 9960, 543, 2359, 2853, 269, 700, 12083, 5464, 1949, 2087, 3484, 4398, 267, 2327, 3662, 10304, 267, 543, 3565, 547, 4264, 3662, 8105, 2853, 563, 21659, 18352, 543, 667, 14772, 538, 11982, 454, 9590, 14617, 17562, 543, 19025, 616, 13321, 6683, 676, 3678, 908, 1585, 8105, 4247, 543, 7393, 7607, 269, 3642, 10276, 12574, 11608, 666, 1685, 513, 2039, 540, 6694, 4247, 267, 1519, 9544, 267, 16276, 267, 543, 18290, 1852, 267, 609, 8856, 543, 4398, 269, 667, 14772, 9280, 609, 3642, 6620, 543, 8596, 666, 7001, 19666, 11052, 267, 6895, 7693, 1072, 267, 543, 3713, 1761, 2152, 269, 1635, 16107, 17562, 543, 19025, 538, 6683, 267, 6705, 666, 2569, 8261, 4074, 267, 2333, 11729, 267, 543, 11126, 4199, 13345, 563, 27319, 7054, 3419, 566, 7010, 454, 9590, 14617, 5100, 12555, 1949, 723, 19117, 1216, 2359, 538, 6683, 676, 17306, 12555, 2853, 543, 10893, 1216, 729, 5653, 269, 1452, 1949, 8415, 3642, 6620, 547, 5659, 1239, 689, 4365, 23004, 267, 3037, 7509, 8596, 267, 543, 7693, 1216, 4170, 547, 8850, 4188, 12555, 16131, 543, 11126, 1216, 6165, 269, 12829, 12555, 1949, 948, 6705, 4688, 1216, 267, 2569, 3790, 267, 543, 2327, 6099, 7693, 2208, 269, 1635, 5355, 1216, 4398, 267, 891, 1949, 3565, 547, 4264, 6683, 543, 2825, 5726, 563, 9590, 4066, 616, 30507, 519, 6283, 2872, 609, 519, 1646, 540, 14628, 6472, 269, 3642, 14617, 14628, 6472, 946, 4359, 8596, 267, 12514, 267, 543, 3642, 6620, 547, 13498, 741, 10450, 267, 1118, 3664, 267, 543, 6330, 1510, 1480, 6304, 269, 32534, 6472, 723, 519, 1761, 547, 2087, 4155, 3106, 267, 2569, 6808, 20316, 267, 543, 3986, 6283, 4398, 269, 2060, 3642, 267, 14628, 6472, 666, 11179, 1451, 689, 1483, 8996, 6117, 1239, 267, 1818, 873, 811, 10995, 267, 6325, 267, 543, 5827, 563, 9590, 14617, 6808, 2359, 1949, 723, 9927, 6283, 676, 17306, 6808, 2095, 267, 4227, 20316, 267, 543, 5355, 2949, 6283, 4398, 269, 1452, 1949, 946, 1483, 6066, 1239, 689, 8596, 267, 12514, 267, 543, 4448, 6472, 547, 5659, 6808, 3270, 543, 4188, 6808, 5365, 4626, 902, 9935, 269, 3642, 6620, 666, 11126, 6808, 5365, 11558, 267, 3713, 13685, 267, 543, 1683, 1483, 6066, 6808, 10311, 547, 10256, 269, 1635, 16107, 3642, 585, 6808, 2359, 267, 4872, 543, 6283, 8041, 666, 3986, 10688, 267, 2569, 2951, 2053, 267, 543, 2087, 2949, 6283, 5989, 563, 303, 9438, 633, 20904, 585, 30863, 454, 9590, 14617, 16762, 5826, 1949, 616, 13321, 519, 6283, 2872, 676, 7175, 14942, 5826, 540, 6472, 543, 4227, 2736, 23957, 269, 1452, 1949, 5659, 9300, 1239, 267, 6174, 2773, 14573, 267, 543, 3140, 5826, 5638, 547, 3589, 1761, 14286, 543, 5826, 2115, 269, 1635, 16326, 2152, 538, 4434, 267, 6283, 3549, 666, 8430, 5826, 2238, 7561, 267, 7413, 6174, 29987, 267, 543, 11126, 519, 14438, 540, 6472, 269, 21023, 633, 5826, 1949, 948, 3986, 6174, 10727, 267, 2569, 5826, 3790, 267, 543, 2087, 2949, 18239, 2359, 563, 9590, 14617, 8905, 11938, 1949, 723, 19117, 6283, 676, 17306, 2951, 11507, 543, 4227, 4492, 4616, 269, 1452, 1949, 5659, 1483, 6066, 6808, 1239, 267, 4365, 2175, 267, 543, 824, 4632, 547, 5173, 519, 1034, 3608, 543, 942, 22766, 11507, 269, 1635, 3246, 10256, 609, 1483, 6066, 8905, 10311, 543, 7840, 267, 8905, 11938, 1949, 666, 2569, 2951, 2053, 267, 7413, 4492, 6165, 267, 543, 2087, 2949, 6283, 4398, 269, 3642, 10276, 12574, 8905, 11938, 2337, 6283, 3549, 2569, 3790, 267, 3986, 6075, 9547, 267, 543, 11694, 10512, 4398, 563, 305, 728, 27691, 2130, 543, 24822, 7896, 454, 9590, 4066, 723, 9927, 11878, 6879, 2130, 543, 6765, 2533, 676, 5355, 4398, 267, 4227, 3790, 267, 543, 7393, 519, 2949, 6075, 1995, 269, 3642, 14617, 6620, 5659, 1483, 6066, 1239, 593, 2951, 3270, 267, 3593, 7375, 267, 543, 9920, 8244, 547, 6474, 15915, 609, 10256, 543, 11126, 6174, 23332, 269, 1635, 16107, 3642, 267, 11878, 6879, 2130, 543, 6765, 2533, 666, 7413, 7227, 2053, 267, 2569, 8900, 6174, 12919, 267, 543, 2087, 3028, 10333, 269, 3642, 10276, 12574, 11878, 6879, 2130, 543, 6765, 2533, 5512, 15915, 543, 5561, 547, 2972, 10375, 543, 1942, 15807, 6283, 3681, 269, 0, 2026, 4213, 543, 2043, 4497, 538, 8852, 267, 621, 568, 1271, 547, 2327, 602, 519, 2474, 543, 2175, 540, 519, 6876, 616, 16155, 11006, 269, 901, 568, 1141, 519, 1850, 1275, 540, 513, 4570, 4579, 2501, 883, 1404, 269, 6181, 958, 11006, 11731, 616, 1898, 585, 4509, 3972, 543, 30176, 519, 8699, 540, 1870, 8852, 563, 288, 4570, 4579, 568, 7768, 540, 1896, 1883, 2609, 267, 1519, 606, 2709, 267, 10343, 267, 7156, 267, 543, 519, 9837, 547, 1711, 3656, 1894, 269, 9453, 891, 1898, 3334, 267, 513, 4579, 949, 711, 581, 16155, 11006, 563, 2304, 2709, 568, 513, 11556, 1500, 676, 835, 5428, 547, 1776, 267, 24152, 519, 2474, 543, 2175, 540, 519, 6069, 6876, 269, 634, 2709, 1590, 581, 18481, 1808, 543, 17386, 547, 1450, 519, 824, 5428, 547, 1174, 1018, 568, 1373, 6069, 269, 4495, 606, 2709, 814, 1044, 1500, 267, 519, 824, 5428, 814, 519, 4781, 547, 2901, 3398, 621, 267, 7947, 621, 267, 610, 4831, 4752, 518, 563, 10907, 1061, 766, 540, 606, 2709, 568, 2629, 547, 9591, 519, 1850, 1275, 540, 513, 4579, 269, 20504, 766, 1590, 581, 14955, 6463, 543, 11604, 519, 2474, 540, 519, 2709, 269, 7102, 11539, 689, 519, 3355, 2709, 949, 13822, 513, 18349, 543, 513, 1007, 2709, 1373, 1500, 563, 8256, 573, 3130, 568, 1776, 1898, 5057, 540, 513, 4570, 4579, 269, 3117, 573, 3130, 4016, 547, 1945, 540, 1871, 1373, 22121, 1063, 519, 6105, 267, 971, 607, 2724, 267, 5370, 267, 610, 2533, 269, 769, 1931, 585, 7156, 547, 581, 4570, 267, 621, 1590, 581, 540, 1871, 543, 20476, 7134, 585, 1063, 519, 6105, 563, 15563, 267, 621, 568, 1271, 585, 1312, 6105, 547, 723, 519, 9837, 547, 1711, 3656, 1894, 269, 901, 1797, 602, 1312, 6105, 1590, 723, 519, 1620, 602, 519, 6876, 789, 616, 10024, 883, 568, 16155, 11006, 543, 17997, 762, 563, 1103, 1840, 547, 891, 1883, 2609, 267, 972, 616, 849, 3656, 4170, 602, 1590, 581, 1558, 585, 513, 4579, 547, 581, 4570, 269, 1280, 1383, 267, 782, 6105, 3238, 1590, 723, 3656, 4390, 547, 4283, 883, 513, 4579, 269, 901, 1797, 602, 789, 1590, 581, 540, 3656, 2085, 267, 15508, 19579, 267, 543, 711, 896, 5918, 816, 610, 3768, 826, 3310, 563, 2005, 568, 849, 1271, 602, 519, 2474, 543, 2175, 540, 519, 4579, 616, 711, 10363, 610, 1996, 1857, 3609, 269, 1403, 513, 4579, 3423, 919, 1022, 4031, 610, 1857, 3609, 267, 621, 949, 711, 581, 17997, 762, 563, 14454, 267, 519, 1850, 1275, 540, 513, 4570, 4579, 568, 2629, 585, 1022, 1870, 610, 1367, 2502, 538, 8852, 269, 23496, 602, 782, 519, 2556, 2609, 616, 1459, 543, 602, 519, 4579, 10742, 782, 3656, 4170, 568, 1898, 585, 7863, 519, 2924, 543, 4690, 540, 782, 6105, 3238, 269, 1635, 2348, 513, 16155, 11006, 4579, 267, 6105, 666, 2057, 13882, 543, 2226, 3972, 543, 8699, 538, 1870, 8852, 269, 0, 6701, 596, 3168, 547, 22010, 707, 5122, 1062, 538, 707, 1753, 610, 5604, 286, 12305, 532, 11443, 12222, 585, 1769 ]

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

[ 547, 581, 519, 1753, 540, 1585, 19366, 2516, 543, 922, 6080, 4797, 547, 1683, 7694, 585, 922, 3395, 2551, 269, 20876, 519, 4797, 2956, 540, 1216, 6283, 547, 519, 2804, 1072, 540, 519, 1533, 267, 1715, 3840, 3557, 32206, 922, 12324, 1062, 538, 519, 6679, 1296, 540, 519, 14206, 2540, 609, 519, 1007, 645, 1618, 22575, 1062, 267, 13868, 1082, 2694, 540, 519, 661, 4471, 543, 11105, 23668, 602, 16941, 593, 7504, 268, 543, 544, 2544, 12454, 16996, 269, 634, 2749, 3964, 519, 1101, 18513, 19633, 538, 519, 2136, 2276, 538, 476, 4572, 278, 543, 7494, 9450, 922, 23747, 5211, 5800, 693, 519, 1482, 942, 563, 763, 4279, 12870, 3576, 922, 17167, 593, 7264, 540, 19186, 1415, 267, 855, 621, 729, 849, 519, 1747, 1141, 15284, 17619, 4603, 539, 609, 1533, 30845, 8323, 3646, 607, 1533, 17294, 1063, 476, 4572, 279, 543, 476, 4350, 273, 267, 2093, 602, 1010, 7245, 2417, 2919, 543, 15568, 593, 513, 3084, 4336, 1310, 646, 2968, 7022, 538, 476, 4350, 273, 269, 634, 2749, 849, 13859, 7980, 543, 4853, 2472, 547, 519, 3084, 4674, 1739, 519, 12176, 540, 2622, 2782, 4083, 538, 476, 3707, 272, 563, 763, 2022, 21351, 1974, 538, 19186, 1415, 729, 835, 540, 1713, 2242, 547, 519, 2749, 779, 4853, 3490, 267, 922, 2551, 267, 543, 922, 2168, 1646, 269, 634, 2749, 6603, 922, 5207, 2551, 540, 5176, 476, 13670, 267, 1822, 1004, 538, 519, 476, 4198, 271, 14829, 267, 855, 922, 2551, 543, 6080, 17379, 538, 519, 1974, 1739, 602, 269, 2991, 519, 2112, 267, 513, 1804, 3979, 12677, 9194, 689, 519, 3162, 2799, 519, 3109, 2551, 540, 19186, 1415, 543, 824, 7187, 4872, 267, 855, 519, 2749, 779, 2551, 538, 2489, 17379, 936, 519, 1296, 547, 7864, 982, 476, 1911, 267, 1822, 2221, 563, 763, 1034, 1713, 2168, 1689, 538, 519, 2749, 3357, 538, 476, 3422, 273, 609, 519, 23318, 676, 17135, 20307, 589, 269, 18842, 651, 325, 11839, 540, 519, 4070, 540, 519, 630, 852, 264, 7276, 3557, 1773, 18054, 11105, 547, 519, 3557, 7167, 20738, 267, 799, 23498, 476, 7176, 14143, 540, 5656, 543, 10754, 585, 513, 1007, 1950, 540, 1533, 13646, 543, 10198, 5624, 267, 607, 1134, 607, 513, 1007, 1533, 5399, 543, 9754, 563, 5475, 12032, 540, 519, 1788, 538, 476, 3192, 279, 543, 513, 1007, 1719, 538, 4683, 2713, 593, 519, 851, 540, 1762, 1004, 543, 968, 24105, 268, 5886, 1562, 2223, 519, 16973, 4478, 519, 1773, 18054, 941, 11222, 4106, 730, 538, 1804, 851, 609, 519, 6351, 540, 5313, 7991, 4886, 13332, 16827, 7482, 689, 519, 4972, 540, 24184, 543, 12124, 4886, 269, 2311, 519, 1482, 942, 267, 519, 3084, 8978, 11091, 3350, 3576, 3597, 538, 19186, 1415, 609, 519, 25465, 540, 19866, 19186, 1415, 7690, 267, 606, 14223, 1895, 6131, 547, 519, 11091, 540, 519, 3710, 1604, 538, 19186, 1415, 269, 0, 763, 7194, 5473, 8695, 543, 2069, 1413, 6926, 752, 269, 2859, 8695, 1166, 6064, 610, 6749, 856, 540, 1153, 982, 6690, 267, 543, 1762, 9038, 1118, 909, 811, 982, 1079, 22188, 540, 519, 1053, 538, 2027, 2069, 269, 21661, 519, 4604, 267, 538, 10026, 267, 1164, 1153, 267, 543, 2362, 2069, 267, 6690, 856, 704, 845, 8695, 538, 2543, 547, 6780, 543, 9344, 267, 607, 4080, 676, 519, 5398, 16340, 26511, 6796, 5680, 3135, 267, 533, 2125, 18499, 3820, 563, 3383, 945, 568, 547, 16620, 585, 267, 1018, 5654, 899, 267, 7911, 779, 3872, 3284, 4331, 286, 7812, 16399, 267, 1071, 10461, 540, 519, 1433, 14780, 2358, 595, 664, 281, 27986, 519, 16508, 5020, 540, 27258, 267, 11099, 602, 8695, 723, 1932, 1454, 1648, 585, 2757, 3506, 269, 968, 5415, 8695, 723, 2042, 609, 3007, 543, 1445, 982, 6690, 2507, 4517, 789, 616, 711, 2016, 2614, 3255, 1496, 514, 1153, 316, 547, 1847, 1472, 3034, 1320, 15106, 779, 3409, 949, 1489, 1946, 8695, 616, 1614, 2053, 607, 2693, 547, 581, 8995, 609, 23206, 4347, 7228, 15214, 13808, 13081, 630, 4696, 8461, 1040, 11048, 267, 8695, 945, 616, 711, 5828, 1055, 676, 519, 3668, 540, 3350, 543, 2534, 3330, 519, 4928, 616, 1419, 7479, 12184, 676, 6848, 476, 1571, 3544, 519, 4928, 267, 971, 607, 14228, 338, 543, 5061, 269, 1924, 875, 798, 649, 948, 1118, 1153, 543, 1565, 1187, 585, 938, 14930, 286, 1656, 875, 798, 649, 4001, 8695, 547, 1416, 827, 741, 2069, 5103, 519, 9465, 789, 3068, 538, 2757, 3506, 543, 2486, 286, 12989, 616, 1175, 513, 1906, 2081, 596, 666, 1205, 707, 14930, 593, 519, 1318, 3950, 563, 15675, 3506, 602, 2743, 707, 5067, 779, 2115, 454, 10932, 3506, 538, 707, 1858, 543, 1265, 856, 799, 3283, 2709, 3232, 6044, 1034, 14018, 585, 707, 5067, 779, 4690, 269, 6333, 3506, 602, 1683, 811, 15547, 543, 5924, 12424, 2238, 269, 11752, 3506, 602, 2709, 811, 3946, 6823, 4485, 547, 1565, 267, 1141, 1053, 1205, 547, 1711, 2257, 543, 1514, 2090, 3785, 10353, 547, 1175, 6217, 3610, 2911, 269, 2368, 3506, 946, 5152, 543, 7544, 547, 948, 1053, 4487, 6437, 269, 11524, 8415, 2361, 15143, 543, 1966, 2861, 1565, 269, 6270, 14292, 2994, 616, 1732, 28110, 585, 8695, 945, 616, 3335, 811, 3742, 543, 1491, 811, 4220, 982, 6690, 563, 1103, 341, 9876, 707, 8695, 538, 454, 763, 9628, 5244, 10588, 14747, 5026, 3292, 585, 3214, 607, 1762, 607, 476, 275, 269, 6270, 3292, 786, 1450, 707, 5067, 547, 1163, 601, 930, 1648, 543, 723, 1945, 547, 1413, 4464, 547, 1310, 1153, 269, 1809, 581, 2386, 547, 17063, 707, 1126, 779, 3063, 268, 22793, 2238, 547, 741, 2069, 269, 2913, 707, 1126, 917, 602, 538, 1931, 547, 7119, 538, 1310, 17469, 737, 26147, 5049, 267, 789, 1590, 1101, 2347, 741, 6780, 269, 4746, 267, 2253, 513, 2078, 609, 707, 1126, 779, 3063, 268, 22793, 14357, 269, 5269, 2386, 646, 610, 1352, 568, 5461, 538, 543, 7512, 707, 1126, 779, 4081, 1967, 269, 7053, 267, 1373, 3238, 538, 606, 1310, 17469, 1982, 8952, 707, 1126, 1055, 519, 8265, 267, 1141, 865, 1082, 9628, 5398, 3427, 1053, 723, 2907, 1831, 6408, 563, 2750, 2821, 707, 8695, 454, 1729, 2318, 5256, 1909, 3631, 454, 289, 9081, 4043, 547, 1413, 547, 519, 1034, 2442, 5256, 5515, 789, 917, 547, 3391, 741, 4876, 10092, 267, 2523, 952, 741, 18971, 616, 15534, 538, 741, 2729, 269, 4107, 540, 519, 2367, 8695, 23507, 616, 5026, 5515, 543, 7038, 619, 269, 1809, 972, 616, 824, 2318, 3109, 5256, 1909, 3631, 538, 938, 2146, 269, 5620, 707, 5067, 7747, 5256, 23001, 16146, 543, 7128, 10492, 282, 2367, 945, 4196, 543, 2149, 519, 2146, 269, 3509, 3979, 12677, 2367, 1402, 3634, 3506, 538, 938, 2146, 267, 8066, 7158, 607, 3610, 267, 632, 753, 543, 21246, 1023, 269, 5620, 707, 14930, 1413, 547, 891, 2367, 269, 1403, 596, 723, 513, 2182, 942, 10478, 585, 1909, 3631, 2673, 547, 1753, 267, 3391, 707, 5067, 547, 1265, 873, 538, 3332, 269, 589, 5449, 21388, 2146, 4759, 594, 14437, 547, 267, 945, 1631, 1568, 585, 519, 9628, 17318, 4972, 267, 1767, 281, 968, 7069, 3993, 1131, 6718, 3109, 1686, 2835, 799, 941, 2407, 540, 2984, 540, 1004, 945, 22848, 877, 14488, 2560, 899, 18148, 14465, 928, 12027, 267, 1496, 310, 9950, 11065, 20426, 14878, 12251, 267, 543, 519, 899, 1848, 1261, 10305, 1082, 540, 1010, 18517, 547, 1346, 945, 12913, 865, 1454, 1354, 1864, 269, 6423, 952, 707, 1126, 786, 4324, 689, 12325, 540, 519, 2250, 607, 1134, 269, 11752, 519, 9628, 5398, 7732, 543, 707, 1126, 779, 1153, 5399, 585, 2835, 827, 2318, 3109, 5256, 1909, 3631, 543, 5000, 707, 5067, 547, 2638, 873, 856, 563, 21886, 5971, 707, 5067, 547, 2648, 1153, 543, 1565, 269, 7767, 538, 1010, 2069, 609, 5812, 1489, 543, 15400, 1565, 2994, 7146, 2972, 519, 12587, 547, 2097, 269, 0, 1320, 8557, 689, 2405, 31296, 476, 278, 918, 14684, 302, 593, 966, 830, 334, 563, 763, 11178, 14189, 2306, 10399, 602, 10038, 10307, 269, 634, 11178, 849, 814, 824, 1271, 2360, 2429, 519, 1560, 269, 1323, 936, 5562, 11178, 666, 2333, 519, 1981, 540, 21404, 543, 18655, 269, 589, 2487, 1353, 8947, 2436, 519, 1981, 540, 891, 18655, 849, 4679, 1851, 2550, 609, 1152, 7646, 17244, 540, 519, 11178, 267, 1346, 945, 723, 711, 2919, 1022, 2168, 2589, 607, 513, 1267, 540, 2348, 1932, 1454, 610, 1932, 2370, 11178, 9449, 269, 0, 4467, 14658, 17795, 568, 513, 2165, 1031, 547, 4766, 2789, 18655, 538, 513, 10126, 540, 519, 5642, 2059, 609, 519, 5945, 547, 519, 4478, 8031, 543, 28587, 267, 4749, 3614, 1005, 519, 11105, 4745, 1932, 563, 2005, 666, 581, 519, 1267, 540, 8009, 267, 2887, 689, 4463, 267, 3092, 269, 13216, 17795, 666, 1419, 2014, 4745, 20247, 6327, 610, 519, 2530, 540, 15998, 540, 519, 5762, 3293, 7633, 563, 763, 1762, 17320, 8089, 4079, 630, 341, 1112, 15501, 540, 6174, 10913, 1070, 9845, 630, 716, 8481, 789, 1685, 1522, 581, 1932, 16854, 1070, 2021, 936, 519, 2085, 540, 476, 3393, 630, 16746, 547, 17441, 2242, 972, 616, 1164, 8458, 540, 3384, 21404, 1070, 2025, 2085, 630, 321, 2158, 616, 2907, 4617, 264, 616, 693, 1164, 1981, 540, 3478, 1950, 18655, 563, 4467, 14658, 17795, 666, 2901, 581, 1930, 610, 6806, 17795, 563, 1103, 1930, 17795, 519, 5762, 3293, 7633, 11912, 998, 519, 2960, 5160, 2870, 606, 1930, 10138, 1932, 269, 7046, 18655, 616, 6140, 3361, 676, 4155, 6808, 10913, 267, 3587, 2352, 547, 1521, 543, 3217, 811, 942, 547, 12115, 607, 3379, 547, 6806, 18655, 269, 901, 568, 1317, 1930, 16398, 616, 811, 12155, 547, 5563, 543, 972, 568, 3606, 991, 547, 1683, 10138, 3795, 630, 27415, 6391, 538, 15399, 334, 476, 2004, 260, 2665, 1916, 1103, 6806, 17795, 972, 568, 1100, 2736, 538, 519, 2960, 5160, 8754, 267, 519, 2126, 568, 4443, 855, 267, 1373, 513, 1950, 17795, 835, 814, 547, 10929, 10551, 5650, 547, 11177, 536, 3415, 15364, 563, 4467, 14658, 18655, 616, 711, 865, 2653, 547, 1521, 269, 634, 18874, 1281, 513, 22111, 840, 268, 10869, 4879, 543, 4058, 269, 1306, 829, 519, 10421, 543, 4299, 1858, 18032, 899, 10824, 267, 25336, 267, 22203, 267, 18969, 6148, 2877, 563, 763, 2126, 2882, 10778, 4306, 17803, 476, 272, 10778, 2005, 568, 513, 5650, 538, 799, 519, 4299, 18215, 568, 11689, 1242, 585, 4483, 610, 16646, 676, 1210, 17285, 18032, 563, 2005, 568, 519, 2165, 1031, 585, 10551, 8851, 540, 519, 4666, 5160, 270, 11935, 543, 4914, 1570, 689, 519, 10138, 563, 763, 23262, 1491, 513, 1507, 2179, 540, 2960, 610, 21910, 540, 519, 3461, 779, 1378, 2960, 547, 3382, 519, 13676, 1858, 610, 2101, 16646, 676, 1166, 777, 949, 581, 2877, 563, 2005, 568, 513, 5650, 2944, 547, 11177, 519, 1973, 3761, 540, 519, 13676, 5160, 538, 2013, 540, 4049, 8194, 563, 1103, 17795, 16646, 519, 4299, 15998, 540, 519, 5642, 568, 6378, 2901, 1210, 4835, 4368, 2209, 899, 25336, 267, 10824, 543, 5642, 21910, 338, 610, 5007, 4368, 2209, 899, 20382, 543, 25336, 267, 607, 2838, 563, 763, 7067, 1974, 540, 519, 1950, 17795, 9775, 689, 602, 540, 519, 824, 17795, 607, 711, 1152, 7633, 855, 7404, 2571, 8031, 616, 4299, 849, 563, 9827, 519, 7067, 5673, 593, 519, 2085, 543, 4008, 540, 519, 3461, 563, 3891, 2718, 1522, 581, 5488, 538, 513, 12963, 5642, 267, 1317, 789, 616, 693, 513, 3395, 3942, 1818, 621, 4443, 585, 519, 7633, 543, 2571, 5160, 547, 12115, 269, 24641, 267, 621, 1131, 581, 2352, 547, 12115, 538, 2025, 543, 522, 21163, 648, 6776, 7633, 607, 519, 5642, 568, 2907, 4617, 543, 7067, 568, 14887, 538, 11361, 1813, 547, 2564, 10108, 267, 4057, 6484, 543, 3668, 540, 1978, 1434, 10399, 269, 9747, 267, 513, 1697, 7067, 942, 1058, 581, 2016, 547, 519, 5762, 3293, 1858, 4470, 593, 519, 2085, 543, 4008, 540, 2550, 267, 607, 621, 949, 4268, 689, 476, 277, 4374, 547, 476, 277, 3275, 563, 5629, 519, 7067, 814, 3144, 1747, 4625, 835, 1058, 14553, 1246, 519, 3635, 2126, 1544, 607, 2966, 676, 519, 9647, 31517, 2319, 267, 713, 5123, 568, 1419, 2165, 607, 519, 11222, 5123, 563, 763, 14317, 5123, 2126, 1544, 568, 2966, 607, 829, 519, 4299, 3135, 8754, 267, 9775, 689, 3461, 547, 3461, 269, 634, 1544, 3335, 2874, 540, 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 ]

[ 0, 12988, 1928, 568, 835, 540, 519, 3119, 4128, 585, 4387, 11564, 267, 543, 593, 8317, 267, 602, 1928, 666, 2234, 5573, 547, 824, 2694, 540, 519, 1560, 269, 2233, 1738, 320, 267, 513, 2783, 538, 799, 519, 1414, 1738, 8229, 2833, 2604, 689, 513, 7404, 2497, 267, 666, 2014, 8101, 9636, 538, 519, 2539, 1560, 3148, 269, 1717, 267, 519, 9647, 31517, 5234, 693, 570, 592, 2033, 6481, 4741, 666, 2232, 1414, 1738, 320, 1928, 609, 2126, 3800, 20083, 547, 1142, 3461, 779, 1808, 2564, 2115, 269, 15566, 2542, 547, 1265, 856, 811, 563, 3963, 6496, 2233, 1738, 320, 12769, 584, 888, 12179, 15629, 2497, 602, 24864, 593, 519, 1414, 1738, 8229, 666, 2014, 1414, 1738, 320, 269, 5221, 519, 954, 591, 974, 13887, 25923, 616, 538, 2673, 16133, 547, 519, 1414, 1738, 8229, 267, 1167, 1200, 333, 2747, 568, 513, 1455, 2014, 540, 1414, 1738, 320, 269, 670, 1716, 2747, 267, 799, 4229, 519, 9703, 540, 606, 954, 591, 974, 13887, 1167, 547, 21556, 519, 9018, 9245, 267, 666, 2049, 689, 1022, 1297, 540, 6381, 269, 2806, 4533, 2604, 593, 519, 1167, 666, 3132, 513, 28230, 267, 607, 666, 16625, 5163, 602, 7930, 9714, 525, 519, 2497, 563, 1432, 3657, 519, 20050, 540, 2233, 1738, 320, 888, 2691, 519, 1414, 1738, 8229, 2833, 2604, 267, 519, 4611, 1928, 666, 15186, 1764, 519, 3411, 19907, 779, 2298, 540, 1272, 269, 13689, 593, 519, 1259, 538, 799, 519, 8229, 568, 4299, 267, 930, 1004, 609, 1414, 1738, 320, 949, 5469, 513, 9645, 6175, 538, 1850, 1599, 269, 769, 1978, 2665, 267, 2604, 593, 519, 8229, 666, 1267, 538, 31018, 269, 4033, 24412, 949, 1995, 15246, 1928, 602, 10237, 919, 2429, 519, 1850, 269, 12580, 949, 2063, 585, 4374, 610, 3275, 563, 1692, 2052, 513, 7982, 10266, 16869, 6164, 2233, 1738, 320, 888, 763, 1883, 547, 8156, 1928, 689, 1414, 1738, 320, 568, 547, 917, 1018, 568, 4929, 519, 2783, 269, 1323, 9647, 31517, 4274, 666, 4363, 9196, 2533, 547, 1294, 1018, 568, 10296, 2390, 519, 8229, 543, 875, 1655, 547, 16185, 621, 269, 631, 843, 2665, 540, 1414, 1738, 320, 949, 2154, 1152, 6646, 610, 2168, 3797, 547, 8897, 1928, 543, 2530, 540, 14815, 269, 1879, 513, 1713, 1167, 1200, 333, 2747, 610, 824, 1966, 3123, 5571, 543, 5051, 11213, 2589, 267, 513, 4387, 1522, 18973, 6391, 547, 2953, 519, 5817, 2783, 543, 9004, 8229, 2604, 563, 6701, 596, 7092, 689, 1414, 1738, 320, 286, 1403, 596, 723, 32688, 17915, 610, 31462, 25290, 1928, 538, 707, 2539, 17119, 885, 267, 1289, 570, 592, 2033, 6481, 4741, 693, 630, 27843, 264, 476, 280, 6434, 268, 276, 2918, 274, 547, 3717, 609, 606, 12314, 827, 707, 2783, 269, 634, 5234, 693, 938, 1715, 20252, 2564, 4099, 666, 948, 596, 3313, 519, 1655, 1576, 540, 2962, 547, 2232, 707, 1928, 543, 9636, 269, 0, 1692, 547, 1711, 513, 1382, 1957, 593, 6880, 11648, 454, 24426, 828, 11648, 568, 519, 946, 540, 1585, 3029, 540, 1344, 2029, 547, 3771, 817, 824, 1004, 585, 25796, 4128, 269, 1703, 616, 1082, 824, 2081, 540, 10747, 713, 2165, 602, 616, 3908, 547, 1808, 2477, 610, 2199, 885, 4352, 513, 1455, 3364, 827, 782, 891, 8847, 568, 602, 621, 3096, 2029, 269, 5221, 540, 519, 1259, 1114, 1004, 1174, 713, 1523, 8335, 267, 513, 5856, 949, 6430, 547, 2932, 1382, 547, 1265, 856, 1018, 3123, 713, 3017, 538, 1620, 1063, 1004, 540, 1114, 2477, 269, 901, 949, 948, 679, 13097, 824, 1004, 945, 798, 711, 917, 1454, 827, 713, 1641, 4352, 789, 723, 22734, 519, 18275, 538, 835, 1259, 610, 1776, 563, 17730, 513, 1382, 1957, 593, 6880, 11648, 454, 5629, 596, 723, 4956, 602, 596, 1616, 547, 1413, 693, 713, 2339, 538, 3178, 267, 596, 666, 2141, 2932, 1382, 543, 2097, 909, 609, 513, 8313, 602, 6941, 547, 1114, 9458, 519, 1483, 4605, 540, 713, 7613, 269, 634, 1739, 4061, 616, 930, 540, 519, 1919, 602, 666, 581, 2944, 1282, 519, 5137, 540, 513, 1382, 1957, 593, 6880, 11648, 912, 268, 18430, 513, 1382, 269, 901, 949, 581, 998, 2542, 2835, 267, 6998, 1644, 2959, 267, 3168, 693, 1644, 2665, 602, 723, 5949, 538, 519, 2104, 543, 519, 1259, 789, 941, 17411, 1851, 824, 1919, 563, 268, 4438, 519, 1382, 267, 1491, 4967, 543, 2594, 1022, 3730, 1344, 602, 786, 948, 596, 1282, 519, 735, 4979, 540, 707, 1867, 269, 1411, 949, 849, 3561, 930, 2013, 2090, 602, 596, 2097, 2066, 1282, 707, 1382, 607, 789, 786, 948, 538, 519, 8380, 1927, 540, 707, 2093, 563, 268, 1411, 949, 849, 2328, 1524, 930, 2055, 547, 3391, 596, 585, 3236, 267, 1018, 519, 1523, 568, 267, 1018, 3123, 621, 267, 585, 875, 1279, 814, 621, 1044, 8345, 267, 875, 568, 971, 513, 3510, 17411, 676, 519, 1004, 3238, 543, 865, 593, 563, 268, 1411, 949, 1287, 2328, 519, 1957, 1310, 596, 616, 2944, 609, 15388, 2921, 4063, 540, 519, 2596, 2609, 540, 513, 1382, 1957, 543, 519, 1893, 602, 568, 1031, 538, 519, 1603, 563, 3725, 23428, 540, 1382, 4574, 454, 10932, 4574, 616, 4061, 1360, 1271, 2081, 540, 9306, 3730, 1344, 538, 513, 811, 2143, 1106, 269, 7324, 824, 2956, 540, 891, 3029, 540, 4081, 1603, 1331, 519, 1739, 912, 268, 1358, 666, 581, 1031, 607, 513, 4493, 585, 6268, 676, 12820, 540, 513, 1978, 3919, 454, 268, 1358, 666, 581, 1031, 547, 2491, 513, 1523, 585, 3236, 602, 540, 519, 6880, 11648, 454, 268, 1358, 666, 581, 1031, 547, 1174, 513, 7613, 538, 513, 1732, 1259, 454, 268, 1358, 3006, 1683, 513, 8628, 2594, 540, 2621, 454, 268, 1358, 948, 538, 1966, 6061, 607, 1382, 24084, 839, 519, 1857, 593, 513, 1297, 540, 1919, 6236, 875, 585, 621, 666, 979, 454, 3383, 10416, 513, 1382, 593, 6880, 11648, 666, 581, 24084, 2287, 6236, 519, 1249, 602, 621, 568, 835, 540, 519, 1699, 2152, 782, 936, 519, 1158, 269, 0, 10890, 543, 3106, 9086, 666, 1419, 2408, 3833, 1950, 269, 1703, 616, 7366, 540, 1114, 6042, 602, 3549, 1590, 16783, 609, 543, 972, 616, 5215, 540, 5583, 6054, 689, 1585, 6554, 28007, 4703, 269, 1717, 267, 1256, 609, 782, 713, 1344, 827, 1072, 543, 3106, 693, 960, 267, 972, 568, 835, 2596, 543, 4909, 3364, 602, 782, 12820, 1590, 798, 1107, 1981, 4879, 563, 32391, 4879, 568, 519, 1184, 17929, 1142, 2816, 602, 568, 2944, 693, 960, 568, 5402, 21845, 585, 922, 1377, 540, 1981, 269, 901, 3948, 568, 711, 3833, 2953, 267, 1317, 519, 1876, 3085, 1406, 2965, 2154, 513, 1981, 4879, 585, 782, 6009, 269, 5502, 267, 12820, 1590, 4163, 856, 513, 1981, 4879, 540, 6009, 602, 1459, 513, 1713, 1981, 547, 1072, 543, 3106, 563, 17829, 6009, 602, 1459, 1713, 1981, 1590, 581, 5402, 21845, 547, 2327, 602, 10898, 2404, 609, 519, 2816, 616, 4857, 543, 519, 1981, 689, 1346, 10898, 616, 12290, 269, 4495, 519, 1377, 540, 1981, 568, 1634, 267, 1852, 3800, 666, 581, 2322, 538, 1747, 547, 2569, 519, 1377, 540, 1981, 269, 634, 2539, 519, 1981, 602, 513, 2816, 6799, 267, 519, 1447, 4960, 540, 606, 8009, 9648, 689, 602, 2816, 563, 3383, 267, 1018, 568, 513, 9651, 286, 763, 3044, 4214, 540, 513, 9651, 568, 267, 2048, 31138, 609, 519, 1761, 547, 2014, 2800, 547, 513, 1268, 17483, 2467, 616, 1082, 10898, 1472, 267, 799, 949, 2014, 2800, 547, 513, 1268, 269, 9605, 267, 6464, 267, 7829, 5230, 13907, 267, 1793, 2354, 543, 15143, 543, 6846, 616, 930, 1806, 563, 763, 4214, 540, 1981, 568, 267, 2048, 1492, 10171, 543, 12343, 540, 513, 9651, 1373, 1483, 2213, 17483, 295, 1794, 1841, 1459, 1981, 267, 855, 711, 782, 10898, 1459, 519, 1482, 2179, 540, 1981, 269, 1280, 1383, 267, 1491, 3595, 607, 513, 9651, 269, 1403, 649, 979, 593, 9702, 543, 3251, 538, 513, 2947, 5182, 15678, 602, 568, 7307, 676, 513, 1804, 3486, 5832, 609, 606, 5140, 3106, 2594, 267, 519, 1981, 689, 3595, 630, 1492, 9651, 264, 786, 581, 1360, 1507, 269, 1717, 267, 952, 649, 6430, 547, 1847, 547, 513, 1394, 3613, 22901, 15678, 602, 814, 1100, 3595, 15416, 538, 1747, 267, 609, 5310, 513, 4057, 3106, 2594, 267, 1287, 519, 1981, 689, 3595, 568, 1454, 3152, 563, 28775, 2685, 713, 1383, 14550, 602, 10898, 616, 6378, 855, 1981, 568, 4756, 563, 4322, 616, 1919, 602, 666, 581, 2322, 538, 1747, 547, 2569, 519, 1981, 689, 513, 9651, 269, 8033, 5224, 519, 6249, 540, 3595, 607, 513, 9651, 267, 649, 666, 2569, 519, 1981, 689, 3595, 676, 2348, 3595, 22572, 538, 1747, 267, 676, 2866, 1004, 538, 27549, 543, 676, 3246, 5265, 9738, 3595, 24773, 29913, 543, 824, 3595, 8165, 3937, 563, 288, 4518, 539, 7151, 454, 4131, 779, 1491, 606, 1383, 543, 960, 998, 513, 1981, 4879, 269, 2913, 779, 2015, 7738, 606, 5604, 607, 519, 2816, 269, 634, 1101, 851, 540, 519, 1981, 4879, 1184, 568, 547, 1592, 782, 519, 10898, 2404, 609, 519, 2816, 269, 5457, 267, 10898, 616, 1919, 602, 723, 519, 1761, 547, 2014, 2800, 563, 295, 1794, 1841, 2404, 609, 7738, 606, 5604, 1223, 581, 912, 20228, 2354, 543, 15143, 454, 23086, 609, 7738, 6464, 10048, 783, 7829, 7063, 16978, 3740, 9651, 689, 7738, 3937, 454, 3086, 1287, 267, 649, 723, 547, 960, 856, 519, 1981, 689, 1142, 540, 1346, 10898, 269, 10705, 267, 513, 2241, 1259, 540, 2324, 856, 1981, 568, 676, 3168, 693, 519, 10782, 2009, 8009, 602, 1223, 2049, 689, 602, 9651, 543, 1287, 11008, 1047, 621, 607, 2901, 1970, 267, 5420, 610, 1164, 563, 2690, 1383, 267, 2576, 1793, 6235, 593, 513, 6632, 6989, 568, 12691, 547, 1267, 538, 513, 2101, 5945, 267, 4352, 621, 949, 2014, 5634, 9636, 269, 1809, 606, 3167, 8710, 689, 25768, 3937, 949, 1267, 538, 513, 3170, 1275, 269, 4475, 267, 519, 1981, 689, 513, 17277, 1826, 9651, 1223, 581, 1362, 539, 607, 1970, 267, 1247, 519, 1981, 689, 606, 5122, 9651, 949, 581, 1362, 539, 607, 5420, 610, 1256, 1164, 563, 763, 3803, 851, 540, 519, 1981, 4879, 1184, 568, 547, 1413, 693, 782, 1346, 10898, 602, 1459, 513, 5420, 610, 1164, 1981, 543, 547, 1589, 827, 930, 3606, 1919, 602, 1223, 948, 547, 2569, 519, 1981, 543, 4061, 2569, 519, 4960, 540, 606, 8009, 269, 12344, 513, 1852, 2268, 585, 938, 7738, 1383, 1131, 581, 585, 1022, 5122, 3937, 547, 581, 13761, 676, 513, 11727, 1268, 593, 513, 3670, 10865, 4493, 269, 901, 1131, 2569, 519, 8458, 540, 606, 3167, 8710, 543, 1131, 4061, 2569, 519, 1981, 547, 513, 811, 11807, 1377, 563, 763, 1184, 540, 1981, 4879, 568, 711, 1152, 16601, 538, 2474, 540, 1072, 543, 3106, 1876, 267, 621, 568, 606, 5140, 1259, 540, 7114, 519, 1826, 540, 1981, 602, 6818, 609, 519, 6009, 602, 649, 798, 693, 960, 269, 1635, 2921, 513, 1906, 8090, 547, 2697, 1981, 267, 649, 666, 2061, 1004, 3478, 13676, 610, 7166, 693, 960, 563, 296, 960, 538, 23695, 543, 950, 14656, 519, 6521, 267, 594, 993, 4397, 547, 6445, 609, 1216, 1896, 30520, 454, 263, 7474, 1282, 519, 1554, 1832, 519, 911, 903, 609, 1426, 3905, 1040, 594, 7691, 602, 519, 2698, 540, 519, 1216, 547, 581, 454, 8364, 3072, 666, 3914, 476, 1911, 11899, 267, 543, 607, 513, 4807, 267, 594, 993, 9277, 547, 798, 713, 676, 782, 8885, 267, 2921, 1216, 689, 835, 1993, 519, 29826, 3330, 519, 1930, 10051, 267, 8876, 621, 513, 1906, 7397, 3330, 519, 4558, 543, 1287, 454, 8518, 1782, 621, 268, 26311, 621, 3330, 519, 30520, 269, 1879, 594, 2307, 18825, 3116, 3330, 519, 1930, 10051, 547, 454, 8518, 548, 803, 519, 4904, 17428, 609, 1216, 936, 519, 11489, 630, 514, 1931, 711, 547, 4163, 621, 3330, 519, 4558, 2676, 600, 784, 519, 5561, 1070, 594, 993, 2141, 15189, 269, 634, 4305, 9562, 267, 609, 922, 12475, 1005, 4452, 267, 568, 16207, 454, 17141, 547, 519, 1034, 23387, 538, 519, 2319, 1247, 782, 519, 1964, 18082, 568, 1100, 2462, 4308, 855, 2196, 2476, 454, 3697, 689, 519, 20575, 269, 634, 4452, 267, 5645, 543, 24850, 19952, 267, 538, 1931, 547, 581, 23953, 538, 519, 30520, 454, 263, 7474, 616, 693, 519, 25637, 1377, 267, 609, 711, 2614, 2230, 936, 267, 896, 513, 15808, 267, 547, 1450, 7829, 519, 1216, 454, 27393, 569, 1070, 568, 14124, 585, 1250, 19704, 543, 17094, 956, 267, 1250, 1560, 3085, 1405, 20496, 621, 267, 594, 3112, 782, 1510, 454, 335, 664, 585, 519, 1985, 1554, 610, 1079, 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 ]

[ 7346, 29166, 27432, 16585, 3867, 272, 9706, 4151, 543, 519, 681, 9391, 11148, 547, 1269, 271, 259, 607, 1269, 325, 5332, 29540, 535, 259, 538, 519, 1269, 299, 317, 335, 259, 2343, 780, 1692, 666, 594, 4308, 609, 519, 2013, 1269, 335, 7807, 13727, 259, 2496, 1892, 12344, 594, 6415, 7508, 1945, 267, 855, 12582, 1405, 519, 1269, 299, 17353, 13727, 4151, 2013, 581, 519, 14724, 286, 4595, 1269, 1475, 325, 5332, 1922, 1475, 18155, 13727, 348, 283, 315, 22668, 1422, 574, 18680, 1422, 14153, 263, 347, 325, 5332, 1922, 24689, 28254, 1422, 22668, 264, 815, 476, 271, 10608, 1107, 1109, 4537, 531, 641, 2904, 476, 1691, 1412, 1428, 693, 476, 276, 281, 1704, 692, 763, 2013, 3230, 335, 815, 1422, 13727, 2330, 568, 519, 14724, 2094, 6695, 347, 325, 5332, 1922, 315, 347, 18155, 13727, 348, 2999, 1422, 22668, 2330, 1797, 602, 3230, 347, 325, 5332, 1922, 347, 2330, 568, 1447, 982, 6695, 22668, 2330, 3592, 10876, 267, 543, 4061, 6695, 14153, 315, 15927, 263, 347, 325, 5332, 1922, 24689, 613, 315, 22668, 315, 15927, 264, 815, 476, 271, 2330, 563, 2252, 3230, 272, 315, 548, 533, 2999, 1422, 13727, 18079, 596, 666, 946, 570, 3832, 2421, 3832, 341, 781, 8635, 281, 6695, 14153, 315, 15927, 263, 347, 325, 5332, 1922, 24689, 613, 315, 22668, 315, 15927, 264, 815, 1422, 14153, 315, 15927, 263, 347, 325, 5332, 1922, 347, 317, 335, 315, 613, 315, 22668, 317, 335, 315, 15927, 264, 1422, 548, 1422, 2765, 346, 272, 7346, 22668, 317, 335, 4153, 842, 347, 325, 5332, 1922, 347, 317, 335, 20867, 323, 315, 14153, 815, 1422, 2765, 346, 272, 7346, 22668, 317, 335, 4153, 347, 325, 5332, 1922, 315, 347, 318, 335, 317, 335, 267, 2330, 1141, 519, 2063, 4082, 666, 581, 1500, 11737, 337, 3320, 1507, 676, 2921, 3230, 333, 2330, 18481, 1804, 269, 0, 1892, 4239, 476, 280, 628, 476, 1220, 279, 267, 476, 6860, 281, 2641, 7537, 454, 301, 344, 305, 344, 577, 309, 656, 601, 454, 11693, 602, 1535, 568, 6027, 538, 32494, 543, 1535, 285, 736, 267, 1265, 519, 10545, 1871, 540, 1535, 971, 602, 454, 10674, 2517, 328, 4391, 6745, 514, 2988, 545, 2593, 270, 273, 15120, 338, 275, 338, 277, 3052, 604, 692, 3674, 713, 606, 8635, 2243, 2496, 12552, 256, 2336, 1892, 4239, 476, 280, 628, 476, 1220, 279, 267, 476, 4962, 281, 4962, 7537, 454, 332, 337, 9735, 454, 32621, 1384, 23192, 17397, 676, 27526, 305, 344, 577, 309, 656, 601, 454, 11693, 602, 1535, 568, 6027, 538, 32494, 543, 1535, 285, 736, 267, 1265, 519, 10545, 1871, 540, 1535, 971, 602, 454, 10674, 2517, 328, 4391, 6745, 514, 2988, 545, 2593, 270, 273, 15120, 338, 275, 338, 277, 3052, 604, 692, 3674, 713, 606, 8635, 2243, 2496, 12552, 256, 2439, 14197, 3070, 1384, 7445, 6523, 1422, 3847, 263, 1422, 2765, 12757, 910, 476, 272, 2410, 274, 348, 1422, 2431, 264, 815, 910, 1422, 2765, 3189, 6912, 346, 276, 12453, 275, 10592, 7445, 23976, 1422, 2765, 12757, 910, 476, 272, 2410, 274, 348, 815, 1422, 6523, 13064, 272, 348, 1422, 3847, 263, 910, 1422, 2765, 3189, 6912, 346, 276, 12453, 275, 4153, 2431, 264, 1341, 476, 273, 562, 1422, 7032, 259, 610, 4399, 2765, 12757, 910, 476, 272, 2410, 274, 348, 815, 1422, 7032, 1341, 1422, 6523, 13064, 272, 348, 1422, 3847, 7268, 2765, 3189, 6912, 346, 276, 12453, 275, 4153, 2431, 264, 1341, 476, 273, 562, 1422, 7032, 259, 1141, 562, 568, 606, 8870, 780, 2791, 1616, 519, 10545, 3070, 585, 1535, 602, 568, 3677, 982, 476, 736, 780, 8170, 1576, 267, 952, 596, 723, 1569, 547, 519, 3617, 2029, 596, 1223, 2141, 946, 513, 3113, 547, 1205, 519, 2626, 23099, 2483, 1892, 4239, 476, 280, 628, 476, 1220, 279, 267, 476, 6187, 281, 876, 7537, 454, 301, 344, 305, 344, 577, 309, 656, 601, 454, 32621, 1384, 23192, 17397, 676, 32275, 9735, 454, 14197, 3070, 1384, 7445, 6523, 1422, 3847, 263, 1422, 2765, 12757, 910, 476, 272, 2410, 274, 348, 1422, 2431, 264, 815, 910, 1422, 2765, 3189, 6912, 346, 276, 12453, 275, 10592, 7445, 23976, 1422, 2765, 12757, 910, 476, 272, 2410, 274, 348, 815, 1422, 6523, 13064, 272, 348, 1422, 3847, 263, 910, 1422, 2765, 3189, 6912, 346, 276, 12453, 275, 4153, 2431, 264, 1341, 476, 273, 562, 1422, 7032, 259, 610, 4399, 2765, 12757, 910, 476, 272, 2410, 274, 348, 815, 1422, 7032, 1341, 1422, 6523, 13064, 272, 348, 1422, 3847, 7268, 2765, 3189, 6912, 346, 276, 12453, 275, 4153, 2431, 264, 1341, 476, 273, 562, 1422, 7032, 259, 1141, 562, 568, 606, 8870, 780, 2791, 1616, 519, 10545, 3070, 585, 1535, 602, 568, 3677, 982, 476, 736, 780, 8170, 1576, 267, 952, 596, 723, 1569, 547, 519, 3617, 2029, 596, 1223, 2141, 946, 513, 3113, 547, 1205, 519, 2626, 23099, 13718, 8923, 2953, 803, 952, 594, 6415, 4636, 563, 10674, 2517, 328, 4097, 6745, 514, 2988, 545, 2593, 270, 273, 3534, 275, 332, 1889, 27970, 454, 1892, 4239, 476, 280, 628, 476, 1220, 279, 267, 476, 6734, 281, 1704, 6751, 454, 332, 337, 9735, 454, 32621, 1384, 23192, 17397, 676, 27526, 305, 344, 577, 309, 656, 601, 454, 8923, 2953, 803, 952, 594, 6415, 4636, 563, 10674, 2517, 328, 4097, 6745, 514, 2988, 545, 2593, 270, 273, 3534, 275, 332, 1889, 27970, 692, 28557, 630, 817, 11167, 6111, 547, 476, 272, 8918, 1747, 568, 2838, 264, 0, 258, 8212, 256, 2439, 14006, 539, 676, 16317, 7628, 513, 2235, 639, 2773, 267, 513, 476, 10463, 269, 272, 10275, 326, 1480, 666, 12061, 4252, 568, 8929, 856, 540, 513, 476, 866, 269, 276, 2173, 17489, 666, 12061, 269, 1403, 519, 1480, 666, 12061, 4252, 22939, 476, 271, 269, 280, 2641, 521, 538, 519, 666, 12061, 267, 3313, 519, 3328, 2121, 3196, 25116, 593, 1864, 538, 519, 22902, 540, 519, 666, 12061, 780, 1892, 8212, 8627, 910, 692, 14367, 3328, 3432, 332, 538, 519, 666, 12061, 568, 454, 309, 822, 815, 476, 866, 269, 276, 270, 271, 269, 280, 2641, 815, 476, 2641, 269, 1704, 544, 4882, 692, 763, 14827, 6991, 568, 7466, 602, 267, 610, 454, 309, 325, 1400, 815, 476, 5655, 269, 3374, 544, 4882, 692, 2690, 519, 1035, 743, 3130, 2676, 320, 815, 966, 325, 1400, 270, 271, 269, 280, 2641, 338, 815, 476, 5379, 269, 271, 544, 4882, 317, 273, 692, 763, 3328, 3196, 630, 514, 1007, 27971, 264, 568, 519, 2527, 630, 514, 4846, 264, 2053, 519, 10231, 780, 1012, 5381, 5999, 692, 320, 666, 12061, 609, 513, 2527, 540, 476, 272, 267, 4335, 11899, 17991, 513, 476, 278, 11899, 666, 12061, 4252, 2059, 922, 476, 274, 332, 1279, 22902, 538, 476, 271, 269, 27888, 7643, 513, 264, 20412, 622, 519, 10231, 540, 519, 666, 12061, 4252, 536, 264, 1492, 3196, 9117, 593, 519, 666, 12061, 4252, 524, 264, 519, 5114, 3196, 25116, 593, 519, 666, 12061, 546, 264, 1492, 6693, 273, 269, 12693, 8212, 692, 7628, 513, 2235, 639, 2773, 267, 513, 476, 4037, 10275, 326, 1480, 666, 12061, 4252, 568, 8929, 856, 540, 606, 476, 866, 2173, 17489, 666, 12061, 269, 1403, 519, 1480, 666, 12061, 4252, 22939, 476, 271, 269, 11463, 521, 538, 519, 666, 12061, 267, 3313, 519, 3328, 2121, 3196, 25116, 593, 1864, 538, 519, 22902, 540, 519, 666, 12061, 454, 274, 269, 12693, 8212, 692, 7628, 513, 2235, 639, 2773, 267, 513, 476, 4037, 10275, 326, 1480, 666, 12061, 4252, 568, 8929, 856, 540, 606, 476, 866, 2173, 17489, 666, 12061, 269, 1403, 519, 1480, 666, 12061, 4252, 22939, 476, 271, 269, 11463, 521, 538, 519, 666, 12061, 267, 3313, 519, 3328, 2121, 3196, 25116, 593, 1864, 538, 519, 22902, 540, 519, 666, 12061, 454, 275, 269, 12693, 6323, 692, 7628, 513, 2235, 639, 2773, 267, 513, 476, 6858, 269, 273, 10275, 326, 1480, 666, 12061, 4252, 568, 8929, 856, 540, 513, 476, 1704, 269, 272, 2173, 17489, 666, 12061, 269, 1403, 519, 1480, 666, 12061, 4252, 22939, 476, 271, 269, 6507, 273, 521, 538, 519, 666, 12061, 267, 3313, 519, 3328, 2121, 3196, 25116, 593, 1864, 538, 519, 22902, 540, 519, 666, 12061, 563, 276, 269, 12693, 8212, 692, 3963, 1281, 513, 666, 12061, 4252, 8929, 689, 513, 666, 12061, 609, 513, 1279, 22902, 2951, 5488, 982, 519, 1482, 666, 12061, 4252, 8929, 689, 513, 666, 12061, 609, 513, 10156, 22902, 888, 277, 269, 12693, 6323, 692, 7628, 513, 2235, 639, 2773, 267, 513, 476, 10619, 269, 279, 10275, 326, 1480, 666, 12061, 4252, 568, 8929, 856, 540, 513, 476, 1240, 269, 271, 2173, 17489, 666, 12061, 269, 1403, 519, 1480, 666, 12061, 4252, 22939, 476, 271, 269, 279, 4510, 521, 538, 519, 666, 12061, 267, 3313, 519, 3328, 2121, 3196, 25116, 593, 1864, 538, 519, 22902, 540, 519, 666, 12061, 563, 278, 269, 12693, 6323, 692, 4263, 513, 2235, 639, 267, 513, 1480, 666, 12061, 4252, 568, 8929, 689, 513, 666, 12061, 693, 476, 1428, 332, 4882, 693, 606, 5086, 540, 476, 2412, 5232, 689, 8880, 269, 2701, 3762, 519, 666, 12061, 476, 272, 332, 1055, 519, 2666, 543, 3338, 593, 519, 1259, 1524, 538, 513, 2121, 476, 273, 332, 1055, 519, 2666, 269, 14419, 1200, 8880, 12761, 563, 279, 269, 12693, 8212, 692, 7628, 513, 2235, 639, 2773, 267, 513, 476, 5038, 10275, 326, 1480, 666, 12061, 4252, 568, 8929, 856, 540, 606, 476, 1704, 2173, 17489, 666, 12061, 269, 1403, 519, 1480, 666, 12061, 4252, 22939, 476, 271, 269, 4200, 521, 538, 519, 666, 12061, 267, 3313, 519, 3328, 2121, 3196, 25116, 593, 1864, 538, 519, 22902, 540, 519, 666, 12061, 563, 280, 269, 12693, 8212, 692, 7628, 513, 2235, 639, 2773, 267, 513, 476, 5038, 10275, 326, 1480, 666, 12061, 4252, 568, 8929, 856, 540, 606, 476, 1704, 2173, 17489, 666, 12061, 269, 1403, 519, 1480, 666, 12061, 4252, 22939, 476, 271, 269, 4200, 521, 538, 519, 666, 12061, 267, 3313, 519, 3328, 2121, 3196, 25116, 593, 1864, 538, 519, 22902, 540, 519, 666, 12061, 563, 1015, 269, 12693, 8212, 692, 7628, 513, 2235, 639, 2773, 267, 513, 476, 6507, 10275, 326, 1480, 666, 12061, 4252, 568, 8929, 856, 540, 606, 476, 736, 2173, 17489, 666, 12061, 269, 1403, 519, 1480, 666, 12061, 4252, 22939, 476, 271, 269, 11011, 521, 538, 519, 666, 12061, 267, 3313, 519, 3328, 2121, 3196, 25116, 593, 1864, 538, 519, 22902, 540, 519, 666, 12061, 780, 5415, 5381, 5999, 0, 258, 9046, 5590, 476, 279, 1763, 760, 597, 2218, 1107, 4208, 649, 991, 12920, 18331, 692, 2171, 991, 24562, 1317, 938, 1973, 3112, 4163, 2614, 15702, 744, 273, 547, 1489, 938, 1591, 2534, 269, 2334, 779, 519, 2110, 2626, 269, 2913, 779, 2263, 513, 11050, 2626, 780, 1012, 476, 279, 269, 272, 1215, 1454, 744, 273, 666, 23271, 883, 1973, 2496, 2171, 666, 2203, 1018, 568, 2469, 593, 538, 519, 31276, 10008, 1210, 513, 581, 6033, 4904, 609, 1216, 269, 5262, 4288, 540, 3154, 6675, 689, 519, 2011, 883, 519, 1216, 12462, 4707, 883, 3070, 14615, 610, 519, 9258, 12462, 5765, 856, 540, 3070, 14615, 568, 711, 3274, 513, 1599, 540, 519, 5834, 13506, 540, 519, 3154, 1063, 519, 2011, 543, 519, 1216, 1317, 575, 13293, 723, 1114, 1151, 889, 1988, 538, 3070, 780, 13420, 10329, 630, 15290, 606, 3160, 2179, 540, 3154, 568, 2469, 883, 543, 856, 540, 3070, 264, 568, 24018, 676, 519, 1739, 3830, 692, 2330, 259, 322, 29192, 9507, 346, 302, 318, 273, 348, 815, 554, 29192, 9507, 346, 302, 318, 273, 348, 623, 29192, 9507, 346, 302, 318, 273, 6525, 14204, 1892, 3230, 322, 29192, 9507, 346, 302, 318, 273, 6525, 568, 519, 5834, 540, 744, 273, 538, 519, 1216, 454, 1892, 3230, 303, 29192, 9507, 346, 302, 318, 273, 6525, 568, 519, 9864, 2604, 540, 744, 273, 538, 2011, 630, 810, 513, 2268, 540, 5834, 994, 1892, 3230, 327, 29192, 9507, 346, 302, 318, 273, 6525, 568, 8361, 779, 32610, 11664, 630, 528, 968, 6247, 656, 540, 8167, 1275, 892, 6393, 14722, 538, 1114, 4610, 723, 1114, 2081, 540, 11589, 519, 2078, 1063, 3230, 322, 29192, 9507, 346, 302, 318, 273, 6525, 543, 3230, 303, 29192, 9507, 346, 302, 318, 273, 6525, 865, 596, 949, 2244, 593, 513, 1357, 2985, 610, 513, 1837, 602, 20475, 519, 3586, 538, 1945, 899, 6695, 2765, 346, 272, 2410, 322, 29192, 9507, 346, 302, 318, 273, 24995, 610, 1256, 513, 10155, 1652, 3586, 269, 594, 899, 713, 1259, 585, 17550, 1317, 621, 15450 ]

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

[ 0, 2252, 596, 2811, 7487, 713, 5048, 267, 621, 1797, 649, 2811, 2348, 8373, 15205, 5007, 2200, 593, 938, 3896, 780, 2252, 596, 2811, 3297, 513, 1357, 6882, 267, 5225, 1118, 2386, 602, 519, 11890, 2608, 269, 330, 770, 1738, 3820, 543, 2608, 269, 330, 553, 663, 7901, 3820, 616, 796, 4565, 18088, 780, 2162, 6092, 281, 4569, 630, 10064, 17584, 264, 910, 2296, 285, 16215, 476, 1015, 692, 8893, 476, 274, 281, 24234, 8424, 692, 258, 7388, 29232, 1299, 24045, 7285, 692, 9596, 827, 14911, 543, 24045, 7285, 267, 607, 1134, 607, 519, 8847, 540, 11105, 543, 2786, 7285, 269, 23095, 676, 6428, 16679, 780, 1012, 21763, 547, 6443, 519, 6643, 2496, 1892, 6496, 4896, 723, 1022, 554, 2931, 585, 19551, 713, 594, 723, 513, 1449, 593, 11016, 454, 1892, 8347, 713, 912, 4467, 921, 29232, 7285, 1039, 909, 547, 476, 3445, 4113, 454, 268, 1383, 281, 476, 1428, 4113, 1299, 476, 4037, 4113, 616, 14911, 454, 263, 611, 4765, 1927, 267, 789, 1106, 513, 1318, 5086, 994, 7146, 8894, 11045, 11915, 7285, 1039, 909, 547, 476, 5197, 4113, 454, 268, 1383, 281, 476, 2004, 4113, 1299, 476, 9873, 4113, 616, 24045, 454, 263, 611, 4765, 1927, 267, 789, 1106, 513, 2786, 1899, 2020, 10521, 5013, 912, 263, 272, 264, 476, 3445, 4113, 2501, 1354, 476, 5197, 4113, 593, 519, 1297, 1899, 454, 263, 273, 264, 834, 290, 257, 2501, 1354, 834, 306, 257, 538, 519, 9904, 692, 3445, 4113, 4422, 609, 834, 290, 257, 585, 14911, 454, 810, 14911, 7285, 1039, 909, 547, 476, 3445, 4113, 692, 5197, 4113, 4422, 609, 834, 306, 257, 585, 24045, 454, 810, 24045, 7285, 1039, 909, 547, 476, 5197, 4113, 692, 28775, 713, 2337, 2336, 1892, 1684, 14911, 543, 24045, 7285, 723, 547, 581, 11105, 888, 1892, 1358, 1810, 1405, 723, 547, 581, 11105, 855, 952, 789, 616, 789, 1106, 513, 2786, 1899, 593, 519, 5011, 602, 789, 1810, 1405, 2671, 563, 1892, 9502, 540, 5276, 6292, 888, 1892, 5565, 7285, 616, 5276, 952, 789, 616, 11105, 7285, 4646, 676, 1079, 12969, 532, 3515, 269, 589, 2786, 5086, 568, 476, 5197, 5232, 865, 476, 273, 5276, 8424, 540, 7285, 1590, 2141, 1039, 909, 547, 476, 5197, 5232, 780, 28775, 602, 713, 568, 5363, 547, 579, 454, 1892, 1684, 649, 723, 4408, 585, 7285, 602, 1039, 909, 547, 476, 17734, 543, 476, 11740, 5232, 888, 1892, 1703, 616, 4867, 1100, 2012, 585, 476, 273, 7285, 602, 1039, 909, 547, 476, 17734, 5232, 855, 1401, 921, 29232, 27449, 616, 519, 2012, 585, 513, 6292, 540, 7285, 602, 8591, 909, 547, 476, 11740, 5232, 267, 1256, 952, 606, 5086, 568, 811, 982, 476, 5197, 5232, 692, 1892, 666, 596, 2995, 803, 513, 8945, 585, 19551, 647, 921, 618, 800, 543, 5360, 2939, 800, 7285, 563, 1892, 634, 15864, 1259, 547, 3314, 519, 3017, 1063, 24045, 543, 14911, 7285, 568, 547, 946, 519, 4358, 5022, 540, 519, 1913, 2933, 269, 6056, 540, 519, 834, 290, 257, 607, 513, 7944, 267, 799, 19595, 596, 540, 513, 1318, 5086, 267, 799, 568, 476, 3445, 5232, 269, 6056, 540, 519, 834, 306, 257, 607, 2786, 267, 799, 19595, 596, 540, 513, 2786, 5086, 267, 799, 568, 476, 5197, 5232, 780, 28775, 713, 2337, 2433, 994, 1892, 1924, 875, 798, 596, 917, 952, 922, 14911, 454, 1892, 1403, 1079, 7285, 1039, 909, 547, 476, 3445, 5232, 1287, 789, 616, 14911, 267, 952, 789, 1039, 909, 547, 476, 5197, 5232, 789, 789, 616, 24045, 454, 1892, 1924, 267, 14911, 568, 476, 3445, 5232, 269, 1656, 7110, 568, 476, 5197, 5232, 888, 1892, 1879, 7285, 1039, 909, 547, 476, 3445, 5232, 621, 568, 14911, 267, 1482, 4422, 585, 24045, 267, 855, 621, 2115, 547, 3160, 476, 5197, 563, 1892, 1772, 972, 513, 3381, 827, 519, 5086, 8424, 267, 4481, 286, 5221, 594, 1810, 1405, 3314, 7487, 4376, 827, 621, 563, 1892, 594, 1589, 713, 568, 519, 1152, 835, 269, 589, 6292, 568, 513, 1895, 540, 1079, 269, 1924, 513, 6292, 540, 7285, 815, 1079, 7285, 269, 0, 272, 1315, 476, 2190, 692, 258, 31592, 10613, 910, 17948, 623, 8976, 19809, 692, 301, 10179, 673, 10613, 269, 17976, 476, 280, 1107, 22039, 5811, 630, 6748, 674, 10499, 264, 538, 4223, 18350, 3220, 29871, 29928, 3427, 540, 15379, 543, 18329, 7177, 2160, 540, 3502, 1154, 5069, 269, 4653, 779, 11762, 269, 2859, 4223, 18350, 22039, 5811, 1548, 621, 568, 1299, 1946, 649, 798, 621, 6489, 12976, 22039, 5811, 538, 4223, 18350, 780, 296, 993, 519, 8227, 267, 610, 606, 8665, 17101, 547, 957, 593, 15773, 540, 519, 8227, 267, 540, 519, 10677, 539, 960, 4330, 780, 1012, 17948, 6215, 1938, 6011, 827, 1412, 31592, 10613, 262, 910, 1166, 18319, 692, 12606, 8889, 281, 12474, 593, 519, 19534, 568, 3177, 547, 596, 6789, 4959, 585, 707, 1344, 543, 2123, 946, 543, 949, 711, 581, 4421, 1315, 13931, 1315, 3838, 593, 824, 7270, 1510, 3478, 9844, 689, 922, 2278, 269, 4407, 23842, 267, 952, 585, 930, 2601, 596, 616, 711, 2111, 547, 4647, 513, 6881, 267, 519, 17404, 949, 723, 25216, 519, 3758, 689, 741, 7746, 780, 268, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 661, 715, 667, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 20620, 303, 19948, 3690, 5296, 692, 2162, 31592, 10613, 692, 299, 15145, 476, 280, 1107, 22039, 5811, 630, 6748, 674, 10499, 264, 538, 4223, 18350, 692, 7804, 29871, 29928, 692, 18662, 540, 15379, 543, 18329, 7177, 692, 17206, 540, 3502, 1154, 5069, 692, 1892, 2859, 4223, 18350, 692, 1892, 22039, 5811, 692, 1892, 1548, 621, 568, 1299, 1946, 649, 798, 621, 692, 1892, 6489, 12976, 692, 1892, 22039, 5811, 538, 4223, 18350, 692, 1892, 769, 519, 2063, 2978, 649, 1223, 723, 3177, 4729, 2140, 543, 1535, 543, 586, 7852, 10297, 1384, 260, 1410, 1356, 696, 689, 4009, 5951, 7097, 3758, 692, 7120, 6025, 267, 8999, 32007, 27583, 263, 8072, 290, 516, 566, 540, 513, 12384, 23027, 685, 2020, 343, 16932, 263, 8072, 339, 685, 2020, 29786, 263, 8072, 343, 6025, 264, 685, 2020, 1892, 1677, 3489, 606, 6207, 1871, 610, 1950, 9588, 540, 513, 22185, 610, 5119, 1297, 610, 4756, 946, 2612, 692, 1892, 2612, 8987, 273, 264, 273, 692, 1892, 952, 596, 4076, 3989, 1775, 284, 6912, 8987, 272, 264, 1287, 692, 11274, 263, 272, 266, 328, 264, 272, 269, 29300, 273, 692, 1892, 952, 596, 4076, 3989, 1535, 15871, 274, 1287, 692, 11274, 3287, 264, 274, 692, 1892, 4223, 18350, 814, 6266, 540, 5432, 13004, 3252, 1384, 1892, 5609, 267, 5430, 267, 16009, 692, 1892, 2845, 267, 2845, 273, 267, 2845, 1015, 267, 1163, 692, 1892, 2845, 568, 2067, 2845, 630, 328, 4318, 269, 3490, 552, 2020, 1892, 5430, 327, 267, 5609, 327, 267, 16009, 327, 692, 1892, 27353, 692, 1892, 1656, 1447, 5432, 3252, 552, 3052, 18325, 267, 521, 4532, 692, 1892, 2290, 1455, 267, 543, 1939, 14260, 14021, 267, 1505, 649, 946, 568, 22039, 5811, 692, 1892, 634, 1034, 1455, 4305, 568, 7900, 22263, 543, 769, 2091, 22263, 3690, 13257, 692, 1892, 1644, 547, 22263, 10022, 267, 855, 1810, 1406, 991, 5365, 547, 581, 13350, 692, 1892, 1411, 3580, 798, 891, 538, 28686, 14409, 1985, 1032, 267, 865, 1810, 1406, 5855, 827, 519, 3069, 269, 1280, 9623, 1384, 1892, 22263, 17992, 540, 554, 630, 339, 264, 568, 670, 630, 325, 264, 1141, 1384, 1892, 769, 2091, 22263, 17992, 540, 670, 630, 325, 264, 568, 554, 630, 339, 264, 1141, 1384, 14728, 284, 6912, 8987, 272, 264, 6540, 1892, 22263, 5811, 692, 1892, 901, 568, 513, 4480, 799, 3217, 513, 1239, 538, 519, 942, 6389, 543, 2488, 922, 4908, 8552, 692, 1892, 634, 11201, 3217, 721, 1394, 1586, 692, 1892, 1284, 723, 513, 2048, 293, 537, 8175, 17992, 6292, 685, 692, 1892, 769, 4702, 3252, 1419, 6719, 676, 13113, 5036, 540, 15768, 2418, 552, 3052, 269, 535, 6025, 264, 2630, 1223, 581, 6719, 676, 519, 1305, 540, 15768, 2798, 630, 16210, 2073, 25206, 264, 2630, 692, 1892, 4635, 971, 15768, 1239, 513, 15768, 22263, 17992, 630, 5263, 307, 264, 666, 581, 3989, 1384, 1892, 6156, 14260, 14021, 630, 301, 273, 264, 950, 7229, 3551, 569, 692, 1892, 16258, 22263, 17992, 630, 293, 10499, 264, 1939, 525, 667, 10499, 1210, 1360, 3608, 5690, 692, 1892, 3096, 2164, 540, 3105, 1608, 14369, 547, 2569, 1297, 540, 4238, 692, 1892, 666, 1205, 547, 715, 8421, 273, 301, 4238, 267, 865, 585, 715, 284, 9083, 275, 519, 674, 10499, 568, 4114, 269, 476, 1911, 2053, 5488, 982, 2786, 667, 10499, 692, 1892, 1419, 715, 2838, 547, 581, 606, 8870, 1379, 540, 1079, 630, 328, 4318, 269, 476, 273, 267, 275, 267, 279, 267, 1626, 267, 3953, 267, 2507, 2020, 1892, 11109, 5340, 519, 2079, 649, 666, 692, 1892, 14419, 19961, 692, 1892, 17179, 18001, 1344, 692, 1892, 13575, 1404, 1472, 609, 519, 5365, 692, 1892, 898, 666, 581, 2944, 538, 595, 267, 855, 621, 568, 513, 2603, 540, 960, 692, 1892, 2422, 513, 3044, 5399, 610, 513, 10189, 899, 4223, 18350, 692, 1892, 2659, 1985, 2978, 786, 4125, 596, 1210, 4223, 18350, 779, 535, 1111, 1599, 692, 260, 13678, 921, 1383, 540, 674, 10499, 946, 692, 260, 3553, 1154, 909, 519, 5365, 692, 339, 284, 271, 281, 271, 269, 9826, 281, 271, 269, 277, 16963, 343, 284, 7562, 263, 273, 265, 7032, 265, 2412, 265, 339, 11924, 7562, 263, 273, 265, 7032, 265, 1911, 265, 339, 264, 4939, 2412, 21636, 543, 476, 1911, 21636, 20534, 6329, 3773, 692, 260, 8681, 333, 4433, 1125, 6025, 4297, 3947, 606, 5044, 540, 7363, 7856, 4351, 13366, 692, 260, 602, 568, 519, 1482, 2450, 607, 512, 692, 7120, 6025, 263, 272, 281, 2004, 1070, 344, 263, 272, 281, 2004, 4297, 4939, 30831, 1101, 476, 2004, 2798, 1775, 4318, 269, 547, 476, 271, 269, 4962, 521, 692, 27583, 3488, 2412, 21636, 7132, 476, 1911, 21636, 18348, 539, 676, 6846, 17210, 343, 16932, 3488, 5503, 630, 572, 6948, 264, 17210, 335, 1021, 263, 273, 264, 4939, 11445, 1080, 476, 273, 7643, 1354, 11173, 692, 260, 1492, 535, 1111, 543, 3977, 692, 312, 284, 742, 339, 12169, 267, 24423, 5148, 4939, 704, 13257, 519, 535, 1111, 269, 8074, 476, 24423, 2609, 910, 1379, 540, 476, 273, 630, 273, 317, 280, 2020, 13695, 344, 284, 312, 30818, 935, 329, 263, 312, 8358, 24423, 16963, 260, 312, 786, 723, 1950, 2609, 269, 634, 1379, 8552, 568, 1483, 692, 260, 810, 798, 606, 3693, 676, 3693, 8691, 676, 1950, 31669, 692, 325, 284, 1911, 271, 16732, 271, 281, 16348, 8358, 24423, 16963, 7120, 6600, 267, 13695, 344, 263, 272, 281, 27038, 4297, 4939, 933, 616, 1152, 5461, 538, 3368, 519, 1239, 2798, 692, 260, 553, 519, 1482, 1344, 568, 3177, 538, 519, 2034, 3368, 540, 12877, 344, 692, 27583, 3488, 293, 15968, 1543, 540, 18348, 539, 5365, 17210, 343, 16932, 3488, 293, 15968, 630, 13703, 264, 17210, 1892, 1284, 1419, 4019, 513, 2048, 30720, 685, 547, 519, 1239, 780, 1892, 901, 3274, 1797, 2921, 519, 2179, 649, 1616, 689, 519, 1239, 6908, 692, 1892, 26759, 692, 763, 6885, 568, 6410, 2059, 519, 1239, 282, 649, 1685, 519, 674, 10499, 593, 713, 6885, 539, 1239, 692, 1892, 1284, 1349, 519, 1239, 3274, 676, 2542, 1239, 1063, 513, 1376, 543, 9096, 1871, 692, 1892, 538, 1198, 649, 4019, 513, 14328, 6885, 692, 1892, 901, 2705, 3123, 2042, 540, 19944, 340, 885, 267, 607, 3254, 538, 519, 1985, 13472, 692, 4322, 19944, 340, 885, 2014, 6959, 538, 938, 4908, 2079, 269, 1677, 2057, 713, 649, 946, 513, 6885, 602, 2048, 339, 3639, 685, 693, 519, 7475, 692, 1892, 634, 1034, 1455, 3070, 568, 547, 946, 2901, 30567, 610, 30623, 532, 8837, 692, 1892, 3657, 3274, 25482, 30518, 267, 26987, 547, 581, 519, 8700, 540, 519, 6885, 1031, 630, 514, 3732, 2798, 2020, 1892, 1358, 8428, 1152, 538, 519, 3903, 540, 19569, 350, 692, 1892, 30567, 9847, 19569, 350, 815, 476, 271, 269, 276, 30623, 532, 9847, 19569, 350, 815, 476, 271, 269, 7918, 692, 22933, 350, 910, 630, 272, 268, 19569, 350, 3738, 6523, 263, 273, 265, 7032, 265, 328, 14370, 333, 268, 272, 4297, 6902, 476, 271, 283, 328, 283, 333, 692, 271, 6902, 6382, 692, 3495, 25883, 1892, 634, 6882, 14170, 530, 9217, 264, 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 ]

[ 540, 454, 1892, 22391, 476, 736, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 736, 10300, 1206, 593, 1533, 15595, 1206, 10300, 1154, 2829, 2027, 26699, 1533, 454, 1892, 22391, 476, 2641, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 2641, 10300, 1206, 593, 1533, 593, 3403, 10300, 1206, 593, 3403, 11997, 281, 4982, 2526, 1836, 281, 13673, 291, 5508, 11550, 29996, 454, 1892, 22391, 476, 2420, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 2420, 2349, 1678, 2389, 1901, 10300, 1154, 1966, 18452, 281, 307, 1005, 10724, 7726, 281, 9989, 327, 5306, 950, 3323, 609, 513, 10145, 11746, 286, 4856, 22046, 532, 1893, 912, 1892, 22391, 476, 2537, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 2537, 14497, 281, 630, 29734, 2389, 1901, 10300, 1154, 1966, 568, 5667, 565, 15344, 264, 19577, 281, 21079, 630, 15595, 1154, 1966, 264, 547, 630, 29734, 2389, 1901, 1966, 264, 568, 3768, 1815, 22421, 454, 1892, 22391, 476, 2190, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 2190, 5463, 3187, 585, 962, 2464, 12971, 10145, 2389, 1901, 1966, 1232, 3187, 5463, 3187, 15253, 1393, 22159, 962, 2464, 12971, 9717, 519, 5786, 267, 1403, 568, 1232, 22421, 267, 1287, 568, 1232, 22421, 589, 27171, 256, 2094, 568, 3768, 1815, 22421, 16199, 1154, 9046, 5463, 3187, 454, 1892, 22391, 476, 1839, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 1839, 30770, 22159, 1284, 1152, 991, 547, 1628, 519, 5786, 281, 1924, 602, 912, 1892, 22391, 476, 2918, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 2918, 1100, 9811, 3503, 593, 11746, 570, 1901, 568, 10145, 286, 14840, 609, 3403, 20472, 689, 2433, 1403, 10300, 1206, 1287, 26699, 20504, 543, 26699, 454, 1892, 22391, 476, 2767, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 2767, 10300, 1206, 950, 3323, 593, 10145, 11746, 10300, 1206, 593, 3403, 1100, 9811, 3503, 593, 11746, 570, 1901, 568, 10145, 286, 14840, 609, 3403, 20504, 543, 26699, 454, 1892, 22391, 476, 2764, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 2764, 13673, 291, 5508, 11550, 29996, 10300, 1206, 950, 3323, 593, 10145, 11746, 10300, 1206, 593, 3403, 4982, 2526, 1836, 912, 1892, 22391, 476, 3066, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 3066, 1403, 281, 513, 281, 5678, 568, 4389, 547, 536, 281, 5678, 568, 3768, 1815, 22421, 3973, 281, 568, 3768, 1815, 22421, 14497, 630, 11437, 476, 273, 2567, 19577, 281, 4635, 519, 1232, 3187, 585, 1628, 519, 1232, 3187, 585, 14597, 568, 1232, 22421, 2552, 2784, 2109, 256, 3973, 568, 1232, 22421, 454, 1892, 22391, 476, 1789, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 1789, 14597, 568, 1232, 22421, 5463, 3187, 585, 3398, 7947, 630, 327, 5306, 994, 1892, 22391, 476, 4029, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 4029, 14597, 568, 1232, 22421, 5463, 3187, 585, 3398, 7947, 630, 327, 5306, 264, 3973, 568, 1232, 22421, 630, 933, 723, 8810, 713, 538, 3105, 1362, 264, 7947, 3398, 630, 327, 5306, 264, 5463, 3187, 585, 12971, 962, 2464, 12971, 454, 1892, 22391, 476, 3953, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 3953, 5463, 3187, 585, 5463, 3187, 585, 12337, 3398, 7947, 3398, 7947, 630, 327, 5306, 264, 18452, 5569, 22159, 1403, 568, 1232, 22421, 1287, 649, 666, 1628, 281, 12164, 15045, 4696, 8453, 256, 962, 2464, 12971, 454, 1892, 22391, 476, 3451, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 3451, 5463, 3187, 585, 5463, 3187, 585, 12337, 3398, 7947, 3398, 7947, 630, 327, 5306, 264, 18452, 5569, 22159, 13673, 291, 5508, 11550, 29996, 12164, 15045, 4696, 8453, 256, 17968, 281, 12971, 962, 2464, 12971, 454, 1892, 22391, 476, 4097, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 4097, 9866, 3569, 281, 769, 1931, 547, 6961, 602, 930, 1893, 568, 3768, 1815, 22421, 649, 1152, 991, 547, 2569, 930, 1634, 3768, 1815, 22421, 1893, 547, 610, 547, 630, 1492, 648, 332, 4528, 476, 272, 264, 630, 1492, 648, 332, 4528, 476, 273, 994, 1892, 22391, 476, 3374, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 3374, 25613, 1815, 22421, 10819, 585, 570, 1005, 13876, 14184, 4654, 568, 8900, 286, 568, 2834, 286, 814, 2450, 476, 273, 286, 2913, 581, 513, 570, 1005, 14092, 1061, 762, 1893, 2353, 891, 616, 3768, 1815, 22421, 2042, 454, 1892, 22391, 476, 3607, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 3607, 568, 8900, 286, 568, 2834, 286, 814, 2450, 476, 273, 286, 2913, 581, 513, 570, 1005, 14092, 1061, 762, 1893, 454, 1892, 22391, 476, 4391, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 4391, 2506, 27679, 1893, 1966, 18452, 281, 570, 1005, 10724, 7726, 281, 296, 9895, 27679, 286, 4856, 22046, 532, 1893, 912, 1892, 22391, 476, 4343, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 4343, 14497, 281, 630, 24105, 25082, 1966, 568, 5667, 565, 15344, 264, 568, 3768, 1815, 22421, 19577, 281, 21079, 630, 332, 20047, 1222, 1966, 264, 547, 630, 24105, 1893, 1966, 994, 1892, 22391, 476, 4375, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 4375, 5463, 3187, 585, 962, 2464, 12971, 8900, 1966, 1232, 3187, 5463, 3187, 15253, 1393, 22159, 962, 2464, 12971, 9717, 519, 5786, 267, 952, 568, 1232, 22421, 267, 1287, 568, 1232, 22421, 15376, 1966, 1232, 3187, 589, 27171, 256, 2094, 568, 3768, 1815, 22421, 454, 1892, 22391, 476, 2412, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 2412, 30770, 22159, 1284, 1152, 991, 547, 1628, 519, 5786, 281, 1924, 602, 912, 1892, 22391, 476, 6078, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 6078, 3503, 593, 11746, 267, 543, 3244, 3634, 593, 3403, 570, 1901, 540, 3403, 5569, 24693, 7790, 20472, 689, 2433, 9811, 570, 1005, 10724, 20504, 9811, 454, 1892, 22391, 476, 5655, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 5655, 634, 1152, 2009, 7608, 5569, 17039, 4515, 269, 645, 20415, 910, 700, 24746, 5655, 30267, 269, 645, 20415, 910, 700, 24746, 5655, 3503, 593, 11746, 267, 543, 3244, 3634, 593, 3403, 24693, 7790, 9811, 570, 1005, 10724, 20504, 9811, 454, 1892, 22391, 476, 6246, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 6246, 24693, 1281, 711, 3398, 4515, 269, 645, 20415, 910, 700, 24746, 6246, 30267, 269, 645, 20415, 910, 700, 24746, 6246, 30267, 269, 645, 20415, 910, 700, 24746, 6246, 3503, 593, 11746, 267, 543, 3244, 3634, 593, 3403, 24693, 7790, 9811, 570, 1005, 10724, 20504, 9811, 454, 1892, 22391, 476, 4510, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 4510, 4475, 281, 24693, 4982, 2526, 1836, 281, 13673, 291, 5508, 11550, 29996, 454, 1892, 22391, 476, 3393, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 3393, 568, 8900, 286, 568, 2834, 286, 814, 2450, 476, 273, 286, 2913, 581, 513, 570, 1005, 14092, 1061, 762, 1893, 454, 1892, 22391, 476, 5379, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 5379, 8617, 1893, 1966, 18452, 281, 570, 1005, 10724, 7726, 281, 3674, 320, 2834, 1893, 286, 4856, 22046, 532, 1893, 912, 1892, 22391, 476, 5325, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 5325, 14497, 281, 630, 10585, 1893, 1966, 568, 5667, 565, 15344, 264, 568, 3768, 1815, 22421, 19577, 281, 21079, 630, 332, 20047, 1222, 1966, 264, 547, 630, 10585, 1893, 1966, 994, 1892, 22391, 476, 4366, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 4366, 5463, 3187, 585, 962, 2464, 12971, 2834, 1966, 1232, 3187, 5463, 3187, 15253, 1393, 22159, 962, 2464, 12971, 9717, 519, 5786, 267, 1403, 568, 1232, 22421, 267, 1287, 568, 1232, 22421, 15376, 1966, 1232, 3187, 589, 27171, 256, 2094, 568, 3768, 1815, 22421, 454, 1892, 22391, 476, 5392, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 5392, 30770, 22159, 1284, 1152, 991, 547, 1628, 519, 5786, 281, 1924, 602, 912, 1892, 22391, 476, 2004, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 2004, 570, 1901, 540, 3403, 5569, 20472, 689, 2433, 4515, 269, 645, 20415, 910, 700, 24746, 2004, 30267, 269, 645, 20415, 910, 700, 24746, 2004, 30267, 269, 645, 20415, 910, 700, 24746, 2004, 30267, 269, 645, 20415, 910, 700, 24746, 2004, 3503, 593, 11746, 267, 543, 3244, 3634, 593, 3403, 20504, 24693, 7790, 9811, 570, 1005, 10724, 454, 1892, 22391, 476, 7906, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 7906, 24693, 1281, 711, 3398, 711, 2834, 2834, 4515, 269, 645, 20415, 910, 700, 24746, 7906, 30267, 269, 645, 20415, 910, 700, 24746, 7906, 30267, 269, 645, 20415, 910, 700, 24746, 7906, 30267, 269, 645, 20415, 910, 700, 24746, 7906, 30267, 269, 645, 20415, 910, 700, 24746, 7906, 3503, 593, 11746, 267, 543, 3244, 3634, 593, 3403, 20504, 24693, 7790, 9811, 570, 1005, 10724, 454, 1892, 22391, 476, 7367, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 7367, 4475, 281, 24693, 4982, 2526, 1836, 281, 13673, 291, 5508, 11550, 29996, 568, 711, 2834, 454, 1892, 22391, 476, 7871, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 7871, 568, 8900, 286, 568, 2834, 286, 814, 2450, 476, 273, 286, 2913, 581, 513, 570, 1005, 14092, 1061, 762, 1893, 454, 1892, 22391, 476, 7918, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 7918, 6496, 723, 2450, 476, 273, 630, 18314, 12673, 21663, 12025, 273, 1893, 1966, 18452, 281, 570, 1005, 10724, 7726, 281, 4856, 22046, 532, 1893, 912, 1892, 22391, 476, 4649, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 4649, 14497, 281, 630, 21653, 273, 1893, 1966, 568, 5667, 565, 15344, 264, 568, 3768, 1815, 22421, 19577, 281, 21079, 630, 332, 20047, 1222, 1966, 264, 547, 630, 21653, 476, 273, 1893, 1966, 994, 1892, 22391, 476, 6321, 454, 1892, 4515, 269, 645, 20415, 910, 700, 24746, 6321, 5463, 3187, 585, 962, 2464, 12971, 2450, 273, 1966, 1232, 3187, 5463, 3187, 15253, 1393, 22159, 962, 2464, 12971, 9717, 519, 5786, 267, 1403, 568, 1232, 22421, 267, 1287, 568, 1232, 22421, 15376, 1966, 1232, 3187, 589, 27171, 256, 2094, 568, 3768, 1815, 22421, 454, 1892, 22391, 692, 27775, 2105, 0, 258, 5450, 600, 987, 19577, 25817, 692, 1012, 14497, 4630, 592, 573, 273, 692, 20373, 281, 1323, 11346, 11224, 922, 22185, 1587, 609, 835, 269, 630, 6944, 30744, 676, 28679, 267, 476, 1321, 5025, 1872, 268, 1220, 277, 264, 630, 6124, 6165, 568, 27209, 24355, 8269, 20309, 454, 10112, 1068, 542, 4630, 592, 573, 273, 630, 15855, 485, 2433, 21508, 489, 2340, 509, 370, 21508, 489, 9890, 630, 476, 272, 5788, 641, 15855, 485, 3738, 815, 15855, 485, 25589, 2162, 19577, 692, 3721, 14523, 4676, 20309, 454, 272, 4949, 268, 272, 322, 333, 476, 272, 17995, 21508, 480, 454, 273, 4630, 1998, 630, 630, 476, 272, 17995, 21508, 480, 31961, 15855, 485, 2433, 21508, 489, 2340, 509, 370, 21508, 489, 31961, 15855, 354, 17995, 21508, 489, 3738, 9890, 630, 630, 476, 272, 5788, 641, 15855, 485, 3738, 2048, 15855, 354, 3738, 815, 630, 476, 272, 5788, 630, 15855, 485, 31915, 3738, 3738, 12467, 274, 476, 272, 476, 273, 544, 335, 274, 534, 272, 630, 630, 15855, 485, 2433, 21508, 489, 2340, 509, 370, 21508, 489, 31961, 15855, 354, 17995, 21508, 489, 3738, 9890, 630, 630, 476, 272, 5788, 641, 15855, 485, 3738, 2048, 15855, 354, 3738, 815, 630, 476, 272, 5788, 630, 15855, 485, 31915, 3738, 3738, 12467, 275, 535, 325, 767, 337, 333, 630, 630, 15855, 485, 2433, 21508, 489, 2340, 509, 370, 21508, 489, 31961, 15855, 354, 17995, 21508, 489, 3738, 9890, 630, 15855, 485, 31915, 3738, 17995, 21508, 489, 12467, 276, 4949, 3620, 341, 332, 592, 573, 630, 630, 15855, 485, 31915, 3738, 17995, 21508, 489, 9890, 630, 476, 272, 5788, 630, 15855, 485, 31915, 3738, 3738, 815, 630, 15855, 485, 31915, 3738, 12467, 277, 476, 275, 476, 276, 861, 331, 630, 630, 15855, 485, 2433, 21508, 489, 2340, 509, 370, 21508, 489, 31961, 15855, 354, 17995, 21508, 489, 3738, 9890, 630, 476, 272, 5788, 630, 15855, 485, 31915, 3738, 3738, 815, 630, 15855, 485, 31915, 3738, 12467, 278, 476, 274, 476, 277, 552, 336, 339, 6113, 630, 630, 15855, 485, 2433, 21508, 489, 2340, 509, 370, 21508, 489, 31961, 15855, 354, 17995, 21508, 489, 3738, 9890, 630, 630, 476, 272, 5788, 641, 15855, 485, 3738, 2048, 15855, 354, 3738, 815, 630, 15855, 485, 31915, 3738, 12467, 279, 476, 278, 678, 531, 3234, 10216, 630, 15855, 485, 2433, 21508, 489, 2340, 509, 370, 21508, 489, 9890, 3980, 478 ]

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

[ 2569, 7577, 28521, 543, 30825, 563, 307, 516, 655, 777, 15873, 1107, 3883, 32697, 1107, 769, 713, 3381, 649, 946, 606, 9185, 476, 1001, 277, 10326, 24961, 610, 631, 6242, 545, 5750, 547, 17412, 21712, 21869, 648, 6455, 1239, 563, 26422, 10767, 560, 1109, 2419, 691, 1107, 3883, 32697, 1107, 769, 713, 3381, 649, 946, 606, 9185, 476, 1001, 277, 6129, 10767, 560, 5750, 547, 17412, 21712, 21869, 648, 6455, 1239, 563, 26422, 10767, 560, 1109, 2419, 691, 1107, 13600, 569, 16505, 6658, 1109, 1700, 769, 713, 3381, 649, 946, 606, 9185, 476, 1001, 277, 6129, 10767, 560, 5750, 547, 17412, 10116, 569, 543, 10865, 6455, 1239, 563, 307, 516, 655, 777, 1109, 2419, 691, 910, 27916, 4768, 656, 1107, 769, 713, 3381, 649, 946, 519, 590, 9331, 9281, 306, 3252, 547, 5965, 13962, 6455, 1239, 543, 1287, 17412, 519, 6455, 1239, 609, 513, 10326, 24961, 5750, 563, 29222, 6773, 15873, 1107, 769, 713, 3381, 649, 1397, 875, 547, 1711, 513, 1187, 6773, 5750, 799, 2982, 519, 3094, 852, 532, 540, 513, 7535, 540, 1810, 619, 689, 16548, 547, 19915, 1810, 619, 454, 30791, 22953, 3487, 2290, 1109, 1700, 769, 713, 3381, 649, 1397, 875, 547, 1265, 519, 1899, 1655, 17501, 513, 1305, 540, 536, 21725, 1239, 563, 30791, 22953, 3487, 5565, 1107, 769, 713, 3381, 649, 1397, 875, 519, 19954, 304, 267, 20793, 8008, 292, 267, 29206, 4753, 8976, 267, 543, 5254, 292, 312, 311, 3252, 666, 581, 1031, 547, 5659, 513, 5276, 9695, 563, 22091, 11228, 12618, 1109, 1700, 769, 713, 3381, 649, 1397, 875, 12825, 2208, 666, 581, 1031, 547, 3514, 536, 21725, 1239, 1141, 519, 3113, 4991, 588, 2465, 704, 563, 20175, 543, 24637, 4354, 1407, 1109, 1700, 769, 713, 3381, 649, 1397, 875, 547, 3514, 513, 3586, 22786, 610, 1379, 3747, 7455, 563, 21691, 8662, 24637, 1109, 10501, 1407, 1109, 1700, 769, 713, 3381, 649, 1397, 875, 547, 3514, 513, 13392, 3747, 7455, 1759, 593, 476, 274, 1239, 2798, 563, 13981, 1109, 10501, 1407, 1109, 1700, 769, 713, 3381, 649, 1397, 875, 547, 7447, 513, 4804, 7455, 799, 2982, 875, 519, 1770, 1942, 540, 6721, 513, 1587, 12772, 607, 811, 540, 519, 1587, 814, 1044, 3812, 563, 17357, 21975, 1109, 1700, 769, 713, 3381, 649, 1397, 875, 519, 1523, 540, 9756, 666, 2268, 519, 4222, 540, 519, 5276, 7681, 1063, 10865, 7024, 593, 3670, 13632, 563, 15307, 26305, 519, 29530, 540, 513, 14351, 1109, 1700, 769, 713, 3381, 649, 1397, 875, 519, 20793, 8008, 292, 1599, 666, 581, 1031, 547, 3533, 7447, 519, 5975, 553, 540, 1082, 13632, 563, 8802, 1833, 547, 519, 6399, 1109, 1700, 769, 713, 3381, 649, 1397, 875, 519, 2856, 540, 22953, 547, 519, 6399, 6941, 1946, 715, 14566, 6887, 602, 798, 1134, 538, 835, 4005, 2356, 798, 711, 798, 607, 1134, 519, 1985, 4005, 563, 300, 8221, 19105, 1109, 1700, 769, 713, 3381, 649, 1397, 875, 547, 17412, 10116, 569, 8835, 2593, 19614, 609, 513, 25021, 19105, 15873, 543, 5347, 856, 519, 7678, 543, 9004, 4005, 1275, 563, 23804, 513, 6153, 681, 8293, 1563, 1109, 1700, 769, 713, 3381, 649, 1397, 602, 606, 681, 8293, 1563, 1871, 540, 476, 271, 269, 4200, 568, 711, 8209, 602, 1434, 563, 23804, 519, 7454, 4354, 557, 547, 28546, 4578, 1109, 1700, 769, 713, 3381, 649, 1397, 875, 547, 3313, 799, 540, 519, 5276, 267, 12825, 267, 543, 1379, 7455, 1655, 3514, 513, 1979, 8686, 926, 622, 2078, 563, 21296, 22953, 3487, 2290, 1109, 1700, 769, 713, 3381, 649, 1397, 875, 2789, 9695, 568, 1031, 547, 3589, 2780, 6455, 829, 32728, 7534, 1759, 593, 2069, 543, 4747, 563, 21296, 22953, 3487, 5565, 1109, 1700, 769, 713, 3381, 649, 3136, 689, 519, 3105, 1383, 563, 291, 16244, 25159, 1109, 1700, 769, 713, 3381, 649, 1397, 875, 547, 6451, 12007, 4632, 971, 607, 4005, 1275, 547, 3589, 10081, 6455, 563, 7072, 547, 1230, 329, 2002, 5811, 1109, 1700, 769, 713, 3381, 649, 1397, 875, 8580, 2002, 2079, 666, 3313, 1018, 1587, 10305, 616, 12595, 676, 5561, 563, 3519, 329, 2002, 5811, 543, 22953, 1109, 1700, 769, 713, 3381, 649, 1397, 875, 606, 4890, 9695, 568, 1031, 547, 9414, 8580, 2002, 2079, 563, 19368, 9122, 623, 878, 532, 1109, 1700, 1103, 713, 3381, 649, 1397, 875, 8580, 2002, 2079, 568, 1031, 547, 7447, 519, 1871, 540, 1587, 10305, 563, 15239, 15035, 885, 543, 29568, 1109, 1700, 1109, 1103, 713, 3381, 649, 1397, 875, 547, 1331, 22357, 885, 543, 4205, 538, 513, 2789, 9695, 2079, 563, 1432, 24439, 715, 10621, 30581, 12736, 1107, 769, 713, 3381, 649, 946, 2789, 5276, 9695, 547, 1397, 1018, 2306, 715, 10621, 6887, 3094, 563, 304, 289, 28951, 1107, 769, 713, 3381, 649, 1397, 875, 547, 946, 2789, 9695, 547, 5702, 16977, 519, 715, 14566, 779, 1627, 289, 28951, 4542, 563, 16655, 3065, 700, 1731, 9685, 6480, 11582, 1107, 1109, 1103, 713, 3381, 649, 1397, 875, 26228, 700, 1731, 9685, 6480, 11582, 568, 1031, 547, 7447, 8579, 6724, 563, 19868, 2065, 22953, 1109, 1700, 1109, 1103, 713, 3381, 649, 1397, 26848, 9695, 666, 581, 1031, 547, 3589, 8200, 4632, 602, 666, 8263, 1079, 4093, 630, 7945, 607, 14970, 610, 12603, 1310, 606, 5106, 8094, 25991, 19868, 2065, 1109, 8802, 1833, 585, 6828, 539, 4578, 1107, 1109, 1103, 713, 3381, 649, 2491, 875, 547, 798, 1109, 8421, 2065, 1109, 2958, 1833, 609, 19882, 1239, 454, 763, 6489, 577, 650, 12039, 1109, 1700, 1109, 1103, 713, 3381, 649, 946, 2789, 9695, 609, 22357, 885, 543, 4205, 547, 9258, 11653, 519, 1950, 6489, 577, 650, 12039, 4542, 563, 303, 9438, 532, 29879, 31245, 1107, 769, 713, 3381, 649, 1397, 875, 547, 946, 2789, 9695, 547, 3589, 5777, 540, 645, 867, 324, 14513, 9174, 1759, 593, 2837, 543, 11811, 563, 3080, 10158, 30654, 1107, 769, 713, 3381, 649, 1397, 875, 547, 1685, 513, 2290, 8862, 599, 30654, 563, 305, 24655, 1242, 2349, 4169, 1107, 769, 713, 3381, 649, 1397, 875, 547, 1685, 513, 5565, 8862, 599, 30654, 609, 1100, 18643, 563, 10521, 10158, 30654, 9453, 19983, 1107, 769, 713, 3381, 649, 1397, 875, 547, 5659, 513, 5565, 8862, 599, 30654, 609, 1100, 5872, 563, 10521, 10158, 30654, 2060, 19983, 1107, 769, 713, 3381, 649, 1397, 875, 547, 5659, 513, 5565, 8862, 599, 30654, 609, 5872, 563, 3198, 23701, 2060, 2859, 20537, 5565, 11790, 1107, 769, 713, 3381, 649, 1397, 875, 547, 3313, 875, 476, 274, 610, 811, 2188, 666, 581, 1305, 547, 11126, 513, 8200, 4756, 563, 307, 16781, 543, 17897, 1275, 1109, 1700, 769, 1109, 10472, 3381, 649, 1397, 875, 547, 7447, 519, 7678, 543, 12119, 17523, 585, 10865, 2475, 29617, 5195, 563, 305, 26559, 547, 25021, 19105, 3487, 2290, 1109, 1700, 769, 713, 3381, 649, 1397, 875, 519, 22472, 547, 25021, 19105, 6396, 568, 1031, 547, 9472, 942, 3126, 538, 519, 4527, 540, 7066, 526, 543, 17897, 1275, 563, 305, 26559, 547, 25021, 19105, 3487, 5565, 1107, 1109, 1103, 713, 3381, 649, 9959, 938, 4901, 540, 519, 22472, 547, 25021, 19105, 6396, 563, 310, 5793, 779, 6396, 540, 5983, 26511, 4985, 1107, 769, 713, 3381, 649, 1397, 875, 15604, 779, 12825, 5347, 532, 1505, 666, 581, 1031, 547, 9472, 538, 519, 4527, 540, 7066, 526, 543, 4005, 1275, 563, 310, 5793, 779, 6396, 1107, 12307, 1109, 1700, 901, 3381, 568, 513, 27402, 540, 519, 15604, 779, 6396, 540, 20925, 563, 310, 5793, 779, 6396, 1107, 19461, 1436, 1107, 901, 3381, 568, 513, 27402, 540, 519, 15604, 779, 6396, 540, 20925, 563, 310, 5793, 779, 6396, 1107, 23840, 1107, 901, 3381, 568, 519, 6388, 543, 3932, 540, 519, 15604, 779, 6396, 540, 20925, 563, 290, 13072, 5742, 5983, 26511, 3487, 2290, 1107, 769, 1109, 10472, 3381, 649, 1397, 875, 547, 6451, 4005, 1275, 543, 2027, 2188, 538, 513, 9472, 540, 513, 4871, 779, 3232, 6075, 1293, 563, 290, 13072, 5742, 5983, 26511, 3487, 5565, 1109, 1700, 769, 713, 3381, 649, 9096, 938, 4901, 540, 20925, 3232, 6075, 1293, 693, 513, 4871, 563, 303, 9438, 532, 12229, 19833, 1109, 1700, 769, 713, 3381, 649, 1397, 875, 547, 946, 519, 9185, 3752, 591, 547, 3313, 875, 4005, 1275, 267, 7193, 6455, 267, 543, 10131, 7389, 1860, 3301, 6455, 563, 8794, 634, 645, 8175, 24143, 1677, 21414, 5983, 322, 7539, 1109, 1700, 769, 713, 3381, 552, 1397, 875, 519, 645, 8175, 6060, 666, 581, 1031, 547, 6218, 2062, 322, 7539, 602, 3589, 9352, 4093, 630, 1778, 610, 1100, 4764, 267, 1753, 2319, 17993, 715, 14566, 3014, 267, 3092, 8094, 20288, 26511, 15443, 344, 4446, 19833, 1109, 1700, 769, 713, 3381, 649, 1397, 875, 547, 946, 519, 3752, 591, 547, 3313, 875, 938, 3902, 267, 519, 2841, 3218, 779, 3902, 267, 543, 2436, 519, 1587, 568, 593, 4159, 7506, 17711, 3046, 6455, 563, 7072, 547, 22757, 30408, 29896, 1107, 769, 713, 3381, 649, 6338, 22757, 30408, 29896, 269, 22757, 30408, 666, 2203, 519, 5506, 3892, 540, 4093, 538, 519, 4527, 540, 10462, 563, 763, 681, 13263, 543, 681, 13263, 289, 4953, 25446, 2894, 12793, 1107, 1109, 1103, 713, 3381, 649, 9414, 519, 681, 13263, 543, 681, 13263, 289, 4953, 25446, 2894, 3252, 799, 616, 519, 1883, 547, 9185, 13502, 563, 8245, 6819, 513, 2598, 4740, 15932, 24438, 1109, 1700, 769, 713, 3381, 649, 1397, 875, 547, 18082, 513, 15768, 4351, 4756, 563, 8245, 6819, 513, 16453, 1109, 305, 24655, 24438, 1109, 1700, 769, 713, 3381, 649, 1397, 875, 547, 18082, 513, 3339, 4351, 4756, 563, 8245, 6819, 513, 28473, 769, 940, 1109, 1700, 769, 713, 3381, 649, 18082, 519, 1297, 540, 8255, 513, 13836, 2319, 8464, 538, 606, 538, 940, 563, 763, 17510, 1485, 9046, 1109, 1700, 769, 713, 3381, 649, 946, 11191, 547, 7447, 519, 5506, 602, 952, 562, 1004, 616, 538, 519, 4055, 693, 2547, 1079, 1004, 723, 519, 1482, 14512, 563, 290, 571, 1186, 1109, 1700, 769, 713, 3381, 649, 1397, 875, 547, 3313, 519, 5506, 540, 10888, 693, 6159, 1186, 563, 763, 1715, 4944, 3205, 9046, 1109, 1700, 769, 713, 3381, 649, 1397, 875, 547, 3313, 606, 1931, 610, 2504, 7274, 602, 12366, 3278, 4397, 7443, 538, 519, 4527, 540, 7334, 3747, 563, 289, 27570, 1109, 1700, 769, 713, 3381, 649, 1397, 875, 547, 3313, 513, 19915, 602, 12366, 3278, 4397, 7443, 2016, 519, 10462, 827, 2841, 3218, 779, 536, 27570, 2623, 563, 303, 20269, 1109, 1700, 769, 713, 3381, 649, 1397, 875, 547, 968, 9526, 892, 513, 2947, 3556, 533, 20269, 1688, 543, 5173, 519, 4960, 540, 3478, 1079, 6292, 563, 8245, 6819, 519, 715, 10621, 5685, 1023, 1107, 769, 713, 3381, 649, 1397, 875, 11191, 666, 581, 1031, 547, 7447, 519, 4960, 540, 1142, 2319, 10888, 519, 715, 10621, 1710, 1023, 563, 294, 3711, 2401, 779, 22859, 514, 1109, 1700, 769, 713, 3381, 649, 2626, 519, 2243, 267, 968, 2252, 594, 723, 8096, 273, 543, 1404, 606, 15490, 3014, 267, 1018, 568, 519, 4960, 594, 1205, 547, 8096, 277, 1354, 2469, 22625, 18313, 1805, 1442, 9046, 1107, 769, 713, 3381, 649, 2626, 519, 2243, 267, 968, 2252, 513, 6006, 568, 8449, 2693, 547, 2132, 476, 2568, 260, 610, 910, 2412, 260, 1142, 1032, 267, 568, 621, 513, 1434, 6006, 9495, 1411, 1522, 581, 14281, 2336, 310, 15619, 6790, 752, 1109, 1700, 769, 713, 3381, 649, 1397, 875, 547, 3313, 519, 3328, 3259, 540, 519, 13074, 10888, 1792, 752, 585, 513, 2319, 602, 17993, 476, 3583, 260, 540, 741, 3756, 563, 31088, 7167, 3809, 1107, 769, 713, 3381, 649, 1397, 875, 547, 3313, 519, 1184, 12588, 540, 513, 1184, 563, 306, 1460, 590, 7950, 1107, 769, 713, 3381, 649, 1397, 875, 16359, 7637, 5462, 602, 513, 1184, 1058, 723, 16551, 581, 3670, 29178, 689, 519, 1184, 1611, 563, 303, 16644, 11301, 543, 4347, 624, 633, 19590, 1107, 769, 713, 3381, 649, 1397, 875, 623, 16644, 11301, 616, 1031, 547, 3313, 952, 519, 6824, 26843, 568, 538, 1852, 563, 311, 5174, 541, 932, 11301, 543, 6713, 6513, 1107, 769, 713, 3381, 649, 1397, 875, 547, 946, 606, 1535, 1532, 541, 5750, 547, 3313, 952, 519, 1377, 540, 513, 1184, 568, 538, 1852, 563, 305, 5190, 609, 681, 16644, 11301, 1107, 769, 713, 3381, 649, 1397, 875, 547, 946, 606, 681, 16644, 691, 547, 3313, 952, 513, 1184, 685, 13260, 568, 538, 1852, 563, 300, 8221, 16186, 932, 11301, 543, 6713, 6513, 1107, 769, 713, 3381, 649, 946, 513, 3001, 2039, 5750, 547, 3313, 630, 22372, 593, 1367, 7403, 264, 952, 513, 1184, 568, 538, 1852, 563, 20779, 532, 779, 8342, 6773, 1107, 769, 713 ]

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

[ 0, 5814, 4351, 454, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 544, 1598, 815, 834, 16591, 1434, 1353, 2073, 1554, 1554, 909, 4840, 825, 2247, 1410, 815, 544, 1598, 26098, 2891, 16591, 5602, 825, 1820, 9852, 8161, 2020, 825, 544, 12248, 815, 544, 1598, 29644, 2891, 16591, 5602, 825, 1820, 9852, 12248, 2020, 825, 562, 1598, 815, 544, 1598, 18622, 2897, 2891, 16591, 14824, 326, 644, 5602, 825, 1820, 3799, 1598, 2020, 825, 544, 4289, 815, 544, 1598, 21858, 2891, 19515, 825, 1820, 9852, 4289, 2020, 825, 544, 4289, 815, 544, 1598, 21858, 2891, 14307, 272, 994, 825, 1820, 9852, 4289, 2020, 825, 562, 1598, 815, 544, 1598, 269, 5115, 1388, 1125, 4590, 825, 1820, 3799, 1598, 2020, 825, 544, 1598, 815, 834, 1015, 4840, 825, 562, 1598, 815, 544, 1598, 7456, 3286, 263, 1015, 2437, 268, 5602, 825, 1820, 3799, 1598, 2020, 825, 544, 1598, 815, 834, 1015, 4840, 825, 562, 1598, 815, 544, 1598, 10611, 3286, 263, 1015, 267, 29038, 5602, 825, 1820, 3799, 1598, 9239, 825, 544, 4289, 815, 1592, 4590, 825, 1820, 263, 6943, 9852, 4289, 11723, 825, 544, 4289, 6910, 2891, 419, 493, 511, 421, 499, 379, 5602, 825, 1820, 9852, 4289, 2020, 825, 544, 4289, 27044, 263, 271, 2437, 27730, 417, 356, 498, 5602, 825, 1820, 9852, 4289, 2020, 825, 544, 4289, 21014, 4590, 825, 1820, 9852, 4289, 2020, 825, 1642, 544, 4289, 454, 825, 1820, 9852, 4289, 2020, 825, 1250, 11133, 815, 1496, 274, 267, 278, 267, 275, 267, 273, 2639, 825, 4351, 11075, 28984, 9852, 2106, 636, 994, 825, 1820, 9852, 2106, 636, 2020, 825, 1250, 11133, 31699, 263, 516, 2091, 18989, 994, 825, 1820, 9852, 2106, 636, 2020, 825, 1250, 11133, 18622, 2091, 4590, 825, 1820, 9852, 2106, 636, 2020, 825, 544, 4289, 815, 1496, 272, 267, 273, 267, 274, 267, 275, 2437, 515, 515, 2580, 274, 269, 274, 6540, 825, 544, 6352, 815, 7003, 9852, 4289, 2020, 825, 1820, 9852, 6352, 2020, 825, 544, 4289, 815, 1496, 272, 267, 273, 267, 274, 267, 275, 2639, 825, 585, 1775, 538, 544, 4289, 10778, 1038, 1820, 9217, 2020, 825, 544, 4289, 314, 271, 316, 815, 476, 1015, 454, 825, 585, 1775, 538, 544, 4289, 10778, 1038, 1780, 454, 1038, 1948, 2745, 9217, 2020, 825, 544, 4289, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 2639, 825, 562, 4289, 815, 544, 4289, 454, 825, 1820, 2891, 332, 4289, 7329, 568, 2715, 332, 4289, 573, 348, 2668, 8971, 9852, 4289, 573, 815, 7329, 9852, 4289, 21875, 825, 1820, 2891, 332, 4289, 7329, 568, 2715, 333, 4289, 573, 348, 2668, 8971, 3799, 4289, 573, 284, 573, 3799, 4289, 4297, 2020, 825, 544, 4289, 815, 1496, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 267, 278, 267, 279, 267, 280, 267, 271, 2639, 825, 1820, 263, 573, 9852, 4289, 4917, 825, 1642, 544, 4289, 314, 271, 2639, 825, 1820, 9852, 4289, 2020, 825, 544, 4289, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 267, 476, 279, 267, 476, 280, 267, 476, 271, 2639, 825, 512, 284, 273, 454, 825, 1820, 2891, 514, 9847, 14307, 339, 538, 544, 4289, 994, 825, 1820, 2891, 2254, 538, 9847, 2580, 512, 711, 538, 544, 4289, 2020, 19638, 692, 0, 5814, 11885, 607, 5286, 454, 5814, 4351, 692, 3698, 1205, 32622, 10031, 825, 8173, 825, 717, 1161, 4351, 2798, 689, 519, 7455, 454, 825, 8173, 825, 570, 5588, 3201, 815, 476, 273, 454, 825, 2798, 815, 5286, 25910, 9230, 307, 5588, 3201, 267, 307, 5588, 3201, 4917, 825, 585, 1775, 538, 2039, 24867, 5588, 3201, 2187, 1038, 1535, 815, 5286, 20179, 26716, 4069, 9230, 12639, 30784, 1052, 8987, 272, 267, 272, 267, 271, 269, 272, 28504, 6943, 8782, 15615, 1626, 262, 21875, 1038, 586, 815, 5286, 4732, 514, 18828, 32564, 20080, 994, 1038, 2798, 5157, 316, 815, 1535, 11971, 692, 825, 2132, 2798, 692, 3698, 1205, 20228, 2100, 263, 9557, 2187, 825, 2132, 630, 9557, 314, 272, 267, 272, 316, 268, 9557, 314, 271, 267, 272, 8079, 14370, 12639, 28802, 611, 1372, 343, 335, 263, 9557, 314, 272, 267, 271, 3910, 268, 9557, 314, 271, 267, 271, 8079, 2020, 3698, 1205, 30182, 28840, 8170, 307, 7434, 338, 815, 476, 1911, 271, 2187, 825, 856, 815, 5286, 25910, 28840, 8170, 307, 7434, 338, 994, 825, 585, 1775, 538, 2039, 28840, 8170, 307, 7434, 338, 2187, 1038, 856, 5157, 316, 815, 1205, 20228, 2100, 263, 1326, 32622, 31156, 825, 2132, 5286, 32557, 263, 719, 2020, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1820, 263, 1326, 30182, 28840, 8170, 307, 7434, 338, 815, 476, 1911, 1822, 4917, 0, 258, 2026, 322, 2056, 31592, 9406, 24234, 21121, 1234, 951, 5897, 18851, 1477, 272, 476, 273, 476, 274, 476, 275, 476, 276, 1477, 272, 476, 273, 476, 274, 476, 275, 1477, 272, 476, 273, 476, 274, 1477, 272, 476, 273, 1477, 272, 476, 5897, 18851, 5897, 5897, 333, 25507, 9272, 3890, 3418, 1721, 1775, 538, 2039, 263, 271, 19885, 8029, 825, 585, 795, 538, 2039, 3799, 25829, 8029, 1038, 952, 795, 283, 333, 268, 272, 25829, 6769, 2018, 1820, 27203, 266, 272, 267, 754, 8782, 1412, 3418, 1038, 3116, 6769, 2018, 1820, 27203, 266, 272, 267, 754, 284, 5257, 10142, 825, 952, 1775, 283, 333, 268, 272, 281, 24541, 1038, 1820, 3890, 0, 258, 268, 265, 268, 322, 5317, 281, 583, 325, 268, 279, 28605, 1477, 18257, 1477, 32046, 593, 476, 1001, 277, 23946, 368, 276, 10951, 486, 276, 20721, 354, 5897, 287, 10461, 281, 15073, 340, 1477, 18257, 5897, 770, 2590, 815, 834, 15916, 1158, 10590, 1477, 770, 2590, 273, 815, 1412, 15916, 1158, 256, 262, 5897, 2745, 834, 338, 17532, 10530, 616, 1412, 1412, 29177, 2745, 7003, 263, 770, 2590, 10142, 2745, 513, 11415, 28827, 2891, 334, 14744, 2745, 513, 11415, 29644, 2891, 272, 14744, 2745, 513, 11415, 314, 274, 281, 278, 15947, 2745, 513, 11415, 314, 274, 281, 278, 281, 273, 316, 5897, 2745, 513, 11415, 11468, 18737, 272, 15947, 2745, 513, 11415, 269, 21639, 14052, 2745, 513, 11415, 31573, 31476, 2745, 513, 11415, 269, 11034, 1873, 603, 2891, 15916, 14744, 2745, 513, 11415, 269, 1742, 5976, 2891, 553, 4206, 553, 4206, 553, 4206, 257, 10142, 2378, 1168, 6919, 815, 513, 11415, 21858, 2891, 834, 3418, 2745, 7192, 1168, 6919, 0, 258, 268, 265, 268, 322, 5317, 281, 583, 325, 268, 279, 28605, 1477, 18257, 1477, 32046, 593, 476, 1001, 277, 23946, 368, 276, 10951, 486, 276, 20721, 354, 5897, 287, 10461, 281, 15073, 340, 1477, 18257, 5897, 4067, 815, 834, 11990, 29177, 720, 815, 476, 2537, 5897, 2745, 834, 15916, 267, 260, 338, 10590, 4939, 2012, 1477, 2745, 834, 260, 338, 568, 4939, 323, 1296, 2025, 1701, 4939, 630, 4067, 267, 720, 3418, 332, 2643, 626, 815, 1496, 272, 267, 273, 267, 274, 15947, 2745, 834, 288, 1592, 281, 4939, 338, 257, 4939, 1250, 4289, 5897, 0, 454, 325, 21209, 815, 22373, 1805, 3863, 11241, 2580, 834, 301, 20973, 1149, 2580, 834, 7343, 956, 2580, 834, 294, 1905, 525, 2580, 834, 8248, 2851, 2580, 834, 290, 615, 1845, 2580, 834, 303, 8986, 31116, 557, 1326, 1963, 815, 22373, 8967, 514, 778, 2580, 834, 298, 1446, 2580, 834, 25402, 10633, 2580, 834, 290, 601, 2044, 2580, 834, 22025, 10633, 257, 6540, 258, 8161, 5470, 454, 26319, 815, 7003, 6600, 21209, 994, 2745, 10857, 2654, 994, 258, 649, 1711, 4994, 5470, 454, 258, 1820, 6600, 21209, 314, 26319, 7481, 2745, 6600, 21209, 314, 26319, 268, 272, 20285, 258, 333, 6479, 8638, 454, 323, 8812, 318, 4777, 7999, 815, 1496, 325, 21209, 267, 5388, 2639, 2745, 5560, 8812, 318, 4777, 7999, 264, 0, 18851, 276, 269, 16549, 345, 546, 2033, 1592, 324, 3443, 560, 342, 1775, 1592, 324, 5212, 335, 578, 328, 611, 1690, 2329, 577, 708, 11465, 770, 630, 560, 4301, 1040, 2098, 777, 1886, 517, 340, 329, 454, 11584, 19241, 675, 546, 1415, 577, 1775, 23040, 529, 345, 1982, 910, 6067, 530, 737, 339, 6759, 516, 329, 17485, 340, 329, 5519, 795, 539, 7224, 454, 3966, 560, 6851, 1775, 29473, 345, 2131, 340, 329, 5519, 10540, 16492, 795, 1122, 334, 588, 32123, 269, 5358, 4073, 514, 1329, 544, 773, 322, 454, 332, 9926, 2993, 342, 8113, 546, 617, 16492, 1631, 1122, 334, 3443, 560, 11445, 1775, 795, 1122, 334, 588, 32123, 267, 1990, 997, 345, 16492, 5309, 19241, 6759, 342, 454, 328, 1217, 9774, 807, 1178, 322, 5633, 522, 795, 1122, 334, 530, 2106, 30884, 269, 6182, 322, 345, 632, 1097, 706, 16660, 522, 476, 3342, 857, 4073, 339, 6759, 337, 7999, 27969, 454, 5814, 4351, 692, 258, 3443, 560, 11445, 815, 18358, 303, 11169, 6390, 12887, 305, 657, 10937, 12887, 301, 22044, 1097, 12887, 290, 14864, 344, 12887, 306, 869, 659, 10937, 12887, 299, 527, 11445, 12887, 308, 330, 1778, 320, 12887, 289, 658, 11501, 23300, 3966, 560, 11445, 815, 18358, 303, 11169, 6390, 12887, 305, 657, 10937, 23300, 560, 565, 823, 815, 18358, 310, 1513, 345, 11867, 12887, 300, 657, 330, 11445, 12887, 29155, 4802, 12887, 303, 4048, 320, 12887, 289, 7806, 903, 331, 11867, 12887, 310, 559, 7224, 12887, 298, 6359, 578, 12887, 300, 1231, 330, 262, 6540, 338, 869, 23364, 815, 2715, 10926, 1721, 1775, 25814, 538, 23407, 263, 3966, 560, 11445, 267, 560, 565, 823, 2187, 825, 1948, 1820, 9217, 25814, 994, 825, 3500, 23364, 5157, 24557, 329, 692, 258, 1820, 4433, 869, 23364, 2020, 3698, 17485, 340, 329, 3890, 1384, 825, 1178, 329, 815, 834, 339, 752, 4840, 825, 533, 14150, 815, 476, 271, 454, 825, 1247, 630, 6588, 329, 2652, 834, 339, 752, 257, 610, 476, 1178, 329, 11203, 834, 22448, 8442, 543, 7003, 263, 3966, 560, 11445, 264, 285, 271, 912, 1038, 1071, 815, 703, 9272, 2891, 3269, 10870, 669, 806, 345, 1990, 13681, 545, 888, 2018, 476, 272, 269, 313, 27558, 329, 530, 6067, 15030, 2643, 657, 340, 329, 17328, 385, 482, 560, 6851, 1775, 5212, 335, 578, 1221, 345, 795, 10440, 795, 652, 795, 1122, 334, 588, 565, 3821, 454, 2018, 476, 273, 6185, 617, 1690, 1631, 324, 3443, 560, 6851, 1775, 588, 565, 823, 454, 2018, 476, 274, 10422, 758, 1794, 5309, 330, 1399, 9638, 3863, 573, 869, 324, 5212, 335, 578, 1221, 17844, 1094, 1990, 997, 29773, 9385, 333, 18851, 4917, 1038, 952, 1071, 2652, 476, 272, 912, 2018, 737, 815, 4351, 26716, 4069, 263, 3966, 560, 11445, 994, 2018, 1820, 17347, 994, 2018, 7510, 11927, 773, 815, 6358, 2891, 303, 617, 1690, 588, 565, 823, 15854, 1122, 334, 7754, 560, 11445, 24097, 333, 15419, 2018, 952, 7510, 11927, 773, 14714, 8692, 14061, 12294, 3890, 2652, 3500, 23364, 25208, 4940, 12294, 10031, 3546, 1820, 263, 7510, 11927, 773, 269, 21639, 3890, 1341, 834, 795, 652, 588, 565, 3821, 834, 1341, 737, 994, 3546, 533, 14150, 6834, 476, 272, 454, 3546, 3443, 560, 11445, 31927, 17347, 994, 2018, 3116, 912, 3546, 1820, 263, 7510, 11927, 773, 269, 21639, 3890, 1341, 834, 22448, 795, 652, 588, 565, 3821, 834, 1341, 737, 2020, 1038, 8640, 1071, 2652, 476, 273, 912, 2018, 3443, 560, 6851, 815, 3403, 2891, 303, 617, 1690, 3443, 560, 6851, 267, 737, 339, 648, 669, 806, 345, 546, 617, 659, 281, 19515, 2018, 588, 565, 3821, 815, 3403, 2891, 303, 617, 1690, 588, 565, 823, 751, 2998, 3443, 560, 11445, 281, 19515, 2018, 952, 3443, 560, 6851, 11203, 3500, 23364, 269, 12399, 10031, 3546, 3500, 23364, 314, 3966, 560, 6851, 316, 815, 588, 565, 3821, 454, 3546, 3443, 560, 11445, 6910, 263, 3966, 560, 6851, 994, 1038, 8640, 1071, 2652, 476, 274, 912, 2018, 1820, 9638, 14150, 2020, 7531, 1038, 1178, 329, 815, 3403, 2891, 290, 5414, 669, 806, 345, 1178, 322, 546, 1446, 329, 286, 512, 752, 14672, 773, 5602, 1038, 1820, 263, 3966, 560, 11445, 994, 825, 1948, 562, 773, 530, 22044, 795, 752, 1990, 13681, 545, 18410, 2421, 530, 903, 342, 2884, 331, 559, 334, 562, 600, 533, 19241, 795, 14162, 7942, 30458, 795, 652, 533, 755, 320, 454, 825, 952, 7003, 263, 3966, 560, 11445, 264, 2652, 476, 271, 912, 1038, 1820, 3488, 335, 6064, 1399, 281, 22207, 335, 14150, 9239, 32221, 340, 329, 10797, 0, 258, 2237, 707, 3009, 2630, 713, 1899, 26461, 485, 454, 258, 295, 842, 281, 5457, 547, 1104, 519, 4351, 9074, 1101, 269, 9462, 492, 366, 454, 18411, 258, 27491, 454, 2791, 616, 2469, 547, 2328 ]

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